TSTP Solution File: SWW369+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW369+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:08:36 EDT 2024
% Result : Theorem 182.20s 182.05s
% Output : CNFRefutation 182.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW369+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jun 19 07:23:09 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 181.83/181.88 %-------------------------------------------
% 181.83/181.88 % File :CSE---1.7
% 181.83/181.88 % Problem :theBenchmark
% 181.83/181.88 % Transform :cnf
% 181.83/181.88 % Format :tptp:raw
% 181.83/181.88 % Command :java -jar mcs_scs.jar %d %s
% 181.83/181.88
% 181.83/181.88 % Result :Theorem 161.960000s
% 181.83/181.88 % Output :CNFRefutation 161.960000s
% 181.83/181.88 %-------------------------------------------
% 181.83/181.89 %------------------------------------------------------------------------------
% 181.83/181.89 % File : SWW369+1 : TPTP v8.2.0. Released v5.2.0.
% 181.83/181.89 % Domain : Software Verification
% 181.83/181.89 % Problem : Hoare's Logic with Procedures 435466, 5000 axioms selected
% 181.83/181.89 % Version : Especial.
% 181.83/181.89 % English :
% 181.83/181.89
% 181.83/181.89 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 181.83/181.89 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 181.83/181.89 % Source : [Bla11]
% 181.83/181.89 % Names : hoare_435466.5000.p [Bla11]
% 181.83/181.89
% 181.83/181.89 % Status : ContradictoryAxioms
% 181.83/181.89 % Rating : 0.69 v8.1.0, 0.75 v7.5.0, 0.78 v7.4.0, 0.83 v7.3.0, 0.79 v7.1.0, 0.74 v7.0.0, 0.80 v6.4.0, 0.77 v6.3.0, 0.75 v6.2.0, 0.88 v6.1.0, 0.93 v6.0.0, 0.87 v5.5.0, 0.93 v5.4.0, 0.96 v5.2.0
% 181.83/181.89 % Syntax : Number of formulae : 5230 (1641 unt; 0 def)
% 181.83/181.89 % Number of atoms : 12823 (4427 equ)
% 181.83/181.89 % Maximal formula atoms : 13 ( 2 avg)
% 181.83/181.89 % Number of connectives : 8604 (1011 ~; 154 |; 737 &)
% 181.83/181.89 % ( 910 <=>;5792 =>; 0 <=; 0 <~>)
% 181.83/181.89 % Maximal formula depth : 22 ( 6 avg)
% 181.83/181.89 % Maximal term depth : 19 ( 2 avg)
% 181.83/181.89 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 181.83/181.89 % Number of functors : 379 ( 379 usr; 51 con; 0-7 aty)
% 181.83/181.89 % Number of variables : 16557 (16405 !; 152 ?)
% 181.83/181.89 % SPC : FOF_CAX_RFO_SEQ
% 181.83/181.89
% 181.83/181.89 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 181.83/181.89 % 2011-03-01 12:42:27
% 181.83/181.89 %------------------------------------------------------------------------------
% 181.83/181.89 %----Relevant facts (4983)
% 181.83/181.89 fof(fact_ext,axiom,
% 181.83/181.89 ! [V_g_2,V_f_2] :
% 181.83/181.89 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 181.83/181.89 => V_f_2 = V_g_2 ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_finite__imageI,axiom,
% 181.83/181.89 ! [V_h_2,T_c,V_F_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.83/181.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_card__insert__if,axiom,
% 181.83/181.89 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.89 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 181.83/181.89 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_card__insert__disjoint,axiom,
% 181.83/181.89 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.89 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_finite_OinsertI,axiom,
% 181.83/181.89 ! [V_a_2,V_A_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_image__eqI,axiom,
% 181.83/181.89 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 181.83/181.89 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 181.83/181.89 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insertE,axiom,
% 181.83/181.89 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 181.83/181.89 => ( V_a_2 != V_b_2
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insertCI,axiom,
% 181.83/181.89 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 181.83/181.89 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 181.83/181.89 => V_a_2 = V_b_2 )
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_card__image__le,axiom,
% 181.83/181.89 ! [V_f_2,T_c,V_A_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_card__insert__le,axiom,
% 181.83/181.89 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_Suc__diff__le,axiom,
% 181.83/181.89 ! [V_m,V_n] :
% 181.83/181.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.83/181.89 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insert__image,axiom,
% 181.83/181.89 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_equalityCE,axiom,
% 181.83/181.89 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 181.83/181.89 ( V_A_2 = V_B_2
% 181.83/181.89 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.89 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 181.83/181.89 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_eq__mem__trans,axiom,
% 181.83/181.89 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 181.83/181.89 ( V_a_2 = V_b_2
% 181.83/181.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 181.83/181.89 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_eqelem__imp__iff,axiom,
% 181.83/181.89 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 181.83/181.89 ( V_x_2 = V_y_2
% 181.83/181.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_eqset__imp__iff,axiom,
% 181.83/181.89 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 181.83/181.89 ( V_A_2 = V_B_2
% 181.83/181.89 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_mem__def,axiom,
% 181.83/181.89 ! [V_A_2,V_x_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.89 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_finite__code,axiom,
% 181.83/181.89 ! [V_A_2,T_b] :
% 181.83/181.89 ( class_Finite__Set_Ofinite(T_b)
% 181.83/181.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_finite,axiom,
% 181.83/181.89 ! [V_A_2,T_b] :
% 181.83/181.89 ( class_Finite__Set_Ofinite(T_b)
% 181.83/181.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insert__code,axiom,
% 181.83/181.89 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 181.83/181.89 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 181.83/181.89 <=> ( V_y_2 = V_x_2
% 181.83/181.89 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insert__commute,axiom,
% 181.83/181.89 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_insert__absorb2,axiom,
% 181.83/181.89 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 181.83/181.89
% 181.83/181.89 fof(fact_Suc__inject,axiom,
% 181.83/181.89 ! [V_y,V_x] :
% 181.83/181.90 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 181.83/181.90 => V_x = V_y ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_nat_Oinject,axiom,
% 181.83/181.90 ! [V_nat_H_2,V_nat_2] :
% 181.83/181.90 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 181.83/181.90 <=> V_nat_2 = V_nat_H_2 ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Suc__n__not__n,axiom,
% 181.83/181.90 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 181.83/181.90
% 181.83/181.90 fof(fact_n__not__Suc__n,axiom,
% 181.83/181.90 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__antisym,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.83/181.90 => V_m = V_n ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__trans,axiom,
% 181.83/181.90 ! [V_k,V_j,V_i] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_eq__imp__le,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( V_m = V_n
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_nat__le__linear,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__refl,axiom,
% 181.83/181.90 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__commute,axiom,
% 181.83/181.90 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_image__image,axiom,
% 181.83/181.90 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_insert__absorb,axiom,
% 181.83/181.90 ! [V_A_2,V_a_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.90 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_insertI2,axiom,
% 181.83/181.90 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_insert__ident,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 181.83/181.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.90 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.83/181.90 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 181.83/181.90 <=> V_A_2 = V_B_2 ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_insert__iff,axiom,
% 181.83/181.90 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 181.83/181.90 <=> ( V_a_2 = V_b_2
% 181.83/181.90 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_insertI1,axiom,
% 181.83/181.90 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_rev__image__eqI,axiom,
% 181.83/181.90 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.90 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_imageI,axiom,
% 181.83/181.90 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_image__iff,axiom,
% 181.83/181.90 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 181.83/181.90 <=> ? [B_x] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 181.83/181.90 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_finite__insert,axiom,
% 181.83/181.90 ! [V_A_2,V_a_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 181.83/181.90 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_image__insert,axiom,
% 181.83/181.90 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Suc__leD,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__SucE,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 181.83/181.90 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__SucI,axiom,
% 181.83/181.90 ! [V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Suc__le__mono,axiom,
% 181.83/181.90 ! [V_m_2,V_na_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 181.83/181.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__Suc__eq,axiom,
% 181.83/181.90 ! [V_na_2,V_m_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 181.83/181.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.83/181.90 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_not__less__eq__eq,axiom,
% 181.83/181.90 ! [V_na_2,V_m_2] :
% 181.83/181.90 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.83/181.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Suc__n__not__le__n,axiom,
% 181.83/181.90 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Suc__diff__diff,axiom,
% 181.83/181.90 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__Suc__Suc,axiom,
% 181.83/181.90 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_le__diff__iff,axiom,
% 181.83/181.90 ! [V_na_2,V_m_2,V_k_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 181.83/181.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Nat_Odiff__diff__eq,axiom,
% 181.83/181.90 ! [V_n,V_m,V_k] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 181.83/181.90 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_eq__diff__iff,axiom,
% 181.83/181.90 ! [V_na_2,V_m_2,V_k_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 181.83/181.90 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)
% 181.83/181.90 <=> V_m_2 = V_na_2 ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__diff__cancel,axiom,
% 181.83/181.90 ! [V_n,V_i] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 181.83/181.90 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__le__mono,axiom,
% 181.83/181.90 ! [V_l,V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__le__mono2,axiom,
% 181.83/181.90 ! [V_l,V_n,V_m] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__le__self,axiom,
% 181.83/181.90 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_order__refl,axiom,
% 181.83/181.90 ! [V_x,T_a] :
% 181.83/181.90 ( class_Orderings_Opreorder(T_a)
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__eq__diff__less__eq,axiom,
% 181.83/181.90 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.83/181.90 ( class_Groups_Oordered__ab__group__add(T_b)
% 181.83/181.90 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 181.83/181.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_folding__image__simple_Oinsert,axiom,
% 181.83/181.90 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.90 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.90 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 181.83/181.90 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 181.83/181.90 ! [V_na_2,V_m_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 181.83/181.90 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 181.83/181.90 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.90 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.90 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 181.83/181.90 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.90 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 181.83/181.90 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_image__ident,axiom,
% 181.83/181.90 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 181.83/181.90
% 181.83/181.90 fof(fact_fun__diff__def,axiom,
% 181.83/181.90 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 181.83/181.90 ( class_Groups_Ominus(T_b)
% 181.83/181.90 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_pred__equals__eq,axiom,
% 181.83/181.90 ! [V_S_2,V_R_2,T_b] :
% 181.83/181.90 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 181.83/181.90 <=> V_R_2 = V_S_2 ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_folding__one__idem_Oin__idem,axiom,
% 181.83/181.90 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.83/181.90 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.83/181.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.90 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_assms_I4_J,axiom,
% 181.83/181.90 ! [V_pn_2] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U))
% 181.83/181.90 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_diff__card__le__card__Diff,axiom,
% 181.83/181.90 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_subsetD,axiom,
% 181.83/181.90 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_DiffI,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.90 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_DiffE,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.90 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_finite__Diff,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Diff__subset,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 181.83/181.90
% 181.83/181.90 fof(fact_Diff__idemp,axiom,
% 181.83/181.90 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_Diff__mono,axiom,
% 181.83/181.91 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_double__diff,axiom,
% 181.83/181.91 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.83/181.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_image__diff__subset,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_folding__one__idem_Oidem,axiom,
% 181.83/181.91 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 181.83/181.91 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.83/181.91 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 181.83/181.91 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.91 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.91 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.91 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.83/181.91 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_pred__subset__eq,axiom,
% 181.83/181.91 ! [V_S_2,V_R_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 181.83/181.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_Diff__iff,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.91 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_DiffD1,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_DiffD2,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite__Diff2,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_in__mono,axiom,
% 181.83/181.91 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_set__rev__mp,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_set__mp,axiom,
% 181.83/181.91 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_rev__finite__subset,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite__subset,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_subset__insertI,axiom,
% 181.83/181.91 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_subset__insertI2,axiom,
% 181.83/181.91 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_insert__mono,axiom,
% 181.83/181.91 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_subset__image__iff,axiom,
% 181.83/181.91 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 181.83/181.91 <=> ? [B_AA] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 181.83/181.91 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_image__mono,axiom,
% 181.83/181.91 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__Diff__subset,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.83/181.91 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_insert__Diff__if,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 181.83/181.91 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.83/181.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 181.83/181.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.83/181.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_insert__Diff1,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.83/181.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite__Diff__insert,axiom,
% 181.83/181.91 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 181.83/181.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_insert__subset,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 181.83/181.91 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.83/181.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_subset__insert,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 181.83/181.91 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 181.83/181.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite__surj,axiom,
% 181.83/181.91 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 181.83/181.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_nat__case__Suc,axiom,
% 181.83/181.91 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_le__fun__def,axiom,
% 181.83/181.91 ! [V_g_2,V_f_2,T_b,T_c] :
% 181.83/181.91 ( class_Orderings_Oord(T_c)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 181.83/181.91 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_linorder__linear,axiom,
% 181.83/181.91 ! [V_y,V_x,T_a] :
% 181.83/181.91 ( class_Orderings_Olinorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_order__eq__iff,axiom,
% 181.83/181.91 ! [V_y_2,V_x_2,T_b] :
% 181.83/181.91 ( class_Orderings_Oorder(T_b)
% 181.83/181.91 => ( V_x_2 = V_y_2
% 181.83/181.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.83/181.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_order__eq__refl,axiom,
% 181.83/181.91 ! [V_y,V_x,T_a] :
% 181.83/181.91 ( class_Orderings_Opreorder(T_a)
% 181.83/181.91 => ( V_x = V_y
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_le__funD,axiom,
% 181.83/181.91 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 181.83/181.91 ( class_Orderings_Oord(T_c)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_order__antisym__conv,axiom,
% 181.83/181.91 ! [V_x_2,V_y_2,T_b] :
% 181.83/181.91 ( class_Orderings_Oorder(T_b)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.83/181.91 <=> V_x_2 = V_y_2 ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_ord__eq__le__trans,axiom,
% 181.83/181.91 ! [V_c,V_b,V_a,T_a] :
% 181.83/181.91 ( class_Orderings_Oord(T_a)
% 181.83/181.91 => ( V_a = V_b
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_xt1_I3_J,axiom,
% 181.83/181.91 ! [V_c,V_b,V_a,T_a] :
% 181.83/181.91 ( class_Orderings_Oorder(T_a)
% 181.83/181.91 => ( V_a = V_b
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_ord__le__eq__trans,axiom,
% 181.83/181.91 ! [V_c,V_b,V_a,T_a] :
% 181.83/181.91 ( class_Orderings_Oord(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.83/181.91 => ( V_b = V_c
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_xt1_I4_J,axiom,
% 181.83/181.91 ! [V_c,V_a,V_b,T_a] :
% 181.83/181.91 ( class_Orderings_Oorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.83/181.91 => ( V_b = V_c
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_order__antisym,axiom,
% 181.83/181.91 ! [V_y,V_x,T_a] :
% 181.83/181.91 ( class_Orderings_Oorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.83/181.91 => V_x = V_y ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_order__trans,axiom,
% 181.83/181.91 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.91 ( class_Orderings_Opreorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_xt1_I5_J,axiom,
% 181.83/181.91 ! [V_x,V_y,T_a] :
% 181.83/181.91 ( class_Orderings_Oorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.91 => V_x = V_y ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_xt1_I6_J,axiom,
% 181.83/181.91 ! [V_z,V_x,V_y,T_a] :
% 181.83/181.91 ( class_Orderings_Oorder(T_a)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_le__funE,axiom,
% 181.83/181.91 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 181.83/181.91 ( class_Orderings_Oord(T_c)
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_linorder__le__cases,axiom,
% 181.83/181.91 ! [V_y,V_x,T_a] :
% 181.83/181.91 ( class_Orderings_Olinorder(T_a)
% 181.83/181.91 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_eq__mem,axiom,
% 181.83/181.91 ! [V_y_2,V_x_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 181.83/181.91 <=> V_x_2 = V_y_2 ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__mono,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__seteq,axiom,
% 181.83/181.91 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 181.83/181.91 => V_A_2 = V_B_2 ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_minus__apply,axiom,
% 181.83/181.91 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 181.83/181.91 ( class_Groups_Ominus(T_b)
% 181.83/181.91 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_diff__eq__diff__eq,axiom,
% 181.83/181.91 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.83/181.91 ( class_Groups_Oab__group__add(T_b)
% 181.83/181.91 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 181.83/181.91 => ( V_a_2 = V_b_2
% 181.83/181.91 <=> V_c_2 = V_d_2 ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_assms_I1_J,axiom,
% 181.83/181.91 ! [V_G_2,V_ts_2] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
% 181.83/181.91 => v_P(V_G_2,V_ts_2) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__Suc__Diff1,axiom,
% 181.83/181.91 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.83/181.91 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__Diff__insert,axiom,
% 181.83/181.91 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 181.83/181.91 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_folding__image__simple_Oremove,axiom,
% 181.83/181.91 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.91 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 181.83/181.91 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__Diff1__le,axiom,
% 181.83/181.91 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__insert,axiom,
% 181.83/181.91 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.83/181.91 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_assms_I2_J,axiom,
% 181.83/181.91 ! [V_G_2,V_pn_2] :
% 181.83/181.91 ( v_P(hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2)))),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))))
% 181.83/181.91 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,V_pn_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_assms_I3_J,axiom,
% 181.83/181.91 ! [V_G_2,V_c_2] :
% 181.83/181.91 ( v_wt(V_c_2)
% 181.83/181.91 => ( ! [B_x] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
% 181.83/181.91 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) )
% 181.83/181.91 => v_P(V_G_2,hAPP(hAPP(c_Set_Oinsert(t_a),v_mgt(V_c_2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 181.83/181.91 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.91 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.83/181.91 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_card__Diff__subset__Int,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_override__on__def,axiom,
% 181.83/181.91 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 181.83/181.91 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.91 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 181.83/181.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.91 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_imageE,axiom,
% 181.83/181.91 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 181.83/181.91 => ~ ! [B_x] :
% 181.83/181.91 ( V_b_2 = hAPP(V_f_2,B_x)
% 181.83/181.91 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_equalityI,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.83/181.91 => V_A_2 = V_B_2 ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_inf1E,axiom,
% 181.83/181.91 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 181.83/181.91 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 181.83/181.91 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_inf1I,axiom,
% 181.83/181.91 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 181.83/181.91 ( hBOOL(hAPP(V_A_2,V_x_2))
% 181.83/181.91 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_emptyE,axiom,
% 181.83/181.91 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite_OemptyI,axiom,
% 181.83/181.91 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_IntE,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.91 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.91 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_IntI,axiom,
% 181.83/181.91 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 181.83/181.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_empty__subsetI,axiom,
% 181.83/181.91 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 181.83/181.91
% 181.83/181.91 fof(fact_finite__Int,axiom,
% 181.83/181.91 ! [V_G_2,V_F_2,T_b] :
% 181.83/181.91 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.83/181.91 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) )
% 181.83/181.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_subset__refl,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_subset__empty,axiom,
% 181.83/181.92 ! [V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 181.83/181.92 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__lower1,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__lower2,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_set__eq__subset,axiom,
% 181.83/181.92 ! [T_b,V_B_2,V_A_2] :
% 181.83/181.92 ( V_A_2 = V_B_2
% 181.83/181.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_equalityD1,axiom,
% 181.83/181.92 ! [T_b,V_B_2,V_A_2] :
% 181.83/181.92 ( V_A_2 = V_B_2
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_equalityD2,axiom,
% 181.83/181.92 ! [T_b,V_B_2,V_A_2] :
% 181.83/181.92 ( V_A_2 = V_B_2
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__absorb2,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__absorb1,axiom,
% 181.83/181.92 ! [V_A_2,V_B_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_subset__trans,axiom,
% 181.83/181.92 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__greatest,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__mono,axiom,
% 181.83/181.92 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_equalityE,axiom,
% 181.83/181.92 ! [T_b,V_B_2,V_A_2] :
% 181.83/181.92 ( V_A_2 = V_B_2
% 181.83/181.92 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.83/181.92 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf1D2,axiom,
% 181.83/181.92 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 181.83/181.92 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf1D1,axiom,
% 181.83/181.92 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 181.83/181.92 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_predicate1D,axiom,
% 181.83/181.92 ! [V_x_2,V_Q_2,V_Pa_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 181.83/181.92 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 181.83/181.92 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_rev__predicate1D,axiom,
% 181.83/181.92 ! [V_Q_2,T_b,V_x_2,V_Pa_2] :
% 181.83/181.92 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2))
% 181.83/181.92 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__apply,axiom,
% 181.83/181.92 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 181.83/181.92 ( class_Lattices_Olattice(T_b)
% 181.83/181.92 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_override__on__emptyset,axiom,
% 181.83/181.92 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__assoc,axiom,
% 181.83/181.92 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__aci_I2_J,axiom,
% 181.83/181.92 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf_Oassoc,axiom,
% 181.83/181.92 ! [V_c,V_b,V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__left__commute,axiom,
% 181.83/181.92 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__aci_I3_J,axiom,
% 181.83/181.92 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf_Oleft__commute,axiom,
% 181.83/181.92 ! [V_c,V_a,V_b,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__left__idem,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__aci_I4_J,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf_Oleft__idem,axiom,
% 181.83/181.92 ! [V_b,V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__commute,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__aci_I1_J,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf_Ocommute,axiom,
% 181.83/181.92 ! [V_b,V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__fun__def,axiom,
% 181.83/181.92 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 181.83/181.92 ( class_Lattices_Olattice(T_b)
% 181.83/181.92 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__idem,axiom,
% 181.83/181.92 ! [V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf_Oidem,axiom,
% 181.83/181.92 ! [V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__bot__right,axiom,
% 181.83/181.92 ! [V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Obounded__lattice__bot(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_one__reorient,axiom,
% 181.83/181.92 ! [V_x_2,T_b] :
% 181.83/181.92 ( class_Groups_Oone(T_b)
% 181.83/181.92 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 181.83/181.92 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__bot__left,axiom,
% 181.83/181.92 ! [V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Obounded__lattice__bot(T_a)
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_bot__apply,axiom,
% 181.83/181.92 ! [V_x_2,T_c,T_b] :
% 181.83/181.92 ( class_Orderings_Obot(T_b)
% 181.83/181.92 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_bot__fun__def,axiom,
% 181.83/181.92 ! [V_x_2,T_c,T_b] :
% 181.83/181.92 ( class_Orderings_Obot(T_b)
% 181.83/181.92 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__assoc,axiom,
% 181.83/181.92 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_disjoint__iff__not__equal,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.83/181.92 <=> ! [B_x] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.83/181.92 => ! [B_xa] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 181.83/181.92 => B_x != B_xa ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__left__commute,axiom,
% 181.83/181.92 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__left__absorb,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__commute,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__absorb,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__empty__right,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__empty__left,axiom,
% 181.83/181.92 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__triv,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] :
% 181.83/181.92 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.83/181.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__disjoint,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__infE,axiom,
% 181.83/181.92 ! [V_b,V_a,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)))
% 181.83/181.92 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 181.83/181.92 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__mono,axiom,
% 181.83/181.92 ! [V_d,V_b,V_c,V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__greatest,axiom,
% 181.83/181.92 ! [V_z,V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__infI,axiom,
% 181.83/181.92 ! [V_b,V_a,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__absorb2,axiom,
% 181.83/181.92 ! [V_x,V_y,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__absorb1,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__infI2,axiom,
% 181.83/181.92 ! [V_a,V_x,V_b,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__infI1,axiom,
% 181.83/181.92 ! [V_b,V_x,V_a,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__inf__iff,axiom,
% 181.83/181.92 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_b)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 181.83/181.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.83/181.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_le__iff__inf,axiom,
% 181.83/181.92 ! [V_y_2,V_x_2,T_b] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_b)
% 181.83/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.83/181.92 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__le2,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__ord_I2_J,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__le1,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Osemilattice__inf(T_a)
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__sup__ord_I1_J,axiom,
% 181.83/181.92 ! [V_y,V_x,T_a] :
% 181.83/181.92 ( class_Lattices_Olattice(T_a)
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_IntD2,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_IntD1,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__iff,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.83/181.92 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.83/181.92 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_insert__inter__insert,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_image__Int__subset,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__Int2,axiom,
% 181.83/181.92 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__Int__distrib2,axiom,
% 181.83/181.92 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__Diff,axiom,
% 181.83/181.92 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__Int__distrib,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_equals0D,axiom,
% 181.83/181.92 ! [V_a_2,T_b,V_A_2] :
% 181.83/181.92 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.83/181.92 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_empty__iff,axiom,
% 181.83/181.92 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_ex__in__conv,axiom,
% 181.83/181.92 ! [V_A_2,T_b] :
% 181.83/181.92 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.83/181.92 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_all__not__in__conv,axiom,
% 181.83/181.92 ! [V_A_2,T_b] :
% 181.83/181.92 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.83/181.92 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_finite_Oequations_I1_J,axiom,
% 181.83/181.92 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_singleton__inject,axiom,
% 181.83/181.92 ! [V_b_2,V_a_2,T_b] :
% 181.83/181.92 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 181.83/181.92 => V_a_2 = V_b_2 ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_doubleton__eq__iff,axiom,
% 181.83/181.92 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.83/181.92 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 181.83/181.92 <=> ( ( V_a_2 = V_c_2
% 181.83/181.92 & V_b_2 = V_d_2 )
% 181.83/181.92 | ( V_a_2 = V_d_2
% 181.83/181.92 & V_b_2 = V_c_2 ) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_insert__not__empty,axiom,
% 181.83/181.92 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_empty__not__insert,axiom,
% 181.83/181.92 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_subset__singletonD,axiom,
% 181.83/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 181.83/181.92 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.83/181.92 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_image__is__empty,axiom,
% 181.83/181.92 ! [V_A_2,V_f_2,T_b,T_c] :
% 181.83/181.92 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.83/181.92 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_image__empty,axiom,
% 181.83/181.92 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_empty__is__image,axiom,
% 181.83/181.92 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.83/181.92 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 181.83/181.92 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__cancel,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Diff__empty,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 181.83/181.92
% 181.83/181.92 fof(fact_empty__Diff,axiom,
% 181.83/181.92 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_inf__Int__eq,axiom,
% 181.83/181.92 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 181.83/181.92 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_bot__empty__eq,axiom,
% 181.83/181.92 ! [V_x_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 181.83/181.92 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_bot__least,axiom,
% 181.83/181.92 ! [V_x,T_a] :
% 181.83/181.92 ( class_Orderings_Obot(T_a)
% 181.83/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_folding__image__simple_Oempty,axiom,
% 181.83/181.92 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.83/181.92 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.83/181.92 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__left__if1,axiom,
% 181.83/181.92 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__right__if1,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 181.83/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__left__if0,axiom,
% 181.83/181.92 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 181.83/181.92 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__right__if0,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 181.83/181.92 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__left,axiom,
% 181.83/181.92 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 181.83/181.92 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 181.83/181.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 181.83/181.92
% 181.83/181.92 fof(fact_Int__insert__right,axiom,
% 181.83/181.92 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 181.83/181.92 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.83/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 181.83/181.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_singletonE,axiom,
% 181.98/181.92 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 181.98/181.92 => V_b_2 = V_a_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_singleton__iff,axiom,
% 181.98/181.92 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 181.98/181.92 <=> V_b_2 = V_a_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_diff__Suc__1,axiom,
% 181.98/181.92 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 181.98/181.92
% 181.98/181.92 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 181.98/181.92 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_Diff__insert,axiom,
% 181.98/181.92 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_Diff__insert2,axiom,
% 181.98/181.92 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_insert__Diff__single,axiom,
% 181.98/181.92 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_image__constant__conv,axiom,
% 181.98/181.92 ! [V_c_2,T_c,T_b,V_A_2] :
% 181.98/181.92 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 181.98/181.92 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 181.98/181.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.98/181.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.92 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_override__on__apply__in,axiom,
% 181.98/181.92 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.92 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_override__on__apply__notin,axiom,
% 181.98/181.92 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 181.98/181.92 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.92 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card__Diff__singleton,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card__Diff__singleton__if,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 181.98/181.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_insert__Diff,axiom,
% 181.98/181.92 ! [V_A_2,V_a_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.92 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_Diff__insert__absorb,axiom,
% 181.98/181.92 ! [V_A_2,V_x_2,T_b] :
% 181.98/181.92 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_diff__single__insert,axiom,
% 181.98/181.92 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_subset__insert__iff,axiom,
% 181.98/181.92 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 181.98/181.92 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 181.98/181.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_image__constant,axiom,
% 181.98/181.92 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.98/181.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_folding__one_Oremove,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 181.98/181.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_the__elem__eq,axiom,
% 181.98/181.92 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 181.98/181.92
% 181.98/181.92 fof(fact_folding__one_Oinsert__remove,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 181.98/181.92 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card_Oremove,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_folding__one_Oinsert,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_fun__upd__image,axiom,
% 181.98/181.92 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 181.98/181.92 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 181.98/181.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card_Oinsert__remove,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card__Diff2__less,axiom,
% 181.98/181.92 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_card__Diff1__less,axiom,
% 181.98/181.92 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_finite__empty__induct,axiom,
% 181.98/181.92 ! [V_Pa_2,V_A_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 181.98/181.92 => ( ! [B_a,B_A] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 181.98/181.92 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 181.98/181.92 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 181.98/181.92 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_finite__subset__induct,axiom,
% 181.98/181.92 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 181.98/181.92 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 181.98/181.92 => ( ! [B_a,B_F] :
% 181.98/181.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 181.98/181.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 181.98/181.92 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 181.98/181.92 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 181.98/181.92 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_fun__upd__triv,axiom,
% 181.98/181.92 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 181.98/181.92
% 181.98/181.92 fof(fact_lessI,axiom,
% 181.98/181.92 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_Suc__mono,axiom,
% 181.98/181.92 ! [V_n,V_m] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_less__not__refl,axiom,
% 181.98/181.92 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_not__add__less1,axiom,
% 181.98/181.92 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_not__add__less2,axiom,
% 181.98/181.92 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__neq__iff,axiom,
% 181.98/181.92 ! [V_na_2,V_m_2] :
% 181.98/181.92 ( V_m_2 != V_na_2
% 181.98/181.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__commute,axiom,
% 181.98/181.92 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__left__commute,axiom,
% 181.98/181.92 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__assoc,axiom,
% 181.98/181.92 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__left__cancel,axiom,
% 181.98/181.92 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.92 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)
% 181.98/181.92 <=> V_m_2 = V_na_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__right__cancel,axiom,
% 181.98/181.92 ! [V_na_2,V_k_2,V_m_2] :
% 181.98/181.92 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)
% 181.98/181.92 <=> V_m_2 = V_na_2 ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__add__left__cancel__less,axiom,
% 181.98/181.92 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.92 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_linorder__neqE__nat,axiom,
% 181.98/181.92 ! [V_y,V_x] :
% 181.98/181.92 ( V_x != V_y
% 181.98/181.92 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_less__irrefl__nat,axiom,
% 181.98/181.92 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_less__not__refl2,axiom,
% 181.98/181.92 ! [V_m,V_n] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 181.98/181.92 => V_m != V_n ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_less__not__refl3,axiom,
% 181.98/181.92 ! [V_t,V_s] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 181.98/181.92 => V_s != V_t ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_trans__less__add1,axiom,
% 181.98/181.92 ! [V_m,V_j,V_i] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_trans__less__add2,axiom,
% 181.98/181.92 ! [V_m,V_j,V_i] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_add__less__mono1,axiom,
% 181.98/181.92 ! [V_k,V_j,V_i] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_add__less__mono,axiom,
% 181.98/181.92 ! [V_l,V_k,V_j,V_i] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_less__add__eq__less,axiom,
% 181.98/181.92 ! [V_n,V_m,V_l,V_k] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 181.98/181.92 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_add__lessD1,axiom,
% 181.98/181.92 ! [V_k,V_j,V_i] :
% 181.98/181.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 181.98/181.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_nat__less__cases,axiom,
% 181.98/181.92 ! [V_Pa_2,V_na_2,V_m_2] :
% 181.98/181.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 181.98/181.92 => ( ( V_m_2 = V_na_2
% 181.98/181.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 181.98/181.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 181.98/181.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) )
% 181.98/181.92 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_order__less__irrefl,axiom,
% 181.98/181.92 ! [V_x,T_a] :
% 181.98/181.92 ( class_Orderings_Opreorder(T_a)
% 181.98/181.92 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_linorder__neq__iff,axiom,
% 181.98/181.92 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.92 ( class_Orderings_Olinorder(T_b)
% 181.98/181.92 => ( V_x_2 != V_y_2
% 181.98/181.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_not__less__iff__gr__or__eq,axiom,
% 181.98/181.92 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.92 ( class_Orderings_Olinorder(T_b)
% 181.98/181.92 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 181.98/181.92 | V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.92
% 181.98/181.92 fof(fact_linorder__less__linear,axiom,
% 181.98/181.92 ! [V_y,V_x,T_a] :
% 181.98/181.92 ( class_Orderings_Olinorder(T_a)
% 181.98/181.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.92 | V_x = V_y
% 181.98/181.93 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oab__semigroup__add(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__left__cancel,axiom,
% 181.98/181.93 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.93 ( class_Groups_Ocancel__semigroup__add(T_b)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 181.98/181.93 <=> V_b_2 = V_c_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__right__cancel,axiom,
% 181.98/181.93 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 181.98/181.93 ( class_Groups_Ocancel__semigroup__add(T_b)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 181.98/181.93 <=> V_b_2 = V_c_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__less__cancel__right,axiom,
% 181.98/181.93 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__less__cancel__left,axiom,
% 181.98/181.93 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__idem__iff,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 181.98/181.93 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 181.98/181.93 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__upd,axiom,
% 181.98/181.93 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__same,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__apply,axiom,
% 181.98/181.93 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 181.98/181.93 ( ( V_z_2 = V_x_2
% 181.98/181.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 181.98/181.93 & ( V_z_2 != V_x_2
% 181.98/181.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__antisym__conv3,axiom,
% 181.98/181.93 ! [V_x_2,V_y_2,T_b] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_b)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__twist,axiom,
% 181.98/181.93 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 181.98/181.93 ( V_a_2 != V_c_2
% 181.98/181.93 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__other,axiom,
% 181.98/181.93 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 181.98/181.93 ( V_z_2 != V_x_2
% 181.98/181.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__neqE,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( V_x != V_y
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__imp__neq,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => V_x != V_y ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__not__sym,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__imp__not__less,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__imp__not__eq,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => V_x != V_y ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__imp__not__eq2,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => V_y != V_x ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__strict__right__mono,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__strict__left__mono,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__asym_H,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I9_J,axiom,
% 181.98/181.93 ! [V_a,V_b,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_ord__eq__less__trans,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oord(T_a)
% 181.98/181.93 => ( V_a = V_b
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I1_J,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( V_a = V_b
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_ord__less__eq__trans,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oord(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => ( V_b = V_c
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I2_J,axiom,
% 181.98/181.93 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.93 => ( V_b = V_c
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__trans,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I10_J,axiom,
% 181.98/181.93 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__strict__mono,axiom,
% 181.98/181.93 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__asym,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__idem,axiom,
% 181.98/181.93 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 181.98/181.93 ( hAPP(V_f_2,V_x_2) = V_y_2
% 181.98/181.93 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__left__imp__eq,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Ocancel__semigroup__add(T_a)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 181.98/181.93 => V_b = V_c ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__imp__eq,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 181.98/181.93 => V_b = V_c ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__right__imp__eq,axiom,
% 181.98/181.93 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.93 ( class_Groups_Ocancel__semigroup__add(T_a)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 181.98/181.93 => V_b = V_c ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__less__imp__less__right,axiom,
% 181.98/181.93 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__less__imp__less__left,axiom,
% 181.98/181.93 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__cases,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ( V_x != V_y
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__less__mono,axiom,
% 181.98/181.93 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__less__le__mono,axiom,
% 181.98/181.93 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__iff__Suc__add,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__add__Suc2,axiom,
% 181.98/181.93 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__add__Suc1,axiom,
% 181.98/181.93 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__diff__inverse,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__diff__conv,axiom,
% 181.98/181.93 ! [V_k_2,V_j_2,V_i_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__upd__def,axiom,
% 181.98/181.93 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 181.98/181.93 ( ( V_x_2 = V_a_2
% 181.98/181.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 181.98/181.93 & ( V_x_2 != V_a_2
% 181.98/181.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__cancel__right,axiom,
% 181.98/181.93 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__cancel__left,axiom,
% 181.98/181.93 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__right__mono,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__left__mono,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__mono,axiom,
% 181.98/181.93 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__imp__le__right,axiom,
% 181.98/181.93 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__imp__le__left,axiom,
% 181.98/181.93 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.93 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__add__cancel,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Ogroup__add(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__diff__cancel,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Groups_Ogroup__add(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__not__less,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_b)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__not__le,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_b)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__le__less__linear,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.93 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__le,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Oorder(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 & V_x_2 != V_y_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__le__not__le,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__le__less,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Oorder(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 | V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_leI,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_not__leE,axiom,
% 181.98/181.93 ! [V_x,V_y,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__antisym__conv1,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_b)
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__neq__le__trans,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( V_a != V_b
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I12_J,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( V_a != V_b
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_leD,axiom,
% 181.98/181.93 ! [V_x,V_y,T_a] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__imp__le,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__antisym__conv2,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Orderings_Olinorder(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__le__imp__less__or__eq,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 | V_x = V_y ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__le__neq__trans,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.93 => ( V_a != V_b
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I11_J,axiom,
% 181.98/181.93 ! [V_a,V_b,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.93 => ( V_a != V_b
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__less__le__trans,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I7_J,axiom,
% 181.98/181.93 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_order__le__less__trans,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Orderings_Opreorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_xt1_I8_J,axiom,
% 181.98/181.93 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.93 ( class_Orderings_Oorder(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__eq__diff__less,axiom,
% 181.98/181.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.93 ( class_Groups_Oordered__ab__group__add(T_b)
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__infI1,axiom,
% 181.98/181.93 ! [V_b,V_x,V_a,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__inf(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__infI2,axiom,
% 181.98/181.93 ! [V_a,V_x,V_b,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__inf(T_a)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__Suc__right,axiom,
% 181.98/181.93 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__Suc,axiom,
% 181.98/181.93 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__Suc__shift,axiom,
% 181.98/181.93 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_not__less__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__Suc__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 | V_m_2 = V_na_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__less__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_not__less__less__Suc__eq,axiom,
% 181.98/181.93 ! [V_m_2,V_na_2] :
% 181.98/181.93 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 181.98/181.93 <=> V_na_2 = V_m_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__antisym,axiom,
% 181.98/181.93 ! [V_m,V_n] :
% 181.98/181.93 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 181.98/181.93 => V_m = V_n ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__SucI,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__lessI,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__trans__Suc,axiom,
% 181.98/181.93 ! [V_k,V_j,V_i] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__SucE,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => V_m = V_n ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__lessD,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__less__SucD,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__add2,axiom,
% 181.98/181.93 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__add1,axiom,
% 181.98/181.93 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__iff__add,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_nat__add__left__cancel__le,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_trans__le__add1,axiom,
% 181.98/181.93 ! [V_m,V_j,V_i] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_trans__le__add2,axiom,
% 181.98/181.93 ! [V_m,V_j,V_i] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__mono1,axiom,
% 181.98/181.93 ! [V_k,V_j,V_i] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__le__mono,axiom,
% 181.98/181.93 ! [V_l,V_k,V_j,V_i] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__leD2,axiom,
% 181.98/181.93 ! [V_n,V_k,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__leD1,axiom,
% 181.98/181.93 ! [V_n,V_k,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__leE,axiom,
% 181.98/181.93 ! [V_n,V_k,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 181.98/181.93 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__add__inverse2,axiom,
% 181.98/181.93 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__add__inverse,axiom,
% 181.98/181.93 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__diff__left,axiom,
% 181.98/181.93 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__cancel,axiom,
% 181.98/181.93 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__cancel2,axiom,
% 181.98/181.93 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_nat__less__le,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 & V_m_2 != V_na_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__eq__less__or__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 | V_m_2 = V_na_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__imp__le__nat,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__neq__implies__less,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => ( V_m != V_n
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__or__eq__imp__le,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 | V_m = V_n )
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__imp__diff__less,axiom,
% 181.98/181.93 ! [V_n,V_k,V_j] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__less__mono2,axiom,
% 181.98/181.93 ! [V_l,V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__eq__Suc__le,axiom,
% 181.98/181.93 ! [V_m_2,V_na_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__Suc__eq__le,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__le__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__imp__less__Suc,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__leI,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__less__Suc__eq,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2)))
% 181.98/181.93 <=> V_na_2 = V_m_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__le__lessD,axiom,
% 181.98/181.93 ! [V_n,V_m] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__diff__right,axiom,
% 181.98/181.93 ! [V_i,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__diff__conv,axiom,
% 181.98/181.93 ! [V_i_2,V_k_2,V_j_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__add__diff,axiom,
% 181.98/181.93 ! [V_m,V_n,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__add__diff__inverse,axiom,
% 181.98/181.93 ! [V_m,V_n] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__diff__assoc,axiom,
% 181.98/181.93 ! [V_i,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__diff__conv2,axiom,
% 181.98/181.93 ! [V_i_2,V_j_2,V_k_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__add__diff__inverse2,axiom,
% 181.98/181.93 ! [V_m,V_n] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__imp__diff__is__add,axiom,
% 181.98/181.93 ! [V_k_2,V_j_2,V_i_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 181.98/181.93 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 181.98/181.93 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__add__assoc,axiom,
% 181.98/181.93 ! [V_i,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_add__diff__assoc2,axiom,
% 181.98/181.93 ! [V_i,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__add__assoc2,axiom,
% 181.98/181.93 ! [V_i,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__less__Suc,axiom,
% 181.98/181.93 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__eq__plus1,axiom,
% 181.98/181.93 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Suc__eq__plus1__left,axiom,
% 181.98/181.93 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__less__mono,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__diff__iff,axiom,
% 181.98/181.93 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_k_2)))
% 181.98/181.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__eq__Suc__le__raw,axiom,
% 181.98/181.93 ! [V_na_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__Suc__diff__eq1,axiom,
% 181.98/181.93 ! [V_m,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_diff__Suc__diff__eq2,axiom,
% 181.98/181.93 ! [V_m,V_j,V_k] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 181.98/181.93 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_folding__one_Osingleton,axiom,
% 181.98/181.93 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 181.98/181.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.93 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_card_Oinsert,axiom,
% 181.98/181.93 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__add__one,axiom,
% 181.98/181.93 ! [V_a,T_a] :
% 181.98/181.93 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_termination__basic__simps_I3_J,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_termination__basic__simps_I4_J,axiom,
% 181.98/181.93 ! [V_y,V_z,V_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_termination__basic__simps_I5_J,axiom,
% 181.98/181.93 ! [V_y,V_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_termination__basic__simps_I2_J,axiom,
% 181.98/181.93 ! [V_y,V_z,V_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_termination__basic__simps_I1_J,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_folding__one_Oclosed,axiom,
% 181.98/181.93 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_the__elem__def,axiom,
% 181.98/181.93 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 181.98/181.93 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 181.98/181.93 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.98/181.93 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.93 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__left__comm__idem__remove,axiom,
% 181.98/181.93 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_card__Plus,axiom,
% 181.98/181.93 ! [V_B_2,T_c,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.93 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 181.98/181.93 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 181.98/181.93 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 181.98/181.93 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 181.98/181.93 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 181.98/181.93 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 181.98/181.93 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__fun__def,axiom,
% 181.98/181.93 ! [V_g_2,V_f_2,T_b,T_c] :
% 181.98/181.93 ( class_Orderings_Oord(T_c)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 181.98/181.93 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubsetD,axiom,
% 181.98/181.93 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_not__psubset__empty,axiom,
% 181.98/181.93 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__eq,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 & V_A_2 != V_B_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_subset__iff__psubset__eq,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 | V_A_2 = V_B_2 ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__imp__subset,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__subset__trans,axiom,
% 181.98/181.93 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_subset__psubset__trans,axiom,
% 181.98/181.93 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__left__comm__idem__insert,axiom,
% 181.98/181.93 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_finite__PlusD_I2_J,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_c,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 181.98/181.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_finite__PlusD_I1_J,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_c,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 181.98/181.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_finite__Plus,axiom,
% 181.98/181.93 ! [V_B_2,T_c,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_finite__Plus__iff,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_c,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 181.98/181.93 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fun__left__comm__idem__inf,axiom,
% 181.98/181.93 ! [T_b] :
% 181.98/181.93 ( class_Lattices_Osemilattice__inf(T_b)
% 181.98/181.93 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__card__mono,axiom,
% 181.98/181.93 ! [V_A_2,V_B_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_linorder__neqE__linordered__idom,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.93 => ( V_x != V_y
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_card__psubset,axiom,
% 181.98/181.93 ! [V_A_2,V_B_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__insert__iff,axiom,
% 181.98/181.93 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 181.98/181.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 181.98/181.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 181.98/181.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 181.98/181.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_flat__lub__def,axiom,
% 181.98/181.93 ! [V_b_2,V_A_2,T_b] :
% 181.98/181.93 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 181.98/181.93 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 181.98/181.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 181.98/181.93 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Plus__eq__empty__conv,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_c,T_b] :
% 181.98/181.93 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 181.98/181.93 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_card__Plus__conv__if,axiom,
% 181.98/181.93 ! [V_B_2,T_c,V_A_2,T_b] :
% 181.98/181.93 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 181.98/181.93 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 181.98/181.93 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 181.98/181.93 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_the__sym__eq__trivial,axiom,
% 181.98/181.93 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 181.98/181.93
% 181.98/181.93 fof(fact_the__eq__trivial,axiom,
% 181.98/181.93 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 181.98/181.93
% 181.98/181.93 fof(fact_card__Un__disjoint,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.93 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_finite__induct,axiom,
% 181.98/181.93 ! [V_Pa_2,V_F_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.93 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 181.98/181.93 => ( ! [B_x,B_F] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 181.98/181.93 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 181.98/181.93 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 181.98/181.93 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 181.98/181.93 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 181.98/181.93 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Inf__fin_Oremove,axiom,
% 181.98/181.93 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.93 ( class_Lattices_Olattice(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 181.98/181.93 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.93 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Diff1__fold__graph,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup1E,axiom,
% 181.98/181.93 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 181.98/181.93 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 181.98/181.93 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup1CI,axiom,
% 181.98/181.93 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 181.98/181.93 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 181.98/181.93 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 181.98/181.93 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_UnE,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_UnCI,axiom,
% 181.98/181.93 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 181.98/181.93 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_less__zeroE,axiom,
% 181.98/181.93 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le0,axiom,
% 181.98/181.93 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_zero__less__Suc,axiom,
% 181.98/181.93 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_psubset__trans,axiom,
% 181.98/181.93 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Un__absorb,axiom,
% 181.98/181.93 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Un__commute,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Un__left__absorb,axiom,
% 181.98/181.93 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Un__left__commute,axiom,
% 181.98/181.93 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Un__assoc,axiom,
% 181.98/181.93 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_bex__Un,axiom,
% 181.98/181.93 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( ? [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.93 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.93 <=> ( ? [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.93 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.93 | ? [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 181.98/181.93 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_ball__Un,axiom,
% 181.98/181.93 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 181.98/181.93 ( ! [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.93 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.93 <=> ( ! [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.93 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.93 & ! [B_x] :
% 181.98/181.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 181.98/181.93 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_Sup__fin_Oidem,axiom,
% 181.98/181.93 ! [V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_zero__reorient,axiom,
% 181.98/181.93 ! [V_x_2,T_b] :
% 181.98/181.93 ( class_Groups_Ozero(T_b)
% 181.98/181.93 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 181.98/181.93 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup_Oidem,axiom,
% 181.98/181.93 ! [V_a,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__idem,axiom,
% 181.98/181.93 ! [V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__fun__def,axiom,
% 181.98/181.93 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 181.98/181.93 ( class_Lattices_Olattice(T_b)
% 181.98/181.93 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup_Ocommute,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__aci_I5_J,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__commute,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup_Oleft__idem,axiom,
% 181.98/181.93 ! [V_b,V_a,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__aci_I8_J,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__left__idem,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup_Oleft__commute,axiom,
% 181.98/181.93 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__aci_I7_J,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__left__commute,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup_Oassoc,axiom,
% 181.98/181.93 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__aci_I6_J,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__assoc,axiom,
% 181.98/181.93 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__apply,axiom,
% 181.98/181.93 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 181.98/181.93 ( class_Lattices_Olattice(T_b)
% 181.98/181.93 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup1I1,axiom,
% 181.98/181.93 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 181.98/181.93 ( hBOOL(hAPP(V_A_2,V_x_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup1I2,axiom,
% 181.98/181.93 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 181.98/181.93 ( hBOOL(hAPP(V_B_2,V_x_2))
% 181.98/181.93 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_bot__nat__def,axiom,
% 181.98/181.93 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__Inf__absorb,axiom,
% 181.98/181.93 ! [V_a_2,V_A_2,T_b] :
% 181.98/181.93 ( class_Lattices_Olattice(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__ord_I3_J,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__ge1,axiom,
% 181.98/181.93 ! [V_y,V_x,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_inf__sup__ord_I4_J,axiom,
% 181.98/181.93 ! [V_x,V_y,T_a] :
% 181.98/181.93 ( class_Lattices_Olattice(T_a)
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_sup__ge2,axiom,
% 181.98/181.93 ! [V_x,V_y,T_a] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 181.98/181.93
% 181.98/181.93 fof(fact_le__iff__sup,axiom,
% 181.98/181.93 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.93 ( class_Lattices_Osemilattice__sup(T_b)
% 181.98/181.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.93 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 181.98/181.93
% 181.98/181.94 fof(fact_le__sup__iff,axiom,
% 181.98/181.94 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 181.98/181.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 181.98/181.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__supI1,axiom,
% 181.98/181.94 ! [V_b,V_a,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__supI2,axiom,
% 181.98/181.94 ! [V_a,V_b,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__absorb2,axiom,
% 181.98/181.94 ! [V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__absorb1,axiom,
% 181.98/181.94 ! [V_x,V_y,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__supI,axiom,
% 181.98/181.94 ! [V_b,V_x,V_a,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__least,axiom,
% 181.98/181.94 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__mono,axiom,
% 181.98/181.94 ! [V_d,V_b,V_c,V_a,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__supE,axiom,
% 181.98/181.94 ! [V_x,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x))
% 181.98/181.94 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 181.98/181.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__supI1,axiom,
% 181.98/181.94 ! [V_b,V_a,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__supI2,axiom,
% 181.98/181.94 ! [V_a,V_b,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__bot__left,axiom,
% 181.98/181.94 ! [V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Obounded__lattice__bot(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__bot__right,axiom,
% 181.98/181.94 ! [V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Obounded__lattice__bot(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__eq__bot__iff,axiom,
% 181.98/181.94 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.94 ( class_Lattices_Obounded__lattice__bot(T_b)
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 181.98/181.94 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 181.98/181.94 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_inf__sup__absorb,axiom,
% 181.98/181.94 ! [V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Olattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__inf__absorb,axiom,
% 181.98/181.94 ! [V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Olattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_inf__sup__distrib1,axiom,
% 181.98/181.94 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Odistrib__lattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__inf__distrib1,axiom,
% 181.98/181.94 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Odistrib__lattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_inf__sup__distrib2,axiom,
% 181.98/181.94 ! [V_x,V_z,V_y,T_a] :
% 181.98/181.94 ( class_Lattices_Odistrib__lattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__inf__distrib2,axiom,
% 181.98/181.94 ! [V_x,V_z,V_y,T_a] :
% 181.98/181.94 ( class_Lattices_Odistrib__lattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 181.98/181.94 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 181.98/181.94 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__iff,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.98/181.94 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_UnI1,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_UnI2,axiom,
% 181.98/181.94 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__empty__left,axiom,
% 181.98/181.94 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__empty__right,axiom,
% 181.98/181.94 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__empty,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_finite__Un,axiom,
% 181.98/181.94 ! [V_G_2,V_F_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2)))
% 181.98/181.94 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_finite__UnI,axiom,
% 181.98/181.94 ! [V_G_2,V_F_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2))
% 181.98/181.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__insert__right,axiom,
% 181.98/181.94 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__insert__left,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__mono,axiom,
% 181.98/181.94 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__least,axiom,
% 181.98/181.94 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__absorb2,axiom,
% 181.98/181.94 ! [V_A_2,V_B_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__absorb1,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_subset__Un__eq,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.94 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__upper2,axiom,
% 181.98/181.94 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__upper1,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_image__Un,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Ounion__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Int__Un__distrib,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Int__distrib,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Int__Un__distrib2,axiom,
% 181.98/181.94 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Int__distrib2,axiom,
% 181.98/181.94 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Int__crazy,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Diff__cancel,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Diff__cancel2,axiom,
% 181.98/181.94 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Diff,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__0__left,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Omonoid__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__0,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_double__zero__sym,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 181.98/181.94 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__0__right,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Omonoid__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add_Ocomm__neutral,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__0__right,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ogroup__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__self,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ogroup__add(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_eq__iff__diff__eq__0,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Oab__group__add(T_b)
% 181.98/181.94 => ( V_a_2 = V_b_2
% 181.98/181.94 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_right__minus__eq,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Ogroup__add(T_b)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 <=> V_a_2 = V_b_2 ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__neq__one,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Ozero__neq__one(T_a)
% 181.98/181.94 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_one__neq__zero,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Ozero__neq__one(T_a)
% 181.98/181.94 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Zero__not__Suc,axiom,
% 181.98/181.94 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat_Osimps_I2_J,axiom,
% 181.98/181.94 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__not__Zero,axiom,
% 181.98/181.94 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat_Osimps_I3_J,axiom,
% 181.98/181.94 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Zero__neq__Suc,axiom,
% 181.98/181.94 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__neq__Zero,axiom,
% 181.98/181.94 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_not__less0,axiom,
% 181.98/181.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_neq0__conv,axiom,
% 181.98/181.94 ! [V_na_2] :
% 181.98/181.94 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__nat__zero__code,axiom,
% 181.98/181.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_gr__implies__not0,axiom,
% 181.98/181.94 ! [V_n,V_m] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.94 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_gr0I,axiom,
% 181.98/181.94 ! [V_n] :
% 181.98/181.94 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_plus__nat_Oadd__0,axiom,
% 181.98/181.94 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Nat_Oadd__0__right,axiom,
% 181.98/181.94 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__is__0,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__eq__self__zero,axiom,
% 181.98/181.94 ! [V_n,V_m] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 181.98/181.94 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 181.98/181.94 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__0__eq,axiom,
% 181.98/181.94 ! [V_na_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 181.98/181.94 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__0__eq__0,axiom,
% 181.98/181.94 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_minus__nat_Odiff__0,axiom,
% 181.98/181.94 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__self__eq__0,axiom,
% 181.98/181.94 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diffs0__imp__equal,axiom,
% 181.98/181.94 ! [V_n,V_m] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => V_m = V_n ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fun__left__comm__idem__sup,axiom,
% 181.98/181.94 ! [T_b] :
% 181.98/181.94 ( class_Lattices_Osemilattice__sup(T_b)
% 181.98/181.94 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 181.98/181.94 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_OemptyI,axiom,
% 181.98/181.94 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_empty__fold__graphE,axiom,
% 181.98/181.94 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 181.98/181.94 => V_x_2 = V_z_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph__imp__finite,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 181.98/181.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_sup__Un__eq,axiom,
% 181.98/181.94 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Osingleton,axiom,
% 181.98/181.94 ! [V_x_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__case__0,axiom,
% 181.98/181.94 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Ounion__inter,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_distrib__inf__le,axiom,
% 181.98/181.94 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Olattice(T_a)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_distrib__sup__le,axiom,
% 181.98/181.94 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Olattice(T_a)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_insert__is__Un,axiom,
% 181.98/181.94 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Int__assoc__eq,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Diff__subset__conv,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Diff__partition,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Diff__Int,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Diff__Un,axiom,
% 181.98/181.94 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Un__Diff__Int,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__nonpos__nonpos,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__increasing2,axiom,
% 181.98/181.94 ! [V_a,V_b,V_c,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__increasing,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__nonneg__eq__0__iff,axiom,
% 181.98/181.94 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__nonneg__nonneg,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__pos__pos,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__neg__neg,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_pos__add__strict,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__iff__diff__le__0,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Oordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__iff__diff__less__0,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Oordered__ab__group__add(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_not__one__le__zero,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__le__one,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_not__one__less__zero,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__less__one,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__Suc__eq__0__disj,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 181.98/181.94 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 | ? [B_j] :
% 181.98/181.94 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 181.98/181.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_less__Suc0,axiom,
% 181.98/181.94 ! [V_na_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 181.98/181.94 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_gr0__conv__Suc,axiom,
% 181.98/181.94 ! [V_na_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 181.98/181.94 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oin__idem,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__is__1,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.94 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.94 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.94 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_one__is__add,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)
% 181.98/181.94 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.94 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.94 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__gr__0,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)))
% 181.98/181.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 181.98/181.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card_Oempty,axiom,
% 181.98/181.94 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__infinite,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__less,axiom,
% 181.98/181.94 ! [V_m,V_n] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__less__diff,axiom,
% 181.98/181.94 ! [V_m_2,V_na_2] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__add__0,axiom,
% 181.98/181.94 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__is__0__eq,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__is__0__eq_H,axiom,
% 181.98/181.94 ! [V_n,V_m] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.94 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_One__nat__def,axiom,
% 181.98/181.94 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_OinsertI,axiom,
% 181.98/181.94 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 181.98/181.94 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 181.98/181.94 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.94 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__Suc,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__nonpos__neg,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__neg__nonpos,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__strict__increasing2,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__strict__increasing,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__nonneg__pos,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__pos__nonneg,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Osubset__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_zero__less__two,axiom,
% 181.98/181.94 ! [T_a] :
% 181.98/181.94 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__eq__0__iff,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oidem,axiom,
% 181.98/181.94 ! [V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Olattice(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__ge__0__finite,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 181.98/181.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__pred,axiom,
% 181.98/181.94 ! [V_n] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.94 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__Suc__less,axiom,
% 181.98/181.94 ! [V_i,V_n] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__diff__split,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,V_Pa_2] :
% 181.98/181.94 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 181.98/181.94 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 181.98/181.94 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 181.98/181.94 & ! [B_d] :
% 181.98/181.94 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 181.98/181.94 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__diff__split__asm,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,V_Pa_2] :
% 181.98/181.94 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 181.98/181.94 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 181.98/181.94 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 181.98/181.94 | ? [B_d] :
% 181.98/181.94 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 181.98/181.94 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.94 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oinsert,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 181.98/181.94 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__Un__Int,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card_Ounion__inter,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__one_Ounion__inter,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__one_Ounion__disjoint,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 181.98/181.94 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__gt__0__iff,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 181.98/181.94 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__pred_H,axiom,
% 181.98/181.94 ! [V_n] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.94 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__diff__1,axiom,
% 181.98/181.94 ! [V_n] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.94 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__eq__if,axiom,
% 181.98/181.94 ! [V_n,V_m] :
% 181.98/181.94 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 181.98/181.94 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_even__less__0__iff,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Rings_Olinordered__idom(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card_Ounion__inter__neutral,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.94 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.94 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold1Set_Ointros,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 181.98/181.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Oclosed,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__Suc__eq,axiom,
% 181.98/181.94 ! [V_k_2,V_A_2,T_b] :
% 181.98/181.94 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 181.98/181.94 <=> ? [B_b,B_B] :
% 181.98/181.94 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 181.98/181.94 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 181.98/181.94 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 181.98/181.94 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oremove,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 181.98/181.94 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 181.98/181.94 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 181.98/181.94 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 181.98/181.94 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 181.98/181.94 | ? [B_x,B_y] :
% 181.98/181.94 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 181.98/181.94 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 181.98/181.94 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_double__eq__0__iff,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Groups_Olinordered__ab__group__add(T_b)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__0__iff,axiom,
% 181.98/181.94 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.94 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 181.98/181.94 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 181.98/181.94 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold1Set__nonempty,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 181.98/181.94 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_empty__fold1SetE,axiom,
% 181.98/181.94 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Osingleton,axiom,
% 181.98/181.94 ! [V_x_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 181.98/181.94 ! [V_c,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 181.98/181.94 ! [V_d,V_c,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 181.98/181.94 ! [V_d,V_c,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 181.98/181.94 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oin__idem,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_inf__Sup__absorb,axiom,
% 181.98/181.94 ! [V_a_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold1Set__sing,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 181.98/181.94 <=> V_a_2 = V_b_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Osubset__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Ounion__idem,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__le__Sup,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oinsert,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 181.98/181.94 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 181.98/181.94 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Ounion__inter,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Oclosed,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__odd__less__0,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Rings_Olinordered__idom(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Inf__fin_Ohom__commute,axiom,
% 181.98/181.94 ! [V_N_2,V_h_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.94 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Sup__fin_Ohom__commute,axiom,
% 181.98/181.94 ! [V_N_2,V_h_2,T_b] :
% 181.98/181.94 ( class_Lattices_Olattice(T_b)
% 181.98/181.94 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.94 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_ex__least__nat__less,axiom,
% 181.98/181.94 ! [V_na_2,V_Pa_2] :
% 181.98/181.94 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 181.98/181.94 => ( hBOOL(hAPP(V_Pa_2,V_na_2))
% 181.98/181.94 => ? [B_k] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2))
% 181.98/181.94 & ! [B_i] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 181.98/181.94 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 181.98/181.94 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card_Oeq__fold__g,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_card__def,axiom,
% 181.98/181.94 ! [V_A_2,T_b] :
% 181.98/181.94 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 181.98/181.94 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_image__eq__fold__image,axiom,
% 181.98/181.94 ! [V_f_2,T_c,V_A_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_insert__fold1SetE,axiom,
% 181.98/181.94 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 181.98/181.94 => ~ ! [B_a,B_A] :
% 181.98/181.94 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__image__empty,axiom,
% 181.98/181.94 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 181.98/181.94 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__0,axiom,
% 181.98/181.94 ! [T_b] :
% 181.98/181.94 ( class_Rings_Oring__1(T_b)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__add,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Rings_Oring__1(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__diff,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Rings_Oring__1(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__1,axiom,
% 181.98/181.94 ! [T_b] :
% 181.98/181.94 ( class_Rings_Oring__1(T_b)
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__double__eq__0__iff,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Int_Oring__char__0(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Ints__odd__nonzero,axiom,
% 181.98/181.94 ! [V_a_2,T_b] :
% 181.98/181.94 ( class_Int_Oring__char__0(T_b)
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__monoid__big_OF__eq,axiom,
% 181.98/181.94 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 181.98/181.94 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 181.98/181.94 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold__Un__disjoint,axiom,
% 181.98/181.94 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.94 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.94 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_fold1Set_Oequations,axiom,
% 181.98/181.94 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 181.98/181.94 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 181.98/181.94 <=> ? [B_a,B_A] :
% 181.98/181.94 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 181.98/181.94 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 181.98/181.94 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 181.98/181.94 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 181.98/181.94 => ( ! [B_x] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.94 => hAPP(V_g_2,B_x) = V_z_2 )
% 181.98/181.94 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__diff1,axiom,
% 181.98/181.94 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 181.98/181.94 ( class_Groups_Oab__group__add(T_c)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 181.98/181.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__diff1__ring,axiom,
% 181.98/181.94 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 181.98/181.94 ( class_Rings_Oring(T_c)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__diff1_H,axiom,
% 181.98/181.94 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum_Oremove,axiom,
% 181.98/181.94 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__product,axiom,
% 181.98/181.94 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( class_Rings_Osemiring__0(T_b)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__left__distrib,axiom,
% 181.98/181.94 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.94 ( class_Rings_Osemiring__0(T_b)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__commute,axiom,
% 181.98/181.94 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_setsum__right__distrib,axiom,
% 181.98/181.94 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 181.98/181.94 ( class_Rings_Osemiring__0(T_b)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Groups_Oab__semigroup__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__left__idem,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__idem,axiom,
% 181.98/181.94 ! [V_x,T_a] :
% 181.98/181.94 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_times_Oidem,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 181.98/181.94 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 181.98/181.94 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 181.98/181.94 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 181.98/181.94 ! [V_rx,V_ly,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 181.98/181.94 ! [V_rx,V_ly,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 181.98/181.94 ! [V_ry,V_rx,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 181.98/181.94 ! [V_ry,V_rx,V_lx,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_divisors__zero,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ono__zero__divisors(T_a)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.94 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.94 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_no__zero__divisors,axiom,
% 181.98/181.94 ! [V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ono__zero__divisors(T_a)
% 181.98/181.94 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.94 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__eq__0__iff,axiom,
% 181.98/181.94 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Rings_Oring__no__zero__divisors(T_b)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.94 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__zero__right,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Omult__zero(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__zero__left,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Omult__zero(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 181.98/181.94 ! [V_z,V_y,V_x,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_crossproduct__noteq,axiom,
% 181.98/181.94 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.94 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 181.98/181.94 => ( ( V_a_2 != V_b_2
% 181.98/181.94 & V_c_2 != V_d_2 )
% 181.98/181.94 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 181.98/181.94 ! [V_b,V_m,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_crossproduct__eq,axiom,
% 181.98/181.94 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 181.98/181.94 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 181.98/181.94 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 181.98/181.94 <=> ( V_w_2 = V_x_2
% 181.98/181.94 | V_y_2 = V_z_2 ) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__class_Odistrib,axiom,
% 181.98/181.94 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_combine__common__factor,axiom,
% 181.98/181.94 ! [V_c,V_b,V_e,V_a,T_a] :
% 181.98/181.94 ( class_Rings_Osemiring(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult_Ocomm__neutral,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__1__right,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__1,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Ocomm__monoid__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__1__left,axiom,
% 181.98/181.94 ! [V_a,T_a] :
% 181.98/181.94 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__cancel2,axiom,
% 181.98/181.94 ! [V_na_2,V_k_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)
% 181.98/181.94 <=> ( V_m_2 = V_na_2
% 181.98/181.94 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__cancel1,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 181.98/181.94 <=> ( V_m_2 = V_na_2
% 181.98/181.94 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__is__0,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.94 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__0__right,axiom,
% 181.98/181.94 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__0,axiom,
% 181.98/181.94 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_Suc__mult__cancel1,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)
% 181.98/181.94 <=> V_m_2 = V_na_2 ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__mult__distrib,axiom,
% 181.98/181.94 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_add__mult__distrib2,axiom,
% 181.98/181.94 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__le__mono,axiom,
% 181.98/181.94 ! [V_l,V_k,V_j,V_i] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__le__mono2,axiom,
% 181.98/181.94 ! [V_k,V_j,V_i] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_mult__le__mono1,axiom,
% 181.98/181.94 ! [V_k,V_j,V_i] :
% 181.98/181.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__cube,axiom,
% 181.98/181.94 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_le__square,axiom,
% 181.98/181.94 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__mult__distrib,axiom,
% 181.98/181.94 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_diff__mult__distrib2,axiom,
% 181.98/181.94 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__mult__eq__1__iff,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.94 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.94 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.94 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__mult__1__right,axiom,
% 181.98/181.94 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 181.98/181.94
% 181.98/181.94 fof(fact_nat__1__eq__mult__iff,axiom,
% 181.98/181.94 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)
% 181.98/181.95 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.95 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__1,axiom,
% 181.98/181.95 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__0,axiom,
% 181.98/181.95 ! [V_A_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__addf,axiom,
% 181.98/181.95 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__subtractf,axiom,
% 181.98/181.95 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Oab__group__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fun__left__comm__idem,axiom,
% 181.98/181.95 ! [T_b] :
% 181.98/181.95 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 181.98/181.95 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__empty,axiom,
% 181.98/181.95 ! [V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Oempty,axiom,
% 181.98/181.95 ! [V_g_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Oinfinite,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__infinite,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__eq__0__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_F_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.95 <=> ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_split__mult__neg__le,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__cancel__semiring(T_a)
% 181.98/181.95 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_split__mult__pos__le,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_a)
% 181.98/181.95 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__mono,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__mono_H,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__left__mono__neg,axiom,
% 181.98/181.95 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__right__mono__neg,axiom,
% 181.98/181.95 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__mult__left__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__comm__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__left__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__right__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__nonpos__nonpos,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__nonpos__nonneg,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__cancel__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__nonneg__nonpos2,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__cancel__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__nonneg__nonpos,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__cancel__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__nonneg__nonneg,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Oordered__cancel__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__0__iff,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__le__mult__iff,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 181.98/181.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__le__square,axiom,
% 181.98/181.95 ! [V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_not__square__less__zero,axiom,
% 181.98/181.95 ! [V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring(T_a)
% 181.98/181.95 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel__right__disj,axiom,
% 181.98/181.95 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 181.98/181.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel__left__disj,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 181.98/181.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 181.98/181.95 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel__left__pos,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__pos__pos,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__pos__neg,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__pos__neg2,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__less__mult__pos,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__less__mult__pos2,axiom,
% 181.98/181.95 ! [V_a,V_b,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel__left__neg,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__neg__pos,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__neg__neg,axiom,
% 181.98/181.95 ! [V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__right__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__left__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__mult__strict__left__mono,axiom,
% 181.98/181.95 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__right__mono__neg,axiom,
% 181.98/181.95 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__left__mono__neg,axiom,
% 181.98/181.95 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_add__scale__eq__noteq,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 181.98/181.95 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 181.98/181.95 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.95 => ( ( V_a = V_b
% 181.98/181.95 & V_c != V_d )
% 181.98/181.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_sum__squares__eq__zero__iff,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.95 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.95 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_less__1__mult,axiom,
% 181.98/181.95 ! [V_n,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_eq__add__iff1,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oring(T_b)
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 181.98/181.95 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_eq__add__iff2,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oring(T_b)
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 181.98/181.95 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 181.98/181.95 ! [V_m,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 181.98/181.95 ! [V_a,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 181.98/181.95 ! [V_m,T_a] :
% 181.98/181.95 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__eq__1__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.95 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.95 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__0__less__mult__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__cancel2,axiom,
% 181.98/181.95 ! [V_na_2,V_k_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__mono1,axiom,
% 181.98/181.95 ! [V_k,V_j,V_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__mono2,axiom,
% 181.98/181.95 ! [V_k,V_j,V_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Suc__mult__less__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__Suc__right,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__Suc,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Suc__mult__le__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Odistrib,axiom,
% 181.98/181.95 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__eq__self__implies__10,axiom,
% 181.98/181.95 ! [V_n,V_m] :
% 181.98/181.95 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 181.98/181.95 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.95 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Ints__mult,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oring__1(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_card__eq__setsum,axiom,
% 181.98/181.95 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__eq__Suc0__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.95 <=> ? [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.95 & ! [B_xa] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 181.98/181.95 => ( B_x != B_xa
% 181.98/181.95 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__eq__1__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.95 <=> ? [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.95 & ! [B_xa] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 181.98/181.95 => ( B_x != B_xa
% 181.98/181.95 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__cancel__left__pos,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__cancel__left__neg,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__mono,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__strict__mono_H,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__le__imp__less,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__less__imp__less,axiom,
% 181.98/181.95 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__right__less__imp__less,axiom,
% 181.98/181.95 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__imp__less__right,axiom,
% 181.98/181.95 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__left__less__imp__less,axiom,
% 181.98/181.95 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__less__imp__less__left,axiom,
% 181.98/181.95 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__right__le__imp__le,axiom,
% 181.98/181.95 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__left__le__imp__le,axiom,
% 181.98/181.95 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_sum__squares__le__zero__iff,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.95 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.95 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_sum__squares__ge__zero,axiom,
% 181.98/181.95 ! [V_y,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_sum__squares__gt__zero__iff,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__ring__strict(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 181.98/181.95 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.95 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_not__sum__squares__lt__zero,axiom,
% 181.98/181.95 ! [V_y,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__ring(T_a)
% 181.98/181.95 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__left__le__one__le,axiom,
% 181.98/181.95 ! [V_y,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__right__le__one__le,axiom,
% 181.98/181.95 ! [V_y,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__delta,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__delta_H,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_le__add__iff1,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_le__add__iff2,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_less__add__iff1,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_less__add__iff2,axiom,
% 181.98/181.95 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Oordered__ring(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_one__less__mult,axiom,
% 181.98/181.95 ! [V_m,V_n] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_n__less__n__mult__m,axiom,
% 181.98/181.95 ! [V_m,V_n] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_n__less__m__mult__n,axiom,
% 181.98/181.95 ! [V_m,V_n] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_one__le__mult__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__cancel2,axiom,
% 181.98/181.95 ! [V_na_2,V_k_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_k_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__le__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__graph__insert__swap,axiom,
% 181.98/181.95 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__insert,axiom,
% 181.98/181.95 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Oinsert,axiom,
% 181.98/181.95 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__image__distrib,axiom,
% 181.98/181.95 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__Un__Int,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__diff,axiom,
% 181.98/181.95 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oab__group__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Oeq__fold,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_OF__eq,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__diff__nat,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__restrict__set,axiom,
% 181.98/181.95 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_convex__bound__le,axiom,
% 181.98/181.95 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__1(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__image__insert,axiom,
% 181.98/181.95 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_mult__eq__if,axiom,
% 181.98/181.95 ! [V_n,V_m] :
% 181.98/181.95 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.95 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Oinsert__remove,axiom,
% 181.98/181.95 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__Un__disjoint,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__Un,axiom,
% 181.98/181.95 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oab__group__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__diff1__nat,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 181.98/181.95 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__Un__nat,axiom,
% 181.98/181.95 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 181.98/181.95 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 181.98/181.95 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_convex__bound__lt,axiom,
% 181.98/181.95 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__graph__permute__diff,axiom,
% 181.98/181.95 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__image__Un__Int,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__less__add__iff1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__less__add__iff2,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__le__add__iff1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__diff__add__eq1,axiom,
% 181.98/181.95 ! [V_n,V_m,V_u,V_i,V_j] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__eq__add__iff1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 181.98/181.95 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_na_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__le__add__iff2,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__diff__add__eq2,axiom,
% 181.98/181.95 ! [V_n,V_m,V_u,V_j,V_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__eq__add__iff2,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_na_2)
% 181.98/181.95 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_na_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__assoc,axiom,
% 181.98/181.95 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__commute,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 181.98/181.95 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.95 | V_m_2 = V_na_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_left__add__mult__distrib,axiom,
% 181.98/181.95 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__less__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__eq__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)
% 181.98/181.95 <=> V_m_2 = V_na_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_nat__mult__le__cancel1,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__mono2,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.95 => ( ! [B_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__image__Un__one,axiom,
% 181.98/181.95 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.95 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.95 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__Un__zero,axiom,
% 181.98/181.95 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__mono3,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 181.98/181.95 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__nonneg__0,axiom,
% 181.98/181.95 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oordered__ab__group__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 181.98/181.95 => ( ! [B_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 181.98/181.95 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__nonneg__leq__bound,axiom,
% 181.98/181.95 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Oordered__ab__group__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 181.98/181.95 => ( ! [B_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__mono__zero__left,axiom,
% 181.98/181.95 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__mono__zero__right,axiom,
% 181.98/181.95 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__strict__mono,axiom,
% 181.98/181.95 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.95 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__Un,axiom,
% 181.98/181.95 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__insert,axiom,
% 181.98/181.95 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_b)
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.95 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_arith__series__nat,axiom,
% 181.98/181.95 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__SucD,axiom,
% 181.98/181.95 ! [V_na_2,V_A_2,V_f_2,T_b] :
% 181.98/181.95 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_na_2)
% 181.98/181.95 => ? [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oremove,axiom,
% 181.98/181.95 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold__image__1,axiom,
% 181.98/181.95 ! [V_f_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.95 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_finite__lessThan,axiom,
% 181.98/181.95 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_card__lessThan,axiom,
% 181.98/181.95 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__eq__iff,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.95 ( class_Orderings_Olinorder(T_b)
% 181.98/181.95 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 181.98/181.95 <=> V_x_2 = V_y_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__Suc,axiom,
% 181.98/181.95 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__0,axiom,
% 181.98/181.95 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__timesf,axiom,
% 181.98/181.95 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__1,axiom,
% 181.98/181.95 ! [V_A_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 181.98/181.95 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__iff,axiom,
% 181.98/181.95 ! [V_k_2,V_i_2,T_b] :
% 181.98/181.95 ( class_Orderings_Oord(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__subset__iff,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.95 ( class_Orderings_Olinorder(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__lessThan__Suc,axiom,
% 181.98/181.95 ! [V_na_2,V_f_2,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__zero__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 181.98/181.95 & class_Rings_Ono__zero__divisors(T_c) )
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 181.98/181.95 <=> ? [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__zero,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Rings_Ocomm__semiring__1(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ? [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oempty,axiom,
% 181.98/181.95 ! [V_g_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__empty,axiom,
% 181.98/181.95 ! [V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__infinite,axiom,
% 181.98/181.95 ! [V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oinfinite,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__eq__1__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_F_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 181.98/181.95 <=> ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_lessThan__strict__subset__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,T_b] :
% 181.98/181.95 ( class_Orderings_Olinorder(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Odistrib,axiom,
% 181.98/181.95 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__singleton__def,axiom,
% 181.98/181.95 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 181.98/181.95 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 181.98/181.95 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__singleton,axiom,
% 181.98/181.95 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__pos__nat__iff,axiom,
% 181.98/181.95 ! [V_f_2,V_S_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 181.98/181.95 <=> ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_single__Diff__lessThan,axiom,
% 181.98/181.95 ! [V_k_2,T_b] :
% 181.98/181.95 ( class_Orderings_Oorder(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_folding__one_Oeq__fold,axiom,
% 181.98/181.95 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.95 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__delta_H,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__delta,axiom,
% 181.98/181.95 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_finite__nat__set__iff__bounded,axiom,
% 181.98/181.95 ! [V_N_2] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 181.98/181.95 <=> ? [B_m] :
% 181.98/181.95 ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__def,axiom,
% 181.98/181.95 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 181.98/181.95 ! [V_N_2] :
% 181.98/181.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 181.98/181.95 <=> ? [B_m] :
% 181.98/181.95 ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__insert,axiom,
% 181.98/181.95 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oinsert,axiom,
% 181.98/181.95 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__Un__Int,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Ounion__inter,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Sup__fin_OF__eq,axiom,
% 181.98/181.95 ! [V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Olattice(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Inf__fin_OF__eq,axiom,
% 181.98/181.95 ! [V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Olattice(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oeq__fold,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_OF__eq,axiom,
% 181.98/181.95 ! [V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 181.98/181.95 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Oinsert__remove,axiom,
% 181.98/181.95 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__Un__disjoint,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Ounion__disjoint,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__belowI,axiom,
% 181.98/181.95 ! [V_a_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Osemilattice__inf(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_below__fold1__iff,axiom,
% 181.98/181.95 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Osemilattice__inf(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 181.98/181.95 <=> ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__insert__idem,axiom,
% 181.98/181.95 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__Un2,axiom,
% 181.98/181.95 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.95 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_semilattice__big_OF__eq,axiom,
% 181.98/181.95 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 181.98/181.95 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_arith__series__general,axiom,
% 181.98/181.95 ! [V_na_2,V_d_2,V_a_2,T_b] :
% 181.98/181.95 ( class_Rings_Ocomm__semiring__1(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_fold1__in,axiom,
% 181.98/181.95 ! [V_A_2,T_b] :
% 181.98/181.95 ( class_Groups_Oab__semigroup__mult(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.95 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod__Un__one,axiom,
% 181.98/181.95 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 181.98/181.95 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 181.98/181.95 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.95 => ( ! [B_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.95 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OatMost__iff,axiom,
% 181.98/181.95 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OatLeast__iff,axiom,
% 181.98/181.95 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OlessThan__iff,axiom,
% 181.98/181.95 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__setprod,axiom,
% 181.98/181.95 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__eq__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,T_b] :
% 181.98/181.95 ( class_Nat_Osemiring__char__0(T_b)
% 181.98/181.95 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)
% 181.98/181.95 <=> V_m_2 = V_na_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__le__0__conv,axiom,
% 181.98/181.95 ! [V_na_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.95 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__eq__0__conv,axiom,
% 181.98/181.95 ! [V_na_2] :
% 181.98/181.95 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.95 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__0,axiom,
% 181.98/181.95 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__Suc,axiom,
% 181.98/181.95 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__iff__Suc__zadd,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 181.98/181.95 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__int,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__int__left,axiom,
% 181.98/181.95 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__int,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zle__int,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__mult,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zmult__int,axiom,
% 181.98/181.95 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__1,axiom,
% 181.98/181.95 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__setprod,axiom,
% 181.98/181.95 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 181.98/181.95 & class_Rings_Osemiring__1(T_b) )
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__setsum,axiom,
% 181.98/181.95 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__Suc0__eq__1,axiom,
% 181.98/181.95 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zmult__zless__mono2__lemma,axiom,
% 181.98/181.95 ! [V_k,V_j,V_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__less__int__conv,axiom,
% 181.98/181.95 ! [V_na_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__0__le__iff,axiom,
% 181.98/181.95 ! [V_n,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__le__imp__of__nat,axiom,
% 181.98/181.95 ! [V_m,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zdiff__int,axiom,
% 181.98/181.95 ! [V_m,V_n] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__less__0__iff,axiom,
% 181.98/181.95 ! [V_m,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__0,axiom,
% 181.98/181.95 ! [T_a] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__less__imp__less,axiom,
% 181.98/181.95 ! [V_n,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_less__imp__of__nat__less,axiom,
% 181.98/181.95 ! [V_n,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__less__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__le__iff,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__add,axiom,
% 181.98/181.95 ! [V_n,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__mult,axiom,
% 181.98/181.95 ! [V_n,V_m,T_a] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__1,axiom,
% 181.98/181.95 ! [T_a] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_Ints__of__nat,axiom,
% 181.98/181.95 ! [V_na_2,T_b] :
% 181.98/181.95 ( class_Rings_Oring__1(T_b)
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__setsum,axiom,
% 181.98/181.95 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_b)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__Suc,axiom,
% 181.98/181.95 ! [V_m,T_a] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__diff,axiom,
% 181.98/181.95 ! [V_m,V_n,T_a] :
% 181.98/181.95 ( class_Rings_Oring__1(T_a)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__constant,axiom,
% 181.98/181.95 ! [V_A_2,V_y_2,T_c,T_b] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_b)
% 181.98/181.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_of__nat__0__less__iff,axiom,
% 181.98/181.95 ! [V_na_2,T_b] :
% 181.98/181.95 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 181.98/181.95 ! [V_na_2,T_b] :
% 181.98/181.95 ( class_Rings_Osemiring__1(T_b)
% 181.98/181.95 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_na_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zdiff__int__split,axiom,
% 181.98/181.95 ! [V_y_2,V_x_2,V_Pa_2] :
% 181.98/181.95 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 181.98/181.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 181.98/181.95 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 181.98/181.95 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 181.98/181.95 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_setsum__bounded,axiom,
% 181.98/181.95 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.95 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 181.98/181.95 & class_Rings_Osemiring__1(T_c) )
% 181.98/181.95 => ( ! [B_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 181.98/181.95 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 181.98/181.95 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 181.98/181.95 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 181.98/181.95 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 181.98/181.95 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zle__iff__zadd,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 181.98/181.95 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__int__eq,axiom,
% 181.98/181.95 ! [V_na_2,V_m_2] :
% 181.98/181.95 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)
% 181.98/181.95 <=> V_m_2 = V_na_2 ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zero__zle__int,axiom,
% 181.98/181.95 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__less__0__conv,axiom,
% 181.98/181.95 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__zless__mono,axiom,
% 181.98/181.95 ! [V_z,V_z_H,V_w,V_w_H] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 181.98/181.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__imp__add1__zle,axiom,
% 181.98/181.95 ! [V_z,V_w] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_le__imp__0__less,axiom,
% 181.98/181.95 ! [V_z] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_add1__zle__eq,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zle__diff1__eq,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zle__add1__eq__le,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__le,axiom,
% 181.98/181.95 ! [V_w_2,V_z_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 181.98/181.95 & V_z_2 != V_w_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__one__le__iff__zero__less,axiom,
% 181.98/181.95 ! [V_z_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_odd__nonzero,axiom,
% 181.98/181.95 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_int__0__less__1,axiom,
% 181.98/181.95 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__add1__eq,axiom,
% 181.98/181.95 ! [V_z_2,V_w_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 181.98/181.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 181.98/181.95 | V_w_2 = V_z_2 ) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_odd__less__0,axiom,
% 181.98/181.95 ! [V_z_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__strict__right__mono,axiom,
% 181.98/181.95 ! [V_k,V_j,V_i] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 181.98/181.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zless__linear,axiom,
% 181.98/181.95 ! [V_y,V_x] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 181.98/181.95 | V_x = V_y
% 181.98/181.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__0__right,axiom,
% 181.98/181.95 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 181.98/181.95
% 181.98/181.95 fof(fact_zadd__0,axiom,
% 181.98/181.95 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 181.98/181.95
% 181.98/181.95 fof(fact_less__bin__lemma,axiom,
% 181.98/181.95 ! [V_l_2,V_k_2] :
% 181.98/181.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 181.98/181.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 181.98/181.95
% 181.98/181.96 fof(fact_int__0__neq__1,axiom,
% 181.98/181.96 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zle__refl,axiom,
% 181.98/181.96 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zle__linear,axiom,
% 181.98/181.96 ! [V_w,V_z] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 181.98/181.96 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zle__trans,axiom,
% 181.98/181.96 ! [V_k,V_j,V_i] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zle__antisym,axiom,
% 181.98/181.96 ! [V_w,V_z] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 181.98/181.96 => V_z = V_w ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__commute,axiom,
% 181.98/181.96 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__left__commute,axiom,
% 181.98/181.96 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__assoc,axiom,
% 181.98/181.96 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__left__mono,axiom,
% 181.98/181.96 ! [V_k,V_j,V_i] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__zmult__eq__1__iff,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 181.98/181.96 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 181.98/181.96 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 181.98/181.96 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zmult__zless__mono2,axiom,
% 181.98/181.96 ! [V_k,V_j,V_i] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zmult__1,axiom,
% 181.98/181.96 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zmult__1__right,axiom,
% 181.98/181.96 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiff__zmult__distrib,axiom,
% 181.98/181.96 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiff__zmult__distrib2,axiom,
% 181.98/181.96 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zmult__commute,axiom,
% 181.98/181.96 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zmult__assoc,axiom,
% 181.98/181.96 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__zmult__distrib2,axiom,
% 181.98/181.96 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zadd__zmult__distrib,axiom,
% 181.98/181.96 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 181.98/181.96 ! [V_i_2,V_inc_2,T_b] :
% 181.98/181.96 ( class_Rings_Osemiring__1(T_b)
% 181.98/181.96 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 181.98/181.96 ! [V_i_2,V_na_2,V_inc_2,T_b] :
% 181.98/181.96 ( class_Rings_Osemiring__1(T_b)
% 181.98/181.96 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_na_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_na_2,hAPP(V_inc_2,V_i_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_self__quotient__aux1,axiom,
% 181.98/181.96 ! [V_q,V_r,V_a] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.96 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_self__quotient__aux2,axiom,
% 181.98/181.96 ! [V_q,V_r,V_a] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.96 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 181.98/181.96 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 181.98/181.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_unique__quotient__lemma__neg,axiom,
% 181.98/181.96 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiv__mono2__lemma,axiom,
% 181.98/181.96 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 181.98/181.96 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_unique__quotient__lemma,axiom,
% 181.98/181.96 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_q__neg__lemma,axiom,
% 181.98/181.96 ! [V_r_H,V_q_H,V_b_H] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_q__pos__lemma,axiom,
% 181.98/181.96 ! [V_r_H,V_q_H,V_b_H] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 181.98/181.96 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 181.98/181.96 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 181.98/181.96 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 181.98/181.96 ! [V_y,V_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 181.98/181.96 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 181.98/181.96 ! [V_B_2,V_A_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2] :
% 181.98/181.96 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 181.98/181.96 <=> V_x_2 = V_y_2 ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 181.98/181.96 ! [V_B_2,V_A_2] :
% 181.98/181.96 ( V_A_2 = V_B_2
% 181.98/181.96 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 181.98/181.96 ! [V_A_2,V_x_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 181.98/181.96 ! [V_B_2,V_A_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 181.98/181.96 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 181.98/181.96 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 181.98/181.96 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 181.98/181.96 ! [V_A_2] :
% 181.98/181.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 181.98/181.96 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 181.98/181.96 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 181.98/181.96 ! [V_y,V_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 181.98/181.96 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 181.98/181.96 ! [V_Pa_2] :
% 181.98/181.96 ( ? [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.96 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 181.98/181.96 ! [V_Pa_2] :
% 181.98/181.96 ( ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 181.98/181.96 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ord_OgreaterThan__iff,axiom,
% 181.98/181.96 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setprod__gen__delta,axiom,
% 181.98/181.96 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_tsub__def,axiom,
% 181.98/181.96 ! [V_x,V_y] :
% 181.98/181.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 181.98/181.96 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 181.98/181.96 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 181.98/181.96 ! [V_x_2,V_y_2,V_c_2] :
% 181.98/181.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 181.98/181.96 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 181.98/181.96 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 181.98/181.96 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setprod__diff1,axiom,
% 181.98/181.96 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.96 ( class_Fields_Ofield(T_c)
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.96 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_sum__diff__distrib,axiom,
% 181.98/181.96 ! [V_na_2,V_Pa_2,V_Q_2] :
% 181.98/181.96 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_Pa_2,B_x)))
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_Pa_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__natinterval__difff,axiom,
% 181.98/181.96 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Oab__group__add(T_b)
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__atLeastLessThan,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__atLeastAtMost,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 181.98/181.96 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zpower__int,axiom,
% 181.98/181.96 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_int__power,axiom,
% 181.98/181.96 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__zero,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__zero__left,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_add__divide__distrib,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_times__divide__eq__right,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_diff__divide__distrib,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 181.98/181.96 ! [V_q,V_y,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__1,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 181.98/181.96 ! [V_q,V_p,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I21_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zpower__zpower,axiom,
% 181.98/181.96 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__int_I15_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 181.98/181.96 ! [V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_geometric__sum,axiom,
% 181.98/181.96 ! [V_na_2,V_x_2,T_b] :
% 181.98/181.96 ( class_Fields_Ofield(T_b)
% 181.98/181.96 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_na_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 181.98/181.96 => V_b_2 = V_d_2 ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 181.98/181.96 => V_a_2 = V_c_2 ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__eq__iff,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 181.98/181.96 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 181.98/181.96 <=> ( V_a_2 = V_c_2
% 181.98/181.96 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__divide__distrib,axiom,
% 181.98/181.96 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.96 ( class_Fields_Ofield(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_eq__divide__imp,axiom,
% 181.98/181.96 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 181.98/181.96 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__eq__imp,axiom,
% 181.98/181.96 ! [V_a,V_b,V_c,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nonzero__divide__eq__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_b)
% 181.98/181.96 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 181.98/181.96 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nonzero__eq__divide__eq,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_b)
% 181.98/181.96 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 181.98/181.96 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_right__inverse__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_b)
% 181.98/181.96 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 181.98/181.96 <=> V_a_2 = V_b_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__self,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring(T_a)
% 181.98/181.96 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__self__if,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 181.98/181.96 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 181.98/181.96 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 181.98/181.96 ! [V_q,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 181.98/181.96 ! [V_q,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 181.98/181.96 ! [V_q,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 181.98/181.96 ! [V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 181.98/181.96 ! [V_q,V_p,V_x,T_a] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__add__Un,axiom,
% 181.98/181.96 ! [V_k_2,V_j_2,V_i_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 181.98/181.96 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 181.98/181.96 ! [V_n,V_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zpower__zadd__distrib,axiom,
% 181.98/181.96 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan0,axiom,
% 181.98/181.96 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Ints__power,axiom,
% 181.98/181.96 ! [V_na_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Rings_Oring__1(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeast0LessThan,axiom,
% 181.98/181.96 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I6_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_subset__card__intvl__is__intvl,axiom,
% 181.98/181.96 ! [V_k_2,V_A_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 181.98/181.96 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_card__atLeastLessThan,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setprod__dividef,axiom,
% 181.98/181.96 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_c)
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastatMost__empty__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.96 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastatMost__empty__iff2,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 181.98/181.96 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastatMost__empty,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastatMost__subset__iff,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 181.98/181.96 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__Suc__atLeastLessThan,axiom,
% 181.98/181.96 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__empty,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 181.98/181.96 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__empty__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.96 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 181.98/181.96 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastAtMost__singleton_H,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( V_a_2 = V_b_2
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 181.98/181.96 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 181.98/181.96 <=> ( V_a_2 = V_b_2
% 181.98/181.96 & V_b_2 = V_c_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastAtMost__singleton,axiom,
% 181.98/181.96 ! [V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__subset__iff,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I17_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 181.98/181.96 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__diff,axiom,
% 181.98/181.96 ! [V_m_2,V_na_2,V_i_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2))
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_na_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_na_2),V_m_2) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__int_I11_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__Suc__atLeastAtMost,axiom,
% 181.98/181.96 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 181.98/181.96 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__add__atLeastLessThan,axiom,
% 181.98/181.96 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__add__atLeastAtMost,axiom,
% 181.98/181.96 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__add__nat__ivl,axiom,
% 181.98/181.96 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__diff__nat__ivl,axiom,
% 181.98/181.96 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Oab__group__add(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2))
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_na_2),V_p_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_card__atLeastAtMost,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastAtMostSuc__conv,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)))
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThan__singleton,axiom,
% 181.98/181.96 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setprod__constant,axiom,
% 181.98/181.96 ! [V_y_2,V_A_2,T_b,T_c] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 181.98/181.96 ! [V_k_2,V_f_2] :
% 181.98/181.96 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastatMost__psubset__iff,axiom,
% 181.98/181.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 181.98/181.96 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 181.98/181.96 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 181.98/181.96 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__int_I4_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I8_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__int_I2_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 181.98/181.96 ! [V_k_2,V_f_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__head__upt__Suc,axiom,
% 181.98/181.96 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_na_2))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__eq__if,axiom,
% 181.98/181.96 ! [V_p,V_m] :
% 181.98/181.96 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 181.98/181.96 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__head__Suc,axiom,
% 181.98/181.96 ! [V_f_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_na_2))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThanSuc,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2] :
% 181.98/181.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_na_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.96 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__op__ivl__Suc,axiom,
% 181.98/181.96 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2))),hAPP(V_f_2,V_na_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 181.98/181.96 ! [V_y,V_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__cl__ivl__Suc,axiom,
% 181.98/181.96 ! [V_f_2,V_m_2,V_na_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_tsub__eq,axiom,
% 181.98/181.96 ! [V_x,V_y] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 181.98/181.96 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 181.98/181.96 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setsum__ub__add__nat,axiom,
% 181.98/181.96 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_p_2)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_gauss__sum,axiom,
% 181.98/181.96 ! [V_na_2,T_b] :
% 181.98/181.96 ( class_Rings_Ocomm__semiring__1(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__strict__mono,axiom,
% 181.98/181.96 ! [V_n,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__diff,axiom,
% 181.98/181.96 ! [V_m,V_n,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_one__less__power,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__le__imp__le__exp,axiom,
% 181.98/181.96 ! [V_n,V_m,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__increasing__iff,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__decreasing,axiom,
% 181.98/181.96 ! [V_a,V_N,V_n,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__strict__decreasing,axiom,
% 181.98/181.96 ! [V_a,V_N,V_n,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__atLeastAtMost__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__atLeastLessThan__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 181.98/181.96 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__add__int__atLeastLessThan,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_simp__from__to,axiom,
% 181.98/181.96 ! [V_i_2,V_j_2] :
% 181.98/181.96 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 181.98/181.96 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_field__power__not__zero,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 181.98/181.96 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 181.98/181.96 ! [V_m_2,V_x_2] :
% 181.98/181.96 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 181.98/181.96 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__Suc__0,axiom,
% 181.98/181.96 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__power__less__imp__less,axiom,
% 181.98/181.96 ! [V_n,V_m,V_i] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__zero__less__power__iff,axiom,
% 181.98/181.96 ! [V_na_2,V_x_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_na_2)))
% 181.98/181.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 181.98/181.96 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__commutes,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__mult__distrib,axiom,
% 181.98/181.96 ! [V_n,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Groups_Ocomm__monoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__one,axiom,
% 181.98/181.96 ! [V_n,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_of__nat__power,axiom,
% 181.98/181.96 ! [V_n,V_m,T_a] :
% 181.98/181.96 ( class_Rings_Osemiring__1(T_a)
% 181.98/181.96 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__mult,axiom,
% 181.98/181.96 ! [V_n,V_m,V_a,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__divide,axiom,
% 181.98/181.96 ! [V_n,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__one__right,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__mono,axiom,
% 181.98/181.96 ! [V_n,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zero__le__power,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zero__less__power,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__eq__0__iff,axiom,
% 181.98/181.96 ! [V_na_2,V_a_2,T_b] :
% 181.98/181.96 ( ( class_Power_Opower(T_b)
% 181.98/181.96 & class_Rings_Omult__zero(T_b)
% 181.98/181.96 & class_Rings_Ono__zero__divisors(T_b)
% 181.98/181.96 & class_Rings_Ozero__neq__one(T_b) )
% 181.98/181.96 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_one__le__power,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__0__Suc,axiom,
% 181.98/181.96 ! [V_n,T_a] :
% 181.98/181.96 ( ( class_Power_Opower(T_a)
% 181.98/181.96 & class_Rings_Osemiring__0(T_a) )
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__inject__exp,axiom,
% 181.98/181.96 ! [V_na_2,V_m_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 181.98/181.96 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2)
% 181.98/181.96 <=> V_m_2 = V_na_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__Suc2,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__Suc,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Power_Opower(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__one__le__power,axiom,
% 181.98/181.96 ! [V_n,V_i] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__0,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Power_Opower(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__add,axiom,
% 181.98/181.96 ! [V_n,V_m,V_a,T_a] :
% 181.98/181.96 ( class_Groups_Omonoid__mult(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nonzero__power__divide,axiom,
% 181.98/181.96 ! [V_n,V_a,V_b,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__one__over,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__less__imp__less__base,axiom,
% 181.98/181.96 ! [V_b,V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__le__imp__le__base,axiom,
% 181.98/181.96 ! [V_b,V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__inject__base,axiom,
% 181.98/181.96 ! [V_b,V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.96 => V_a = V_b ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__gt1__lemma,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__less__power__Suc,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__0__left,axiom,
% 181.98/181.96 ! [V_n,T_a] :
% 181.98/181.96 ( ( class_Power_Opower(T_a)
% 181.98/181.96 & class_Rings_Osemiring__0(T_a) )
% 181.98/181.96 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 181.98/181.96 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.96 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__gt1,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__strict__increasing__iff,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__less__imp__less__exp,axiom,
% 181.98/181.96 ! [V_n,V_m,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__strict__increasing,axiom,
% 181.98/181.96 ! [V_a,V_N,V_n,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__increasing,axiom,
% 181.98/181.96 ! [V_a,V_N,V_n,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__Suc__less,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__eq__imp__eq__base,axiom,
% 181.98/181.96 ! [V_b,V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.96 => V_a = V_b ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__Suc__less__one,axiom,
% 181.98/181.96 ! [V_n,V_a,T_a] :
% 181.98/181.96 ( class_Rings_Olinordered__semidom(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__left__mono__neg,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__left__mono,axiom,
% 181.98/181.96 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_neg__divide__le__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_neg__le__divide__eq,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__imp__le__div__pos,axiom,
% 181.98/181.96 ! [V_x,V_z,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__imp__div__pos__le,axiom,
% 181.98/181.96 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__divide__le__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_times__divide__times__eq,axiom,
% 181.98/181.96 ! [V_w,V_z,V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zero__le__divide__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__le__0__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__right__mono,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__right__mono__neg,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zero__less__divide__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__less__0__iff,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 181.98/181.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__pos__pos,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__pos__neg,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__neg__pos,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__neg__neg,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__strict__right__mono,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__strict__right__mono__neg,axiom,
% 181.98/181.96 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_eq__divide__eq,axiom,
% 181.98/181.96 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_b)
% 181.98/181.96 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 181.98/181.96 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 181.98/181.96 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__eq__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_b)
% 181.98/181.96 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 181.98/181.96 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 181.98/181.96 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__divide__mult__cancel__right,axiom,
% 181.98/181.96 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__divide__mult__cancel__left,axiom,
% 181.98/181.96 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_frac__eq__eq,axiom,
% 181.98/181.96 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 181.98/181.96 ( class_Fields_Ofield(T_b)
% 181.98/181.96 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.96 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 181.98/181.96 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__nonneg__pos,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__nonneg__neg,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_frac__less2,axiom,
% 181.98/181.96 ! [V_z,V_w,V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_frac__less,axiom,
% 181.98/181.96 ! [V_z,V_w,V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_frac__le,axiom,
% 181.98/181.96 ! [V_z,V_w,V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__nonpos__pos,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__nonpos__neg,axiom,
% 181.98/181.96 ! [V_y,V_x,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__strict__left__mono__neg,axiom,
% 181.98/181.96 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__strict__left__mono,axiom,
% 181.98/181.96 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_neg__divide__less__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_neg__less__divide__eq,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__imp__less__div__pos,axiom,
% 181.98/181.96 ! [V_x,V_z,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_mult__imp__div__pos__less,axiom,
% 181.98/181.96 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__divide__less__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__less__divide__eq,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__less__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_less__divide__eq,axiom,
% 181.98/181.96 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_add__frac__eq,axiom,
% 181.98/181.96 ! [V_w,V_x,V_z,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__add__eq__iff,axiom,
% 181.98/181.96 ! [V_y,V_x,V_z,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_add__frac__num,axiom,
% 181.98/181.96 ! [V_z,V_x,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_add__divide__eq__iff,axiom,
% 181.98/181.96 ! [V_y,V_x,V_z,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_add__num__frac,axiom,
% 181.98/181.96 ! [V_x,V_z,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Ofield__inverse__zero(T_a)
% 181.98/181.96 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_diff__divide__eq__iff,axiom,
% 181.98/181.96 ! [V_y,V_x,V_z,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__diff__eq__iff,axiom,
% 181.98/181.96 ! [V_y,V_x,V_z,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_diff__frac__eq,axiom,
% 181.98/181.96 ! [V_w,V_x,V_z,V_y,T_a] :
% 181.98/181.96 ( class_Fields_Ofield(T_a)
% 181.98/181.96 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_gt__half__sum,axiom,
% 181.98/181.96 ! [V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_less__half__sum,axiom,
% 181.98/181.96 ! [V_b,V_a,T_a] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_le__divide__eq,axiom,
% 181.98/181.96 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_divide__le__eq,axiom,
% 181.98/181.96 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 181.98/181.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 181.98/181.96 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__le__divide__eq,axiom,
% 181.98/181.96 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 181.98/181.96 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ex__nat__less,axiom,
% 181.98/181.96 ! [V_Pa_2,V_na_2] :
% 181.98/181.96 ( ? [B_m] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 181.98/181.96 <=> ? [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_all__nat__less,axiom,
% 181.98/181.96 ! [V_Pa_2,V_na_2] :
% 181.98/181.96 ( ! [B_m] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 181.98/181.96 <=> ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ex__nat__less__eq,axiom,
% 181.98/181.96 ! [V_Pa_2,V_na_2] :
% 181.98/181.96 ( ? [B_m] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 181.98/181.96 <=> ? [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_all__nat__less__eq,axiom,
% 181.98/181.96 ! [V_Pa_2,V_na_2] :
% 181.98/181.96 ( ! [B_m] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 181.98/181.96 <=> ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I6_J,axiom,
% 181.98/181.96 ! [V_A_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I8_J,axiom,
% 181.98/181.96 ! [V_B_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I3_J,axiom,
% 181.98/181.96 ! [V_B_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 181.98/181.96 => ( ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 181.98/181.96 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I4_J,axiom,
% 181.98/181.96 ! [V_A_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( B_x != V_t_2
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I4_J,axiom,
% 181.98/181.96 ! [V_B_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( B_x != V_t_2
% 181.98/181.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I7_J,axiom,
% 181.98/181.96 ! [V_B_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I5_J,axiom,
% 181.98/181.96 ! [V_A_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I3_J,axiom,
% 181.98/181.96 ! [V_A_2,V_t_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 181.98/181.96 => ( ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 181.98/181.96 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 181.98/181.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I6_J,axiom,
% 181.98/181.96 ! [V_t_2,V_B_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I8_J,axiom,
% 181.98/181.96 ! [V_t_2,V_A_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_setprod__Un,axiom,
% 181.98/181.96 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 181.98/181.96 ( class_Fields_Ofield(T_c)
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.96 => ( ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 181.98/181.96 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 181.98/181.96 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power__power__power,axiom,
% 181.98/181.96 ! [T_b] :
% 181.98/181.96 ( class_Power_Opower(T_b)
% 181.98/181.96 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_periodic__finite__ex,axiom,
% 181.98/181.96 ! [V_Pa_2,V_d_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 181.98/181.96 => ( ! [B_x,B_k] :
% 181.98/181.96 ( hBOOL(hAPP(V_Pa_2,B_x))
% 181.98/181.96 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 181.98/181.96 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 181.98/181.96 <=> ? [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_aset_I7_J,axiom,
% 181.98/181.96 ! [V_t_2,V_A_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_bset_I5_J,axiom,
% 181.98/181.96 ! [V_t_2,V_B_2,V_D_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( ! [B_xa] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 181.98/181.96 => ! [B_xb] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 181.98/181.96 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power_Opower_Opower__0,axiom,
% 181.98/181.96 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 181.98/181.96
% 181.98/181.96 fof(fact_power_Opower_Opower__Suc,axiom,
% 181.98/181.96 ! [V_na_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_na_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I18_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I3_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_int__power__div__base,axiom,
% 181.98/181.96 ! [V_k,V_m] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 181.98/181.96 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I5_J,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 181.98/181.96 ! [V_u_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 181.98/181.96 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_decr__mult__lemma,axiom,
% 181.98/181.96 ! [V_k_2,V_Pa_2,V_d_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 181.98/181.96 => ( ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(V_Pa_2,B_x))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.96 => ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(V_Pa_2,B_x))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__greaterThanAtMost,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__greaterThanLessThan,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__greaterThanAtMost__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_finite__greaterThanLessThan__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiv__zero,axiom,
% 181.98/181.96 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__int,axiom,
% 181.98/181.96 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 181.98/181.96
% 181.98/181.96 fof(fact_div__0,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_div__by__0,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_div__by__1,axiom,
% 181.98/181.96 ! [V_a,T_a] :
% 181.98/181.96 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.96 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_card__greaterThanAtMost__int,axiom,
% 181.98/181.96 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__int_I10_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Oorder(T_b)
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ivl__disj__un_I16_J,axiom,
% 181.98/181.96 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.96 ( class_Orderings_Olinorder(T_b)
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 181.98/181.96 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_nat__0,axiom,
% 181.98/181.96 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 181.98/181.96 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 181.98/181.96 ! [V_y,V_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 181.98/181.96 ! [V_a_2,V_b_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_div__neg__pos__less0,axiom,
% 181.98/181.96 ! [V_b,V_a] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_eq__nat__nat__iff,axiom,
% 181.98/181.96 ! [V_z_H_2,V_z_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 181.98/181.96 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 181.98/181.96 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_ex__nat,axiom,
% 181.98/181.96 ! [V_Pa_2] :
% 181.98/181.96 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 181.98/181.96 <=> ? [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.96 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_all__nat,axiom,
% 181.98/181.96 ! [V_Pa_2] :
% 181.98/181.96 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 181.98/181.96 <=> ! [B_x] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.96 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 181.98/181.96 ! [V_y_2,V_x_2] :
% 181.98/181.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 181.98/181.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 181.98/181.96 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 181.98/181.96 <=> V_x_2 = V_y_2 ) ) ) ).
% 181.98/181.96
% 181.98/181.96 fof(fact_zdiv__self,axiom,
% 181.98/181.96 ! [V_a] :
% 181.98/181.97 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 181.98/181.97 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__mult1__if,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 181.98/181.97 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self2__is__id,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self1__is__id,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__mult2,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__mult1,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__self,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 181.98/181.97 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__greaterThanLessThan__int,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I4_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I19_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThanAtMost__empty,axiom,
% 181.98/181.97 ! [V_k_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 181.98/181.97 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 181.98/181.97 ! [V_l_2,V_k_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.97 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 181.98/181.97 ! [V_l_2,V_k_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 181.98/181.97 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I20_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 181.98/181.97 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThanLessThan__empty,axiom,
% 181.98/181.97 ! [V_k_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 181.98/181.97 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I14_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__le__0,axiom,
% 181.98/181.97 ! [V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__0__iff,axiom,
% 181.98/181.97 ! [V_i_2] :
% 181.98/181.97 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__eq__0__iff,axiom,
% 181.98/181.97 ! [V_k_2,V_i_2] :
% 181.98/181.97 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 181.98/181.97 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 181.98/181.97 ! [V_a_2,V_b_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 181.98/181.97 ! [V_i_2,V_k_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 181.98/181.97 ! [V_b_2,V_a_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 181.98/181.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__mono2,axiom,
% 181.98/181.97 ! [V_b,V_b_H,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__nonneg__neg__le0,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__pos__pos__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 181.98/181.97 ! [V_a_2,V_b_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__nonpos__pos__le0,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__mono2__neg,axiom,
% 181.98/181.97 ! [V_b,V_b_H,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__neg__neg__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__mono1,axiom,
% 181.98/181.97 ! [V_b,V_a_H,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__mono1__neg,axiom,
% 181.98/181.97 ! [V_b,V_a_H,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__mono__iff,axiom,
% 181.98/181.97 ! [V_w_2,V_z_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zless__nat__conj,axiom,
% 181.98/181.97 ! [V_z_2,V_w_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__1,axiom,
% 181.98/181.97 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_int__div__less__self,axiom,
% 181.98/181.97 ! [V_k,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__zmult2__eq,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__0__le,axiom,
% 181.98/181.97 ! [V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_int__eq__iff,axiom,
% 181.98/181.97 ! [V_z_2,V_m_2] :
% 181.98/181.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 181.98/181.97 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_int__nat__eq,axiom,
% 181.98/181.97 ! [V_z] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zless__nat__eq__int__zless,axiom,
% 181.98/181.97 ! [V_z_2,V_m_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__greaterThanAtMost,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self2,axiom,
% 181.98/181.97 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self1,axiom,
% 181.98/181.97 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 181.98/181.97 ! [V_na_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__add__self1,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__add__self2,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 181.98/181.97 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__atLeastLessThan__int,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__less__nat__eq,axiom,
% 181.98/181.97 ! [V_z_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__less__eq__zless,axiom,
% 181.98/181.97 ! [V_z_2,V_w_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__eq__iff2,axiom,
% 181.98/181.97 ! [V_w_2,V_m_2] :
% 181.98/181.97 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 181.98/181.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__eq__iff,axiom,
% 181.98/181.97 ! [V_m_2,V_w_2] :
% 181.98/181.97 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 181.98/181.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__le__eq__zle,axiom,
% 181.98/181.97 ! [V_z_2,V_w_2] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__nat,axiom,
% 181.98/181.97 ! [V_i_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 181.98/181.97 <=> ( ! [B_n] :
% 181.98/181.97 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__add__distrib,axiom,
% 181.98/181.97 ! [V_z_H,V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 181.98/181.97 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__mult__distrib,axiom,
% 181.98/181.97 ! [V_z_H,V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__diff__distrib,axiom,
% 181.98/181.97 ! [V_z,V_z_H] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 181.98/181.97 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I22_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I16_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 181.98/181.97 ! [V_n,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__power__eq,axiom,
% 181.98/181.97 ! [V_n,V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I12_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I13_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I9_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__greaterThanLessThan,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_one__less__nat__eq,axiom,
% 181.98/181.97 ! [V_z_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__zdiv,axiom,
% 181.98/181.97 ! [V_k_2,V_na_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)))
% 181.98/181.97 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.97 => ! [B_i] :
% 181.98/181.97 ( ? [B_j] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ! [B_i] :
% 181.98/181.97 ( ? [B_j] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_divmod__int__rel__div__eq,axiom,
% 181.98/181.97 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 181.98/181.97 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 181.98/181.97 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 181.98/181.97 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__less__iff,axiom,
% 181.98/181.97 ! [V_m_2,V_w_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 181.98/181.97 ! [V_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 181.98/181.97 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__atLeastAtMost__int,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I15_J,axiom,
% 181.98/181.97 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setsum__head,axiom,
% 181.98/181.97 ! [V_Pa_2,V_na_2,V_m_2,T_b] :
% 181.98/181.97 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_na_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_na_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__aux__def,axiom,
% 181.98/181.97 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__morphism__nat__int,axiom,
% 181.98/181.97 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 181.98/181.97 ! [V_na_2,V_m_2] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_na_2)
% 181.98/181.97 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_na_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_na_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_hom__fold1__commute,axiom,
% 181.98/181.97 ! [V_N_2,V_h_2,T_b] :
% 181.98/181.97 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 181.98/181.97 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 181.98/181.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.97 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.97 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_incr__mult__lemma,axiom,
% 181.98/181.97 ! [V_k_2,V_Pa_2,V_d_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,B_x))
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.97 => ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,B_x))
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 181.98/181.97 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 181.98/181.97 ! [V_x_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__le__dividend,axiom,
% 181.98/181.97 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__le__mono,axiom,
% 181.98/181.97 ! [V_k,V_n,V_m] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult2__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => ( V_A_2 = V_B_2
% 181.98/181.97 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 181.98/181.97 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_y)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 181.98/181.97 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 181.98/181.97 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_y)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_y)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 181.98/181.97 ! [V_n,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__1,axiom,
% 181.98/181.97 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__less,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__mult__div__cancel__disj,axiom,
% 181.98/181.97 ! [V_n,V_m,V_k] :
% 181.98/181.97 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.97 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__int,axiom,
% 181.98/181.97 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 181.98/181.97 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_y)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 181.98/181.97 ! [V_A_2,V_x_2] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 181.98/181.97 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__set__def,axiom,
% 181.98/181.97 ! [V_S_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_S_2)
% 181.98/181.97 <=> ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_is__nat__def,axiom,
% 181.98/181.97 ! [V_x_2] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__le__mono2,axiom,
% 181.98/181.97 ! [V_k,V_n,V_m] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__mult__div__cancel1,axiom,
% 181.98/181.97 ! [V_n,V_m,V_k] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self1__is__m,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult__self__is__m,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__less__dividend,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 181.98/181.97 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 181.98/181.97 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__if,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__geq,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__div,axiom,
% 181.98/181.97 ! [V_k_2,V_na_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2)))
% 181.98/181.97 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 181.98/181.97 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => ! [B_i,B_j] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 181.98/181.97 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__div__distrib,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 181.98/181.97 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 181.98/181.97 ! [V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 181.98/181.97 ! [V_x_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 181.98/181.97 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_le__div__geq,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__div__lemma,axiom,
% 181.98/181.97 ! [V_m_2,V_q_2,V_na_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 181.98/181.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_q_2)),V_m_2))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 181.98/181.97 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__div_H,axiom,
% 181.98/181.97 ! [V_na_2,V_m_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2)))
% 181.98/181.97 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 181.98/181.97 | ? [B_q] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),B_q)),V_m_2))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,B_q))))
% 181.98/181.97 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 181.98/181.97 ! [V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 181.98/181.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 181.98/181.97 ! [V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2] :
% 181.98/181.97 ( c_Nat__Transfer_Onat__set(V_A_2)
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 181.98/181.97 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.97 ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 181.98/181.97 ! [V_f_2,V_A_2,T_b] :
% 181.98/181.97 ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 181.98/181.97 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setprod__mono__one__left,axiom,
% 181.98/181.97 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 181.98/181.97 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 181.98/181.97 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setprod__mono__one__right,axiom,
% 181.98/181.97 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 181.98/181.97 ( class_Groups_Ocomm__monoid__mult(T_c)
% 181.98/181.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 181.98/181.97 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__less__imp__eq__int,axiom,
% 181.98/181.97 ! [V_k] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 181.98/181.97 => ? [B_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 181.98/181.97 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_finite__atMost,axiom,
% 181.98/181.97 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__eq__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 181.98/181.97 <=> V_x_2 = V_y_2 ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast0AtMost,axiom,
% 181.98/181.97 ! [V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_lessThan__Suc__atMost,axiom,
% 181.98/181.97 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__atMost,axiom,
% 181.98/181.97 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__Suc,axiom,
% 181.98/181.97 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__iff,axiom,
% 181.98/181.97 ! [V_k_2,V_i_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oord(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__subset__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setsum__atMost__Suc,axiom,
% 181.98/181.97 ! [V_na_2,V_f_2,T_b] :
% 181.98/181.97 ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_na_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__0,axiom,
% 181.98/181.97 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I9_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I3_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I1_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I2_J,axiom,
% 181.98/181.97 ! [V_u_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I10_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I7_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__Pow,axiom,
% 181.98/181.97 ! [V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.97 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atMost__Int__atLeast,axiom,
% 181.98/181.97 ! [V_na_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_na_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_na_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_na_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_field__le__mult__one__interval,axiom,
% 181.98/181.97 ! [V_y,V_x,T_a] :
% 181.98/181.97 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.97 => ( ! [B_z] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) )
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 181.98/181.97 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => ( V_A_2 = V_B_2
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.97 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__pos__lemma,axiom,
% 181.98/181.97 ! [V_na_2,V_Pa_2,V_k_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 181.98/181.97 <=> ! [B_i,B_j] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__neg__lemma,axiom,
% 181.98/181.97 ! [V_na_2,V_Pa_2,V_k_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 181.98/181.97 <=> ! [B_i,B_j] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_PowI,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__top,axiom,
% 181.98/181.97 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__not__empty,axiom,
% 181.98/181.97 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mod__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast__eq__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 181.98/181.97 <=> V_x_2 = V_y_2 ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Cantors__paradox,axiom,
% 181.98/181.97 ! [V_A_2,T_b] :
% 181.98/181.97 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__0,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__by__0,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__self,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__cong,axiom,
% 181.98/181.97 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__simps_I1_J,axiom,
% 181.98/181.97 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__simps_I2_J,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__left__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__right__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__self1,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__add__self2,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__right__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__left__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__mult1,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__mult2,axiom,
% 181.98/181.97 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__simps_I4_J,axiom,
% 181.98/181.97 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__cong,axiom,
% 181.98/181.97 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__diff__right__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Oring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__diff__left__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Oring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__diff__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Oring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__diff__cong,axiom,
% 181.98/181.97 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Oring__div(T_a)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 181.98/181.97 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zero,axiom,
% 181.98/181.97 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__self,axiom,
% 181.98/181.97 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zmult1__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__simps_I3_J,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiff__zmod__left,axiom,
% 181.98/181.97 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiff__zmod__right,axiom,
% 181.98/181.97 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( c_Nat__Transfer_Ois__nat(V_x)
% 181.98/181.97 => ( c_Nat__Transfer_Ois__nat(V_y)
% 181.98/181.97 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zpower__zmod,axiom,
% 181.98/181.97 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__bottom,axiom,
% 181.98/181.97 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__empty,axiom,
% 181.98/181.97 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_finite__Pow__iff,axiom,
% 181.98/181.97 ! [V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 181.98/181.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__insert,axiom,
% 181.98/181.97 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_PowD,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__mono,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__iff,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_image__Pow__surj,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 181.98/181.97 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 181.98/181.97 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Un__Pow__subset,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Pow__Int__eq,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self1__is__0,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self2__is__0,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self1,axiom,
% 181.98/181.97 ! [V_b,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self2,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__by__1,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__div__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__le__nonneg__dividend,axiom,
% 181.98/181.97 ! [V_k,V_m] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_neg__mod__bound,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_pos__mod__bound,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__eq__0__iff,axiom,
% 181.98/181.97 ! [V_d_2,V_m_2] :
% 181.98/181.97 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zdiv__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_DIVISION__BY__ZERO,axiom,
% 181.98/181.97 ! [V_a] :
% 181.98/181.97 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__zadd1__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_image__Pow__mono,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mod__equality,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mod__equality2,axiom,
% 181.98/181.97 ! [V_c,V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__div__equality,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__div__equality2,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Divides_Osemiring__div(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast__iff,axiom,
% 181.98/181.97 ! [V_k_2,V_i_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oord(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__neg__neg__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_neg__mod__conj,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_neg__mod__sign,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__pos__pos__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_pos__mod__conj,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_pos__mod__sign,axiom,
% 181.98/181.97 ! [V_a,V_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast__subset__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zdiv__equality,axiom,
% 181.98/181.97 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__zmult1__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__zmod__equality,axiom,
% 181.98/181.97 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zdiv__zmod__equality2,axiom,
% 181.98/181.97 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmult__div__cancel,axiom,
% 181.98/181.97 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zdiv__equality_H,axiom,
% 181.98/181.97 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__pos__neg__trivial,axiom,
% 181.98/181.97 ! [V_b,V_a] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I14_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I8_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I6_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast__Suc,axiom,
% 181.98/181.97 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_divmod__int__rel__mod__eq,axiom,
% 181.98/181.97 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 181.98/181.97 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y)
% 181.98/181.97 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 181.98/181.97 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmult2__lemma__aux2,axiom,
% 181.98/181.97 ! [V_q,V_r,V_b,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmult2__lemma__aux1,axiom,
% 181.98/181.97 ! [V_q,V_r,V_b,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmult2__lemma__aux4,axiom,
% 181.98/181.97 ! [V_q,V_b,V_r,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmult2__lemma__aux3,axiom,
% 181.98/181.97 ! [V_q,V_b,V_r,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__zmod,axiom,
% 181.98/181.97 ! [V_k_2,V_na_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2)))
% 181.98/181.97 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 181.98/181.97 => ! [B_i,B_j] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 => ! [B_i,B_j] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 181.98/181.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 181.98/181.97 & V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__zmult2__eq,axiom,
% 181.98/181.97 ! [V_b,V_a,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Powp__Pow__eq,axiom,
% 181.98/181.97 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I12_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I13_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I1_J,axiom,
% 181.98/181.97 ! [V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_decr__lemma,axiom,
% 181.98/181.97 ! [V_z,V_x,V_d] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_incr__lemma,axiom,
% 181.98/181.97 ! [V_x,V_z,V_d] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setsum__abs,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setsum__abs__ge__zero,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThan__eq__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 181.98/181.97 <=> V_x_2 = V_y_2 ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__idempotent,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__le__D1,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__ge__self,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__eq__0,axiom,
% 181.98/181.97 ! [V_a_2,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 181.98/181.97 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__zero,axiom,
% 181.98/181.97 ! [T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__add__abs,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__mult__self,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__mult,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__minus__commute,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__one,axiom,
% 181.98/181.97 ! [T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__of__nat,axiom,
% 181.98/181.97 ! [V_n,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_power__abs,axiom,
% 181.98/181.97 ! [V_n,V_a,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 181.98/181.97 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__less,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__divide,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__less__eq__dividend,axiom,
% 181.98/181.97 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__int__eq,axiom,
% 181.98/181.97 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__distrib,axiom,
% 181.98/181.97 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__distrib2,axiom,
% 181.98/181.97 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__setsum__abs,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__setprod,axiom,
% 181.98/181.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 181.98/181.97 ( class_Fields_Olinordered__field(T_b)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_atLeast__Suc__greaterThan,axiom,
% 181.98/181.97 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__of__nonneg,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__le__zero__iff,axiom,
% 181.98/181.97 ! [V_a_2,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 181.98/181.97 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__ge__zero,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__of__pos,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__less__abs__iff,axiom,
% 181.98/181.97 ! [V_a_2,T_b] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 181.98/181.97 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__not__less__zero,axiom,
% 181.98/181.97 ! [V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__triangle__ineq,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__mult__less,axiom,
% 181.98/181.97 ! [V_d,V_b,V_c,V_a,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__triangle__ineq2__sym,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__triangle__ineq2,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__triangle__ineq3,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nonzero__abs__divide,axiom,
% 181.98/181.97 ! [V_a,V_b,T_a] :
% 181.98/181.97 ( class_Fields_Olinordered__field(T_a)
% 181.98/181.97 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__1,axiom,
% 181.98/181.97 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__Suc,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 181.98/181.97 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__less__divisor,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__eq__0__iff,axiom,
% 181.98/181.97 ! [V_d_2,V_m_2] :
% 181.98/181.97 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__geq,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__if,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 181.98/181.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self3,axiom,
% 181.98/181.97 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_le__mod__geq,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__zmult__eq__1,axiom,
% 181.98/181.97 ! [V_n,V_m] :
% 181.98/181.97 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zmod__int,axiom,
% 181.98/181.97 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__add1__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__eq__mult,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Rings_Oordered__ring__abs(T_a)
% 181.98/181.97 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 181.98/181.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 181.98/181.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 181.98/181.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 181.98/181.97 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__mult__pos,axiom,
% 181.98/181.97 ! [V_y,V_x,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 181.98/181.97 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__diff__triangle__ineq,axiom,
% 181.98/181.97 ! [V_d,V_c,V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__triangle__ineq4,axiom,
% 181.98/181.97 ! [V_b,V_a,T_a] :
% 181.98/181.97 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__le__power__abs,axiom,
% 181.98/181.97 ! [V_n,V_a,T_a] :
% 181.98/181.97 ( class_Rings_Olinordered__idom(T_a)
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_abs__div__pos,axiom,
% 181.98/181.97 ! [V_x,V_y,T_a] :
% 181.98/181.97 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 181.98/181.97 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__le__divisor,axiom,
% 181.98/181.97 ! [V_m,V_n] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zabs__less__one__iff,axiom,
% 181.98/181.97 ! [V_z_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 181.98/181.97 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult__self4,axiom,
% 181.98/181.97 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__abs__mult__distrib,axiom,
% 181.98/181.97 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mult1__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__mult2__eq,axiom,
% 181.98/181.97 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__le__zpower__abs,axiom,
% 181.98/181.97 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Omod__div__equality_H,axiom,
% 181.98/181.97 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mult__div__cancel,axiom,
% 181.98/181.97 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_div__mod__equality_H,axiom,
% 181.98/181.97 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThan__iff,axiom,
% 181.98/181.97 ! [V_k_2,V_i_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oord(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThan__subset__iff,axiom,
% 181.98/181.97 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 181.98/181.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Powp__mono,axiom,
% 181.98/181.97 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_split__mod,axiom,
% 181.98/181.97 ! [V_k_2,V_na_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2)))
% 181.98/181.97 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,V_na_2)) )
% 181.98/181.97 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.97 => ! [B_i,B_j] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 181.98/181.97 => ( V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mod__lemma,axiom,
% 181.98/181.97 ! [V_q,V_b,V_r,V_c] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Suc__times__mod__eq,axiom,
% 181.98/181.97 ! [V_m,V_k] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat__mod__distrib,axiom,
% 181.98/181.97 ! [V_y,V_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 181.98/181.97 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_zero__less__zpower__abs__iff,axiom,
% 181.98/181.97 ! [V_na_2,V_x_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_na_2)))
% 181.98/181.97 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 181.98/181.97 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I7_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__un_I11_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Olinorder(T_b)
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_ivl__disj__int_I5_J,axiom,
% 181.98/181.97 ! [V_u_2,V_l_2,T_b] :
% 181.98/181.97 ( class_Orderings_Oorder(T_b)
% 181.98/181.97 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_greaterThan__Suc,axiom,
% 181.98/181.97 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 181.98/181.97 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 181.98/181.97 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 181.98/181.97 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 181.98/181.97 & class_Groups_Ocomm__monoid__mult(T_b) )
% 181.98/181.97 => ( V_A_2 = V_B_2
% 181.98/181.97 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 181.98/181.97 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 181.98/181.97 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_int__val__lemma,axiom,
% 181.98/181.97 ! [V_k_2,V_f_2,V_na_2] :
% 181.98/181.97 ( ! [B_i] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 181.98/181.97 => ? [B_i] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 181.98/181.97 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_nat0__intermed__int__val,axiom,
% 181.98/181.97 ! [V_k_2,V_f_2,V_na_2] :
% 181.98/181.97 ( ! [B_i] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 181.98/181.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 181.98/181.97 => ? [B_i] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 181.98/181.97 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_setprod__pos__nat,axiom,
% 181.98/181.97 ! [V_f_2,V_S_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.97 => ( ! [B_x] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_card__less__Suc,axiom,
% 181.98/181.97 ! [V_i_2,V_M_2] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 181.98/181.97 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_CollectI,axiom,
% 181.98/181.97 ! [T_b,V_a_2,V_Pa_2] :
% 181.98/181.97 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 181.98/181.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_finite__Collect__conjI,axiom,
% 181.98/181.97 ! [V_Q_2,V_Pa_2,T_b] :
% 181.98/181.97 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.97 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 181.98/181.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)))) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_finite__Collect__less__nat,axiom,
% 181.98/181.97 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_finite__Collect__le__nat,axiom,
% 181.98/181.97 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Collect__def,axiom,
% 181.98/181.97 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 181.98/181.97
% 181.98/181.97 fof(fact_empty__Collect__eq,axiom,
% 181.98/181.97 ! [V_Pa_2,T_b] :
% 181.98/181.97 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 181.98/181.97 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Collect__empty__eq,axiom,
% 181.98/181.97 ! [V_Pa_2,T_b] :
% 181.98/181.97 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.97 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_Collect__mem__eq,axiom,
% 181.98/181.97 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 181.98/181.97
% 181.98/181.97 fof(fact_mem__Collect__eq,axiom,
% 181.98/181.97 ! [V_Pa_2,V_a_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.97 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 181.98/181.97
% 181.98/181.97 fof(fact_CollectD,axiom,
% 181.98/181.97 ! [V_Pa_2,V_a_2,T_b] :
% 181.98/181.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.97 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_CollectE,axiom,
% 181.98/181.98 ! [V_Pa_2,V_a_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.98 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_empty__def,axiom,
% 181.98/181.98 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__Collect__disjI,axiom,
% 181.98/181.98 ! [V_Q_2,V_Pa_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2))))
% 181.98/181.98 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.98 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_insert__Collect,axiom,
% 181.98/181.98 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Collect__disj__eq,axiom,
% 181.98/181.98 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Collect__conj__eq,axiom,
% 181.98/181.98 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_insert__compr,axiom,
% 181.98/181.98 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_insert__compr__raw,axiom,
% 181.98/181.98 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Un__def,axiom,
% 181.98/181.98 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Int__Collect,axiom,
% 181.98/181.98 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 181.98/181.98 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.98 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Int__def,axiom,
% 181.98/181.98 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_singleton__conv2,axiom,
% 181.98/181.98 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_singleton__conv,axiom,
% 181.98/181.98 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Collect__conv__if2,axiom,
% 181.98/181.98 ! [T_b,V_a_2,V_Pa_2] :
% 181.98/181.98 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 181.98/181.98 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 181.98/181.98 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 181.98/181.98 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Collect__conv__if,axiom,
% 181.98/181.98 ! [T_b,V_a_2,V_Pa_2] :
% 181.98/181.98 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 181.98/181.98 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 181.98/181.98 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 181.98/181.98 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_set__diff__eq,axiom,
% 181.98/181.98 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_insert__def,axiom,
% 181.98/181.98 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__M__bounded__by__nat,axiom,
% 181.98/181.98 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_setsum__setsum__restrict,axiom,
% 181.98/181.98 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 181.98/181.98 ( class_Groups_Ocomm__monoid__add(T_d)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 181.98/181.98 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_if__image__distrib,axiom,
% 181.98/181.98 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_nat__seg__image__imp__finite,axiom,
% 181.98/181.98 ! [V_na_2,V_f_2,T_b,V_A_2] :
% 181.98/181.98 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_na_2)))
% 181.98/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_setsum__restrict__set_H,axiom,
% 181.98/181.98 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 181.98/181.98 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_setsum__image__gen,axiom,
% 181.98/181.98 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 181.98/181.98 ( class_Groups_Ocomm__monoid__add(T_c)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.98 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_card__less__Suc2,axiom,
% 181.98/181.98 ! [V_i_2,V_M_2] :
% 181.98/181.98 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 181.98/181.98 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_card__less,axiom,
% 181.98/181.98 ! [V_i_2,V_M_2] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 181.98/181.98 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 181.98/181.98 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_setsum__multicount,axiom,
% 181.98/181.98 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 181.98/181.98 => ( ! [B_x] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 181.98/181.98 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 181.98/181.98 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_setsum__multicount__gen,axiom,
% 181.98/181.98 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 181.98/181.98 => ( ! [B_x] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 181.98/181.98 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 181.98/181.98 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_inf__Sup1__distrib,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Lattices_Odistrib__lattice(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_inf__Sup2__distrib,axiom,
% 181.98/181.98 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Lattices_Odistrib__lattice(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__Collect__subsets,axiom,
% 181.98/181.98 ! [V_A_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Pow__def,axiom,
% 181.98/181.98 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__Collect__bounded__ex,axiom,
% 181.98/181.98 ! [V_Q_2,T_c,V_Pa_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2)))))
% 181.98/181.98 <=> ! [B_y] :
% 181.98/181.98 ( hBOOL(hAPP(V_Pa_2,B_y))
% 181.98/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__image__set,axiom,
% 181.98/181.98 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 181.98/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 181.98/181.98 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_nat__gcd_Osimps,axiom,
% 181.98/181.98 ! [V_x,V_y] :
% 181.98/181.98 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.98 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 181.98/181.98 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 181.98/181.98 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 181.98/181.98 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 181.98/181.98 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_sup__Inf2__distrib,axiom,
% 181.98/181.98 ! [V_B_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Lattices_Odistrib__lattice(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 181.98/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_sup__Inf1__distrib,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Lattices_Odistrib__lattice(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 181.98/181.98 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_add__Min__commute,axiom,
% 181.98/181.98 ! [V_k_2,V_N_2,T_b] :
% 181.98/181.98 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.98 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_add__Max__commute,axiom,
% 181.98/181.98 ! [V_k_2,V_N_2,T_b] :
% 181.98/181.98 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.98 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_finite__conv__nat__seg__image,axiom,
% 181.98/181.98 ! [V_A_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_pigeonhole__infinite,axiom,
% 181.98/181.98 ! [V_f_2,T_c,V_A_2,T_b] :
% 181.98/181.98 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 181.98/181.98 => ? [B_x] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 181.98/181.98 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Max_Osingleton,axiom,
% 181.98/181.98 ! [V_x_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Min_Osingleton,axiom,
% 181.98/181.98 ! [V_x_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Max__ge,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Min__le,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Max__in,axiom,
% 181.98/181.98 ! [V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Min__in,axiom,
% 181.98/181.98 ! [V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Max__mono,axiom,
% 181.98/181.98 ! [V_N_2,V_M_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 181.98/181.98 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Min__antimono,axiom,
% 181.98/181.98 ! [V_N_2,V_M_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 181.98/181.98 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Min_Oremove,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 181.98/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_Max_Oremove,axiom,
% 181.98/181.98 ! [V_x_2,V_A_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 181.98/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 181.98/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 181.98/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_UN__le__eq__Un0,axiom,
% 181.98/181.98 ! [V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_na_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_greaterThan__0,axiom,
% 181.98/181.98 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_diff__nat__eq__if,axiom,
% 181.98/181.98 ! [V_z_2,V_z_H_2] :
% 181.98/181.98 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 181.98/181.98 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 181.98/181.98 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 181.98/181.98 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_top1I,axiom,
% 181.98/181.98 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_UNIV__I,axiom,
% 181.98/181.98 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_SUP1__I,axiom,
% 181.98/181.98 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 181.98/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 181.98/181.98 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_max__0L,axiom,
% 181.98/181.98 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 181.98/181.98
% 181.98/181.98 fof(fact_max__0R,axiom,
% 181.98/181.98 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 181.98/181.98
% 181.98/181.98 fof(fact_inf__min,axiom,
% 181.98/181.98 ! [T_b] :
% 181.98/181.98 ( ( class_Lattices_Osemilattice__inf(T_b)
% 181.98/181.98 & class_Orderings_Olinorder(T_b) )
% 181.98/181.98 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__0L,axiom,
% 181.98/181.98 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__0R,axiom,
% 181.98/181.98 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_max__Suc__Suc,axiom,
% 181.98/181.98 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_le__maxI1,axiom,
% 181.98/181.98 ! [V_y,V_x,T_a] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_a)
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_le__maxI2,axiom,
% 181.98/181.98 ! [V_x,V_y,T_a] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_a)
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__max_Ole__iff__sup,axiom,
% 181.98/181.98 ! [V_y_2,V_x_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 181.98/181.98 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_le__max__iff__disj,axiom,
% 181.98/181.98 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 181.98/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 181.98/181.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__max_Ole__sup__iff,axiom,
% 181.98/181.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_b)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 181.98/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 181.98/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__max_Ole__supI1,axiom,
% 181.98/181.98 ! [V_b,V_a,V_x,T_a] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_a)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__max_Ole__supI2,axiom,
% 181.98/181.98 ! [V_a,V_b,V_x,T_a] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_a)
% 181.98/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 181.98/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 181.98/181.98
% 181.98/181.98 fof(fact_min__max_Osup__absorb2,axiom,
% 181.98/181.98 ! [V_y,V_x,T_a] :
% 181.98/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__absorb1,axiom,
% 182.20/181.98 ! [V_x,V_y,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__supI,axiom,
% 182.20/181.98 ! [V_b,V_x,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__least,axiom,
% 182.20/181.98 ! [V_z,V_x,V_y,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__mono,axiom,
% 182.20/181.98 ! [V_d,V_b,V_c,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__supE,axiom,
% 182.20/181.98 ! [V_x,V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 182.20/181.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 182.20/181.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__le1,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__le2,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__iff__inf,axiom,
% 182.20/181.98 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 182.20/181.98 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__inf__iff,axiom,
% 182.20/181.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__le__iff__disj,axiom,
% 182.20/181.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 182.20/181.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__infI1,axiom,
% 182.20/181.98 ! [V_b,V_x,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__infI2,axiom,
% 182.20/181.98 ! [V_a,V_x,V_b,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__absorb1,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__absorb2,axiom,
% 182.20/181.98 ! [V_x,V_y,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__infI,axiom,
% 182.20/181.98 ! [V_b,V_a,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__greatest,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__mono,axiom,
% 182.20/181.98 ! [V_d,V_b,V_c,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ole__infE,axiom,
% 182.20/181.98 ! [V_b,V_a,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 182.20/181.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 182.20/181.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_less__max__iff__disj,axiom,
% 182.20/181.98 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 182.20/181.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__less__iff__conj,axiom,
% 182.20/181.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oless__supI1,axiom,
% 182.20/181.98 ! [V_b,V_a,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oless__supI2,axiom,
% 182.20/181.98 ! [V_a,V_b,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__less__iff__conj,axiom,
% 182.20/181.98 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__less__iff__disj,axiom,
% 182.20/181.98 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 182.20/181.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 182.20/181.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oless__infI1,axiom,
% 182.20/181.98 ! [V_b,V_x,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oless__infI2,axiom,
% 182.20/181.98 ! [V_a,V_x,V_b,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__add__distrib__left,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__add__distrib__left,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__atMost__UNIV,axiom,
% 182.20/181.98 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Pow__UNIV,axiom,
% 182.20/181.98 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__lessThan__UNIV,axiom,
% 182.20/181.98 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UNIV__Plus__UNIV,axiom,
% 182.20/181.98 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Oidem,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Oidem,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 182.20/181.98 ! [V_x,V_z,V_y,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 182.20/181.98 ! [V_x,V_z,V_y,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__assoc,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf_Oassoc,axiom,
% 182.20/181.98 ! [V_c,V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__assoc,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup_Oassoc,axiom,
% 182.20/181.98 ! [V_c,V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__left__commute,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 182.20/181.98 ! [V_c,V_a,V_b,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__left__commute,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 182.20/181.98 ! [V_c,V_a,V_b,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__left__idem,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 182.20/181.98 ! [V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__left__idem,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 182.20/181.98 ! [V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__inf__absorb,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__commute,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf_Ocommute,axiom,
% 182.20/181.98 ! [V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__commute,axiom,
% 182.20/181.98 ! [V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup_Ocommute,axiom,
% 182.20/181.98 ! [V_b,V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf_Oidem,axiom,
% 182.20/181.98 ! [V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup_Oidem,axiom,
% 182.20/181.98 ! [V_a,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_top__apply,axiom,
% 182.20/181.98 ! [V_x_2,T_c,T_b] :
% 182.20/181.98 ( class_Orderings_Otop(T_b)
% 182.20/181.98 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP1__iff,axiom,
% 182.20/181.98 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__greaterThanLessThan,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__greaterThanAtMost,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__UN,axiom,
% 182.20/181.98 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastAtMost,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastLessThan,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Odistrib__sup__le,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Odistrib__inf__le,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_a)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP__UN__eq,axiom,
% 182.20/181.98 ! [V_x_2,V_r_2,T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 182.20/181.98 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__Prod__UNIV,axiom,
% 182.20/181.98 ! [T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__option__UNIV,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 182.20/181.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__atLeast__UNIV,axiom,
% 182.20/181.98 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_sup__max,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( ( class_Lattices_Osemilattice__sup(T_b)
% 182.20/181.98 & class_Orderings_Olinorder(T_b) )
% 182.20/181.98 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__diff__distrib__left,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Groups_Oordered__ab__group__add(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__diff__distrib__left,axiom,
% 182.20/181.98 ! [V_z,V_y,V_x,T_a] :
% 182.20/181.98 ( class_Groups_Oordered__ab__group__add(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__Suc__Suc,axiom,
% 182.20/181.98 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__diff,axiom,
% 182.20/181.98 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__fun__UNIVD2,axiom,
% 182.20/181.98 ! [T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__UN__finite__eq,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UNIV__not__empty,axiom,
% 182.20/181.98 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__UNIV,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Finite__Set_Ofinite(T_b)
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_subset__UNIV,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Un__UNIV__right,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Un__UNIV__left,axiom,
% 182.20/181.98 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__UNIV__right,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__UNIV__left,axiom,
% 182.20/181.98 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__Plus__UNIV__iff,axiom,
% 182.20/181.98 ! [T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 182.20/181.98 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/181.98 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_not__neg__0,axiom,
% 182.20/181.98 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_not__neg__int,axiom,
% 182.20/181.98 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_not__neg__1,axiom,
% 182.20/181.98 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_infinite__UNIV__nat,axiom,
% 182.20/181.98 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UNIV__def,axiom,
% 182.20/181.98 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_range__composition,axiom,
% 182.20/181.98 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_top__greatest,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Orderings_Otop(T_a)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_sup__top__right,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Lattices_Obounded__lattice__top(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_sup__top__left,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Lattices_Obounded__lattice__top(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_inf__eq__top__iff,axiom,
% 182.20/181.98 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.98 ( class_Lattices_Obounded__lattice__top(T_b)
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 182.20/181.98 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 182.20/181.98 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_inf__top__right,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Lattices_Obounded__lattice__top(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_inf__top__left,axiom,
% 182.20/181.98 ! [V_x,T_a] :
% 182.20/181.98 ( class_Lattices_Obounded__lattice__top(T_a)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_nat__minus__add__max,axiom,
% 182.20/181.98 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_range__eqI,axiom,
% 182.20/181.98 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 182.20/181.98 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_rangeI,axiom,
% 182.20/181.98 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Diff__UNIV,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/181.98 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/181.98 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_not__neg__eq__ge__0,axiom,
% 182.20/181.98 ! [V_x_2] :
% 182.20/181.98 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 182.20/181.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_neg__def,axiom,
% 182.20/181.98 ! [V_Z_2] :
% 182.20/181.98 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 182.20/181.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_neg__nat,axiom,
% 182.20/181.98 ! [V_z] :
% 182.20/181.98 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 182.20/181.98 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_not__neg__nat,axiom,
% 182.20/181.98 ! [V_z] :
% 182.20/181.98 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 182.20/181.98 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__Collect__not,axiom,
% 182.20/181.98 ! [V_Pa_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 182.20/181.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__range__imageI,axiom,
% 182.20/181.98 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_atLeast__0,axiom,
% 182.20/181.98 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__Suc1,axiom,
% 182.20/181.98 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),V_m_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__Suc2,axiom,
% 182.20/181.98 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_na_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_na_2)),V_m_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Oin__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Oin__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastAtMostL1,axiom,
% 182.20/181.98 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastAtMostR1,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastAtMostL2,axiom,
% 182.20/181.98 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__atLeastAtMostR2,axiom,
% 182.20/181.98 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_OF__eq,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_OF__eq,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__le__add__shift,axiom,
% 182.20/181.98 ! [V_k_2,V_M_2,V_na_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2))),V_M_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__Suc2,axiom,
% 182.20/181.98 ! [V_na_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_na_2)),V_m_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__Suc1,axiom,
% 182.20/181.98 ! [V_m_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),V_m_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Ofold1__belowI,axiom,
% 182.20/181.98 ! [V_a_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_fold1__below__iff,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_strict__below__fold1__iff,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_fold1__strict__below__iff,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max__insert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min__insert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Osubset__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Osubset__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max__Un,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min__Un,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__UNIV__card__ge__0,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Oinsert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Oinsert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_fold1__antimono,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Oinsert__remove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Ounion__disjoint,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Ounion__inter,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Oinsert__remove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Ounion__disjoint,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Min_Ounion__inter,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_finite__fun__UNIVD1,axiom,
% 182.20/181.98 ! [T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 182.20/181.98 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 182.20/181.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__I,axiom,
% 182.20/181.98 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_image__eq__UN,axiom,
% 182.20/181.98 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__Pow__subset,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__insert,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_sup__nat__def,axiom,
% 182.20/181.98 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_inf__nat__def,axiom,
% 182.20/181.98 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_card__UNIV__unit,axiom,
% 182.20/181.98 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_infinite__UNIV__int,axiom,
% 182.20/181.98 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_ball__UN,axiom,
% 182.20/181.98 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.98 ( ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/181.98 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 => ! [B_xa] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 182.20/181.98 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP__commute,axiom,
% 182.20/181.98 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__UN__flatten,axiom,
% 182.20/181.98 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I9_J,axiom,
% 182.20/181.98 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I9_J,axiom,
% 182.20/181.98 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP__le__iff,axiom,
% 182.20/181.98 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_less__SUP__iff,axiom,
% 182.20/181.98 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 182.20/181.98 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/181.98 & class_Orderings_Olinorder(T_b) )
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__iff,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP__const,axiom,
% 182.20/181.98 ! [V_M_2,T_b,V_A_2,T_c] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UNION__empty__conv_I1_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.98 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__empty2,axiom,
% 182.20/181.98 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__constant,axiom,
% 182.20/181.98 ! [V_c_2,T_c,T_b,V_A_2] :
% 182.20/181.98 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/181.98 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UNION__empty__conv_I2_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b,T_c] :
% 182.20/181.98 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/181.98 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__subset__iff,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 182.20/181.98 <=> ! [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I10_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_image__UN,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I10_J,axiom,
% 182.20/181.98 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__Un__distrib,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__Un,axiom,
% 182.20/181.98 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I5_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I4_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I5_J,axiom,
% 182.20/181.98 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__UN__distrib,axiom,
% 182.20/181.98 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I4_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Int__UN__distrib2,axiom,
% 182.20/181.98 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUPR__apply,axiom,
% 182.20/181.98 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/181.98 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I6_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I6_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP__subset,axiom,
% 182.20/181.98 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_le__SUPI,axiom,
% 182.20/181.98 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 182.20/181.98 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__insert__distrib,axiom,
% 182.20/181.98 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__upper,axiom,
% 182.20/181.98 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__absorb,axiom,
% 182.20/181.98 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I1_J,axiom,
% 182.20/181.98 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__singleton,axiom,
% 182.20/181.98 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I1_J,axiom,
% 182.20/181.98 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I2_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__extend__simps_I3_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I2_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__simps_I3_J,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/181.98 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/181.98 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_dual__min,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_dual__max,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_UN__finite2__subset,axiom,
% 182.20/181.98 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 182.20/181.98 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_max__ord__max,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Oord(T_b)
% 182.20/181.98 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__ord__min,axiom,
% 182.20/181.98 ! [T_b] :
% 182.20/181.98 ( class_Orderings_Oord(T_b)
% 182.20/181.98 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP2__I,axiom,
% 182.20/181.98 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 182.20/181.98 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_Max_Oclosed,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_SUP2__iff,axiom,
% 182.20/181.98 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 182.20/181.98 <=> ? [B_x] :
% 182.20/181.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.98 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__le__Sup,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 182.20/181.98 ! [V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 182.20/181.98 ! [V_x_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 182.20/181.98 ! [V_a_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 182.20/181.98 ! [V_a_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 182.20/181.98 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/181.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 182.20/181.98 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.98 ( class_Orderings_Olinorder(T_b)
% 182.20/181.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 182.20/181.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.98 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 182.20/181.98
% 182.20/181.98 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 182.20/181.98 ! [V_A_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 182.20/181.99 ! [V_A_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Min_Oclosed,axiom,
% 182.20/181.99 ! [V_A_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_UN__finite2__eq,axiom,
% 182.20/181.99 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 182.20/181.99 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 182.20/181.99 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_UN__finite__subset,axiom,
% 182.20/181.99 ! [V_C_2,V_A_2,T_b] :
% 182.20/181.99 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_iso__tuple__UNIV__I,axiom,
% 182.20/181.99 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 182.20/181.99 ! [V_N_2,V_h_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 182.20/181.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 182.20/181.99 ! [V_N_2,V_h_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 182.20/181.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Max_Ohom__commute,axiom,
% 182.20/181.99 ! [V_N_2,V_h_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 182.20/181.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Min_Ohom__commute,axiom,
% 182.20/181.99 ! [V_N_2,V_h_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 182.20/181.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_finite__UN__I,axiom,
% 182.20/181.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( ! [B_a] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 182.20/181.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 182.20/181.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_setsum__cases,axiom,
% 182.20/181.99 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 182.20/181.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__mod__eq__lemma,axiom,
% 182.20/181.99 ! [V_y,V_n,V_x] :
% 182.20/181.99 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 182.20/181.99 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zdiv__zminus1__eq__if,axiom,
% 182.20/181.99 ! [V_a,V_b] :
% 182.20/181.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 182.20/181.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zdiv__zminus2__eq__if,axiom,
% 182.20/181.99 ! [V_a,V_b] :
% 182.20/181.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 182.20/181.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_ComplI,axiom,
% 182.20/181.99 ! [V_A_2,V_c_2,T_b] :
% 182.20/181.99 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negative__zle,axiom,
% 182.20/181.99 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negative__zless,axiom,
% 182.20/181.99 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mod__minus__eq,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Divides_Oring__div(T_a)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mod__minus__cong,axiom,
% 182.20/181.99 ! [V_a_H,V_b,V_a,T_a] :
% 182.20/181.99 ( class_Divides_Oring__div(T_a)
% 182.20/181.99 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__anti__mono,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__subset__Compl__iff,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zminus__0,axiom,
% 182.20/181.99 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__divide__left,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Odivision__ring(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__divide__right,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Fields_Ofield__inverse__zero(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__divide__divide,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Fields_Ofield__inverse__zero(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__minus__cancel,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zminus__zadd__distrib,axiom,
% 182.20/181.99 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmult__zminus,axiom,
% 182.20/181.99 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__minus__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__le__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__le__iff__le,axiom,
% 182.20/181.99 ! [V_a_2,V_b_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__le__compl__iff,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__imp__neg__le,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__mono,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__zero,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__0__equal__iff__equal,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 182.20/181.99 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_equal__neg__zero,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 182.20/181.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__equal__0__iff__equal,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__equal__zero,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 182.20/181.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__minus__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__less__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__less__iff__less,axiom,
% 182.20/181.99 ! [V_a_2,V_b_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__add__distrib,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oab__group__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__add,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__minus__cancel,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__add__cancel,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__mult__right,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Oring(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__mult__left,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Oring(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__mult__commute,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Oring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__mult__minus,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Oring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_square__eq__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Oidom(T_b)
% 182.20/181.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 182.20/181.99 <=> ( V_a_2 = V_b_2
% 182.20/181.99 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__eq__compl__iff,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_b)
% 182.20/181.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 182.20/181.99 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__equal__iff__equal,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 182.20/181.99 <=> V_a_2 = V_b_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__equation__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 182.20/181.99 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_equation__minus__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 182.20/181.99 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_uminus__apply,axiom,
% 182.20/181.99 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( class_Groups_Ouminus(T_b)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_double__compl,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__minus,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_fun__Compl__def,axiom,
% 182.20/181.99 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( class_Groups_Ouminus(T_b)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__eq__Compl__iff,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.99 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 182.20/181.99 <=> V_A_2 = V_B_2 ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_double__complement,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zminus__zminus,axiom,
% 182.20/181.99 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__diff__eq,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oab__group__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__iff,axiom,
% 182.20/181.99 ! [V_A_2,V_c_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 182.20/181.99 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_ComplD,axiom,
% 182.20/181.99 ! [V_A_2,V_c_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 182.20/181.99 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_ComplE,axiom,
% 182.20/181.99 ! [V_A_2,V_c_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 182.20/181.99 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zdiv__zminus2,axiom,
% 182.20/181.99 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zdiv__zminus__zminus,axiom,
% 182.20/181.99 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus2,axiom,
% 182.20/181.99 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus__zminus,axiom,
% 182.20/181.99 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zminus__zmod,axiom,
% 182.20/181.99 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_setsum__negf,axiom,
% 182.20/181.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/181.99 ( class_Groups_Oab__group__add(T_b)
% 182.20/181.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Collect__neg__eq,axiom,
% 182.20/181.99 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__le__self__iff,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__le__0__iff__le,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__minus__self__iff,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__0__le__iff__le,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__0__less__iff__less,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__less__0__iff__less,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__less__nonneg,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__minus__self__iff,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_right__minus,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_b)
% 182.20/181.99 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 182.20/181.99 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_left__minus,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_ab__left__minus,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oab__group__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__unique,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__0,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Rings_Ocomm__ring__1(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__def,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_ab__diff__minus,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oab__group__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__minus__eq__add,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Ogroup__add(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_square__eq__1__iff,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 182.20/181.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 182.20/181.99 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 182.20/181.99 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Rings_Ocomm__ring__1(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__inf__bot,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf__compl__bot,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__eq,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__top__eq,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__bot__eq,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__inf,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__sup,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__sup__top,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup__compl__top,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nonzero__minus__divide__right,axiom,
% 182.20/181.99 ! [V_a,V_b,T_a] :
% 182.20/181.99 ( class_Rings_Odivision__ring(T_a)
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nonzero__minus__divide__divide,axiom,
% 182.20/181.99 ! [V_a,V_b,T_a] :
% 182.20/181.99 ( class_Rings_Odivision__ring(T_a)
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__le__D2,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__leI,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__le__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 182.20/181.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__ge__minus__self,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__less__iff,axiom,
% 182.20/181.99 ! [V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 182.20/181.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_subset__Compl__self__eq,axiom,
% 182.20/181.99 ! [V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 182.20/181.99 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__UNIV__eq,axiom,
% 182.20/181.99 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__empty__eq,axiom,
% 182.20/181.99 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_finite__compl,axiom,
% 182.20/181.99 ! [V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 182.20/181.99 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__disjoint2,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__disjoint,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__partition,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__partition2,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__Int,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__Un,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__min__eq__max,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__max__eq__min,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__atLeastAtMost,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__power__minus,axiom,
% 182.20/181.99 ! [V_n,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zadd__zminus__inverse2,axiom,
% 182.20/181.99 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__Diff__eq,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Diff__Compl,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Diff__eq,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negative__eq__positive,axiom,
% 182.20/181.99 ! [V_m_2,V_na_2] :
% 182.20/181.99 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 182.20/181.99 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/181.99 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_not__int__zless__negative,axiom,
% 182.20/181.99 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus2__not__zero,axiom,
% 182.20/181.99 ! [V_l,V_k] :
% 182.20/181.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus1__not__zero,axiom,
% 182.20/181.99 ! [V_l,V_k] :
% 182.20/181.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__int__def,axiom,
% 182.20/181.99 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__int__def__symmetric,axiom,
% 182.20/181.99 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Ints__minus,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Oring__1(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__eq,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__atLeast,axiom,
% 182.20/181.99 ! [V_k_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__lessThan,axiom,
% 182.20/181.99 ! [V_k_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Collect__imp__eq,axiom,
% 182.20/181.99 ! [V_Q_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__greaterThan,axiom,
% 182.20/181.99 ! [V_k_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Compl__atMost,axiom,
% 182.20/181.99 ! [V_k_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__of__nonpos,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__minus__le__zero,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__if,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oabs__if(T_a)
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__of__neg,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_power__minus,axiom,
% 182.20/181.99 ! [V_n,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_disjoint__eq__subset__Compl,axiom,
% 182.20/181.99 ! [V_B_2,V_A_2,T_b] :
% 182.20/181.99 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_surj__Compl__image__subset,axiom,
% 182.20/181.99 ! [V_A_2,V_f_2,T_b,T_c] :
% 182.20/181.99 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_int__zle__neg,axiom,
% 182.20/181.99 ! [V_m_2,V_na_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 182.20/181.99 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/181.99 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negative__zle__0,axiom,
% 182.20/181.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__zminus__int,axiom,
% 182.20/181.99 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus1__eq__if,axiom,
% 182.20/181.99 ! [V_b,V_a] :
% 182.20/181.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmod__zminus2__eq__if,axiom,
% 182.20/181.99 ! [V_b,V_a] :
% 182.20/181.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zabs__def,axiom,
% 182.20/181.99 ! [V_i] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__atLeastLessThan,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__zminus__int,axiom,
% 182.20/181.99 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__greaterThan,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__lessThan,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__atMost,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_image__uminus__atLeast,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/181.99 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Pow__Compl,axiom,
% 182.20/181.99 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_compl__unique,axiom,
% 182.20/181.99 ! [V_y,V_x,T_a] :
% 182.20/181.99 ( class_Lattices_Oboolean__algebra(T_a)
% 182.20/181.99 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 182.20/181.99 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_not__zle__0__negative,axiom,
% 182.20/181.99 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negative__zless__0,axiom,
% 182.20/181.99 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__mult__distrib__neg,axiom,
% 182.20/181.99 ! [V_z_H,V_z] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__Max__eq__Min,axiom,
% 182.20/181.99 ! [V_S_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 182.20/181.99 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__Min__eq__Max,axiom,
% 182.20/181.99 ! [V_S_2,T_b] :
% 182.20/181.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 182.20/181.99 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_z3div__def,axiom,
% 182.20/181.99 ! [V_k,V_l] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/181.99 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/181.99 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_z3mod__def,axiom,
% 182.20/181.99 ! [V_k,V_l] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/181.99 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/181.99 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__of__nat,axiom,
% 182.20/181.99 ! [V_k,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_negD,axiom,
% 182.20/181.99 ! [V_x] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__neg,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__eq__iff,axiom,
% 182.20/181.99 ! [V_z_2,V_w_2,T_b] :
% 182.20/181.99 ( class_Int_Oring__char__0(T_b)
% 182.20/181.99 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 182.20/181.99 <=> V_w_2 = V_z_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__sgn,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__int__eq,axiom,
% 182.20/181.99 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__0__0,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn0,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Groups_Osgn__if(T_a)
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__times,axiom,
% 182.20/181.99 ! [V_b,V_a,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__eq__0__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Int_Oring__char__0(T_b)
% 182.20/181.99 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__0__eq__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Int_Oring__char__0(T_b)
% 182.20/181.99 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 182.20/181.99 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__0,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__le__iff,axiom,
% 182.20/181.99 ! [V_z_2,V_w_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__less__iff,axiom,
% 182.20/181.99 ! [V_z_2,V_w_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__add,axiom,
% 182.20/181.99 ! [V_z,V_w,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__mult,axiom,
% 182.20/181.99 ! [V_z,V_w,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__1,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__diff,axiom,
% 182.20/181.99 ! [V_z,V_w,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__of__nat__eq,axiom,
% 182.20/181.99 ! [V_n,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__minus,axiom,
% 182.20/181.99 ! [V_z,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Ints__of__int,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Rings_Oring__1(T_b)
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__power,axiom,
% 182.20/181.99 ! [V_n,V_z,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__greater,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__less,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mult__sgn__abs,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__sgn,axiom,
% 182.20/181.99 ! [V_k,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__setsum,axiom,
% 182.20/181.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/181.99 ( class_Rings_Oring__1(T_b)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__setprod,axiom,
% 182.20/181.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/181.99 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 182.20/181.99 & class_Rings_Oring__1(T_b) )
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__le__0__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__0__le__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__less__0__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__0__less__iff,axiom,
% 182.20/181.99 ! [V_z_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__1__pos,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__pos,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__nat__nat,axiom,
% 182.20/181.99 ! [V_z,T_a] :
% 182.20/181.99 ( class_Rings_Oring__1(T_a)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zsgn__def,axiom,
% 182.20/181.99 ! [V_i] :
% 182.20/181.99 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__if,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( class_Groups_Osgn__if(T_a)
% 182.20/181.99 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 182.20/181.99 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 182.20/181.99 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sgn__1__neg,axiom,
% 182.20/181.99 ! [V_a_2,T_b] :
% 182.20/181.99 ( class_Rings_Olinordered__idom(T_b)
% 182.20/181.99 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_card_Oneutral,axiom,
% 182.20/181.99 ! [V_A_2,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.99 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mod__induct__0,axiom,
% 182.20/181.99 ! [V_i_2,V_Pa_2,V_p_2] :
% 182.20/181.99 ( ! [B_i] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 182.20/181.99 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 182.20/181.99 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 182.20/181.99 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 182.20/181.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_fold__image__cong,axiom,
% 182.20/181.99 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 182.20/181.99 ( class_Groups_Oab__semigroup__mult(T_c)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( ! [B_x] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/181.99 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 182.20/181.99 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Min__eqI,axiom,
% 182.20/181.99 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( ! [B_y] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.99 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Max__eqI,axiom,
% 182.20/181.99 ! [V_x_2,V_A_2,T_b] :
% 182.20/181.99 ( class_Orderings_Olinorder(T_b)
% 182.20/181.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/181.99 => ( ! [B_y] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/181.99 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_expand__Suc,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_norm__frac_Osimps,axiom,
% 182.20/181.99 ! [V_a_2,V_b_2] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/181.99 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 182.20/181.99 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_setsum__ivl__cong,axiom,
% 182.20/181.99 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 182.20/181.99 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/181.99 & class_Orderings_Oord(T_b) )
% 182.20/181.99 => ( V_a_2 = V_c_2
% 182.20/181.99 => ( V_b_2 = V_d_2
% 182.20/181.99 => ( ! [B_x] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 182.20/181.99 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 182.20/181.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__eq,axiom,
% 182.20/181.99 ! [V_k,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__int__number__of__eq,axiom,
% 182.20/181.99 ! [V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup__Un__eq2,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf__Int__eq2,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__nat__number__of__lemma,axiom,
% 182.20/181.99 ! [V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_of__nat__number__of__eq,axiom,
% 182.20/181.99 ! [V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_bot__empty__eq2,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_pred__equals__eq2,axiom,
% 182.20/181.99 ! [V_S_2,V_R_2,T_c,T_b] :
% 182.20/181.99 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 182.20/181.99 <=> V_R_2 = V_S_2 ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_pred__subset__eq2,axiom,
% 182.20/181.99 ! [V_S_2,V_R_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__reorient,axiom,
% 182.20/181.99 ! [V_x_2,V_w_2,T_b] :
% 182.20/181.99 ( class_Int_Onumber(T_b)
% 182.20/181.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 182.20/181.99 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__number__of,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Int_Oring__char__0(T_b) )
% 182.20/181.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 182.20/181.99 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__number__of__eq__not__less,axiom,
% 182.20/181.99 ! [V_w_2,V_v_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Orderings_Olinorder(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_right__distrib__number__of,axiom,
% 182.20/181.99 ! [V_c,V_b,V_v,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Rings_Osemiring(T_b) )
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_left__distrib__number__of,axiom,
% 182.20/181.99 ! [V_v,V_b,V_a,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Rings_Osemiring(T_b) )
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_left__diff__distrib__number__of,axiom,
% 182.20/181.99 ! [V_v,V_b,V_a,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Rings_Oring(T_b) )
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_right__diff__distrib__number__of,axiom,
% 182.20/181.99 ! [V_c,V_b,V_v,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Rings_Oring(T_b) )
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__number__of,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__number__of,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__number__of,axiom,
% 182.20/181.99 ! [V_v,V_u,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Orderings_Oord(T_b) )
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_max__number__of,axiom,
% 182.20/181.99 ! [V_v,V_u,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber(T_b)
% 182.20/181.99 & class_Orderings_Oord(T_b) )
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__number__of__left,axiom,
% 182.20/181.99 ! [V_z,V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__number__of__eq,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__add,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__mult,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_arith__simps_I32_J,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mult__number__of__left,axiom,
% 182.20/181.99 ! [V_z,V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__diff,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_arith__simps_I30_J,axiom,
% 182.20/181.99 ! [V_w,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__minus,axiom,
% 182.20/181.99 ! [V_w,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Ints__number__of,axiom,
% 182.20/181.99 ! [V_w_2,T_b] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__eq__eq__number__of1,axiom,
% 182.20/181.99 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 182.20/181.99 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 182.20/181.99 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__eq__eq__number__of,axiom,
% 182.20/181.99 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 182.20/181.99 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 182.20/181.99 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__divide__eq__number__of,axiom,
% 182.20/181.99 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 182.20/181.99 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 182.20/181.99 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__divide__eq__number__of1,axiom,
% 182.20/181.99 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 182.20/181.99 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 182.20/181.99 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/181.99 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__number__of__diff1,axiom,
% 182.20/181.99 ! [V_c,V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__number__of__mult,axiom,
% 182.20/181.99 ! [V_z,V_w,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__number__of__eq,axiom,
% 182.20/181.99 ! [V_w,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_SUP__UN__eq2,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__less__eq__number__of1,axiom,
% 182.20/181.99 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__less__eq__number__of,axiom,
% 182.20/181.99 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__divide__eq__number__of,axiom,
% 182.20/181.99 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__divide__eq__number__of1,axiom,
% 182.20/181.99 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_abs__number__of,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_a) )
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/181.99 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__number__of__diff2,axiom,
% 182.20/181.99 ! [V_w,V_c,V_v,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__le__eq__number__of1,axiom,
% 182.20/181.99 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__le__eq__number__of,axiom,
% 182.20/181.99 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__divide__eq__number__of,axiom,
% 182.20/181.99 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__divide__eq__number__of1,axiom,
% 182.20/181.99 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 182.20/181.99 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/181.99 & class_Int_Onumber(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_in__rel__def,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_pdivmod__def,axiom,
% 182.20/181.99 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmult2__lemma,axiom,
% 182.20/181.99 ! [V_c,V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_one__mod__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup2CI,axiom,
% 182.20/181.99 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 182.20/181.99 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 182.20/181.99 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup2E,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 182.20/181.99 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf2I,axiom,
% 182.20/181.99 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf2E,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 182.20/181.99 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 182.20/181.99 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_bot2E,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__is__id,axiom,
% 182.20/181.99 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 182.20/181.99
% 182.20/181.99 fof(fact_times__numeral__code_I5_J,axiom,
% 182.20/181.99 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_plus__numeral__code_I9_J,axiom,
% 182.20/181.99 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__number__of__int__code,axiom,
% 182.20/181.99 ! [V_l_2,V_k_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__eq__number__of__int__code,axiom,
% 182.20/181.99 ! [V_l_2,V_k_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__numeral__code_I5_J,axiom,
% 182.20/181.99 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__by__empty,axiom,
% 182.20/181.99 ! [V_B_2,T_b,V_A_2] :
% 182.20/181.99 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_rev__predicate2D,axiom,
% 182.20/181.99 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_predicate2D,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Q_2))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf2D1,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_inf2D2,axiom,
% 182.20/181.99 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup2I2,axiom,
% 182.20/181.99 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_sup2I1,axiom,
% 182.20/181.99 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_int__number__of__def,axiom,
% 182.20/181.99 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__def,axiom,
% 182.20/181.99 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of,axiom,
% 182.20/181.99 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__int__rel__0,axiom,
% 182.20/181.99 ! [V_b] :
% 182.20/181.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_self__remainder,axiom,
% 182.20/181.99 ! [V_r,V_q,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_unique__quotient,axiom,
% 182.20/181.99 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => V_q = V_q_H ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_unique__remainder,axiom,
% 182.20/181.99 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => V_r = V_r_H ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__numeral__code_I6_J,axiom,
% 182.20/181.99 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__imp__number__of__eq__0,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_int__eq__iff__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_m_2] :
% 182.20/181.99 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 182.20/181.99 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_self__quotient,axiom,
% 182.20/181.99 ! [V_r,V_q,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H_2,V_v_2] :
% 182.20/181.99 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)
% 182.20/181.99 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 182.20/181.99 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 182.20/181.99 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__int__rel__mod,axiom,
% 182.20/181.99 ! [V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__add__left,axiom,
% 182.20/181.99 ! [V_k,V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__int__rel__div,axiom,
% 182.20/181.99 ! [V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_int__nat__number__of,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__int__rel__div__mod,axiom,
% 182.20/181.99 ! [V_a,V_b] :
% 182.20/181.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mod__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_div__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_power__nat__number__of,axiom,
% 182.20/181.99 ! [V_n,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_power__nat__number__of__number__of,axiom,
% 182.20/181.99 ! [V_w,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zadd1__lemma,axiom,
% 182.20/181.99 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 182.20/181.99 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 182.20/181.99 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zminus1__lemma,axiom,
% 182.20/181.99 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_one__div__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__int__relI,axiom,
% 182.20/181.99 ! [V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 182.20/181.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zmult1__lemma,axiom,
% 182.20/181.99 ! [V_a,V_r,V_q,V_c,V_b] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 182.20/181.99 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Nitpick_Orefl_H__def,axiom,
% 182.20/181.99 ! [V_r_2,T_b] :
% 182.20/181.99 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 182.20/181.99 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__step,axiom,
% 182.20/181.99 ! [V_m,V_n] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 182.20/181.99 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Suc__nat__number__of__add,axiom,
% 182.20/181.99 ! [V_n,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_v_H_2] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_rel__simps_I19_J,axiom,
% 182.20/181.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mult__Pls,axiom,
% 182.20/181.99 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 182.20/181.99
% 182.20/181.99 fof(fact_rel__simps_I2_J,axiom,
% 182.20/181.99 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__Pls__right,axiom,
% 182.20/181.99 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__Pls,axiom,
% 182.20/181.99 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Pls__def,axiom,
% 182.20/181.99 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_minus__Pls,axiom,
% 182.20/181.99 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 182.20/181.99
% 182.20/181.99 fof(fact_diff__bin__simps_I1_J,axiom,
% 182.20/181.99 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__zero,axiom,
% 182.20/181.99 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__Pls,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_semiring__norm_I112_J,axiom,
% 182.20/181.99 ! [T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__numeral__0,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__numeral__0__right,axiom,
% 182.20/181.99 ! [V_a,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_bin__less__0__simps_I1_J,axiom,
% 182.20/181.99 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__Pls,axiom,
% 182.20/181.99 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_semiring__norm_I113_J,axiom,
% 182.20/181.99 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_zero__is__num__zero,axiom,
% 182.20/181.99 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_not__neg__number__of__Pls,axiom,
% 182.20/181.99 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__add__1,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__1__add__number__of,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divide__Numeral0,axiom,
% 182.20/181.99 ! [V_x,T_a] :
% 182.20/181.99 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 182.20/181.99 & class_Int_Onumber__ring(T_a) )
% 182.20/181.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__0__number__of,axiom,
% 182.20/181.99 ! [V_v_2] :
% 182.20/181.99 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__number__of__0,axiom,
% 182.20/181.99 ! [V_v_2] :
% 182.20/181.99 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of2,axiom,
% 182.20/181.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H_2,V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 182.20/181.99 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 182.20/181.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H_2,V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 182.20/181.99 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 182.20/181.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_succ__def,axiom,
% 182.20/181.99 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__base,axiom,
% 182.20/181.99 ! [V_n,V_m] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 182.20/181.99 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__special_I3_J,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__special_I1_J,axiom,
% 182.20/181.99 ! [V_y_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__special_I3_J,axiom,
% 182.20/181.99 ! [V_x_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__special_I1_J,axiom,
% 182.20/181.99 ! [V_y_2,T_b] :
% 182.20/181.99 ( ( class_Int_Onumber__ring(T_b)
% 182.20/181.99 & class_Rings_Olinordered__idom(T_b) )
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__div__mod,axiom,
% 182.20/181.99 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__0__number__of,axiom,
% 182.20/181.99 ! [V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_add__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__succ,axiom,
% 182.20/181.99 ! [V_k,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__mult__left,axiom,
% 182.20/181.99 ! [V_k,V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mult__nat__number__of,axiom,
% 182.20/181.99 ! [V_v_H,V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Suc__nat__number__of,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/181.99 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 182.20/181.99 ! [V_a,V_r,V_q,V_c,V_b] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 182.20/181.99 ! [V_c,V_r,V_q,V_b,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 182.20/181.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 182.20/181.99 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__number__of__Suc,axiom,
% 182.20/181.99 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_min__Suc__number__of,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel__unique,axiom,
% 182.20/181.99 ! [V_qr_H,V_qr,V_n,V_m] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 182.20/181.99 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 182.20/181.99 => V_qr = V_qr_H ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_succ__pred,axiom,
% 182.20/181.99 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__eq,axiom,
% 182.20/181.99 ! [V_qr,V_n,V_m] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 182.20/181.99 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 182.20/181.99 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__iff__pred__less,axiom,
% 182.20/181.99 ! [V_l_2,V_k_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_pred__def,axiom,
% 182.20/181.99 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__def,axiom,
% 182.20/181.99 ! [V_na_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_na_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_na_2)) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_mod__eq,axiom,
% 182.20/181.99 ! [V_r,V_q,V_n,V_m] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 182.20/181.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_div__eq,axiom,
% 182.20/181.99 ! [V_r,V_q,V_n,V_m] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 182.20/181.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_number__of__pred,axiom,
% 182.20/181.99 ! [V_w,T_a] :
% 182.20/181.99 ( class_Int_Onumber__ring(T_a)
% 182.20/181.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel,axiom,
% 182.20/181.99 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_neg__number__of__pred__iff__0,axiom,
% 182.20/181.99 ! [V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 182.20/181.99 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Suc__diff__number__of,axiom,
% 182.20/181.99 ! [V_m,V_v] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_eq__number__of__Suc,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2] :
% 182.20/181.99 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2)
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_Suc__eq__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_na_2] :
% 182.20/181.99 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_na_2))))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__case__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__number__of__diff__1,axiom,
% 182.20/181.99 ! [V_v] :
% 182.20/181.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/181.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 182.20/181.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__number__of__Suc,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_less__Suc__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_na_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__Suc__number__of,axiom,
% 182.20/181.99 ! [V_v_2,V_na_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2)),c_Int_Onat))))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_le__number__of__Suc,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2] :
% 182.20/181.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)))
% 182.20/181.99 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_max__number__of__Suc,axiom,
% 182.20/181.99 ! [V_v_2,V_na_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_na_2)),c_Int_Onat)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_max__Suc__number__of,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_nat__case__add__eq__if,axiom,
% 182.20/181.99 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2)))) ).
% 182.20/181.99
% 182.20/181.99 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 182.20/181.99 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 182.20/181.99 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 182.20/182.00 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 182.20/182.00 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__rec__add__eq__if,axiom,
% 182.20/182.00 ! [V_na_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_na_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_na_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_na_2))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__rec__number__of,axiom,
% 182.20/182.00 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__special_I3_J,axiom,
% 182.20/182.00 ! [V_x_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__special_I1_J,axiom,
% 182.20/182.00 ! [V_y_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_iszero__def,axiom,
% 182.20/182.00 ! [V_z_2,T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => ( c_Int_Oiszero(T_b,V_z_2)
% 182.20/182.00 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_iszero__0,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_a)
% 182.20/182.00 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_not__iszero__1,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_a)
% 182.20/182.00 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__rec__0,axiom,
% 182.20/182.00 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__rec__Suc,axiom,
% 182.20/182.00 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_iszero__Numeral0,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__number__of__eq,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__number__of__odd__number__of,axiom,
% 182.20/182.00 ! [V_v_2,V_w_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_norm__frac_Opsimps,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/182.00 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 182.20/182.00 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/182.00 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zpower__number__of__odd,axiom,
% 182.20/182.00 ! [V_z_2,V_w_2] :
% 182.20/182.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__div__mod,axiom,
% 182.20/182.00 ! [V_l,V_k] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/182.00 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I39_J,axiom,
% 182.20/182.00 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I46_J,axiom,
% 182.20/182.00 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__int__code_I16_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I17_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I51_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 182.20/182.00 <=> V_k_2 = V_l_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__eq__int__code_I16_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I34_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_bin__less__0__simps_I4_J,axiom,
% 182.20/182.00 ! [V_w_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I22_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I12_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Bit1__def,axiom,
% 182.20/182.00 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_neg__number__of__Bit1,axiom,
% 182.20/182.00 ! [V_w_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 182.20/182.00 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus__Bit1,axiom,
% 182.20/182.00 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_iszero__number__of__Bit1,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 & class_Int_Oring__char__0(T_a) )
% 182.20/182.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_succ__Pls,axiom,
% 182.20/182.00 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_number__of__Bit1,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__numeral__1__right,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__numeral__1,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_numeral__1__eq__1,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_semiring__norm_I110_J,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I29_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I5_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divide__numeral__1,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( ( class_Fields_Ofield(T_a)
% 182.20/182.00 & class_Int_Onumber__ring(T_a) )
% 182.20/182.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divide__Numeral1,axiom,
% 182.20/182.00 ! [V_x,T_a] :
% 182.20/182.00 ( ( class_Fields_Ofield(T_a)
% 182.20/182.00 & class_Int_Onumber__ring(T_a) )
% 182.20/182.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_one__is__num__one,axiom,
% 182.20/182.00 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Numeral1__eq1__nat,axiom,
% 182.20/182.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__numeral__1__eq__1,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 182.20/182.00 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_not__iszero__Numeral1,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_numeral__3__eq__3,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_numeral__1__eq__Suc__0,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power3__eq__cube,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Groups_Omonoid__mult(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc3__eq__add__3,axiom,
% 182.20/182.00 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__correct,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_le__special_I2_J,axiom,
% 182.20/182.00 ! [V_y_2,T_b] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_b) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_le__special_I4_J,axiom,
% 182.20/182.00 ! [V_x_2,T_b] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_b) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__special_I2_J,axiom,
% 182.20/182.00 ! [V_y_2,T_b] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_b) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__special_I4_J,axiom,
% 182.20/182.00 ! [V_x_2,T_b] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_b) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__special_I3_J,axiom,
% 182.20/182.00 ! [V_v,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__special_I2_J,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 182.20/182.00 ! [V_m,V_n] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 182.20/182.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 182.20/182.00 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 182.20/182.00 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 182.20/182.00 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 182.20/182.00 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__div__eq__add3__div,axiom,
% 182.20/182.00 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__Suc__eq__div__add3,axiom,
% 182.20/182.00 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__special_I2_J,axiom,
% 182.20/182.00 ! [V_v,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__special_I1_J,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__special_I4_J,axiom,
% 182.20/182.00 ! [V_x_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__special_I2_J,axiom,
% 182.20/182.00 ! [V_y_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__number__of__Bit1,axiom,
% 182.20/182.00 ! [V_w_2] :
% 182.20/182.00 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__number__of__odd,axiom,
% 182.20/182.00 ! [V_z_2,V_w_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_accp__subset,axiom,
% 182.20/182.00 ! [V_R2_2,V_R1_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zmod__number__of__Bit1,axiom,
% 182.20/182.00 ! [V_v,V_w] :
% 182.20/182.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_neg__zmod__mult__2,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_arith__series__int,axiom,
% 182.20/182.00 ! [V_na_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I50_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I49_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I31_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__eq__int__code_I13_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I48_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 182.20/182.00 <=> V_k_2 = V_l_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I7_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__Bit0,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Bit0__Bit0,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Bit0__def,axiom,
% 182.20/182.00 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I14_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__int__code_I13_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus__Bit0,axiom,
% 182.20/182.00 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I44_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 182.20/182.00 <=> V_k_2 = c_Int_OPls ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I38_J,axiom,
% 182.20/182.00 ! [V_l_2] :
% 182.20/182.00 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 182.20/182.00 <=> c_Int_OPls = V_l_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Bit0__Pls,axiom,
% 182.20/182.00 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 182.20/182.00
% 182.20/182.00 fof(fact_bin__less__0__simps_I3_J,axiom,
% 182.20/182.00 ! [V_w_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I21_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I27_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I32_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__eq__int__code_I14_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I10_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I4_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__int__code_I15_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I16_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Bit1__Bit0,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Bit0__Bit1,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I3_J,axiom,
% 182.20/182.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I10_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I9_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zdiv__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_neg__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 182.20/182.00 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pred__Bit0,axiom,
% 182.20/182.00 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pred__Bit1,axiom,
% 182.20/182.00 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_iszero__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w_2,T_b] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 & class_Int_Oring__char__0(T_b) )
% 182.20/182.00 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 182.20/182.00 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_succ__Bit1,axiom,
% 182.20/182.00 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_succ__Bit0,axiom,
% 182.20/182.00 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I15_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__int__code_I14_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I33_J,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__eq__int__code_I15_J,axiom,
% 182.20/182.00 ! [V_k2_2,V_k1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_card__UNIV__bool,axiom,
% 182.20/182.00 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__Bit1,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I8_J,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Bit1__Bit1,axiom,
% 182.20/182.00 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__number__of__even,axiom,
% 182.20/182.00 ! [V_w_2,V_z_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zpower__number__of__even,axiom,
% 182.20/182.00 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_double__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_accp__downward,axiom,
% 182.20/182.00 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 182.20/182.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_accp_Oequations,axiom,
% 182.20/182.00 ! [V_a_2,V_r_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 182.20/182.00 <=> ! [B_x] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 182.20/182.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_accp_Osimps,axiom,
% 182.20/182.00 ! [V_a_2,V_r_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 182.20/182.00 <=> ! [B_x] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 182.20/182.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_number__of1,axiom,
% 182.20/182.00 ! [V_n] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 182.20/182.00 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__number__of__even__number__of,axiom,
% 182.20/182.00 ! [V_w_2,V_v_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__2,axiom,
% 182.20/182.00 ! [V_z,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__2__right,axiom,
% 182.20/182.00 ! [V_z,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_one__add__one__is__two,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__eq__power2,axiom,
% 182.20/182.00 ! [V_a_2,T_b] :
% 182.20/182.00 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 182.20/182.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__power2,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_numeral__2__eq__2,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_semiring__norm_I115_J,axiom,
% 182.20/182.00 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__eq__square,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Groups_Omonoid__mult(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 182.20/182.00 ! [V_x,T_a] :
% 182.20/182.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__2__eq__Suc,axiom,
% 182.20/182.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__2__eq__Suc_H,axiom,
% 182.20/182.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_one__power2,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__minus,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Rings_Oring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__mult__2,axiom,
% 182.20/182.00 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__mult__2__right,axiom,
% 182.20/182.00 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__even__eq,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Groups_Omonoid__mult(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_abs__power2,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__abs,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__1__add__1,axiom,
% 182.20/182.00 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod2__Suc__Suc,axiom,
% 182.20/182.00 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div2__Suc__Suc,axiom,
% 182.20/182.00 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zmod__number__of__Bit0,axiom,
% 182.20/182.00 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__self__div__2,axiom,
% 182.20/182.00 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 182.20/182.00
% 182.20/182.00 fof(fact_half__gt__zero,axiom,
% 182.20/182.00 ! [V_r,T_a] :
% 182.20/182.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 182.20/182.00 & class_Int_Onumber__ring(T_a) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_half__gt__zero__iff,axiom,
% 182.20/182.00 ! [V_r_2,T_b] :
% 182.20/182.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 182.20/182.00 & class_Int_Onumber__ring(T_b) )
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__le__power2,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__le__imp__le,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__semidom(T_a)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__eq__imp__eq,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__semidom(T_a)
% 182.20/182.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 182.20/182.00 => V_x = V_y ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__less__power2,axiom,
% 182.20/182.00 ! [V_a_2,T_b] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 182.20/182.00 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__less__0,axiom,
% 182.20/182.00 ! [V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_sum__power2__eq__zero__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__eq__square__number__of,axiom,
% 182.20/182.00 ! [V_w,T_b] :
% 182.20/182.00 ( ( class_Groups_Omonoid__mult(T_b)
% 182.20/182.00 & class_Int_Onumber(T_b) )
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__2__cases,axiom,
% 182.20/182.00 ! [V_n] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 182.20/182.00 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__2,axiom,
% 182.20/182.00 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__eq__1__iff,axiom,
% 182.20/182.00 ! [V_a_2,T_b] :
% 182.20/182.00 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 182.20/182.00 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 182.20/182.00 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 182.20/182.00 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 182.20/182.00 ! [V_n,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__minus__even,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Rings_Oring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__less__imp__less,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__semidom(T_a)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_sum__power2__le__zero__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 182.20/182.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_sum__power2__ge__zero,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_not__sum__power2__lt__zero,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_sum__power2__gt__zero__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 182.20/182.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__sum,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__le__even__power_H,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 182.20/182.00 ! [V_n,V_x,T_a] :
% 182.20/182.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__odd__eq,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Groups_Omonoid__mult(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__minus1__even,axiom,
% 182.20/182.00 ! [V_n,T_a] :
% 182.20/182.00 ( class_Rings_Oring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zdiv__number__of__Bit1,axiom,
% 182.20/182.00 ! [V_v,V_w] :
% 182.20/182.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod2__gr__0,axiom,
% 182.20/182.00 ! [V_m_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 182.20/182.00 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__2__gt__zero,axiom,
% 182.20/182.00 ! [V_n] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power2__diff,axiom,
% 182.20/182.00 ! [V_y,V_x,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_odd__power__less__zero,axiom,
% 182.20/182.00 ! [V_n,V_a,T_a] :
% 182.20/182.00 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__minus1__odd,axiom,
% 182.20/182.00 ! [V_n,T_a] :
% 182.20/182.00 ( class_Rings_Oring__1(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 182.20/182.00 ! [V_n] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_of__nat__double,axiom,
% 182.20/182.00 ! [V_x,T_a] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_a)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 182.20/182.00 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pos__zmod__mult__2,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_neg__zdiv__mult__2,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pos__zdiv__mult__2,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_adjust__eq,axiom,
% 182.20/182.00 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__gcd_Opsimps,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 182.20/182.00 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 182.20/182.00 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_int__of__code,axiom,
% 182.20/182.00 ! [V_k] :
% 182.20/182.00 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 182.20/182.00 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 182.20/182.00 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat_Osize_I2_J,axiom,
% 182.20/182.00 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral__zero__minus__one,axiom,
% 182.20/182.00 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zero__code__numeral__code,axiom,
% 182.20/182.00 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat_Osize_I1_J,axiom,
% 182.20/182.00 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_one__code__numeral__code,axiom,
% 182.20/182.00 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__mod__code__numeral__def,axiom,
% 182.20/182.00 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg_Osimps,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 182.20/182.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_adjust__def,axiom,
% 182.20/182.00 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__0,axiom,
% 182.20/182.00 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__correct,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pdivmod__posDivAlg,axiom,
% 182.20/182.00 ! [V_k,V_l] :
% 182.20/182.00 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 182.20/182.00 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__div__mod,axiom,
% 182.20/182.00 ! [V_l,V_k] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 182.20/182.00 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__eqn,axiom,
% 182.20/182.00 ! [V_a,V_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 182.20/182.00 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 182.20/182.00 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg__eqn__number__of,axiom,
% 182.20/182.00 ! [V_w,V_v] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/182.00 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/182.00 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg_Opsimps,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 182.20/182.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 182.20/182.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__imageI,axiom,
% 182.20/182.00 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_of__int__num,axiom,
% 182.20/182.00 ! [V_k_2,T_b] :
% 182.20/182.00 ( class_Rings_Oring__1(T_b)
% 182.20/182.00 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 182.20/182.00 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 182.20/182.00 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 182.20/182.00 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_splitI,axiom,
% 182.20/182.00 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod__caseI,axiom,
% 182.20/182.00 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mem__splitI,axiom,
% 182.20/182.00 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_splitD,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_splitD_H,axiom,
% 182.20/182.00 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I42_J,axiom,
% 182.20/182.00 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I45_J,axiom,
% 182.20/182.00 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I40_J,axiom,
% 182.20/182.00 c_Int_OMin != c_Int_OPls ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I37_J,axiom,
% 182.20/182.00 c_Int_OPls != c_Int_OMin ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I7_J,axiom,
% 182.20/182.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I24_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Bit1__Min,axiom,
% 182.20/182.00 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I43_J,axiom,
% 182.20/182.00 ! [V_l_2] :
% 182.20/182.00 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 182.20/182.00 <=> c_Int_OMin = V_l_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I47_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 182.20/182.00 <=> V_k_2 = c_Int_OMin ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__paired__The,axiom,
% 182.20/182.00 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_The__split__eq,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_bin__less__0__simps_I2_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I20_J,axiom,
% 182.20/182.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I23_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I30_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I26_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I6_J,axiom,
% 182.20/182.00 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I3_J,axiom,
% 182.20/182.00 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I9_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I13_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I28_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I8_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__number__of__Pls__Min,axiom,
% 182.20/182.00 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Int_OMin__def,axiom,
% 182.20/182.00 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__Min,axiom,
% 182.20/182.00 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_neg__number__of__Min,axiom,
% 182.20/182.00 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pred__Pls,axiom,
% 182.20/182.00 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Min,axiom,
% 182.20/182.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add__Min__right,axiom,
% 182.20/182.00 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pred__Min,axiom,
% 182.20/182.00 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nonzero__number__of__Min,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_succ__Min,axiom,
% 182.20/182.00 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I2_J,axiom,
% 182.20/182.00 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__minus1__right,axiom,
% 182.20/182.00 ! [V_z,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult__minus1,axiom,
% 182.20/182.00 ! [V_z,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_arith__simps_I31_J,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_number__of__Min,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_abs__minus__one,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_a) )
% 182.20/182.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divide__minus1,axiom,
% 182.20/182.00 ! [V_x,T_a] :
% 182.20/182.00 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 182.20/182.00 & class_Int_Onumber__ring(T_a) )
% 182.20/182.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I11_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rel__simps_I25_J,axiom,
% 182.20/182.00 ! [V_k_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zmod__minus1__right,axiom,
% 182.20/182.00 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I4_J,axiom,
% 182.20/182.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus__Min,axiom,
% 182.20/182.00 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 182.20/182.00 ! [V_n,V_m] :
% 182.20/182.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 182.20/182.00 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 182.20/182.00 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zmult__eq__1__iff,axiom,
% 182.20/182.00 ! [V_na_2,V_m_2] :
% 182.20/182.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 182.20/182.00 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 182.20/182.00 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 182.20/182.00 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 182.20/182.00 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I6_J,axiom,
% 182.20/182.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_diff__bin__simps_I5_J,axiom,
% 182.20/182.00 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_of__int__m1,axiom,
% 182.20/182.00 ! [T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zdiv__minus1__right,axiom,
% 182.20/182.00 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__paired__All,axiom,
% 182.20/182.00 ! [T_c,T_b,V_Pa_2] :
% 182.20/182.00 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 182.20/182.00 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Pair__eq,axiom,
% 182.20/182.00 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.00 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 182.20/182.00 <=> ( V_a_2 = V_a_H_2
% 182.20/182.00 & V_b_2 = V_b_H_2 ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Pair__inject,axiom,
% 182.20/182.00 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 182.20/182.00 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 182.20/182.00 => ~ ( V_a = V_a_H
% 182.20/182.00 => V_b != V_b_H ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__weak__cong,axiom,
% 182.20/182.00 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 182.20/182.00 ( V_p_2 = V_q_2
% 182.20/182.00 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus1__divide,axiom,
% 182.20/182.00 ! [V_x,T_a] :
% 182.20/182.00 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 182.20/182.00 & class_Int_Onumber__ring(T_a) )
% 182.20/182.00 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_abs__power__minus__one,axiom,
% 182.20/182.00 ! [V_n,T_a] :
% 182.20/182.00 ( ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 & class_Rings_Olinordered__idom(T_a) )
% 182.20/182.00 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__eq__minus1,axiom,
% 182.20/182.00 ! [V_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__correct,axiom,
% 182.20/182.00 ! [V_a,V_b] :
% 182.20/182.00 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__minus1,axiom,
% 182.20/182.00 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__pos__neg__trivial,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_zmod__minus1,axiom,
% 182.20/182.00 ! [V_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__rel__def,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__mod__div,axiom,
% 182.20/182.00 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod_Osimps_I2_J,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__conv,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__nat__if,axiom,
% 182.20/182.00 ! [V_m_2,V_na_2] :
% 182.20/182.00 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 182.20/182.00 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 182.20/182.00 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) )
% 182.20/182.00 => c_Divides_Odivmod__nat(V_m_2,V_na_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2),V_na_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__m1__even,axiom,
% 182.20/182.00 ! [V_n,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_power__m1__odd,axiom,
% 182.20/182.00 ! [V_n,T_a] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_a)
% 182.20/182.00 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__eta,axiom,
% 182.20/182.00 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__twice,axiom,
% 182.20/182.00 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg_Osimps,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 182.20/182.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__eqn,axiom,
% 182.20/182.00 ! [V_a,V_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg__eqn__number__of,axiom,
% 182.20/182.00 ! [V_w,V_v] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 182.20/182.00 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 182.20/182.00 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg_Opsimps,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 182.20/182.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) )
% 182.20/182.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nitpick_OFrac__def,axiom,
% 182.20/182.00 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__pdivmod,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 182.20/182.00 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 182.20/182.00 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__code,axiom,
% 182.20/182.00 ! [V_l_2,V_k_2] :
% 182.20/182.00 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 182.20/182.00 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 182.20/182.00 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apsnd__conv,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nitpick_Oprod__def,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_int__ge__less__than__def,axiom,
% 182.20/182.00 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_int__ge__less__than2__def,axiom,
% 182.20/182.00 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__def,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 182.20/182.00 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 182.20/182.00 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negateSnd__eq,axiom,
% 182.20/182.00 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__int__rel__neg,axiom,
% 182.20/182.00 ! [V_qr,V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 182.20/182.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negateSnd__def,axiom,
% 182.20/182.00 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_negDivAlg_Opinduct,axiom,
% 182.20/182.00 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 182.20/182.00 => ( ! [B_a,B_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 182.20/182.00 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_posDivAlg_Opinduct,axiom,
% 182.20/182.00 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 182.20/182.00 => ( ! [B_a,B_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 182.20/182.00 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 182.20/182.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__of__aux__code,axiom,
% 182.20/182.00 ! [V_n,V_i] :
% 182.20/182.00 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 182.20/182.00 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.00 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__pos__neg__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_snd__apsnd,axiom,
% 182.20/182.00 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apsnd__eq__conv,axiom,
% 182.20/182.00 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 182.20/182.00 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 182.20/182.00 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_snd__conv,axiom,
% 182.20/182.00 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 182.20/182.00
% 182.20/182.00 fof(fact_snd__eqD,axiom,
% 182.20/182.00 ! [V_a,V_y,V_x,T_a,T_b] :
% 182.20/182.00 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 182.20/182.00 => V_y = V_a ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_snd__def,axiom,
% 182.20/182.00 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__int__def,axiom,
% 182.20/182.00 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__neg__pos,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__pos__pos,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__pos__pos__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__pos__neg,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__neg__neg,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_in__measure,axiom,
% 182.20/182.00 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_norm__frac_Opinduct,axiom,
% 182.20/182.00 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 182.20/182.00 => ( ! [B_a,B_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__pos__neg__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Pair__fst__snd__eq,axiom,
% 182.20/182.00 ! [T_c,T_b,V_t_2,V_s_2] :
% 182.20/182.00 ( V_s_2 = V_t_2
% 182.20/182.00 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 182.20/182.00 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod__eqI,axiom,
% 182.20/182.00 ! [V_q,V_p,T_b,T_a] :
% 182.20/182.00 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 182.20/182.00 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 182.20/182.00 => V_p = V_q ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_fst__def,axiom,
% 182.20/182.00 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_fst__eqD,axiom,
% 182.20/182.00 ! [V_a,V_y,V_x,T_b,T_a] :
% 182.20/182.00 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 182.20/182.00 => V_x = V_a ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_fst__conv,axiom,
% 182.20/182.00 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 182.20/182.00
% 182.20/182.00 fof(fact_fst__apsnd,axiom,
% 182.20/182.00 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__collapse,axiom,
% 182.20/182.00 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 182.20/182.00
% 182.20/182.00 fof(fact_surjective__pairing,axiom,
% 182.20/182.00 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod__case__beta,axiom,
% 182.20/182.00 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__int__def,axiom,
% 182.20/182.00 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mod__nat__def,axiom,
% 182.20/182.00 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__beta,axiom,
% 182.20/182.00 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__comp__eq,axiom,
% 182.20/182.00 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_split__def,axiom,
% 182.20/182.00 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_The__split,axiom,
% 182.20/182.00 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__neg__pos,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__pos__pos,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__pos__pos__1__number__of,axiom,
% 182.20/182.00 ! [V_w] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__pos__neg,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__neg__neg,axiom,
% 182.20/182.00 ! [V_b,V_a] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 182.20/182.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod__size__simp,axiom,
% 182.20/182.00 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_exI__realizer,axiom,
% 182.20/182.00 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_conjI__realizer,axiom,
% 182.20/182.00 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] :
% 182.20/182.00 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 182.20/182.00 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 182.20/182.00 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 182.20/182.00 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_div__nat__def,axiom,
% 182.20/182.00 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_divmod__nat__rel__def,axiom,
% 182.20/182.00 ! [V_qr_2,V_na_2,V_m_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2))
% 182.20/182.00 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 182.20/182.00 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/182.00 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_na_2)) ) )
% 182.20/182.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__def,axiom,
% 182.20/182.00 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__gcd_Opinduct,axiom,
% 182.20/182.00 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 182.20/182.00 => ( ! [B_x,B_y] :
% 182.20/182.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 182.20/182.00 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mlex__leq,axiom,
% 182.20/182.00 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Rep__Integ__inject,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] :
% 182.20/182.00 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 182.20/182.00 <=> V_x_2 = V_y_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mlex__less,axiom,
% 182.20/182.00 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_finite__psubset__def,axiom,
% 182.20/182.00 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat_Osize_I4_J,axiom,
% 182.20/182.00 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_prod_Orecs,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat__size,axiom,
% 182.20/182.00 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat_Osize_I3_J,axiom,
% 182.20/182.00 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_in__finite__psubset,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 182.20/182.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osize_I1_J,axiom,
% 182.20/182.00 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nats__number__of,axiom,
% 182.20/182.00 ! [V_w_2,T_b] :
% 182.20/182.00 ( class_Int_Onumber__ring(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_in__lex__prod,axiom,
% 182.20/182.00 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 182.20/182.00 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 182.20/182.00 | ( V_a_2 = V_a_H_2
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nats__0,axiom,
% 182.20/182.00 ! [T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nats__add,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nats__mult,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Nats__1,axiom,
% 182.20/182.00 ! [T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_of__nat__in__Nats,axiom,
% 182.20/182.00 ! [V_na_2,T_b] :
% 182.20/182.00 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_na_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_same__fstI,axiom,
% 182.20/182.00 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 182.20/182.00 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osize_I2_J,axiom,
% 182.20/182.00 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apsnd__apfst,axiom,
% 182.20/182.00 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apfst__conv,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Oinject,axiom,
% 182.20/182.00 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 182.20/182.00 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 182.20/182.00 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_fst__apfst,axiom,
% 182.20/182.00 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apfst__eq__conv,axiom,
% 182.20/182.00 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.00 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 182.20/182.00 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_snd__apfst,axiom,
% 182.20/182.00 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apsnd__apfst__commute,axiom,
% 182.20/182.00 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 182.20/182.00 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 182.20/182.00 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Suc__code__numeral__minus__one,axiom,
% 182.20/182.00 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 182.20/182.00
% 182.20/182.00 fof(fact_apfst__apsnd,axiom,
% 182.20/182.00 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osize_I4_J,axiom,
% 182.20/182.00 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__lessI2,axiom,
% 182.20/182.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_code__numeral_Osize_I3_J,axiom,
% 182.20/182.00 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__lessI1,axiom,
% 182.20/182.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__leqI2,axiom,
% 182.20/182.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_smax__insertI,axiom,
% 182.20/182.00 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_smin__insertI,axiom,
% 182.20/182.00 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_smin__emptyI,axiom,
% 182.20/182.00 ! [V_X_2] :
% 182.20/182.00 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_smax__emptyI,axiom,
% 182.20/182.00 ! [V_Y_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 182.20/182.00 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__leqI1,axiom,
% 182.20/182.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_wmin__insertI,axiom,
% 182.20/182.00 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_wmax__insertI,axiom,
% 182.20/182.00 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_wmin__emptyI,axiom,
% 182.20/182.00 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_wmax__emptyI,axiom,
% 182.20/182.00 ! [V_X_2] :
% 182.20/182.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_min__weak__def,axiom,
% 182.20/182.00 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_max__weak__def,axiom,
% 182.20/182.00 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_min__rpair__set,axiom,
% 182.20/182.00 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_max__strict__def,axiom,
% 182.20/182.00 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_max__ext__additive,axiom,
% 182.20/182.00 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_min__strict__def,axiom,
% 182.20/182.00 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_max__rpair__set,axiom,
% 182.20/182.00 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_max__extp__max__ext__eq,axiom,
% 182.20/182.00 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 182.20/182.00 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less__than__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_intrel__iff,axiom,
% 182.20/182.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 182.20/182.00 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_pair__less__def,axiom,
% 182.20/182.00 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mlex__prod__def,axiom,
% 182.20/182.00 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rp__inv__image__rp,axiom,
% 182.20/182.00 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 182.20/182.00 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 182.20/182.00 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__intrel__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] :
% 182.20/182.00 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rp__inv__image__def,axiom,
% 182.20/182.00 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__singleton,axiom,
% 182.20/182.00 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__singleton__iff,axiom,
% 182.20/182.00 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_inv__image__def,axiom,
% 182.20/182.00 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_measure__def,axiom,
% 182.20/182.00 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__empty,axiom,
% 182.20/182.00 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__Un,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__UN,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__Int__subset,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__mono,axiom,
% 182.20/182.00 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Un__Image,axiom,
% 182.20/182.00 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_in__inv__image,axiom,
% 182.20/182.00 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__iff,axiom,
% 182.20/182.00 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 182.20/182.00 <=> ? [B_x] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_rev__ImageI,axiom,
% 182.20/182.00 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__eq__UN,axiom,
% 182.20/182.00 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_of__int,axiom,
% 182.20/182.00 ! [V_j_2,V_i_2,T_b] :
% 182.20/182.00 ( class_Rings_Oring__1(T_b)
% 182.20/182.00 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_One__int__def,axiom,
% 182.20/182.00 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mult,axiom,
% 182.20/182.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Rep__Integ__inverse,axiom,
% 182.20/182.00 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Zero__int__def,axiom,
% 182.20/182.00 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_int__def,axiom,
% 182.20/182.00 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_add,axiom,
% 182.20/182.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_nat,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_minus__int__def,axiom,
% 182.20/182.00 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_less,axiom,
% 182.20/182.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_le,axiom,
% 182.20/182.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_irrefl__def,axiom,
% 182.20/182.00 ! [V_r_2,T_b] :
% 182.20/182.00 ( c_Relation_Oirrefl(T_b,V_r_2)
% 182.20/182.00 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__Abs__Integ,axiom,
% 182.20/182.00 ! [V_z_2] :
% 182.20/182.00 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Field__insert,axiom,
% 182.20/182.00 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Field__empty,axiom,
% 182.20/182.00 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_mono__Field,axiom,
% 182.20/182.00 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Field__Un,axiom,
% 182.20/182.00 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_finite__Field,axiom,
% 182.20/182.00 ! [V_r_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 182.20/182.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Id__on__def,axiom,
% 182.20/182.00 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__def,axiom,
% 182.20/182.00 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_ImageE,axiom,
% 182.20/182.00 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 182.20/182.00 => ~ ! [B_x] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 182.20/182.00 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__empty,axiom,
% 182.20/182.00 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__is__empty2,axiom,
% 182.20/182.00 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 182.20/182.00 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__is__empty,axiom,
% 182.20/182.00 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 182.20/182.00 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Id__on__def_H,axiom,
% 182.20/182.00 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Id__on__empty,axiom,
% 182.20/182.00 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Image__Id__on,axiom,
% 182.20/182.00 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotientI,axiom,
% 182.20/182.00 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Id__on__iff,axiom,
% 182.20/182.00 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 182.20/182.00 <=> ( V_x_2 = V_y_2
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_Id__on__eqI,axiom,
% 182.20/182.00 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 182.20/182.00 ( V_a_2 = V_b_2
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_singleton__quotient,axiom,
% 182.20/182.00 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__class__nondisjoint,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_subset__equiv__class,axiom,
% 182.20/182.00 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotientE,axiom,
% 182.20/182.00 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ~ ! [B_x] :
% 182.20/182.00 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.00 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__intrel,axiom,
% 182.20/182.00 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__class__self,axiom,
% 182.20/182.00 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__disj,axiom,
% 182.20/182.00 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( V_X_2 = V_Y_2
% 182.20/182.00 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__class__eq,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.00 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__eq__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 182.20/182.00 => ( V_X_2 = V_Y_2
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_quotient__eqI,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.00 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__equiv__class,axiom,
% 182.20/182.00 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 182.20/182.00 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.00 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__equiv__class__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 182.20/182.00 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__class__eq__iff,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.00 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.00 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equiv__class__subset,axiom,
% 182.20/182.00 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_eq__equiv__class__iff2,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 182.20/182.00 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 182.20/182.00 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_UN__equiv__class,axiom,
% 182.20/182.00 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.00 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.00 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_UN__equiv__class2,axiom,
% 182.20/182.00 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 182.20/182.00 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 182.20/182.00 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 182.20/182.00 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equivp__equiv,axiom,
% 182.20/182.00 ! [V_A_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 182.20/182.00 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_identity__equivp,axiom,
% 182.20/182.00 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equivp__def,axiom,
% 182.20/182.00 ! [V_R_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.00 <=> ! [B_x,B_y] :
% 182.20/182.00 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 182.20/182.00 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equivp__reflp,axiom,
% 182.20/182.00 ! [V_x_2,V_R_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 182.20/182.00
% 182.20/182.00 fof(fact_equivp__symp,axiom,
% 182.20/182.00 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 182.20/182.00 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.00 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 182.20/182.00 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_equivp__transp,axiom,
% 182.20/182.01 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_congruent2__implies__congruent,axiom,
% 182.20/182.01 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 182.20/182.01 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_congruent2D,axiom,
% 182.20/182.01 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 182.20/182.01 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_congruentD,axiom,
% 182.20/182.01 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 182.20/182.01 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_congruent2__implies__congruent__UN,axiom,
% 182.20/182.01 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 182.20/182.01 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 182.20/182.01 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 182.20/182.01 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UN__equiv__class__inject,axiom,
% 182.20/182.01 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 182.20/182.01 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => ! [B_y] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 182.20/182.01 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 182.20/182.01 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UN__equiv__class__type2,axiom,
% 182.20/182.01 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 182.20/182.01 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 182.20/182.01 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 182.20/182.01 => ( ! [B_x1] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 182.20/182.01 => ! [B_x2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UN__equiv__class__type,axiom,
% 182.20/182.01 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Integ__def,axiom,
% 182.20/182.01 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Id__onE,axiom,
% 182.20/182.01 ! [V_A_2,V_c_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 182.20/182.01 => ~ ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__quotient__disjoint,axiom,
% 182.20/182.01 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 182.20/182.01 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__empty,axiom,
% 182.20/182.01 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__uminus,axiom,
% 182.20/182.01 ! [V_A_2,T_b] :
% 182.20/182.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_subset__inj__on,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__Int,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__def,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 <=> ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => ! [B_xa] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 182.20/182.01 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 182.20/182.01 => B_x = B_xa ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__diff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__id2,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__contraD,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( V_x_2 != V_y_2
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 182.20/182.01 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__iff,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 182.20/182.01 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 182.20/182.01 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__onD,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 182.20/182.01 => V_x_2 = V_y_2 ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__fun,axiom,
% 182.20/182.01 ! [T_d,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_injD,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 182.20/182.01 => V_x_2 = V_y_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__eq,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 182.20/182.01 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__imageD,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__image__eq__iff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 182.20/182.01 <=> V_A_2 = V_B_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 182.20/182.01 <=> V_A_2 = V_B_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__image,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__strict__subset,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__image__mem__iff,axiom,
% 182.20/182.01 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_range__ex1__eq,axiom,
% 182.20/182.01 ! [V_b_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 182.20/182.01 <=> ? [B_x] :
% 182.20/182.01 ( V_b_2 = hAPP(V_f_2,B_x)
% 182.20/182.01 & ! [B_y] :
% 182.20/182.01 ( V_b_2 = hAPP(V_f_2,B_y)
% 182.20/182.01 => B_y = B_x ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__iff__surj,axiom,
% 182.20/182.01 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 182.20/182.01 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => ( ? [B_f] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 182.20/182.01 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__surj__inj,axiom,
% 182.20/182.01 ! [V_f_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_endo__inj__surj,axiom,
% 182.20/182.01 ! [V_f_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__UNIV__surj__inj,axiom,
% 182.20/182.01 ! [V_f_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__UNIV__inj__surj,axiom,
% 182.20/182.01 ! [V_f_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__image__subset__iff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__image__Int,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__Int,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__iff__eq__card,axiom,
% 182.20/182.01 ! [V_f_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_eq__card__imp__inj__on,axiom,
% 182.20/182.01 ! [V_f_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__image__set__diff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__set__diff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_pigeonhole,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 182.20/182.01 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__fun__updI,axiom,
% 182.20/182.01 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__singleton,axiom,
% 182.20/182.01 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Rep__Integ,axiom,
% 182.20/182.01 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__bij__eq,axiom,
% 182.20/182.01 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 182.20/182.01 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__image__Compl__subset,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__insert,axiom,
% 182.20/182.01 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 182.20/182.01 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__Un,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__iff__card__le,axiom,
% 182.20/182.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 182.20/182.01 => ( ? [B_f] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__inj__on__le,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_quotient__diff1,axiom,
% 182.20/182.01 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition__Integ,axiom,
% 182.20/182.01 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__into,axiom,
% 182.20/182.01 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__vimage__singleton,axiom,
% 182.20/182.01 ! [V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimageI,axiom,
% 182.20/182.01 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 182.20/182.01 ( hAPP(V_f_2,V_a_2) = V_b_2
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__Suc,axiom,
% 182.20/182.01 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__add__nat,axiom,
% 182.20/182.01 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__UNIV,axiom,
% 182.20/182.01 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__empty,axiom,
% 182.20/182.01 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Un,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__eq,axiom,
% 182.20/182.01 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimageD,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimageI2,axiom,
% 182.20/182.01 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Collect__eq,axiom,
% 182.20/182.01 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__ident,axiom,
% 182.20/182.01 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Diff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Compl,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__code,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 182.20/182.01 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Int,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__mono,axiom,
% 182.20/182.01 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__UN,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__of__nat,axiom,
% 182.20/182.01 ! [T_b] :
% 182.20/182.01 ( class_Nat_Osemiring__char__0(T_b)
% 182.20/182.01 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__int,axiom,
% 182.20/182.01 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__vimage__subset,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_surj__image__vimage__eq,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__def,axiom,
% 182.20/182.01 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_swap__inj__on,axiom,
% 182.20/182.01 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__singleton__eq,axiom,
% 182.20/182.01 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 182.20/182.01 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__insert,axiom,
% 182.20/182.01 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__vimageD,axiom,
% 182.20/182.01 ! [V_F_2,V_h_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__subsetD,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__vimage__eq,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__vimageI,axiom,
% 182.20/182.01 ! [V_h_2,T_c,V_F_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__vimage__image__eq,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__const,axiom,
% 182.20/182.01 ! [T_c,V_A_2,V_c_2,T_b] :
% 182.20/182.01 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__eq__UN,axiom,
% 182.20/182.01 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__f__f,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__f__eq,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__f__f,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__onto,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__the__inv__into,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__graph,axiom,
% 182.20/182.01 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__subsetI,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__def,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__if,axiom,
% 182.20/182.01 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 182.20/182.01 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 182.20/182.01 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 182.20/182.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 182.20/182.01 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 182.20/182.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 182.20/182.01 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_f__the__inv__into__f,axiom,
% 182.20/182.01 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.01 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_OAbs__image,axiom,
% 182.20/182.01 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_ORep__range,axiom,
% 182.20/182.01 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_OAbs__inject,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 182.20/182.01 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 182.20/182.01 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_ORep__inject,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 182.20/182.01 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_ORep__inverse,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_ORep,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_type__definition_OAbs__inverse,axiom,
% 182.20/182.01 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 182.20/182.01 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 182.20/182.01 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 182.20/182.01 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_accp__acc__eq,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__def,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__compI,axiom,
% 182.20/182.01 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__mono,axiom,
% 182.20/182.01 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_O__assoc,axiom,
% 182.20/182.01 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__distrib2,axiom,
% 182.20/182.01 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__distrib,axiom,
% 182.20/182.01 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__empty2,axiom,
% 182.20/182.01 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__empty1,axiom,
% 182.20/182.01 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__UNION__distrib,axiom,
% 182.20/182.01 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__UNION__distrib2,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_union__comp__emptyL,axiom,
% 182.20/182.01 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 182.20/182.01 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.01 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.01 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_union__comp__emptyR,axiom,
% 182.20/182.01 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 182.20/182.01 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.01 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.01 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acc__subset,axiom,
% 182.20/182.01 ! [V_R2_2,V_R1_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acc__downward,axiom,
% 182.20/182.01 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acc_Osimps,axiom,
% 182.20/182.01 ! [V_r_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 182.20/182.01 <=> ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_max__ext__compat,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_min__ext__compat,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 182.20/182.01 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_pred__comp__rel__comp__eq,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reduction__pairI,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 182.20/182.01 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_max__extp_Oequations,axiom,
% 182.20/182.01 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 182.20/182.01 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 182.20/182.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 182.20/182.01 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 & ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 182.20/182.01 => ? [B_xa] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__less__than,axiom,
% 182.20/182.01 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_pred__comp_Ointros,axiom,
% 182.20/182.01 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__empty,axiom,
% 182.20/182.01 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__inv__image,axiom,
% 182.20/182.01 ! [V_f_2,T_c,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__lex__prod,axiom,
% 182.20/182.01 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 182.20/182.01 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__measure,axiom,
% 182.20/182.01 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__comp__self,axiom,
% 182.20/182.01 ! [V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__less,axiom,
% 182.20/182.01 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_max__ext__wf,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__pair__less,axiom,
% 182.20/182.01 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_pred__comp_Oequations,axiom,
% 182.20/182.01 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 182.20/182.01 <=> ? [B_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 182.20/182.01 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__Int1,axiom,
% 182.20/182.01 ! [V_r_H_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__Int2,axiom,
% 182.20/182.01 ! [V_r_H_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__subset,axiom,
% 182.20/182.01 ! [V_p_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 182.20/182.01 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_min__ext__wf,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__mlex,axiom,
% 182.20/182.01 ! [V_f_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__finite__psubset,axiom,
% 182.20/182.01 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__irrefl,axiom,
% 182.20/182.01 ! [V_a_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__asym,axiom,
% 182.20/182.01 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__not__sym,axiom,
% 182.20/182.01 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__not__refl,axiom,
% 182.20/182.01 ! [V_a_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__int__ge__less__than,axiom,
% 182.20/182.01 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__int__ge__less__than2,axiom,
% 182.20/182.01 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__acc__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acc__wfD,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__no__loop,axiom,
% 182.20/182.01 ! [V_R_2,T_b] :
% 182.20/182.01 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.01 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__union__merge,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 182.20/182.01 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 <=> ~ ? [B_f] :
% 182.20/182.01 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfE__pf,axiom,
% 182.20/182.01 ! [V_A_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 182.20/182.01 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__union__compatible,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf,axiom,
% 182.20/182.01 ! [T_b] :
% 182.20/182.01 ( class_Orderings_Owellorder(T_b)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reduction__pair__def,axiom,
% 182.20/182.01 ! [V_Pa_2,T_b] :
% 182.20/182.01 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 182.20/182.01 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reduction__pair__lemma,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 182.20/182.01 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 182.20/182.01 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__lenlex,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__if__measure,axiom,
% 182.20/182.01 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 182.20/182.01 ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) )
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_max__ext_Ointros,axiom,
% 182.20/182.01 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 182.20/182.01 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 182.20/182.01 => ? [B_xa] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_pred__nat__def,axiom,
% 182.20/182.01 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__lex,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__lexn,axiom,
% 182.20/182.01 ! [V_na_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_lex__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_lexn_Osimps_I1_J,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__pred__nat,axiom,
% 182.20/182.01 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__same__fst,axiom,
% 182.20/182.01 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 182.20/182.01 ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.01 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 182.20/182.01 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 182.20/182.01 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__Collect__split,axiom,
% 182.20/182.01 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_RangeI,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__Id__on,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__Diff__subset,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__empty__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__empty,axiom,
% 182.20/182.01 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__Un__eq,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__Range,axiom,
% 182.20/182.01 ! [V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_snd__eq__Range,axiom,
% 182.20/182.01 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 182.20/182.01 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__insert,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Range__Int__subset,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Nitpick_Oone__frac__def,axiom,
% 182.20/182.01 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 182.20/182.01 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_RangeP__Range__eq,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_RangeP_Ointros,axiom,
% 182.20/182.01 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 182.20/182.01 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_RangeP_Oequations,axiom,
% 182.20/182.01 ! [V_a2_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 182.20/182.01 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Nitpick_Ofrac__def,axiom,
% 182.20/182.01 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_RangeE,axiom,
% 182.20/182.01 ! [V_r_2,T_c,V_b_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 182.20/182.01 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__Un,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 182.20/182.01 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_DomainI,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__Id__on,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__empty__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_c,T_b] :
% 182.20/182.01 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__empty,axiom,
% 182.20/182.01 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__mono,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__Un__eq,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__Domain,axiom,
% 182.20/182.01 ! [V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fst__eq__Domain,axiom,
% 182.20/182.01 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 182.20/182.01 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__insert,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__Int__subset,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__Diff__subset,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Field__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Domain__Collect__split,axiom,
% 182.20/182.01 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_DomainP__Domain__eq,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_DomainE,axiom,
% 182.20/182.01 ! [V_r_2,T_c,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 182.20/182.01 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__split__eq__Sigma,axiom,
% 182.20/182.01 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_DomainP_Ointros,axiom,
% 182.20/182.01 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 182.20/182.01 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SigmaI,axiom,
% 182.20/182.01 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__eq__cancel2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 182.20/182.01 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 182.20/182.01 <=> V_A_2 = V_B_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__empty1,axiom,
% 182.20/182.01 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__cartesian__product,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__cartesian__product,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__empty,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.01 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 182.20/182.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__empty2,axiom,
% 182.20/182.01 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Compl__Times__UNIV2,axiom,
% 182.20/182.01 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Compl__Times__UNIV1,axiom,
% 182.20/182.01 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod__cartesian__product,axiom,
% 182.20/182.01 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_b)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Un__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__Un__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Un__distrib2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rel__comp__subset__Sigma,axiom,
% 182.20/182.01 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_swap__product,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__cartesian__product,axiom,
% 182.20/182.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_equiv__type,axiom,
% 182.20/182.01 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Int__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__Int__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Int__distrib2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Id__on__subset__Times,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Diff__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__Diff__distrib1,axiom,
% 182.20/182.01 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__Diff__distrib2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_DomainP_Oequations,axiom,
% 182.20/182.01 ! [V_a1_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 182.20/182.01 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UNIV__Times__UNIV,axiom,
% 182.20/182.01 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SigmaE2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 182.20/182.01 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SigmaD2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SigmaD1,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_mem__Sigma__iff,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 182.20/182.01 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__cartesian__product__singleton,axiom,
% 182.20/182.01 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Times__subset__cancel2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Image__subset,axiom,
% 182.20/182.01 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__cartesian__productD2,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 182.20/182.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__cartesian__productD1,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 182.20/182.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Collect__split,axiom,
% 182.20/182.01 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SetCompr__Sigma__eq,axiom,
% 182.20/182.01 ! [V_Q_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fst__image__times,axiom,
% 182.20/182.01 ! [V_A_2,T_c,T_b,V_B_2] :
% 182.20/182.01 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.01 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_snd__image__times,axiom,
% 182.20/182.01 ! [V_B_2,T_c,T_b,V_A_2] :
% 182.20/182.01 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.01 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_insert__times__insert,axiom,
% 182.20/182.01 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__equiv__class,axiom,
% 182.20/182.01 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UN__Times__distrib,axiom,
% 182.20/182.01 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__def,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__quotient,axiom,
% 182.20/182.01 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Rings_Osemiring__0(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 182.20/182.01 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 182.20/182.01 ! [V_A_2,V_I_2,T_c,T_b] :
% 182.20/182.01 ? [B_f] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fold__image__Sigma,axiom,
% 182.20/182.01 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 182.20/182.01 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__id,axiom,
% 182.20/182.01 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__id,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apfst__id,axiom,
% 182.20/182.01 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_id__def,axiom,
% 182.20/182.01 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_id__apply,axiom,
% 182.20/182.01 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apsnd__id,axiom,
% 182.20/182.01 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__id,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_of__int__eq__id,axiom,
% 182.20/182.01 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_surj__id,axiom,
% 182.20/182.01 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_split__Pair,axiom,
% 182.20/182.01 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__reindex__id,axiom,
% 182.20/182.01 ! [V_B_2,V_f_2,T_b,T_c] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod__reindex__id,axiom,
% 182.20/182.01 ! [V_B_2,V_f_2,T_b,T_c] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_c)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod__Sigma,axiom,
% 182.20/182.01 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__Sigma,axiom,
% 182.20/182.01 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_d)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_card__SigmaI,axiom,
% 182.20/182.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 182.20/182.01 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__SigmaI,axiom,
% 182.20/182.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ! [B_a] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 182.20/182.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_SigmaE,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 182.20/182.01 => ~ ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => ! [B_y] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 182.20/182.01 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__surj,axiom,
% 182.20/182.01 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__imageI,axiom,
% 182.20/182.01 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__ident,axiom,
% 182.20/182.01 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__simp,axiom,
% 182.20/182.01 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fst__map__pair,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_snd__prod__fun,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair_Oidentity,axiom,
% 182.20/182.01 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apfst__def,axiom,
% 182.20/182.01 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apsnd__def,axiom,
% 182.20/182.01 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair_Oid,axiom,
% 182.20/182.01 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__def,axiom,
% 182.20/182.01 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__surj__on,axiom,
% 182.20/182.01 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 182.20/182.01 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__map__pair__image,axiom,
% 182.20/182.01 ! [V_f_2,T_c,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__inj__on,axiom,
% 182.20/182.01 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 182.20/182.01 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_prod__fun__imageE,axiom,
% 182.20/182.01 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 182.20/182.01 => ~ ! [B_x,B_y] :
% 182.20/182.01 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__def,axiom,
% 182.20/182.01 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.01 & ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 182.20/182.01 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__empty,axiom,
% 182.20/182.01 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_accp__wfPD,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 182.20/182.01 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__accp__iff,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 182.20/182.01 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__Id__on,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__subset,axiom,
% 182.20/182.01 ! [V_p_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 182.20/182.01 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__empty,axiom,
% 182.20/182.01 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__Un,axiom,
% 182.20/182.01 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 182.20/182.01 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__Int,axiom,
% 182.20/182.01 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 182.20/182.01 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__onD,axiom,
% 182.20/182.01 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__onD1,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__onD2,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__in__rel,axiom,
% 182.20/182.01 ! [V_R_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_R_2)
% 182.20/182.01 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__wf__eq,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 182.20/182.01 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reflp__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Predicate_Oreflp(T_b,V_r_2)
% 182.20/182.01 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__onI,axiom,
% 182.20/182.01 ! [V_A_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 182.20/182.01 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__acyclicP,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reflpE,axiom,
% 182.20/182.01 ! [V_x_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Predicate_Oreflp(T_b,V_r_2)
% 182.20/182.01 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__acyclic,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acyclic__subset,axiom,
% 182.20/182.01 ! [V_r_2,V_s_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.01 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 182.20/182.01 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__acyclic__wf,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 182.20/182.01 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Nitpick_Owf_H__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 182.20/182.01 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.01 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 182.20/182.01 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Rep__Integ__cases,axiom,
% 182.20/182.01 ! [V_y_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 182.20/182.01 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Rep__Integ__induct,axiom,
% 182.20/182.01 ! [V_Pa_2,V_y_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 182.20/182.01 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_refl__on__def_H,axiom,
% 182.20/182.01 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.01 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.01 <=> ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 182.20/182.01 & ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Abs__Integ__cases,axiom,
% 182.20/182.01 ! [V_x_2] :
% 182.20/182.01 ~ ! [B_y] :
% 182.20/182.01 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Abs__Integ__induct,axiom,
% 182.20/182.01 ! [V_x_2,V_Pa_2] :
% 182.20/182.01 ( ! [B_y] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_ball__empty,axiom,
% 182.20/182.01 ! [V_Pa_2,T_b,B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Powp__def,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 182.20/182.01 <=> ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 182.20/182.01 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_congruent__def,axiom,
% 182.20/182.01 ! [V_f_2,V_r_2,T_c,T_b] :
% 182.20/182.01 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 182.20/182.01 <=> ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__diff__nat,axiom,
% 182.20/182.01 ! [V_k_2,V_N_2] :
% 182.20/182.01 ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 182.20/182.01 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfP__SUP,axiom,
% 182.20/182.01 ! [T_b,V_r_2,T_c] :
% 182.20/182.01 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 182.20/182.01 => ( ! [B_i,B_j] :
% 182.20/182.01 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 182.20/182.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.01 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_mem__splitE,axiom,
% 182.20/182.01 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 182.20/182.01 => ~ ! [B_x,B_y] :
% 182.20/182.01 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 182.20/182.01 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_mem__splitI2,axiom,
% 182.20/182.01 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 182.20/182.01 ( ! [B_a,B_b] :
% 182.20/182.01 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__Times,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Eps__split,axiom,
% 182.20/182.01 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__comp,axiom,
% 182.20/182.01 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 182.20/182.01 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_comp__inj__on__iff,axiom,
% 182.20/182.01 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 182.20/182.01 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_comp__inj__on,axiom,
% 182.20/182.01 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__imageI,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__eq__id__dest,axiom,
% 182.20/182.01 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 182.20/182.01 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 182.20/182.01 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__id,axiom,
% 182.20/182.01 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_id__o,axiom,
% 182.20/182.01 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_exE__some,axiom,
% 182.20/182.01 ! [T_b,V_c_2,V_Pa_2] :
% 182.20/182.01 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 182.20/182.01 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apfst__compose,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__def,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_some__sym__eq__trivial,axiom,
% 182.20/182.01 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_some__eq__trivial,axiom,
% 182.20/182.01 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_some__eq__ex,axiom,
% 182.20/182.01 ! [T_b,V_Pa_2] :
% 182.20/182.01 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 182.20/182.01 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_someI__ex,axiom,
% 182.20/182.01 ! [T_b,V_Pa_2] :
% 182.20/182.01 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_K__record__comp,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__eq__dest__lhs,axiom,
% 182.20/182.01 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 182.20/182.01 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 182.20/182.01 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_someI,axiom,
% 182.20/182.01 ! [T_b,V_x_2,V_Pa_2] :
% 182.20/182.01 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.01 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_tfl__some,axiom,
% 182.20/182.01 ! [T_b,B_P] :
% 182.20/182.01 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 182.20/182.01 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fun__upd__comp,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__eq__elim,axiom,
% 182.20/182.01 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 182.20/182.01 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 182.20/182.01 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__eq__dest,axiom,
% 182.20/182.01 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 182.20/182.01 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 182.20/182.01 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__apply,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_o__assoc,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_comp__cong,axiom,
% 182.20/182.01 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 182.20/182.01 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))
% 182.20/182.01 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_apsnd__compose,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_vimage__compose,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_comp__surj,axiom,
% 182.20/182.01 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 182.20/182.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 182.20/182.01 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inj__on__imageI2,axiom,
% 182.20/182.01 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 182.20/182.01 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_image__compose,axiom,
% 182.20/182.01 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair_Ocomp,axiom,
% 182.20/182.01 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair__compose,axiom,
% 182.20/182.01 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_map__pair_Ocompositionality,axiom,
% 182.20/182.01 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__reindex,axiom,
% 182.20/182.01 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod__reindex,axiom,
% 182.20/182.01 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod__reindex__cong,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 182.20/182.01 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Eps__split__eq,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_split__paired__Eps,axiom,
% 182.20/182.01 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum_Oreindex,axiom,
% 182.20/182.01 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setprod_Oreindex,axiom,
% 182.20/182.01 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_c)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_the__inv__into__comp,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 182.20/182.01 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fold__image__reindex,axiom,
% 182.20/182.01 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Oab__semigroup__mult(T_d)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 182.20/182.01 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Oremove,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__image_Oreindex,axiom,
% 182.20/182.01 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 182.20/182.01 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 182.20/182.01 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ounion,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.01 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__left__comp,axiom,
% 182.20/182.01 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__comp,axiom,
% 182.20/182.01 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_UN__o,axiom,
% 182.20/182.01 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_fst__comp__map__pair,axiom,
% 182.20/182.01 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_snd__comp__map__pair,axiom,
% 182.20/182.01 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__image_Odistrib,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 182.20/182.01 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_split__comp,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 182.20/182.01 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 182.20/182.01 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ocommute__comp_H,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Oempty,axiom,
% 182.20/182.01 ! [V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__image_Oeq__fold,axiom,
% 182.20/182.01 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 182.20/182.01 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Oinsert,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Ounion__inter,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding_Oinsert__remove,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__reindex__nonzero,axiom,
% 182.20/182.01 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_d)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 182.20/182.01 => ! [B_y] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 182.20/182.01 => ( B_x != B_y
% 182.20/182.01 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 182.20/182.01 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Ounion__idem,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.01 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 182.20/182.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 182.20/182.01 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Oidem__comp,axiom,
% 182.20/182.01 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.01 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_folding__idem_Oinsert__idem,axiom,
% 182.20/182.01 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.01 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.01 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_strong__setprod__reindex__cong,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wfI__pf,axiom,
% 182.20/182.01 ! [V_R_2,T_b] :
% 182.20/182.01 ( ! [B_A] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 182.20/182.01 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 182.20/182.01 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Sigma__mono,axiom,
% 182.20/182.01 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 182.20/182.01 => ( ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acc_OaccI,axiom,
% 182.20/182.01 ! [V_r_2,V_x_2,T_b] :
% 182.20/182.01 ( ! [B_y] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_not__acc__down,axiom,
% 182.20/182.01 ! [V_R_2,V_x_2,T_b] :
% 182.20/182.01 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 182.20/182.01 => ~ ! [B_z] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_max__ext_Osimps,axiom,
% 182.20/182.01 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 182.20/182.01 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 182.20/182.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 182.20/182.01 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.01 & ! [B_x] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 182.20/182.01 => ? [B_xa] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__no__infinite__down__chainE,axiom,
% 182.20/182.01 ! [V_f_2,V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_setsum__reindex__cong,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 182.20/182.01 ( class_Groups_Ocomm__monoid__add(T_d)
% 182.20/182.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.01 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 182.20/182.01 => ( ! [B_a] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 182.20/182.01 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 182.20/182.01 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_scomp__unfold,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Pair__scomp,axiom,
% 182.20/182.01 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_scomp__Pair,axiom,
% 182.20/182.01 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_scomp__scomp,axiom,
% 182.20/182.01 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_scomp__apply,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_scomp__def,axiom,
% 182.20/182.01 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_iterate_Osimps,axiom,
% 182.20/182.01 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 182.20/182.01 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.01 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 182.20/182.01 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.01 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_less__eq,axiom,
% 182.20/182.01 ! [V_na_2,V_m_2] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_nat__intermed__int__val,axiom,
% 182.20/182.01 ! [V_k_2,V_f_2,V_na_2,V_m_2] :
% 182.20/182.01 ( ! [B_i] :
% 182.20/182.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) )
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2)))
% 182.20/182.01 => ? [B_i] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 182.20/182.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2))
% 182.20/182.01 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_wf__trancl,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.01 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_less__than__def,axiom,
% 182.20/182.01 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_acyclic__def,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.01 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl_Or__into__trancl,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__subset__Field2,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__Int__subset,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_r__into__trancl_H,axiom,
% 182.20/182.01 ! [V_r_2,V_p_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__empty,axiom,
% 182.20/182.01 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__domain,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__range,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_finite__trancl,axiom,
% 182.20/182.01 ! [V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__trans,axiom,
% 182.20/182.01 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 182.20/182.01 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__into__trancl2,axiom,
% 182.20/182.01 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_r__r__into__trancl,axiom,
% 182.20/182.01 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__mono,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__unfold,axiom,
% 182.20/182.01 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__subset__Sigma,axiom,
% 182.20/182.01 ! [V_A_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_log_Osimps,axiom,
% 182.20/182.01 ! [V_i,V_b] :
% 182.20/182.01 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 182.20/182.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 182.20/182.01 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 182.20/182.01 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 182.20/182.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 182.20/182.01 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_minus__shift__def,axiom,
% 182.20/182.01 ! [V_r,V_l,V_k] :
% 182.20/182.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 182.20/182.01 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 182.20/182.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 182.20/182.01 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_inc__shift__def,axiom,
% 182.20/182.01 ! [V_k,V_v] :
% 182.20/182.01 ( ( V_v = V_k
% 182.20/182.01 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 182.20/182.01 & ( V_v != V_k
% 182.20/182.01 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_range,axiom,
% 182.20/182.01 ! [V_s,V_k] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__insert,axiom,
% 182.20/182.01 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_reflcl__set__eq,axiom,
% 182.20/182.01 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 182.20/182.01 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_r__into__rtrancl,axiom,
% 182.20/182.01 ! [V_r_2,V_p_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 182.20/182.01 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_IdI,axiom,
% 182.20/182.01 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_trancl__into__rtrancl,axiom,
% 182.20/182.01 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rtrancl__mono,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rtrancl__subset,axiom,
% 182.20/182.01 ! [V_S_2,V_R_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.01 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rtrancl__subset__rtrancl,axiom,
% 182.20/182.01 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Image__closed__trancl,axiom,
% 182.20/182.01 ! [V_X_2,V_r_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 182.20/182.01 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_rtrancl__Int__subset,axiom,
% 182.20/182.01 ! [V_r_2,V_s_2,T_b] :
% 182.20/182.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 182.20/182.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 182.20/182.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Image__Id,axiom,
% 182.20/182.01 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 182.20/182.01
% 182.20/182.01 fof(fact_Id__O__R,axiom,
% 182.20/182.02 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_R__O__Id,axiom,
% 182.20/182.02 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__r__diff__Id,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__unfold,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_r__comp__rtrancl__eq,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__idemp__self__comp,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__reflcl__absorb,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__Un__rtrancl,axiom,
% 182.20/182.02 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__reflcl,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__idemp,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__trans,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__empty,axiom,
% 182.20/182.02 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__rtrancl__absorb,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__trancl__absorb,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__reflcl,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_reflcl__trancl,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__rtrancl__UnI,axiom,
% 182.20/182.02 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 182.20/182.02 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Domain__rtrancl,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Range__rtrancl,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_refl__rtrancl,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__unfold__left,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__unfold__right,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__Un__subset,axiom,
% 182.20/182.02 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_pair__in__Id__conv,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 182.20/182.02 <=> V_a_2 = V_b_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__eq__or__trancl,axiom,
% 182.20/182.02 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 <=> ( V_x_2 = V_y_2
% 182.20/182.02 | ( V_x_2 != V_y_2
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__into__trancl2,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtranclD,axiom,
% 182.20/182.02 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 => ( V_a_2 = V_b_2
% 182.20/182.02 | ( V_a_2 != V_b_2
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__into__trancl1,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__rtrancl__trancl,axiom,
% 182.20/182.02 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__trancl__trancl,axiom,
% 182.20/182.02 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Domain__Id,axiom,
% 182.20/182.02 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Range__Id,axiom,
% 182.20/182.02 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_refl__Id,axiom,
% 182.20/182.02 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_pair__leq__def,axiom,
% 182.20/182.02 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Not__Domain__rtrancl,axiom,
% 182.20/182.02 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 182.20/182.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_acc__downwards,axiom,
% 182.20/182.02 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_acc__downwards__aux,axiom,
% 182.20/182.02 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_wf__insert,axiom,
% 182.20/182.02 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 182.20/182.02 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.02 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_acyclic__insert,axiom,
% 182.20/182.02 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 182.20/182.02 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.02 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_refl__reflcl,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Id__def,axiom,
% 182.20/182.02 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_irrefl__diff__Id,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_pred__nat__trancl__eq__le,axiom,
% 182.20/182.02 ! [V_na_2,V_m_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_na_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__subset__Sigma__aux,axiom,
% 182.20/182.02 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.02 => ( V_a_2 = V_b_2
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_irrefl__tranclI,axiom,
% 182.20/182.02 ! [V_x_2,V_r_2,T_b] :
% 182.20/182.02 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_sequence__trans,axiom,
% 182.20/182.02 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 182.20/182.02 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_total__on__diff__Id,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 182.20/182.02 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__Id,axiom,
% 182.20/182.02 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_refl__on__converse,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.02 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__rel__comp,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__Un,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__Id__on,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__inv__image,axiom,
% 182.20/182.02 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 182.20/182.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__Int,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_total__on__converse,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.02 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Field__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__UNION,axiom,
% 182.20/182.02 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_acyclic__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.02 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__iff,axiom,
% 182.20/182.02 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converseI,axiom,
% 182.20/182.02 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converseD,axiom,
% 182.20/182.02 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_wf__converse__trancl,axiom,
% 182.20/182.02 ! [V_r_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.02 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_equiv__comp__eq,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.02 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Range__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Domain__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Range__def,axiom,
% 182.20/182.02 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_total__on__empty,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__converseD,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__converseI,axiom,
% 182.20/182.02 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__converseI,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__converseD,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Image__subset__eq,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_refl__on__comp__subset,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_comp__equivI,axiom,
% 182.20/182.02 ! [V_A_2,V_r_2,T_b] :
% 182.20/182.02 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 182.20/182.02 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 182.20/182.02 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__acyclic__wf__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 182.20/182.02 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.02 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_total__on__def,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => ! [B_xa] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 182.20/182.02 => ( B_x != B_xa
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__def,axiom,
% 182.20/182.02 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 182.20/182.02 ! [V_R_2,V_p_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_acyclicI,axiom,
% 182.20/182.02 ! [V_r_2,T_b] :
% 182.20/182.02 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 182.20/182.02 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Image__Int__eq,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 182.20/182.02 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__subset,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.02 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 182.20/182.02 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_comp__funpow,axiom,
% 182.20/182.02 ! [V_f_2,V_na_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_na_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_na_2),V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow__mult,axiom,
% 182.20/182.02 ! [V_f_2,V_m_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_wf__exp,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))
% 182.20/182.02 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow__swap1,axiom,
% 182.20/182.02 ! [V_x_2,V_na_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__commute,axiom,
% 182.20/182.02 ! [V_na_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__1,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__rel__pow,axiom,
% 182.20/182.02 ! [V_na_2,V_R_2,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 182.20/182.02 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__rel__comp,axiom,
% 182.20/182.02 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 182.20/182.02 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 182.20/182.02 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__Id,axiom,
% 182.20/182.02 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__power,axiom,
% 182.20/182.02 ! [V_R_2,V_p_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__imp__rtrancl,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_p_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__Id__on,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_relpow_Osimps_I2_J,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)),V_R_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__add,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_relpow_Osimps_I1_J,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__0__E,axiom,
% 182.20/182.02 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 182.20/182.02 => V_x_2 = V_y_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__0__I,axiom,
% 182.20/182.02 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__Suc__I2,axiom,
% 182.20/182.02 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__Suc__I,axiom,
% 182.20/182.02 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow_Osimps_I2_J,axiom,
% 182.20/182.02 ! [V_f_2,V_na_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow__add,axiom,
% 182.20/182.02 ! [V_f_2,V_na_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_na_2),V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valuedD,axiom,
% 182.20/182.02 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 182.20/182.02 => V_y_2 = V_z_2 ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__def,axiom,
% 182.20/182.02 ! [V_r_2,T_c,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 182.20/182.02 <=> ! [B_x,B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 182.20/182.02 => ! [B_z] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 182.20/182.02 => B_y = B_z ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow_Osimps_I1_J,axiom,
% 182.20/182.02 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_trancl__power,axiom,
% 182.20/182.02 ! [V_R_2,V_p_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 182.20/182.02 <=> ? [B_n] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_single__valued__confluent,axiom,
% 182.20/182.02 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_funpow__code__def,axiom,
% 182.20/182.02 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__E2,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => V_x_2 != V_z_2 )
% 182.20/182.02 => ~ ! [B_y,B_m] :
% 182.20/182.02 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__E,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => V_x_2 != V_z_2 )
% 182.20/182.02 => ~ ! [B_y,B_m] :
% 182.20/182.02 ( V_na_2 = hAPP(c_Nat_OSuc,B_m)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 182.20/182.02 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 182.20/182.02 => ! [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 182.20/182.02 => B_y = B_x ) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__Un__separatorE,axiom,
% 182.20/182.02 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Q_2))))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 182.20/182.02 => ! [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 182.20/182.02 => B_x = B_y ) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__Suc__E,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 182.20/182.02 => ~ ! [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2)))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__Suc__D2,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 182.20/182.02 => ? [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__pow__Suc__E2,axiom,
% 182.20/182.02 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_na_2)),V_R_2)))
% 182.20/182.02 => ~ ! [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_na_2),V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_tranclD2,axiom,
% 182.20/182.02 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 182.20/182.02 => ? [B_z] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_tranclD,axiom,
% 182.20/182.02 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 182.20/182.02 => ? [B_z] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_IdE,axiom,
% 182.20/182.02 ! [V_p_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 182.20/182.02 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__image__def,axiom,
% 182.20/182.02 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__empty,axiom,
% 182.20/182.02 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_folding_Oeq__fold,axiom,
% 182.20/182.02 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__def,axiom,
% 182.20/182.02 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_union__fold__insert,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__sup__insert,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__sup(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__inf__insert,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__inf(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Ofold__inf__insert,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Ofold__sup__insert,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 182.20/182.02 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 182.20/182.02 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_sup__SUPR__fold__sup,axiom,
% 182.20/182.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_sup__le__fold__sup,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__sup(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__inf__le__inf,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__inf(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold1__eq__fold__idem,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Olattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Olattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_minus__fold__remove,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_folding__one_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_SUPR__fold__sup,axiom,
% 182.20/182.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold1__eq__fold,axiom,
% 182.20/182.02 ! [V_a_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Groups_Oab__semigroup__mult(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Olattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Olattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Min_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Max_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 182.20/182.02 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 182.20/182.02 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 182.20/182.02 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INFI__fold__inf,axiom,
% 182.20/182.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF1__E,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF1__D,axiom,
% 182.20/182.02 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__E,axiom,
% 182.20/182.02 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__D,axiom,
% 182.20/182.02 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF2__E,axiom,
% 182.20/182.02 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF2__D,axiom,
% 182.20/182.02 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__INT,axiom,
% 182.20/182.02 ! [V_A_2,T_c,V_I_2,T_b] :
% 182.20/182.02 ( ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 182.20/182.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__empty,axiom,
% 182.20/182.02 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__constant,axiom,
% 182.20/182.02 ! [V_c_2,T_c,T_b,V_A_2] :
% 182.20/182.02 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.02 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I9_J,axiom,
% 182.20/182.02 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I9_J,axiom,
% 182.20/182.02 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_le__INF__iff,axiom,
% 182.20/182.02 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__less__iff,axiom,
% 182.20/182.02 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 182.20/182.02 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 & class_Orderings_Olinorder(T_b) )
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 182.20/182.02 <=> ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__insert__distrib,axiom,
% 182.20/182.02 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INFI__bool__eq,axiom,
% 182.20/182.02 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I5_J,axiom,
% 182.20/182.02 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I5_J,axiom,
% 182.20/182.02 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.02 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.02 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.02 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__Int__distrib,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 182.20/182.02 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Pow__INT__eq,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__commute,axiom,
% 182.20/182.02 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INFI__apply,axiom,
% 182.20/182.02 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 182.20/182.02 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm,axiom,
% 182.20/182.02 ! [T_b] :
% 182.20/182.02 ( class_Groups_Oab__semigroup__mult(T_b)
% 182.20/182.02 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__iff,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__INT__eq2,axiom,
% 182.20/182.02 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I10_J,axiom,
% 182.20/182.02 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I10_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_vimage__INT,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 182.20/182.02 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__subset__iff,axiom,
% 182.20/182.02 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 182.20/182.02 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 182.20/182.02 => V_y_2 = V_x_2 ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converse__INTER,axiom,
% 182.20/182.02 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I7_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I6_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I7_J,axiom,
% 182.20/182.02 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Un__INT__distrib,axiom,
% 182.20/182.02 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I6_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Un__INT__distrib2,axiom,
% 182.20/182.02 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__const,axiom,
% 182.20/182.02 ! [V_M_2,T_b,V_A_2,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__absorb,axiom,
% 182.20/182.02 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__INT__eq,axiom,
% 182.20/182.02 ! [V_x_2,V_r_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__lower,axiom,
% 182.20/182.02 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I2_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I1_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__insert,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Collect__ball__eq,axiom,
% 182.20/182.02 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__Un,axiom,
% 182.20/182.02 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UN__extend__simps_I7_J,axiom,
% 182.20/182.02 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UN__simps_I7_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Image__INT__subset,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Compl__INT,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Compl__UN,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__subset,axiom,
% 182.20/182.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INTER__def,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I1_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I2_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I3_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I3_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I4_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 182.20/182.02 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF__leI,axiom,
% 182.20/182.02 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 182.20/182.02 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__greaterThan__UNIV,axiom,
% 182.20/182.02 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I4_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 182.20/182.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 182.20/182.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Image__INT__eq,axiom,
% 182.20/182.02 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 182.20/182.02 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 182.20/182.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 182.20/182.02 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_inf__INFI__fold__inf,axiom,
% 182.20/182.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 182.20/182.02 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 182.20/182.02 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 182.20/182.02 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 182.20/182.02 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.02 => ? [B_y_H] :
% 182.20/182.02 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 182.20/182.02 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__fold__inf,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__fold__sup,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__Inter,axiom,
% 182.20/182.02 ! [V_M_2,T_b] :
% 182.20/182.02 ( ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 182.20/182.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UnionI,axiom,
% 182.20/182.02 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_InterD,axiom,
% 182.20/182.02 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_InterE,axiom,
% 182.20/182.02 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF1__iff,axiom,
% 182.20/182.02 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INF2__iff,axiom,
% 182.20/182.02 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__extend__simps_I8_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INT__simps_I8_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__image__eq,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_INTER__eq__Inter__image,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Un__Inter,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__disjoint,axiom,
% 182.20/182.02 ! [V_A_2,V_C_2,T_b] :
% 182.20/182.02 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__upper,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_le__Inf__iff,axiom,
% 182.20/182.02 ! [V_A_2,V_b_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__le__iff,axiom,
% 182.20/182.02 ! [V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_less__Sup__iff,axiom,
% 182.20/182.02 ! [V_S_2,V_a_2,T_b] :
% 182.20/182.02 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 & class_Orderings_Olinorder(T_b) )
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 182.20/182.02 <=> ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__less__iff,axiom,
% 182.20/182.02 ! [V_a_2,V_S_2,T_b] :
% 182.20/182.02 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 & class_Orderings_Olinorder(T_b) )
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 182.20/182.02 <=> ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Field__Union,axiom,
% 182.20/182.02 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__Pow__eq,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Domain__Union,axiom,
% 182.20/182.02 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Range__Union,axiom,
% 182.20/182.02 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Int__Union2,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Int__Union,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UN__simps_I8_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UN__extend__simps_I8_J,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sigma__Union,axiom,
% 182.20/182.02 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_image__Union,axiom,
% 182.20/182.02 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_vimage__Union,axiom,
% 182.20/182.02 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__Sup,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__Inf,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__lower,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__empty,axiom,
% 182.20/182.02 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__mono,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__quotient,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__insert,axiom,
% 182.20/182.02 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__UnionD,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_subset__Pow__Union,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__anti__mono,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__empty,axiom,
% 182.20/182.02 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__eq,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__UNIV,axiom,
% 182.20/182.02 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__Un__distrib,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__insert,axiom,
% 182.20/182.02 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__image__eq,axiom,
% 182.20/182.02 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UNION__eq__Union__image,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__upper,axiom,
% 182.20/182.02 ! [V_A_2,V_x_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__UNIV,axiom,
% 182.20/182.02 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__lower,axiom,
% 182.20/182.02 ! [V_A_2,V_x_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__empty,axiom,
% 182.20/182.02 ! [T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__Un__distrib,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__singleton,axiom,
% 182.20/182.02 ! [V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__insert,axiom,
% 182.20/182.02 ! [V_A_2,V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Int__Inter__image,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__singleton,axiom,
% 182.20/182.02 ! [V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__UNIV,axiom,
% 182.20/182.02 ! [T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__empty,axiom,
% 182.20/182.02 ! [T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__UNIV,axiom,
% 182.20/182.02 ! [T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__insert,axiom,
% 182.20/182.02 ! [V_A_2,V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Un__eq__Union,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Un__Union__image,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__Int__subset,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Int__eq__Inter,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__Un__subset,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__binary,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__binary,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_sup__Sup__fold__sup,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Sup__fin__Sup,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_inf__Inf__fold__inf,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inf__fin__Inf,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_image__INT,axiom,
% 182.20/182.02 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 182.20/182.02 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_card__partition,axiom,
% 182.20/182.02 ! [V_k_2,V_C_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 182.20/182.02 => ( ! [B_c] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 182.20/182.02 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 182.20/182.02 => ( ! [B_c1] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 182.20/182.02 => ! [B_c2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 182.20/182.02 => ( B_c1 != B_c2
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 182.20/182.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__def,axiom,
% 182.20/182.02 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Union__def,axiom,
% 182.20/182.02 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__Union,axiom,
% 182.20/182.02 ! [V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 182.20/182.02 => ( ! [B_M] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_insert__partition,axiom,
% 182.20/182.02 ! [V_F_2,V_x_2,T_b] :
% 182.20/182.02 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 182.20/182.02 => ! [B_xa] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 182.20/182.02 => ( B_x != B_xa
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 182.20/182.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_inj__on__Inter,axiom,
% 182.20/182.02 ! [V_f_2,T_c,T_b,V_S_2] :
% 182.20/182.02 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 182.20/182.02 => ( ! [B_A] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 182.20/182.02 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 182.20/182.02 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Inter__subset,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( ! [B_X] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 182.20/182.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_inj__on__INTER,axiom,
% 182.20/182.02 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 182.20/182.02 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.02 => ( ! [B_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 182.20/182.02 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 182.20/182.02 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 182.20/182.02 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.02 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 182.20/182.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => ~ ! [B_y] :
% 182.20/182.02 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 182.20/182.02 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 182.20/182.02 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 182.20/182.02 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Orderings_Olinorder(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_InterI,axiom,
% 182.20/182.02 ! [V_A_2,V_C_2,T_b] :
% 182.20/182.02 ( ! [B_X] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_inf__le__fold__inf,axiom,
% 182.20/182.02 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__inf(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_fold__sup__le__sup,axiom,
% 182.20/182.02 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 182.20/182.02 ( class_Lattices_Osemilattice__sup(T_b)
% 182.20/182.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_mod__div__decomp,axiom,
% 182.20/182.02 ! [V_b,V_a,T_a] :
% 182.20/182.02 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.02 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_wf__eq__minimal,axiom,
% 182.20/182.02 ! [V_r_2,T_b] :
% 182.20/182.02 ( c_Wellfounded_Owf(T_b,V_r_2)
% 182.20/182.02 <=> ! [B_Q] :
% 182.20/182.02 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 182.20/182.02 => ? [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 182.20/182.02 & ! [B_y] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_transfer__nat__int__set__cong,axiom,
% 182.20/182.02 ! [V_P_H_2,V_Pa_2] :
% 182.20/182.02 ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 182.20/182.02 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.02 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 182.20/182.02 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Int__Collect__mono,axiom,
% 182.20/182.02 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.02 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_UnionE,axiom,
% 182.20/182.02 ! [V_C_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 182.20/182.02 => ~ ! [B_X] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_converseE,axiom,
% 182.20/182.02 ! [V_r_2,V_yx_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 182.20/182.02 => ~ ! [B_x,B_y] :
% 182.20/182.02 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rel__compE,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 182.20/182.02 => ~ ! [B_x,B_y,B_z] :
% 182.20/182.02 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 182.20/182.02 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_setprod__pos,axiom,
% 182.20/182.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Rings_Olinordered__semidom(T_c)
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 182.20/182.02 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Oof__frac__def,axiom,
% 182.20/182.02 ! [V_q,T_a,T_b] :
% 182.20/182.02 ( ( class_Rings_Oinverse(T_b)
% 182.20/182.02 & class_Rings_Oring__1(T_b) )
% 182.20/182.02 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 182.20/182.02 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 182.20/182.02 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Oless__frac__def,axiom,
% 182.20/182.02 ! [V_r_2,V_q_2,T_b] :
% 182.20/182.02 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 182.20/182.02 ! [V_r_2,V_q_2,T_b] :
% 182.20/182.02 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Odenom__def,axiom,
% 182.20/182.02 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Nitpick_Onum__def,axiom,
% 182.20/182.02 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_internal__split__def,axiom,
% 182.20/182.02 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_setprod__nonneg,axiom,
% 182.20/182.02 ! [V_f_2,V_A_2,T_b,T_c] :
% 182.20/182.02 ( class_Rings_Olinordered__semidom(T_c)
% 182.20/182.02 => ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_internal__split__conv,axiom,
% 182.20/182.02 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_bool_Osize_I2_J,axiom,
% 182.20/182.02 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_bool_Osize_I1_J,axiom,
% 182.20/182.02 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__less__ub,axiom,
% 182.20/182.02 ! [V_u_2,V_f_2] :
% 182.20/182.02 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lenlex__def,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_neq__if__length__neq,axiom,
% 182.20/182.02 ! [V_ys,V_xs,T_a] :
% 182.20/182.02 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 182.20/182.02 => V_xs != V_ys ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexn__length,axiom,
% 182.20/182.02 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))
% 182.20/182.02 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2
% 182.20/182.02 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lenlex__conv,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__sublist,axiom,
% 182.20/182.02 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexn_Osimps_I2_J,axiom,
% 182.20/182.02 ! [V_na_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_na_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_na_2)))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_impossible__Cons,axiom,
% 182.20/182.02 ! [V_x,V_ys,V_xs,T_a] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 182.20/182.02 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list_Oinject,axiom,
% 182.20/182.02 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 182.20/182.02 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 182.20/182.02 <=> ( V_a_2 = V_a_H_2
% 182.20/182.02 & V_list_2 = V_list_H_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_not__Cons__self2,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 182.20/182.02
% 182.20/182.02 fof(fact_not__Cons__self,axiom,
% 182.20/182.02 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list_Osize_I4_J,axiom,
% 182.20/182.02 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Cons__in__lex,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 182.20/182.02 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.02 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 182.20/182.02 | ( V_x_2 = V_y_2
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__Cons__def,axiom,
% 182.20/182.02 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_pick_Osimps,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a,V_i] :
% 182.20/182.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 182.20/182.02 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 182.20/182.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 182.20/182.02 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_select__weight__cons__zero,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexord__cons__cons,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.02 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.02 | ( V_a_2 = V_b_2
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexord__lex,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 182.20/182.02 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.02 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list_Osize_I2_J,axiom,
% 182.20/182.02 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Cons__acc__listrel1I,axiom,
% 182.20/182.02 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__converse,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__mono,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1I2,axiom,
% 182.20/182.02 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 182.20/182.02 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__eq__len,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.02 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 182.20/182.02 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__listrel1__converse,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1I1,axiom,
% 182.20/182.02 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Cons__listrel1__Cons,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.02 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.02 & V_xs_2 = V_ys_2 )
% 182.20/182.02 | ( V_x_2 = V_y_2
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__Cons,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexord__irreflexive,axiom,
% 182.20/182.02 ! [V_y_2,V_r_2,T_b] :
% 182.20/182.02 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__rtrancl__refl,axiom,
% 182.20/182.02 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__mono,axiom,
% 182.20/182.02 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__eq__len,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__rtrancl__trans,axiom,
% 182.20/182.02 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 182.20/182.02 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__subset__listrel,axiom,
% 182.20/182.02 ! [V_r_H_2,V_r_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 182.20/182.02 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel_OCons,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrelp__listrel__eq,axiom,
% 182.20/182.02 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 182.20/182.02 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 182.20/182.02 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__Cons2,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 => ~ ! [B_x,B_xs] :
% 182.20/182.02 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrelp_Oequations_I2_J,axiom,
% 182.20/182.02 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 182.20/182.02 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 182.20/182.02 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 182.20/182.02 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrelp_OCons,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 182.20/182.02 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 182.20/182.02 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__Cons1,axiom,
% 182.20/182.02 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 => ~ ! [B_y,B_ys] :
% 182.20/182.02 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__subset,axiom,
% 182.20/182.02 ! [V_A_2,V_r_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lists__UNIV,axiom,
% 182.20/182.02 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lists__mono,axiom,
% 182.20/182.02 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_equiv__listrel,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.02 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__refl__on,axiom,
% 182.20/182.02 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.02 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.02 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_Cons__in__lists__iff,axiom,
% 182.20/182.02 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 182.20/182.02 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lists__accD,axiom,
% 182.20/182.02 ! [V_r_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lists__accI,axiom,
% 182.20/182.02 ! [V_r_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__iff__nth,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 182.20/182.02 & ! [B_n] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexord__linear,axiom,
% 182.20/182.02 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 182.20/182.02 ( ! [B_a,B_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 182.20/182.02 | B_a = B_b
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.02 | V_x_2 = V_y_2
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_infinite__UNIV__listI,axiom,
% 182.20/182.02 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__eq__iff__nth__eq,axiom,
% 182.20/182.02 ! [T_b,V_ys_2,V_xs_2] :
% 182.20/182.02 ( V_xs_2 = V_ys_2
% 182.20/182.02 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 182.20/182.02 & ! [B_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__Cons__0,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__Cons__Suc,axiom,
% 182.20/182.02 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth_Osimps,axiom,
% 182.20/182.02 ! [V_na_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_na_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_na_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__Cons_H,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a,V_n] :
% 182.20/182.02 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 182.20/182.02 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__Cons__number__of,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a,V_v] :
% 182.20/182.02 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 182.20/182.02 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lexord__take__index__conv,axiom,
% 182.20/182.02 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 182.20/182.02 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 182.20/182.02 | ? [B_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 182.20/182.02 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__sublist,axiom,
% 182.20/182.02 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__set,axiom,
% 182.20/182.02 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__subset__Cons,axiom,
% 182.20/182.02 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_take__all,axiom,
% 182.20/182.02 ! [V_n,V_xs,T_a] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 182.20/182.02 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__take__subset,axiom,
% 182.20/182.02 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__take__subset__set__take,axiom,
% 182.20/182.02 ! [V_xs_2,T_b,V_na_2,V_m_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__sublist__subset,axiom,
% 182.20/182.02 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__take,axiom,
% 182.20/182.02 ! [V_xs,T_a,V_n,V_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_take__Suc__Cons,axiom,
% 182.20/182.02 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__ConsD,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 182.20/182.02 => ( V_y_2 = V_x_2
% 182.20/182.02 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__set__sublistD,axiom,
% 182.20/182.02 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__set__takeD,axiom,
% 182.20/182.02 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_notin__set__sublistI,axiom,
% 182.20/182.02 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__take,axiom,
% 182.20/182.02 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_take__take,axiom,
% 182.20/182.02 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_sublist__upt__eq__take,axiom,
% 182.20/182.02 ! [V_na_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2)) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_l_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_card__length,axiom,
% 182.20/182.02 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_all__set__conv__all__nth,axiom,
% 182.20/182.02 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.02 ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.02 <=> ! [B_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__size__estimation,axiom,
% 182.20/182.02 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__size__estimation_H,axiom,
% 182.20/182.02 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__lists__conv__set,axiom,
% 182.20/182.02 ! [V_A_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__pos__if__in__set,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__set__conv__nth,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 <=> ? [B_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__mem,axiom,
% 182.20/182.02 ! [V_xs_2,T_b,V_na_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_lists__eq__set,axiom,
% 182.20/182.02 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__conv__nth,axiom,
% 182.20/182.02 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__lists__length__eq,axiom,
% 182.20/182.02 ! [V_na_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_finite__lists__length__le,axiom,
% 182.20/182.02 ! [V_na_2,V_A_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel__iff__zip,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.02 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 182.20/182.02 & ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__zip,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_take__zip,axiom,
% 182.20/182.02 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__zip,axiom,
% 182.20/182.02 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_zip__Cons__Cons,axiom,
% 182.20/182.02 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__eq__iff__zip__eq,axiom,
% 182.20/182.02 ! [T_b,V_ys_2,V_xs_2] :
% 182.20/182.02 ( V_xs_2 = V_ys_2
% 182.20/182.02 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 182.20/182.02 & ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_zip__same,axiom,
% 182.20/182.02 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 182.20/182.02 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 & V_a_2 = V_b_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__zip__leftD,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__zip__rightD,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__set__zipE,axiom,
% 182.20/182.02 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 182.20/182.02 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__zip,axiom,
% 182.20/182.02 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_greaterThanLessThan__upto,axiom,
% 182.20/182.02 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listsum__setsum__nth,axiom,
% 182.20/182.02 ! [V_xs_2,T_b] :
% 182.20/182.02 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.02 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__upto,axiom,
% 182.20/182.02 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_atLeastAtMost__upto,axiom,
% 182.20/182.02 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 182.20/182.02 ! [V_ns_2] :
% 182.20/182.02 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.02 <=> ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 182.20/182.02 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_elem__le__listsum__nat,axiom,
% 182.20/182.02 ! [V_ns,V_k] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listsum__simps_I2_J,axiom,
% 182.20/182.02 ! [V_xs,V_x,T_a] :
% 182.20/182.02 ( class_Groups_Omonoid__add(T_a)
% 182.20/182.02 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_atLeastLessThan__upto,axiom,
% 182.20/182.02 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_greaterThanAtMost__upto,axiom,
% 182.20/182.02 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nat__list__def,axiom,
% 182.20/182.02 ! [V_l_2] :
% 182.20/182.02 ( c_List_Onat__list(V_l_2)
% 182.20/182.02 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__size__pointwise,axiom,
% 182.20/182.02 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 182.20/182.02 ( ! [B_x] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listsum__update__nat,axiom,
% 182.20/182.02 ! [V_n,V_ns,V_k] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 182.20/182.02 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_butlast__take,axiom,
% 182.20/182.02 ! [V_xs,T_a,V_n] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.02 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__beyond,axiom,
% 182.20/182.02 ! [V_x,V_i,V_xs,T_a] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 182.20/182.02 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__id,axiom,
% 182.20/182.02 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__list__update__neq,axiom,
% 182.20/182.02 ! [V_x,V_xs,T_a,V_j,V_i] :
% 182.20/182.02 ( V_i != V_j
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__list__update,axiom,
% 182.20/182.02 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_butlast__list__update,axiom,
% 182.20/182.02 ! [V_x,V_xs,T_a,V_k] :
% 182.20/182.02 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 182.20/182.02 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 182.20/182.02 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 182.20/182.02 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_zip__update,axiom,
% 182.20/182.02 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_update__zip,axiom,
% 182.20/182.02 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__swap,axiom,
% 182.20/182.02 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 182.20/182.02 ( V_i != V_i_H
% 182.20/182.02 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__overwrite,axiom,
% 182.20/182.02 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__code_I2_J,axiom,
% 182.20/182.02 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__code_I3_J,axiom,
% 182.20/182.02 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update_Osimps_I2_J,axiom,
% 182.20/182.02 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_in__set__butlastD,axiom,
% 182.20/182.02 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__update__subsetI,axiom,
% 182.20/182.02 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 182.20/182.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__update__subset__insert,axiom,
% 182.20/182.02 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__list__update__eq,axiom,
% 182.20/182.02 ! [V_x,V_xs,T_a,V_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_list__update__same__conv,axiom,
% 182.20/182.02 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 182.20/182.02 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_nth__list__update,axiom,
% 182.20/182.02 ! [V_x,V_j,V_xs,T_a,V_i] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.02 => ( ( V_i = V_j
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 182.20/182.02 & ( V_i != V_j
% 182.20/182.02 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_take__butlast,axiom,
% 182.20/182.02 ! [V_xs,T_a,V_n] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.02 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_length__butlast,axiom,
% 182.20/182.02 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_set__update__memI,axiom,
% 182.20/182.02 ! [V_x_2,V_xs_2,T_b,V_na_2] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.02 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_na_2),V_x_2)))) ) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_butlast__conv__take,axiom,
% 182.20/182.02 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 182.20/182.02
% 182.20/182.02 fof(fact_listrel1__iff__update,axiom,
% 182.20/182.02 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.02 <=> ? [B_y,B_n] :
% 182.20/182.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 182.20/182.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__list__update,axiom,
% 182.20/182.03 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__upto,axiom,
% 182.20/182.03 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__take,axiom,
% 182.20/182.03 ! [V_i,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__sublistI,axiom,
% 182.20/182.03 ! [V_I_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__zipI2,axiom,
% 182.20/182.03 ! [V_xs,T_b,V_ys,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__zipI1,axiom,
% 182.20/182.03 ! [V_ys,T_b,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 182.20/182.03 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_card__distinct,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__card,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__eq__iff__index__eq,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 182.20/182.03 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__conv__nth,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 <=> ! [B_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => ! [B_j] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => ( B_i != B_j
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nitpick_Ocard_H__def,axiom,
% 182.20/182.03 ! [V_A_2,T_b] :
% 182.20/182.03 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__take__lemma,axiom,
% 182.20/182.03 ! [V_ys,V_xs,T_a,V_k] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 182.20/182.03 => ( ! [B_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__remove1__eq,axiom,
% 182.20/182.03 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Cons__number__of,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a,V_v] :
% 182.20/182.03 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 182.20/182.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lists_ONil,axiom,
% 182.20/182.03 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel__Nil1,axiom,
% 182.20/182.03 ! [V_r_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.03 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel__Nil2,axiom,
% 182.20/182.03 ! [V_r_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 182.20/182.03 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__butlast,axiom,
% 182.20/182.03 ! [T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__remove1,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_butlast_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_butlast_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_x,T_a,V_xs] :
% 182.20/182.03 ( ( V_xs = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 182.20/182.03 & ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_y,V_x] :
% 182.20/182.03 ( ( V_x = V_y
% 182.20/182.03 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 182.20/182.03 & ( V_x != V_y
% 182.20/182.03 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osimps_I3_J,axiom,
% 182.20/182.03 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upto__empty,axiom,
% 182.20/182.03 ! [V_i,V_j] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 182.20/182.03 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__0,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__eq__Nil,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Nil,axiom,
% 182.20/182.03 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__nil,axiom,
% 182.20/182.03 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__commute,axiom,
% 182.20/182.03 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrelp_ONil,axiom,
% 182.20/182.03 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrelp_Oequations_I1_J,axiom,
% 182.20/182.03 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__Nil,axiom,
% 182.20/182.03 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__simps_I1_J,axiom,
% 182.20/182.03 ! [T_a] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_a)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__0__conv,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osize_I3_J,axiom,
% 182.20/182.03 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__empty,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__empty2,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update__nonempty,axiom,
% 182.20/182.03 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update__code_I1_J,axiom,
% 182.20/182.03 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osize_I1_J,axiom,
% 182.20/182.03 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_in__set__remove1,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 182.20/182.03 ( V_a_2 != V_b_2
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_notin__set__remove1,axiom,
% 182.20/182.03 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__idem,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__empty,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__remove1__subset,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__greater__0__conv,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__1__Cons,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_not__Nil__listrel1,axiom,
% 182.20/182.03 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_not__listrel1__Nil,axiom,
% 182.20/182.03 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel_ONil,axiom,
% 182.20/182.03 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__Nil__right,axiom,
% 182.20/182.03 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nil__notin__lex,axiom,
% 182.20/182.03 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nil2__notin__lex,axiom,
% 182.20/182.03 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Cons,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_na_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upto_Osimps,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 182.20/182.03 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 182.20/182.03 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__singleton,axiom,
% 182.20/182.03 ! [V_x_2,T_b,V_A_2] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 182.20/182.03 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 182.20/182.03 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lists__empty,axiom,
% 182.20/182.03 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Cons_H,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a,V_n] :
% 182.20/182.03 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 182.20/182.03 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upto__rec__number__of,axiom,
% 182.20/182.03 ! [V_n,V_m] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 182.20/182.03 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 182.20/182.03 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel__Nil,axiom,
% 182.20/182.03 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__Cons__sing__Nil,axiom,
% 182.20/182.03 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__remove1,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upto_Opsimps,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2)))
% 182.20/182.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 182.20/182.03 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 182.20/182.03 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select,axiom,
% 182.20/182.03 ! [V_s_2,T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listset_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__Cons,axiom,
% 182.20/182.03 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osimps_I5_J,axiom,
% 182.20/182.03 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list_Osimps_I4_J,axiom,
% 182.20/182.03 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listset_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__Cons1,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__list__of__set__remove,axiom,
% 182.20/182.03 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upto_Opinduct,axiom,
% 182.20/182.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 182.20/182.03 => ( ! [B_i,B_j] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 182.20/182.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__list__of__set__empty,axiom,
% 182.20/182.03 ! [T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_anamorph_Osimps,axiom,
% 182.20/182.03 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 182.20/182.03 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.03 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 182.20/182.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.03 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__Cons,axiom,
% 182.20/182.03 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append1__eq__conv,axiom,
% 182.20/182.03 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 182.20/182.03 <=> ( V_xs_2 = V_ys_2
% 182.20/182.03 & V_x_2 = V_y_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Cons__eq__append__conv,axiom,
% 182.20/182.03 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 182.20/182.03 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 182.20/182.03 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 182.20/182.03 | ? [B_ys_H] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 182.20/182.03 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__eq__Cons__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 182.20/182.03 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 182.20/182.03 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 182.20/182.03 | ? [B_ys_H] :
% 182.20/182.03 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 182.20/182.03 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Cons__eq__appendI,axiom,
% 182.20/182.03 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 182.20/182.03 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 182.20/182.03 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__Cons,axiom,
% 182.20/182.03 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__in__lists__conv,axiom,
% 182.20/182.03 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 182.20/182.03 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__assoc,axiom,
% 182.20/182.03 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__eq__append__conv2,axiom,
% 182.20/182.03 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 182.20/182.03 <=> ? [B_us] :
% 182.20/182.03 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 182.20/182.03 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 182.20/182.03 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 182.20/182.03 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_same__append__eq,axiom,
% 182.20/182.03 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 182.20/182.03 <=> V_ys_2 = V_zs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__same__eq,axiom,
% 182.20/182.03 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 182.20/182.03 <=> V_ys_2 = V_zs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__eq__appendI,axiom,
% 182.20/182.03 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 182.20/182.03 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 182.20/182.03 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,T_a] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_a)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__append,axiom,
% 182.20/182.03 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 182.20/182.03 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 182.20/182.03 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_eq__Nil__appendI,axiom,
% 182.20/182.03 ! [T_a,V_ys,V_xs] :
% 182.20/182.03 ( V_xs = V_ys
% 182.20/182.03 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__self__conv2,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__self__conv,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 182.20/182.03 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__is__Nil__conv,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 182.20/182.03 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_self__append__conv2,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_ys_2] :
% 182.20/182.03 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_self__append__conv,axiom,
% 182.20/182.03 ! [V_ys_2,T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 182.20/182.03 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__Nil2,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nil__is__append__conv,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 182.20/182.03 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 182.20/182.03 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__Nil,axiom,
% 182.20/182.03 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 182.20/182.03
% 182.20/182.03 fof(fact_butlast__append,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_ys] :
% 182.20/182.03 ( ( V_ys = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 182.20/182.03 & ( V_ys != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__append__length,axiom,
% 182.20/182.03 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__append__length__plus,axiom,
% 182.20/182.03 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update__append1,axiom,
% 182.20/182.03 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update__length,axiom,
% 182.20/182.03 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_in__set__butlast__appendI,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 182.20/182.03 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_butlast__snoc,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__listrel1I,axiom,
% 182.20/182.03 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.03 & V_us_2 = V_vs_2 )
% 182.20/182.03 | ( V_xs_2 = V_ys_2
% 182.20/182.03 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__append__leftI,axiom,
% 182.20/182.03 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 182.20/182.03 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,T_a,V_n] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__update__append,axiom,
% 182.20/182.03 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__append,axiom,
% 182.20/182.03 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel1I,axiom,
% 182.20/182.03 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 182.20/182.03 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 182.20/182.03 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__append__left__rightI,axiom,
% 182.20/182.03 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Suc__conv__app__nth,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 182.20/182.03 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.03 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.03 & V_x_2 = V_y_2 )
% 182.20/182.03 | ( V_xs_2 = V_ys_2
% 182.20/182.03 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listrel1E,axiom,
% 182.20/182.03 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 182.20/182.03 => ~ ! [B_x,B_y] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 182.20/182.03 => ! [B_us,B_vs] :
% 182.20/182.03 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 182.20/182.03 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__append__leftD,axiom,
% 182.20/182.03 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.03 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate1__def,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upd__conv__take__nth__drop,axiom,
% 182.20/182.03 ! [V_a,V_xs,T_a,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__take__drop__id,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__1__Cons,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Suc__Cons,axiom,
% 182.20/182.03 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__via__drop,axiom,
% 182.20/182.03 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct1__rotate,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 182.20/182.03 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__drop,axiom,
% 182.20/182.03 ! [V_i,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__butlast,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_butlast__drop,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__drop,axiom,
% 182.20/182.03 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__take,axiom,
% 182.20/182.03 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__drop,axiom,
% 182.20/182.03 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__0,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__zip,axiom,
% 182.20/182.03 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__drop,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__rotate1,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__rotate1,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_in__set__dropD,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__drop__subset,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate1__is__Nil__conv,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Nil,axiom,
% 182.20/182.03 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__drop__subset__set__drop,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_m_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__all,axiom,
% 182.20/182.03 ! [V_n,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 182.20/182.03 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__eq__Nil,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_na_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__eq__conv__conj,axiom,
% 182.20/182.03 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 182.20/182.03 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 182.20/182.03 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Cons,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_na_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Cons_H,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a,V_n] :
% 182.20/182.03 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 182.20/182.03 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__drop,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_i,V_n] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__eq__append__conv__if,axiom,
% 182.20/182.03 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 182.20/182.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 182.20/182.03 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 182.20/182.03 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 182.20/182.03 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 182.20/182.03 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__drop_H,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__simps,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_b,T_a] :
% 182.20/182.03 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 182.20/182.03 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Cons__number__of,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a,V_v] :
% 182.20/182.03 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 182.20/182.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__add,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate1__length01,axiom,
% 182.20/182.03 ! [V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 182.20/182.03 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__append1,axiom,
% 182.20/182.03 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__append2,axiom,
% 182.20/182.03 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_id__take__nth__drop,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__hd__drop,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_n] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__drop__conv__nth,axiom,
% 182.20/182.03 ! [V_n,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd_Osimps,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__append,axiom,
% 182.20/182.03 ! [V_ys,T_a,V_xs] :
% 182.20/182.03 ( ( V_xs = c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 182.20/182.03 & ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__append2,axiom,
% 182.20/182.03 ! [V_ys,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__in__set,axiom,
% 182.20/182.03 ! [T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__conv__nth,axiom,
% 182.20/182.03 ! [T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate1__hd__tl,axiom,
% 182.20/182.03 ! [T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__rotate__conv__nth,axiom,
% 182.20/182.03 ! [V_n,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl__drop,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__tl,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__rotate,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)))
% 182.20/182.03 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__tl,axiom,
% 182.20/182.03 ! [V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__add,axiom,
% 182.20/182.03 ! [V_na_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_na_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__rotate,axiom,
% 182.20/182.03 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate0,axiom,
% 182.20/182.03 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__rotate,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__rotate,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__is__Nil__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] :
% 182.20/182.03 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate1__rotate__swap,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__def,axiom,
% 182.20/182.03 ! [V_na_2,T_b] : c_List_Orotate(T_b,V_na_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_na_2),c_List_Orotate1(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl__append2,axiom,
% 182.20/182.03 ! [V_ys,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__tl,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__conv__mod,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__Suc,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__Suc,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__id,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_n] :
% 182.20/182.03 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__length01,axiom,
% 182.20/182.03 ! [V_n,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 182.20/182.03 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__tl,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_tl__take,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__Suc,axiom,
% 182.20/182.03 ! [V_n,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__drop__take,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_fold1__set,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 182.20/182.03 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__append__rightI,axiom,
% 182.20/182.03 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 182.20/182.03 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__Nil,axiom,
% 182.20/182.03 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_start__le__sum,axiom,
% 182.20/182.03 ! [V_ns_2,V_na_2,V_m_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_ns_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__absorb0,axiom,
% 182.20/182.03 ! [V_zs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_b)
% 182.20/182.03 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__assoc,axiom,
% 182.20/182.03 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Groups_Osemigroup__add(T_b)
% 182.20/182.03 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__Cons,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__foldl,axiom,
% 182.20/182.03 ! [T_b] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_b)
% 182.20/182.03 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sum__eq__0__conv,axiom,
% 182.20/182.03 ! [V_ns_2,V_m_2] :
% 182.20/182.03 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 & ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 182.20/182.03 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 182.20/182.03 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 182.20/182.03 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Sup__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.03 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Inf__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.03 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Sup__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Lattices_Olattice(T_b)
% 182.20/182.03 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Inf__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Lattices_Olattice(T_b)
% 182.20/182.03 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Min__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Max__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_SUPR__set__fold,axiom,
% 182.20/182.03 ! [V_f_2,V_xs_2,T_c,T_b] :
% 182.20/182.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_INFI__set__fold,axiom,
% 182.20/182.03 ! [V_f_2,V_xs_2,T_c,T_b] :
% 182.20/182.03 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.03 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_elem__le__sum,axiom,
% 182.20/182.03 ! [V_ns_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__list__of__set__insert,axiom,
% 182.20/182.03 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lexord__Nil__left,axiom,
% 182.20/182.03 ! [V_r_2,V_y_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.03 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__key_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__key_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_x_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_fun__left__comm__insort,axiom,
% 182.20/182.03 ! [T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__key__left__comm,axiom,
% 182.20/182.03 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__left__comm,axiom,
% 182.20/182.03 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__not__Nil,axiom,
% 182.20/182.03 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 182.20/182.03 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__insert__insort__key,axiom,
% 182.20/182.03 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 182.20/182.03 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__insert__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__insort__insert,axiom,
% 182.20/182.03 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__insert__triv,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__insort__insert,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__insert__key__triv,axiom,
% 182.20/182.03 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 182.20/182.03 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__list__update,axiom,
% 182.20/182.03 ! [V_x,V_k,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 182.20/182.03 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__conv__nth,axiom,
% 182.20/182.03 ! [T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__ConsL,axiom,
% 182.20/182.03 ! [V_x,T_a,V_xs] :
% 182.20/182.03 ( V_xs = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__ConsR,axiom,
% 182.20/182.03 ! [V_x,T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last_Osimps,axiom,
% 182.20/182.03 ! [V_x,T_a,V_xs] :
% 182.20/182.03 ( ( V_xs = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 182.20/182.03 & ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__appendL,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_ys] :
% 182.20/182.03 ( V_ys = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__appendR,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_ys] :
% 182.20/182.03 ( V_ys != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__append,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_ys] :
% 182.20/182.03 ( ( V_ys = c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 182.20/182.03 & ( V_ys != c_List_Olist_ONil(T_a)
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__in__set,axiom,
% 182.20/182.03 ! [T_b,V_as_2] :
% 182.20/182.03 ( V_as_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__snoc,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__drop,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_n] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.03 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_snoc__eq__iff__butlast,axiom,
% 182.20/182.03 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 182.20/182.03 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 182.20/182.03 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__butlast__last__id,axiom,
% 182.20/182.03 ! [T_a,V_xs] :
% 182.20/182.03 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lists_Osimps,axiom,
% 182.20/182.03 ! [V_A_2,V_a_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 182.20/182.03 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 182.20/182.03 | ? [B_a,B_l] :
% 182.20/182.03 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 182.20/182.03 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 182.20/182.03 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select__weigth__select,axiom,
% 182.20/182.03 ! [T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__mapI,axiom,
% 182.20/182.03 ! [V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.03 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__map,axiom,
% 182.20/182.03 ! [V_f_2,T_c,T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__tl,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_rotate__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(c_List_Orotate(T_b,V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_na_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__map2,axiom,
% 182.20/182.03 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__zip__map2,axiom,
% 182.20/182.03 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__zip__map,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__map1,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__map__map,axiom,
% 182.20/182.03 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__same__conv__map,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nil__is__map__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__is__Nil__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__update,axiom,
% 182.20/182.03 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__eq__conv,axiom,
% 182.20/182.03 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 182.20/182.03 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__eq__imp__length__eq,axiom,
% 182.20/182.03 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__subtractf,axiom,
% 182.20/182.03 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( class_Groups_Oab__group__add(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__0,axiom,
% 182.20/182.03 ! [V_xs_2,T_c,T_b] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__mult__const,axiom,
% 182.20/182.03 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( class_Rings_Osemiring__0(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__const__mult,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 182.20/182.03 ( class_Rings_Osemiring__0(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__addf,axiom,
% 182.20/182.03 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__map__eq__map,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.03 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 182.20/182.03 <=> V_xs_2 = V_ys_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__injective,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 182.20/182.03 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.03 => V_xs_2 = V_ys_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__ident,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__butlast,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__map,axiom,
% 182.20/182.03 ! [V_f_2,T_c,T_b,V_xs_2] :
% 182.20/182.03 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.03 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,V_na_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_na_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_List_Omap_Ocompositionality,axiom,
% 182.20/182.03 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__comp__map,axiom,
% 182.20/182.03 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_List_Omap_Ocomp,axiom,
% 182.20/182.03 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_List_Omap_Oidentity,axiom,
% 182.20/182.03 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__size__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_List_Omap_Oid,axiom,
% 182.20/182.03 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__inj__on,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 182.20/182.03 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 182.20/182.03 => V_xs_2 = V_ys_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__on__map__eq__map,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 182.20/182.03 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 182.20/182.03 <=> V_xs_2 = V_ys_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__map,axiom,
% 182.20/182.03 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_na_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__fun__upd,axiom,
% 182.20/182.03 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 182.20/182.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 182.20/182.03 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__abs,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_uminus__listsum__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( class_Groups_Oab__group__add(T_b)
% 182.20/182.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__on__mapI,axiom,
% 182.20/182.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 182.20/182.03 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__mapD,axiom,
% 182.20/182.03 ! [V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 182.20/182.03 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_inj__map,axiom,
% 182.20/182.03 ! [V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 182.20/182.03 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 182.20/182.03 ! [V_f_2,V_xs_2,T_b,T_c] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__triv,axiom,
% 182.20/182.03 ! [V_xs_2,V_r_2,T_c,T_b] :
% 182.20/182.03 ( class_Rings_Osemiring__1(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__map__remove1,axiom,
% 182.20/182.03 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 182.20/182.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.03 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.03 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_pick__same,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_l_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zero__code__numeral__def,axiom,
% 182.20/182.03 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 182.20/182.03 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_times__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] :
% 182.20/182.03 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 182.20/182.03 <=> V_na_2 = V_m_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_one__code__numeral__def,axiom,
% 182.20/182.03 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_less__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 182.20/182.03 ! [V_y_2,V_x_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.03 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 182.20/182.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__fst__zip,axiom,
% 182.20/182.03 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__snd__zip,axiom,
% 182.20/182.03 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_number__of__code__numeral__def,axiom,
% 182.20/182.03 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__map__fst__snd,axiom,
% 182.20/182.03 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_plus__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_less__eq__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_na_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_pick__member,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_i_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_zip__eq__conv,axiom,
% 182.20/182.03 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 182.20/182.03 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 182.20/182.03 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__size__conv__listsum,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_code__numeral__not__eq__zero,axiom,
% 182.20/182.03 ! [V_i_2] :
% 182.20/182.03 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 182.20/182.03 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select__weight__member,axiom,
% 182.20/182.03 ! [V_s_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select__weight__def,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select__def,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_subtract__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of__of__nat,axiom,
% 182.20/182.03 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 182.20/182.03
% 182.20/182.03 fof(fact_of__nat__nat__of,axiom,
% 182.20/182.03 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of__inverse,axiom,
% 182.20/182.03 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 182.20/182.03
% 182.20/182.03 fof(fact_code__numeral_Onat__of__inject,axiom,
% 182.20/182.03 ! [V_y_2,V_x_2] :
% 182.20/182.03 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 182.20/182.03 <=> V_x_2 = V_y_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 182.20/182.03 ! [V_l_2,V_k_2] :
% 182.20/182.03 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 182.20/182.03 <=> V_k_2 = V_l_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_times__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_type__definition__code__numeral,axiom,
% 182.20/182.03 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_less__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of,axiom,
% 182.20/182.03 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of__number,axiom,
% 182.20/182.03 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_int__of__def,axiom,
% 182.20/182.03 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_less__eq__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_na_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of__code,axiom,
% 182.20/182.03 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nat__of__aux__def,axiom,
% 182.20/182.03 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Suc__code__numeral__def,axiom,
% 182.20/182.03 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_minus__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_of__nat__inverse,axiom,
% 182.20/182.03 ! [V_y_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.03 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_plus__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_div__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_subtract__code__numeral__def,axiom,
% 182.20/182.03 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_minus__code__numeral__code,axiom,
% 182.20/182.03 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_mod__code__numeral__def,axiom,
% 182.20/182.03 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_code__numeral__decr,axiom,
% 182.20/182.03 ! [V_k] :
% 182.20/182.03 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsum__mono,axiom,
% 182.20/182.03 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 182.20/182.03 ( ( class_Groups_Omonoid__add(T_c)
% 182.20/182.03 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 182.20/182.03 => ( ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 182.20/182.03 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition__set,axiom,
% 182.20/182.03 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 182.20/182.03 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 182.20/182.03 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lists__Int__eq,axiom,
% 182.20/182.03 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp_ONil,axiom,
% 182.20/182.03 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp_Oequations_I1_J,axiom,
% 182.20/182.03 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_in__listsp__conv__set,axiom,
% 182.20/182.03 ! [V_xs_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp__conj__eq,axiom,
% 182.20/182.03 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 182.20/182.03 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 182.20/182.03 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp__infI,axiom,
% 182.20/182.03 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 182.20/182.03 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp__inf__eq,axiom,
% 182.20/182.03 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp_Oequations_I2_J,axiom,
% 182.20/182.03 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 182.20/182.03 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_append__in__listsp__conv,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 182.20/182.03 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp__mono,axiom,
% 182.20/182.03 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition__P,axiom,
% 182.20/182.03 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 182.20/182.03 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 182.20/182.03 => ( ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 182.20/182.03 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.03 & ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 182.20/182.03 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_listsp__lists__eq,axiom,
% 182.20/182.03 ! [V_x_2,V_A_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 182.20/182.03 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_lists__IntI,axiom,
% 182.20/182.03 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 182.20/182.03 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_product_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__def,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 & ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__map2,axiom,
% 182.20/182.03 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 182.20/182.03 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__map1,axiom,
% 182.20/182.03 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 182.20/182.03 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__dropI,axiom,
% 182.20/182.03 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_na_2),V_bs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__appendI,axiom,
% 182.20/182.03 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 182.20/182.03 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__append,axiom,
% 182.20/182.03 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 182.20/182.03 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__Cons,axiom,
% 182.20/182.03 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 182.20/182.03 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 182.20/182.03 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__takeI,axiom,
% 182.20/182.03 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_na_2),V_ys_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__eq,axiom,
% 182.20/182.03 ! [T_b,V_ys_2,V_xs_2] :
% 182.20/182.03 ( V_xs_2 = V_ys_2
% 182.20/182.03 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__lengthD,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__Nil2,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 182.20/182.03 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__Nil,axiom,
% 182.20/182.03 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 182.20/182.03 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_product_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__nthD2,axiom,
% 182.20/182.03 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__nthD,axiom,
% 182.20/182.03 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__conv__all__nth,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 182.20/182.03 & ! [B_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__update__cong2,axiom,
% 182.20/182.03 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.03 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2__update__cong,axiom,
% 182.20/182.03 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__product,axiom,
% 182.20/182.03 ! [V_ys,T_b,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_product__list__set,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublists__powset,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__sublists,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublists_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublists_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__set__sublists,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__n__lists,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_na_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_enum__the__def,axiom,
% 182.20/182.03 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__n__lists,axiom,
% 182.20/182.03 ! [V_n,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_n__lists_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_n__lists__Nil,axiom,
% 182.20/182.03 ! [T_a,V_n] :
% 182.20/182.03 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) )
% 182.20/182.03 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__n__lists,axiom,
% 182.20/182.03 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_On__lists(T_a,V_n,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__n__lists__elem,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,V_ys_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))))
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_list__all2I,axiom,
% 182.20/182.03 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.03 ( ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 182.20/182.03 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 182.20/182.03 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_all__nth__imp__all__set,axiom,
% 182.20/182.03 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 182.20/182.03 ( ! [B_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 182.20/182.03 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 182.20/182.03 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__removeAll__inj__on,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__remdups,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__remdups__leq,axiom,
% 182.20/182.03 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__id__iff__distinct,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 182.20/182.03 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__removeAll,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__remdups__id,axiom,
% 182.20/182.03 ! [V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__remdups,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__remdups__eq,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 182.20/182.03 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__remdups,axiom,
% 182.20/182.03 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__eq__nil__right__iff,axiom,
% 182.20/182.03 ! [V_x_2,T_b] :
% 182.20/182.03 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 182.20/182.03 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__eq__nil__iff,axiom,
% 182.20/182.03 ! [V_x_2,T_b] :
% 182.20/182.03 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs,T_a,V_y,V_x] :
% 182.20/182.03 ( ( V_x = V_y
% 182.20/182.03 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) )
% 182.20/182.03 & ( V_x != V_y
% 182.20/182.03 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__map__remdups,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__remdups,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll__id,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__remove1__removeAll,axiom,
% 182.20/182.03 ! [V_x,V_xs,T_a] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.03 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__remdups__card__conv,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__removeAll__inj,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.03 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__removeAll,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__remdups__concat,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__conv__foldl,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sort__key__simps_I1_J,axiom,
% 182.20/182.03 ! [V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__conv__concat,axiom,
% 182.20/182.03 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__sort,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__sort,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__sort,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 182.20/182.03 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_Nil__eq__concat__conv,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] :
% 182.20/182.03 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 182.20/182.03 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__eq__Nil__conv,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] :
% 182.20/182.03 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 182.20/182.03 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__concat,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__concat,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__concat,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sort__key__simps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__append,axiom,
% 182.20/182.03 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sort__foldl__insort,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__injective,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 182.20/182.03 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 182.20/182.03 => ( ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 182.20/182.03 => V_xs_2 = V_ys_2 ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__eq__concat__iff,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.03 ( ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 182.20/182.03 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 182.20/182.03 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 182.20/182.03 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_concat__map__singleton,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_n__lists_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,V_na_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_na_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_na_2,V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Osimps_I3_J,axiom,
% 182.20/182.03 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__aux__filter__head,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__concat,axiom,
% 182.20/182.03 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__sort,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__filter,axiom,
% 182.20/182.03 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sum__length__filter__compl,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__is__subset,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__id__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.03 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__filter__le,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition__filter__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition__filter2,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_partition__filter1,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__filter,axiom,
% 182.20/182.03 ! [V_xs_2,V_Q_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_Pa_2)),V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remove1__filter__not,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.03 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__remove1,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__insort__triv,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Osimps_I1_J,axiom,
% 182.20/182.03 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.03 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__append,axiom,
% 182.20/182.03 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__empty__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.03 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__filter__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll__filter__not__eq,axiom,
% 182.20/182.03 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_removeAll__filter__not,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.03 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_remdups__filter,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__transpose,axiom,
% 182.20/182.03 ! [V_xs_2,T_b,V_i_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__map__map,axiom,
% 182.20/182.03 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__filter,axiom,
% 182.20/182.03 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__filter__less,axiom,
% 182.20/182.03 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__minus__filter__out,axiom,
% 182.20/182.03 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_filter__in__sublist,axiom,
% 182.20/182.03 ! [V_s_2,V_xs_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.03 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__empty,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 182.20/182.03 <=> ! [B_x] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.03 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__filter__conv__card,axiom,
% 182.20/182.03 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__aux__filter__tail,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Opsimps_I3_J,axiom,
% 182.20/182.03 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 182.20/182.03 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Opsimps_I2_J,axiom,
% 182.20/182.03 ! [V_xss_2,T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 182.20/182.03 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__shift__lemma__Suc,axiom,
% 182.20/182.03 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_select__weigth__drop__zero,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_pick__drop__zero,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose_Opsimps_I1_J,axiom,
% 182.20/182.03 ! [T_b] :
% 182.20/182.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 182.20/182.03 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__max__length,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__aux__max,axiom,
% 182.20/182.03 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldr_Osimps_I1_J,axiom,
% 182.20/182.03 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldr_Osimps_I2_J,axiom,
% 182.20/182.03 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldr__append,axiom,
% 182.20/182.03 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldr__conv__foldl,axiom,
% 182.20/182.03 ! [V_a_2,V_xs_2,T_b] :
% 182.20/182.03 ( class_Groups_Oab__semigroup__add(T_b)
% 182.20/182.03 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldr__map,axiom,
% 182.20/182.03 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__foldr1__lemma,axiom,
% 182.20/182.03 ! [V_xs_2,V_a_2,T_b] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_foldl__foldr1,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Groups_Omonoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__transpose,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__def,axiom,
% 182.20/182.03 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sublist__shift__lemma,axiom,
% 182.20/182.03 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_set__upt,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_atLeastLessThan__upt,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__Suc__append,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__Suc,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__add__eq__append,axiom,
% 182.20/182.03 ! [V_k,V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__rec,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__conv__Cons,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__conv__Nil,axiom,
% 182.20/182.03 ! [V_i,V_j] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 182.20/182.03 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__eq__Nil__conv,axiom,
% 182.20/182.03 ! [V_j_2,V_i_2] :
% 182.20/182.03 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 182.20/182.03 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__0,axiom,
% 182.20/182.03 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_take__upt,axiom,
% 182.20/182.03 ! [V_n,V_m,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 182.20/182.03 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__list__of__set__range,axiom,
% 182.20/182.03 ! [V_na_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_na_2)) = c_List_Oupt(V_m_2,V_na_2) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_hd__upt,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_drop__upt,axiom,
% 182.20/182.03 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_distinct__upt,axiom,
% 182.20/182.03 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_length__upt,axiom,
% 182.20/182.03 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__rec__number__of,axiom,
% 182.20/182.03 ! [V_n,V_m] :
% 182.20/182.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 182.20/182.03 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 182.20/182.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 182.20/182.03 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_upt__eq__Cons__conv,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 182.20/182.03 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 182.20/182.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 182.20/182.03 & V_i_2 = V_x_2
% 182.20/182.03 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_last__upt,axiom,
% 182.20/182.03 ! [V_j,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 182.20/182.03 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__Suc__upt,axiom,
% 182.20/182.03 ! [V_na_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_na_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_na_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_atLeastAtMost__upt,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_na_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_atLeast__upt,axiom,
% 182.20/182.03 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__upt,axiom,
% 182.20/182.03 ! [V_j,V_k,V_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_greaterThanAtMost__upt,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_greaterThanLessThan__upt,axiom,
% 182.20/182.03 ! [V_m_2,V_na_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_na_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_na_2),V_m_2)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_atMost__upto,axiom,
% 182.20/182.03 ! [V_na_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_na_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2))) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_map__nth,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 182.20/182.03
% 182.20/182.03 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 182.20/182.03 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 182.20/182.03 ! [V_na_2,V_m_2,V_f_2,T_b] :
% 182.20/182.03 ( class_Groups_Ocomm__monoid__add(T_b)
% 182.20/182.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_na_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_nth__map__upt,axiom,
% 182.20/182.03 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_na_2),V_m_2)))
% 182.20/182.03 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_na_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_transpose__rectangle,axiom,
% 182.20/182.03 ! [V_na_2,T_b,V_xs_2] :
% 182.20/182.03 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 182.20/182.03 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/182.03 => ( ! [B_i] :
% 182.20/182.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.03 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_na_2 )
% 182.20/182.03 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_na_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_insort__key__remove1,axiom,
% 182.20/182.03 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_c)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 182.20/182.03 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 182.20/182.03 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted_ONil,axiom,
% 182.20/182.03 ! [T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__single,axiom,
% 182.20/182.03 ! [V_x,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__upt,axiom,
% 182.20/182.03 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__sort,axiom,
% 182.20/182.03 ! [V_xs_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__insort__insert,axiom,
% 182.20/182.03 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__drop,axiom,
% 182.20/182.03 ! [V_n,V_xs,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__upto,axiom,
% 182.20/182.03 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__take,axiom,
% 182.20/182.03 ! [V_n,V_xs,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__remove1,axiom,
% 182.20/182.03 ! [V_a,V_xs,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__tl,axiom,
% 182.20/182.03 ! [V_xs,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__insort,axiom,
% 182.20/182.03 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 182.20/182.03 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__butlast,axiom,
% 182.20/182.03 ! [V_xs,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted_Oequations_I1_J,axiom,
% 182.20/182.03 ! [T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__many__eq,axiom,
% 182.20/182.03 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_b)
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 182.20/182.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 182.20/182.03 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__many,axiom,
% 182.20/182.03 ! [V_zs,V_y,V_x,T_a] :
% 182.20/182.03 ( class_Orderings_Olinorder(T_a)
% 182.20/182.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 182.20/182.03 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 182.20/182.03 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 182.20/182.03
% 182.20/182.03 fof(fact_sorted__remdups,axiom,
% 182.20/182.04 ! [V_l,T_a] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_a)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__distinct__set__unique,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 182.20/182.04 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 182.20/182.04 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 182.20/182.04 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__sort__key,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__insort__insert__key,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__map__remove1,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__insort__key,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 182.20/182.04 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__map__same,axiom,
% 182.20/182.04 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__filter,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__same,axiom,
% 182.20/182.04 ! [V_xs_2,V_g_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__Cons,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 182.20/182.04 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 & ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__append,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 182.20/182.04 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 182.20/182.04 & ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => ! [B_xa] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_filter__insort,axiom,
% 182.20/182.04 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 182.20/182.04 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted_Oequations_I2_J,axiom,
% 182.20/182.04 ! [V_a1_2,V_a2_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 182.20/182.04 <=> ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__list__of__set,axiom,
% 182.20/182.04 ! [V_A_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 182.20/182.04 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_insort__remove1,axiom,
% 182.20/182.04 ! [V_xs_2,V_a_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__nth__mono,axiom,
% 182.20/182.04 ! [V_j,V_i,V_xs,T_a] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_a)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__equals__nth__mono,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 <=> ! [B_j] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ! [B_i] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_map__sorted__distinct__set__unique,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_c)
% 182.20/182.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 182.20/182.04 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 182.20/182.04 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 182.20/182.04 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 182.20/182.04 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transpose__column,axiom,
% 182.20/182.04 ! [V_i_2,V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nth__nth__transpose__sorted,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 182.20/182.04 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__on__rev,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_distinct__rev,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 182.20/182.04 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev_Osimps_I1_J,axiom,
% 182.20/182.04 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Nil__is__rev__conv,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 182.20/182.04 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__is__Nil__conv,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.04 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__singleton__conv,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 182.20/182.04 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_singleton__rev__conv,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 182.20/182.04 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__append,axiom,
% 182.20/182.04 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__concat,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__map,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__filter,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_zip__rev,axiom,
% 182.20/182.04 ! [V_ys,T_b,V_xs,T_a] :
% 182.20/182.04 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 182.20/182.04 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_set__rev,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all2__rev1,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.04 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 182.20/182.04 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all2__rev,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 182.20/182.04 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 182.20/182.04 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__is__rev__conv,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 182.20/182.04 <=> V_xs_2 = V_ys_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__swap,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 182.20/182.04 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__rev__ident,axiom,
% 182.20/182.04 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 182.20/182.04
% 182.20/182.04 fof(fact_listsum__rev,axiom,
% 182.20/182.04 ! [V_xs,T_a] :
% 182.20/182.04 ( class_Groups_Ocomm__monoid__add(T_a)
% 182.20/182.04 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__rev,axiom,
% 182.20/182.04 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_foldr__foldl,axiom,
% 182.20/182.04 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_foldl__foldr,axiom,
% 182.20/182.04 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__eq__Cons__iff,axiom,
% 182.20/182.04 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 182.20/182.04 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_last__rev,axiom,
% 182.20/182.04 ! [T_a,V_xs] :
% 182.20/182.04 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.04 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_hd__rev,axiom,
% 182.20/182.04 ! [T_a,V_xs] :
% 182.20/182.04 ( V_xs != c_List_Olist_ONil(T_a)
% 182.20/182.04 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__transpose,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__foldl__cons,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__take,axiom,
% 182.20/182.04 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__drop,axiom,
% 182.20/182.04 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rotate__rev,axiom,
% 182.20/182.04 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__nth,axiom,
% 182.20/182.04 ! [V_xs,T_a,V_n] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.04 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__update,axiom,
% 182.20/182.04 ! [V_y,V_xs,T_a,V_k] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.04 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__rev__nth__mono,axiom,
% 182.20/182.04 ! [V_j,V_i,V_xs,T_a] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_a)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_foldr__max__sorted,axiom,
% 182.20/182.04 ! [V_y_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 182.20/182.04 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 182.20/182.04 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 182.20/182.04 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.04 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__transpose__sorted,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 182.20/182.04 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 182.20/182.04 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 182.20/182.04 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transpose__column__length,axiom,
% 182.20/182.04 ! [V_i_2,V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transpose__transpose,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 182.20/182.04 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 182.20/182.04 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__takeWhile,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__takeWhile__le,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__eq__all__conv,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_set__takeWhileD,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_zip__takeWhile__snd,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_zip__takeWhile__fst,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__map,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__tail,axiom,
% 182.20/182.04 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.04 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.04 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__eq__take,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_distinct__takeWhile,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_return__list__def,axiom,
% 182.20/182.04 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__append1,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nth__length__takeWhile,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__nth,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 182.20/182.04 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__not__last,axiom,
% 182.20/182.04 ! [T_b,V_xs_2] :
% 182.20/182.04 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 182.20/182.04 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 182.20/182.04 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 182.20/182.04 ! [V_l] :
% 182.20/182.04 ( c_List_Onat__list(V_l)
% 182.20/182.04 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 182.20/182.04 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_embed__list__def,axiom,
% 182.20/182.04 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__neq__rev,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__neq__rev,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__dropWhile__id,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__dropWhile,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__dropWhile__le,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.04 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_distinct__dropWhile,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 182.20/182.04 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_hd__dropWhile,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__map,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__append1,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 182.20/182.04 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 182.20/182.04 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 182.20/182.04 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__eq__drop,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__nth,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 182.20/182.04 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_listsum__map__filter,axiom,
% 182.20/182.04 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 182.20/182.04 ( class_Groups_Omonoid__add(T_c)
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 182.20/182.04 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted__nth__monoI,axiom,
% 182.20/182.04 ! [V_xs,T_a] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_a)
% 182.20/182.04 => ( ! [B_i,B_j] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) )
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__eq__filter,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 182.20/182.04 ( ! [B_i] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 182.20/182.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) )
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__takeWhile__less__P__nth,axiom,
% 182.20/182.04 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 182.20/182.04 ( ! [B_i] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted_Osimps,axiom,
% 182.20/182.04 ! [V_a_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 182.20/182.04 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 182.20/182.04 | ? [B_xs,B_x] :
% 182.20/182.04 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 182.20/182.04 & ! [B_xa] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_not__in__set__insert,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_List_Oinsert__def,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 182.20/182.04 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_insert__remdups,axiom,
% 182.20/182.04 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_distinct__insert,axiom,
% 182.20/182.04 ! [V_x,V_xs,T_a] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 182.20/182.04 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__insert,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_List_Oset__insert,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_insert__Nil,axiom,
% 182.20/182.04 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_concat__map__maps,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_maps__def,axiom,
% 182.20/182.04 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_maps__simps_I2_J,axiom,
% 182.20/182.04 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_maps__simps_I1_J,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_distinct__concat,axiom,
% 182.20/182.04 ! [V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 182.20/182.04 => ( ! [B_ys] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 182.20/182.04 => ( ! [B_ys] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ! [B_zs] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ( B_ys != B_zs
% 182.20/182.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 182.20/182.04 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measures__lesseq,axiom,
% 182.20/182.04 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_wf__measures,axiom,
% 182.20/182.04 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__measures_I1_J,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measures__def,axiom,
% 182.20/182.04 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measures__less,axiom,
% 182.20/182.04 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__measures_I2_J,axiom,
% 182.20/182.04 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 182.20/182.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 182.20/182.04 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 182.20/182.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_foldl__apply,axiom,
% 182.20/182.04 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 182.20/182.04 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_order__fun_I2_J,axiom,
% 182.20/182.04 ! [V_g_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( ( class_Orderings_Oorder(T_c)
% 182.20/182.04 & class_Enum_Oenum(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 182.20/182.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 182.20/182.04 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_enum__ex__prod__def,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b,T_c] :
% 182.20/182.04 ( ( class_Enum_Oenum(T_c)
% 182.20/182.04 & class_Enum_Oenum(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 182.20/182.04 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_exists__code,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ( class_Enum_Oenum(T_b)
% 182.20/182.04 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 182.20/182.04 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_enum__ex,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ( class_Enum_Oenum(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 182.20/182.04 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_zip__obtain__same__length,axiom,
% 182.20/182.04 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 182.20/182.04 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__not__random__dseq__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dropWhile__append2,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all2__all__nthI,axiom,
% 182.20/182.04 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 182.20/182.04 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 182.20/182.04 => ( ! [B_n] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 182.20/182.04 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_finite__sorted__distinct__unique,axiom,
% 182.20/182.04 ! [V_A_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 => ? [B_x] :
% 182.20/182.04 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 182.20/182.04 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 182.20/182.04 & ! [B_y] :
% 182.20/182.04 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 182.20/182.04 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 182.20/182.04 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 182.20/182.04 => B_y = B_x ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_takeWhile__append2,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_insort__is__Cons,axiom,
% 182.20/182.04 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_c)
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 182.20/182.04 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_filter__eq__Cons__iff,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 182.20/182.04 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 182.20/182.04 <=> ? [B_us,B_vs] :
% 182.20/182.04 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 182.20/182.04 & ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Cons__eq__filter__iff,axiom,
% 182.20/182.04 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 182.20/182.04 <=> ? [B_us,B_vs] :
% 182.20/182.04 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 182.20/182.04 & ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 182.20/182.04 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_order__fun_I1_J,axiom,
% 182.20/182.04 ! [V_g_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( ( class_Orderings_Oorder(T_c)
% 182.20/182.04 & class_Enum_Oenum(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 182.20/182.04 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_enum__all,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ( class_Enum_Oenum(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 182.20/182.04 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_all__code,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ( class_Enum_Oenum(T_b)
% 182.20/182.04 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 182.20/182.04 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_enum__all__prod__def,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b,T_c] :
% 182.20/182.04 ( ( class_Enum_Oenum(T_c)
% 182.20/182.04 & class_Enum_Oenum(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 182.20/182.04 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ball__nth,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b,V_na_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sorted_OCons,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.04 ( class_Orderings_Olinorder(T_b)
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 182.20/182.04 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 182.20/182.04 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__length,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ? [B_n] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__conv__decomp__first,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 <=> ? [B_ys] :
% 182.20/182.04 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__simps_I2_J,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__append,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 182.20/182.04 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__iff,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__rev,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 182.20/182.04 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__simps_I1_J,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 182.20/182.04 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__conv__decomp,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__conv__decomp__last,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 <=> ? [B_ys,B_zs] :
% 182.20/182.04 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__length,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ! [B_n] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measure__function__int,axiom,
% 182.20/182.04 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__simps_I2_J,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__append,axiom,
% 182.20/182.04 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 182.20/182.04 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measure__size,axiom,
% 182.20/182.04 ! [T_b] :
% 182.20/182.04 ( class_Nat_Osize(T_b)
% 182.20/182.04 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_is__measure_Ointros,axiom,
% 182.20/182.04 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_is__measure_Oequations,axiom,
% 182.20/182.04 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_is__measure_Osimps,axiom,
% 182.20/182.04 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__iff,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measure__fst,axiom,
% 182.20/182.04 ! [T_c,V_f_2,T_b] :
% 182.20/182.04 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 182.20/182.04 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_measure__snd,axiom,
% 182.20/182.04 ! [T_c,V_f_2,T_b] :
% 182.20/182.04 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 182.20/182.04 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__rev,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 182.20/182.04 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__simps_I1_J,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 182.20/182.04 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Ball__set__list__all,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__iff__raw,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex1__simps_I2_J,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 182.20/182.04 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transfer__morphism__int__nat,axiom,
% 182.20/182.04 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex1__simps_I1_J,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bool_Osize_I4_J,axiom,
% 182.20/182.04 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bool_Osize_I3_J,axiom,
% 182.20/182.04 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex1__iff,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.04 & ! [B_y] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 182.20/182.04 => B_y = B_x ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 182.20/182.04 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 182.20/182.04 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.04 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 182.20/182.04 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.04 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 182.20/182.04 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 182.20/182.04 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.04 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 182.20/182.04 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 182.20/182.04 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 182.20/182.04 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 182.20/182.04 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__empty__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_neg__bind__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 182.20/182.04 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_neg__map__def,axiom,
% 182.20/182.04 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_neg__single__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__bind__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 182.20/182.04 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__map__def,axiom,
% 182.20/182.04 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__single__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__splice,axiom,
% 182.20/182.04 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_splice_Osimps_I3_J,axiom,
% 182.20/182.04 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_splice__Nil2,axiom,
% 182.20/182.04 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 182.20/182.04
% 182.20/182.04 fof(fact_splice_Osimps_I1_J,axiom,
% 182.20/182.04 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 182.20/182.04
% 182.20/182.04 fof(fact_splice_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__single__def,axiom,
% 182.20/182.04 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_acyclicP__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 182.20/182.04 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_converse__meet,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_converse__join,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_converse__pred__comp,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep__eq,axiom,
% 182.20/182.04 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep__conversep,axiom,
% 182.20/182.04 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep__iff,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep_Oequations,axiom,
% 182.20/182.04 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep_Ointros,axiom,
% 182.20/182.04 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversepD,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep__noteq,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 182.20/182.04 <=> V_x_2 != V_y_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_conversep__converse__eq,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_,axiom,
% 182.20/182.04 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_tl__replicate,axiom,
% 182.20/182.04 ! [V_x,T_a,V_n] :
% 182.20/182.04 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__length__filter,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_length__replicate,axiom,
% 182.20/182.04 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 182.20/182.04
% 182.20/182.04 fof(fact_map__replicate__const,axiom,
% 182.20/182.04 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__app__Cons__same,axiom,
% 182.20/182.04 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__Suc,axiom,
% 182.20/182.04 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rev__replicate,axiom,
% 182.20/182.04 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_drop__replicate,axiom,
% 182.20/182.04 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_hd__replicate,axiom,
% 182.20/182.04 ! [V_x,T_a,V_n] :
% 182.20/182.04 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_last__replicate,axiom,
% 182.20/182.04 ! [V_x,T_a,V_n] :
% 182.20/182.04 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_take__replicate,axiom,
% 182.20/182.04 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_zip__replicate,axiom,
% 182.20/182.04 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Ball__set__replicate,axiom,
% 182.20/182.04 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 182.20/182.04 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Bex__set__replicate,axiom,
% 182.20/182.04 ! [V_Pa_2,V_a_2,V_na_2,T_b] :
% 182.20/182.04 ( ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_a_2))))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 182.20/182.04 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__eq__replicate,axiom,
% 182.20/182.04 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] :
% 182.20/182.04 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2)
% 182.20/182.04 <=> ( V_m_2 = V_na_2
% 182.20/182.04 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => V_x_2 = V_y_2 ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nth__replicate,axiom,
% 182.20/182.04 ! [V_x,T_a,V_n,V_i] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 182.20/182.04 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__add,axiom,
% 182.20/182.04 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_append__replicate__commute,axiom,
% 182.20/182.04 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_filter__replicate,axiom,
% 182.20/182.04 ! [V_na_2,T_b,V_x_2,V_Pa_2] :
% 182.20/182.04 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,V_x_2) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 182.20/182.04 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_concat__replicate__trivial,axiom,
% 182.20/182.04 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__empty,axiom,
% 182.20/182.04 ! [V_x_2,V_na_2,T_b] :
% 182.20/182.04 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b)
% 182.20/182.04 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_empty__replicate,axiom,
% 182.20/182.04 ! [V_x_2,V_na_2,T_b] :
% 182.20/182.04 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2)
% 182.20/182.04 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__0,axiom,
% 182.20/182.04 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_map__replicate,axiom,
% 182.20/182.04 ! [V_x_2,V_na_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_na_2,V_x_2)) = c_List_Oreplicate(T_b,V_na_2,hAPP(V_f_2,V_x_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__replicate,axiom,
% 182.20/182.04 ! [V_y_2,V_na_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_y_2))))
% 182.20/182.04 <=> ( V_x_2 = V_y_2
% 182.20/182.04 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_replicate__append__same,axiom,
% 182.20/182.04 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_map__replicate__trivial,axiom,
% 182.20/182.04 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_set__replicate,axiom,
% 182.20/182.04 ! [V_x_2,T_b,V_na_2] :
% 182.20/182.04 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_set__replicate__conv__if,axiom,
% 182.20/182.04 ! [V_x_2,T_b,V_na_2] :
% 182.20/182.04 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 182.20/182.04 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_na_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_set__replicate__Suc,axiom,
% 182.20/182.04 ! [V_x_2,V_na_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_na_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy__list_Osimps,axiom,
% 182.20/182.04 ! [V_d_2,T_b] :
% 182.20/182.04 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_eq__comp__r,axiom,
% 182.20/182.04 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy__prod__def,axiom,
% 182.20/182.04 ! [V_d,T_b,T_a] :
% 182.20/182.04 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 182.20/182.04 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__union__def,axiom,
% 182.20/182.04 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_field__le__epsilon,axiom,
% 182.20/182.04 ! [V_y,V_x,T_a] :
% 182.20/182.04 ( class_Fields_Olinordered__field(T_a)
% 182.20/182.04 => ( ! [B_e] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pos__union__def,axiom,
% 182.20/182.04 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy_H_Osimps,axiom,
% 182.20/182.04 ! [V_i,V_d] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy__int__def,axiom,
% 182.20/182.04 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy_H_Opsimps,axiom,
% 182.20/182.04 ! [V_i_2,V_d_2] :
% 182.20/182.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 182.20/182.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 182.20/182.04 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__01,axiom,
% 182.20/182.04 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Oinject,axiom,
% 182.20/182.04 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 182.20/182.04 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 182.20/182.04 <=> ( V_a_2 = V_a_H_2
% 182.20/182.04 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_small__lazy_H_Opinduct,axiom,
% 182.20/182.04 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 182.20/182.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 182.20/182.04 => ( ! [B_d,B_i] :
% 182.20/182.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 182.20/182.04 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_size__code,axiom,
% 182.20/182.04 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence__size__code,axiom,
% 182.20/182.04 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_seq__case,axiom,
% 182.20/182.04 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_yieldn__def,axiom,
% 182.20/182.04 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_refl__on__INTER,axiom,
% 182.20/182.04 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 182.20/182.04 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 182.20/182.04 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_List_Omember__def,axiom,
% 182.20/182.04 ! [V_x_2,V_xs_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_member__rec_I1_J,axiom,
% 182.20/182.04 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 182.20/182.04 <=> ( V_x_2 = V_y_2
% 182.20/182.04 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_member__set,axiom,
% 182.20/182.04 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_member__rec_I2_J,axiom,
% 182.20/182.04 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__set__member,axiom,
% 182.20/182.04 ! [V_xs_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pair__box_Osize_I1_J,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex1__iff__raw,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.04 & ! [B_y] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 182.20/182.04 => B_y = B_x ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pair__box_Osize_I2_J,axiom,
% 182.20/182.04 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pair__box_Oinject,axiom,
% 182.20/182.04 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 182.20/182.04 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 182.20/182.04 <=> ( V_a_2 = V_a_H_2
% 182.20/182.04 & V_b_2 = V_b_H_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pair__box_Orecs,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_pair__box_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_THE__default__def,axiom,
% 182.20/182.04 ! [V_d_2,T_b,V_Pa_2] :
% 182.20/182.04 ( ( ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.04 & ! [B_y] :
% 182.20/182.04 ( hBOOL(hAPP(V_Pa_2,B_y))
% 182.20/182.04 => B_y = B_x ) )
% 182.20/182.04 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 182.20/182.04 & ( ~ ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 182.20/182.04 & ! [B_y] :
% 182.20/182.04 ( hBOOL(hAPP(V_Pa_2,B_y))
% 182.20/182.04 => B_y = B_x ) )
% 182.20/182.04 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_setsum__UNION__zero,axiom,
% 182.20/182.04 ! [V_f_2,V_S_2,T_b,T_c] :
% 182.20/182.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 182.20/182.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 182.20/182.04 => ( ! [B_T1] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 182.20/182.04 => ! [B_T2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 182.20/182.04 => ( B_T1 != B_T2
% 182.20/182.04 => ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 182.20/182.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 182.20/182.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_INF2__I,axiom,
% 182.20/182.04 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_SUP2__E,axiom,
% 182.20/182.04 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 182.20/182.04 => ~ ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.04 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_finite__maxlen,axiom,
% 182.20/182.04 ! [V_M_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 182.20/182.04 => ? [B_n] :
% 182.20/182.04 ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 182.20/182.04 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__02,axiom,
% 182.20/182.04 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 182.20/182.04 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 182.20/182.04 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__iff__all__interval__int,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 182.20/182.04 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 182.20/182.04 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_all__interval__int__def,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 182.20/182.04 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Random_Osimps,axiom,
% 182.20/182.04 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 182.20/182.04 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 182.20/182.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 182.20/182.04 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 182.20/182.04 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Random__Sequence_Oempty__def,axiom,
% 182.20/182.04 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Random__Sequence_Osingle__def,axiom,
% 182.20/182.04 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Random__Sequence_Omap__def,axiom,
% 182.20/182.04 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_exE__realizer,axiom,
% 182.20/182.04 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 182.20/182.04 => ( ! [B_x,B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 182.20/182.04 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 182.20/182.04 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Image__Collect__split,axiom,
% 182.20/182.04 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lexord__trans,axiom,
% 182.20/182.04 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 182.20/182.04 => ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__less__than,axiom,
% 182.20/182.04 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__lex__prod,axiom,
% 182.20/182.04 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_R1_2)
% 182.20/182.04 => ( c_Relation_Otrans(T_c,V_R2_2)
% 182.20/182.04 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transD,axiom,
% 182.20/182.04 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__def,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 <=> ! [B_x,B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 182.20/182.04 => ! [B_z] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__rtrancl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__trancl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trancl__id,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__Id__on,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__Id,axiom,
% 182.20/182.04 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__finite__psubset,axiom,
% 182.20/182.04 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lexord__transI,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.04 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bex__empty,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ~ ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_listrel__trans,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_finite__Collect__bex,axiom,
% 182.20/182.04 ! [V_Q_2,T_c,V_A_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2)))))
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bex__UNIV,axiom,
% 182.20/182.04 ! [V_Pa_2,T_b] :
% 182.20/182.04 ( ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__Int,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Otrans(T_b,V_s_2)
% 182.20/182.04 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_SUPR__bool__eq,axiom,
% 182.20/182.04 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__O__subset,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__inv__image,axiom,
% 182.20/182.04 ! [V_f_2,T_c,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__reflclI,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Union__eq,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__iff__raw,axiom,
% 182.20/182.04 ! [V_xs_2,V_Pa_2,T_b] :
% 182.20/182.04 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 182.20/182.04 <=> ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Bex__set__list__ex,axiom,
% 182.20/182.04 ! [V_Pa_2,V_xs_2,T_b] :
% 182.20/182.04 ( ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_UN__eq,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_INT__eq,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Sup__fun__def,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/182.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.04 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Sup__apply,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/182.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.04 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Inf__fun__def,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/182.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.04 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Inf__apply,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,T_c,T_b] :
% 182.20/182.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 182.20/182.04 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_max__extp_Ointros,axiom,
% 182.20/182.04 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 182.20/182.04 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 182.20/182.04 => ? [B_xa] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 182.20/182.04 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 182.20/182.04 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transp__def,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Predicate_Otransp(T_b,V_r_2)
% 182.20/182.04 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_transpE,axiom,
% 182.20/182.04 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Predicate_Otransp(T_b,V_r_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivp__reflp__symp__transp,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 182.20/182.04 & c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivpI,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Predicate_Oreflp(T_b,V_R_2)
% 182.20/182.04 => ( c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 => ( c_Predicate_Otransp(T_b,V_R_2)
% 182.20/182.04 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sympE,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Predicate_Osymp(T_b,V_r_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivpE,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 182.20/182.04 => ( c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_max__extp_Osimps,axiom,
% 182.20/182.04 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 182.20/182.04 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 182.20/182.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 182.20/182.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 182.20/182.04 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 & ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 182.20/182.04 => ? [B_xa] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 182.20/182.04 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_trans__diff__Id,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Oantisym(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.04 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__empty,axiom,
% 182.20/182.04 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__Id,axiom,
% 182.20/182.04 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__subset,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 182.20/182.04 => ( c_Relation_Oantisym(T_b,V_s_2)
% 182.20/182.04 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__Id__on,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisymD,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Oantisym(T_b,V_r_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 182.20/182.04 => V_a_2 = V_b_2 ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__def,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Oantisym(T_b,V_r_2)
% 182.20/182.04 <=> ! [B_x,B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 182.20/182.04 => B_x = B_y ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_antisym__reflcl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 182.20/182.04 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_fun__lub__def,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__trans__comp__subset,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_symD,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__def,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 <=> ! [B_x,B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Int__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__rtrancl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__trancl,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Id__on,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Un,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Osym(T_b,V_s_2)
% 182.20/182.04 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Id,axiom,
% 182.20/182.04 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 182.20/182.04 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__conv__converse__eq,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_listrel__sym,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Int,axiom,
% 182.20/182.04 ! [V_s_2,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Osym(T_b,V_s_2)
% 182.20/182.04 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__Un__converse,axiom,
% 182.20/182.04 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_sym__inv__image,axiom,
% 182.20/182.04 ! [V_f_2,T_c,V_r_2,T_b] :
% 182.20/182.04 ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivE,axiom,
% 182.20/182.04 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.04 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.04 => ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivI,axiom,
% 182.20/182.04 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.04 => ( c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 => ( c_Relation_Otrans(T_b,V_r_2)
% 182.20/182.04 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equiv__def,axiom,
% 182.20/182.04 ! [V_r_2,V_A_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 182.20/182.04 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 182.20/182.04 & c_Relation_Osym(T_b,V_r_2)
% 182.20/182.04 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_symp__def,axiom,
% 182.20/182.04 ! [V_r_2,T_b] :
% 182.20/182.04 ( c_Predicate_Osymp(T_b,V_r_2)
% 182.20/182.04 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivp__refl__symp__transp,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 182.20/182.04 & c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivpI,axiom,
% 182.20/182.04 ! [T_b,V_R_2] :
% 182.20/182.04 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 182.20/182.04 => ( c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 => ( c_Predicate_Otransp(T_b,V_R_2)
% 182.20/182.04 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivp__def,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 182.20/182.04 & ! [B_x,B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 182.20/182.04 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 182.20/182.04 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 182.20/182.04 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivp__symp,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivp__transp,axiom,
% 182.20/182.04 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_equivp__implies__part__equivp,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivpE,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 182.20/182.04 => ( c_Predicate_Osymp(T_b,V_R_2)
% 182.20/182.04 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_part__equivp__typedef,axiom,
% 182.20/182.04 ! [V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 182.20/182.04 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__iff,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__o__cancel,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__def,axiom,
% 182.20/182.04 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__def,axiom,
% 182.20/182.04 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__id,axiom,
% 182.20/182.04 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__f__eq,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__f__f,axiom,
% 182.20/182.04 ! [V_x_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__f__eq,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.04 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__f__f,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_f__inv__into__f,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 182.20/182.04 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__into,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__injective,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 182.20/182.04 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 182.20/182.04 => V_x_2 = V_y_2 ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_image__surj__f__inv__f,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_surj__f__inv__f,axiom,
% 182.20/182.04 ! [V_y_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_surj__iff__all,axiom,
% 182.20/182.04 ! [V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_image__inv__into__cancel,axiom,
% 182.20/182.04 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_surj__imp__inj__inv,axiom,
% 182.20/182.04 ! [V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__image__comp,axiom,
% 182.20/182.04 ! [V_X_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_image__inv__f__f,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__imp__surj__inv,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__on__inv__into,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 182.20/182.04 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__image__cancel,axiom,
% 182.20/182.04 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_o__inv__o__cancel,axiom,
% 182.20/182.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__comp,axiom,
% 182.20/182.04 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 182.20/182.04 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_surj__iff,axiom,
% 182.20/182.04 ! [V_f_2,T_b,T_c] :
% 182.20/182.04 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__transfer,axiom,
% 182.20/182.04 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => ( ! [B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_fold__image__UN__disjoint,axiom,
% 182.20/182.04 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 182.20/182.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 182.20/182.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 182.20/182.04 => ! [B_xa] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 182.20/182.04 => ( B_x != B_xa
% 182.20/182.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 182.20/182.04 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nat__of__induct,axiom,
% 182.20/182.04 ! [V_Pa_2,V_y_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.04 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nat__of__cases,axiom,
% 182.20/182.04 ! [V_y_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.04 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_of__nat__induct,axiom,
% 182.20/182.04 ! [V_x_2,V_Pa_2] :
% 182.20/182.04 ( ! [B_y] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_of__nat__cases,axiom,
% 182.20/182.04 ! [V_x_2] :
% 182.20/182.04 ~ ! [B_y] :
% 182.20/182.04 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 182.20/182.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 182.20/182.04 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_beyond__def,axiom,
% 182.20/182.04 ! [V_l,V_k] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 182.20/182.04 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 182.20/182.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 182.20/182.04 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_beyond__zero,axiom,
% 182.20/182.04 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 182.20/182.04 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__image__Collect__eq,axiom,
% 182.20/182.04 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curry__def,axiom,
% 182.20/182.04 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curryI,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 182.20/182.04 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__id,axiom,
% 182.20/182.04 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__inv__into,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__into__inv__into__eq,axiom,
% 182.20/182.04 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 182.20/182.04 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__imp__bij__inv,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inv__inv__eq,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_o__inv__distrib,axiom,
% 182.20/182.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__comp__iff,axiom,
% 182.20/182.04 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 182.20/182.04 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 182.20/182.04 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__trans,axiom,
% 182.20/182.04 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__comp,axiom,
% 182.20/182.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__comp__iff2,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 182.20/182.04 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 182.20/182.04 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curry__conv,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curryE,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 182.20/182.04 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curryD,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 182.20/182.04 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_split__curry,axiom,
% 182.20/182.04 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_curry__split,axiom,
% 182.20/182.04 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bijI,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__def,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 182.20/182.04 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__subset,axiom,
% 182.20/182.04 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.04 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__is__surj,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__imp__surj,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__def,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inj__on__imp__bij__betw,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__imp__inj__on,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__is__inj,axiom,
% 182.20/182.04 ! [V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__the__inv__into,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__same__card,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__empty1,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 182.20/182.04 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__empty2,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_BIJ,axiom,
% 182.20/182.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 182.20/182.04 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 182.20/182.04 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__finite,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__id__iff,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 182.20/182.04 <=> V_A_2 = V_B_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__id,axiom,
% 182.20/182.04 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__Disj__Un,axiom,
% 182.20/182.04 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 182.20/182.04 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 182.20/182.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 182.20/182.04 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 182.20/182.04 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__betw__combine,axiom,
% 182.20/182.04 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 182.20/182.04 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 182.20/182.04 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 182.20/182.04 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_finite__vimage__iff,axiom,
% 182.20/182.04 ! [V_F_2,V_h_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 182.20/182.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__image__Compl__eq,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__image__INT,axiom,
% 182.20/182.04 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_vimage__subset__eq,axiom,
% 182.20/182.04 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bij__vimage__eq__inv__image,axiom,
% 182.20/182.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 182.20/182.04 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 182.20/182.04 ! [V_M_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 182.20/182.04 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Cantor__Bernstein,axiom,
% 182.20/182.04 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 182.20/182.04 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 182.20/182.04 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_ex__bij__betw__nat__finite,axiom,
% 182.20/182.04 ! [V_M_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 182.20/182.04 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_ex__bij__betw__finite__nat,axiom,
% 182.20/182.04 ! [V_M_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 182.20/182.04 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_refl__on__UNION,axiom,
% 182.20/182.04 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 182.20/182.04 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 182.20/182.04 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bex__reg__eqv,axiom,
% 182.20/182.04 ! [V_Pa_2,V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 => ( ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_in__respects,axiom,
% 182.20/182.04 ! [V_R_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Respects__def,axiom,
% 182.20/182.04 ! [V_x_2,V_R_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_bex__reg__right,axiom,
% 182.20/182.04 ! [V_Pa_2,V_Q_2,V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(V_Q_2,B_x))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 182.20/182.04 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 182.20/182.04 => ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_babs__reg__eqv,axiom,
% 182.20/182.04 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 182.20/182.04 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 182.20/182.04 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_Babs__def,axiom,
% 182.20/182.04 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 182.20/182.04 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_wf__weak__decr__stable,axiom,
% 182.20/182.04 ! [V_r_2,V_f_2,T_b] :
% 182.20/182.04 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 182.20/182.04 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 182.20/182.04 => ? [B_i] :
% 182.20/182.04 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_INT__greatest,axiom,
% 182.20/182.04 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 182.20/182.04 ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_INT__anti__mono,axiom,
% 182.20/182.04 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_rtrancl__induct2,axiom,
% 182.20/182.04 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 182.20/182.04 => ( ! [B_a,B_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 182.20/182.04 => ! [B_aa,B_ba] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_converse__rtranclE2,axiom,
% 182.20/182.04 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 182.20/182.04 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 182.20/182.04 => ~ ! [B_a,B_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 182.20/182.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_converse__rtrancl__induct2,axiom,
% 182.20/182.04 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 182.20/182.04 => ( ! [B_a,B_b,B_aa,B_ba] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 182.20/182.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_congruentI,axiom,
% 182.20/182.04 ! [T_c,V_f_2,V_r_2,T_b] :
% 182.20/182.04 ( ! [B_y,B_z] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 182.20/182.04 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 182.20/182.04 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_congruent2I_H,axiom,
% 182.20/182.04 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 182.20/182.04 ( ! [B_y1,B_z1] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 182.20/182.04 => ! [B_y2,B_z2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 182.20/182.04 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 182.20/182.04 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__03,axiom,
% 182.20/182.04 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_all__interval__nat__def,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 182.20/182.04 <=> ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 182.20/182.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__04,axiom,
% 182.20/182.04 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__all__iff__all__interval__nat,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 182.20/182.04 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 182.20/182.04 ! [V_j_2,V_i_2,V_Pa_2] :
% 182.20/182.04 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 182.20/182.04 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__05,axiom,
% 182.20/182.04 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_folding__image_Ocong,axiom,
% 182.20/182.04 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 182.20/182.04 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 182.20/182.04 => ( ! [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 182.20/182.04 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 182.20/182.04 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__06,axiom,
% 182.20/182.04 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact__07,axiom,
% 182.20/182.04 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_New__DSequence_Opos__map__def,axiom,
% 182.20/182.04 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_power__dvd__imp__le,axiom,
% 182.20/182.04 ! [V_n,V_m,V_i] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_Oorder__refl,axiom,
% 182.20/182.04 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__0__right,axiom,
% 182.20/182.04 ! [V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__1__left,axiom,
% 182.20/182.04 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__setprod,axiom,
% 182.20/182.04 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_c)
% 182.20/182.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_unity__coeff__ex,axiom,
% 182.20/182.04 ! [V_l_2,V_Pa_2,T_b] :
% 182.20/182.04 ( ( class_Rings_Odvd(T_b)
% 182.20/182.04 & class_Rings_Osemiring__0(T_b) )
% 182.20/182.04 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 182.20/182.04 <=> ? [B_x] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 182.20/182.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_div__mult__div__if__dvd,axiom,
% 182.20/182.04 ! [V_w,V_z,V_x,V_y,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 182.20/182.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__div__mult,axiom,
% 182.20/182.04 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__div__mult__self,axiom,
% 182.20/182.04 ! [V_b,V_a,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_div__mult__swap,axiom,
% 182.20/182.04 ! [V_a,V_b,V_c,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 182.20/182.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult__div__cancel,axiom,
% 182.20/182.04 ! [V_b,V_a,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__triv__left,axiom,
% 182.20/182.04 ! [V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__triv__right,axiom,
% 182.20/182.04 ! [V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult2,axiom,
% 182.20/182.04 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult,axiom,
% 182.20/182.04 ! [V_b,V_c,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_mult__dvd__mono,axiom,
% 182.20/182.04 ! [V_d,V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvdI,axiom,
% 182.20/182.04 ! [V_k,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Odvd(T_a)
% 182.20/182.04 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult__left,axiom,
% 182.20/182.04 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult__right,axiom,
% 182.20/182.04 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult__cancel__right,axiom,
% 182.20/182.04 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 182.20/182.04 ( class_Rings_Oidom(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 182.20/182.04 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.04 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__mult__cancel__left,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 182.20/182.04 ( class_Rings_Oidom(T_b)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 182.20/182.04 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.04 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 182.20/182.04 ! [V_na_2,V_m_2,V_k_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 182.20/182.04 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 182.20/182.04 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inf__period_I4_J,axiom,
% 182.20/182.04 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 182.20/182.04 ( ( class_Rings_Ocomm__ring(T_b)
% 182.20/182.04 & class_Rings_Odvd(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 182.20/182.04 => ! [B_x,B_k] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_inf__period_I3_J,axiom,
% 182.20/182.04 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 182.20/182.04 ( ( class_Rings_Ocomm__ring(T_b)
% 182.20/182.04 & class_Rings_Odvd(T_b) )
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 182.20/182.04 => ! [B_x,B_k] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 182.20/182.04 ! [V_c_2,V_b_2,V_a_2] :
% 182.20/182.04 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 182.20/182.04 <=> ( V_a_2 = V_b_2
% 182.20/182.04 & V_b_2 = V_c_2 ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 182.20/182.04 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2] :
% 182.20/182.04 ( V_a_2 = V_b_2
% 182.20/182.04 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 182.20/182.04 ! [V_a_2,V_b_2] :
% 182.20/182.04 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 182.20/182.04 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2] :
% 182.20/182.04 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 182.20/182.04 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2] :
% 182.20/182.04 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)
% 182.20/182.04 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2] :
% 182.20/182.04 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2)
% 182.20/182.04 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 182.20/182.04 ! [V_l_2,V_k_2] :
% 182.20/182.04 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 182.20/182.04 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 182.20/182.04 ! [V_b_2,V_a_2] :
% 182.20/182.04 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 182.20/182.04 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 182.20/182.04 ! [V_l_2,V_k_2] :
% 182.20/182.04 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 182.20/182.04 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 182.20/182.04 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 182.20/182.04 ! [V_a_2,V_b_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 182.20/182.04 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 182.20/182.04 ! [V_k_2,V_l_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 182.20/182.04 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 182.20/182.04 ! [V_k_2,V_l_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 182.20/182.04 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_div__add,axiom,
% 182.20/182.04 ! [V_y,V_x,V_z,T_a] :
% 182.20/182.04 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 182.20/182.04 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__reduce,axiom,
% 182.20/182.04 ! [V_na_2,V_k_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_na_2),V_k_2)))
% 182.20/182.04 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd__add,axiom,
% 182.20/182.04 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.04 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.04 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 182.20/182.04 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 182.20/182.04
% 182.20/182.04 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 182.20/182.04 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 182.20/182.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 182.20/182.05 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.05 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 182.20/182.05 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 182.20/182.05 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 182.20/182.05 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 182.20/182.05 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__1__iff__1,axiom,
% 182.20/182.05 ! [V_m_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 182.20/182.05 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_nat__dvd__not__less,axiom,
% 182.20/182.05 ! [V_n,V_m] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 182.20/182.05 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_minus__dvd__iff,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.05 ( class_Rings_Ocomm__ring__1(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__minus__iff,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.05 ( class_Rings_Ocomm__ring__1(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__eq__mod__eq__0,axiom,
% 182.20/182.05 ! [V_b_2,V_a_2,T_b] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 182.20/182.05 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__imp__mod__0,axiom,
% 182.20/182.05 ! [V_b,V_a,T_a] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.05 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__mod__iff,axiom,
% 182.20/182.05 ! [V_m_2,V_na_2,V_k_2,T_b] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_na_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_mod__mod__cancel,axiom,
% 182.20/182.05 ! [V_a,V_b,V_c,T_a] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 182.20/182.05 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__mod,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k,T_a] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__mod__imp__dvd,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k,T_a] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__0__left,axiom,
% 182.20/182.05 ! [V_a,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 182.20/182.05 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_div__dvd__div,axiom,
% 182.20/182.05 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_c_2),V_a_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__if__abs__eq,axiom,
% 182.20/182.05 ! [V_k,V_l,T_a] :
% 182.20/182.05 ( class_Rings_Olinordered__idom(T_a)
% 182.20/182.05 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_abs__dvd__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_m_2,T_b] :
% 182.20/182.05 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__abs__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_m_2,T_b] :
% 182.20/182.05 ( class_Rings_Olinordered__idom(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__power__same,axiom,
% 182.20/182.05 ! [V_n,V_y,V_x,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n))) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__refl,axiom,
% 182.20/182.05 ! [V_a,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__trans,axiom,
% 182.20/182.05 ! [V_c,V_b,V_a,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oeq__iff,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2] :
% 182.20/182.05 ( V_x_2 = V_y_2
% 182.20/182.05 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Ole__less,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 182.20/182.05 | V_x_2 = V_y_2 ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__le,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 182.20/182.05 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 & V_x_2 != V_y_2 ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oneq__le__trans,axiom,
% 182.20/182.05 ! [V_b,V_a] :
% 182.20/182.05 ( V_a != V_b
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oeq__refl,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( V_x = V_y
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oantisym__conv,axiom,
% 182.20/182.05 ! [V_x_2,V_y_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 182.20/182.05 <=> V_x_2 = V_y_2 ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 | V_x = V_y ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Ole__neq__trans,axiom,
% 182.20/182.05 ! [V_b,V_a] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 => ( V_a != V_b
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 182.20/182.05 ! [V_c,V_b,V_a] :
% 182.20/182.05 ( V_a = V_b
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 182.20/182.05 ! [V_c,V_b,V_a] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 => ( V_b = V_c
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__antisym,axiom,
% 182.20/182.05 ! [V_n,V_m] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 182.20/182.05 => V_m = V_n ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oantisym,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 182.20/182.05 => V_x = V_y ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oorder__trans,axiom,
% 182.20/182.05 ! [V_z,V_y,V_x] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 182.20/182.05 ! [V_c,V_b,V_a] :
% 182.20/182.05 ( V_a = V_b
% 182.20/182.05 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Ole__less__trans,axiom,
% 182.20/182.05 ! [V_z,V_y,V_x] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__imp__neq,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => V_x != V_y ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__not__sym,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__imp__le,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__imp__not__less,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => V_x != V_y ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => V_y != V_x ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 182.20/182.05 ! [V_c,V_b,V_a] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 182.20/182.05 => ( V_b = V_c
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__le__trans,axiom,
% 182.20/182.05 ! [V_z,V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__asym_H,axiom,
% 182.20/182.05 ! [V_b,V_a] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 182.20/182.05 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__trans,axiom,
% 182.20/182.05 ! [V_z,V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_Oless__asym,axiom,
% 182.20/182.05 ! [V_y,V_x] :
% 182.20/182.05 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 182.20/182.05 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_one__dvd,axiom,
% 182.20/182.05 ! [V_a,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_nat__dvd__1__iff__1,axiom,
% 182.20/182.05 ! [V_m_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 182.20/182.05 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__diff__nat,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__diff,axiom,
% 182.20/182.05 ! [V_z,V_y,V_x,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__ring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__div__neg,axiom,
% 182.20/182.05 ! [V_x,V_y,T_a] :
% 182.20/182.05 ( class_Divides_Oring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 182.20/182.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__neg__div,axiom,
% 182.20/182.05 ! [V_x,V_y,T_a] :
% 182.20/182.05 ( class_Divides_Oring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 182.20/182.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_div__power,axiom,
% 182.20/182.05 ! [V_n,V_x,V_y,T_a] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 182.20/182.05 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_OatMost__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_i_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_OatLeast__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_i_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_OgreaterThan__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_i_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 182.20/182.05 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_OlessThan__iff,axiom,
% 182.20/182.05 ! [V_k_2,V_i_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 182.20/182.05 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 182.20/182.05 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_le__imp__power__dvd,axiom,
% 182.20/182.05 ! [V_a,V_n,V_m,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__power__le,axiom,
% 182.20/182.05 ! [V_m,V_n,V_y,V_x,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_power__le__dvd,axiom,
% 182.20/182.05 ! [V_m,V_b,V_n,V_a,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 182.20/182.05 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 182.20/182.05 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 182.20/182.05 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 182.20/182.05 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__diffD,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__diffD1,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__div__div__eq__mult,axiom,
% 182.20/182.05 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.05 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 182.20/182.05 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2)
% 182.20/182.05 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__div__eq__mult,axiom,
% 182.20/182.05 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 182.20/182.05 ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 182.20/182.05 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 182.20/182.05 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2,T_b] :
% 182.20/182.05 ( ( class_Divides_Osemiring__div(T_b)
% 182.20/182.05 & class_Int_Onumber(T_b) )
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 182.20/182.05 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_setprod__dvd__setprod__subset,axiom,
% 182.20/182.05 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 182.20/182.05 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 182.20/182.05 & class_Rings_Odvd(T_c) )
% 182.20/182.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__mult__cancel,axiom,
% 182.20/182.05 ! [V_n,V_m,V_k] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_nat__mult__dvd__cancel1,axiom,
% 182.20/182.05 ! [V_na_2,V_m_2,V_k_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_na_2)))
% 182.20/182.05 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__imp__le,axiom,
% 182.20/182.05 ! [V_n,V_k] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__power,axiom,
% 182.20/182.05 ! [V_x,V_n,T_a] :
% 182.20/182.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 182.20/182.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 182.20/182.05 | V_x = c_Groups_Oone__class_Oone(T_a) )
% 182.20/182.05 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ) ).
% 182.20/182.05
% 182.20/182.05 fof(fact_dvd__mult__cancel2,axiom,
% 182.20/182.05 ! [V_na_2,V_m_2] :
% 182.20/182.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 182.20/182.05 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_na_2),V_m_2)),V_m_2))
% 182.20/182.05 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 182.20/182.05
% 182.20/182.05 %----Arity declarations (220)
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 182.20/182.05 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Obounded__lattice(T_1)
% 182.20/182.05 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 182.20/182.05 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Obounded__lattice(T_1)
% 182.20/182.05 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Obounded__lattice(T_1)
% 182.20/182.05 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Olattice(T_1)
% 182.20/182.05 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Olattice(T_1)
% 182.20/182.05 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Odistrib__lattice(T_1)
% 182.20/182.05 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Oboolean__algebra(T_1)
% 182.20/182.05 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Orderings_Opreorder,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Orderings_Opreorder(T_1)
% 182.20/182.05 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Finite__Set_Ofinite(T_2)
% 182.20/182.05 & class_Finite__Set_Ofinite(T_1) )
% 182.20/182.05 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Lattices_Olattice,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Lattices_Olattice(T_1)
% 182.20/182.05 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Orderings_Oorder,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Orderings_Oorder(T_1)
% 182.20/182.05 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Orderings_Otop,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Orderings_Otop(T_1)
% 182.20/182.05 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Orderings_Oord,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Orderings_Oord(T_1)
% 182.20/182.05 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Orderings_Obot,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Orderings_Obot(T_1)
% 182.20/182.05 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Groups_Ouminus,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Groups_Ouminus(T_1)
% 182.20/182.05 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Groups_Ominus,axiom,
% 182.20/182.05 ! [T_2,T_1] :
% 182.20/182.05 ( class_Groups_Ominus(T_1)
% 182.20/182.05 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_fun__Enum_Oenum,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Enum_Oenum(T_2)
% 182.20/182.05 & class_Enum_Oenum(T_1) )
% 182.20/182.05 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_Com_Ocom) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 182.20/182.05 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 182.20/182.05 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 182.20/182.05 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 182.20/182.05 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 182.20/182.05 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 182.20/182.05 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 182.20/182.05 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 182.20/182.05 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 182.20/182.05 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 182.20/182.05 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 182.20/182.05 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 182.20/182.05 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 182.20/182.05 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 182.20/182.05 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 182.20/182.05 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 182.20/182.05 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 182.20/182.05 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 182.20/182.05 class_Orderings_Opreorder(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 182.20/182.05 class_Orderings_Olinorder(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 182.20/182.05 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 182.20/182.05 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 182.20/182.05 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 182.20/182.05 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 182.20/182.05 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 182.20/182.05 class_Lattices_Olattice(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 182.20/182.05 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 182.20/182.05 class_Divides_Oring__div(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 182.20/182.05 class_Rings_Omult__zero(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 182.20/182.05 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 182.20/182.05 class_Orderings_Oorder(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 182.20/182.05 class_Int_Oring__char__0(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 182.20/182.05 class_Int_Onumber__ring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 182.20/182.05 class_Rings_Osemiring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 182.20/182.05 class_Orderings_Oord(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 182.20/182.05 class_Groups_Ouminus(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 182.20/182.05 class_Groups_Osgn__if(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 182.20/182.05 class_Groups_Oabs__if(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 182.20/182.05 class_Rings_Oring__1(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 182.20/182.05 class_Groups_Ominus(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Power_Opower,axiom,
% 182.20/182.05 class_Power_Opower(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 182.20/182.05 class_Groups_Ozero(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oring,axiom,
% 182.20/182.05 class_Rings_Oring(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 182.20/182.05 class_Rings_Oidom(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Int_Onumber,axiom,
% 182.20/182.05 class_Int_Onumber(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Groups_Oone,axiom,
% 182.20/182.05 class_Groups_Oone(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 182.20/182.05 class_Rings_Odvd(tc_Int_Oint) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 182.20/182.05 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 182.20/182.05 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 182.20/182.05 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 182.20/182.05 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 182.20/182.05 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 182.20/182.05 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 182.20/182.05 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 182.20/182.05 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 182.20/182.05 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 182.20/182.05 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 182.20/182.05 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 182.20/182.05 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 182.20/182.05 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 182.20/182.05 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 182.20/182.05 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 182.20/182.05 class_Lattices_Olattice(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 182.20/182.05 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 182.20/182.05 class_Orderings_Oorder(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 182.20/182.05 class_Rings_Osemiring(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 182.20/182.05 class_Orderings_Oord(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 182.20/182.05 class_Orderings_Obot(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 182.20/182.05 class_Groups_Ominus(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Power_Opower,axiom,
% 182.20/182.05 class_Power_Opower(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 182.20/182.05 class_Groups_Ozero(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 182.20/182.05 class_Int_Onumber(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 182.20/182.05 class_Groups_Oone(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 182.20/182.05 class_Rings_Odvd(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_Nat_Onat) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 182.20/182.05 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 182.20/182.05 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 182.20/182.05 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 182.20/182.05 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 182.20/182.05 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 182.20/182.05 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 182.20/182.05 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 182.20/182.05 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 182.20/182.05 class_Lattices_Olattice(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 182.20/182.05 class_Orderings_Oorder(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 182.20/182.05 class_Orderings_Otop(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 182.20/182.05 class_Orderings_Oord(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 182.20/182.05 class_Orderings_Obot(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 182.20/182.05 class_Groups_Ouminus(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 182.20/182.05 class_Groups_Ominus(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 182.20/182.05 class_Enum_Oenum(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_HOL_Obool) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 182.20/182.05 ! [T_1] :
% 182.20/182.05 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 182.20/182.05 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_List__Olist__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Finite__Set_Ofinite(T_2)
% 182.20/182.05 & class_Finite__Set_Ofinite(T_1) )
% 182.20/182.05 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_sum__Enum_Oenum,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Enum_Oenum(T_2)
% 182.20/182.05 & class_Enum_Oenum(T_1) )
% 182.20/182.05 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_sum__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 182.20/182.05 ! [T_1] :
% 182.20/182.05 ( class_Finite__Set_Ofinite(T_1)
% 182.20/182.05 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 182.20/182.05 ! [T_1] :
% 182.20/182.05 ( class_Enum_Oenum(T_1)
% 182.20/182.05 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 182.20/182.05 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 182.20/182.05 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Finite__Set_Ofinite(T_2)
% 182.20/182.05 & class_Finite__Set_Ofinite(T_1) )
% 182.20/182.05 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_prod__Enum_Oenum,axiom,
% 182.20/182.05 ! [T_1,T_2] :
% 182.20/182.05 ( ( class_Enum_Oenum(T_2)
% 182.20/182.05 & class_Enum_Oenum(T_1) )
% 182.20/182.05 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_prod__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 182.20/182.05 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 182.20/182.05 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 182.20/182.05 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 182.20/182.05 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 182.20/182.05 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 182.20/182.05 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 182.20/182.05 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 182.20/182.05 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 182.20/182.05 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 182.20/182.05 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 182.20/182.05 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 182.20/182.05 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 182.20/182.05 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 182.20/182.05 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 182.20/182.05 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 182.20/182.05 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 182.20/182.05 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 182.20/182.05 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 182.20/182.05 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 182.20/182.05 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 182.20/182.05 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 182.20/182.05 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 182.20/182.05 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 182.20/182.05 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 182.20/182.05 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 182.20/182.05 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 182.20/182.05 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 182.20/182.05 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 182.20/182.05 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 182.20/182.05 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 182.20/182.05 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 182.20/182.05
% 182.20/182.05 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 182.20/182.05 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 182.20/182.05
% 182.20/182.05 %----Helper facts (20)
% 182.20/182.05 fof(help_c__COMBI__1,axiom,
% 182.20/182.05 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__COMBK__1,axiom,
% 182.20/182.05 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__COMBB__1,axiom,
% 182.20/182.05 ! [V_R_2,V_Q_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__COMBC__1,axiom,
% 182.20/182.05 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Q_2) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__COMBS__1,axiom,
% 182.20/182.05 ! [V_R_2,V_Q_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fequal__1,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 182.20/182.05 | V_x_2 = V_y_2 ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fequal__2,axiom,
% 182.20/182.05 ! [V_y_2,V_x_2] :
% 182.20/182.05 ( V_x_2 != V_y_2
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fFalse__1,axiom,
% 182.20/182.05 ~ hBOOL(c_fFalse) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fTrue__1,axiom,
% 182.20/182.05 hBOOL(c_fTrue) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fNot__1,axiom,
% 182.20/182.05 ! [V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 182.20/182.05 | ~ hBOOL(V_Pa_2) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fNot__2,axiom,
% 182.20/182.05 ! [V_Pa_2] :
% 182.20/182.05 ( ~ ~ hBOOL(V_Pa_2)
% 182.20/182.05 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fconj__1,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(V_Pa_2)
% 182.20/182.05 | ~ hBOOL(V_Q_2)
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fconj__2,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 182.20/182.05 | hBOOL(V_Pa_2) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fconj__3,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2))
% 182.20/182.05 | hBOOL(V_Q_2) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fdisj__1,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(V_Pa_2)
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fdisj__2,axiom,
% 182.20/182.05 ! [V_Pa_2,V_Q_2] :
% 182.20/182.05 ( ~ hBOOL(V_Q_2)
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fdisj__3,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2))
% 182.20/182.05 | hBOOL(V_Pa_2)
% 182.20/182.05 | hBOOL(V_Q_2) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fimplies__1,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( hBOOL(V_Pa_2)
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fimplies__2,axiom,
% 182.20/182.05 ! [V_Pa_2,V_Q_2] :
% 182.20/182.05 ( ~ hBOOL(V_Q_2)
% 182.20/182.05 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ).
% 182.20/182.05
% 182.20/182.05 fof(help_c__fimplies__3,axiom,
% 182.20/182.05 ! [V_Q_2,V_Pa_2] :
% 182.20/182.05 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2))
% 182.20/182.05 | ~ hBOOL(V_Pa_2)
% 182.20/182.05 | hBOOL(V_Q_2) ) ).
% 182.20/182.05
% 182.20/182.05 %----Conjectures (7)
% 182.20/182.05 fof(conj_0,hypothesis,
% 182.20/182.05 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_1,hypothesis,
% 182.20/182.05 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,v_n)),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_2,hypothesis,
% 182.20/182.05 hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),hAPP(c_Nat_OSuc,v_n)) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_3,hypothesis,
% 182.20/182.05 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pn),v_U)) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_4,hypothesis,
% 182.20/182.05 ~ hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_5,hypothesis,
% 182.20/182.05 hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),v_G)) ).
% 182.20/182.05
% 182.20/182.05 fof(conj_6,conjecture,
% 182.20/182.05 hAPP(c_Finite__Set_Ocard(t_a),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),v_n) ).
% 182.20/182.05
% 182.20/182.05 %------------------------------------------------------------------------------
% 182.20/182.05 %-------------------------------------------
% 182.20/182.05 % Proof found
% 182.20/182.05 % SZS status Theorem for theBenchmark
% 182.20/182.05 % SZS output start Proof
% 182.20/182.05 %ClaNum:10393(EqnAxiom:3033)
% 182.20/182.05 %VarNum:70758(SingletonVarNum:20410)
% 182.20/182.05 %MaxLitNum:8
% 182.20/182.05 %MaxfuncDepth:13
% 182.20/182.05 %SharedTerms:1027
% 182.20/182.05 %goalClause: 4633
% 182.20/182.05 %singleGoalClaCount:1
% 182.20/182.05 [3037]P1(a178)
% 182.20/182.05 [3038]P2(a894)
% 182.20/182.05 [3039]P2(a897)
% 182.20/182.05 [3040]P64(a898)
% 182.20/182.05 [3041]P64(a894)
% 182.20/182.05 [3042]P64(a1)
% 182.20/182.05 [3043]P64(a90)
% 182.20/182.05 [3044]P65(a1)
% 182.20/182.05 [3045]P66(a898)
% 182.20/182.05 [3046]P66(a894)
% 182.20/182.05 [3047]P66(a1)
% 182.20/182.05 [3048]P66(a90)
% 182.20/182.05 [3049]P81(a898)
% 182.20/182.05 [3050]P81(a894)
% 182.20/182.05 [3051]P81(a1)
% 182.20/182.05 [3052]P81(a90)
% 182.20/182.05 [3053]P82(a898)
% 182.20/182.05 [3054]P82(a1)
% 182.20/182.05 [3055]P82(a90)
% 182.20/182.05 [3056]P108(a898)
% 182.20/182.05 [3057]P108(a894)
% 182.20/182.05 [3058]P108(a1)
% 182.20/182.05 [3059]P108(a90)
% 182.20/182.05 [3060]P67(a1)
% 182.20/182.05 [3061]P83(a898)
% 182.20/182.05 [3062]P83(a894)
% 182.20/182.05 [3063]P83(a1)
% 182.20/182.05 [3064]P102(a898)
% 182.20/182.05 [3065]P102(a894)
% 182.20/182.05 [3066]P102(a1)
% 182.20/182.05 [3067]P84(a894)
% 182.20/182.05 [3068]P78(a898)
% 182.20/182.05 [3069]P78(a1)
% 182.20/182.05 [3070]P78(a90)
% 182.20/182.05 [3071]P103(a898)
% 182.20/182.05 [3072]P103(a894)
% 182.20/182.05 [3073]P68(a898)
% 182.20/182.05 [3074]P68(a1)
% 182.20/182.05 [3075]P68(a90)
% 182.20/182.05 [3076]P69(a898)
% 182.20/182.05 [3077]P69(a1)
% 182.20/182.05 [3078]P69(a90)
% 182.20/182.05 [3079]P85(a898)
% 182.20/182.05 [3080]P85(a1)
% 182.20/182.05 [3081]P85(a90)
% 182.20/182.05 [3082]P88(a898)
% 182.20/182.05 [3083]P88(a1)
% 182.20/182.05 [3084]P88(a90)
% 182.20/182.05 [3085]P70(a898)
% 182.20/182.05 [3086]P70(a1)
% 182.20/182.05 [3087]P70(a90)
% 182.20/182.05 [3088]P86(a898)
% 182.20/182.05 [3089]P86(a1)
% 182.20/182.05 [3090]P86(a90)
% 182.20/182.05 [3091]P73(a1)
% 182.20/182.05 [3092]P109(a898)
% 182.20/182.05 [3093]P109(a1)
% 182.20/182.05 [3094]P109(a90)
% 182.20/182.05 [3095]P110(a1)
% 182.20/182.05 [3096]P89(a898)
% 182.20/182.05 [3097]P89(a1)
% 182.20/182.05 [3098]P89(a90)
% 182.20/182.05 [3099]P104(a898)
% 182.20/182.05 [3100]P104(a894)
% 182.20/182.05 [3101]P104(a1)
% 182.20/182.05 [3102]P100(a898)
% 182.20/182.05 [3103]P100(a894)
% 182.20/182.05 [3104]P100(a1)
% 182.20/182.05 [3105]P79(a898)
% 182.20/182.05 [3106]P79(a1)
% 182.20/182.05 [3107]P79(a90)
% 182.20/182.05 [3108]P74(a898)
% 182.20/182.05 [3109]P74(a1)
% 182.20/182.05 [3110]P74(a90)
% 182.20/182.05 [3111]P76(a1)
% 182.20/182.05 [3112]P126(a898)
% 182.20/182.05 [3113]P126(a1)
% 182.20/182.05 [3114]P126(a90)
% 182.20/182.05 [3115]P90(a898)
% 182.20/182.05 [3116]P90(a1)
% 182.20/182.05 [3117]P90(a90)
% 182.20/182.05 [3118]P145(a898)
% 182.20/182.05 [3119]P145(a1)
% 182.20/182.05 [3120]P111(a898)
% 182.20/182.05 [3121]P111(a1)
% 182.20/182.05 [3122]P111(a90)
% 182.20/182.05 [3123]P127(a1)
% 182.20/182.05 [3124]P94(a1)
% 182.20/182.05 [3125]P75(a898)
% 182.20/182.05 [3126]P75(a1)
% 182.20/182.05 [3127]P75(a90)
% 182.20/182.05 [3128]P128(a1)
% 182.20/182.05 [3129]P140(a898)
% 182.20/182.05 [3130]P140(a1)
% 182.20/182.05 [3131]P140(a90)
% 182.20/182.05 [3132]P71(a898)
% 182.20/182.05 [3133]P71(a1)
% 182.20/182.05 [3134]P71(a90)
% 182.20/182.05 [3135]P129(a898)
% 182.20/182.05 [3136]P129(a1)
% 182.20/182.05 [3137]P129(a90)
% 182.20/182.05 [3138]P141(a1)
% 182.20/182.05 [3139]P130(a898)
% 182.20/182.05 [3140]P130(a1)
% 182.20/182.05 [3141]P130(a90)
% 182.20/182.05 [3142]P112(a898)
% 182.20/182.05 [3143]P112(a1)
% 182.20/182.05 [3144]P112(a90)
% 182.20/182.05 [3145]P143(a898)
% 182.20/182.05 [3146]P143(a1)
% 182.20/182.05 [3147]P143(a90)
% 182.20/182.05 [3148]P80(a898)
% 182.20/182.05 [3149]P80(a1)
% 182.20/182.05 [3150]P80(a90)
% 182.20/182.05 [3151]P135(a898)
% 182.20/182.05 [3152]P135(a1)
% 182.20/182.05 [3153]P135(a90)
% 182.20/182.05 [3154]P136(a1)
% 182.20/182.05 [3155]P138(a898)
% 182.20/182.05 [3156]P138(a1)
% 182.20/182.05 [3157]P138(a90)
% 182.20/182.05 [3158]P137(a898)
% 182.20/182.05 [3159]P137(a1)
% 182.20/182.05 [3160]P137(a90)
% 182.20/182.05 [3161]P124(a1)
% 182.20/182.05 [3162]P125(a1)
% 182.20/182.05 [3163]P131(a898)
% 182.20/182.05 [3164]P131(a1)
% 182.20/182.05 [3165]P131(a90)
% 182.20/182.05 [3166]P118(a898)
% 182.20/182.05 [3167]P118(a1)
% 182.20/182.05 [3168]P118(a90)
% 182.20/182.05 [3169]P132(a898)
% 182.20/182.05 [3170]P132(a1)
% 182.20/182.05 [3171]P132(a90)
% 182.20/182.05 [3172]P133(a1)
% 182.20/182.05 [3173]P134(a1)
% 182.20/182.05 [3174]P105(a898)
% 182.20/182.05 [3175]P105(a1)
% 182.20/182.05 [3176]P105(a90)
% 182.20/182.05 [3177]P144(a898)
% 182.20/182.05 [3178]P144(a1)
% 182.20/182.05 [3179]P144(a90)
% 182.20/182.05 [3180]P142(a1)
% 182.20/182.05 [3181]P113(a898)
% 182.20/182.05 [3182]P113(a1)
% 182.20/182.05 [3183]P113(a90)
% 182.20/182.05 [3184]P3(a898)
% 182.20/182.05 [3185]P3(a1)
% 182.20/182.05 [3186]P3(a90)
% 182.20/182.05 [3187]P4(a1)
% 182.20/182.05 [3188]P87(a1)
% 182.20/182.05 [3189]P139(a1)
% 182.20/182.05 [3190]P77(a898)
% 182.20/182.05 [3191]P77(a1)
% 182.20/182.05 [3192]P77(a90)
% 182.20/182.05 [3193]P114(a894)
% 182.20/182.05 [3194]P101(a894)
% 182.20/182.05 [3195]P5(a894)
% 182.20/182.05 [3196]P97(a894)
% 182.20/182.05 [3197]P119(a1)
% 182.20/182.05 [3198]P91(a894)
% 182.20/182.05 [3199]P91(a1)
% 182.20/182.05 [3200]P116(a1)
% 182.20/182.05 [3201]P72(a1)
% 182.20/182.05 [3202]P92(a1)
% 182.20/182.05 [3203]P95(a1)
% 182.20/182.05 [3204]P96(a898)
% 182.20/182.05 [3205]P96(a1)
% 182.20/182.05 [3206]P96(a90)
% 182.20/182.05 [3207]P115(a898)
% 182.20/182.05 [3208]P93(a898)
% 182.20/182.05 [3209]P93(a1)
% 182.20/182.05 [3210]P93(a90)
% 182.20/182.05 [3211]P59(a894)
% 182.20/182.05 [3212]P59(a897)
% 182.20/182.05 [3213]P107(a898)
% 182.20/182.05 [3214]P107(a894)
% 182.20/182.05 [3215]P107(a895)
% 182.20/182.05 [3216]P107(a897)
% 182.20/182.05 [3217]P107(a90)
% 182.20/182.05 [3218]P107(a314)
% 182.20/182.05 [3219]P106(a1)
% 182.20/182.05 [3220]P106(a897)
% 182.20/182.05 [3221]P120(a898)
% 182.20/182.05 [3222]P120(a1)
% 182.20/182.05 [3223]P120(a90)
% 182.20/182.05 [3224]P117(a1)
% 182.20/182.05 [3225]P99(a894)
% 182.20/182.05 [3239]P36(a898,a231)
% 182.20/182.05 [3240]P36(a898,a308)
% 182.20/182.05 [3241]P37(a898,a231)
% 182.20/182.05 [4569]~E(a88,a78)
% 182.20/182.05 [4570]~P1(a230)
% 182.20/182.05 [3034]E(f2(a1),a78)
% 182.20/182.05 [3035]E(f91(a90),a3)
% 182.20/182.05 [3036]E(f23(a90),a24)
% 182.20/182.05 [3226]E(f179(a898),f2(a898))
% 182.20/182.05 [3227]E(f92(a898),f224(a898))
% 182.20/182.05 [3228]E(f101(a898),f225(a898))
% 182.20/182.05 [3229]E(f93(a1),f25(a1))
% 182.20/182.05 [3230]E(f79(a230),f2(a898))
% 182.20/182.05 [3231]E(f79(a178),f2(a898))
% 182.20/182.05 [3232]P6(f73(a1))
% 182.20/182.05 [3233]P6(f2(a1))
% 182.20/182.05 [3287]P36(f904(a898,a898),a26)
% 182.20/182.05 [3630]E(f310(a898,a898,a231,a231),a26)
% 182.20/182.05 [4571]~E(f73(a1),f2(a1))
% 182.20/182.05 [3234]E(f102(f2(a898)),f2(a898))
% 182.20/182.05 [3235]E(f4(f2(a90)),f2(a898))
% 182.20/182.05 [3243]E(f318(f74(a1),a78),a78)
% 182.20/182.05 [3246]E(f318(a103,f2(a898)),f73(a898))
% 182.20/182.05 [3247]E(f318(a95,f73(a1)),f73(a898))
% 182.20/182.05 [3248]E(f318(a3,f73(a898)),f73(a90))
% 182.20/182.05 [3250]E(f318(a3,f2(a898)),f2(a90))
% 182.20/182.05 [3252]E(f318(f94(a1),a78),f2(a1))
% 182.20/182.05 [3253]E(f318(f94(a90),a78),f2(a90))
% 182.20/182.05 [3254]E(f318(a95,f2(a1)),f2(a898))
% 182.20/182.05 [3255]E(f318(f94(a898),a78),f2(a898))
% 182.20/182.05 [3256]E(f318(f180(a894),a230),f2(a898))
% 182.20/182.05 [3257]E(f318(f180(a894),a178),f2(a898))
% 182.20/182.05 [3263]E(f318(f74(a1),f73(a1)),a88)
% 182.20/182.05 [3270]E(f318(f91(a1),f73(a898)),f73(a1))
% 182.20/182.05 [3271]E(f318(f91(a1),f2(a898)),f2(a1))
% 182.20/182.05 [3272]E(f318(f74(a1),f2(a1)),f2(a1))
% 182.20/182.05 [3274]E(f318(f180(a90),f2(a90)),f2(a898))
% 182.20/182.05 [3284]E(f318(a95,f73(a1)),f318(a103,f2(a898)))
% 182.20/182.05 [3285]E(f309(f904(a898,a898),a26),a27)
% 182.20/182.05 [3286]E(f311(f904(a898,a898),a26),a63)
% 182.20/182.05 [3288]P1(f318(f28(a896),a906))
% 182.20/182.05 [3289]P1(f318(f28(a893),a907))
% 182.20/182.05 [3315]E(f318(f273(a898),f2(a898)),f179(f905(a898,a894)))
% 182.20/182.05 [3316]E(f318(f274(a898),f2(a898)),f233(f905(a898,a894)))
% 182.20/182.05 [3324]P39(f179(f905(a1,a894)))
% 182.20/182.05 [3358]E(f318(f318(f23(a90),f2(a90)),f73(a90)),f2(a90))
% 182.20/182.05 [3434]P1(f318(f318(f227(a1),a88),f2(a1)))
% 182.20/182.05 [3458]P1(f318(f318(f226(a1),f2(a1)),f73(a1)))
% 182.20/182.05 [3460]P1(f318(f318(f227(a1),f2(a1)),f73(a1)))
% 182.20/182.05 [3661]E(f318(f318(f280(a898,a898,a898),a308),f298(a898,a308)),a231)
% 182.20/182.05 [3698]P40(a1,a898,a95,f318(f226(a1),f2(a1)))
% 182.20/182.05 [3702]E(f318(f318(f34(a898,f905(a898,a894)),f233(f905(a898,a894))),f273(a898)),f233(f905(a898,a894)))
% 182.20/182.05 [3703]E(f318(f318(f34(a898,f905(a898,a894)),f233(f905(a898,a894))),f292(a898)),f233(f905(a898,a894)))
% 182.20/182.05 [3704]E(f318(f318(f34(a898,f905(a898,a894)),f233(f905(a898,a894))),f274(a898)),f233(f905(a898,a894)))
% 182.20/182.05 [3705]E(f318(f318(f35(a898,f905(a898,a894)),f233(f905(a898,a894))),f295(a898)),f179(f905(a898,a894)))
% 182.20/182.05 [3720]P24(a898,a1,f91(a1),f233(f905(a898,a894)))
% 182.20/182.05 [3734]P40(a898,a1,f91(a1),f318(f16(a894,a898),a178))
% 182.20/182.05 [3869]E(f318(f67(a898,a90,a1,a3),a95),f94(a90))
% 182.20/182.05 [4041]E(f318(f318(f23(a898),f318(f29(a893),f318(f301(a896,a893,a909),a906))),f318(a103,a911)),f318(f29(a893),a907))
% 182.20/182.05 [4090]P55(a90,a898,a20,a3,f233(f905(a898,a894)))
% 182.20/182.05 [4095]P55(a1,f905(f904(a898,a898),a894),a97,a84,a89)
% 182.20/182.05 [4349]E(f249(a1,a1,a1,a1,f25(a1),f74(a1)),a46)
% 182.20/182.05 [4580]~E(f318(f94(a1),a88),f318(f94(a1),a78))
% 182.20/182.05 [4581]~P1(f318(a184,f73(a1)))
% 182.20/182.05 [4582]~P1(f318(a184,f2(a1)))
% 182.20/182.05 [4607]~P1(f318(f318(f227(a1),a78),f2(a1)))
% 182.20/182.05 [3307]E(f318(f318(f23(a1),a88),a88),a78)
% 182.20/182.05 [3322]E(f318(f91(a1),f318(a103,f2(a898))),f73(a1))
% 182.20/182.05 [3387]E(f318(f29(a897),f233(f905(a897,a894))),f73(a898))
% 182.20/182.05 [3407]P1(f318(a184,f318(f94(a1),a88)))
% 182.20/182.05 [3408]P1(f318(f318(f320(a896),a908),a906))
% 182.20/182.05 [3410]P1(f318(f318(f226(a1),a88),a78))
% 182.20/182.05 [3412]P1(f318(f318(f227(a1),a88),a78))
% 182.20/182.05 [3468]E(f318(f318(f300(a898),f2(a898)),f179(f905(a898,a894))),f318(f292(a898),f2(a898)))
% 182.20/182.05 [3521]P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),a78)))
% 182.20/182.05 [3533]E(f318(f301(a898,a898,a103),f233(f905(a898,a894))),f318(f295(a898),f2(a898)))
% 182.20/182.05 [3568]P8(f904(a898,a898),f233(f905(f904(a898,a898),a894)),a99)
% 182.20/182.05 [3876]E(f318(f67(a898,a1,a90,f91(a1)),a20),a22)
% 182.20/182.05 [3935]P36(a898,f318(f253(f904(a898,a898)),f318(f248(a898,a898,a894),f227(a898))))
% 182.20/182.05 [4598]~P1(f318(a184,f318(f94(a1),a78)))
% 182.20/182.05 [4599]~P1(f318(f318(f226(a1),a78),a88))
% 182.20/182.05 [4600]~P1(f318(f318(f227(a1),a78),a78))
% 182.20/182.05 [4601]~P1(f318(f318(f227(a1),a78),a88))
% 182.20/182.05 [4602]~P1(f318(f318(f227(a1),a88),a88))
% 182.20/182.05 [4611]~P1(f318(f28(a898),f233(f905(a898,a894))))
% 182.20/182.05 [4612]~P1(f318(f28(a1),f233(f905(a1,a894))))
% 182.20/182.05 [4614]~P1(f318(f318(f320(a893),f318(a909,a908)),a907))
% 182.20/182.05 [4059]P1(f318(f318(f226(a898),f318(a103,a911)),f318(f29(a893),f318(f301(a896,a893,a909),a906))))
% 182.20/182.05 [4515]E(f318(f248(a1,a1,a894),f318(f318(f8(f905(a1,a894),f905(a1,a894),a1),f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f227(a1),f2(a1))))),f318(f318(f7(a1,a1,f905(a1,a894)),f318(f318(f8(f905(a1,f905(a1,a894)),f905(a1,f905(a1,a894)),a1),f7(a1,a1,a894)),f318(f318(f8(f905(a1,a1),f905(a1,f905(a1,a894)),a1),f318(f8(a1,f905(a1,a894),a1),a315)),a208))),f73(a1)))),a204)
% 182.20/182.05 [3605]E(f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88),f318(f74(a1),a88))
% 182.20/182.05 [3643]E(f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88),f318(f318(f23(a1),a78),a88))
% 182.20/182.05 [3803]E(f318(f318(f55(f904(a898,a898)),f233(f905(f904(a898,a898),a894))),a99),a89)
% 182.20/182.05 [4633]~E(f318(f318(f23(a898),f318(f29(a893),f318(f301(a896,a893,a909),a906))),a911),f318(f29(a893),f318(f318(f300(a893),f318(a909,a908)),a907)))
% 182.20/182.05 [3832]E(f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f73(a1))
% 182.20/182.05 [3833]E(f318(f94(a90),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f73(a90))
% 182.20/182.05 [3834]E(f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f73(a898))
% 182.20/182.05 [3837]E(f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(a103,f2(a898)))
% 182.20/182.05 [4217]E(f318(f318(f101(f905(f904(f904(a898,a898),f904(a898,a898)),a894)),a26),f298(f904(a898,a898),f179(f905(f904(f904(a898,a898),f904(a898,a898)),a894)))),a65)
% 182.20/182.05 [4283]E(f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),f73(a898)),f2(a898))),f179(f905(f904(a898,a898),a894))))),f73(a1))
% 182.20/182.05 [4284]E(f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),f2(a898)),f2(a898))),f179(f905(f904(a898,a898),a894))))),f2(a1))
% 182.20/182.05 [4297]E(f318(f253(f904(a898,a898)),f318(f248(a898,a898,a894),f318(f318(f8(a898,f905(a898,a894),a898),f318(f7(a898,a898,a894),a315)),a103))),a308)
% 182.20/182.05 [4269]E(f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),f318(a103,f318(a103,f2(a898))))
% 182.20/182.05 [4272]E(f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),f318(f318(f75(a898),f73(a898)),f73(a898)))
% 182.20/182.05 [4273]E(f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),f318(f29(a894),f233(f905(a894,a894))))
% 182.20/182.05 [4336]P6(f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))
% 182.20/182.05 [4405]P26(f905(f904(a898,a898),a894),f318(f318(f243(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894),f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),a27),a64))
% 182.20/182.05 [4406]P26(f905(f904(a898,a898),a894),f318(f318(f243(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894),f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),a63),a66))
% 182.20/182.05 [4446]E(f318(f318(f101(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),f311(f904(a898,a898),a65)),f318(f318(f300(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f179(f905(f904(a898,a898),a894))),f179(f905(f904(a898,a898),a894)))),f179(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)))),a66)
% 182.20/182.05 [4447]E(f318(f318(f101(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)),f309(f904(a898,a898),a65)),f318(f318(f300(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f179(f905(f904(a898,a898),a894))),f179(f905(f904(a898,a898),a894)))),f179(f905(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a894)))),a64)
% 182.20/182.05 [4338]E(f318(a95,f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(a103,f318(a103,f2(a898))))
% 182.20/182.05 [4383]E(f318(f91(a1),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))
% 182.20/182.05 [4416]P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.05 [4417]E(f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88)),f318(a103,f318(a103,f318(a103,f2(a898)))))
% 182.20/182.05 [4461]P6(f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88)))
% 182.20/182.05 [4487]E(f318(f91(a1),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88)))
% 182.20/182.05 [4500]P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))))
% 182.20/182.05 [3242]P7(x32421,a315)
% 182.20/182.05 [3631]P24(a898,a898,a103,x36311)
% 182.20/182.05 [3236]P107(f901(x32361))
% 182.20/182.05 [3237]P107(f899(x32371))
% 182.20/182.05 [3238]P107(f900(x32381))
% 182.20/182.05 [3258]P36(a1,f96(x32581))
% 182.20/182.05 [3259]P36(a1,f98(x32591))
% 182.20/182.05 [3311]P36(f905(x33111,a894),f305(x33111))
% 182.20/182.05 [3312]P37(f905(x33121,a894),f305(x33121))
% 182.20/182.05 [3336]E(f234(x33361,x33361,a315),a315)
% 182.20/182.05 [3351]E(f40(a1,x33511,x33511),f2(a1))
% 182.20/182.05 [3404]P14(x34041,f905(x34041,a894),f300(x34041))
% 182.20/182.05 [4573]~E(f318(a103,x45731),x45731)
% 182.20/182.05 [4579]~E(f318(a103,x45791),f2(a898))
% 182.20/182.05 [3244]E(f318(f94(a1),x32441),x32441)
% 182.20/182.05 [3245]E(f318(f180(a898),x32451),x32451)
% 182.20/182.05 [3260]E(f318(a84,f319(x32601)),x32601)
% 182.20/182.05 [3261]E(f318(a3,f521(x32611)),x32611)
% 182.20/182.05 [3262]E(f232(x32621,f2(a90)),f2(a90))
% 182.20/182.05 [3275]E(f105(x32751,f104(x32751)),f104(x32751))
% 182.20/182.05 [3276]E(f143(x32761,f104(x32761)),f104(x32761))
% 182.20/182.05 [3281]E(f318(f158(x32811),f104(x32811)),f104(x32811))
% 182.20/182.05 [3282]E(f318(f162(x32821),f104(x32821)),f104(x32821))
% 182.20/182.05 [3283]E(f318(f159(x32831),f104(x32831)),f104(x32831))
% 182.20/182.05 [3290]E(f318(f94(a1),x32901),f318(f93(a1),x32901))
% 182.20/182.05 [3291]E(f318(a84,f318(a97,x32911)),x32911)
% 182.20/182.05 [3293]E(f318(a3,f318(a20,x32931)),x32931)
% 182.20/182.05 [3294]E(f318(a20,f318(a3,x32941)),x32941)
% 182.20/182.05 [3296]P6(f318(f91(a1),x32961))
% 182.20/182.05 [3305]E(f318(f180(f899(x33051)),f104(x33051)),f2(a898))
% 182.20/182.05 [3306]E(f318(f180(f900(x33061)),f110(x33061)),f2(a898))
% 182.20/182.05 [3327]E(f318(f318(f23(a898),x33271),f2(a898)),x33271)
% 182.20/182.05 [3328]E(f318(f318(f75(a898),x33281),f2(a898)),x33281)
% 182.20/182.05 [3329]E(f318(f318(f75(a1),x33291),f2(a1)),x33291)
% 182.20/182.05 [3330]E(f318(f318(f76(a898),x33301),f73(a898)),x33301)
% 182.20/182.05 [3331]E(f318(f318(f76(a1),x33311),f73(a1)),x33311)
% 182.20/182.05 [3332]E(f318(f318(f225(a898),x33321),f2(a898)),x33321)
% 182.20/182.05 [3333]E(f318(f318(f76(a898),x33331),f2(a898)),f2(a898))
% 182.20/182.05 [3334]E(f318(f318(f30(a1),x33341),f2(a1)),f2(a1))
% 182.20/182.05 [3335]E(f318(f318(f224(a898),x33351),f2(a898)),f2(a898))
% 182.20/182.05 [3342]E(f318(f163(x33421),f104(x33421)),f179(f905(x33421,a894)))
% 182.20/182.05 [3346]P1(f318(f128(x33461),f104(x33461)))
% 182.20/182.05 [3352]E(f318(f145(x33521,x33521),f5(x33521)),f25(f899(x33521)))
% 182.20/182.05 [3353]E(f318(f145(x33531,x33531),f25(x33531)),f25(f899(x33531)))
% 182.20/182.05 [3354]E(f40(a1,x33541,f2(a1)),x33541)
% 182.20/182.05 [3355]E(f318(f226(a898),f318(a103,x33551)),f318(f227(a898),x33551))
% 182.20/182.05 [3356]E(f318(f273(a898),f318(a103,x33561)),f318(f292(a898),x33561))
% 182.20/182.05 [3357]E(f318(f274(a898),f318(a103,x33571)),f318(f295(a898),x33571))
% 182.20/182.05 [3359]E(f40(a1,f2(a1),x33591),f2(a1))
% 182.20/182.05 [3372]E(f318(f318(f75(a898),x33721),f73(a898)),f318(a103,x33721))
% 182.20/182.05 [3381]E(f318(f293(a898,x33811),f2(a898)),f179(f905(a898,a894)))
% 182.20/182.05 [3393]E(f294(a898,f2(a898),x33931),f318(f292(a898),x33931))
% 182.20/182.05 [3437]E(f318(f318(f23(a898),f318(a103,x34371)),f73(a898)),x34371)
% 182.20/182.05 [3449]E(f42(f2(a1),x34491),f318(f318(f243(a1,a1),f2(a1)),f2(a1)))
% 182.20/182.05 [3496]P1(f318(f318(f227(a898),x34961),f318(a103,x34961)))
% 182.20/182.05 [3508]P1(f318(f318(f227(a898),f2(a898)),f318(a103,x35081)))
% 182.20/182.05 [3733]E(f86(x37331,x37331,f233(f905(x37331,a894)),f25(x37331)),f25(x37331))
% 182.20/182.05 [3790]E(f318(f318(f23(a90),f318(a3,f318(a103,f318(a20,x37901)))),f73(a90)),x37901)
% 182.20/182.05 [3860]P1(f318(f318(f226(a1),f318(f74(a1),f318(f91(a1),x38601))),f2(a1)))
% 182.20/182.05 [4003]P1(f318(f318(f227(a1),f318(f74(a1),f318(f91(a1),f318(a103,x40031)))),f2(a1)))
% 182.20/182.05 [4587]~E(f233(f905(x45871,a894)),f179(f905(x45871,a894)))
% 182.20/182.05 [4610]~P1(f318(f318(f227(a898),x46101),f2(a898)))
% 182.20/182.05 [4622]~P1(f318(f318(f227(a1),f318(f91(a1),x46221)),f2(a1)))
% 182.20/182.05 [3295]E(f111(x32951,f110(f900(x32951))),f110(x32951))
% 182.20/182.05 [3310]E(f170(x33101,f104(f899(x33101))),f104(f899(x33101)))
% 182.20/182.05 [3313]E(f318(f318(f76(a1),a78),x33131),a78)
% 182.20/182.05 [3314]E(f318(f318(f75(a1),a78),x33141),x33141)
% 182.20/182.05 [3317]E(f318(a95,f318(f91(a1),x33171)),x33171)
% 182.20/182.05 [3318]E(f318(f318(f23(a1),x33181),a78),x33181)
% 182.20/182.05 [3319]E(f318(f318(f75(a1),x33191),a78),x33191)
% 182.20/182.05 [3321]E(f318(f318(f23(a898),x33211),x33211),f2(a898))
% 182.20/182.05 [3325]E(f318(f29(a898),f318(f273(a898),x33251)),x33251)
% 182.20/182.05 [3326]E(f318(f74(a1),f318(f74(a1),x33261)),x33261)
% 182.20/182.05 [3337]E(f318(f318(f75(a898),f2(a898)),x33371),x33371)
% 182.20/182.05 [3338]E(f318(f318(f75(a1),f2(a1)),x33381),x33381)
% 182.20/182.05 [3339]E(f318(f318(f76(a898),f73(a898)),x33391),x33391)
% 182.20/182.05 [3340]E(f318(f318(f76(a1),f73(a1)),x33401),x33401)
% 182.20/182.05 [3341]E(f318(f318(f225(a898),f2(a898)),x33411),x33411)
% 182.20/182.05 [3347]E(f318(f318(f23(a898),f2(a898)),x33471),f2(a898))
% 182.20/182.06 [3348]E(f318(f318(f76(a898),f2(a898)),x33481),f2(a898))
% 182.20/182.06 [3349]E(f318(f318(f30(a1),f2(a1)),x33491),f2(a1))
% 182.20/182.06 [3350]E(f318(f318(f224(a898),f2(a898)),x33501),f2(a898))
% 182.20/182.06 [3360]E(f119(x33601,f318(f74(a1),x33601)),f123(a1,x33601))
% 182.20/182.06 [3365]E(f318(f293(a898,f2(a898)),x33651),f318(f273(a898),x33651))
% 182.20/182.06 [3366]E(f318(f318(f76(a1),a88),x33661),f318(f74(a1),x33661))
% 182.20/182.06 [3374]E(f318(a95,f318(f94(a1),x33741)),f318(f94(a898),x33741))
% 182.20/182.06 [3375]E(f318(a20,f318(f94(a90),x33751)),f318(f94(a898),x33751))
% 182.20/182.06 [3376]E(f318(f29(a898),f318(f292(a898),x33761)),f318(a103,x33761))
% 182.20/182.06 [3385]E(f318(f318(f75(a898),f73(a898)),x33851),f318(a103,x33851))
% 182.20/182.06 [3389]E(f318(f70(a1),f318(f91(a1),x33891)),f318(f91(a1),x33891))
% 182.20/182.06 [3390]E(f318(f93(a1),f318(f91(a1),x33901)),f318(f91(a1),x33901))
% 182.20/182.06 [3394]E(f318(f29(x33941),f179(f905(x33941,a894))),f2(a898))
% 182.20/182.06 [3396]E(f318(f318(f30(a898),x33961),f318(a103,f2(a898))),x33961)
% 182.20/182.06 [3405]E(f40(a898,x34051,f318(a103,f2(a898))),f2(a898))
% 182.20/182.06 [3406]E(f40(a1,x34061,f318(f94(a1),a88)),f2(a1))
% 182.20/182.06 [3421]E(f318(f318(f30(a1),x34211),f318(f94(a1),a88)),f318(f74(a1),x34211))
% 182.20/182.06 [3425]E(f130(a898,f318(f293(a898,x34251),f2(a898))),f104(a898))
% 182.20/182.06 [3426]E(f318(f318(f75(a1),x34261),f73(a1)),f318(f318(f23(a1),x34261),a88))
% 182.20/182.06 [3427]E(f318(f318(f23(a1),x34271),f73(a1)),f318(f318(f75(a1),x34271),a88))
% 182.20/182.06 [3431]P1(f318(f318(f226(a898),x34311),x34311))
% 182.20/182.06 [3432]P1(f318(f318(f226(a1),x34321),x34321))
% 182.20/182.06 [3433]P1(f318(f318(f278(a898),x34331),x34331))
% 182.20/182.06 [3438]E(f318(f74(a1),f318(f94(a1),x34381)),f318(f94(a1),f318(f74(a1),x34381)))
% 182.20/182.06 [3439]P1(f318(f28(a898),f318(f273(a898),x34391)))
% 182.20/182.06 [3440]P1(f318(f28(a898),f318(f292(a898),x34401)))
% 182.20/182.06 [3447]E(f152(x34471,f233(f905(x34471,a894))),f233(f905(f899(x34471),a894)))
% 182.20/182.06 [3452]P1(f318(f318(f226(a898),f2(a898)),x34521))
% 182.20/182.06 [3462]E(f318(f318(f75(a898),f102(x34621)),f318(a103,f2(a898))),f102(f318(a103,x34621)))
% 182.20/182.06 [3463]E(f318(f253(x34631),f318(f16(a894,x34631),a230)),f179(f905(x34631,a894)))
% 182.20/182.06 [3464]E(f318(f253(x34641),f318(f16(a894,x34641),a178)),f233(f905(x34641,a894)))
% 182.20/182.06 [3467]E(f318(f318(f300(a898),x34671),f318(f273(a898),x34671)),f318(f273(a898),f318(a103,x34671)))
% 182.20/182.06 [3479]E(f318(f318(f75(a1),f73(a1)),f318(f91(a1),x34791)),f318(f91(a1),f318(a103,x34791)))
% 182.20/182.06 [3481]E(f318(f318(f142(f899(x34811)),f104(x34811)),f104(f899(x34811))),f49(x34811,f104(x34811)))
% 182.20/182.06 [3499]E(f179(f905(f904(x34991,x34991),a894)),f254(x34991,f179(f905(x34991,a894))))
% 182.20/182.06 [3500]E(f318(f299(x35001),f233(f905(x35001,a894))),f233(f905(f905(x35001,a894),a894)))
% 182.20/182.06 [3501]E(f318(f74(f905(x35011,a894)),f179(f905(x35011,a894))),f233(f905(x35011,a894)))
% 182.20/182.06 [3502]E(f318(f74(f905(x35021,a894)),f233(f905(x35021,a894))),f179(f905(x35021,a894)))
% 182.20/182.06 [3504]P1(f318(f28(x35041),f179(f905(x35041,a894))))
% 182.20/182.06 [3506]E(f318(f293(a898,x35061),f318(a103,x35061)),f318(f318(f300(a898),x35061),f179(f905(a898,a894))))
% 182.20/182.06 [3507]E(f80(f904(a898,a898),f43(x35071,f2(a898))),f318(f318(f243(a898,a898),f2(a898)),x35071))
% 182.20/182.06 [3520]E(f318(f318(f300(a898),f318(a103,x35201)),f318(f292(a898),x35201)),f318(f292(a898),f318(a103,x35201)))
% 182.20/182.06 [3524]P36(x35241,f179(f905(f904(x35241,x35241),a894)))
% 182.20/182.06 [3525]P38(x35251,f179(f905(f904(x35251,x35251),a894)))
% 182.20/182.06 [3528]P1(f318(f318(f226(a1),f2(a1)),f318(f91(a1),x35281)))
% 182.20/182.06 [3535]E(f318(f318(f75(a898),f318(f180(a898),x35351)),f318(a103,f2(a898))),f318(f180(a898),f318(a103,x35351)))
% 182.20/182.06 [3638]P39(f318(f301(a898,a1,f91(a1)),x36381))
% 182.20/182.06 [3676]P51(x36761,f179(f905(x36761,a894)),f179(f905(f904(x36761,x36761),a894)))
% 182.20/182.06 [3694]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f23(a1),x36941),f73(a1))),f45(f318(f94(a1),a88),x36941))
% 182.20/182.06 [3746]P58(x37461,f318(f16(f905(x37461,a894),x37461),f318(f16(a894,x37461),a230)))
% 182.20/182.06 [3758]E(f281(a898,f278(a898),x37581,x37581),f318(f318(f300(a898),x37581),f179(f905(a898,a894))))
% 182.20/182.06 [3947]P1(f318(f318(f320(f905(f904(a898,a898),a894)),f319(x39471)),a89))
% 182.20/182.06 [3972]P1(f318(f318(f320(f905(f904(a898,a898),a894)),f318(a97,x39721)),a89))
% 182.20/182.06 [4104]P24(x41041,f905(x41041,a894),f318(f318(f7(x41041,f905(x41041,a894),f905(x41041,a894)),f300(x41041)),f179(f905(x41041,a894))),f233(f905(x41041,a894)))
% 182.20/182.06 [4584]~E(f318(f318(f75(a1),x45841),x45841),a88)
% 182.20/182.06 [4597]~E(f318(a3,f318(a103,f318(a20,x45971))),f2(a90))
% 182.20/182.06 [4603]~P1(f318(a184,f318(f91(a1),x46031)))
% 182.20/182.06 [4606]~P1(f318(f318(f227(a898),x46061),x46061))
% 182.20/182.06 [4615]~P1(f318(f318(f226(a898),f318(a103,x46151)),x46151))
% 182.20/182.06 [3454]E(f318(a95,f318(f74(a1),f318(f91(a1),x34541))),f2(a898))
% 182.20/182.06 [3457]E(f318(f318(f75(a1),f318(f74(a1),x34571)),x34571),f2(a1))
% 182.20/182.06 [3461]E(f318(f29(a1),f318(f293(a1,f2(a1)),x34611)),f318(a95,x34611))
% 182.20/182.06 [3472]E(f318(f318(f235(a898),f318(a103,f2(a898))),x34721),f318(a103,f2(a898)))
% 182.20/182.06 [3565]E(f318(f272(x35651),f179(f905(f904(x35651,x35651),a894))),f179(f905(x35651,a894)))
% 182.20/182.06 [3573]E(f32(f905(x35731,a894),f179(f905(f905(x35731,a894),a894))),f233(f905(x35731,a894)))
% 182.20/182.06 [3574]E(f32(f905(x35741,a894),f233(f905(f905(x35741,a894),a894))),f179(f905(x35741,a894)))
% 182.20/182.06 [3575]E(f31(f905(x35751,a894),f179(f905(f905(x35751,a894),a894))),f179(f905(x35751,a894)))
% 182.20/182.06 [3576]E(f31(f905(x35761,a894),f233(f905(f905(x35761,a894),a894))),f233(f905(x35761,a894)))
% 182.20/182.06 [3580]P1(f318(f318(f278(a898),f318(a103,f2(a898))),x35801))
% 182.20/182.06 [3621]E(f318(f318(f300(f899(x36211)),f104(x36211)),f179(f905(f899(x36211),a894))),f152(x36211,f179(f905(x36211,a894))))
% 182.20/182.06 [3622]E(f318(f318(f300(f899(x36221)),f104(x36221)),f179(f905(f899(x36221),a894))),f153(x36221,f104(f905(x36221,a894))))
% 182.20/182.06 [3660]E(f318(f318(f75(a898),f4(x36601)),f318(a103,f2(a898))),f4(f318(a3,f318(a103,f318(a20,x36601)))))
% 182.20/182.06 [3685]E(f318(f29(a1),f318(f301(a898,a1,f91(a1)),x36851)),f318(f29(a898),x36851))
% 182.20/182.06 [3688]P1(f318(f318(f226(a898),x36881),f318(f318(f76(a898),x36881),x36881)))
% 182.20/182.06 [3724]E(f318(f301(a1,a898,a95),f294(a1,f2(a1),f318(f91(a1),x37241))),f318(f292(a898),x37241))
% 182.20/182.06 [3741]E(f318(f318(f30(a898),f318(a103,f2(a898))),f318(f94(a898),x37411)),f318(a95,f318(f318(f30(a1),f73(a1)),f318(f94(a1),x37411))))
% 182.20/182.06 [3743]E(f318(f163(a898),f130(a898,f318(f293(a898,f2(a898)),f318(a103,x37431)))),f318(f292(a898),x37431))
% 182.20/182.06 [3744]E(f318(f318(f75(a898),f318(f180(a90),x37441)),f318(a103,f2(a898))),f318(f180(a90),f318(a3,f318(a103,f318(a20,x37441)))))
% 182.20/182.06 [3764]P38(x37641,f298(x37641,f179(f905(f904(x37641,x37641),a894))))
% 182.20/182.06 [3765]P50(x37651,f298(x37651,f179(f905(f904(x37651,x37651),a894))))
% 182.20/182.06 [3766]E(f318(f301(a1,a898,a95),f318(f301(a898,a1,f91(a1)),x37661)),x37661)
% 182.20/182.06 [3796]E(f318(f318(f300(a898),f2(a898)),f318(f301(a898,a898,a103),f318(f273(a898),x37961))),f318(f273(a898),f318(a103,x37961)))
% 182.20/182.06 [3802]P53(x38021,x38021,f298(x38021,f179(f905(f904(x38021,x38021),a894))))
% 182.20/182.06 [3808]P1(f318(a184,f318(f74(a1),f318(f91(a1),f318(a103,x38081)))))
% 182.20/182.06 [3818]E(f318(f318(f23(f905(a898,a894)),f318(f274(a898),x38181)),f318(f318(f300(a898),x38181),f179(f905(a898,a894)))),f318(f274(a898),f318(a103,x38181)))
% 182.20/182.06 [3835]E(f318(f318(f75(a1),f318(f318(f23(a1),a78),x38351)),f318(f318(f23(a1),a78),x38351)),f318(f318(f23(a1),a78),f318(f318(f75(a1),x38351),x38351)))
% 182.20/182.06 [3849]E(f318(f318(f300(f905(x38491,a894)),f179(f905(x38491,a894))),f179(f905(f905(x38491,a894),a894))),f318(f299(x38491),f179(f905(x38491,a894))))
% 182.20/182.06 [3877]E(f318(f318(f23(f905(a898,a894)),f318(f295(a898),x38771)),f318(f318(f300(a898),f318(a103,x38771)),f179(f905(a898,a894)))),f318(f295(a898),f318(a103,x38771)))
% 182.20/182.06 [3984]E(f318(f94(a898),f318(f318(f75(a1),x39841),x39841)),f318(f318(f81(a898,a898),f318(f94(a898),x39841)),f318(f318(f18(a898,a898,a898),f75(a898)),f5(a898))))
% 182.20/182.06 [4358]P14(x43581,f905(x43581,a894),f318(f318(f8(f905(x43581,a894),f905(f905(x43581,a894),f905(x43581,a894)),x43581),f318(f7(f905(x43581,a894),f905(x43581,a894),f905(x43581,a894)),f23(f905(x43581,a894)))),f318(f318(f7(x43581,f905(x43581,a894),f905(x43581,a894)),f300(x43581)),f179(f905(x43581,a894)))))
% 182.20/182.06 [4445]E(f318(f253(f904(a1,a1)),f318(f248(a1,a1,a894),f318(f318(f8(f905(a1,a894),f905(a1,a894),a1),f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),x44451)))),f227(a1)))),f98(x44451))
% 182.20/182.06 [4478]E(f318(f253(f904(a1,a1)),f318(f248(a1,a1,a894),f318(f318(f18(a1,f905(a1,a894),f905(a1,a894)),f318(f318(f8(f905(a894,a894),f905(f905(a1,a894),f905(a1,a894)),a1),f8(a894,a894,a1)),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),x44781)))),f227(a1)))),f96(x44781))
% 182.20/182.06 [4531]E(f318(f253(f904(f905(x45311,a894),f905(x45311,a894))),f318(f248(f905(x45311,a894),f905(x45311,a894),a894),f318(f318(f7(f905(x45311,a894),f905(f905(x45311,a894),a894),f905(f905(x45311,a894),a894)),f318(f318(f8(f905(f905(x45311,a894),f905(a894,a894)),f905(f905(f905(x45311,a894),a894),f905(f905(x45311,a894),a894)),f905(x45311,a894)),f18(f905(x45311,a894),a894,a894)),f318(f318(f8(f905(f905(x45311,a894),a894),f905(f905(x45311,a894),f905(a894,a894)),f905(x45311,a894)),f318(f8(a894,f905(a894,a894),f905(x45311,a894)),a316)),f227(f905(x45311,a894))))),f28(x45311)))),f305(x45311))
% 182.20/182.06 [4619]~P1(f318(f28(f899(x46191)),f233(f905(f899(x46191),a894))))
% 182.20/182.06 [4631]~P1(f318(f318(f226(a1),f2(a1)),f318(f74(a1),f318(f91(a1),f318(a103,x46311)))))
% 182.20/182.06 [3600]E(f318(f318(f23(a1),f318(f318(f75(a1),x36001),a88)),a88),x36001)
% 182.20/182.06 [3614]E(f318(f163(a898),f130(a898,f318(f293(a898,f2(a898)),x36141))),f318(f273(a898),x36141))
% 182.20/182.06 [3856]E(f318(f318(f75(a1),f318(f318(f75(a1),f73(a1)),x38561)),x38561),f318(f318(f23(a1),f318(f318(f75(a1),x38561),x38561)),a88))
% 182.20/182.06 [3904]E(f318(f277(x39041,x39041),f298(x39041,f179(f905(f904(x39041,x39041),a894)))),f298(x39041,f179(f905(f904(x39041,x39041),a894))))
% 182.20/182.06 [3950]P1(f318(f318(f226(a898),x39501),f318(f318(f76(a898),x39501),f318(f318(f76(a898),x39501),x39501))))
% 182.20/182.06 [4221]P1(f318(f28(a898),f318(f253(a898),f318(f318(f7(a898,a898,a894),f226(a898)),x42211))))
% 182.20/182.06 [4222]P1(f318(f28(a898),f318(f253(a898),f318(f318(f7(a898,a898,a894),f227(a898)),x42221))))
% 182.20/182.06 [4494]E(f318(f253(f904(x44941,x44941)),f318(f318(f8(f905(x44941,a894),a894,f904(x44941,x44941)),f82(x44941)),f318(f318(f7(f904(x44941,x44941),f905(x44941,f904(x44941,x44941)),f905(x44941,a894)),f318(f318(f8(f905(f904(x44941,x44941),a894),f905(f905(x44941,f904(x44941,x44941)),f905(x44941,a894)),f904(x44941,x44941)),f8(f904(x44941,x44941),a894,x44941)),a315)),f318(f318(f18(x44941,x44941,f904(x44941,x44941)),f243(x44941,x44941)),f5(x44941))))),f298(x44941,f179(f905(f904(x44941,x44941),a894))))
% 182.20/182.06 [4621]~E(f318(f318(f23(a1),f318(f318(f75(a1),x46211),x46211)),a88),a78)
% 182.20/182.06 [4623]~E(f318(f318(f75(a1),f318(f318(f75(a1),f73(a1)),x46231)),x46231),f2(a1))
% 182.20/182.06 [3994]E(f318(f318(f75(a1),f318(f318(f23(a1),a88),x39941)),f318(f318(f23(a1),a88),x39941)),f318(f318(f23(a1),a88),f318(f318(f23(a1),f318(f318(f75(a1),x39941),x39941)),a88)))
% 182.20/182.06 [4112]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),a88),x41121)),f318(f318(f23(a1),a88),x41121))),a88),f318(f318(f23(a1),a88),f318(f318(f75(a1),x41121),x41121)))
% 182.20/182.06 [4144]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f75(a1),x41441),a88)),f318(f318(f75(a1),x41441),a88))),a88),f318(f318(f75(a1),f318(f318(f75(a1),x41441),x41441)),a88))
% 182.20/182.06 [4182]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),a88),x41821)),f318(f318(f23(a1),a88),x41821))),a88),f318(f318(f23(a1),a78),f318(f318(f23(a1),f318(f318(f75(a1),x41821),x41821)),a88)))
% 182.20/182.06 [4279]E(f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x42791),f2(a898))),f179(f905(f904(a898,a898),a894))))),f318(f91(a1),x42791))
% 182.20/182.06 [4289]E(f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),f323(x42891)),f465(x42891))),f179(f905(f904(a898,a898),a894))))),x42891)
% 182.20/182.06 [4322]E(f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x43221)),f318(f301(a898,a1,f91(a1)),f318(f253(a898),f318(f318(f8(a1,a894,a898),x43221),f91(a1)))))
% 182.20/182.06 [4366]P39(f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x43661)))
% 182.20/182.06 [4386]P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x43861),f179(f905(f904(a898,a898),a894)))),a66))
% 182.20/182.06 [4391]E(f318(f301(a1,a898,a95),f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),f318(f318(f8(a898,a894,a1),x43911),a95)))),f318(f253(a898),x43911))
% 182.20/182.06 [4546]E(f303(a898,f318(f318(f34(f904(a898,a898),f905(a898,a894)),f318(a97,x45461)),f318(f248(a898,a898,f905(a898,a894)),f318(f318(f7(a898,f905(a898,a894),f905(a898,f905(a898,a894))),f318(f318(f8(f905(a898,f905(f905(a898,a894),f905(a898,a894))),f905(f905(a898,a894),f905(a898,f905(a898,a894))),a898),f7(a898,f905(a898,a894),f905(a898,a894))),f318(f318(f8(f905(a898,a898),f905(a898,f905(f905(a898,a894),f905(a898,a894))),a898),f318(f8(a898,f905(f905(a898,a894),f905(a898,a894)),a898),f300(a898))),f23(a898)))),f179(f905(a898,a894)))))),f318(a95,x45461))
% 182.20/182.06 [4039]E(f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),x40391),x40391)),a88)),a88),f318(f318(f75(a1),x40391),x40391))
% 182.20/182.06 [4091]E(f318(f318(f23(a1),f318(f318(f23(a1),f318(f318(f75(a1),x40911),x40911)),a88)),a88),f318(f318(f75(a1),f318(f318(f23(a1),x40911),a88)),f318(f318(f23(a1),x40911),a88)))
% 182.20/182.06 [4295]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f75(a1),f318(f74(a1),x42951)),a88)),f318(f318(f75(a1),f318(f74(a1),x42951)),a88))),a88),f318(f74(a1),f318(f318(f23(a1),f318(f318(f75(a1),x42951),x42951)),a88)))
% 182.20/182.06 [4339]E(f318(f318(f75(a898),x43391),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(a103,f318(a103,x43391)))
% 182.20/182.06 [4340]E(f318(f318(f76(a898),x43401),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f75(a898),x43401),x43401))
% 182.20/182.06 [4341]E(f318(f318(f30(a898),f318(f318(f75(a898),x43411),x43411)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x43411)
% 182.20/182.06 [4419]E(f40(a898,f318(a103,f318(a103,x44191)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a898,x44191,f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [4560]E(f318(a84,f318(f318(f34(f904(a898,a898),f905(f904(a898,a898),a894)),f318(a97,x45601)),f318(f248(a898,a898,f905(f904(a898,a898),a894)),f318(f318(f8(f905(a898,f905(f904(a898,a898),a894)),f905(a898,f905(f904(a898,a898),a894)),a898),f318(f8(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894),a898),f276(f904(a898,a898),f904(a898,a898),a99))),f318(f318(f7(a898,f905(f904(a898,a898),a894),f905(a898,f905(f904(a898,a898),a894))),f318(f318(f8(f905(a898,f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f905(f905(f904(a898,a898),a894),f905(a898,f905(f904(a898,a898),a894))),a898),f7(a898,f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f8(f905(a898,f904(a898,a898)),f905(a898,f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),a898),f318(f8(f904(a898,a898),f905(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),a898),f300(f904(a898,a898)))),f318(f7(a898,a898,f904(a898,a898)),f243(a898,a898))))),f179(f905(f904(a898,a898),a894))))))),f318(f74(a1),x45601))
% 182.20/182.06 [4414]E(f318(f318(f75(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x44141),f318(a103,f318(a103,x44141)))
% 182.20/182.06 [4415]E(f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x44151),f318(f318(f75(a898),x44151),x44151))
% 182.20/182.06 [4451]E(f318(f318(f30(a898),f318(a103,f318(a103,x44511))),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(a103,f318(f318(f30(a898),x44511),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [4501]E(f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45011),f318(a103,f318(a103,f318(a103,x45011))))
% 182.20/182.06 [4567]E(f318(f248(a1,a1,f904(a1,a1)),f318(f318(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f318(f318(f8(f905(a1,f904(a1,a1)),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f318(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f318(f318(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f87(f904(a1,a1))),f318(f318(f8(a1,a894,a1),f318(f226(a1),f2(a1))),f318(f318(f7(a1,a1,a1),f23(a1)),x45671))))),f318(f318(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f318(f318(f7(a1,a1,a1),f318(f318(f8(a1,f905(a1,a1),a1),f75(a1)),f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f73(a1))))),f318(f318(f7(a1,a1,a1),f23(a1)),x45671))))),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))),f38(x45671))
% 182.20/182.06 [3278]P107(f903(x32781,x32782))
% 182.20/182.06 [3279]P107(f904(x32791,x32792))
% 182.20/182.06 [3280]P107(f902(x32801,x32802))
% 182.20/182.06 [3299]P13(a1,f169(x32991,x32992))
% 182.20/182.06 [3300]P36(x33001,f144(x33001,x33002))
% 182.20/182.06 [3301]P37(x33011,f254(x33011,x33012))
% 182.20/182.06 [3302]P37(x33021,f298(x33021,x33022))
% 182.20/182.06 [3303]P38(x33031,f254(x33031,x33032))
% 182.20/182.06 [3304]P50(x33041,f254(x33041,x33042))
% 182.20/182.06 [3367]P30(x33671,x33672,f104(x33671))
% 182.20/182.06 [3400]P51(x34001,x34002,f254(x34001,x34002))
% 182.20/182.06 [3401]P53(x34011,x34011,f254(x34011,x34012))
% 182.20/182.06 [3663]P24(x36631,x36631,f5(x36631),x36632)
% 182.20/182.06 [3664]P24(x36641,x36641,f25(x36641),x36642)
% 182.20/182.06 [3672]P31(x36721,x36722,f104(x36721),f104(x36721))
% 182.20/182.06 [3679]P24(f899(x36791),f899(x36791),f159(x36791),x36792)
% 182.20/182.06 [4081]P25(x40811,x40811,f25(x40811),x40812,x40812)
% 182.20/182.06 [4592]~P32(x45921,x45922,f104(x45921))
% 182.20/182.06 [4593]~P34(x45931,x45932,f104(x45931))
% 182.20/182.06 [3264]E(f318(f5(x32641),x32642),x32642)
% 182.20/182.06 [3265]E(f318(f253(x32651),x32652),x32652)
% 182.20/182.06 [3267]E(f318(f25(x32671),x32672),x32672)
% 182.20/182.06 [3277]E(f318(f182(x32771),x32772),f106(x32771))
% 182.20/182.06 [3297]E(f80(x32971,f318(a315,x32972)),x32972)
% 182.20/182.06 [3298]E(f85(x32981,f318(a315,x32982)),x32982)
% 182.20/182.06 [3320]E(f318(f116(x33201,x33202),f110(x33201)),f2(a898))
% 182.20/182.06 [3323]E(f318(f127(x33231,x33232),f104(x33231)),f104(x33231))
% 182.20/182.06 [3343]E(f298(x33431,f298(x33431,x33432)),f298(x33431,x33432))
% 182.20/182.06 [3344]E(f143(x33441,f143(x33441,x33442)),f143(x33441,x33442))
% 182.20/182.06 [3362]E(f318(f318(f125(x33621),x33622),f104(x33621)),x33622)
% 182.20/182.06 [3368]E(f164(x33681,x33682,f104(x33681)),x33682)
% 182.20/182.06 [3369]E(f164(x33691,f104(x33691),x33692),x33692)
% 182.20/182.06 [3370]E(f107(x33701,f110(x33701),x33702),x33702)
% 182.20/182.06 [3371]E(f160(x33711,f2(a898),x33712),f104(x33711))
% 182.20/182.06 [3377]E(f318(f318(f166(x33771),x33772),f104(x33771)),f104(x33771))
% 182.20/182.06 [3378]E(f318(f318(f129(x33781),x33782),f104(x33781)),f104(x33781))
% 182.20/182.06 [3380]E(f146(x33801,x33802,f104(x33801)),f2(a898))
% 182.20/182.06 [3382]E(f161(x33821,x33822,f104(x33821)),f104(x33821))
% 182.20/182.06 [3383]E(f168(x33831,x33832,f104(x33831)),f104(x33831))
% 182.20/182.06 [3384]E(f167(x33841,f104(x33841),x33842),f104(x33841))
% 182.20/182.06 [3388]E(f318(f163(x33881),f143(x33881,x33882)),f318(f163(x33881),x33882))
% 182.20/182.06 [3391]E(f318(f275(x33911,x33911),f254(x33911,x33912)),x33912)
% 182.20/182.06 [3392]E(f318(f255(x33921,x33921),f254(x33921,x33922)),x33922)
% 182.20/182.06 [3399]E(f318(f277(x33991,x33991),f254(x33991,x33992)),f254(x33991,x33992))
% 182.20/182.06 [3413]E(f298(f899(x34131),f148(x34131,x34132)),f149(x34131,f298(x34131,x34132)))
% 182.20/182.06 [3415]P1(f318(f128(a1),f169(x34151,x34152)))
% 182.20/182.06 [3423]E(f318(f275(x34231,x34231),f298(x34231,x34232)),f233(f905(x34231,a894)))
% 182.20/182.06 [3424]E(f318(f255(x34241,x34241),f298(x34241,x34242)),f233(f905(x34241,a894)))
% 182.20/182.06 [3428]P1(f318(f128(x34281),f143(x34281,x34282)))
% 182.20/182.06 [3430]P1(f318(f151(x34301,x34302),f104(x34301)))
% 182.20/182.06 [3436]E(f318(f163(a1),f169(x34361,x34362)),f294(a1,x34361,x34362))
% 182.20/182.06 [3450]P54(x34501,f179(f905(x34501,a894)),x34502)
% 182.20/182.06 [3455]E(f318(f247(a1,a1),f41(x34551,x34552)),f40(a1,x34551,x34552))
% 182.20/182.06 [3456]E(f318(f293(a898,x34561),f318(a103,x34562)),f294(a898,x34561,x34562))
% 182.20/182.06 [3471]E(f318(f318(f142(x34711),x34712),f104(x34711)),f131(x34711,x34712,f104(x34711)))
% 182.20/182.06 [3483]E(f294(a898,f318(a103,x34831),x34832),f296(a898,x34831,x34832))
% 182.20/182.06 [3484]P51(x34841,f233(f905(x34841,a894)),f298(x34841,x34842))
% 182.20/182.06 [3546]E(f318(f318(f23(a898),x35461),f318(a103,x35462)),f318(f29(a898),f297(a898,x35462,x35461)))
% 182.20/182.06 [3601]E(f157(x36011,x36012,f104(x36011)),f318(f318(f243(f899(x36011),f899(x36011)),f104(x36011)),f104(x36011)))
% 182.20/182.06 [3619]E(f318(f248(x36191,x36192,f904(x36191,x36192)),f243(x36191,x36192)),f25(f904(x36191,x36192)))
% 182.20/182.06 [3623]P1(f318(f318(f320(f899(x36231)),f104(x36231)),f152(x36231,x36232)))
% 182.20/182.06 [3624]E(f318(f180(f899(x36241)),f105(x36241,x36242)),f318(f318(f23(a898),f318(f180(f899(x36241)),x36242)),f73(a898)))
% 182.20/182.06 [3632]P1(f318(f28(a898),f294(a898,x36321,x36322)))
% 182.20/182.06 [3633]P1(f318(f28(a898),f297(a898,x36331,x36332)))
% 182.20/182.06 [3634]P1(f318(f28(a898),f296(a898,x36341,x36342)))
% 182.20/182.06 [3635]P1(f318(f28(a1),f294(a1,x36351,x36352)))
% 182.20/182.06 [3636]P1(f318(f28(a1),f297(a1,x36361,x36362)))
% 182.20/182.06 [3637]P1(f318(f28(a1),f296(a1,x36371,x36372)))
% 182.20/182.06 [3740]E(f318(f301(a898,a898,a103),f294(a898,x37401,x37402)),f294(a898,f318(a103,x37401),f318(a103,x37402)))
% 182.20/182.06 [3760]E(f318(f318(f280(x37601,x37601,x37601),f298(x37601,x37602)),f298(x37601,x37602)),f298(x37601,x37602))
% 182.20/182.06 [3794]E(f318(f318(f243(a90,a90),f318(f318(f30(a90),x37941),x37942)),f40(a90,x37941,x37942)),f21(x37941,x37942))
% 182.20/182.06 [3795]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x37951),x37952)),f40(a1,x37951,x37952)),f41(x37951,x37952))
% 182.20/182.06 [3822]E(f318(f318(f243(a898,a898),f318(f318(f30(a898),x38221),x38222)),f40(a898,x38221,x38222)),f80(f904(a898,a898),f43(x38221,x38222)))
% 182.20/182.06 [3873]P1(f318(f318(f227(a898),f318(f318(f23(a898),x38731),x38732)),f318(a103,x38731)))
% 182.20/182.06 [3921]P37(x39211,f318(f318(f280(x39211,x39211,x39211),x39212),f298(x39211,x39212)))
% 182.20/182.06 [3971]E(f318(f318(f75(a1),f318(f318(f76(a1),x39711),f318(f318(f30(a1),x39712),x39711))),f40(a1,x39712,x39711)),x39712)
% 182.20/182.06 [3975]E(f318(f318(f34(a898,f905(f904(f899(x39751),f899(x39751)),a894)),f233(f905(a898,a894))),f134(x39751,x39752)),f136(x39751,x39752))
% 182.20/182.06 [4198]P1(f318(f318(f320(f904(f899(x41981),f899(x41981))),f318(f318(f243(f899(x41981),f899(x41981)),f104(x41981)),f104(x41981))),f149(x41981,x41982)))
% 182.20/182.06 [4307]E(f244(x43071,x43071,x43071,a315,f244(x43071,x43071,x43071,x43072,a315)),x43072)
% 182.20/182.06 [4351]E(f249(x43511,x43511,x43512,x43512,f5(x43511),f5(x43512)),f25(f904(x43511,x43512)))
% 182.20/182.06 [4353]E(f249(x43531,x43531,x43532,x43532,f25(x43531),f25(x43532)),f25(f904(x43531,x43532)))
% 182.20/182.06 [3361]E(f318(f159(x33611),f318(f159(x33611),x33612)),x33612)
% 182.20/182.06 [3363]E(f318(f318(f129(x33631),f2(a898)),x33632),x33632)
% 182.20/182.06 [3379]E(f318(f318(f166(x33791),f2(a898)),x33792),f104(x33791))
% 182.20/182.06 [3386]E(f318(f318(f125(x33861),f104(x33861)),x33862),x33862)
% 182.20/182.06 [3395]E(f31(f905(x33951,a894),f318(f299(x33951),x33952)),x33952)
% 182.20/182.06 [3397]E(f318(f163(x33971),f318(f158(x33971),x33972)),f318(f163(x33971),x33972))
% 182.20/182.06 [3398]E(f318(f163(x33981),f318(f159(x33981),x33982)),f318(f163(x33981),x33982))
% 182.20/182.06 [3403]E(f318(f318(f23(a90),x34031),x34032),f318(f318(a24,x34031),x34032))
% 182.20/182.06 [3417]E(f318(f318(f75(a898),x34171),x34172),f318(f318(f75(a898),x34172),x34171))
% 182.20/182.06 [3418]E(f318(f318(f75(a1),x34181),x34182),f318(f318(f75(a1),x34182),x34181))
% 182.20/182.06 [3419]E(f318(f318(f76(a898),x34191),x34192),f318(f318(f76(a898),x34192),x34191))
% 182.20/182.06 [3420]E(f318(f318(f76(a1),x34201),x34202),f318(f318(f76(a1),x34202),x34201))
% 182.20/182.06 [3442]E(f318(f318(f174(x34421,x34421),f2(a898)),x34422),f25(x34421))
% 182.20/182.06 [3443]E(f318(f180(f899(x34431)),f318(f158(x34431),x34432)),f318(f180(f899(x34431)),x34432))
% 182.20/182.06 [3444]E(f318(f180(f899(x34441)),f318(f159(x34441),x34442)),f318(f180(f899(x34441)),x34442))
% 182.20/182.06 [3445]E(f167(x34451,x34452,f179(f905(a898,a894))),f104(x34451))
% 182.20/182.06 [3446]E(f318(f318(f145(x34461,x34461),f5(x34461)),x34462),x34462)
% 182.20/182.06 [3448]E(f318(f242(a1,a1),f41(x34481,x34482)),f318(f318(f30(a1),x34481),x34482))
% 182.20/182.06 [3465]E(f318(f180(f899(x34651)),f143(x34651,x34652)),f318(f29(x34651),f318(f163(x34651),x34652)))
% 182.20/182.06 [3466]E(f318(f272(x34661),f318(f277(x34661,x34661),x34662)),f318(f272(x34661),x34662))
% 182.20/182.06 [3470]P1(f318(f28(x34701),f318(f163(x34701),x34702)))
% 182.20/182.06 [3478]E(f318(f318(f75(a1),x34781),f318(f74(a1),x34782)),f318(f318(f23(a1),x34781),x34782))
% 182.20/182.06 [3485]E(f318(f301(x34851,x34851,f5(x34851)),x34852),x34852)
% 182.20/182.06 [3486]E(f318(f301(x34861,x34861,f25(x34861)),x34862),x34862)
% 182.20/182.06 [3487]E(f318(f302(x34871,x34871,f5(x34871)),x34872),x34872)
% 182.20/182.06 [3488]E(f318(f302(x34881,x34881,f25(x34881)),x34882),x34882)
% 182.20/182.06 [3489]P1(f318(f233(f905(x34891,a894)),x34892))
% 182.20/182.06 [3491]E(f318(f29(a898),f318(f293(a898,x34911),x34912)),f318(f318(f23(a898),x34912),x34911))
% 182.20/182.06 [3492]E(f318(f293(a898,f318(a103,x34921)),x34922),f297(a898,x34921,x34922))
% 182.20/182.06 [3505]E(f318(f318(f300(x35051),x35052),f179(f905(x35051,a894))),f318(f253(x35051),f318(a315,x35052)))
% 182.20/182.06 [3510]E(f298(x35101,f318(f277(x35101,x35101),x35102)),f318(f277(x35101,x35101),f298(x35101,x35102)))
% 182.20/182.06 [3515]E(f318(f318(f75(a898),f318(a103,x35151)),x35152),f318(f318(f75(a898),x35151),f318(a103,x35152)))
% 182.20/182.06 [3516]E(f318(f318(f23(a898),f318(a103,x35161)),f318(a103,x35162)),f318(f318(f23(a898),x35161),x35162))
% 182.20/182.06 [3522]E(f50(x35221,f2(a898),x35222),f318(f318(f142(f899(x35221)),f104(x35221)),f104(f899(x35221))))
% 182.20/182.06 [3523]E(f318(f29(a898),f296(a898,x35231,x35232)),f318(f318(f23(a898),x35232),x35231))
% 182.20/182.06 [3532]P36(x35321,f318(f318(f279(a898,x35321),a231),x35322))
% 182.20/182.06 [3534]P13(a898,f130(a898,f318(f293(a898,x35341),x35342)))
% 182.20/182.06 [3536]P1(f318(f28(a898),f318(f293(a898,x35361),x35362)))
% 182.20/182.06 [3537]P1(f318(f28(a1),f318(f293(a1,x35371),x35372)))
% 182.20/182.06 [3540]E(f318(f277(f899(x35401),f899(x35401)),f148(x35401,x35402)),f148(x35401,f318(f277(x35401,x35401),x35402)))
% 182.20/182.06 [3542]E(f318(f293(a1,x35421),f318(f318(f75(a1),x35422),f73(a1))),f294(a1,x35421,x35422))
% 182.20/182.06 [3545]E(f318(f318(f30(a1),f318(f74(a1),x35451)),f318(f74(a1),x35452)),f318(f318(f30(a1),x35451),x35452))
% 182.20/182.06 [3553]E(f318(f318(f174(f904(x35531,x35531),a894),f73(a898)),x35532),x35532)
% 182.20/182.06 [3555]E(f318(f318(f23(f905(x35551,a894)),x35552),f179(f905(x35551,a894))),x35552)
% 182.20/182.06 [3556]E(f318(f318(f92(f905(x35561,a894)),x35562),f233(f905(x35561,a894))),x35562)
% 182.20/182.06 [3557]E(f318(f318(f101(f905(x35571,a894)),x35572),f179(f905(x35571,a894))),x35572)
% 182.20/182.06 [3558]E(f318(f242(a898,a898),f80(f904(a898,a898),f43(x35581,x35582))),f318(f318(f30(a898),x35581),x35582))
% 182.20/182.06 [3564]E(f294(a1,f318(f318(f75(a1),x35641),f73(a1)),x35642),f296(a1,x35641,x35642))
% 182.20/182.06 [3569]E(f318(f247(a898,a898),f80(f904(a898,a898),f43(x35691,x35692))),f40(a898,x35691,x35692))
% 182.20/182.06 [3579]P1(f318(f318(f320(x35791),x35792),f233(f905(x35791,a894))))
% 182.20/182.06 [3584]E(f318(f318(f23(a898),f318(a103,x35841)),x35842),f318(f29(a898),f294(a898,x35842,x35841)))
% 182.20/182.06 [3610]E(f318(f318(f23(f905(x36101,a894)),x36102),f233(f905(x36101,a894))),f179(f905(x36101,a894)))
% 182.20/182.06 [3611]E(f318(f318(f92(f905(x36111,a894)),x36112),f179(f905(x36111,a894))),f179(f905(x36111,a894)))
% 182.20/182.06 [3612]E(f318(f318(f101(f905(x36121,a894)),x36122),f233(f905(x36121,a894))),f233(f905(x36121,a894)))
% 182.20/182.06 [3627]E(f40(a1,f318(f91(a1),x36271),f318(f91(a1),x36272)),f318(f91(a1),f40(a898,x36271,x36272)))
% 182.20/182.06 [3628]E(f40(a1,f318(f74(a1),x36281),f318(f74(a1),x36282)),f318(f74(a1),f40(a1,x36281,x36282)))
% 182.20/182.06 [3639]E(f318(f180(f899(x36391)),f318(f162(x36391),x36392)),f318(f318(f23(a898),f318(f180(f899(x36391)),x36392)),f73(a898)))
% 182.20/182.06 [3665]E(f318(f318(f30(a1),f40(a1,x36651,x36652)),x36652),f2(a1))
% 182.20/182.06 [3674]E(f318(a3,f40(a898,f318(a20,x36741),f318(a20,x36742))),f40(a90,x36741,x36742))
% 182.20/182.06 [3707]E(f318(a3,f318(f318(f23(a898),f318(a20,x37071)),f318(a20,x37072))),f318(f318(f23(a90),x37071),x37072))
% 182.20/182.06 [3708]E(f318(a3,f318(f318(f75(a898),f318(a20,x37081)),f318(a20,x37082))),f318(f318(f75(a90),x37081),x37082))
% 182.20/182.06 [3709]E(f318(a3,f318(f318(f76(a898),f318(a20,x37091)),f318(a20,x37092))),f318(f318(f76(a90),x37091),x37092))
% 182.20/182.06 [3710]E(f318(a3,f318(f318(f30(a898),f318(a20,x37101)),f318(a20,x37102))),f318(f318(f30(a90),x37101),x37102))
% 182.20/182.06 [3718]E(f318(f301(a898,a898,a103),f318(f293(a898,x37181),x37182)),f318(f293(a898,f318(a103,x37181)),f318(a103,x37182)))
% 182.20/182.06 [3745]P1(f318(f43(x37451,x37452),f80(f904(a898,a898),f43(x37451,x37452))))
% 182.20/182.06 [3769]E(f40(a898,f318(a103,f40(a898,x37691,x37692)),x37692),f40(a898,f318(a103,x37691),x37692))
% 182.20/182.06 [3781]E(f318(f318(f35(f905(x37811,a894),f905(x37811,a894)),x37812),f5(f905(x37811,a894))),f32(f905(x37811,a894),x37812))
% 182.20/182.06 [3782]E(f318(f318(f34(f905(x37821,a894),f905(x37821,a894)),x37822),f5(f905(x37821,a894))),f31(f905(x37821,a894),x37822))
% 182.20/182.06 [3783]E(f318(f301(f899(x37831),f905(x37831,a894),f163(x37831)),f318(f163(f899(x37831)),f49(x37831,x37832))),f318(f299(x37831),f318(f163(x37831),x37832)))
% 182.20/182.06 [3787]P1(f318(f318(f320(f905(x37871,a894)),x37872),f318(f299(x37871),x37872)))
% 182.20/182.06 [3793]E(f40(a1,f318(f74(a1),f40(a1,x37931,x37932)),x37932),f40(a1,f318(f74(a1),x37931),x37932))
% 182.20/182.06 [3804]P1(f318(f318(f226(f905(x38041,a894)),x38042),f233(f905(x38041,a894))))
% 182.20/182.06 [3806]E(f318(f318(f280(x38061,x38061,x38061),f298(x38061,x38062)),f298(x38061,f298(x38061,x38062))),f298(x38061,x38062))
% 182.20/182.06 [3807]E(f318(f318(f101(f905(x38071,a894)),f318(f255(x38071,x38071),x38072)),f318(f275(x38071,x38071),x38072)),f318(f272(x38071),x38072))
% 182.20/182.06 [3828]E(f304(x38281,x38282,f233(f905(x38281,a894)),f233(f905(x38282,a894))),f233(f905(f903(x38281,x38282),a894)))
% 182.20/182.06 [3878]P1(f318(f318(f226(a898),f40(a898,x38781,x38782)),x38781))
% 182.20/182.06 [3902]P1(f318(f318(f226(a1),f318(f74(a1),f318(f91(a1),x39021))),f318(f91(a1),x39022)))
% 182.20/182.06 [3926]P1(f318(f318(f320(f905(x39261,a894)),f179(f905(x39261,a894))),f318(f299(x39261),x39262)))
% 182.20/182.06 [3931]E(f298(x39311,f318(f318(f280(x39311,x39311,x39311),x39312),f298(x39311,x39312))),f298(x39311,x39312))
% 182.20/182.06 [3934]E(f318(f318(f280(x39341,x39341,x39341),f298(x39341,x39342)),x39342),f318(f318(f280(x39341,x39341,x39341),x39342),f298(x39341,x39342)))
% 182.20/182.06 [3936]E(f318(a95,f318(f318(f75(a1),f318(f318(f23(a1),x39361),x39362)),f73(a1))),f318(f29(a1),f294(a1,x39362,x39361)))
% 182.20/182.06 [3951]E(f318(f275(x39511,x39511),f318(f318(f280(x39511,x39511,x39511),x39512),f298(x39511,x39512))),f318(f275(x39511,x39511),x39512))
% 182.20/182.06 [3952]E(f318(f255(x39521,x39521),f318(f318(f280(x39521,x39521,x39521),x39522),f298(x39521,x39522))),f318(f255(x39521,x39521),x39522))
% 182.20/182.06 [3970]E(f318(f133(f899(x39701),f899(x39701),f125(x39701),f104(x39701)),f160(f899(x39701),x39702,f104(x39701))),f104(x39701))
% 182.20/182.06 [3979]P24(a898,a898,f318(f318(f7(a898,a898,a898),f75(a898)),x39791),x39792)
% 182.20/182.06 [3981]P13(a898,f318(f159(a898),f318(f318(f145(f899(x39811),a898),f180(f899(x39811))),f170(x39811,x39812))))
% 182.20/182.06 [4011]P50(x40111,f318(f318(f92(f905(f904(x40111,x40111),a894)),x40112),f318(f277(x40111,x40111),x40112)))
% 182.20/182.06 [4012]P50(x40121,f318(f318(f101(f905(f904(x40121,x40121),a894)),x40122),f318(f277(x40121,x40121),x40122)))
% 182.20/182.06 [4023]P1(f318(f318(f227(a1),f318(f74(a1),f318(f91(a1),f318(a103,x40231)))),f318(f91(a1),x40232)))
% 182.20/182.06 [4070]E(f318(f133(f899(x40701),x40701,f318(f7(x40701,f899(x40701),f899(x40701)),f142(x40701)),f104(x40701)),x40702),f318(f159(x40701),x40702))
% 182.20/182.06 [4119]P1(f318(f318(f226(f905(f904(f899(x41191),f899(x41191)),a894)),f149(x41191,x41192)),f298(f899(x41191),f148(x41191,x41192))))
% 182.20/182.06 [4148]P1(f318(f43(x41481,x41482),f318(f318(f243(a898,a898),f318(f318(f30(a898),x41481),x41482)),f40(a898,x41481,x41482))))
% 182.20/182.06 [4160]P1(f318(f318(f226(f905(f904(f899(x41601),f899(x41601)),a894)),f148(x41601,f298(x41601,x41602))),f298(f899(x41601),f148(x41601,x41602))))
% 182.20/182.06 [4376]E(f318(f318(f250(f904(a90,a90),a90,f904(a90,a90),f904(x43761,f904(a90,a90))),f258(f318(f156(a90),f318(f318(f145(f904(a90,x43761),a90),f242(a90,x43761)),x43762)))),f318(f318(f8(x43761,f905(f904(a90,a90),f904(x43761,f904(a90,a90))),a90),f243(x43761,f904(a90,a90))),f259(x43761,x43762))),f257(x43761,x43762))
% 182.20/182.06 [4453]E(f214(a898,f904(x44531,f900(x44531)),f2(a898),f318(f248(x44531,f900(x44531),a898),f318(f16(f905(f900(x44531),a898),x44531),f318(f318(f7(f900(x44531),a898,a898),f318(f318(f8(a898,f905(a898,a898),f900(x44531)),f75(a898)),f180(f900(x44531)))),f73(a898)))),f318(f126(x44531),x44532)),f318(f180(f900(x44531)),x44532))
% 182.20/182.06 [4559]E(f318(f248(f905(f904(x45591,x45591),a894),f905(f904(x45591,x45591),a894),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f318(f318(f7(f905(f904(x45591,x45591),a894),f905(f905(f904(x45591,x45591),a894),f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894))),f905(f905(f904(x45591,x45591),a894),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894))))),f318(f318(f8(f905(f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894)),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f905(f905(f905(f904(x45591,x45591),a894),f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894))),f905(f905(f904(x45591,x45591),a894),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894))))),f905(f904(x45591,x45591),a894)),f8(f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894)),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894))),f905(f904(x45591,x45591),a894))),f318(f318(f8(f905(f905(x45592,x45591),f905(f905(f904(x45592,x45592),a894),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f905(f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894)),f905(f905(x45592,x45591),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f905(f904(x45591,x45591),a894)),f18(f905(x45592,x45591),f905(f904(x45592,x45592),a894),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f318(f318(f8(f905(f905(x45592,x45591),f905(f904(x45592,x45592),a894)),f905(f905(x45592,x45591),f905(f905(f904(x45592,x45592),a894),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f905(f904(x45591,x45591),a894)),f318(f8(f905(f904(x45592,x45592),a894),f905(f905(f904(x45592,x45592),a894),f904(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894))),f905(x45592,x45591)),f243(f905(f904(x45592,x45592),a894),f905(f904(x45592,x45592),a894)))),f279(x45591,x45592))))),f279(x45591,x45592))),f68(x45591,x45592))
% 182.20/182.06 [4604]~E(f318(f299(x46041),x46042),f179(f905(f905(x46041,a894),a894)))
% 182.20/182.06 [4613]~P1(f318(f318(f163(x46131),f104(x46131)),x46132))
% 182.20/182.06 [4618]~P1(f318(f318(f320(x46181),x46182),f179(f905(x46181,a894))))
% 182.20/182.06 [4626]~P1(f318(f318(f227(f905(x46261,a894)),x46262),f179(f905(x46261,a894))))
% 182.20/182.06 [3494]E(f318(f318(f23(a898),x34941),f318(f318(f75(a898),x34941),x34942)),f2(a898))
% 182.20/182.06 [3497]E(f318(f318(f92(f905(x34971,a894)),x34972),x34972),x34972)
% 182.20/182.06 [3498]E(f318(f318(f101(f905(x34981,a894)),x34982),x34982),x34982)
% 182.20/182.06 [3526]E(f318(f318(f23(f905(x35261,a894)),x35262),x35262),f179(f905(x35261,a894)))
% 182.20/182.06 [3529]E(f318(f134(x35291,x35292),f2(a898)),f179(f905(f904(f899(x35291),f899(x35291)),a894)))
% 182.20/182.06 [3530]E(f318(f318(f75(a898),x35301),f318(a103,x35302)),f318(a103,f318(f318(f75(a898),x35301),x35302)))
% 182.20/182.06 [3541]E(f185(f318(f91(a1),x35411),f318(f91(a1),x35412)),f318(f91(a1),f318(f318(f23(a898),x35411),x35412)))
% 182.20/182.06 [3544]E(f318(f318(f30(a1),f318(f74(a1),x35441)),x35442),f318(f318(f30(a1),x35441),f318(f74(a1),x35442)))
% 182.20/182.06 [3548]E(f318(f29(a1),f318(f293(a1,x35481),x35482)),f318(a95,f318(f318(f23(a1),x35482),x35481)))
% 182.20/182.06 [3551]E(f318(f318(f75(a898),f318(a103,x35511)),x35512),f318(a103,f318(f318(f75(a898),x35511),x35512)))
% 182.20/182.06 [3554]E(f318(f74(f905(x35541,a894)),f318(f74(f905(x35541,a894)),x35542)),x35542)
% 182.20/182.06 [3566]E(f170(x35661,f318(f318(f142(f899(x35661)),f104(x35661)),x35662)),f170(x35661,x35662))
% 182.20/182.06 [3570]E(f318(f318(f75(a898),x35701),f318(f318(f76(a898),x35701),x35702)),f318(f318(f76(a898),x35701),f318(a103,x35702)))
% 182.20/182.06 [3577]E(f318(f318(a24,f318(a3,x35771)),f318(a3,x35772)),f318(a3,f318(f318(f23(a898),x35771),x35772)))
% 182.20/182.06 [3592]E(f318(f318(f76(a1),f318(f74(a1),x35921)),x35922),f318(f74(a1),f318(f318(f76(a1),x35921),x35922)))
% 182.20/182.06 [3594]E(f318(f318(f235(a1),f318(f91(a1),x35941)),x35942),f318(f91(a1),f318(f318(f235(a898),x35941),x35942)))
% 182.20/182.06 [3595]E(f318(f318(f75(a90),f318(a3,x35951)),f318(a3,x35952)),f318(a3,f318(f318(f75(a898),x35951),x35952)))
% 182.20/182.06 [3596]E(f318(f318(f76(a90),f318(a3,x35961)),f318(a3,x35962)),f318(a3,f318(f318(f76(a898),x35961),x35962)))
% 182.20/182.06 [3597]E(f318(f318(f224(a898),f318(a103,x35971)),f318(a103,x35972)),f318(a103,f318(f318(f224(a898),x35971),x35972)))
% 182.20/182.06 [3598]E(f318(f318(f225(a898),f318(a103,x35981)),f318(a103,x35982)),f318(a103,f318(f318(f225(a898),x35981),x35982)))
% 182.20/182.06 [3603]E(f318(f163(a898),f130(a898,f318(f293(a898,x36031),x36032))),f318(f293(a898,x36031),x36032))
% 182.20/182.06 [3604]E(f303(x36041,f318(f318(f300(x36041),x36042),f179(f905(x36041,a894)))),x36042)
% 182.20/182.06 [3608]E(f318(f275(x36081,x36082),f179(f905(f904(x36081,x36082),a894))),f179(f905(x36082,a894)))
% 182.20/182.06 [3609]E(f318(f255(x36091,x36092),f179(f905(f904(x36091,x36092),a894))),f179(f905(x36091,a894)))
% 182.20/182.06 [3613]E(f318(a95,f318(f318(f23(a1),x36131),x36132)),f318(f29(a1),f296(a1,x36132,x36131)))
% 182.20/182.06 [3618]E(f318(f318(f75(a898),x36181),f318(f318(f76(a898),x36182),x36181)),f318(f318(f76(a898),f318(a103,x36182)),x36181))
% 182.20/182.06 [3620]E(f318(f318(f55(x36201),f179(f905(x36201,a894))),x36202),f179(f905(f905(x36201,a894),a894)))
% 182.20/182.06 [3629]E(f318(f180(f899(a898)),f130(a898,f318(f293(a898,x36291),x36292))),f318(f318(f23(a898),x36292),x36291))
% 182.20/182.06 [3644]E(f318(f318(f92(f905(x36441,a894)),f233(f905(x36441,a894))),x36442),x36442)
% 182.20/182.06 [3645]E(f318(f318(f101(f905(x36451,a894)),f179(f905(x36451,a894))),x36452),x36452)
% 182.20/182.06 [3648]E(f318(f318(f75(a1),f318(f74(a1),x36481)),f318(f74(a1),x36482)),f318(f74(a1),f318(f318(f75(a1),x36481),x36482)))
% 182.20/182.06 [3651]E(f318(f318(f75(a1),f318(f91(a1),x36511)),f318(f91(a1),x36512)),f318(f91(a1),f318(f318(f75(a898),x36511),x36512)))
% 182.20/182.06 [3652]E(f318(f318(f75(a1),f318(f94(a1),x36521)),f318(f94(a1),x36522)),f318(f94(a1),f318(f318(f75(a1),x36521),x36522)))
% 182.20/182.06 [3654]E(f318(f318(f76(a1),f318(f91(a1),x36541)),f318(f91(a1),x36542)),f318(f91(a1),f318(f318(f76(a898),x36541),x36542)))
% 182.20/182.06 [3655]E(f318(f318(f76(a1),f318(f94(a1),x36551)),f318(f94(a1),x36552)),f318(f94(a1),f318(f318(f76(a1),x36551),x36552)))
% 182.20/182.06 [3656]E(f318(f318(f30(a1),f318(f91(a1),x36561)),f318(f91(a1),x36562)),f318(f91(a1),f318(f318(f30(a898),x36561),x36562)))
% 182.20/182.06 [3675]E(f318(f318(f6(x36751,a898),f318(f16(a898,x36751),f73(a898))),x36752),f318(f29(x36751),x36752))
% 182.20/182.06 [3680]E(f318(f74(a1),f40(a1,f318(f74(a1),x36801),x36802)),f40(a1,x36801,f318(f74(a1),x36802)))
% 182.20/182.06 [3682]E(f318(f163(a1),f169(x36821,f318(f318(f23(a1),x36822),f73(a1)))),f318(f293(a1,x36821),x36822))
% 182.20/182.06 [3686]P1(f318(f318(f226(a898),x36861),f318(f318(f75(a898),x36862),x36861)))
% 182.20/182.06 [3687]P1(f318(f318(f226(a898),x36871),f318(f318(f75(a898),x36871),x36872)))
% 182.20/182.06 [3690]E(f318(f318(f23(f905(x36901,a894)),f179(f905(x36901,a894))),x36902),f179(f905(x36901,a894)))
% 182.20/182.06 [3691]E(f318(f318(f92(f905(x36911,a894)),f179(f905(x36911,a894))),x36912),f179(f905(x36911,a894)))
% 182.20/182.06 [3692]E(f318(f318(f101(f905(x36921,a894)),f233(f905(x36921,a894))),x36922),f233(f905(x36921,a894)))
% 182.20/182.06 [3699]E(f318(f318(f243(a1,a1),x36991),f318(f74(a1),x36992)),f318(a46,f318(f318(f243(a1,a1),x36991),x36992)))
% 182.20/182.06 [3700]E(f318(f293(a1,f318(f318(f75(a1),x37001),f73(a1))),x37002),f297(a1,x37001,x37002))
% 182.20/182.06 [3711]E(f318(f318(f76(a898),x37111),f318(f318(f30(a898),x37112),x37111)),f318(f318(f23(a898),x37112),f40(a898,x37112,x37111)))
% 182.20/182.06 [3712]E(f318(f318(f76(a1),x37121),f318(f318(f30(a1),x37122),x37121)),f318(f318(f23(a1),x37122),f40(a1,x37122,x37121)))
% 182.20/182.06 [3715]E(f318(f163(a1),f169(f318(f318(f75(a1),x37151),f73(a1)),x37152)),f296(a1,x37151,x37152))
% 182.20/182.06 [3719]P1(f318(f318(f226(f905(x37191,a894)),x37192),x37192))
% 182.20/182.06 [3722]E(f318(f318(f92(f905(x37221,a894)),x37222),f318(f74(f905(x37221,a894)),x37222)),f179(f905(x37221,a894)))
% 182.20/182.06 [3723]E(f318(f318(f101(f905(x37231,a894)),x37232),f318(f74(f905(x37231,a894)),x37232)),f233(f905(x37231,a894)))
% 182.20/182.06 [3731]E(f318(f318(f23(a898),f318(f318(f23(a898),x37311),f73(a898))),x37312),f318(f318(f23(a898),x37311),f318(a103,x37312)))
% 182.20/182.06 [3737]E(f318(f318(f23(f905(x37371,a894)),f233(f905(x37371,a894))),x37372),f318(f74(f905(x37371,a894)),x37372))
% 182.20/182.06 [3738]E(f318(f318(f23(a1),f318(f94(a1),x37381)),f318(f94(a1),x37382)),f318(f94(a1),f318(f318(f75(a1),x37381),f318(f74(a1),x37382))))
% 182.20/182.06 [3751]E(f318(f163(a898),f130(a898,f318(f293(a898,x37511),f318(a103,x37512)))),f294(a898,x37511,x37512))
% 182.20/182.06 [3767]E(f318(f180(f899(f899(x37671))),f49(x37671,x37672)),f318(f318(f235(a898),f318(a103,f318(a103,f2(a898)))),f318(f180(f899(x37671)),x37672)))
% 182.20/182.06 [3785]E(f318(f318(f174(f904(x37851,x37851),a894),f2(a898)),x37852),f298(x37851,f179(f905(f904(x37851,x37851),a894))))
% 182.20/182.06 [3789]P1(f318(f128(a898),f130(a898,f318(f293(a898,x37891),x37892))))
% 182.20/182.06 [3805]E(f318(f301(a1,a898,a95),f294(a1,f318(f91(a1),x38051),f318(f91(a1),x38052))),f294(a898,x38051,x38052))
% 182.20/182.06 [3814]E(f176(a898,f2(a898),f5(a898),f318(f318(f23(a898),x38141),x38142)),f318(f318(f23(a898),x38141),f318(a103,x38142)))
% 182.20/182.06 [3815]E(f318(a95,f318(f318(f23(a1),x38151),f318(f318(f75(a1),x38152),f73(a1)))),f318(f29(a1),f297(a1,x38152,x38151)))
% 182.20/182.06 [3850]E(f318(f318(f145(a898,a898),a103),f130(a898,f318(f293(a898,x38501),x38502))),f130(a898,f318(f293(a898,f318(a103,x38501)),f318(a103,x38502))))
% 182.20/182.06 [3858]E(f318(f163(a1),f169(f318(f318(f75(a1),x38581),f73(a1)),f318(f318(f23(a1),x38582),f73(a1)))),f297(a1,x38581,x38582))
% 182.20/182.06 [3870]P1(f318(f318(f226(f905(x38701,a894)),f179(f905(x38701,a894))),x38702))
% 182.20/182.06 [3874]E(f80(x38741,f318(f318(f7(x38741,x38741,a894),a315),x38742)),x38742)
% 182.20/182.06 [3875]E(f85(x38751,f318(f318(f7(x38751,x38751,a894),a315),x38752)),x38752)
% 182.20/182.06 [3879]E(f318(f163(a898),f130(a898,f318(f293(a898,f318(a103,x38791)),f318(a103,x38792)))),f296(a898,x38791,x38792))
% 182.20/182.06 [3905]E(f318(f318(f245(x39051,x39052),f233(f905(x39051,a894))),f318(f16(f905(x39052,a894),x39051),f233(f905(x39052,a894)))),f233(f905(f904(x39051,x39052),a894)))
% 182.20/182.06 [3938]E(f318(f253(x39381),f318(f318(f8(a894,a894,x39381),a313),x39382)),f318(f74(f905(x39381,a894)),f318(f253(x39381),x39382)))
% 182.20/182.06 [3941]E(f318(f253(x39411),f318(f318(f7(x39411,x39411,a894),a315),x39412)),f318(f318(f300(x39411),x39412),f179(f905(x39411,a894))))
% 182.20/182.06 [3948]E(f318(f318(f75(a1),f318(f318(f23(a1),x39481),x39482)),f318(f318(f23(a1),x39481),x39482)),f318(f318(f23(a1),f318(f318(f75(a1),x39481),x39481)),f318(f318(f75(a1),x39482),x39482)))
% 182.20/182.06 [3949]E(f318(f318(f75(a1),f318(f318(f75(a1),x39491),x39491)),f318(f318(f75(a1),x39492),x39492)),f318(f318(f75(a1),f318(f318(f75(a1),x39491),x39492)),f318(f318(f75(a1),x39491),x39492)))
% 182.20/182.06 [3965]P1(f318(f318(f226(a898),f318(f29(x39651),f318(f163(x39651),x39652))),f318(f180(f899(x39651)),x39652)))
% 182.20/182.06 [3966]P1(f318(f318(f226(a898),f318(f180(f899(x39661)),f143(x39661,x39662))),f318(f180(f899(x39661)),x39662)))
% 182.20/182.06 [3976]E(f318(f253(x39761),f318(f318(f7(x39761,f905(x39761,a894),a894),f320(x39761)),x39762)),x39762)
% 182.20/182.06 [3990]E(f318(f318(f166(x39901),f318(f318(f23(a898),f318(f180(f899(x39901)),x39902)),f73(a898))),x39902),f105(x39901,x39902))
% 182.20/182.06 [4010]E(f176(a898,f2(a898),f318(f318(f8(a898,a898,a898),a103),f318(f224(a898),x40101)),x40102),f318(f318(f224(a898),f318(a103,x40101)),x40102))
% 182.20/182.06 [4015]E(f31(f905(x40151,a894),f318(f301(f905(f904(x40151,x40151),a894),f905(x40151,a894),f272(x40151)),x40152)),f318(f272(x40151),f31(f905(f904(x40151,x40151),a894),x40152)))
% 182.20/182.06 [4016]E(f176(a898,f318(a103,x40161),f318(f318(f8(a898,a898,a898),a103),f318(f225(a898),x40161)),x40162),f318(f318(f225(a898),f318(a103,x40161)),x40162))
% 182.20/182.06 [4018]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),f318(f70(a1),x40181)),f318(f70(a1),x40182))),f40(a1,f318(f70(a1),x40181),f318(f70(a1),x40182))),f48(x40181,x40182))
% 182.20/182.06 [4042]P1(f318(f318(f226(f905(f905(x40421,a894),a894)),x40422),f318(f299(x40421),f31(f905(x40421,a894),x40422))))
% 182.20/182.06 [4075]E(f318(f318(f34(x40751,f905(x40751,a894)),x40752),f318(f318(f7(x40751,f905(x40751,a894),f905(x40751,a894)),f300(x40751)),f179(f905(x40751,a894)))),x40752)
% 182.20/182.06 [4076]E(f318(f318(f280(x40761,x40761,x40761),f318(f277(x40761,x40761),x40762)),f298(x40761,f318(f277(x40761,x40761),x40762))),f318(f277(x40761,x40761),f318(f318(f280(x40761,x40761,x40761),x40762),f298(x40761,x40762))))
% 182.20/182.06 [4140]E(f318(f163(x41401),f318(f133(f899(x41401),f899(x41401),f125(x41401),f104(x41401)),x41402)),f318(f318(f34(f899(x41401),f905(x41401,a894)),f318(f163(f899(x41401)),x41402)),f163(x41401)))
% 182.20/182.06 [4171]E(f318(f318(f101(f905(f904(x41711,x41711),a894)),f298(x41711,f179(f905(f904(x41711,x41711),a894)))),f318(f318(f280(x41711,x41711,x41711),f298(x41711,x41712)),x41712)),f298(x41711,x41712))
% 182.20/182.06 [4207]E(f318(f318(f172(x42071,x42071),x42072),x42072),f318(f318(f145(x42071,f904(x42071,x42071)),f318(f318(f18(x42071,x42071,f904(x42071,x42071)),f243(x42071,x42071)),f5(x42071))),x42072))
% 182.20/182.06 [4318]E(f318(f133(a898,f899(x43181),f318(f7(f899(x43181),a898,a898),f318(f318(f8(a898,f905(a898,a898),f899(x43181)),f225(a898)),f180(f899(x43181)))),f2(a898)),f318(f159(f899(x43181)),x43182)),f318(f180(f899(f899(x43181))),f170(x43181,x43182)))
% 182.20/182.06 [4390]E(f318(f318(f279(f904(a898,f899(x43901)),f899(x43901)),f310(a898,f899(x43901),a231,f136(x43901,x43902))),f318(f318(f18(f899(x43901),f899(x43901),f904(a898,f899(x43901))),f318(f318(f8(a898,f905(f899(x43901),f904(a898,f899(x43901))),f899(x43901)),f243(a898,f899(x43901))),f180(f899(x43901)))),f5(f899(x43901)))),f137(x43901,x43902))
% 182.20/182.06 [4517]E(f318(f253(x45171),f318(f318(f8(f905(f905(x45171,a894),a894),a894,x45171),f83(f905(x45171,a894))),f318(f318(f8(f905(f905(x45171,a894),a894),f905(f905(x45171,a894),a894),x45171),f318(f18(f905(x45171,a894),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x45171,a894)),a321),f318(f318(f7(f905(x45171,a894),f905(f905(x45171,a894),a894),a894),f320(f905(x45171,a894))),x45172)))),f320(x45171)))),f32(f905(x45171,a894),x45172))
% 182.20/182.06 [4518]E(f318(f253(x45181),f318(f318(f8(f905(f905(x45181,a894),a894),a894,x45181),f82(f905(x45181,a894))),f318(f318(f8(f905(f905(x45181,a894),a894),f905(f905(x45181,a894),a894),x45181),f318(f18(f905(x45181,a894),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x45181,a894)),a316),f318(f318(f7(f905(x45181,a894),f905(f905(x45181,a894),a894),a894),f320(f905(x45181,a894))),x45182)))),f320(x45181)))),f31(f905(x45181,a894),x45182))
% 182.20/182.06 [4627]~P1(f318(f318(f227(a1),f318(f91(a1),x46271)),f318(f74(a1),f318(f91(a1),x46272))))
% 182.20/182.06 [3616]E(f318(f318(f23(a898),f318(f318(f75(a898),x36161),x36162)),x36162),x36161)
% 182.20/182.06 [3617]E(f318(f318(f23(a898),f318(f318(f75(a898),x36171),x36172)),x36171),x36172)
% 182.20/182.06 [3681]E(f318(f318(f75(a898),f318(f318(f23(a898),x36811),x36812)),x36812),f318(f318(f225(a898),x36811),x36812))
% 182.20/182.06 [3792]E(f318(f318(f76(a898),f318(f318(f30(a898),x37921),x37922)),x37922),f318(f318(f23(a898),x37921),f40(a898,x37921,x37922)))
% 182.20/182.06 [3819]E(f318(f163(a898),f130(a898,f318(f293(a898,f318(a103,x38191)),x38192))),f297(a898,x38191,x38192))
% 182.20/182.06 [3827]E(f318(f91(a1),f207(f318(a95,f318(f70(a1),x38271)),f318(a95,f318(f70(a1),x38272)))),f318(f318(a208,x38271),x38272))
% 182.20/182.06 [3829]E(f318(f318(f92(f905(x38291,a894)),f318(f74(f905(x38291,a894)),x38292)),x38292),f179(f905(x38291,a894)))
% 182.20/182.06 [3830]E(f318(f318(f101(f905(x38301,a894)),f318(f74(f905(x38301,a894)),x38302)),x38302),f233(f905(x38301,a894)))
% 182.20/182.06 [3846]P1(f318(f318(f226(a898),f318(f318(f23(a898),x38461),x38462)),x38461))
% 182.20/182.06 [3847]P1(f318(f318(f226(a898),f318(f318(f30(a898),x38471),x38472)),x38471))
% 182.20/182.06 [3871]P1(f318(f318(f227(a898),x38711),f318(a103,f318(f318(f75(a898),x38712),x38711))))
% 182.20/182.06 [3872]P1(f318(f318(f227(a898),x38721),f318(a103,f318(f318(f75(a898),x38721),x38722))))
% 182.20/182.06 [3889]E(f318(f318(f76(a898),f318(a95,f318(f70(a1),x38891))),f318(a95,f318(f70(a1),x38892))),f318(a95,f318(f70(a1),f318(f318(f76(a1),x38891),x38892))))
% 182.20/182.06 [3901]P1(f318(f318(f226(a1),f2(a1)),f318(f318(f235(a1),f318(f70(a1),x39011)),x39012)))
% 182.20/182.06 [3969]E(f318(f276(f899(x39691),f899(x39691),f149(x39691,x39692)),f318(f318(f300(f899(x39691)),f104(x39691)),f179(f905(f899(x39691),a894)))),f318(f318(f300(f899(x39691)),f104(x39691)),f179(f905(f899(x39691),a894))))
% 182.20/182.06 [3988]E(f318(f318(f101(f905(f904(x39881,x39881),a894)),f298(x39881,x39882)),f298(x39881,f179(f905(f904(x39881,x39881),a894)))),f298(x39881,x39882))
% 182.20/182.06 [4000]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f75(a1),x40001),x40001))),f318(f94(a1),f318(f318(f75(a1),x40002),x40002))),f318(f318(f30(a1),f318(f94(a1),x40001)),f318(f94(a1),x40002)))
% 182.20/182.06 [4065]E(f318(f318(f235(a1),x40651),f318(f94(a898),f318(f318(f75(a1),x40652),x40652))),f318(f318(f81(a1,a1),f318(f318(f235(a1),x40651),f318(f94(a898),x40652))),f318(f318(f18(a1,a1,a1),f76(a1)),f5(a1))))
% 182.20/182.06 [4071]E(f318(f253(f905(x40711,a894)),f318(f318(f7(f905(x40711,a894),f905(x40711,a894),a894),f226(f905(x40711,a894))),x40712)),f318(f299(x40711),x40712))
% 182.20/182.06 [4087]E(f318(f318(f145(a1,a898),a95),f318(f318(f125(a1),f318(f318(f145(a898,a1),f91(a1)),x40871)),f318(f318(f145(a898,a1),f91(a1)),x40872))),f318(f318(f125(a898),x40871),x40872))
% 182.20/182.06 [4118]E(f318(f301(a1,a1,f318(f318(f7(a1,a1,a1),f75(a1)),x41181)),f318(f293(a1,f2(a1)),f318(f318(f23(a1),x41182),x41181))),f318(f293(a1,x41181),x41182))
% 182.20/182.06 [4120]P52(x41201,f318(f318(f23(f905(f904(x41201,x41201),a894)),x41202),f298(x41201,f179(f905(f904(x41201,x41201),a894)))))
% 182.20/182.06 [4138]E(f318(f180(f899(x41381)),f318(f133(f899(x41381),f899(x41381),f125(x41381),f104(x41381)),x41382)),f318(f156(a898),f318(f318(f145(f899(x41381),a898),f180(f899(x41381))),x41382)))
% 182.20/182.06 [4142]P51(x41421,f233(f905(x41421,a894)),f318(f318(f101(f905(f904(x41421,x41421),a894)),x41422),f298(x41421,f179(f905(f904(x41421,x41421),a894)))))
% 182.20/182.06 [4187]E(f176(a898,f2(a898),f318(f318(f8(a898,a898,a898),a103),f318(f318(f7(a898,a898,a898),f224(a898)),x41871)),x41872),f318(f318(f224(a898),x41872),f318(a103,x41871)))
% 182.20/182.06 [4190]E(f176(a898,f318(a103,x41901),f318(f318(f8(a898,a898,a898),a103),f318(f318(f7(a898,a898,a898),f225(a898)),x41901)),x41902),f318(f318(f225(a898),x41902),f318(a103,x41901)))
% 182.20/182.06 [4193]E(f318(f301(x41931,f899(x41931),f318(f318(f7(x41931,f899(x41931),f899(x41931)),f142(x41931)),f104(x41931))),x41932),f165(x41931,x41932,f318(f318(f300(f899(x41931)),f104(x41931)),f179(f905(f899(x41931),a894)))))
% 182.20/182.06 [4195]E(f318(f318(f101(f905(f904(x41951,x41951),a894)),f318(f318(f280(x41951,x41951,x41951),x41952),f298(x41951,x41952))),f298(x41951,f179(f905(f904(x41951,x41951),a894)))),f298(x41951,x41952))
% 182.20/182.06 [4202]P1(f318(f318(f226(f905(f904(x42021,x42021),a894)),f254(x42021,x42022)),f318(f318(f245(x42021,x42021),x42022),f318(f16(f905(x42021,a894),x42021),x42022))))
% 182.20/182.06 [4205]E(f318(f301(a1,a898,a95),f318(f318(f92(f905(a1,a894)),f318(f301(a898,a1,f91(a1)),x42051)),f318(f301(a898,a1,f91(a1)),x42052))),f318(f318(f92(f905(a898,a894)),x42051),x42052))
% 182.20/182.06 [4206]E(f318(f301(a1,a898,a95),f318(f318(f101(f905(a1,a894)),f318(f301(a898,a1,f91(a1)),x42061)),f318(f301(a898,a1,f91(a1)),x42062))),f318(f318(f101(f905(a898,a894)),x42061),x42062))
% 182.20/182.06 [4209]E(f318(f253(x42091),f318(f318(f8(a894,a894,x42091),a313),f318(f318(f7(x42091,f905(x42091,a894),a894),f320(x42091)),x42092))),f318(f74(f905(x42091,a894)),x42092))
% 182.20/182.06 [4236]E(f318(f133(f899(x42361),f899(x42361),f125(x42361),f104(x42361)),f318(f318(f145(f899(x42361),f899(x42361)),f159(x42361)),f318(f159(f899(x42361)),x42362))),f318(f159(x42361),f318(f133(f899(x42361),f899(x42361),f125(x42361),f104(x42361)),x42362)))
% 182.20/182.06 [4262]E(f318(f318(f34(a898,f905(f904(x42621,x42621),a894)),f233(f905(a898,a894))),f318(f318(f7(a898,f905(f904(x42621,x42621),a894),f905(f904(x42621,x42621),a894)),f174(f904(x42621,x42621),a894)),x42622)),f298(x42621,x42622))
% 182.20/182.06 [4280]E(f80(x42801,f318(f318(f8(f905(x42801,a894),a894,x42801),f318(a315,x42802)),f318(f318(f7(x42801,f905(x42801,a894),f905(x42801,a894)),f300(x42801)),f179(f905(x42801,a894))))),f303(x42801,x42802))
% 182.20/182.06 [4288]E(f318(f180(f899(x42881)),f143(x42881,f318(f133(f899(x42881),f899(x42881),f125(x42881),f104(x42881)),x42882))),f318(f29(x42881),f318(f318(f34(f899(x42881),f905(x42881,a894)),f318(f163(f899(x42881)),x42882)),f163(x42881))))
% 182.20/182.06 [4302]E(f318(f318(f101(f905(f904(x43021,x43021),a894)),x43022),f318(f318(f280(x43021,x43021,x43021),f318(f318(f280(x43021,x43021,x43021),x43022),f298(x43021,x43022))),x43022)),f318(f318(f280(x43021,x43021,x43021),x43022),f298(x43021,x43022)))
% 182.20/182.06 [4326]P1(f318(f318(f226(f905(f904(x43261,x43261),a894)),f318(f318(f280(x43261,x43261,x43261),x43262),f298(x43261,x43262))),f318(f318(f245(x43261,x43261),f318(f272(x43261),x43262)),f318(f16(f905(x43261,a894),x43261),f318(f272(x43261),x43262)))))
% 182.20/182.06 [4367]E(f318(f253(f899(x43671)),f318(f318(f7(f899(x43671),f905(x43671,a894),a894),f318(f318(f8(f905(x43671,a894),f905(f905(x43671,a894),a894),f899(x43671)),f226(f905(x43671,a894))),f163(x43671))),x43672)),f152(x43671,x43672))
% 182.20/182.06 [4378]E(f318(f147(f899(x43781),x43781,f104(x43781),f318(f318(f8(f899(x43781),f905(f899(x43781),f899(x43781)),x43781),f318(f7(f899(x43781),f899(x43781),f899(x43781)),f125(x43781))),f318(f318(f7(x43781,f899(x43781),f899(x43781)),f142(x43781)),f104(x43781)))),x43782),f318(f158(x43781),x43782))
% 182.20/182.06 [4418]P24(f905(x44181,x44182),f905(f904(x44181,x44182),a894),f318(f318(f8(f905(f904(x44181,x44182),a894),f905(f904(x44181,x44182),a894),f905(x44181,x44182)),f253(f904(x44181,x44182))),f318(f318(f8(f905(x44181,f905(x44182,a894)),f905(f904(x44181,x44182),a894),f905(x44181,x44182)),f248(x44181,x44182,a894)),f318(f8(x44182,f905(x44182,a894),x44181),f318(f7(x44182,x44182,a894),a315)))),f233(f905(f905(x44181,x44182),a894)))
% 182.20/182.06 [4423]E(f40(a1,f318(f94(a1),f318(f318(f75(a1),x44231),x44231)),f318(f94(a1),f318(f318(f75(a1),x44232),x44232))),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a1,f318(f94(a1),x44231),f318(f94(a1),x44232))))
% 182.20/182.06 [4467]E(f318(f318(f34(x44671,f905(f904(x44671,x44671),a894)),x44672),f318(f318(f7(x44671,f905(f904(x44671,x44671),a894),f905(f904(x44671,x44671),a894)),f318(f318(f8(f904(x44671,x44671),f905(f905(f904(x44671,x44671),a894),f905(f904(x44671,x44671),a894)),x44671),f300(f904(x44671,x44671))),f318(f318(f18(x44671,x44671,f904(x44671,x44671)),f243(x44671,x44671)),f5(x44671)))),f179(f905(f904(x44671,x44671),a894)))),f254(x44671,x44672))
% 182.20/182.06 [4475]E(f193(x44751,f318(f318(f243(a1,a1),f318(f74(a1),f318(f318(f67(f904(a1,a1),a1,x44751,f242(a1,a1)),f203(x44751)),x44752))),f318(f318(f67(f904(a1,a1),a1,x44751,f247(a1,a1)),f203(x44751)),x44752))),f218(x44751,x44752))
% 182.20/182.06 [4556]E(f318(f253(f905(x45561,a894)),f318(f318(f8(f905(f905(x45561,a894),a894),a894,f905(x45561,a894)),f82(f905(x45561,a894))),f318(f318(f7(f905(x45561,a894),f905(f905(x45561,a894),a894),f905(f905(x45561,a894),a894)),f318(f318(f8(f905(f905(x45561,a894),f905(a894,a894)),f905(f905(f905(x45561,a894),a894),f905(f905(x45561,a894),a894)),f905(x45561,a894)),f18(f905(x45561,a894),a894,a894)),f318(f318(f8(f905(f905(x45561,a894),a894),f905(f905(x45561,a894),f905(a894,a894)),f905(x45561,a894)),f318(f8(a894,f905(a894,a894),f905(x45561,a894)),a316)),f318(f318(f7(f905(x45561,a894),f905(f905(x45561,a894),f905(x45561,a894)),f905(f905(x45561,a894),a894)),f318(f318(f8(f905(f905(x45561,a894),a894),f905(f905(f905(x45561,a894),f905(x45561,a894)),f905(f905(x45561,a894),a894)),f905(x45561,a894)),f8(f905(x45561,a894),a894,f905(x45561,a894))),a315)),f74(f905(x45561,a894)))))),f318(f318(f8(f905(f905(x45561,a894),a894),a894,f905(x45561,a894)),f318(f320(f905(x45561,a894)),x45562)),f299(x45561))))),f318(f299(x45561),f318(f74(f905(x45561,a894)),x45562)))
% 182.20/182.06 [4625]~E(f318(f318(f75(a1),x46251),x46251),f318(f318(f23(a1),f318(f318(f75(a1),x46252),x46252)),a88))
% 182.20/182.06 [4629]~P1(f318(f318(f227(a898),f318(f318(f75(a898),x46291),x46292)),x46292))
% 182.20/182.06 [4630]~P1(f318(f318(f227(a898),f318(f318(f75(a898),x46301),x46302)),x46301))
% 182.20/182.06 [3906]E(f318(f318(f23(a898),x39061),f318(f318(f76(a898),f318(f318(f30(a898),x39061),x39062)),x39062)),f40(a898,x39061,x39062))
% 182.20/182.06 [3907]E(f318(f318(f23(a1),x39071),f318(f318(f76(a1),f318(f318(f30(a1),x39071),x39072)),x39072)),f40(a1,x39071,x39072))
% 182.20/182.06 [3939]E(f318(f318(f145(a898,x39391),f318(f155(x39391),x39392)),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(x39391)),x39392)))),x39392)
% 182.20/182.06 [3996]E(f318(f276(x39961,x39961,f298(x39961,f179(f905(f904(x39961,x39961),a894)))),x39962),x39962)
% 182.20/182.06 [4123]E(f298(x41231,f318(f318(f23(f905(f904(x41231,x41231),a894)),x41232),f298(x41231,f179(f905(f904(x41231,x41231),a894))))),f298(x41231,x41232))
% 182.20/182.06 [4124]E(f298(x41241,f318(f318(f101(f905(f904(x41241,x41241),a894)),x41242),f298(x41241,f179(f905(f904(x41241,x41241),a894))))),f298(x41241,x41242))
% 182.20/182.06 [4174]E(f318(f318(f23(a1),f318(f318(f23(a1),f318(f318(f75(a1),x41741),x41741)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x41742),x41742)),a88)),f318(f318(f75(a1),f318(f318(f23(a1),x41741),x41742)),f318(f318(f23(a1),x41741),x41742)))
% 182.20/182.06 [4214]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f75(a1),x42141),x42142)),f318(f318(f75(a1),x42141),x42142))),a88),f318(f318(f75(a1),f318(f318(f75(a1),x42141),x42141)),f318(f318(f23(a1),f318(f318(f75(a1),x42142),x42142)),a88)))
% 182.20/182.06 [4239]E(f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),x42391),x42391)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x42392),x42392)),a88)),f318(f318(f75(a1),f318(f318(f75(a1),x42391),f318(f318(f23(a1),x42392),a88))),f318(f318(f75(a1),x42391),f318(f318(f23(a1),x42392),a88))))
% 182.20/182.06 [4250]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),x42501),x42502)),f318(f318(f23(a1),x42501),x42502))),a88),f318(f318(f23(a1),f318(f318(f23(a1),f318(f318(f75(a1),x42501),x42501)),a88)),f318(f318(f75(a1),x42502),x42502)))
% 182.20/182.06 [4251]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f75(a1),x42511),x42512)),f318(f318(f75(a1),x42511),x42512))),a88),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),x42511),x42511)),a88)),f318(f318(f75(a1),x42512),x42512)))
% 182.20/182.06 [4299]E(f318(f91(a1),f318(f318(f30(a898),f318(f318(f76(a898),f318(a95,f318(f70(a1),x42991))),f318(a95,f318(f70(a1),x42992)))),f207(f318(a95,f318(f70(a1),x42991)),f318(a95,f318(f70(a1),x42992))))),f209(x42991,x42992))
% 182.20/182.06 [4344]E(f318(f318(f250(f904(a90,a90),a90,f904(a90,a90),f904(x43441,f904(a90,a90))),f258(f318(a3,f318(f180(f899(x43441)),x43442)))),f318(f318(f8(x43441,f905(f904(a90,a90),f904(x43441,f904(a90,a90))),a90),f243(x43441,f904(a90,a90))),f318(f318(f8(a898,x43441,a90),f318(f155(x43441),x43442)),a20))),f266(x43441,x43442))
% 182.20/182.06 [4424]E(f318(f133(a898,f899(x44241),f318(f7(f899(x44241),a898,a898),f318(f318(f8(a898,f905(a898,a898),f899(x44241)),f225(a898)),f180(f899(x44241)))),f2(a898)),f318(f159(f899(x44241)),f170(x44241,x44242))),f318(f180(f899(f899(x44241))),f318(f127(f899(x44241),f318(f318(f8(a894,a894,f899(x44241)),a313),f318(f318(f7(f899(x44241),f899(x44241),a894),a315),f104(x44241)))),x44242)))
% 182.20/182.06 [4430]E(f318(f318(f34(a898,f905(x44301,a894)),f233(f905(a898,a894))),f318(f318(f7(a898,f905(a898,f905(x44301,a894)),f905(x44301,a894)),f318(f318(f8(f905(a898,a894),f905(f905(a898,f905(x44301,a894)),f905(x44301,a894)),a898),f34(a898,f905(x44301,a894))),f293(a898,f2(a898)))),x44302)),f318(f318(f34(a898,f905(x44301,a894)),f233(f905(a898,a894))),x44302))
% 182.20/182.06 [4452]P1(f318(f28(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),x44521)),f318(f318(f7(a898,a898,a894),f227(a898)),x44522)))))
% 182.20/182.06 [4564]E(f318(f253(f904(f899(x45641),f899(x45641))),f318(f248(f899(x45641),f899(x45641),a894),f318(f318(f18(f899(x45641),f905(f899(x45641),a894),f905(f899(x45641),a894)),f318(f318(f8(f905(f899(x45641),f905(a894,a894)),f905(f905(f899(x45641),a894),f905(f899(x45641),a894)),f899(x45641)),f18(f899(x45641),a894,a894)),f318(f318(f8(f905(f899(x45641),a894),f905(f899(x45641),f905(a894,a894)),f899(x45641)),f318(f8(a894,f905(a894,a894),f899(x45641)),a317)),f318(f318(f7(f899(x45641),f905(f899(x45641),a898),f905(f899(x45641),a894)),f318(f318(f8(f905(a898,a894),f905(f905(f899(x45641),a898),f905(f899(x45641),a894)),f899(x45641)),f8(a898,a894,f899(x45641))),f318(f318(f8(a898,f905(a898,a894),f899(x45641)),f227(a898)),f180(f899(x45641))))),f180(f899(x45641)))))),f318(f318(f18(f899(x45641),f905(f899(x45641),a894),f905(f899(x45641),a894)),f318(f318(f8(f905(f899(x45641),f905(a894,a894)),f905(f905(f899(x45641),a894),f905(f899(x45641),a894)),f899(x45641)),f18(f899(x45641),a894,a894)),f318(f318(f8(f905(f899(x45641),a894),f905(f899(x45641),f905(a894,a894)),f899(x45641)),f318(f8(a894,f905(a894,a894),f899(x45641)),a316)),f318(f318(f7(f899(x45641),f905(f899(x45641),a898),f905(f899(x45641),a894)),f318(f318(f8(f905(a898,a894),f905(f905(f899(x45641),a898),f905(f899(x45641),a894)),f899(x45641)),f8(a898,a894,f899(x45641))),f318(f318(f8(a898,f905(a898,a894),f899(x45641)),a315),f180(f899(x45641))))),f180(f899(x45641)))))),f318(f318(f7(f899(x45641),f905(f904(f899(x45641),f899(x45641)),a894),f905(f899(x45641),a894)),f318(f318(f8(f905(f899(x45641),f905(f905(f904(f899(x45641),f899(x45641)),a894),a894)),f905(f905(f904(f899(x45641),f899(x45641)),a894),f905(f899(x45641),a894)),f899(x45641)),f7(f899(x45641),f905(f904(f899(x45641),f899(x45641)),a894),a894)),f318(f318(f8(f905(f899(x45641),f904(f899(x45641),f899(x45641))),f905(f899(x45641),f905(f905(f904(f899(x45641),f899(x45641)),a894),a894)),f899(x45641)),f318(f8(f904(f899(x45641),f899(x45641)),f905(f905(f904(f899(x45641),f899(x45641)),a894),a894),f899(x45641)),f320(f904(f899(x45641),f899(x45641))))),f243(f899(x45641),f899(x45641))))),f136(x45641,x45642)))))),f137(x45641,x45642))
% 182.20/182.06 [4242]E(f318(f318(f75(a1),f318(f318(f75(a1),f318(f318(f76(a1),x42421),x42422)),f318(f318(f76(a1),x42421),x42422))),x42422),f318(f318(f76(a1),f318(f318(f23(a1),f318(f318(f75(a1),x42421),x42421)),a88)),x42422))
% 182.20/182.06 [4343]E(f318(a95,f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x43431),x43432)),f179(f905(f904(a898,a898),a894)))))),f318(f318(f23(a898),x43431),x43432))
% 182.20/182.06 [4347]E(f318(f318(f280(x43471,x43471,x43471),f318(f318(f101(f905(f904(x43471,x43471),a894)),x43472),f298(x43471,f179(f905(f904(x43471,x43471),a894))))),f298(x43471,f318(f318(f101(f905(f904(x43471,x43471),a894)),x43472),f298(x43471,f179(f905(f904(x43471,x43471),a894)))))),f298(x43471,x43472))
% 182.20/182.06 [4384]E(f259(x43841,f318(f127(f904(a90,x43841),f318(f248(a90,x43841,a894),f318(f318(f8(a894,f905(x43841,a894),a90),f16(a894,x43841)),f318(f227(a90),f2(a90))))),x43842)),f259(x43841,x43842))
% 182.20/182.06 [4385]E(f257(x43851,f318(f127(f904(a90,x43851),f318(f248(a90,x43851,a894),f318(f318(f8(a894,f905(x43851,a894),a90),f16(a894,x43851)),f318(f227(a90),f2(a90))))),x43852)),f257(x43851,x43852))
% 182.20/182.06 [4387]E(f318(f74(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x43871),x43872)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x43872),x43871)),f179(f905(f904(a898,a898),a894))))))
% 182.20/182.06 [4443]E(f318(f318(f279(f899(a898),x44431),f136(a898,a231)),f318(f318(f7(x44431,f899(f905(x44431,a898)),f899(a898)),f318(f318(f8(f905(f905(x44431,a898),a898),f905(f899(f905(x44431,a898)),f899(a898)),x44431),f145(f905(x44431,a898),a898)),f318(f7(f905(x44431,a898),x44431,a898),f5(f905(x44431,a898))))),x44432)),f144(x44431,x44432))
% 182.20/182.06 [4464]E(f318(f318(f81(a1,a898),f318(f94(a1),f318(f318(f75(a1),x44641),a88))),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f2(a898))),f318(f318(f8(a898,a898,a1),a103),f318(f318(f8(a898,a898,a1),f318(f224(a898),x44642)),a95)))),f318(f318(f224(a898),f318(a103,x44642)),f318(f94(a898),x44641)))
% 182.20/182.06 [4465]E(f318(f318(f81(a1,a898),f318(f94(a1),f318(f318(f75(a1),x44651),a88))),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f318(a103,x44652))),f318(f318(f8(a898,a898,a1),a103),f318(f318(f8(a898,a898,a1),f318(f225(a898),x44652)),a95)))),f318(f318(f225(a898),f318(a103,x44652)),f318(f94(a898),x44651)))
% 182.20/182.06 [4485]E(f318(f133(f899(x44851),f899(x44851),f125(x44851),f104(x44851)),f318(f318(f145(f899(x44851),f899(x44851)),f147(f899(x44851),x44851,f104(x44851),f318(f318(f8(f899(x44851),f905(f899(x44851),f899(x44851)),x44851),f16(f899(x44851),f899(x44851))),f318(f318(f7(x44851,f899(x44851),f899(x44851)),f142(x44851)),f104(x44851))))),x44852)),f318(f318(f145(f899(x44851),x44851),f132(x44851)),f318(f127(f899(x44851),f318(f318(f8(a894,a894,f899(x44851)),a313),f318(f318(f7(f899(x44851),f899(x44851),a894),a315),f104(x44851)))),x44852)))
% 182.20/182.06 [4547]E(f318(f248(a1,a1,a894),f318(f318(f7(a1,f905(a1,a894),f905(a1,a894)),f318(f318(f8(f905(a1,f905(a894,a894)),f905(f905(a1,a894),f905(a1,a894)),a1),f18(a1,a894,a894)),f318(f318(f8(f905(a1,a894),f905(a1,f905(a894,a894)),a1),f318(f8(a894,f905(a894,a894),a1),a316)),f318(f318(f8(f905(a1,a1),f905(a1,a894),a1),f318(f8(a1,a894,a1),f318(a315,x45471))),f318(f318(f8(a1,f905(a1,a1),a1),f75(a1)),f318(f76(a1),x45472)))))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),f318(a321,f318(f318(f227(a1),f2(a1)),x45472))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),f318(f318(f7(a1,a1,a894),f227(a1)),x45472))))),f318(f318(f8(a894,a894,a1),f318(a321,f318(a313,f318(f318(f227(a1),f2(a1)),x45472)))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f227(a1),x45472))),f318(f318(f7(a1,a1,a894),f226(a1)),f2(a1))))))),f44(x45471,x45472))
% 182.20/182.06 [4550]E(f318(f253(x45501),f318(f318(f8(f905(a898,a894),a894,x45501),f82(a898)),f318(f318(f7(x45501,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),x45501),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),x45501),f318(f8(a894,f905(a894,a894),a898),a316)),f318(f318(f7(x45501,f905(a898,x45501),f905(a898,a894)),f318(f318(f8(f905(x45501,a894),f905(f905(a898,x45501),f905(a898,a894)),x45501),f8(x45501,a894,a898)),a315)),f318(f155(x45501),x45502))))),f318(f318(f7(a898,a898,a894),f227(a898)),f318(f180(f899(x45501)),x45502))))),f318(f163(x45501),x45502))
% 182.20/182.06 [4357]E(f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),x43571),a88)),x43572)),f318(f318(f23(a1),f318(f318(f75(a1),x43571),a88)),x43572))),a88),f318(f318(f23(a1),f318(f318(f75(a1),x43571),x43571)),f318(f318(f23(a1),f318(f318(f75(a1),x43572),x43572)),a88)))
% 182.20/182.06 [4480]E(f318(f133(f899(f899(x44801)),f899(f899(x44801)),f125(f899(x44801)),f104(f899(x44801))),f318(f318(f145(f899(x44801),f899(f899(x44801))),f147(f899(f899(x44801)),x44801,f104(f899(x44801)),f318(f16(f905(f899(x44801),f899(f899(x44801))),x44801),f318(f318(f7(f899(x44801),f899(f899(x44801)),f899(f899(x44801))),f142(f899(x44801))),f104(f899(x44801)))))),x44802)),f318(f318(f145(f899(x44801),f899(x44801)),f162(x44801)),f318(f127(f899(x44801),f318(f318(f8(a894,a894,f899(x44801)),a313),f318(f318(f7(f899(x44801),f899(x44801),a894),a315),f104(x44801)))),x44802)))
% 182.20/182.06 [4490]E(f318(f318(f81(a1,a898),f318(f94(a1),f318(f318(f75(a1),x44901),a88))),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f2(a898))),f318(f318(f8(a898,a898,a1),a103),f318(f318(f7(a1,a898,a898),f318(f318(f8(a898,f905(a898,a898),a1),f224(a898)),a95)),x44902)))),f318(f318(f224(a898),f318(f94(a898),x44901)),f318(a103,x44902)))
% 182.20/182.06 [4491]E(f318(f318(f81(a1,a898),f318(f94(a1),f318(f318(f75(a1),x44911),a88))),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f318(a103,x44912))),f318(f318(f8(a898,a898,a1),a103),f318(f318(f7(a1,a898,a898),f318(f318(f8(a898,f905(a898,a898),a1),f225(a898)),a95)),x44912)))),f318(f318(f225(a898),f318(f94(a898),x44911)),f318(a103,x44912)))
% 182.20/182.06 [4479]E(f318(f248(x44791,x44791,a894),f318(f318(f18(x44791,a894,f905(x44791,a894)),f318(f318(f8(f905(x44791,f905(a894,a894)),f905(a894,f905(x44791,a894)),x44791),f7(x44791,a894,a894)),f318(f318(f8(f905(x44791,a894),f905(x44791,f905(a894,a894)),x44791),f318(f8(a894,f905(a894,a894),x44791),a316)),a315))),x44792)),f254(x44791,x44792))
% 182.20/182.06 [4524]E(f318(f318(f30(a898),x45241),f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45242)),f318(f318(f30(a898),x45241),f318(a103,f318(a103,f318(a103,x45242)))))
% 182.20/182.06 [4525]E(f40(a898,x45251,f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45252)),f40(a898,x45251,f318(a103,f318(a103,f318(a103,x45252)))))
% 182.20/182.06 [4526]E(f40(a898,f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45261),x45262),f40(a898,f318(a103,f318(a103,f318(a103,x45261))),x45262))
% 182.20/182.06 [4538]E(f114(f318(x45381,f318(f318(f76(a90),f318(f94(a90),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45382))),f318(f191(x45381),x45382))
% 182.20/182.06 [4539]E(f318(f318(f30(a898),f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),x45391)),x45392),f318(f318(f30(a898),f318(a103,f318(a103,f318(a103,x45391)))),x45392))
% 182.20/182.06 [4591]~E(f117(x45911,x45912,x45913),f110(x45911))
% 182.20/182.06 [3345]E(f318(f183(x33451,x33452),x33453),f112(x33451,x33452))
% 182.20/182.06 [3364]E(f318(f190(x33641,x33642),x33643),f318(f120(x33641),x33642))
% 182.20/182.06 [3441]E(f318(f318(f145(x34411,x34412),x34413),f104(x34411)),f104(x34412))
% 182.20/182.06 [3480]E(f318(f175(x34801,x34802,x34803),f2(a898)),x34802)
% 182.20/182.06 [3482]E(f318(f318(f172(x34821,x34822),x34823),f104(x34822)),f104(f904(x34821,x34822)))
% 182.20/182.06 [3495]E(f318(f180(f899(x34951)),f160(x34951,x34952,x34953)),x34952)
% 182.20/182.06 [3514]E(f80(x35141,f56(x35141,x35142,x35143)),f318(f57(x35141,x35142),x35143))
% 182.20/182.06 [3518]E(f234(x35181,x35182,f234(x35182,x35181,x35183)),x35183)
% 182.20/182.06 [3538]E(f318(f159(x35381),f160(x35381,x35382,x35383)),f160(x35381,x35382,x35383))
% 182.20/182.06 [3563]E(f131(x35631,x35632,f143(x35631,x35633)),f143(x35631,f131(x35631,x35632,x35633)))
% 182.20/182.06 [3582]E(f318(f242(f899(x35821),f899(x35821)),f157(x35821,x35822,x35823)),f318(f127(x35821,x35822),x35823))
% 182.20/182.06 [3625]E(f318(f318(f142(x36251),x36252),f160(x36251,x36253,x36252)),f160(x36251,f318(a103,x36253),x36252))
% 182.20/182.06 [3657]E(f176(x36571,x36572,x36573,f2(a898)),x36572)
% 182.20/182.06 [3658]E(f17(x36581,x36582,x36583,f2(a90)),x36582)
% 182.20/182.06 [3659]E(f19(x36591,x36592,x36593,f2(a90)),x36592)
% 182.20/182.06 [3666]E(f154(x36661,x36662,x36663,f104(x36661)),f104(x36662))
% 182.20/182.06 [3667]E(f121(x36671,x36672,x36673,f110(x36671)),f110(x36672))
% 182.20/182.06 [3673]E(f318(f318(f155(x36731),f318(f318(f142(x36731),x36732),x36733)),f2(a898)),x36732)
% 182.20/182.06 [3701]E(f54(x37011,x37012,f104(x37011),x37013),f104(f904(x37011,x37012)))
% 182.20/182.06 [3721]P24(x37211,x37212,x37213,f179(f905(x37211,a894)))
% 182.20/182.06 [3823]E(f256(x38231,x38232,x38233),f318(f243(f905(a90,f905(a894,f901(f900(x38231)))),f904(a90,a90)),f36(x38231)))
% 182.20/182.06 [3880]E(f318(f67(x38801,x38802,x38801,x38803),f25(x38801)),x38803)
% 182.20/182.06 [4056]P1(f318(f318(f320(f904(x40561,x40561)),f318(f318(f243(x40561,x40561),x40562),x40562)),f298(x40561,x40563)))
% 182.20/182.06 [4635]~P1(f318(f318(f320(f904(f899(x46351),f899(x46351))),f318(f318(f243(f899(x46351),f899(x46351)),x46352),f104(x46351))),f136(x46351,x46353)))
% 182.20/182.06 [4636]~P1(f318(f318(f320(f904(f899(x46361),f899(x46361))),f318(f318(f243(f899(x46361),f899(x46361)),x46362),f104(x46361))),f138(x46361,x46363)))
% 182.20/182.06 [4637]~P1(f318(f318(f320(f904(f899(x46371),f899(x46371))),f318(f318(f243(f899(x46371),f899(x46371)),x46372),f104(x46371))),f148(x46371,x46373)))
% 182.20/182.06 [4638]~P1(f318(f318(f320(f904(f899(x46381),f899(x46381))),f318(f318(f243(f899(x46381),f899(x46381)),f104(x46381)),x46382)),f136(x46381,x46383)))
% 182.20/182.06 [4639]~P1(f318(f318(f320(f904(f899(x46391),f899(x46391))),f318(f318(f243(f899(x46391),f899(x46391)),f104(x46391)),x46392)),f148(x46391,x46393)))
% 182.20/182.06 [3416]E(f318(f318(f192(x34161),x34162),x34163),f193(x34161,f206(x34162,x34163)))
% 182.20/182.06 [3469]E(f318(f277(x34691,x34692),f318(f277(x34692,x34691),x34693)),x34693)
% 182.20/182.06 [3490]E(f318(f318(f172(x34901,x34902),f104(x34901)),x34903),f104(f904(x34901,x34902)))
% 182.20/182.06 [3493]E(f167(x34931,x34932,f318(f273(a898),x34933)),f318(f318(f166(x34931),x34933),x34932))
% 182.20/182.06 [3511]E(f143(x35111,f318(f127(x35111,x35112),x35113)),f318(f127(x35111,x35112),f143(x35111,x35113)))
% 182.20/182.06 [3512]E(f318(f275(x35121,x35122),f318(f277(x35122,x35121),x35123)),f318(f255(x35122,x35121),x35123))
% 182.20/182.06 [3513]E(f318(f255(x35131,x35132),f318(f277(x35132,x35131),x35133)),f318(f275(x35132,x35131),x35133))
% 182.20/182.06 [3531]E(f318(f127(x35311,x35312),f318(f159(x35311),x35313)),f318(f159(x35311),f318(f127(x35311,x35312),x35313)))
% 182.20/182.06 [3543]E(f318(f318(f129(x35431),x35432),f318(f162(x35431),x35433)),f318(f318(f129(x35431),f318(a103,x35432)),x35433))
% 182.20/182.06 [3559]E(f318(f301(x35591,x35592,x35593),f179(f905(x35591,a894))),f179(f905(x35592,a894)))
% 182.20/182.06 [3560]E(f318(f276(x35601,x35602,x35603),f179(f905(x35601,a894))),f179(f905(x35602,a894)))
% 182.20/182.06 [3561]E(f318(f302(x35611,x35612,x35613),f179(f905(x35612,a894))),f179(f905(x35611,a894)))
% 182.20/182.06 [3562]E(f318(f302(x35621,x35622,x35623),f233(f905(x35622,a894))),f233(f905(x35621,a894)))
% 182.20/182.06 [3588]E(f111(x35881,f117(f900(x35881),x35882,x35883)),f107(x35881,x35882,f111(x35881,x35883)))
% 182.20/182.06 [3590]E(f318(f318(f300(x35901),x35902),f318(f163(x35901),x35903)),f318(f163(x35901),f131(x35901,x35902,x35903)))
% 182.20/182.06 [3677]E(f318(f301(f904(x36771,x36772),x36772,f247(x36771,x36772)),x36773),f318(f275(x36771,x36772),x36773))
% 182.20/182.06 [3678]E(f318(f301(f904(x36781,x36782),x36781,f242(x36781,x36782)),x36783),f318(f255(x36781,x36782),x36783))
% 182.20/182.06 [3693]E(f318(f163(x36931),f160(x36931,f318(a103,x36932),x36933)),f318(f318(f300(x36931),x36933),f179(f905(x36931,a894))))
% 182.20/182.06 [3750]E(f318(f318(f243(x37501,x37502),f318(f242(x37501,x37502),x37503)),f318(f247(x37501,x37502),x37503)),x37503)
% 182.20/182.06 [3757]E(f318(f180(f900(x37571)),f117(x37571,x37572,x37573)),f318(f318(f75(a898),f318(f180(f900(x37571)),x37573)),f318(a103,f2(a898))))
% 182.20/182.06 [3759]E(f318(f318(f248(x37591,x37592,x37591),f16(x37591,x37592)),x37593),f318(f242(x37591,x37592),x37593))
% 182.20/182.06 [3885]E(f318(f67(x38851,x38851,x38852,f25(x38851)),x38853),x38853)
% 182.20/182.06 [3892]E(f318(f318(f125(x38921),f160(x38921,x38922,x38923)),f318(f318(f142(x38921),x38923),f104(x38921))),f318(f318(f142(x38921),x38923),f160(x38921,x38922,x38923)))
% 182.20/182.06 [4066]P1(f318(f318(f226(f905(x40661,a894)),f318(f163(x40661),f318(f127(x40661,x40662),x40663))),f318(f163(x40661),x40663)))
% 182.20/182.06 [4109]P1(f318(f318(f226(f905(x41091,a894)),f318(f163(x41091),f318(f318(f166(x41091),x41092),x41093))),f318(f163(x41091),x41093)))
% 182.20/182.06 [4110]P1(f318(f318(f226(f905(x41101,a894)),f318(f163(x41101),f318(f318(f129(x41101),x41102),x41103))),f318(f163(x41101),x41103)))
% 182.20/182.06 [4114]P1(f318(f318(f226(f905(x41141,a894)),f318(f163(x41141),f167(x41141,x41142,x41143))),f318(f163(x41141),x41142)))
% 182.20/182.06 [4115]P1(f318(f318(f226(f905(x41151,a894)),f318(f163(x41151),f161(x41151,x41152,x41153))),f318(f163(x41151),x41153)))
% 182.20/182.06 [4136]P24(f904(x41361,x41362),f904(x41362,x41361),f318(f248(x41361,x41362,f904(x41362,x41361)),f318(f7(x41362,x41361,f904(x41362,x41361)),f243(x41362,x41361))),x41363)
% 182.20/182.06 [4147]E(f318(f318(f318(f174(f899(x41471),f899(x41471)),f40(a898,x41472,f318(f180(f899(x41471)),x41473))),f158(x41471)),x41473),f318(f318(f318(f174(f899(x41471),f899(x41471)),x41472),f158(x41471)),x41473))
% 182.20/182.06 [4191]P1(f318(f318(f320(f904(f899(x41911),f899(x41911))),f318(f318(f243(f899(x41911),f899(x41911)),x41912),x41912)),f149(x41911,f298(x41911,x41913))))
% 182.20/182.06 [4330]E(f80(f904(x43301,x43302),f318(f318(f18(f904(x43301,x43302),x43302,a894),f318(f318(f8(x43301,f905(x43302,a894),f904(x43301,x43302)),x43303),f242(x43301,x43302))),f247(x43301,x43302))),f80(f904(x43301,x43302),f318(f248(x43301,x43302,a894),x43303)))
% 182.20/182.06 [4331]E(f85(f904(x43311,x43312),f318(f318(f18(f904(x43311,x43312),x43312,a894),f318(f318(f8(x43311,f905(x43312,a894),f904(x43311,x43312)),x43313),f242(x43311,x43312))),f247(x43311,x43312))),f85(f904(x43311,x43312),f318(f248(x43311,x43312,a894),x43313)))
% 182.20/182.06 [4364]E(f318(f318(f279(f904(a898,x43641),x43641),f310(a898,x43641,a231,x43642)),f318(f318(f18(x43641,x43641,f904(a898,x43641)),f318(f318(f8(a898,f905(x43641,f904(a898,x43641)),x43641),f243(a898,x43641)),x43643)),f5(x43641))),f312(x43641,x43643,x43642))
% 182.20/182.06 [4426]E(f318(f249(x44261,x44261,x44262,x44262,f5(x44261),f5(x44262)),x44263),x44263)
% 182.20/182.06 [4499]E(f318(f133(f899(f899(x44991)),f899(f899(x44991)),f125(f899(x44991)),f104(f899(x44991))),f318(f318(f145(f899(x44991),f899(f899(x44991))),f318(f318(f7(f899(x44991),f899(x44991),f899(f899(x44991))),f318(f318(f8(f905(x44991,f899(x44991)),f905(f899(x44991),f899(f899(x44991))),f899(x44991)),f145(x44991,f899(x44991))),f318(f7(x44991,f899(x44991),f899(x44991)),f142(x44991)))),x44992)),f50(x44991,x44993,x44992))),f50(x44991,f318(a103,x44993),x44992))
% 182.20/182.06 [4555]E(f214(a898,f904(x45551,f900(x45551)),f2(a898),f318(f248(x45551,f900(x45551),a898),f318(f318(f7(x45551,a898,f905(f900(x45551),a898)),f318(f318(f8(f905(f900(x45551),f905(a898,a898)),f905(a898,f905(f900(x45551),a898)),x45551),f7(f900(x45551),a898,a898)),f318(f318(f8(f905(f900(x45551),a898),f905(f900(x45551),f905(a898,a898)),x45551),f318(f8(a898,f905(a898,a898),f900(x45551)),f75(a898))),f318(f318(f7(x45551,f905(f900(x45551),a898),f905(f900(x45551),a898)),f318(f318(f8(f905(a898,a898),f905(f905(f900(x45551),a898),f905(f900(x45551),a898)),x45551),f8(a898,a898,f900(x45551))),f318(f318(f8(a898,f905(a898,a898),x45551),f75(a898)),x45552))),f116(x45551,x45552))))),f73(a898))),f318(f126(x45551),x45553)),f318(f116(x45551,x45552),x45553))
% 182.20/182.06 [4563]E(f318(f318(f81(a1,x45631),f209(f318(f318(f67(f904(a1,a1),a1,x45631,f247(a1,a1)),f203(x45631)),x45632),f318(f318(f67(f904(a1,a1),a1,x45631,f247(a1,a1)),f203(x45631)),x45633))),f318(f318(f18(a1,a1,x45631),f318(f318(f8(a1,f905(a1,x45631),a1),f192(x45631)),f318(f318(f18(a1,a1,a1),f318(f318(f8(a1,f905(a1,a1),a1),f75(a1)),f318(f318(f8(a1,a1,a1),f318(f76(a1),f318(f318(f67(f904(a1,a1),a1,x45631,f242(a1,a1)),f203(x45631)),x45632))),f318(f318(f7(a1,a1,a1),f30(a1)),f318(f318(f67(f904(a1,a1),a1,x45631,f247(a1,a1)),f203(x45631)),x45632))))),f318(f318(f8(a1,a1,a1),f318(f76(a1),f318(f318(f67(f904(a1,a1),a1,x45631,f242(a1,a1)),f203(x45631)),x45633))),f318(f318(f7(a1,a1,a1),f30(a1)),f318(f318(f67(f904(a1,a1),a1,x45631,f247(a1,a1)),f203(x45631)),x45633)))))),f5(a1))),f221(x45631,x45632,x45633))
% 182.20/182.06 [4586]~E(f318(f318(f142(x45861),x45862),x45863),x45863)
% 182.20/182.06 [4589]~E(f318(f318(f142(x45891),x45892),x45893),f104(x45891))
% 182.20/182.06 [4595]~E(f318(f318(f300(x45951),x45952),x45953),f179(f905(x45951,a894)))
% 182.20/182.06 [4616]~E(f318(f301(x46161,f905(x46161,a894),x46162),x46163),f318(f299(x46161),x46163))
% 182.20/182.06 [3474]E(f318(f318(f150(x34741,f104(x34741)),x34742),x34743),f104(x34741))
% 182.20/182.06 [3475]E(f318(f132(x34751),f318(f318(f142(x34751),x34752),x34753)),x34752)
% 182.20/182.06 [3476]E(f318(f162(x34761),f318(f318(f142(x34761),x34762),x34763)),x34763)
% 182.20/182.06 [3517]E(f318(f318(f129(x35171),f73(a898)),f318(f318(f142(x35171),x35172),x35173)),x35173)
% 182.20/182.06 [3550]E(f105(x35501,f318(f318(f129(x35501),x35502),x35503)),f318(f318(f129(x35501),x35502),f105(x35501,x35503)))
% 182.20/182.06 [3552]E(f318(f318(f150(x35521,x35522),x35523),f318(f318(f155(x35521),x35522),x35523)),x35522)
% 182.20/182.06 [3572]E(f318(f318(f300(x35721),x35722),f318(f318(f300(x35721),x35722),x35723)),f318(f318(f300(x35721),x35722),x35723))
% 182.20/182.06 [3585]E(f318(f318(f300(x35851),x35852),f318(f163(x35851),x35853)),f318(f163(x35851),f318(f318(f142(x35851),x35852),x35853)))
% 182.20/182.06 [3587]E(f318(f318(f129(x35871),x35872),f318(f162(x35871),x35873)),f318(f162(x35871),f318(f318(f129(x35871),x35872),x35873)))
% 182.20/182.06 [3599]E(f318(f318(f166(x35991),f73(a898)),f318(f318(f142(x35991),x35992),x35993)),f318(f318(f142(x35991),x35992),f104(x35991)))
% 182.20/182.06 [3642]E(f318(f57(x36421,x36422),f318(f318(f300(x36421),x36423),f179(f905(x36421,a894)))),x36423)
% 182.20/182.06 [3683]E(f318(f318(f75(a898),x36831),f318(f318(f75(a898),x36832),x36833)),f318(f318(f75(a898),x36832),f318(f318(f75(a898),x36831),x36833)))
% 182.20/182.06 [3684]E(f318(f318(f75(a1),x36841),f318(f318(f75(a1),x36842),x36843)),f318(f318(f75(a1),x36842),f318(f318(f75(a1),x36841),x36843)))
% 182.20/182.06 [3689]E(f318(f318(f245(x36891,x36892),f179(f905(x36891,a894))),x36893),f179(f905(f904(x36891,x36892),a894)))
% 182.20/182.06 [3713]E(f318(f318(f92(f905(x37131,a894)),x37132),x37133),f318(f318(f92(f905(x37131,a894)),x37133),x37132))
% 182.20/182.06 [3714]E(f318(f318(f101(f905(x37141,a894)),x37142),x37143),f318(f318(f101(f905(x37141,a894)),x37143),x37142))
% 182.20/182.06 [3716]E(f318(f318(f125(x37161),x37162),f318(f318(f142(x37161),x37163),f104(x37161))),f318(f158(x37161),f318(f318(f142(x37161),x37163),x37162)))
% 182.20/182.06 [3717]E(f318(f318(f125(x37171),f318(f159(x37171),x37172)),f318(f159(x37171),x37173)),f318(f159(x37171),f318(f318(f125(x37171),x37173),x37172)))
% 182.20/182.06 [3727]E(f318(f162(x37271),f318(f318(f166(x37271),f318(a103,x37272)),x37273)),f318(f318(f166(x37271),x37272),f318(f162(x37271),x37273)))
% 182.20/182.06 [3735]P1(f318(f318(f320(x37351),x37352),f318(f318(f300(x37351),x37352),x37353)))
% 182.20/182.06 [3739]E(f318(f318(f35(x37391,f905(x37392,a894)),f179(f905(x37391,a894))),x37393),f233(f905(x37392,a894)))
% 182.20/182.06 [3742]E(f318(f276(x37421,x37421,f254(x37421,x37422)),x37423),f318(f318(f92(f905(x37421,a894)),x37422),x37423))
% 182.20/182.06 [3756]E(f318(f180(f899(x37561)),f318(f318(f142(x37561),x37562),x37563)),f318(f318(f75(a898),f318(f180(f899(x37561)),x37563)),f318(a103,f2(a898))))
% 182.20/182.06 [3761]E(f105(x37611,f318(f318(f125(x37611),x37612),f318(f318(f142(x37611),x37613),f104(x37611)))),x37612)
% 182.20/182.06 [3762]E(f135(x37621,f318(f318(f125(x37621),x37622),f318(f318(f142(x37621),x37623),f104(x37621)))),x37623)
% 182.20/182.06 [3770]E(f318(f318(f125(x37701),f318(f318(f166(x37701),x37702),x37703)),f318(f318(f129(x37701),x37702),x37703)),x37703)
% 182.20/182.06 [3779]E(f318(f318(f23(a898),f318(f318(f75(a898),x37791),x37792)),f318(f318(f75(a898),x37793),x37792)),f318(f318(f23(a898),x37791),x37793))
% 182.20/182.06 [3780]E(f318(f318(f23(a898),f318(f318(f75(a898),x37801),x37802)),f318(f318(f75(a898),x37801),x37803)),f318(f318(f23(a898),x37802),x37803))
% 182.20/182.06 [3786]E(f318(f318(f125(x37861),f318(f159(x37861),x37862)),f318(f318(f142(x37861),x37863),f104(x37861))),f318(f159(x37861),f318(f318(f142(x37861),x37863),x37862)))
% 182.20/182.06 [3788]E(f318(f318(f75(a898),f318(f180(f899(x37881)),x37882)),f318(f180(f899(x37881)),x37883)),f318(f180(f899(x37881)),f318(f318(f125(x37881),x37882),x37883)))
% 182.20/182.06 [3791]E(f318(f318(f75(a898),f318(f180(f899(x37911)),x37912)),f318(f180(f899(x37911)),x37913)),f318(f180(f899(x37911)),f164(x37911,x37912,x37913)))
% 182.20/182.06 [3798]E(f318(f318(f101(f905(x37981,a894)),f318(f163(x37981),x37982)),f318(f163(x37981),x37983)),f318(f163(x37981),f318(f318(f125(x37981),x37982),x37983)))
% 182.20/182.06 [3799]E(f40(a898,f318(f318(f76(a898),x37991),x37992),f318(f318(f76(a898),x37991),x37993)),f318(f318(f76(a898),x37991),f40(a898,x37992,x37993)))
% 182.20/182.06 [3811]E(f318(f318(f166(x38111),f318(f318(f23(a898),x38112),f73(a898))),f318(f162(x38111),x38113)),f318(f162(x38111),f318(f318(f166(x38111),x38112),x38113)))
% 182.20/182.06 [3816]E(f318(f318(f92(f905(x38161,a894)),x38162),f318(f74(f905(x38161,a894)),x38163)),f318(f318(f23(f905(x38161,a894)),x38162),x38163))
% 182.20/182.06 [3817]E(f318(f318(f23(f905(x38171,a894)),x38172),f318(f74(f905(x38171,a894)),x38173)),f318(f318(f92(f905(x38171,a894)),x38172),x38173))
% 182.20/182.06 [3839]E(f318(f318(f245(x38391,x38392),x38393),f318(f16(f905(x38392,a894),x38391),f179(f905(x38392,a894)))),f179(f905(f904(x38391,x38392),a894)))
% 182.20/182.06 [3841]E(f318(f318(f23(a898),f318(f318(f76(a898),x38411),x38412)),f318(f318(f76(a898),x38411),x38413)),f318(f318(f76(a898),x38411),f318(f318(f23(a898),x38412),x38413)))
% 182.20/182.06 [3842]E(f318(f318(f75(a898),f318(f318(f76(a898),x38421),x38422)),f318(f318(f76(a898),x38421),x38423)),f318(f318(f76(a898),x38421),f318(f318(f75(a898),x38422),x38423)))
% 182.20/182.06 [3843]E(f318(f318(f23(a1),f318(f318(f76(a1),x38431),x38432)),f318(f318(f76(a1),x38431),x38433)),f318(f318(f76(a1),x38431),f318(f318(f23(a1),x38432),x38433)))
% 182.20/182.06 [3844]E(f318(f318(f75(a1),f318(f318(f76(a1),x38441),x38442)),f318(f318(f76(a1),x38441),x38443)),f318(f318(f76(a1),x38441),f318(f318(f75(a1),x38442),x38443)))
% 182.20/182.06 [3845]E(f318(f318(f76(a1),f318(f318(f235(a1),x38451),x38452)),f318(f318(f235(a1),x38451),x38453)),f318(f318(f235(a1),x38451),f318(f318(f75(a898),x38452),x38453)))
% 182.20/182.06 [3859]E(f318(f318(f34(x38591,f905(x38592,a894)),x38593),f318(f16(f905(x38592,a894),x38591),f179(f905(x38592,a894)))),f179(f905(x38592,a894)))
% 182.20/182.06 [3861]E(f40(a898,f318(f318(f76(a898),x38611),x38612),f318(f318(f76(a898),x38613),x38612)),f318(f318(f76(a898),f40(a898,x38611,x38613)),x38612))
% 182.20/182.06 [3866]E(f40(a1,f318(f318(f23(a1),x38661),f40(a1,x38662,x38663)),x38663),f40(a1,f318(f318(f23(a1),x38661),x38662),x38663))
% 182.20/182.06 [3867]E(f40(a1,f318(f318(f76(a1),x38671),f40(a1,x38672,x38673)),x38673),f40(a1,f318(f318(f76(a1),x38671),x38672),x38673))
% 182.20/182.06 [3868]P1(f318(f318(f226(f905(x38681,a894)),x38682),f318(f318(f300(x38681),x38683),x38682)))
% 182.20/182.06 [3943]E(f318(f318(f34(f905(x39431,a894),f905(x39431,a894)),x39432),f318(f92(f905(x39431,a894)),x39433)),f318(f318(f92(f905(x39431,a894)),x39433),f31(f905(x39431,a894),x39432)))
% 182.20/182.06 [3944]E(f318(f318(f35(f905(x39441,a894),f905(x39441,a894)),x39442),f318(f101(f905(x39441,a894)),x39443)),f318(f318(f101(f905(x39441,a894)),x39443),f32(f905(x39441,a894),x39442)))
% 182.20/182.06 [3956]E(f318(f163(x39561),f318(f318(f318(f174(f899(x39561),f899(x39561)),x39562),f158(x39561)),x39563)),f318(f163(x39561),x39563))
% 182.20/182.06 [3960]E(f318(f318(f166(x39601),f318(f180(f899(x39601)),f168(x39601,x39602,x39603))),x39603),f168(x39601,x39602,x39603))
% 182.20/182.06 [3964]E(f318(f180(f899(x39641)),f318(f318(f318(f174(f899(x39641),f899(x39641)),x39642),f158(x39641)),x39643)),f318(f180(f899(x39641)),x39643))
% 182.20/182.06 [3967]E(f318(f318(f248(x39671,x39672,x39672),f318(f16(f905(x39672,x39672),x39671),f5(x39672))),x39673),f318(f247(x39671,x39672),x39673))
% 182.20/182.06 [3973]E(f40(a1,f318(f318(f23(a1),f40(a1,x39731,x39732)),x39733),x39732),f40(a1,f318(f318(f23(a1),x39731),x39733),x39732))
% 182.20/182.06 [3974]E(f40(a1,f318(f318(f235(a1),f40(a1,x39741,x39742)),x39743),x39742),f40(a1,f318(f318(f235(a1),x39741),x39743),x39742))
% 182.20/182.06 [3977]E(f318(f318(f34(f905(f904(x39771,x39772),a894),f905(x39772,a894)),x39773),f275(x39771,x39772)),f318(f275(x39771,x39772),f31(f905(f904(x39771,x39772),a894),x39773)))
% 182.20/182.06 [3978]E(f318(f318(f34(f905(f904(x39781,x39782),a894),f905(x39781,a894)),x39783),f255(x39781,x39782)),f318(f255(x39781,x39782),f31(f905(f904(x39781,x39782),a894),x39783)))
% 182.20/182.06 [4001]E(f318(f67(x40011,x40011,x40011,x40012),f318(f318(f174(x40011,x40011),x40013),x40012)),f318(f318(f174(x40011,x40011),f318(a103,x40013)),x40012))
% 182.20/182.06 [4019]E(f318(f318(f129(x40191),f318(f318(f23(a898),f318(f180(f899(x40191)),x40192)),x40193)),f318(f159(x40191),x40192)),f318(f159(x40191),f318(f318(f166(x40191),x40193),x40192)))
% 182.20/182.06 [4020]E(f318(f318(f166(x40201),f318(f318(f23(a898),f318(f180(f899(x40201)),x40202)),x40203)),f318(f159(x40201),x40202)),f318(f159(x40201),f318(f318(f129(x40201),x40203),x40202)))
% 182.20/182.06 [4022]E(f318(f318(f75(a898),f318(f156(a898),f318(f318(f145(x40221,a898),x40222),x40223))),f318(f180(f899(x40221)),x40223)),f146(x40221,x40222,x40223))
% 182.20/182.06 [4043]E(f318(f158(x40431),f318(f318(f318(f174(f899(x40431),f899(x40431)),x40432),f158(x40431)),x40433)),f318(f318(f318(f174(f899(x40431),f899(x40431)),f318(a103,x40432)),f158(x40431)),x40433))
% 182.20/182.06 [4057]P1(f318(f318(f226(a898),f318(f180(f899(x40571)),f318(f127(x40571,x40572),x40573))),f318(f180(f899(x40571)),x40573)))
% 182.20/182.06 [4074]E(f318(f318(f101(f905(f905(x40741,a894),a894)),f318(f299(x40741),x40742)),f318(f301(f905(x40741,a894),f905(x40741,a894),f318(f300(x40741),x40743)),f318(f299(x40741),x40742))),f318(f299(x40741),f318(f318(f300(x40741),x40743),x40742)))
% 182.20/182.06 [4106]P1(f318(f318(f226(a898),f318(f180(f899(x41061)),f168(x41061,x41062,x41063))),f318(f180(f899(x41061)),x41063)))
% 182.20/182.06 [4113]E(f318(f255(x41131,x41132),f318(f253(f904(x41131,x41132)),f318(f248(x41131,x41132,a894),x41133))),f318(f253(x41131),f318(f318(f8(f905(x41132,a894),a894,x41131),f82(x41132)),x41133)))
% 182.20/182.06 [4125]E(f318(f301(a898,a898,f318(f318(f7(a898,a898,a898),f75(a898)),x41251)),f294(a898,x41252,x41253)),f294(a898,f318(f318(f75(a898),x41252),x41251),f318(f318(f75(a898),x41253),x41251)))
% 182.20/182.06 [4139]E(f318(f301(a898,a898,f318(f318(f7(a898,a898,a898),f75(a898)),x41391)),f318(f293(a898,x41392),x41393)),f318(f293(a898,f318(f318(f75(a898),x41392),x41391)),f318(f318(f75(a898),x41393),x41391)))
% 182.20/182.06 [4157]E(f318(f318(f172(x41571,x41572),f318(f318(f145(f904(x41571,x41572),x41571),f242(x41571,x41572)),x41573)),f318(f318(f145(f904(x41571,x41572),x41572),f247(x41571,x41572)),x41573)),x41573)
% 182.20/182.06 [4162]E(f318(f318(f75(a898),f318(f318(f76(a898),x41621),f40(a898,f318(f318(f30(a898),x41622),x41621),x41623))),f40(a898,x41622,x41621)),f40(a898,x41622,f318(f318(f76(a898),x41621),x41623)))
% 182.20/182.06 [4175]E(f318(f318(f125(x41751),x41752),f318(f133(f899(x41751),f899(x41751),f125(x41751),f104(x41751)),x41753)),f318(f133(f899(x41751),f899(x41751),f125(x41751),x41752),x41753))
% 182.20/182.06 [4196]P1(f318(f318(f320(f904(x41961,x41961)),f318(f318(f243(x41961,x41961),x41962),x41962)),f318(f318(f174(f904(x41961,x41961),a894),f2(a898)),x41963)))
% 182.20/182.06 [4201]E(f318(f253(x42011),f318(f318(f8(f905(x42012,a894),a894,x42011),f82(x42012)),f318(f7(x42012,x42011,a894),x42013))),f318(f275(x42012,x42011),f318(f253(f904(x42012,x42011)),f318(f248(x42012,x42011,a894),x42013))))
% 182.20/182.06 [4218]E(f318(f318(f101(f905(x42181,a894)),f318(f318(f34(a898,f905(x42181,a894)),f294(a898,f73(a898),x42182)),x42183)),f318(x42183,f2(a898))),f318(f318(f34(a898,f905(x42181,a894)),f318(f292(a898),x42182)),x42183))
% 182.20/182.06 [4233]E(f318(f133(f899(x42331),f899(x42331),f125(x42331),f104(x42331)),f318(f318(f145(f899(x42331),f899(x42331)),f127(x42331,x42332)),x42333)),f318(f127(x42331,x42332),f318(f133(f899(x42331),f899(x42331),f125(x42331),f104(x42331)),x42333)))
% 182.20/182.06 [4237]E(f318(f247(f899(x42371),f899(x42371)),f157(x42371,x42372,x42373)),f318(f127(x42371,f318(f67(a894,a894,x42371,a313),x42372)),x42373))
% 182.20/182.06 [4282]E(f318(f318(f75(a1),f318(f318(f75(a1),f318(f318(f76(a1),x42821),f318(f318(f30(a1),x42822),x42821))),f40(a1,x42822,x42821))),x42823),f318(f318(f75(a1),x42822),x42823))
% 182.20/182.06 [4319]E(f318(f318(f75(a1),f318(f318(f75(a1),f318(f318(f76(a1),f318(f318(f30(a1),x43191),x43192)),x43192)),f40(a1,x43191,x43192))),x43193),f318(f318(f75(a1),x43191),x43193))
% 182.20/182.06 [4345]E(f80(f904(x43451,x43452),f318(f248(x43451,x43452,a894),f318(f318(f8(f905(x43452,f904(x43451,x43452)),f905(x43452,a894),x43451),f318(f8(f904(x43451,x43452),a894,x43452),x43453)),f243(x43451,x43452)))),f80(f904(x43451,x43452),x43453))
% 182.20/182.06 [4346]E(f85(f904(x43461,x43462),f318(f248(x43461,x43462,a894),f318(f318(f8(f905(x43462,f904(x43461,x43462)),f905(x43462,a894),x43461),f318(f8(f904(x43461,x43462),a894,x43462),x43463)),f243(x43461,x43462)))),f85(f904(x43461,x43462),x43463))
% 182.20/182.06 [4373]P1(f318(f318(f226(f905(x43731,a894)),f31(f905(x43731,a894),f318(f318(f92(f905(f905(x43731,a894),a894)),x43732),x43733))),f318(f318(f92(f905(x43731,a894)),f31(f905(x43731,a894),x43732)),f31(f905(x43731,a894),x43733))))
% 182.20/182.06 [4374]E(f318(f159(x43741),f318(f318(f318(f174(f899(x43741),f899(x43741)),f318(f318(f23(a898),f318(f180(f899(x43741)),x43742)),f40(a898,x43743,f318(f180(f899(x43741)),x43742)))),f158(x43741)),x43742)),f318(f318(f318(f174(f899(x43741),f899(x43741)),x43743),f158(x43741)),f318(f159(x43741),x43742)))
% 182.20/182.06 [4411]P1(f318(f318(f226(a898),f318(f180(f899(x44111)),f318(f318(f129(x44111),f318(f180(f899(x44111)),f168(x44111,x44112,x44113))),x44113))),f318(f180(f899(x44111)),x44113)))
% 182.20/182.06 [4628]~P1(f318(f56(x46281,x46282,f179(f905(x46281,a894))),x46283))
% 182.20/182.06 [4634]~P1(f318(f318(f320(f904(x46341,x46341)),f318(f318(f243(x46341,x46341),x46342),x46343)),f144(x46341,f104(f905(x46341,a898)))))
% 182.20/182.06 [3728]E(f318(f180(f899(x37281)),f318(f318(f166(x37281),x37282),x37283)),f318(f318(f224(a898),f318(f180(f899(x37281)),x37283)),x37282))
% 182.20/182.06 [3729]E(f318(f180(f899(x37291)),f318(f318(f129(x37291),x37292),x37293)),f318(f318(f23(a898),f318(f180(f899(x37291)),x37293)),x37292))
% 182.20/182.06 [3755]E(f318(f180(f899(f899(x37551))),f50(x37551,x37552,x37553)),f318(f318(f235(a898),f318(f180(f899(x37551)),x37553)),x37552))
% 182.20/182.06 [3772]E(f318(f318(f30(a898),f318(f318(f30(a898),x37721),x37722)),x37723),f318(f318(f30(a898),x37721),f318(f318(f76(a898),x37722),x37723)))
% 182.20/182.06 [3773]E(f318(f318(f23(a898),f318(f318(f23(a898),x37731),x37732)),x37733),f318(f318(f23(a898),x37731),f318(f318(f75(a898),x37732),x37733)))
% 182.20/182.06 [3774]E(f318(f318(f75(a898),f318(f318(f75(a898),x37741),x37742)),x37743),f318(f318(f75(a898),x37741),f318(f318(f75(a898),x37742),x37743)))
% 182.20/182.06 [3775]E(f318(f318(f75(a1),f318(f318(f75(a1),x37751),x37752)),x37753),f318(f318(f75(a1),x37751),f318(f318(f75(a1),x37752),x37753)))
% 182.20/182.06 [3776]E(f318(f318(f76(a898),f318(f318(f76(a898),x37761),x37762)),x37763),f318(f318(f76(a898),x37761),f318(f318(f76(a898),x37762),x37763)))
% 182.20/182.06 [3777]E(f318(f318(f76(a1),f318(f318(f76(a1),x37771),x37772)),x37773),f318(f318(f76(a1),x37771),f318(f318(f76(a1),x37772),x37773)))
% 182.20/182.06 [3778]E(f318(f318(f235(a1),f318(f318(f235(a1),x37781),x37782)),x37783),f318(f318(f235(a1),x37781),f318(f318(f76(a898),x37782),x37783)))
% 182.20/182.06 [3797]E(f153(x37971,f318(f318(f142(f905(x37971,a894)),x37972),x37973)),f165(x37971,x37972,f153(x37971,x37973)))
% 182.20/182.06 [3840]E(f318(f318(f23(a898),f318(f318(f23(a898),x38401),x38402)),x38403),f318(f318(f23(a898),f318(f318(f23(a898),x38401),x38403)),x38402))
% 182.20/182.06 [3848]E(f318(f318(f92(f905(x38481,a894)),x38482),f318(f318(f23(f905(x38481,a894)),x38483),x38482)),f179(f905(x38481,a894)))
% 182.20/182.06 [3852]E(f318(f318(f145(a898,x38521),f318(f16(x38521,a898),x38522)),f130(a898,f318(f293(a898,f2(a898)),x38523))),f160(x38521,x38523,x38522))
% 182.20/182.06 [3890]E(f32(f905(x38901,a894),f318(f318(f300(f905(x38901,a894)),x38902),x38903)),f318(f318(f92(f905(x38901,a894)),x38902),f32(f905(x38901,a894),x38903)))
% 182.20/182.06 [3891]E(f31(f905(x38911,a894),f318(f318(f300(f905(x38911,a894)),x38912),x38913)),f318(f318(f101(f905(x38911,a894)),x38912),f31(f905(x38911,a894),x38913)))
% 182.20/182.06 [3893]E(f160(x38931,f318(f180(f899(x38931)),f318(f127(x38931,f318(a315,x38932)),x38933)),x38932),f318(f127(x38931,f318(a315,x38932)),x38933))
% 182.20/182.06 [3895]E(f318(f318(f23(a898),f318(f318(f76(a898),x38951),x38952)),f318(f318(f76(a898),x38953),x38952)),f318(f318(f76(a898),f318(f318(f23(a898),x38951),x38953)),x38952))
% 182.20/182.06 [3896]E(f318(f318(f75(a898),f318(f318(f76(a898),x38961),x38962)),f318(f318(f76(a898),x38963),x38962)),f318(f318(f76(a898),f318(f318(f75(a898),x38961),x38963)),x38962))
% 182.20/182.06 [3897]E(f318(f318(f23(a1),f318(f318(f76(a1),x38971),x38972)),f318(f318(f76(a1),x38973),x38972)),f318(f318(f76(a1),f318(f318(f23(a1),x38971),x38973)),x38972))
% 182.20/182.06 [3898]E(f318(f318(f75(a1),f318(f318(f76(a1),x38981),x38982)),f318(f318(f76(a1),x38983),x38982)),f318(f318(f76(a1),f318(f318(f75(a1),x38981),x38983)),x38982))
% 182.20/182.06 [3900]E(f318(f318(f224(a898),f318(f318(f23(a898),x39001),x39002)),f318(f318(f23(a898),x39003),x39002)),f318(f318(f23(a898),f318(f318(f224(a898),x39001),x39003)),x39002))
% 182.20/182.06 [3920]E(f318(f318(f92(f905(f899(x39201),a894)),f151(x39201,x39202)),f151(x39201,x39203)),f151(x39201,f318(f318(f92(f905(x39201,a894)),x39202),x39203)))
% 182.20/182.06 [3923]E(f318(f318(f92(f905(x39231,a894)),x39232),f318(f318(f92(f905(x39231,a894)),x39232),x39233)),f318(f318(f92(f905(x39231,a894)),x39232),x39233))
% 182.20/182.06 [3924]E(f318(f318(f101(f905(x39241,a894)),x39242),f318(f318(f23(f905(x39241,a894)),x39243),x39242)),f318(f318(f101(f905(x39241,a894)),x39242),x39243))
% 182.20/182.06 [3925]E(f318(f318(f101(f905(x39251,a894)),x39252),f318(f318(f101(f905(x39251,a894)),x39252),x39253)),f318(f318(f101(f905(x39251,a894)),x39252),x39253))
% 182.20/182.06 [3937]E(f318(f318(f280(x39371,x39372,x39372),x39373),f298(x39372,f179(f905(f904(x39372,x39372),a894)))),x39373)
% 182.20/182.06 [3940]E(f318(f318(f101(f905(x39401,a894)),f318(f318(f300(x39401),x39402),f179(f905(x39401,a894)))),x39403),f318(f318(f300(x39401),x39402),x39403))
% 182.20/182.06 [3959]E(f318(f318(f23(a898),f318(f318(f23(a898),f318(a103,x39591)),x39592)),f318(a103,x39593)),f318(f318(f23(a898),f318(f318(f23(a898),x39591),x39592)),x39593))
% 182.20/182.06 [3986]E(f318(f318(f92(f905(f905(x39861,a894),a894)),f318(f299(x39861),x39862)),f318(f299(x39861),x39863)),f318(f299(x39861),f318(f318(f92(f905(x39861,a894)),x39862),x39863)))
% 182.20/182.06 [3989]E(f318(f318(f101(f905(x39891,a894)),f318(f74(f905(x39891,a894)),x39892)),x39893),f318(f74(f905(x39891,a894)),f318(f318(f23(f905(x39891,a894)),x39892),x39893)))
% 182.20/182.06 [3998]E(f318(f318(f300(x39981),x39982),f318(f318(f23(f905(x39981,a894)),x39983),f318(f318(f300(x39981),x39982),f179(f905(x39981,a894))))),f318(f318(f300(x39981),x39982),x39983))
% 182.20/182.06 [4008]P1(f318(f318(f226(f905(x40081,a894)),x40082),f318(f318(f101(f905(x40081,a894)),x40083),x40082)))
% 182.20/182.06 [4009]P1(f318(f318(f226(f905(x40091,a894)),x40092),f318(f318(f101(f905(x40091,a894)),x40092),x40093)))
% 182.20/182.06 [4013]E(f318(f318(f101(f905(x40131,a894)),f318(f74(f905(x40131,a894)),x40132)),f318(f74(f905(x40131,a894)),x40133)),f318(f74(f905(x40131,a894)),f318(f318(f92(f905(x40131,a894)),x40132),x40133)))
% 182.20/182.06 [4014]E(f318(f318(f92(f905(x40141,a894)),f318(f74(f905(x40141,a894)),x40142)),f318(f74(f905(x40141,a894)),x40143)),f318(f74(f905(x40141,a894)),f318(f318(f101(f905(x40141,a894)),x40142),x40143)))
% 182.20/182.06 [4028]P1(f318(f318(f226(f905(x40281,a894)),f318(f163(x40281),x40282)),f318(f163(x40281),f318(f318(f142(x40281),x40283),x40282))))
% 182.20/182.06 [4040]E(f318(f318(f101(f905(x40401,a894)),f318(f318(f23(f905(x40401,a894)),x40402),x40403)),f318(f318(f92(f905(x40401,a894)),x40402),x40403)),x40402)
% 182.20/182.06 [4093]E(f318(f318(f6(x40931,a1),f318(f318(f8(a898,a1,x40931),f91(a1)),x40932)),x40933),f318(f91(a1),f318(f318(f6(x40931,a898),x40932),x40933)))
% 182.20/182.06 [4094]E(f318(f318(f9(x40941,a1),f318(f318(f8(a898,a1,x40941),f91(a1)),x40942)),x40943),f318(f91(a1),f318(f318(f9(x40941,a898),x40942),x40943)))
% 182.20/182.06 [4141]E(f318(f318(f125(x41411),f168(x41411,x41412,x41413)),f318(f318(f129(x41411),f318(f180(f899(x41411)),f168(x41411,x41412,x41413))),x41413)),x41413)
% 182.20/182.06 [4145]E(f318(f74(f905(f904(x41451,x41452),a894)),f318(f318(f245(x41451,x41452),x41453),f318(f16(f905(x41452,a894),x41451),f233(f905(x41452,a894))))),f318(f318(f245(x41451,x41452),f318(f74(f905(x41451,a894)),x41453)),f318(f16(f905(x41452,a894),x41451),f233(f905(x41452,a894)))))
% 182.20/182.06 [4146]E(f318(f74(f905(f904(x41461,x41462),a894)),f318(f318(f245(x41461,x41462),f233(f905(x41461,a894))),f318(f16(f905(x41462,a894),x41461),x41463))),f318(f318(f245(x41461,x41462),f233(f905(x41461,a894))),f318(f16(f905(x41462,a894),x41461),f318(f74(f905(x41462,a894)),x41463))))
% 182.20/182.06 [4197]E(f318(f318(f34(f905(x41971,a894),f905(x41971,a894)),x41972),f318(f318(f7(f905(x41971,a894),f905(x41971,a894),f905(x41971,a894)),f92(f905(x41971,a894))),x41973)),f318(f318(f92(f905(x41971,a894)),f31(f905(x41971,a894),x41972)),x41973))
% 182.20/182.06 [4203]E(f318(f133(f899(x42031),f899(x42031),f125(x42031),f104(x42031)),f318(f318(f142(f899(x42031)),x42032),x42033)),f318(f318(f125(x42031),x42032),f318(f133(f899(x42031),f899(x42031),f125(x42031),f104(x42031)),x42033)))
% 182.20/182.06 [4224]E(f318(f318(f300(f905(x42241,a894)),f318(f276(x42241,x42241,x42242),f318(f318(f300(x42241),x42243),f179(f905(x42241,a894))))),f179(f905(f905(x42241,a894),a894))),f318(f318(f55(x42241),f318(f318(f300(x42241),x42243),f179(f905(x42241,a894)))),x42242))
% 182.20/182.06 [4234]E(f318(f318(f75(a898),f318(f318(f76(a898),x42341),f318(f318(f30(a898),x42342),x42343))),f318(f318(f30(a898),f318(f318(f76(a898),x42341),f40(a898,x42342,x42343))),x42343)),f318(f318(f30(a898),f318(f318(f76(a898),x42341),x42342)),x42343))
% 182.20/182.06 [4235]E(f318(f318(f75(a1),f318(f318(f76(a1),x42351),f318(f318(f30(a1),x42352),x42353))),f318(f318(f30(a1),f318(f318(f76(a1),x42351),f40(a1,x42352,x42353))),x42353)),f318(f318(f30(a1),f318(f318(f76(a1),x42351),x42352)),x42353))
% 182.20/182.06 [4267]E(f318(f318(f23(f905(x42671,a894)),f318(f163(x42671),x42672)),f318(f318(f300(x42671),x42673),f179(f905(x42671,a894)))),f318(f163(x42671),f318(f127(x42671,f318(f318(f8(a894,a894,x42671),a313),f318(a315,x42673))),x42672)))
% 182.20/182.06 [4317]E(f318(f318(f125(x43171),f318(f133(f899(x43171),f899(x43171),f125(x43171),f104(x43171)),x43172)),f318(f133(f899(x43171),f899(x43171),f125(x43171),f104(x43171)),x43173)),f318(f133(f899(x43171),f899(x43171),f125(x43171),f104(x43171)),f318(f318(f125(f899(x43171)),x43172),x43173)))
% 182.20/182.06 [4320]E(f318(f318(f243(f899(x43201),f899(x43201)),f318(f127(x43201,x43202),x43203)),f318(f127(x43201,f318(f67(a894,a894,x43201,a313),x43202)),x43203)),f157(x43201,x43202,x43203))
% 182.20/182.06 [4323]E(f318(f318(f75(a898),f318(f318(f75(a898),f318(f318(f30(a898),x43231),x43232)),f318(f318(f30(a898),x43233),x43232))),f318(f318(f30(a898),f318(f318(f75(a898),f40(a898,x43231,x43232)),f40(a898,x43233,x43232))),x43232)),f318(f318(f30(a898),f318(f318(f75(a898),x43231),x43233)),x43232))
% 182.20/182.06 [4324]E(f318(f318(f75(a1),f318(f318(f75(a1),f318(f318(f30(a1),x43241),x43242)),f318(f318(f30(a1),x43243),x43242))),f318(f318(f30(a1),f318(f318(f75(a1),f40(a1,x43241,x43242)),f40(a1,x43243,x43242))),x43242)),f318(f318(f30(a1),f318(f318(f75(a1),x43241),x43243)),x43242))
% 182.20/182.06 [4377]E(f318(f318(f92(f905(f899(x43771),a894)),f318(f318(f7(f899(x43771),f905(f899(x43771),a894),a894),f320(f899(x43771))),f152(x43771,x43772))),f318(f318(f7(f899(x43771),f905(f899(x43771),a894),a894),f320(f899(x43771))),f152(x43771,x43773))),f151(x43771,f318(f318(f92(f905(x43771,a894)),f318(f318(f7(x43771,f905(x43771,a894),a894),f320(x43771)),x43772)),f318(f318(f7(x43771,f905(x43771,a894),a894),f320(x43771)),x43773))))
% 182.20/182.06 [4389]E(f318(f253(x43891),f318(f318(f18(x43891,a894,a894),f318(f318(f8(a894,f905(a894,a894),x43891),a317),f318(f318(f7(x43891,x43891,a894),a315),x43892))),f318(f318(f7(x43891,f905(x43891,a894),a894),f320(x43891)),x43893))),f318(f318(f300(x43891),x43892),x43893))
% 182.20/182.06 [4409]E(f318(f318(f81(f899(f899(x44091)),f899(f899(x44091))),f49(x44091,x44092)),f318(f318(f18(f899(f899(x44091)),f899(f899(x44091)),f899(f899(x44091))),f318(f318(f8(f899(f899(x44091)),f905(f899(f899(x44091)),f899(f899(x44091))),f899(f899(x44091))),f125(f899(x44091))),f318(f145(f899(x44091),f899(x44091)),f318(f142(x44091),x44093)))),f5(f899(f899(x44091))))),f49(x44091,f318(f318(f142(x44091),x44093),x44092)))
% 182.20/182.06 [4412]E(f318(f253(x44121),f318(f318(f18(x44121,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44121),a316),f318(f318(f7(x44121,f905(x44121,a894),a894),f320(x44121)),x44122))),f318(f318(f7(x44121,f905(x44121,a894),a894),f320(x44121)),x44123))),f318(f318(f92(f905(x44121,a894)),x44122),x44123))
% 182.20/182.06 [4413]E(f318(f253(x44131),f318(f318(f18(x44131,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44131),a317),f318(f318(f7(x44131,f905(x44131,a894),a894),f320(x44131)),x44132))),f318(f318(f7(x44131,f905(x44131,a894),a894),f320(x44131)),x44133))),f318(f318(f101(f905(x44131,a894)),x44132),x44133))
% 182.20/182.06 [4502]E(f318(f318(f34(x45021,f905(f905(x45021,a894),a894)),x45022),f318(f318(f7(x45021,f905(f905(x45021,a894),a894),f905(f905(x45021,a894),a894)),f318(f318(f8(f905(x45021,a894),f905(f905(f905(x45021,a894),a894),f905(f905(x45021,a894),a894)),x45021),f300(f905(x45021,a894))),f318(f318(f8(f905(x45021,a894),f905(x45021,a894),x45021),f276(x45021,x45021,x45023)),f318(f318(f7(x45021,f905(x45021,a894),f905(x45021,a894)),f300(x45021)),f179(f905(x45021,a894)))))),f179(f905(f905(x45021,a894),a894)))),f318(f318(f55(x45021),x45022),x45023))
% 182.20/182.06 [4504]E(f318(f318(f192(x45041),f318(f318(f76(a1),f318(f318(f67(f904(a1,a1),a1,x45041,f242(a1,a1)),f203(x45041)),x45042)),f318(f318(f67(f904(a1,a1),a1,x45041,f242(a1,a1)),f203(x45041)),x45043))),f318(f318(f76(a1),f318(f318(f67(f904(a1,a1),a1,x45041,f247(a1,a1)),f203(x45041)),x45042)),f318(f318(f67(f904(a1,a1),a1,x45041,f247(a1,a1)),f203(x45041)),x45043))),f219(x45041,x45042,x45043))
% 182.20/182.06 [4507]E(f318(f253(f899(x45071)),f318(f318(f18(f899(x45071),a894,a894),f318(f318(f8(a894,f905(a894,a894),f899(x45071)),a316),f318(f318(f7(f899(x45071),a898,a894),f318(f318(f8(a898,f905(a898,a894),f899(x45071)),a315),f180(f899(x45071)))),x45072))),f318(f318(f7(f899(x45071),f905(x45071,a894),a894),f318(f318(f8(f905(x45071,a894),f905(f905(x45071,a894),a894),f899(x45071)),f226(f905(x45071,a894))),f163(x45071))),f318(f163(x45071),x45073)))),f318(f163(f899(x45071)),f50(x45071,x45072,x45073)))
% 182.20/182.06 [3913]E(f40(a898,f318(f318(f75(a898),f318(f318(f76(a898),x39131),x39132)),x39133),x39132),f40(a898,x39133,x39132))
% 182.20/182.06 [3958]E(f130(a898,f318(f293(a898,f318(f318(f75(a898),x39581),x39582)),x39583)),f318(f318(f129(a898),x39582),f130(a898,f318(f293(a898,x39581),x39583))))
% 182.20/182.06 [3997]E(f318(f318(f75(a1),f318(f91(a1),x39971)),f318(f318(f75(a1),f318(f91(a1),x39972)),x39973)),f318(f318(f75(a1),f318(f91(a1),f318(f318(f75(a898),x39971),x39972))),x39973))
% 182.20/182.06 [4004]E(f318(f318(f23(f905(x40041,a894)),f318(f318(f23(f905(x40041,a894)),x40042),x40043)),x40043),f318(f318(f23(f905(x40041,a894)),x40042),x40043))
% 182.20/182.06 [4005]E(f318(f318(f101(f905(x40051,a894)),f318(f318(f23(f905(x40051,a894)),x40052),x40053)),x40053),f318(f318(f101(f905(x40051,a894)),x40052),x40053))
% 182.20/182.06 [4029]E(f318(f318(f280(x40291,x40291,x40292),f298(x40291,f179(f905(f904(x40291,x40291),a894)))),x40293),x40293)
% 182.20/182.06 [4037]E(f318(f318(f101(f905(x40371,a894)),f318(f272(x40371),x40372)),f318(f272(x40371),x40373)),f318(f272(x40371),f318(f318(f101(f905(f904(x40371,x40371),a894)),x40372),x40373)))
% 182.20/182.06 [4048]E(f257(x40481,f318(f318(f142(f904(a90,x40481)),f318(f318(f243(a90,x40481),f2(a90)),x40482)),x40483)),f257(x40481,x40483))
% 182.20/182.06 [4050]E(f318(f318(f92(f905(x40501,a894)),f32(f905(x40501,a894),x40502)),f32(f905(x40501,a894),x40503)),f32(f905(x40501,a894),f318(f318(f101(f905(f905(x40501,a894),a894)),x40502),x40503)))
% 182.20/182.06 [4051]E(f318(f318(f101(f905(x40511,a894)),f31(f905(x40511,a894),x40512)),f31(f905(x40511,a894),x40513)),f31(f905(x40511,a894),f318(f318(f101(f905(f905(x40511,a894),a894)),x40512),x40513)))
% 182.20/182.06 [4089]E(f318(f318(f280(x40891,x40891,x40891),f318(f318(f174(f904(x40891,x40891),a894),x40892),x40893)),x40893),f318(f318(f174(f904(x40891,x40891),a894),f318(a103,x40892)),x40893))
% 182.20/182.06 [4133]P1(f318(f318(f226(f905(x41331,a894)),f318(f318(f23(f905(x41331,a894)),x41332),x41333)),x41332))
% 182.20/182.06 [4134]P1(f318(f318(f226(f905(x41341,a894)),f318(f318(f92(f905(x41341,a894)),x41342),x41343)),x41343))
% 182.20/182.06 [4135]P1(f318(f318(f226(f905(x41351,a894)),f318(f318(f92(f905(x41351,a894)),x41352),x41353)),x41352))
% 182.20/182.06 [4159]E(f298(x41591,f318(f318(f101(f905(f904(x41591,x41591),a894)),f298(x41591,x41592)),f298(x41591,x41593))),f298(x41591,f318(f318(f101(f905(f904(x41591,x41591),a894)),x41592),x41593)))
% 182.20/182.06 [4163]E(f32(f905(x41631,a894),f318(f318(f300(f905(x41631,a894)),x41632),f318(f318(f300(f905(x41631,a894)),x41633),f179(f905(f905(x41631,a894),a894))))),f318(f318(f92(f905(x41631,a894)),x41632),x41633))
% 182.20/182.06 [4164]E(f31(f905(x41641,a894),f318(f318(f300(f905(x41641,a894)),x41642),f318(f318(f300(f905(x41641,a894)),x41643),f179(f905(f905(x41641,a894),a894))))),f318(f318(f101(f905(x41641,a894)),x41642),x41643))
% 182.20/182.06 [4169]E(f318(f318(f280(x41691,x41691,x41691),f318(f318(f174(f904(x41691,x41691),a894),x41692),x41693)),x41693),f318(f318(f280(x41691,x41691,x41691),x41693),f318(f318(f174(f904(x41691,x41691),a894),x41692),x41693)))
% 182.20/182.06 [4238]E(f318(f318(f101(f905(x42381,a894)),f318(f253(x42381),f318(f318(f7(x42381,x42381,a894),a315),x42382))),x42383),f318(f318(f300(x42381),x42382),x42383))
% 182.20/182.06 [4240]E(f318(a95,f318(f318(f6(x42401,a1),f318(f318(f8(a898,a1,x42401),f91(a1)),x42402)),x42403)),f318(f318(f6(x42401,a898),x42402),x42403))
% 182.20/182.06 [4241]E(f318(a95,f318(f318(f9(x42411,a1),f318(f318(f8(a898,a1,x42411),f91(a1)),x42412)),x42413)),f318(f318(f9(x42411,a898),x42412),x42413))
% 182.20/182.06 [4314]E(f318(f147(f899(x43141),x43141,f318(f162(x43141),x43142),f318(f16(f905(f899(x43141),f899(x43141)),x43141),f318(f318(f7(f899(x43141),f899(x43141),f899(x43141)),f125(x43141)),x43142))),x43143),f318(f162(x43141),f318(f318(f125(x43141),x43143),x43142)))
% 182.20/182.06 [4342]P1(f318(f318(f226(f905(f905(x43421,a894),a894)),f318(f318(f101(f905(f905(x43421,a894),a894)),f318(f299(x43421),x43422)),f318(f299(x43421),x43423))),f318(f299(x43421),f318(f318(f101(f905(x43421,a894)),x43422),x43423))))
% 182.20/182.06 [4431]E(f318(f253(x44311),f318(f318(f18(x44311,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44311),a316),f318(f318(f7(x44311,f905(x44311,a894),a894),f320(x44311)),x44312))),f318(f318(f8(a894,a894,x44311),a313),f318(f318(f7(x44311,f905(x44311,a894),a894),f320(x44311)),x44313)))),f318(f318(f23(f905(x44311,a894)),x44312),x44313))
% 182.20/182.06 [4455]E(f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,a898,a894),f227(a898)),f318(f180(f899(x44551)),x44552)))),f318(f318(f8(x44551,a894,a898),x44553),f318(f155(x44551),x44552))))),f318(f180(f899(x44551)),f318(f127(x44551,x44553),x44552)))
% 182.20/182.06 [4457]E(f318(f180(f899(x44571)),f167(x44571,x44572,x44573)),f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,a898,a894),f227(a898)),f318(f180(f899(x44571)),x44572)))),f318(f318(f7(a898,f905(a898,a894),a894),f320(a898)),x44573)))))
% 182.20/182.06 [4553]E(f318(f318(f92(f905(f904(f899(x45531),f899(x45531)),a894)),f318(f301(f904(f904(x45531,f899(x45531)),f904(x45531,f899(x45531))),f904(f899(x45531),f899(x45531)),f249(f904(x45531,f899(x45531)),f899(x45531),f904(x45531,f899(x45531)),f899(x45531),f318(f248(x45531,f899(x45531),f899(x45531)),f142(x45531)),f318(f248(x45531,f899(x45531),f899(x45531)),f142(x45531)))),f310(x45531,f899(x45531),x45532,f318(f134(x45531,x45532),x45533)))),f318(f253(f904(f899(x45531),f899(x45531))),f318(f248(f899(x45531),f899(x45531),a894),f318(f318(f7(f899(x45531),f905(f899(x45531),a894),f905(f899(x45531),a894)),f318(f318(f8(f905(a894,a894),f905(f905(f899(x45531),a894),f905(f899(x45531),a894)),f899(x45531)),f8(a894,a894,f899(x45531))),f318(f318(f8(a894,f905(a894,a894),f899(x45531)),a316),f318(f318(f7(f899(x45531),a898,a894),f318(f318(f8(a898,f905(a898,a894),f899(x45531)),a315),f180(f899(x45531)))),f318(a103,x45533))))),f318(f318(f7(f899(x45531),a898,a894),f318(f318(f8(a898,f905(a898,a894),f899(x45531)),a315),f180(f899(x45531)))),f318(a103,x45533)))))),f318(f134(x45531,x45532),f318(a103,x45533)))
% 182.20/182.06 [4052]E(f40(a898,f318(a103,f318(f318(f75(a898),f318(f318(f76(a898),x40521),x40522)),x40523)),x40522),f40(a898,f318(a103,x40523),x40522))
% 182.20/182.06 [4300]E(f318(f253(x43001),f318(f318(f18(x43001,a894,a894),f318(f318(f8(a894,f905(a894,a894),x43001),a316),x43002)),x43003)),f318(f318(f92(f905(x43001,a894)),f318(f253(x43001),x43002)),f318(f253(x43001),x43003)))
% 182.20/182.06 [4301]E(f318(f253(x43011),f318(f318(f18(x43011,a894,a894),f318(f318(f8(a894,f905(a894,a894),x43011),a317),x43012)),x43013)),f318(f318(f101(f905(x43011,a894)),f318(f253(x43011),x43012)),f318(f253(x43011),x43013)))
% 182.20/182.06 [4303]E(f318(f318(f125(x43031),f318(f318(f129(x43031),f40(a898,x43032,f318(f180(f899(x43031)),x43033))),x43033)),f318(f318(f166(x43031),f40(a898,x43032,f318(f180(f899(x43031)),x43033))),x43033)),f318(f318(f318(f174(f899(x43031),f899(x43031)),x43032),f158(x43031)),x43033))
% 182.20/182.06 [4309]E(f318(f253(x43091),f318(f318(f18(x43091,a894,a894),f318(f318(f8(a894,f905(a894,a894),x43091),a321),x43092)),x43093)),f318(f318(f101(f905(x43091,a894)),f318(f74(f905(x43091,a894)),f318(f253(x43091),x43092))),f318(f253(x43091),x43093)))
% 182.20/182.06 [4325]E(f318(f318(f75(a898),f318(f180(f899(x43251)),f318(f127(x43251,x43252),x43253))),f318(f180(f899(x43251)),f318(f127(x43251,f318(f318(f8(a894,a894,x43251),a313),x43252)),x43253))),f318(f180(f899(x43251)),x43253))
% 182.20/182.06 [4348]P1(f318(f318(f226(f905(x43481,a894)),f318(f318(f101(f905(x43481,a894)),f32(f905(x43481,a894),x43482)),f32(f905(x43481,a894),x43483))),f32(f905(x43481,a894),f318(f318(f92(f905(f905(x43481,a894),a894)),x43482),x43483))))
% 182.20/182.06 [4362]E(f318(f163(x43621),f318(f127(x43621,f318(f318(f8(a894,a894,x43621),a313),f318(f318(f7(x43621,x43621,a894),a315),x43622))),x43623)),f318(f318(f23(f905(x43621,a894)),f318(f163(x43621),x43623)),f318(f318(f300(x43621),x43622),f179(f905(x43621,a894)))))
% 182.20/182.06 [4371]P1(f318(f318(f226(f905(f904(x43711,x43711),a894)),f318(f318(f101(f905(f904(x43711,x43711),a894)),f298(x43711,x43712)),f298(x43711,x43713))),f298(x43711,f318(f318(f101(f905(f904(x43711,x43711),a894)),x43712),x43713))))
% 182.20/182.06 [4394]E(f318(f318(f76(a898),f318(a103,f318(a103,f2(a898)))),f318(f318(f6(a898,a898),f318(f318(f8(a898,a898,a898),f318(f75(a898),x43941)),f318(f318(f7(a898,a898,a898),f76(a898)),x43942))),f318(f273(a898),x43943))),f318(f318(f76(a898),x43943),f318(f318(f75(a898),x43941),f318(f318(f75(a898),x43941),f318(f318(f76(a898),f318(f318(f23(a898),x43943),f73(a898))),x43942)))))
% 182.20/182.06 [4404]E(f318(f253(x44041),f318(f318(f18(x44041,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44041),a316),f318(f318(f7(x44041,f905(x44041,a894),a894),f320(x44041)),f318(f163(x44041),x44042)))),x44043)),f318(f163(x44041),f318(f127(x44041,x44043),x44042)))
% 182.20/182.06 [4552]E(f318(f253(x45521),f318(f318(f8(f905(a898,a894),a894,x45521),f82(a898)),f318(f318(f7(x45521,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),x45521),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),x45521),f318(f8(a894,f905(a894,a894),a898),a316)),f318(f318(f7(x45521,f905(a898,x45521),f905(a898,a894)),f318(f318(f8(f905(x45521,a894),f905(f905(a898,x45521),f905(a898,a894)),x45521),f8(x45521,a894,a898)),a315)),f318(f155(x45521),x45522))))),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,a898,a894),f227(a898)),f318(f180(f899(x45521)),x45522)))),f318(f318(f7(a898,f905(a898,a894),a894),f320(a898)),x45523))))),f318(f163(x45521),f167(x45521,x45522,x45523)))
% 182.20/182.06 [4444]E(f318(f253(x44441),f318(f318(f18(x44441,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44441),a321),f318(f318(f8(a894,a894,x44441),a313),f318(f318(f7(x44441,x44441,a894),a315),x44442)))),x44443)),f318(f318(f300(x44441),x44442),f318(f253(x44441),x44443)))
% 182.20/182.06 [4476]E(f318(f318(f145(f904(x44761,a898),x44761),f242(x44761,a898)),f318(f127(f904(x44761,a898),f318(f318(f7(f904(x44761,a898),f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),f904(x44761,a898)),f320(a898)),f247(x44761,a898))),x44762)),f318(f318(f172(x44761,a898),x44763),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(x44761)),x44763)))))),f167(x44761,x44763,x44762))
% 182.20/182.06 [4503]E(f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f6(a898,a1),f318(f318(f8(a1,a1,a898),f318(f75(a1),x45031)),f318(f318(f7(a898,a1,a1),f318(f318(f8(a1,f905(a1,a1),a898),f76(a1)),f91(a1))),x45032))),f318(f273(a898),x45033))),f318(f318(f76(a1),f318(f91(a1),x45033)),f318(f318(f75(a1),x45031),f318(f318(f75(a1),x45031),f318(f318(f76(a1),f318(f91(a1),f318(f318(f23(a898),x45033),f73(a898)))),x45032)))))
% 182.20/182.06 [4545]E(f318(f253(f904(x45451,x45452)),f318(f248(x45451,x45452,a894),f318(f318(f7(x45451,f905(f904(x45452,x45451),a894),f905(x45452,a894)),f318(f318(f8(f905(x45452,f905(f905(f904(x45452,x45451),a894),a894)),f905(f905(f904(x45452,x45451),a894),f905(x45452,a894)),x45451),f7(x45452,f905(f904(x45452,x45451),a894),a894)),f318(f318(f8(f905(x45452,f904(x45452,x45451)),f905(x45452,f905(f905(f904(x45452,x45451),a894),a894)),x45451),f318(f8(f904(x45452,x45451),f905(f905(f904(x45452,x45451),a894),a894),x45452),f320(f904(x45452,x45451)))),f318(f7(x45452,x45451,f904(x45452,x45451)),f243(x45452,x45451))))),x45453))),f318(f277(x45452,x45451),x45453))
% 182.20/182.06 [4565]E(f318(f253(f899(x45651)),f318(f318(f8(f905(x45651,a894),a894,f899(x45651)),f82(x45651)),f318(f318(f8(f905(x45651,f905(f899(x45651),a894)),f905(x45651,a894),f899(x45651)),f318(f8(f905(f899(x45651),a894),a894,x45651),f82(f899(x45651)))),f318(f318(f7(f899(x45651),f905(x45651,f905(f899(x45651),a894)),f905(x45651,f905(f899(x45651),a894))),f318(f318(f8(f905(x45651,f905(f905(f899(x45651),a894),f905(f899(x45651),a894))),f905(f905(x45651,f905(f899(x45651),a894)),f905(x45651,f905(f899(x45651),a894))),f899(x45651)),f18(x45651,f905(f899(x45651),a894),f905(f899(x45651),a894))),f318(f318(f8(f905(x45651,f905(f899(x45651),f905(a894,a894))),f905(x45651,f905(f905(f899(x45651),a894),f905(f899(x45651),a894))),f899(x45651)),f318(f8(f905(f899(x45651),f905(a894,a894)),f905(f905(f899(x45651),a894),f905(f899(x45651),a894)),x45651),f18(f899(x45651),a894,a894))),f318(f318(f8(f905(x45651,f905(f899(x45651),a894)),f905(x45651,f905(f899(x45651),f905(a894,a894))),f899(x45651)),f318(f8(f905(f899(x45651),a894),f905(f899(x45651),f905(a894,a894)),x45651),f318(f8(a894,f905(a894,a894),f899(x45651)),a316))),f318(f318(f7(f899(x45651),f905(x45651,f905(f899(x45651),f899(x45651))),f905(x45651,f905(f899(x45651),a894))),f318(f318(f8(f905(f905(f899(x45651),f899(x45651)),f905(f899(x45651),a894)),f905(f905(x45651,f905(f899(x45651),f899(x45651))),f905(x45651,f905(f899(x45651),a894))),f899(x45651)),f8(f905(f899(x45651),f899(x45651)),f905(f899(x45651),a894),x45651)),f318(f318(f8(f905(f899(x45651),a894),f905(f905(f899(x45651),f899(x45651)),f905(f899(x45651),a894)),f899(x45651)),f8(f899(x45651),a894,f899(x45651))),a315))),f142(x45651)))))),f318(f318(f7(x45651,f905(f899(x45651),a894),f905(f899(x45651),a894)),f318(f318(f8(f905(a894,a894),f905(f905(f899(x45651),a894),f905(f899(x45651),a894)),x45651),f8(a894,a894,f899(x45651))),f318(f318(f8(a894,f905(a894,a894),x45651),a316),f318(f318(f7(x45651,f905(x45651,a894),a894),f320(x45651)),x45652)))),f318(f318(f7(f899(x45651),f905(f899(x45651),a894),a894),f320(f899(x45651))),x45653)))))),f165(x45651,x45652,x45653))
% 182.20/182.06 [4562]E(f318(f318(f81(a1,f904(a1,a1)),f318(f318(f23(a1),x45621),x45622)),f318(f318(f7(a1,f904(a1,a1),f904(a1,a1)),f318(f318(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f318(f318(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f87(f904(a1,a1))),f318(f226(a1),f2(a1)))),f318(f243(a1,a1),f318(f318(f75(a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x45623)),f73(a1))))),f318(f318(f243(a1,a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x45623)),x45621))),f318(f38(x45622),f318(f318(f243(a1,a1),x45623),x45621)))
% 182.20/182.06 [3615]E(f107(x36151,f318(x36152,x36153),f318(x36154,x36153)),f318(f194(x36151,x36152,x36154),x36153))
% 182.20/182.06 [3668]E(f318(f318(f236(x36681,x36682,x36683),x36684),f2(a898)),x36682)
% 182.20/182.06 [3706]E(f176(x37061,x37062,x37063,f318(a103,x37064)),f318(x37063,x37064))
% 182.20/182.06 [3747]E(f161(x37471,x37472,f161(x37471,x37473,x37474)),f161(x37471,x37473,f161(x37471,x37472,x37474)))
% 182.20/182.06 [3748]E(f117(x37481,x37482,f107(x37481,x37483,x37484)),f107(x37481,f117(x37481,x37482,x37483),x37484))
% 182.20/182.06 [3881]E(f318(f147(x38811,x38812,x38813,x38814),f104(x38812)),x38813)
% 182.20/182.06 [3882]E(f318(f133(x38821,x38822,x38823,x38824),f104(x38822)),x38824)
% 182.20/182.06 [3919]E(f318(f180(f902(x39191,x39192)),f211(x39191,x39192,x39193,x39194)),f2(a898))
% 182.20/182.06 [3942]E(f318(f248(x39421,x39422,x39423),f246(x39421,x39422,x39423,x39424)),x39424)
% 182.20/182.06 [3985]E(f318(f318(f125(x39851),f160(x39851,x39852,x39853)),f160(x39851,x39854,x39853)),f318(f318(f125(x39851),f160(x39851,x39854,x39853)),f160(x39851,x39852,x39853)))
% 182.20/182.06 [4072]E(f318(f318(f250(x40721,x40722,x40723,f904(x40722,x40723)),x40724),f243(x40722,x40723)),x40724)
% 182.20/182.06 [4082]E(f118(x40821,x40822,x40823,x40824,f110(x40822)),x40823)
% 182.20/182.06 [4088]E(f69(x40881,x40882,x40883,x40884,f318(x40883,x40884)),x40883)
% 182.20/182.06 [4355]P41(x43551,x43552,x43553,x43554,f179(f905(x43551,a894)),x43554)
% 182.20/182.06 [3422]E(f318(f318(f16(x34221,x34222),x34223),x34224),x34223)
% 182.20/182.06 [3696]E(f161(x36961,x36962,f318(f127(x36961,x36963),x36964)),f318(f127(x36961,x36963),f161(x36961,x36962,x36964)))
% 182.20/182.06 [3730]E(f318(f318(f58(x37301,x37302,x37303),x37304),f179(f905(x37301,a894))),x37304)
% 182.20/182.06 [3754]E(f318(f318(f155(x37541),f318(f318(f142(x37541),x37542),x37543)),f318(a103,x37544)),f318(f318(f155(x37541),x37543),x37544))
% 182.20/182.06 [3821]E(f318(f318(x38211,x38212),f318(f175(x38213,x38214,x38211),x38212)),f318(f175(x38213,x38214,x38211),f318(a103,x38212)))
% 182.20/182.06 [3862]E(f246(x38621,x38622,x38623,f318(f248(x38621,x38622,x38623),x38624)),x38624)
% 182.20/182.06 [3917]E(f318(f318(f150(x39171,f318(f318(f142(x39171),x39172),x39173)),f2(a898)),x39174),f318(f318(f142(x39171),x39174),x39173))
% 182.20/182.06 [3927]E(f318(f318(f34(f905(x39271,a894),f905(x39272,a894)),x39273),f301(x39271,x39272,x39274)),f318(f301(x39271,x39272,x39274),f31(f905(x39271,a894),x39273)))
% 182.20/182.06 [3928]E(f318(f318(f34(f905(x39281,a894),f905(x39282,a894)),x39283),f302(x39282,x39281,x39284)),f318(f302(x39282,x39281,x39284),f31(f905(x39281,a894),x39283)))
% 182.20/182.06 [3953]E(f111(x39531,f121(x39532,f900(x39531),x39533,x39534)),f318(f109(x39532,x39531,x39534),x39533))
% 182.20/182.06 [4025]E(f318(f116(x40251,x40252),f117(x40251,x40253,x40254)),f318(f318(f75(a898),f318(f318(f75(a898),f318(x40252,x40253)),f318(f116(x40251,x40252),x40254))),f318(a103,f2(a898))))
% 182.20/182.06 [4047]E(f318(f133(x40471,x40472,f318(f7(x40472,x40471,x40471),x40473),x40474),f318(f159(x40472),f104(x40472))),x40474)
% 182.20/182.06 [4092]E(f71(x40921,x40922,x40923,x40924,f179(f905(x40921,a894))),x40923)
% 182.20/182.06 [4153]E(f214(x41531,f904(x41532,f900(x41532)),x41533,f318(f248(x41532,f900(x41532),x41531),x41534),f318(f126(x41532),f110(x41532))),x41533)
% 182.20/182.06 [4285]E(f318(f248(x42851,x42852,x42853),f318(f318(f8(f905(x42852,f904(x42851,x42852)),f905(x42852,x42853),x42851),f318(f8(f904(x42851,x42852),x42853,x42852),x42854)),f243(x42851,x42852))),x42854)
% 182.20/182.06 [3606]E(f318(f247(x36061,x36062),f318(f318(f243(x36061,x36062),x36063),x36064)),x36064)
% 182.20/182.06 [3607]E(f318(f242(x36071,x36072),f318(f318(f243(x36071,x36072),x36073),x36074)),x36073)
% 182.20/182.06 [3640]E(f318(f180(f899(x36401)),f318(f318(f150(x36401,x36402),x36403),x36404)),f318(f180(f899(x36401)),x36402))
% 182.20/182.06 [3641]E(f318(f180(f899(x36411)),f318(f318(f145(x36412,x36411),x36413),x36414)),f318(f180(f899(x36412)),x36414))
% 182.20/182.06 [3662]E(f318(f318(f129(x36621),f318(a103,x36622)),f318(f318(f142(x36621),x36623),x36624)),f318(f318(f129(x36621),x36622),x36624))
% 182.20/182.06 [3725]E(f318(f318(f166(x37251),x37252),f160(x37251,x37253,x37254)),f160(x37251,f318(f318(f224(a898),x37252),x37253),x37254))
% 182.20/182.06 [3726]E(f318(f318(f129(x37261),x37262),f160(x37261,x37263,x37264)),f160(x37261,f318(f318(f23(a898),x37263),x37262),x37264))
% 182.20/182.06 [3732]E(f318(f318(f300(x37321),x37322),f318(f318(f300(x37321),x37323),x37324)),f318(f318(f300(x37321),x37323),f318(f318(f300(x37321),x37322),x37324)))
% 182.20/182.06 [3736]E(f318(f318(f145(x37361,x37362),x37363),f105(x37361,x37364)),f105(x37362,f318(f318(f145(x37361,x37362),x37363),x37364)))
% 182.20/182.06 [3752]E(f318(f159(x37521),f318(f318(f145(x37522,x37521),x37523),x37524)),f318(f318(f145(x37522,x37521),x37523),f318(f159(x37522),x37524)))
% 182.20/182.06 [3753]E(f318(f318(f145(x37531,x37532),x37533),f318(f162(x37531),x37534)),f318(f162(x37532),f318(f318(f145(x37531,x37532),x37533),x37534)))
% 182.20/182.06 [3768]E(f318(f318(f166(x37681),f318(a103,x37682)),f318(f318(f142(x37681),x37683),x37684)),f318(f318(f142(x37681),x37683),f318(f318(f166(x37681),x37682),x37684)))
% 182.20/182.06 [3771]E(f318(f163(x37711),f318(f318(f145(x37712,x37711),x37713),x37714)),f318(f301(x37712,x37711,x37713),f318(f163(x37712),x37714)))
% 182.20/182.06 [3784]E(f318(f318(f145(x37841,x37842),f318(f16(x37842,x37841),x37843)),x37844),f160(x37842,f318(f180(f899(x37841)),x37844),x37843))
% 182.20/182.06 [3820]E(f17(x38201,x38202,x38203,f318(a3,f318(a103,f318(a20,x38204)))),f318(x38203,x38204))
% 182.20/182.06 [3824]E(f318(f318(f125(x38241),f318(f127(x38241,x38242),x38243)),f318(f127(x38241,x38242),x38244)),f318(f127(x38241,x38242),f318(f318(f125(x38241),x38243),x38244)))
% 182.20/182.06 [3836]E(f143(x38361,f318(f318(f145(x38362,x38361),x38363),f143(x38362,x38364))),f143(x38361,f318(f318(f145(x38362,x38361),x38363),x38364)))
% 182.20/182.06 [3851]E(f318(f277(x38511,x38511),f318(f318(f279(x38512,x38511),x38513),x38514)),f318(f318(f279(x38512,x38511),f318(f277(x38512,x38512),x38513)),x38514))
% 182.20/182.06 [3863]E(f318(f318(f280(x38631,x38632,x38633),x38634),f179(f905(f904(x38632,x38633),a894))),f179(f905(f904(x38631,x38633),a894)))
% 182.20/182.06 [3864]E(f318(f318(f166(x38641),f318(f318(f23(a898),x38642),x38643)),f318(f318(f129(x38641),x38643),x38644)),f318(f318(f129(x38641),x38643),f318(f318(f166(x38641),x38642),x38644)))
% 182.20/182.06 [3883]E(f318(f318(f125(x38831),f160(x38831,x38832,x38833)),f160(x38831,x38834,x38833)),f160(x38831,f318(f318(f75(a898),x38832),x38834),x38833))
% 182.20/182.06 [3884]E(f318(f318(f318(f269(x38841),x38842),x38843),x38844),f318(f243(f905(a90,f905(a894,f901(f900(x38841)))),f904(a90,a90)),f318(f37(x38841),x38842)))
% 182.20/182.06 [3910]E(f32(f905(x39101,a894),f318(f301(x39102,f905(x39101,a894),x39103),x39104)),f318(f318(f35(x39102,f905(x39101,a894)),x39104),x39103))
% 182.20/182.06 [3911]E(f31(f905(x39111,a894),f318(f301(x39112,f905(x39111,a894),x39113),x39114)),f318(f318(f34(x39112,f905(x39111,a894)),x39114),x39113))
% 182.20/182.06 [3912]E(f318(f180(f899(f904(x39121,x39122))),f318(f318(f172(x39121,x39122),x39123),x39124)),f318(f318(f224(a898),f318(f180(f899(x39121)),x39123)),f318(f180(f899(x39122)),x39124)))
% 182.20/182.06 [3914]E(f318(f302(x39141,x39142,x39143),f318(f74(f905(x39142,a894)),x39144)),f318(f74(f905(x39141,a894)),f318(f302(x39141,x39142,x39143),x39144)))
% 182.20/182.06 [3963]E(f318(f302(x39631,x39632,x39633),f318(f253(x39632),x39634)),f318(f253(x39631),f318(f318(f8(x39632,a894,x39631),x39634),x39633)))
% 182.20/182.06 [3980]E(f318(f318(f155(x39801),f318(f318(f125(x39801),x39802),f318(f318(f142(x39801),x39803),x39804))),f318(f180(f899(x39801)),x39802)),x39803)
% 182.20/182.06 [4002]E(f318(f301(x40021,x40022,x40023),f318(f302(x40021,x40022,x40023),x40024)),f318(f318(f92(f905(x40022,a894)),x40024),f318(f301(x40021,x40022,x40023),f233(f905(x40021,a894)))))
% 182.20/182.06 [4021]P1(f318(f318(f320(x40211),f318(x40212,x40213)),f318(f301(x40214,x40211,x40212),f233(f905(x40214,a894)))))
% 182.20/182.06 [4030]E(f19(x40301,x40302,x40303,f318(a3,f318(a103,f318(a20,x40304)))),f318(f318(x40303,x40304),f19(x40301,x40302,x40303,x40304)))
% 182.20/182.06 [4034]E(f318(f318(f125(x40341),f160(x40341,x40342,x40343)),f318(f318(f142(x40341),x40343),x40344)),f318(f318(f142(x40341),x40343),f318(f318(f125(x40341),f160(x40341,x40342,x40343)),x40344)))
% 182.20/182.06 [4036]E(f318(f318(f245(x40361,x40362),f318(f163(x40361),x40363)),f318(f16(f905(x40362,a894),x40361),f318(f163(x40362),x40364))),f318(f163(f904(x40361,x40362)),f54(x40361,x40362,x40363,x40364)))
% 182.20/182.06 [4049]E(f146(x40491,x40492,f318(f318(f142(x40491),x40493),x40494)),f318(f318(f75(a898),f318(f318(f75(a898),f318(x40492,x40493)),f146(x40491,x40492,x40494))),f318(a103,f2(a898))))
% 182.20/182.06 [4063]E(f176(f899(x40631),f318(f318(f142(x40631),x40632),x40633),f318(f318(f7(a898,f899(x40631),f899(x40631)),f129(x40631)),x40633),x40634),f318(f318(f129(x40631),x40634),f318(f318(f142(x40631),x40632),x40633)))
% 182.20/182.06 [4064]P24(x40641,f904(x40642,x40641),f322(x40643,x40644,x40642,x40641),f318(f318(f34(x40642,f905(x40641,a894)),x40644),x40643))
% 182.20/182.06 [4073]E(f318(f318(f23(f905(x40731,a894)),f318(f318(f23(f905(x40731,a894)),x40732),x40733)),f318(f318(f300(x40731),x40734),f179(f905(x40731,a894)))),f318(f318(f23(f905(x40731,a894)),x40732),f318(f318(f300(x40731),x40734),x40733)))
% 182.20/182.06 [4086]E(f318(f318(f174(f905(x40861,x40862),f905(x40861,x40862)),x40863),f67(x40862,x40862,x40861,x40864)),f67(x40862,x40862,x40861,f318(f318(f174(x40862,x40862),x40863),x40864)))
% 182.20/182.06 [4158]E(f318(f318(f318(f174(f899(x41581),f899(x41581)),x41582),f158(x41581)),f318(f318(f318(f174(f899(x41581),f899(x41581)),x41583),f158(x41581)),x41584)),f318(f318(f318(f174(f899(x41581),f899(x41581)),f318(f318(f75(a898),x41582),x41583)),f158(x41581)),x41584))
% 182.20/182.06 [4243]P1(f318(f318(f226(f905(x42431,a894)),f318(f163(x42431),f318(f318(f150(x42431,x42432),x42433),x42434))),f318(f318(f300(x42431),x42434),f318(f163(x42431),x42432))))
% 182.20/182.06 [4275]E(f318(f318(f34(f905(x42751,a894),f905(f904(x42751,x42752),a894)),x42753),f318(f318(f7(f905(x42751,a894),f905(x42751,f905(x42752,a894)),f905(f904(x42751,x42752),a894)),f245(x42751,x42752)),x42754)),f318(f318(f245(x42751,x42752),f31(f905(x42751,a894),x42753)),x42754))
% 182.20/182.06 [4313]E(f200(x43131,x43132,x43133,f318(f67(x43132,f905(a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(x43132))))),x43131,f199(x43132)),x43134)),f201(x43131,x43132,x43134,x43133))
% 182.20/182.06 [4328]E(f196(x43281,x43282,x43283,f318(f67(x43282,f905(a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(f901(x43282)))))),x43281,f195(x43282)),x43284)),f197(x43281,x43282,x43284,x43283))
% 182.20/182.06 [4333]P1(f318(f60(x43331,x43332,x43333,x43334,f179(f905(x43331,a894))),x43334))
% 182.20/182.06 [4372]E(f318(f318(f34(x43721,f905(x43722,a894)),x43723),f318(f318(f7(x43721,f905(x43722,a894),f905(x43722,a894)),f318(f318(f8(x43722,f905(f905(x43722,a894),f905(x43722,a894)),x43721),f300(x43722)),x43724)),f179(f905(x43722,a894)))),f318(f301(x43721,x43722,x43724),x43723))
% 182.20/182.06 [4379]P1(f318(f318(f226(f905(x43791,a894)),f318(f275(x43792,x43791),f318(f318(f92(f905(f904(x43792,x43791),a894)),x43793),x43794))),f318(f318(f92(f905(x43791,a894)),f318(f275(x43792,x43791),x43793)),f318(f275(x43792,x43791),x43794))))
% 182.20/182.06 [4380]P1(f318(f318(f226(f905(x43801,a894)),f318(f255(x43801,x43802),f318(f318(f92(f905(f904(x43801,x43802),a894)),x43803),x43804))),f318(f318(f92(f905(x43801,a894)),f318(f255(x43801,x43802),x43803)),f318(f255(x43801,x43802),x43804))))
% 182.20/182.06 [4440]P1(f318(f318(f226(f905(f904(x44401,x44402),a894)),f318(f301(x44402,f904(x44401,x44402),f322(x44403,x44404,x44401,x44402)),f318(f318(f34(x44401,f905(x44402,a894)),x44404),x44403))),f318(f318(f245(x44401,x44402),x44404),x44403)))
% 182.20/182.06 [4441]E(f318(f109(x44411,f904(x44411,x44412),x44413),f318(f318(f8(f905(x44412,f900(f904(x44411,x44412))),f900(f904(x44411,x44412)),x44411),f109(x44412,f904(x44411,x44412),x44414)),f318(f318(f8(f905(x44412,f904(x44411,x44412)),f905(x44412,f900(f904(x44411,x44412))),x44411),f318(f8(f904(x44411,x44412),f900(f904(x44411,x44412)),x44412),f120(f904(x44411,x44412)))),f243(x44411,x44412)))),f122(x44411,x44412,x44413,x44414))
% 182.20/182.06 [4442]E(f267(x44421,x44422,x44423,f318(f67(x44422,f905(a90,f905(a90,f905(f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x44422)))),f904(a90,a90))))),x44421,f269(x44422)),x44424)),f270(x44421,x44422,x44424,x44423))
% 182.20/182.06 [4482]E(f80(f904(x44821,x44822),f318(f248(x44821,x44822,a894),f318(f318(f7(x44821,f905(x44822,a894),f905(x44822,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x44822,a894),f905(x44822,a894)),x44821),f8(a894,a894,x44822)),f318(f318(f8(a894,f905(a894,a894),x44821),a316),f318(a315,x44823)))),f318(a315,x44824)))),f318(f318(f243(x44821,x44822),x44823),x44824))
% 182.20/182.06 [4483]E(f85(f904(x44831,x44832),f318(f248(x44831,x44832,a894),f318(f318(f7(x44831,f905(x44832,a894),f905(x44832,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x44832,a894),f905(x44832,a894)),x44831),f8(a894,a894,x44832)),f318(f318(f8(a894,f905(a894,a894),x44831),a316),f318(a315,x44833)))),f318(a315,x44834)))),f318(f318(f243(x44831,x44832),x44833),x44834))
% 182.20/182.06 [4554]E(f318(f318(f248(f899(x45541),f899(x45541),f904(f899(x45541),f899(x45541))),f318(f318(f18(f899(x45541),f905(f899(x45541),f904(f899(x45541),f899(x45541))),f905(f899(x45541),f904(f899(x45541),f899(x45541)))),f318(f318(f8(f905(f899(x45541),f905(f904(f899(x45541),f899(x45541)),f904(f899(x45541),f899(x45541)))),f905(f905(f899(x45541),f904(f899(x45541),f899(x45541))),f905(f899(x45541),f904(f899(x45541),f899(x45541)))),f899(x45541)),f18(f899(x45541),f904(f899(x45541),f899(x45541)),f904(f899(x45541),f899(x45541)))),f318(f318(f8(f905(f899(x45541),f904(f899(x45541),f899(x45541))),f905(f899(x45541),f905(f904(f899(x45541),f899(x45541)),f904(f899(x45541),f899(x45541)))),f899(x45541)),f318(f8(f904(f899(x45541),f899(x45541)),f905(f904(f899(x45541),f899(x45541)),f904(f899(x45541),f899(x45541))),f899(x45541)),f318(f87(f904(f899(x45541),f899(x45541))),f318(x45542,x45543)))),f318(f318(f8(f899(x45541),f905(f899(x45541),f904(f899(x45541),f899(x45541))),f899(x45541)),f243(f899(x45541),f899(x45541))),f318(f142(x45541),x45543))))),f318(f318(f7(f899(x45541),f905(f899(x45541),f899(x45541)),f905(f899(x45541),f904(f899(x45541),f899(x45541)))),f318(f318(f8(f905(f899(x45541),f904(f899(x45541),f899(x45541))),f905(f905(f899(x45541),f899(x45541)),f905(f899(x45541),f904(f899(x45541),f899(x45541)))),f899(x45541)),f8(f899(x45541),f904(f899(x45541),f899(x45541)),f899(x45541))),f243(f899(x45541),f899(x45541)))),f318(f142(x45541),x45543)))),f157(x45541,x45542,x45544)),f157(x45541,x45542,f318(f318(f142(x45541),x45543),x45544)))
% 182.20/182.06 [3800]E(f318(f318(f166(x38001),x38002),f318(f318(f166(x38001),x38003),x38004)),f318(f318(f166(x38001),f318(f318(f224(a898),x38002),x38003)),x38004))
% 182.20/182.06 [3801]E(f318(f318(f129(x38011),x38012),f318(f318(f129(x38011),x38013),x38014)),f318(f318(f129(x38011),f318(f318(f75(a898),x38012),x38013)),x38014))
% 182.20/182.06 [3812]E(f318(f318(f125(x38121),f318(f318(f142(x38121),x38122),x38123)),x38124),f318(f318(f142(x38121),x38122),f318(f318(f125(x38121),x38123),x38124)))
% 182.20/182.06 [3813]E(f318(f318(f125(x38131),f318(f318(f125(x38131),x38132),x38133)),x38134),f318(f318(f125(x38131),x38132),f318(f318(f125(x38131),x38133),x38134)))
% 182.20/182.06 [3894]E(f318(f318(f155(x38941),f318(f318(f142(x38941),x38942),x38943)),x38944),f176(x38941,x38942,f318(f155(x38941),x38943),x38944))
% 182.20/182.06 [3903]E(f318(f318(f174(x39031,x39031),x39032),f318(f318(f174(x39031,x39031),x39033),x39034)),f318(f318(f174(x39031,x39031),f318(f318(f76(a898),x39033),x39032)),x39034))
% 182.20/182.06 [3930]E(f318(f318(f101(f905(x39301,a894)),x39302),f318(f318(f300(x39301),x39303),x39304)),f318(f318(f300(x39301),x39303),f318(f318(f101(f905(x39301,a894)),x39302),x39304)))
% 182.20/182.06 [3945]E(f318(f318(f318(f174(x39451,x39451),x39452),x39453),f318(x39453,x39454)),f318(x39453,f318(f318(f318(f174(x39451,x39451),x39452),x39453),x39454)))
% 182.20/182.06 [3954]E(f318(f318(f280(x39541,x39542,x39543),f179(f905(f904(x39541,x39542),a894))),x39544),f179(f905(f904(x39541,x39543),a894)))
% 182.20/182.06 [3968]E(f318(f318(f101(f905(x39681,a894)),f318(f318(f300(x39681),x39682),x39683)),x39684),f318(f318(f300(x39681),x39682),f318(f318(f101(f905(x39681,a894)),x39683),x39684)))
% 182.20/182.06 [3987]E(f318(f29(f904(x39871,x39872)),f318(f318(f245(x39871,x39872),x39873),f318(f16(f905(x39872,a894),x39871),x39874))),f318(f318(f76(a898),f318(f29(x39871),x39873)),f318(f29(x39872),x39874)))
% 182.20/182.06 [3993]E(f318(f318(f92(f905(x39931,a894)),f318(f318(f300(x39931),x39932),x39933)),f318(f318(f300(x39931),x39932),x39934)),f318(f318(f300(x39931),x39932),f318(f318(f92(f905(x39931,a894)),x39933),x39934)))
% 182.20/182.06 [4006]E(f318(f318(f92(f905(x40061,a894)),x40062),f318(f318(f92(f905(x40061,a894)),x40063),x40064)),f318(f318(f92(f905(x40061,a894)),x40063),f318(f318(f92(f905(x40061,a894)),x40062),x40064)))
% 182.20/182.06 [4007]E(f318(f318(f101(f905(x40071,a894)),x40072),f318(f318(f101(f905(x40071,a894)),x40073),x40074)),f318(f318(f101(f905(x40071,a894)),x40073),f318(f318(f101(f905(x40071,a894)),x40072),x40074)))
% 182.20/182.06 [4017]E(f58(x40171,x40172,f318(f318(f8(x40172,f905(x40172,x40172),x40171),x40173),x40174)),f318(f59(x40172,x40171,x40173),x40174))
% 182.20/182.06 [4026]E(f170(x40261,f318(f318(f145(f899(x40262),f899(x40261)),f318(f145(x40262,x40261),x40263)),x40264)),f318(f318(f145(f899(x40262),f899(x40261)),f318(f145(x40262,x40261),x40263)),f170(x40262,x40264)))
% 182.20/182.06 [4046]E(f318(f133(f899(x40461),f899(x40461),f125(x40461),f104(x40461)),f318(f318(f145(x40462,f899(x40461)),x40463),x40464)),f154(x40462,x40461,x40463,x40464))
% 182.20/182.06 [4105]E(f318(f67(x41051,x41051,x41051,f318(f318(f174(x41051,x41051),x41052),x41053)),f318(f318(f174(x41051,x41051),x41054),x41053)),f318(f318(f174(x41051,x41051),f318(f318(f75(a898),x41052),x41054)),x41053))
% 182.20/182.06 [4128]E(f318(f318(f101(f905(x41281,a894)),f318(f318(f23(f905(x41281,a894)),x41282),x41283)),f318(f318(f23(f905(x41281,a894)),x41282),x41284)),f318(f318(f23(f905(x41281,a894)),x41282),f318(f318(f92(f905(x41281,a894)),x41283),x41284)))
% 182.20/182.06 [4129]E(f318(f318(f92(f905(x41291,a894)),f318(f318(f23(f905(x41291,a894)),x41292),x41293)),f318(f318(f23(f905(x41291,a894)),x41292),x41294)),f318(f318(f23(f905(x41291,a894)),x41292),f318(f318(f101(f905(x41291,a894)),x41293),x41294)))
% 182.20/182.06 [4130]E(f318(f318(f23(f905(x41301,a894)),f318(f318(f92(f905(x41301,a894)),x41302),x41303)),f318(f318(f92(f905(x41301,a894)),x41302),x41304)),f318(f318(f92(f905(x41301,a894)),x41302),f318(f318(f23(f905(x41301,a894)),x41303),x41304)))
% 182.20/182.06 [4131]E(f318(f318(f101(f905(x41311,a894)),f318(f318(f92(f905(x41311,a894)),x41312),x41313)),f318(f318(f92(f905(x41311,a894)),x41312),x41314)),f318(f318(f92(f905(x41311,a894)),x41312),f318(f318(f101(f905(x41311,a894)),x41313),x41314)))
% 182.20/182.06 [4132]E(f318(f318(f92(f905(x41321,a894)),f318(f318(f101(f905(x41321,a894)),x41322),x41323)),f318(f318(f101(f905(x41321,a894)),x41322),x41324)),f318(f318(f101(f905(x41321,a894)),x41322),f318(f318(f92(f905(x41321,a894)),x41323),x41324)))
% 182.20/182.06 [4137]E(f318(f29(f904(x41371,x41372)),f318(f318(f245(x41371,x41372),f318(f318(f300(x41371),x41373),f179(f905(x41371,a894)))),f318(f16(f905(x41372,a894),x41371),x41374))),f318(f29(x41372),x41374))
% 182.20/182.06 [4172]E(f318(f318(f35(x41721,f905(x41722,a894)),x41723),f318(f318(f8(f905(x41722,a894),f905(x41722,a894),x41721),f74(f905(x41722,a894))),x41724)),f318(f74(f905(x41722,a894)),f318(f318(f34(x41721,f905(x41722,a894)),x41723),x41724)))
% 182.20/182.06 [4173]E(f318(f318(f34(x41731,f905(x41732,a894)),x41733),f318(f318(f8(f905(x41732,a894),f905(x41732,a894),x41731),f74(f905(x41732,a894))),x41734)),f318(f74(f905(x41732,a894)),f318(f318(f35(x41731,f905(x41732,a894)),x41733),x41734)))
% 182.20/182.06 [4189]E(f318(f318(f280(x41891,x41891,x41891),f318(f318(f174(f904(x41891,x41891),a894),x41892),x41893)),f318(f318(f174(f904(x41891,x41891),a894),x41894),x41893)),f318(f318(f174(f904(x41891,x41891),a894),f318(f318(f75(a898),x41892),x41894)),x41893))
% 182.20/182.06 [4219]E(f318(f318(f35(x42191,f905(f905(x42192,a894),a894)),x42193),f318(f318(f8(f905(x42192,a894),f905(f905(x42192,a894),a894),x42191),f299(x42192)),x42194)),f318(f299(x42192),f318(f318(f35(x42191,f905(x42192,a894)),x42193),x42194)))
% 182.20/182.06 [4248]E(f318(f318(f34(f905(x42481,a894),f905(x42482,a894)),x42483),f318(f318(f7(f905(x42481,a894),f905(x42481,f905(x42482,a894)),f905(x42482,a894)),f34(x42481,f905(x42482,a894))),x42484)),f318(f318(f34(x42481,f905(x42482,a894)),f31(f905(x42481,a894),x42483)),x42484))
% 182.20/182.06 [4249]E(f318(f318(f35(f905(x42491,a894),f905(x42492,a894)),x42493),f318(f318(f7(f905(x42491,a894),f905(x42491,f905(x42492,a894)),f905(x42492,a894)),f35(x42491,f905(x42492,a894))),x42494)),f318(f318(f35(x42491,f905(x42492,a894)),f31(f905(x42491,a894),x42493)),x42494))
% 182.20/182.06 [4254]E(f318(f318(f145(x42541,x42542),x42543),f318(f133(f899(x42541),f899(x42541),f125(x42541),f104(x42541)),x42544)),f318(f133(f899(x42542),f899(x42542),f125(x42542),f104(x42542)),f318(f318(f145(f899(x42541),f899(x42542)),f318(f145(x42541,x42542),x42543)),x42544)))
% 182.20/182.06 [4256]E(f176(f899(x42561),f104(x42561),f318(f318(f8(f899(x42561),f899(x42561),a898),f318(f142(x42561),x42562)),f318(f318(f7(a898,f899(x42561),f899(x42561)),f166(x42561)),x42563)),x42564),f318(f318(f166(x42561),x42564),f318(f318(f142(x42561),x42562),x42563)))
% 182.20/182.06 [4294]P1(f318(f318(f226(f905(x42941,a894)),f318(f301(x42942,x42941,x42943),f318(f302(x42942,x42941,x42943),x42944))),x42944))
% 182.20/182.06 [4296]E(f318(f301(f904(x42961,x42962),f904(x42962,x42961),f318(f248(x42961,x42962,f904(x42962,x42961)),f318(f7(x42962,x42961,f904(x42962,x42961)),f243(x42962,x42961)))),f318(f318(f245(x42961,x42962),x42963),f318(f16(f905(x42962,a894),x42961),x42964))),f318(f318(f245(x42962,x42961),x42964),f318(f16(f905(x42961,a894),x42962),x42963)))
% 182.20/182.06 [4305]E(f318(f318(f34(x43051,f905(x43052,a894)),x43053),f318(f318(f8(f905(x43051,a894),f905(x43052,a894),x43051),f276(x43051,x43052,x43054)),f318(f318(f7(x43051,f905(x43051,a894),f905(x43051,a894)),f300(x43051)),f179(f905(x43051,a894))))),f318(f276(x43051,x43052,x43054),x43053))
% 182.20/182.06 [4306]E(f318(f318(f34(x43061,f905(x43062,a894)),x43063),f318(f318(f8(f905(x43061,a894),f905(x43062,a894),x43061),f302(x43062,x43061,x43064)),f318(f318(f7(x43061,f905(x43061,a894),f905(x43061,a894)),f300(x43061)),f179(f905(x43061,a894))))),f318(f302(x43062,x43061,x43064),x43063))
% 182.20/182.06 [4393]E(f318(f318(f101(f905(x43931,a894)),f318(f318(f101(f905(x43931,a894)),f318(f318(f92(f905(x43931,a894)),x43932),x43933)),f318(f318(f92(f905(x43931,a894)),x43933),x43934))),f318(f318(f92(f905(x43931,a894)),x43934),x43932)),f318(f318(f92(f905(x43931,a894)),f318(f318(f92(f905(x43931,a894)),f318(f318(f101(f905(x43931,a894)),x43932),x43933)),f318(f318(f101(f905(x43931,a894)),x43933),x43934))),f318(f318(f101(f905(x43931,a894)),x43934),x43932)))
% 182.20/182.06 [4456]E(f318(f133(f899(x44561),f899(x44561),f125(x44561),f104(x44561)),f318(f318(f145(x44562,f899(x44561)),f318(f318(f7(x44562,f899(x44561),f899(x44561)),f318(f318(f8(x44561,f905(f899(x44561),f899(x44561)),x44562),f142(x44561)),x44563)),f104(x44561))),x44564)),f318(f318(f145(x44562,x44561),x44563),x44564))
% 182.20/182.06 [4466]E(f318(f318(f81(a1,x44661),f318(f94(a1),f318(f318(f75(a1),x44662),a88))),f318(f318(f18(a1,x44661,x44661),f318(f318(f7(a1,x44661,f905(x44661,x44661)),f318(f318(f8(a894,f905(x44661,f905(x44661,x44661)),a1),f87(x44661)),a184)),x44663)),f318(f318(f8(a898,x44661,a1),x44664),a95))),f176(x44661,x44663,x44664,f318(f94(a898),x44662)))
% 182.20/182.06 [4497]E(f318(f253(x44971),f318(f318(f8(f905(x44972,a894),a894,x44971),f82(x44972)),f318(f318(f8(f905(x44972,a894),f905(x44972,a894),x44971),f318(f18(x44972,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44972),a316),f318(f318(f7(x44972,f905(x44972,a894),a894),f320(x44972)),x44973)))),f318(f7(x44972,x44971,a894),x44974)))),f318(f276(x44972,x44971,f318(f253(f904(x44972,x44971)),f318(f248(x44972,x44971,a894),x44974))),x44973))
% 182.20/182.06 [4632]~P1(f318(f318(f179(f905(x46321,f905(x46322,a894))),x46323),x46324))
% 182.20/182.06 [3957]E(f318(f318(f155(x39571),f318(f318(f125(x39571),x39572),x39573)),f318(f318(f75(a898),f318(f180(f899(x39571)),x39572)),x39574)),f318(f318(f155(x39571),x39573),x39574))
% 182.20/182.06 [3962]E(f318(f318(f129(x39621),x39622),f318(f318(f166(x39621),f318(f318(f75(a898),x39623),x39622)),x39624)),f318(f318(f166(x39621),x39623),f318(f318(f129(x39621),x39622),x39624)))
% 182.20/182.06 [4061]E(f318(f318(f101(f905(x40611,a894)),f318(f275(x40612,x40611),x40613)),f318(f275(x40612,x40611),x40614)),f318(f275(x40612,x40611),f318(f318(f101(f905(f904(x40612,x40611),a894)),x40613),x40614)))
% 182.20/182.06 [4062]E(f318(f318(f101(f905(x40621,a894)),f318(f255(x40621,x40622),x40623)),f318(f255(x40621,x40622),x40624)),f318(f255(x40621,x40622),f318(f318(f101(f905(f904(x40621,x40622),a894)),x40623),x40624)))
% 182.20/182.06 [4067]E(f318(f318(f23(f905(x40671,a894)),f318(f318(f92(f905(x40671,a894)),x40672),x40673)),x40674),f318(f318(f92(f905(x40671,a894)),x40672),f318(f318(f23(f905(x40671,a894)),x40673),x40674)))
% 182.20/182.06 [4068]E(f318(f318(f92(f905(x40681,a894)),f318(f318(f92(f905(x40681,a894)),x40682),x40683)),x40684),f318(f318(f92(f905(x40681,a894)),x40682),f318(f318(f92(f905(x40681,a894)),x40683),x40684)))
% 182.20/182.06 [4069]E(f318(f318(f101(f905(x40691,a894)),f318(f318(f101(f905(x40691,a894)),x40692),x40693)),x40694),f318(f318(f101(f905(x40691,a894)),x40692),f318(f318(f101(f905(x40691,a894)),x40693),x40694)))
% 182.20/182.06 [4107]E(f318(f318(f92(f905(f904(x41071,x41072),a894)),f318(f277(x41072,x41071),x41073)),f318(f277(x41072,x41071),x41074)),f318(f277(x41072,x41071),f318(f318(f92(f905(f904(x41072,x41071),a894)),x41073),x41074)))
% 182.20/182.06 [4108]E(f318(f318(f101(f905(f904(x41081,x41082),a894)),f318(f277(x41082,x41081),x41083)),f318(f277(x41082,x41081),x41084)),f318(f277(x41082,x41081),f318(f318(f101(f905(f904(x41082,x41081),a894)),x41083),x41084)))
% 182.20/182.06 [4121]E(f318(f318(f92(f905(x41211,f905(x41212,a894))),f234(x41212,x41211,x41213)),f234(x41212,x41211,x41214)),f234(x41212,x41211,f318(f318(f92(f905(x41212,f905(x41211,a894))),x41213),x41214)))
% 182.20/182.06 [4122]E(f318(f318(f101(f905(x41221,f905(x41222,a894))),f234(x41222,x41221,x41223)),f234(x41222,x41221,x41224)),f234(x41222,x41221,f318(f318(f101(f905(x41222,f905(x41221,a894))),x41223),x41224)))
% 182.20/182.06 [4176]E(f318(f318(f101(f905(x41761,a894)),f318(f318(f23(f905(x41761,a894)),x41762),x41763)),f318(f318(f23(f905(x41761,a894)),x41764),x41763)),f318(f318(f23(f905(x41761,a894)),f318(f318(f101(f905(x41761,a894)),x41762),x41764)),x41763))
% 182.20/182.06 [4177]E(f318(f318(f23(f905(x41771,a894)),f318(f318(f92(f905(x41771,a894)),x41772),x41773)),f318(f318(f92(f905(x41771,a894)),x41774),x41773)),f318(f318(f92(f905(x41771,a894)),f318(f318(f23(f905(x41771,a894)),x41772),x41774)),x41773))
% 182.20/182.06 [4178]E(f318(f318(f101(f905(x41781,a894)),f318(f318(f92(f905(x41781,a894)),x41782),x41783)),f318(f318(f92(f905(x41781,a894)),x41784),x41783)),f318(f318(f92(f905(x41781,a894)),f318(f318(f101(f905(x41781,a894)),x41782),x41784)),x41783))
% 182.20/182.06 [4179]E(f318(f318(f92(f905(x41791,a894)),f318(f318(f101(f905(x41791,a894)),x41792),x41793)),f318(f318(f101(f905(x41791,a894)),x41794),x41793)),f318(f318(f101(f905(x41791,a894)),f318(f318(f92(f905(x41791,a894)),x41792),x41794)),x41793))
% 182.20/182.06 [4180]E(f318(f318(f23(f905(x41801,a894)),f318(f318(f92(f905(x41801,a894)),x41802),x41803)),f318(f318(f92(f905(x41801,a894)),x41804),x41803)),f318(f318(f23(f905(x41801,a894)),f318(f318(f92(f905(x41801,a894)),x41802),x41803)),x41804))
% 182.20/182.06 [4192]E(f318(f318(f23(f905(x41921,a894)),f318(f318(f23(f905(x41921,a894)),x41922),f318(f318(f300(x41921),x41923),f179(f905(x41921,a894))))),x41924),f318(f318(f23(f905(x41921,a894)),x41922),f318(f318(f300(x41921),x41923),x41924)))
% 182.20/182.06 [4245]E(f318(f318(f101(f905(x42451,a894)),f318(f318(f300(x42451),x42452),f318(f318(f300(x42451),x42453),f179(f905(x42451,a894))))),f318(f272(x42451),x42454)),f318(f272(x42451),f318(f318(f300(f904(x42451,x42451)),f318(f318(f243(x42451,x42451),x42452),x42453)),x42454)))
% 182.20/182.06 [4270]E(f318(f318(f34(a898,f905(x42701,a894)),f318(f292(a898),x42702)),f318(f318(f8(a898,f905(x42701,a894),a898),x42703),f318(f318(f7(a898,a898,a898),f75(a898)),x42704))),f318(f318(f34(a898,f905(x42701,a894)),f294(a898,x42704,f318(f318(f75(a898),x42702),x42704))),x42703))
% 182.20/182.06 [4271]E(f165(x42711,f318(f276(x42711,x42711,x42712),f318(f318(f300(x42711),x42713),f179(f905(x42711,a894)))),f318(f276(f899(x42711),f899(x42711),f149(x42711,x42712)),f318(f318(f300(f899(x42711)),x42714),f179(f905(f899(x42711),a894))))),f318(f276(f899(x42711),f899(x42711),f149(x42711,x42712)),f318(f318(f300(f899(x42711)),f318(f318(f142(x42711),x42713),x42714)),f179(f905(f899(x42711),a894)))))
% 182.20/182.06 [4335]E(f318(f253(x43351),f318(f318(f7(x43351,f905(x43352,a894),a894),f318(f318(f8(x43352,f905(f905(x43352,a894),a894),x43351),f320(x43352)),x43353)),x43354)),f318(f302(x43351,x43352,x43353),x43354))
% 182.20/182.06 [4425]E(f318(f253(x44251),f318(f318(f7(x44251,f905(f904(x44252,x44251),a894),a894),f318(f318(f8(f904(x44252,x44251),f905(f905(f904(x44252,x44251),a894),a894),x44251),f320(f904(x44252,x44251))),f318(f243(x44252,x44251),x44253))),x44254)),f318(f276(x44252,x44251,x44254),f318(f318(f300(x44252),x44253),f179(f905(x44252,a894)))))
% 182.20/182.06 [4439]E(f318(f318(f145(f904(x44391,a898),x44391),f242(x44391,a898)),f318(f127(f904(x44391,a898),f318(f318(f8(a898,a894,f904(x44391,a898)),x44392),f318(f318(f8(a898,a898,f904(x44391,a898)),a103),f247(x44391,a898)))),f318(f318(f172(x44391,a898),x44393),x44394))),f318(f318(f145(f904(x44391,a898),x44391),f242(x44391,a898)),f318(f127(f904(x44391,a898),f318(f318(f8(a898,a894,f904(x44391,a898)),x44392),f247(x44391,a898))),f318(f318(f172(x44391,a898),x44393),f318(f318(f145(a898,a898),a103),x44394)))))
% 182.20/182.06 [4448]P1(f318(f318(f226(f905(f905(x44481,a894),a894)),f318(f318(f34(x44482,f905(f905(x44481,a894),a894)),x44483),f318(f318(f8(f905(x44481,a894),f905(f905(x44481,a894),a894),x44482),f299(x44481)),x44484))),f318(f299(x44481),f318(f318(f34(x44482,f905(x44481,a894)),x44483),x44484))))
% 182.20/182.06 [4489]E(f318(f318(f81(a1,x44891),f318(f94(a1),f318(f318(f75(a1),x44892),a88))),f318(f318(f18(a1,x44891,x44891),f318(f318(f7(a1,x44891,f905(x44891,x44891)),f318(f318(f8(a894,f905(x44891,f905(x44891,x44891)),a1),f87(x44891)),a184)),x44893)),f318(f318(f18(a1,x44891,x44891),f318(f318(f8(a898,f905(x44891,x44891),a1),x44894),a95)),f318(f318(f8(a898,x44891,a1),f175(x44891,x44893,x44894)),a95)))),f318(f175(x44891,x44893,x44894),f318(f94(a898),x44892)))
% 182.20/182.06 [4513]E(f318(f253(f904(x45131,x45132)),f318(f248(x45131,x45132,a894),f318(f318(f7(x45131,f905(x45132,a894),f905(x45132,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x45132,a894),f905(x45132,a894)),x45131),f8(a894,a894,x45132)),f318(f318(f8(a894,f905(a894,a894),x45131),a316),f318(f318(f7(x45131,f905(x45131,a894),a894),f320(x45131)),x45133)))),f318(f318(f7(x45132,f905(x45132,a894),a894),f320(x45132)),x45134)))),f220(x45131,x45132,x45133,x45134))
% 182.20/182.06 [4549]E(f318(f318(f34(x45491,f905(f904(x45491,x45492),a894)),x45493),f318(f318(f18(x45491,f905(x45492,f905(f904(x45491,x45492),a894)),f905(f904(x45491,x45492),a894)),f318(f318(f8(f905(x45492,a894),f905(f905(x45492,f905(f904(x45491,x45492),a894)),f905(f904(x45491,x45492),a894)),x45491),f34(x45492,f905(f904(x45491,x45492),a894))),x45494)),f318(f318(f7(x45491,f905(f904(x45491,x45492),a894),f905(x45492,f905(f904(x45491,x45492),a894))),f318(f318(f8(f905(x45492,f905(f905(f904(x45491,x45492),a894),f905(f904(x45491,x45492),a894))),f905(f905(f904(x45491,x45492),a894),f905(x45492,f905(f904(x45491,x45492),a894))),x45491),f7(x45492,f905(f904(x45491,x45492),a894),f905(f904(x45491,x45492),a894))),f318(f318(f8(f905(x45492,f904(x45491,x45492)),f905(x45492,f905(f905(f904(x45491,x45492),a894),f905(f904(x45491,x45492),a894))),x45491),f318(f8(f904(x45491,x45492),f905(f905(f904(x45491,x45492),a894),f905(f904(x45491,x45492),a894)),x45492),f300(f904(x45491,x45492)))),f243(x45491,x45492)))),f179(f905(f904(x45491,x45492),a894))))),f318(f318(f245(x45491,x45492),x45493),x45494))
% 182.20/182.06 [4116]E(f318(f318(f125(x41161),f318(f318(f166(x41161),x41162),x41163)),f318(f318(f166(x41161),f318(f318(f23(a898),x41162),f318(f180(f899(x41161)),x41163))),x41164)),f318(f318(f166(x41161),x41162),f318(f318(f125(x41161),x41163),x41164)))
% 182.20/182.06 [4117]E(f318(f318(f125(x41171),f318(f318(f129(x41171),x41172),x41173)),f318(f318(f129(x41171),f318(f318(f23(a898),x41172),f318(f180(f899(x41171)),x41173))),x41174)),f318(f318(f129(x41171),x41172),f318(f318(f125(x41171),x41173),x41174)))
% 182.20/182.06 [4166]E(f318(f318(f75(a898),f318(f318(f76(a898),x41661),x41662)),f318(f318(f75(a898),f318(f318(f76(a898),x41663),x41662)),x41664)),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f75(a898),x41661),x41663)),x41662)),x41664))
% 182.20/182.06 [4311]E(f85(x43111,f318(f318(f7(x43111,x43112,a894),f318(f318(f8(x43112,f905(x43112,a894),x43111),a315),x43113)),x43114)),f318(f86(x43111,x43112,f233(f905(x43111,a894)),x43113),x43114))
% 182.20/182.06 [4359]P1(f318(f318(f226(f905(x43591,a894)),f318(f318(f23(f905(x43591,a894)),f318(f275(x43592,x43591),x43593)),f318(f275(x43592,x43591),x43594))),f318(f275(x43592,x43591),f318(f318(f23(f905(f904(x43592,x43591),a894)),x43593),x43594))))
% 182.20/182.06 [4360]P1(f318(f318(f226(f905(x43601,a894)),f318(f318(f23(f905(x43601,a894)),f318(f255(x43601,x43602),x43603)),f318(f255(x43601,x43602),x43604))),f318(f255(x43601,x43602),f318(f318(f23(f905(f904(x43601,x43602),a894)),x43603),x43604))))
% 182.20/182.06 [4468]E(f318(f318(f75(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x44681),x44682)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x44683),x44684)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),f318(f318(f75(a898),x44681),x44683)),f318(f318(f75(a898),x44682),x44684))),f179(f905(f904(a898,a898),a894))))))
% 182.20/182.06 [4508]E(f318(f318(f76(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x45081),x45082)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x45083),x45084)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),f318(f318(f75(a898),f318(f318(f76(a898),x45081),x45083)),f318(f318(f76(a898),x45082),x45084))),f318(f318(f75(a898),f318(f318(f76(a898),x45081),x45084)),f318(f318(f76(a898),x45082),x45083)))),f179(f905(f904(a898,a898),a894))))))
% 182.20/182.06 [4529]E(f318(f253(x45291),f318(f318(f8(f905(x45292,a894),a894,x45291),f83(x45292)),f318(f318(f8(f905(x45292,a894),f905(x45292,a894),x45291),f318(f18(x45292,a894,a894),f318(f318(f8(a894,f905(a894,a894),x45292),a321),f318(f318(f7(x45292,f905(x45292,a894),a894),f320(x45292)),x45293)))),f318(f318(f7(x45291,f905(x45292,f905(x45291,a894)),f905(x45292,a894)),f318(f318(f8(f905(f905(x45291,a894),a894),f905(f905(x45292,f905(x45291,a894)),f905(x45292,a894)),x45291),f8(f905(x45291,a894),a894,x45292)),f320(x45291))),x45294)))),f318(f318(f35(x45292,f905(x45291,a894)),x45293),x45294))
% 182.20/182.06 [4561]E(f318(f318(f280(x45611,x45611,x45611),f318(f318(f300(f904(x45611,x45611)),f318(f318(f243(x45611,x45611),x45612),x45613)),x45614)),f298(x45611,f318(f318(f300(f904(x45611,x45611)),f318(f318(f243(x45611,x45611),x45612),x45613)),x45614))),f318(f318(f101(f905(f904(x45611,x45611),a894)),f318(f318(f280(x45611,x45611,x45611),x45614),f298(x45611,x45614))),f318(f253(f904(x45611,x45611)),f318(f248(x45611,x45611,a894),f318(f318(f7(x45611,f905(x45611,a894),f905(x45611,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x45611,a894),f905(x45611,a894)),x45611),f8(a894,a894,x45611)),f318(f318(f8(a894,f905(a894,a894),x45611),a316),f318(f318(f7(x45611,f905(f904(x45611,x45611),a894),a894),f318(f318(f8(f904(x45611,x45611),f905(f905(f904(x45611,x45611),a894),a894),x45611),f320(f904(x45611,x45611))),f318(f318(f7(x45611,x45611,f904(x45611,x45611)),f243(x45611,x45611)),x45612))),f298(x45611,x45614))))),f318(f318(f7(x45611,f905(f904(x45611,x45611),a894),a894),f318(f318(f8(f904(x45611,x45611),f905(f905(f904(x45611,x45611),a894),a894),x45611),f320(f904(x45611,x45611))),f318(f243(x45611,x45611),x45613))),f298(x45611,x45614)))))))
% 182.20/182.06 [4361]E(f318(f127(x43611,f318(f318(f18(x43611,a894,a894),f318(f318(f8(a894,f905(a894,a894),x43611),a316),x43612)),x43613)),x43614),f318(f127(x43611,x43613),f318(f127(x43611,x43612),x43614)))
% 182.20/182.06 [4462]E(f318(f318(f125(x44621),f318(f318(f318(f87(f899(x44621)),f318(f318(f320(a898),f2(a898)),x44622)),f318(f318(f142(x44621),x44623),f104(x44621))),f104(x44621))),f167(x44621,x44624,f318(f253(a898),f318(f318(f7(a898,f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),a898),f320(a898)),a103)),x44622)))),f167(x44621,f318(f318(f142(x44621),x44623),x44624),x44622))
% 182.20/182.06 [4557]E(f318(f253(f904(x45571,x45572)),f318(f318(f8(f905(a898,a894),a894,f904(x45571,x45572)),f82(a898)),f318(f318(f7(f904(x45571,x45572),f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),f904(x45571,x45572)),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),f904(x45571,x45572)),f318(f8(a894,f905(a894,a894),a898),a316)),f318(f318(f7(f904(x45571,x45572),f905(a898,f904(x45571,x45572)),f905(a898,a894)),f318(f318(f8(f905(f904(x45571,x45572),a894),f905(f905(a898,f904(x45571,x45572)),f905(a898,a894)),f904(x45571,x45572)),f8(f904(x45571,x45572),a894,a898)),a315)),f318(f318(f18(a898,x45572,f904(x45571,x45572)),f318(f318(f8(x45571,f905(x45572,f904(x45571,x45572)),a898),f243(x45571,x45572)),f318(f155(x45571),x45573))),f318(f155(x45572),x45574)))))),f318(f318(f7(a898,a898,a894),f227(a898)),f318(f318(f224(a898),f318(f180(f899(x45571)),x45573)),f318(f180(f899(x45572)),x45574)))))),f318(f163(f904(x45571,x45572)),f318(f318(f172(x45571,x45572),x45573),x45574)))
% 182.20/182.06 [4481]E(f318(f253(f904(x44811,x44812)),f318(f248(x44811,x44812,a894),f318(f318(f7(x44811,f905(x44812,a894),f905(x44812,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x44812,a894),f905(x44812,a894)),x44811),f8(a894,a894,x44812)),f318(f318(f8(a894,f905(a894,a894),x44811),a316),x44813))),x44814))),f318(f318(f245(x44811,x44812),f318(f253(x44811),x44813)),f318(f16(f905(x44812,a894),x44811),f318(f253(x44812),x44814))))
% 182.20/182.06 [4484]E(f318(f253(f904(x44841,x44842)),f318(f248(x44841,x44842,a894),f318(f318(f18(x44841,f905(x44842,a894),f905(x44842,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x44842,a894),f905(x44842,a894)),x44841),f8(a894,a894,x44842)),f318(f318(f8(a894,f905(a894,a894),x44841),a316),x44843))),x44844))),f318(f318(f245(x44841,x44842),f318(f253(x44841),x44843)),f318(f318(f8(f905(x44842,a894),f905(x44842,a894),x44841),f253(x44842)),x44844)))
% 182.20/182.06 [4496]E(f318(f253(x44961),f318(f318(f8(f905(x44962,a894),a894,x44961),f83(x44962)),f318(f318(f8(f905(x44962,a894),f905(x44962,a894),x44961),f318(f18(x44962,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44962),a321),f318(f318(f7(x44962,f905(x44962,a894),a894),f320(x44962)),x44963)))),x44964))),f318(f318(f35(x44962,f905(x44961,a894)),x44963),f318(f318(f8(f905(x44961,a894),f905(x44961,a894),x44962),f253(x44961)),f318(f7(x44961,x44962,a894),x44964))))
% 182.20/182.06 [4541]E(f318(f318(f145(f904(x45411,a898),x45411),f242(x45411,a898)),f318(f127(f904(x45411,a898),f318(f318(f7(f904(x45411,a898),f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),f904(x45411,a898)),f320(a898)),f247(x45411,a898))),x45412)),f318(f318(f172(x45411,a898),x45413),f130(a898,f318(f293(a898,x45414),f318(f318(f75(a898),x45414),f318(f180(f899(x45411)),x45413))))))),f318(f318(f145(f904(x45411,a898),x45411),f242(x45411,a898)),f318(f127(f904(x45411,a898),f318(f318(f7(f904(x45411,a898),f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),f904(x45411,a898)),f320(a898)),f318(f318(f7(f904(x45411,a898),a898,a898),f318(f318(f8(a898,f905(a898,a898),f904(x45411,a898)),f75(a898)),f247(x45411,a898))),x45414))),x45412)),f318(f318(f172(x45411,a898),x45413),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(x45411)),x45413)))))))
% 182.20/182.06 [4542]E(f318(a103,f318(f318(f225(a898),f318(f180(f899(x45421)),x45422)),f318(f133(a898,f899(x45423),f318(f7(f899(x45423),a898,a898),f318(f318(f8(a898,f905(a898,a898),f899(x45423)),f225(a898)),f318(f318(f7(f899(x45423),a898,a898),f318(f318(f8(a898,f905(a898,a898),f899(x45423)),f23(a898)),f180(f899(x45423)))),f318(a103,f2(a898))))),f2(a898)),f318(f159(f899(x45423)),f318(f127(f899(x45423),f318(f318(f8(a894,a894,f899(x45423)),a313),f318(f318(f7(f899(x45423),f899(x45423),a894),a315),f104(x45423)))),x45424))))),f318(f318(f225(a898),f318(a103,f318(f180(f899(x45421)),x45422))),f318(f133(a898,f899(x45423),f318(f7(f899(x45423),a898,a898),f318(f318(f8(a898,f905(a898,a898),f899(x45423)),f225(a898)),f180(f899(x45423)))),f2(a898)),f318(f159(f899(x45423)),x45424))))
% 182.20/182.06 [4495]E(f318(f318(f125(x44951),f167(x44951,x44952,x44953)),f167(x44951,x44954,f318(f253(a898),f318(f318(f7(a898,f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),a898),f320(a898)),f318(f318(f7(a898,a898,a898),f75(a898)),f318(f180(f899(x44951)),x44952)))),x44953)))),f167(x44951,f318(f318(f125(x44951),x44952),x44954),x44953))
% 182.20/182.06 [4543]E(f31(f905(x45431,a894),f318(f253(f905(x45431,a894)),f318(f318(f8(f905(x45432,a894),a894,f905(x45431,a894)),f82(x45432)),f318(f318(f8(f905(x45432,a894),f905(x45432,a894),f905(x45431,a894)),f318(f18(x45432,a894,a894),f318(f318(f8(a894,f905(a894,a894),x45432),a316),f318(f318(f7(x45432,f905(x45432,a894),a894),f320(x45432)),x45433)))),f318(f318(f7(f905(x45431,a894),f905(x45432,f905(x45431,a894)),f905(x45432,a894)),f318(f318(f8(f905(f905(x45431,a894),a894),f905(f905(x45432,f905(x45431,a894)),f905(x45432,a894)),f905(x45431,a894)),f8(f905(x45431,a894),a894,x45432)),a315)),x45434))))),f318(f318(f34(x45432,f905(x45431,a894)),x45433),x45434))
% 182.20/182.06 [4544]E(f32(f905(x45441,a894),f318(f253(f905(x45441,a894)),f318(f318(f8(f905(x45442,a894),a894,f905(x45441,a894)),f82(x45442)),f318(f318(f8(f905(x45442,a894),f905(x45442,a894),f905(x45441,a894)),f318(f18(x45442,a894,a894),f318(f318(f8(a894,f905(a894,a894),x45442),a316),f318(f318(f7(x45442,f905(x45442,a894),a894),f320(x45442)),x45443)))),f318(f318(f7(f905(x45441,a894),f905(x45442,f905(x45441,a894)),f905(x45442,a894)),f318(f318(f8(f905(f905(x45441,a894),a894),f905(f905(x45442,f905(x45441,a894)),f905(x45442,a894)),f905(x45441,a894)),f8(f905(x45441,a894),a894,x45442)),a315)),x45444))))),f318(f318(f35(x45442,f905(x45441,a894)),x45443),x45444))
% 182.20/182.06 [4551]E(f318(f318(f142(f899(x45511)),f318(f318(f142(x45511),x45512),f318(f133(f899(x45511),f899(x45511),f125(x45511),f104(x45511)),f318(f318(f145(f899(x45511),f899(x45511)),f147(f899(x45511),x45511,f104(x45511),f318(f318(f8(f899(x45511),f905(f899(x45511),f899(x45511)),x45511),f16(f899(x45511),f899(x45511))),f318(f318(f7(x45511,f899(x45511),f899(x45511)),f142(x45511)),f104(x45511))))),x45513)))),f170(x45511,f318(f318(f142(f899(x45511)),x45514),f318(f133(f899(f899(x45511)),f899(f899(x45511)),f125(f899(x45511)),f104(f899(x45511))),f318(f318(f145(f899(x45511),f899(f899(x45511))),f147(f899(f899(x45511)),x45511,f104(f899(x45511)),f318(f16(f905(f899(x45511),f899(f899(x45511))),x45511),f318(f318(f7(f899(x45511),f899(f899(x45511)),f899(f899(x45511))),f142(f899(x45511))),f104(f899(x45511)))))),x45513))))),f170(x45511,f318(f318(f142(f899(x45511)),f318(f318(f142(x45511),x45512),x45514)),x45513)))
% 182.20/182.06 [4558]E(f318(f253(f904(x45581,x45581)),f318(f248(x45581,x45581,a894),f318(f318(f7(x45581,f905(f904(x45582,x45582),a894),f905(x45581,a894)),f318(f318(f8(f905(x45581,f905(f905(f904(x45582,x45582),a894),a894)),f905(f905(f904(x45582,x45582),a894),f905(x45581,a894)),x45581),f7(x45581,f905(f904(x45582,x45582),a894),a894)),f318(f318(f8(f905(x45581,f904(x45582,x45582)),f905(x45581,f905(f905(f904(x45582,x45582),a894),a894)),x45581),f318(f8(f904(x45582,x45582),f905(f905(f904(x45582,x45582),a894),a894),x45581),f320(f904(x45582,x45582)))),f318(f318(f7(x45581,f905(x45581,x45582),f905(x45581,f904(x45582,x45582))),f318(f318(f8(f905(x45582,f904(x45582,x45582)),f905(f905(x45581,x45582),f905(x45581,f904(x45582,x45582))),x45581),f8(x45582,f904(x45582,x45582),x45581)),f318(f318(f8(x45582,f905(x45582,f904(x45582,x45582)),x45581),f243(x45582,x45582)),x45583))),x45583)))),x45584))),f318(f318(f279(x45582,x45581),x45584),x45583))
% 182.20/182.06 [3697]E(f318(f318(f145(x36971,x36972),x36973),f160(x36971,x36974,x36975)),f160(x36972,x36974,f318(x36973,x36975)))
% 182.20/182.06 [4027]E(f121(x40271,x40272,x40273,f117(x40271,x40274,x40275)),f117(x40272,f318(x40273,x40274),f121(x40271,x40272,x40273,x40275)))
% 182.20/182.06 [4260]E(f318(f69(x42601,x42602,x42603,x42604,x42605),x42604),x42605)
% 182.20/182.06 [4312]E(f244(x43121,x43122,x43123,f234(x43122,x43121,x43124),f234(x43123,x43122,x43125)),f234(x43123,x43121,f244(x43123,x43122,x43121,x43125,x43124)))
% 182.20/182.06 [3888]E(f318(f318(f248(x38881,x38882,x38883),x38884),x38885),f318(f318(x38884,f318(f242(x38881,x38882),x38885)),f318(f247(x38881,x38882),x38885)))
% 182.20/182.06 [3922]E(f318(f318(f318(f59(x39221,x39222,x39223),x39224),x39225),f179(f905(x39222,a894))),x39225)
% 182.20/182.06 [4200]E(f318(f67(f899(x42001),f899(x42002),f899(x42003),f318(f145(x42001,x42002),x42004)),f318(f145(x42003,x42001),x42005)),f318(f145(x42003,x42002),f318(f67(x42001,x42002,x42003,x42004),x42005)))
% 182.20/182.06 [4274]E(f80(x42741,f60(x42742,x42741,x42743,x42744,x42745)),f318(f318(f58(x42742,x42741,x42743),x42744),x42745))
% 182.20/182.06 [4308]E(f318(f318(f75(a898),f318(f318(f75(a898),f318(x43081,f318(f242(x43082,x43083),x43084))),f318(x43085,f318(f247(x43082,x43083),x43084)))),f318(a103,f2(a898))),f252(x43082,x43083,x43081,x43085,x43084))
% 182.20/182.06 [3825]E(f318(f318(f166(x38251),x38252),f318(f318(f145(x38253,x38251),x38254),x38255)),f318(f318(f145(x38253,x38251),x38254),f318(f318(f166(x38253),x38252),x38255)))
% 182.20/182.06 [3826]E(f318(f318(f129(x38261),x38262),f318(f318(f145(x38263,x38261),x38264),x38265)),f318(f318(f145(x38263,x38261),x38264),f318(f318(f129(x38263),x38262),x38265)))
% 182.20/182.06 [3857]E(f318(f318(f145(x38571,x38572),x38573),f318(f318(f142(x38571),x38574),x38575)),f318(f318(f142(x38572),f318(x38573,x38574)),f318(f318(f145(x38571,x38572),x38573),x38575)))
% 182.20/182.06 [3918]E(f318(f301(x39181,x39182,x39183),f318(f318(f300(x39181),x39184),x39185)),f318(f318(f300(x39182),f318(x39183,x39184)),f318(f301(x39181,x39182,x39183),x39185)))
% 182.20/182.06 [3946]E(f164(x39461,f318(f318(f142(x39461),x39462),x39463),f318(f318(f142(x39461),x39464),x39465)),f318(f318(f142(x39461),x39462),f318(f318(f142(x39461),x39464),f164(x39461,x39463,x39465))))
% 182.20/182.06 [3982]E(f318(f318(f172(x39821,x39822),f318(f318(f166(x39821),x39823),x39824)),f318(f318(f166(x39822),x39823),x39825)),f318(f318(f166(f904(x39821,x39822)),x39823),f318(f318(f172(x39821,x39822),x39824),x39825)))
% 182.20/182.06 [3983]E(f318(f318(f172(x39831,x39832),f318(f318(f129(x39831),x39833),x39834)),f318(f318(f129(x39832),x39833),x39835)),f318(f318(f129(f904(x39831,x39832)),x39833),f318(f318(f172(x39831,x39832),x39834),x39835)))
% 182.20/182.06 [3992]E(f318(f318(f150(x39921,f318(f318(f142(x39921),x39922),x39923)),f318(a103,x39924)),x39925),f318(f318(f142(x39921),x39922),f318(f318(f150(x39921,x39923),x39924),x39925)))
% 182.20/182.06 [3995]E(f318(f318(f125(x39951),f318(f318(f145(x39952,x39951),x39953),x39954)),f318(f318(f145(x39952,x39951),x39953),x39955)),f318(f318(f145(x39952,x39951),x39953),f318(f318(f125(x39952),x39954),x39955)))
% 182.20/182.06 [3999]E(f318(f318(x39991,x39992),f318(f318(f236(x39993,x39994,x39991),x39992),x39995)),f318(f318(f236(x39993,x39994,x39991),x39992),f318(a103,x39995)))
% 182.20/182.06 [4031]E(f154(x40311,x40312,x40313,f318(f318(f142(x40311),x40314),x40315)),f318(f318(f125(x40312),f318(x40313,x40314)),f154(x40311,x40312,x40313,x40315)))
% 182.20/182.06 [4044]E(f318(f318(f280(x40441,x40442,x40443),f318(f277(x40442,x40441),x40444)),f318(f277(x40443,x40442),x40445)),f318(f277(x40443,x40441),f318(f318(f280(x40443,x40442,x40441),x40445),x40444)))
% 182.20/182.06 [4077]E(f318(f318(f318(f174(f899(x40771),f899(x40771)),x40772),f158(x40771)),f318(f318(f145(x40773,x40771),x40774),x40775)),f318(f318(f145(x40773,x40771),x40774),f318(f318(f318(f174(f899(x40773),f899(x40773)),x40772),f158(x40773)),x40775)))
% 182.20/182.06 [4078]E(f318(f318(f250(x40781,x40782,x40781,x40783),f318(f243(x40782,x40781),x40784)),x40785),f318(x40785,x40784))
% 182.20/182.06 [4102]E(f146(x41021,x41022,f318(f318(f145(x41023,x41021),x41024),x41025)),f146(x41023,f318(f67(x41021,a898,x41023,x41022),x41024),x41025))
% 182.20/182.06 [4165]E(f168(f904(x41651,x41652),f318(f67(x41652,a894,f904(x41651,x41652),x41653),f247(x41651,x41652)),f318(f318(f172(x41651,x41652),x41654),x41655)),f318(f318(f172(x41651,x41652),x41654),f168(x41652,x41653,x41655)))
% 182.20/182.06 [4170]E(f318(f301(x41701,x41702,f318(f318(f8(x41703,x41702,x41701),x41704),x41705)),f233(f905(x41701,a894))),f318(f301(x41703,x41702,x41704),f318(f301(x41701,x41703,x41705),f233(f905(x41701,a894)))))
% 182.20/182.06 [4183]E(f168(f904(x41831,x41832),f318(f67(x41831,a894,f904(x41831,x41832),x41833),f242(x41831,x41832)),f318(f318(f172(x41831,x41832),x41834),x41835)),f318(f318(f172(x41831,x41832),f168(x41831,x41833,x41834)),x41835))
% 182.20/182.06 [4204]E(f318(f318(f101(f905(x42041,a894)),f318(f302(x42041,x42042,x42043),f318(f318(f300(x42042),x42044),f179(f905(x42042,a894))))),f318(f302(x42041,x42042,x42043),x42045)),f318(f302(x42041,x42042,x42043),f318(f318(f300(x42042),x42044),x42045)))
% 182.20/182.06 [4259]E(f318(f318(f125(f904(x42591,x42592)),f318(f318(f145(x42592,f904(x42591,x42592)),f318(f243(x42591,x42592),x42593)),x42594)),f54(x42591,x42592,x42595,x42594)),f54(x42591,x42592,f318(f318(f142(x42591),x42593),x42595),x42594))
% 182.20/182.06 [4261]E(f318(f318(f145(x42611,x42612),x42613),f168(x42611,f318(f67(x42612,a894,x42611,x42614),x42613),x42615)),f168(x42612,x42614,f318(f318(f145(x42611,x42612),x42613),x42615)))
% 182.20/182.06 [4266]E(f318(f133(x42661,x42662,f318(f7(x42662,x42661,x42661),f318(f7(x42661,x42662,x42661),x42663)),x42664),f318(f159(x42662),f318(f159(x42662),x42665))),f318(f133(x42661,x42662,x42663,x42664),x42665))
% 182.20/182.06 [4369]P1(f318(f318(f226(f905(x43691,a894)),f318(f301(x43692,x43691,x43693),f318(f318(f92(f905(x43692,a894)),x43694),x43695))),f318(f318(f92(f905(x43691,a894)),f318(f301(x43692,x43691,x43693),x43694)),f318(f301(x43692,x43691,x43693),x43695))))
% 182.20/182.06 [4370]P1(f318(f318(f226(f905(x43701,a894)),f318(f276(x43702,x43701,x43703),f318(f318(f92(f905(x43702,a894)),x43704),x43705))),f318(f318(f92(f905(x43701,a894)),f318(f276(x43702,x43701,x43703),x43704)),f318(f276(x43702,x43701,x43703),x43705))))
% 182.20/182.06 [4469]E(f318(f247(x44691,x44692),f318(f249(x44693,x44691,x44692,x44692,x44694,f25(x44692)),x44695)),f318(f247(x44693,x44692),x44695))
% 182.20/182.06 [4470]E(f318(f242(x44701,x44702),f318(f249(x44701,x44701,x44703,x44702,f25(x44701),x44704),x44705)),f318(f242(x44701,x44703),x44705))
% 182.20/182.06 [3669]E(f318(f318(f318(f318(f195(x36691),x36692),x36693),x36694),x36695),f183(x36691,x36692))
% 182.20/182.06 [3670]E(f318(f318(f318(f318(f199(x36701),x36702),x36703),x36704),x36705),f190(x36701,x36702))
% 182.20/182.06 [4032]E(f318(f318(f34(x40321,f905(x40322,a894)),f318(f318(f300(x40321),x40323),x40324)),x40325),f318(f318(f101(f905(x40322,a894)),f318(x40325,x40323)),f318(f318(f34(x40321,f905(x40322,a894)),x40324),x40325)))
% 182.20/182.06 [4033]E(f318(f318(f35(x40331,f905(x40332,a894)),f318(f318(f300(x40331),x40333),x40334)),x40335),f318(f318(f92(f905(x40332,a894)),f318(x40335,x40333)),f318(f318(f35(x40331,f905(x40332,a894)),x40334),x40335)))
% 182.20/182.06 [4085]E(f318(f109(x40851,x40852,f318(x40853,x40854)),f318(f318(f7(x40851,a90,f900(x40852)),x40855),x40854)),f318(f188(x40851,x40852,x40853,x40855),x40854))
% 182.20/182.06 [4096]E(f318(f318(f101(f905(x40961,a894)),f318(f301(x40962,x40961,x40963),x40964)),f318(f301(x40962,x40961,x40963),x40965)),f318(f301(x40962,x40961,x40963),f318(f318(f101(f905(x40962,a894)),x40964),x40965)))
% 182.20/182.06 [4097]E(f318(f318(f101(f905(x40971,a894)),f318(f276(x40972,x40971,x40973),x40974)),f318(f276(x40972,x40971,x40973),x40975)),f318(f276(x40972,x40971,x40973),f318(f318(f101(f905(x40972,a894)),x40974),x40975)))
% 182.20/182.06 [4098]E(f318(f318(f23(f905(x40981,a894)),f318(f302(x40981,x40982,x40983),x40984)),f318(f302(x40981,x40982,x40983),x40985)),f318(f302(x40981,x40982,x40983),f318(f318(f23(f905(x40982,a894)),x40984),x40985)))
% 182.20/182.06 [4099]E(f318(f318(f92(f905(x40991,a894)),f318(f302(x40991,x40992,x40993),x40994)),f318(f302(x40991,x40992,x40993),x40995)),f318(f302(x40991,x40992,x40993),f318(f318(f92(f905(x40992,a894)),x40994),x40995)))
% 182.20/182.06 [4100]E(f318(f318(f101(f905(x41001,a894)),f318(f302(x41001,x41002,x41003),x41004)),f318(f302(x41001,x41002,x41003),x41005)),f318(f302(x41001,x41002,x41003),f318(f318(f101(f905(x41002,a894)),x41004),x41005)))
% 182.20/182.06 [4161]E(f318(f318(f150(x41611,f318(f318(f125(x41611),x41612),f318(f318(f142(x41611),x41613),x41614))),f318(f180(f899(x41611)),x41612)),x41615),f318(f318(f125(x41611),x41612),f318(f318(f142(x41611),x41615),x41614)))
% 182.20/182.06 [4168]E(f318(f318(f35(x41681,f905(x41682,a894)),x41683),f318(f318(f8(f905(x41682,a894),f905(x41682,a894),x41681),f318(f300(x41682),x41684)),x41685)),f318(f318(f300(x41682),x41684),f318(f318(f35(x41681,f905(x41682,a894)),x41683),x41685)))
% 182.20/182.06 [4321]E(f318(f318(f145(x43211,x43212),x43213),f318(f127(x43211,f318(f67(x43212,a894,x43211,x43214),x43213)),x43215)),f318(f127(x43212,x43214),f318(f318(f145(x43211,x43212),x43213),x43215)))
% 182.20/182.06 [4327]E(f318(f180(f899(x43271)),f318(f127(x43271,x43272),f318(f318(f145(x43273,x43271),x43274),x43275))),f318(f180(f899(x43273)),f318(f127(x43273,f318(f67(x43271,a894,x43273,x43272),x43274)),x43275)))
% 182.20/182.06 [4534]E(f318(f147(f899(f904(x45341,x45342)),x45342,f104(f904(x45341,x45342)),f318(f318(f7(x45342,f905(f899(x45342),f899(f904(x45341,x45342))),f905(f899(x45342),f899(f904(x45341,x45342)))),f318(f318(f8(f905(f899(f904(x45341,x45342)),f899(f904(x45341,x45342))),f905(f905(f899(x45342),f899(f904(x45341,x45342))),f905(f899(x45342),f899(f904(x45341,x45342)))),x45342),f8(f899(f904(x45341,x45342)),f899(f904(x45341,x45342)),f899(x45342))),f318(f318(f8(f904(x45341,x45342),f905(f899(f904(x45341,x45342)),f899(f904(x45341,x45342))),x45342),f142(f904(x45341,x45342))),f318(f243(x45341,x45342),x45343)))),f318(f172(x45341,x45342),x45344))),x45345),f318(f318(f172(x45341,x45342),f318(f318(f142(x45341),x45343),x45344)),x45345))
% 182.20/182.06 [4024]E(f318(f318(f150(x40241,f318(f318(f150(x40241,x40242),x40243),x40244)),x40243),x40245),f318(f318(f150(x40241,x40242),x40243),x40245))
% 182.20/182.06 [4079]E(f318(f275(x40791,x40792),f318(f318(f300(f904(x40791,x40792)),f318(f318(f243(x40791,x40792),x40793),x40794)),x40795)),f318(f318(f300(x40792),x40794),f318(f275(x40791,x40792),x40795)))
% 182.20/182.06 [4080]E(f318(f255(x40801,x40802),f318(f318(f300(f904(x40801,x40802)),f318(f318(f243(x40801,x40802),x40803),x40804)),x40805)),f318(f318(f300(x40801),x40803),f318(f255(x40801,x40802),x40805)))
% 182.20/182.06 [4126]E(f113(x41261,x41262,f318(x41263,x41264),f318(f318(f7(x41261,a90,f900(f901(x41262))),x41265),x41264)),f318(f186(x41261,x41262,x41263,x41265),x41264))
% 182.20/182.06 [4154]E(f318(f318(f23(f905(f904(x41541,x41542),a894)),f318(f318(f245(x41541,x41542),x41543),x41544)),f318(f318(f245(x41541,x41542),x41545),x41544)),f318(f318(f245(x41541,x41542),f318(f318(f23(f905(x41541,a894)),x41543),x41545)),x41544))
% 182.20/182.06 [4155]E(f318(f318(f92(f905(f904(x41551,x41552),a894)),f318(f318(f245(x41551,x41552),x41553),x41554)),f318(f318(f245(x41551,x41552),x41555),x41554)),f318(f318(f245(x41551,x41552),f318(f318(f92(f905(x41551,a894)),x41553),x41555)),x41554))
% 182.20/182.06 [4156]E(f318(f318(f101(f905(f904(x41561,x41562),a894)),f318(f318(f245(x41561,x41562),x41563),x41564)),f318(f318(f245(x41561,x41562),x41565),x41564)),f318(f318(f245(x41561,x41562),f318(f318(f101(f905(x41561,a894)),x41563),x41565)),x41564))
% 182.20/182.06 [4215]E(f318(f318(f101(f905(x42151,a894)),f318(f318(f34(x42152,f905(x42151,a894)),x42153),x42154)),f318(f318(f34(x42152,f905(x42151,a894)),x42155),x42154)),f318(f318(f34(x42152,f905(x42151,a894)),f318(f318(f101(f905(x42152,a894)),x42153),x42155)),x42154))
% 182.20/182.06 [4216]E(f318(f318(f92(f905(x42161,a894)),f318(f318(f35(x42162,f905(x42161,a894)),x42163),x42164)),f318(f318(f35(x42162,f905(x42161,a894)),x42165),x42164)),f318(f318(f35(x42162,f905(x42161,a894)),f318(f318(f101(f905(x42162,a894)),x42163),x42165)),x42164))
% 182.20/182.06 [4230]E(f318(f318(f34(x42301,f905(x42302,a894)),x42303),f318(f318(f8(f905(x42302,a894),f905(x42302,a894),x42301),f318(f23(f905(x42302,a894)),x42304)),x42305)),f318(f318(f23(f905(x42302,a894)),x42304),f318(f318(f35(x42301,f905(x42302,a894)),x42303),x42305)))
% 182.20/182.06 [4231]E(f318(f318(f34(x42311,f905(x42312,a894)),x42313),f318(f318(f8(f905(x42312,a894),f905(x42312,a894),x42311),f318(f92(f905(x42312,a894)),x42314)),x42315)),f318(f318(f92(f905(x42312,a894)),x42314),f318(f318(f34(x42311,f905(x42312,a894)),x42313),x42315)))
% 182.20/182.06 [4232]E(f318(f318(f35(x42321,f905(x42322,a894)),x42323),f318(f318(f8(f905(x42322,a894),f905(x42322,a894),x42321),f318(f101(f905(x42322,a894)),x42324)),x42325)),f318(f318(f101(f905(x42322,a894)),x42324),f318(f318(f35(x42321,f905(x42322,a894)),x42323),x42325)))
% 182.20/182.06 [4286]E(f176(f899(x42861),f318(f318(f142(x42861),x42862),x42863),f318(f318(f8(f899(x42861),f899(x42861),a898),f318(f142(x42861),x42864)),f318(f318(f7(a898,x42861,f899(x42861)),f150(x42861,x42863)),x42862)),x42865),f318(f318(f150(x42861,f318(f318(f142(x42861),x42864),x42863)),x42865),x42862))
% 182.20/182.06 [4290]E(f318(f318(f34(x42901,f905(f904(x42902,x42903),a894)),x42904),f318(f318(f8(f905(f904(x42903,x42902),a894),f905(f904(x42902,x42903),a894),x42901),f277(x42903,x42902)),x42905)),f318(f277(x42903,x42902),f318(f318(f34(x42901,f905(f904(x42903,x42902),a894)),x42904),x42905)))
% 182.20/182.06 [4291]E(f318(f318(f35(x42911,f905(f904(x42912,x42913),a894)),x42914),f318(f318(f8(f905(f904(x42913,x42912),a894),f905(f904(x42912,x42913),a894),x42911),f277(x42913,x42912)),x42915)),f318(f277(x42913,x42912),f318(f318(f35(x42911,f905(f904(x42913,x42912),a894)),x42914),x42915)))
% 182.20/182.06 [4392]P1(f318(f318(f226(f905(x43921,a894)),f318(f318(f23(f905(x43921,a894)),f318(f301(x43922,x43921,x43923),x43924)),f318(f301(x43922,x43921,x43923),x43925))),f318(f301(x43922,x43921,x43923),f318(f318(f23(f905(x43922,a894)),x43924),x43925))))
% 182.20/182.06 [4537]E(f318(f147(f899(f904(x45371,x45372)),x45371,f104(f904(x45371,x45372)),f318(f318(f7(x45371,f905(f899(x45371),f899(f904(x45371,x45372))),f905(f899(x45371),f899(f904(x45371,x45372)))),f318(f318(f8(f905(f899(f904(x45371,x45372)),f899(f904(x45371,x45372))),f905(f905(f899(x45371),f899(f904(x45371,x45372))),f905(f899(x45371),f899(f904(x45371,x45372)))),x45371),f8(f899(f904(x45371,x45372)),f899(f904(x45371,x45372)),f899(x45371))),f318(f318(f8(f904(x45371,x45372),f905(f899(f904(x45371,x45372)),f899(f904(x45371,x45372))),x45371),f142(f904(x45371,x45372))),f318(f318(f7(x45371,x45372,f904(x45371,x45372)),f243(x45371,x45372)),x45373)))),f318(f318(f7(f899(x45371),f899(x45372),f899(f904(x45371,x45372))),f172(x45371,x45372)),x45374))),x45375),f318(f318(f172(x45371,x45372),x45375),f318(f318(f142(x45372),x45373),x45374)))
% 182.20/182.06 [4255]E(f318(f318(f101(f905(x42551,a894)),f318(f276(x42552,x42551,x42553),x42554)),f318(f276(x42552,x42551,x42555),x42554)),f318(f276(x42552,x42551,f318(f318(f101(f905(f904(x42552,x42551),a894)),x42553),x42555)),x42554))
% 182.20/182.06 [4292]E(f318(f318(f125(f904(x42921,x42922)),f318(f318(f172(x42921,x42922),x42923),f318(f318(f166(x42922),f318(f180(f899(x42921)),x42923)),x42924))),f318(f318(f172(x42921,x42922),x42925),f318(f318(f129(x42922),f318(f180(f899(x42921)),x42923)),x42924))),f318(f318(f172(x42921,x42922),f318(f318(f125(x42921),x42923),x42925)),x42924))
% 182.20/182.06 [4395]E(f318(f318(f245(x43951,x43952),x43953),f318(f318(f18(x43951,f905(x43952,a894),f905(x43952,a894)),f318(f318(f8(f905(x43952,a894),f905(f905(x43952,a894),f905(x43952,a894)),x43951),f23(f905(x43952,a894))),x43954)),x43955)),f318(f318(f23(f905(f904(x43951,x43952),a894)),f318(f318(f245(x43951,x43952),x43953),x43954)),f318(f318(f245(x43951,x43952),x43953),x43955)))
% 182.20/182.06 [4396]E(f318(f318(f245(x43961,x43962),x43963),f318(f318(f18(x43961,f905(x43962,a894),f905(x43962,a894)),f318(f318(f8(f905(x43962,a894),f905(f905(x43962,a894),f905(x43962,a894)),x43961),f92(f905(x43962,a894))),x43964)),x43965)),f318(f318(f92(f905(f904(x43961,x43962),a894)),f318(f318(f245(x43961,x43962),x43963),x43964)),f318(f318(f245(x43961,x43962),x43963),x43965)))
% 182.20/182.06 [4397]E(f318(f318(f245(x43971,x43972),x43973),f318(f318(f18(x43971,f905(x43972,a894),f905(x43972,a894)),f318(f318(f8(f905(x43972,a894),f905(f905(x43972,a894),f905(x43972,a894)),x43971),f101(f905(x43972,a894))),x43974)),x43975)),f318(f318(f101(f905(f904(x43971,x43972),a894)),f318(f318(f245(x43971,x43972),x43973),x43974)),f318(f318(f245(x43971,x43972),x43973),x43975)))
% 182.20/182.06 [4401]E(f318(f318(f34(x44011,f905(x44012,a894)),x44013),f318(f318(f7(x44011,f905(x44012,a894),f905(x44012,a894)),f318(f318(f8(f905(x44012,a894),f905(f905(x44012,a894),f905(x44012,a894)),x44011),f23(f905(x44012,a894))),x44014)),x44015)),f318(f318(f23(f905(x44012,a894)),f318(f318(f34(x44011,f905(x44012,a894)),x44013),x44014)),x44015))
% 182.20/182.06 [4402]E(f318(f318(f34(x44021,f905(x44022,a894)),x44023),f318(f318(f7(x44021,f905(x44022,a894),f905(x44022,a894)),f318(f318(f8(f905(x44022,a894),f905(f905(x44022,a894),f905(x44022,a894)),x44021),f92(f905(x44022,a894))),x44024)),x44025)),f318(f318(f92(f905(x44022,a894)),f318(f318(f34(x44021,f905(x44022,a894)),x44023),x44024)),x44025))
% 182.20/182.06 [4403]E(f318(f318(f35(x44031,f905(x44032,a894)),x44033),f318(f318(f7(x44031,f905(x44032,a894),f905(x44032,a894)),f318(f318(f8(f905(x44032,a894),f905(f905(x44032,a894),f905(x44032,a894)),x44031),f101(f905(x44032,a894))),x44034)),x44035)),f318(f318(f101(f905(x44032,a894)),f318(f318(f35(x44031,f905(x44032,a894)),x44033),x44034)),x44035))
% 182.20/182.06 [4407]E(f318(f318(f34(x44071,f905(x44072,a894)),x44073),f318(f318(f18(x44071,f905(x44072,a894),f905(x44072,a894)),f318(f318(f8(f905(x44072,a894),f905(f905(x44072,a894),f905(x44072,a894)),x44071),f101(f905(x44072,a894))),x44074)),x44075)),f318(f318(f101(f905(x44072,a894)),f318(f318(f34(x44071,f905(x44072,a894)),x44073),x44074)),f318(f318(f34(x44071,f905(x44072,a894)),x44073),x44075)))
% 182.20/182.06 [4408]E(f318(f318(f35(x44081,f905(x44082,a894)),x44083),f318(f318(f18(x44081,f905(x44082,a894),f905(x44082,a894)),f318(f318(f8(f905(x44082,a894),f905(f905(x44082,a894),f905(x44082,a894)),x44081),f92(f905(x44082,a894))),x44084)),x44085)),f318(f318(f92(f905(x44082,a894)),f318(f318(f35(x44081,f905(x44082,a894)),x44083),x44084)),f318(f318(f35(x44081,f905(x44082,a894)),x44083),x44085)))
% 182.20/182.06 [4421]E(f318(f318(f34(x44211,f905(x44212,a894)),x44213),f318(f318(f18(x44211,f905(x44212,a894),f905(x44212,a894)),f318(f318(f8(f905(x44212,a894),f905(f905(x44212,a894),f905(x44212,a894)),x44211),f101(f905(x44212,a894))),x44214)),x44215)),f318(f318(f101(f905(x44212,a894)),f31(f905(x44212,a894),f318(f301(x44211,f905(x44212,a894),x44214),x44213))),f31(f905(x44212,a894),f318(f301(x44211,f905(x44212,a894),x44215),x44213))))
% 182.20/182.06 [4422]E(f318(f318(f35(x44221,f905(x44222,a894)),x44223),f318(f318(f18(x44221,f905(x44222,a894),f905(x44222,a894)),f318(f318(f8(f905(x44222,a894),f905(f905(x44222,a894),f905(x44222,a894)),x44221),f92(f905(x44222,a894))),x44224)),x44225)),f318(f318(f92(f905(x44222,a894)),f32(f905(x44222,a894),f318(f301(x44221,f905(x44222,a894),x44224),x44223))),f32(f905(x44222,a894),f318(f301(x44221,f905(x44222,a894),x44225),x44223))))
% 182.20/182.06 [4458]E(f318(f318(f129(x44581),f318(f180(f899(x44581)),f168(x44581,x44582,f318(f318(f145(x44583,x44581),x44584),x44585)))),f318(f318(f145(x44583,x44581),x44584),x44585)),f318(f318(f145(x44583,x44581),x44584),f318(f318(f129(x44583),f318(f180(f899(x44583)),f168(x44583,f318(f67(x44581,a894,x44583,x44582),x44584),x44585))),x44585)))
% 182.20/182.06 [4334]E(f318(f318(f125(f904(x43341,x43342)),f318(f318(f172(x43341,x43342),f318(f318(f166(x43341),f318(f180(f899(x43342)),x43343)),x43344)),x43343)),f318(f318(f172(x43341,x43342),f318(f318(f129(x43341),f318(f180(f899(x43342)),x43343)),x43344)),x43345)),f318(f318(f172(x43341,x43342),x43344),f318(f318(f125(x43342),x43343),x43345)))
% 182.20/182.06 [4449]E(f80(x44491,f318(f318(f18(x44491,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44491),a316),f318(f318(f7(x44491,f905(x44491,a894),a894),f320(x44491)),x44492))),f318(f318(f7(x44491,x44493,a894),f318(f318(f8(x44493,f905(x44493,a894),x44491),a315),x44494)),x44495))),f318(f72(x44491,x44493,x44492,x44494),x44495))
% 182.20/182.06 [4450]E(f85(x44501,f318(f318(f18(x44501,a894,a894),f318(f318(f8(a894,f905(a894,a894),x44501),a316),f318(f318(f7(x44501,f905(x44501,a894),a894),f320(x44501)),x44502))),f318(f318(f7(x44501,x44503,a894),f318(f318(f8(x44503,f905(x44503,a894),x44501),a315),x44504)),x44505))),f318(f86(x44501,x44503,x44502,x44504),x44505))
% 182.20/182.06 [4498]E(f318(f318(f81(a1,x44981),f318(f94(a1),f318(f318(f75(a1),x44982),a88))),f318(f318(f18(a1,x44981,x44981),f318(f318(f7(a1,x44981,f905(x44981,x44981)),f318(f318(f8(a894,f905(x44981,f905(x44981,x44981)),a1),f87(x44981)),a184)),f176(x44981,x44983,x44984,x44985))),f318(f318(f8(a898,x44981,a1),x44984),f318(f318(f7(a1,a898,a898),f318(f318(f8(a898,f905(a898,a898),a1),f75(a898)),a95)),x44985)))),f176(x44981,x44983,x44984,f318(f318(f75(a898),f318(f94(a898),x44982)),x44985)))
% 182.20/182.06 [4533]E(f318(f318(f81(a1,x45331),f318(f94(a1),f318(f318(f75(a1),x45332),a88))),f318(f318(f18(a1,x45331,x45331),f318(f318(f7(a1,x45331,f905(x45331,x45331)),f318(f318(f8(a894,f905(x45331,f905(x45331,x45331)),a1),f87(x45331)),a184)),f318(f175(x45331,x45333,x45334),x45335))),f318(f318(f18(a1,x45331,x45331),f318(f318(f8(a898,f905(x45331,x45331),a1),x45334),f318(f318(f7(a1,a898,a898),f318(f318(f8(a898,f905(a898,a898),a1),f75(a898)),a95)),x45335))),f318(f318(f8(a898,x45331,a1),f175(x45331,x45333,x45334)),f318(f318(f7(a1,a898,a898),f318(f318(f8(a898,f905(a898,a898),a1),f75(a898)),a95)),x45335))))),f318(f175(x45331,x45333,x45334),f318(f318(f75(a898),f318(f94(a898),x45332)),x45335)))
% 182.20/182.06 [4566]E(f318(f253(f904(x45661,x45662)),f318(f248(x45661,x45662,a894),f318(f318(f8(f905(x45662,f905(x45663,a894)),f905(x45662,a894),x45661),f318(f8(f905(x45663,a894),a894,x45662),f82(x45663))),f318(f318(f7(x45661,f905(x45662,f905(x45663,a894)),f905(x45662,f905(x45663,a894))),f318(f318(f8(f905(f905(x45663,a894),f905(x45663,a894)),f905(f905(x45662,f905(x45663,a894)),f905(x45662,f905(x45663,a894))),x45661),f8(f905(x45663,a894),f905(x45663,a894),x45662)),f318(f318(f8(f905(x45663,f905(a894,a894)),f905(f905(x45663,a894),f905(x45663,a894)),x45661),f18(x45663,a894,a894)),f318(f318(f8(f905(x45663,a894),f905(x45663,f905(a894,a894)),x45661),f318(f8(a894,f905(a894,a894),x45663),a316)),f318(f318(f7(x45661,f905(f904(x45661,x45663),a894),f905(x45663,a894)),f318(f318(f8(f905(x45663,f905(f905(f904(x45661,x45663),a894),a894)),f905(f905(f904(x45661,x45663),a894),f905(x45663,a894)),x45661),f7(x45663,f905(f904(x45661,x45663),a894),a894)),f318(f318(f8(f905(x45663,f904(x45661,x45663)),f905(x45663,f905(f905(f904(x45661,x45663),a894),a894)),x45661),f318(f8(f904(x45661,x45663),f905(f905(f904(x45661,x45663),a894),a894),x45663),f320(f904(x45661,x45663)))),f243(x45661,x45663)))),x45664))))),f318(f318(f7(x45662,f905(f904(x45663,x45662),a894),f905(x45663,a894)),f318(f318(f8(f905(x45663,f905(f905(f904(x45663,x45662),a894),a894)),f905(f905(f904(x45663,x45662),a894),f905(x45663,a894)),x45662),f7(x45663,f905(f904(x45663,x45662),a894),a894)),f318(f318(f8(f905(x45663,f904(x45663,x45662)),f905(x45663,f905(f905(f904(x45663,x45662),a894),a894)),x45662),f318(f8(f904(x45663,x45662),f905(f905(f904(x45663,x45662),a894),a894),x45663),f320(f904(x45663,x45662)))),f318(f7(x45663,x45662,f904(x45663,x45662)),f243(x45663,x45662))))),x45665))))),f318(f318(f280(x45661,x45663,x45662),x45664),x45665))
% 182.20/182.06 [4184]E(f215(x41841,x41842,x41843,x41844,f211(x41841,x41842,x41845,x41846)),f318(f318(x41844,x41845),x41846))
% 182.20/182.06 [4185]E(f216(x41851,x41852,x41853,x41854,f211(x41851,x41852,x41855,x41856)),f318(f318(x41854,x41855),x41856))
% 182.20/182.06 [4310]E(f118(x43101,x43102,x43103,x43104,f117(x43102,x43105,x43106)),f318(f318(f318(x43104,x43105),x43106),f118(x43101,x43102,x43103,x43104,x43106)))
% 182.20/182.06 [4329]E(f69(x43291,x43292,f69(x43291,x43292,x43293,x43294,x43295),x43294,x43296),f69(x43291,x43292,x43293,x43294,x43296))
% 182.20/182.06 [4437]E(f318(f67(f904(x44371,x44372),x44372,f904(x44373,x44374),f247(x44371,x44372)),f249(x44373,x44371,x44374,x44372,x44375,x44376)),f318(f67(x44374,x44372,f904(x44373,x44374),x44376),f247(x44373,x44374)))
% 182.20/182.06 [4438]E(f318(f67(f904(x44381,x44382),x44381,f904(x44383,x44384),f242(x44381,x44382)),f249(x44383,x44381,x44384,x44382,x44385,x44386)),f318(f67(x44383,x44381,f904(x44383,x44384),x44385),f242(x44383,x44384)))
% 182.20/182.06 [4054]E(f318(f318(f67(x40541,x40542,x40543,x40544),x40545),x40546),f318(x40544,f318(x40545,x40546)))
% 182.20/182.06 [4194]E(f214(x41941,f904(x41942,f900(x41942)),x41943,f318(f248(x41942,f900(x41942),x41941),x41944),f318(f126(x41942),f117(x41942,x41945,x41946))),f318(f318(x41944,x41945),x41946))
% 182.20/182.06 [4244]E(f217(x42441,x42442,x42443,x42444,f211(x42441,x42442,x42445,x42446)),f318(f318(f75(a898),f318(f318(f75(a898),f318(x42443,x42445)),f318(x42444,x42446))),f318(a103,f2(a898))))
% 182.20/182.06 [3855]E(f318(f318(f248(x38551,x38552,x38553),x38554),f318(f318(f243(x38551,x38552),x38555),x38556)),f318(f318(x38554,x38555),x38556))
% 182.20/182.06 [3915]E(f318(f318(f318(f8(x39151,x39152,x39153),x39154),x39155),x39156),f318(x39154,f318(x39155,x39156)))
% 182.20/182.06 [3916]E(f318(f318(f318(f7(x39161,x39162,x39163),x39164),x39165),x39166),f318(f318(x39164,x39166),x39165))
% 182.20/182.06 [3932]E(f318(f318(f318(f18(x39321,x39322,x39323),x39324),x39325),x39326),f318(f318(x39324,x39326),f318(x39325,x39326)))
% 182.20/182.06 [3955]E(f318(f147(x39551,x39552,x39553,x39554),f318(f318(f142(x39552),x39555),x39556)),f318(f318(x39554,x39555),x39556))
% 182.20/182.06 [3991]E(f160(f904(x39911,x39912),f318(f318(f224(a898),x39913),x39914),f318(f318(f243(x39911,x39912),x39915),x39916)),f318(f318(f172(x39911,x39912),f160(x39911,x39913,x39915)),f160(x39912,x39914,x39916)))
% 182.20/182.06 [4058]E(f318(f318(f142(f904(x40581,x40582)),f318(f318(f243(x40581,x40582),x40583),x40584)),f318(f318(f172(x40581,x40582),x40585),x40586)),f318(f318(f172(x40581,x40582),f318(f318(f142(x40581),x40583),x40585)),f318(f318(f142(x40582),x40584),x40586)))
% 182.20/182.06 [4060]E(f318(f318(f145(x40601,x40602),x40603),f318(f318(f150(x40601,x40604),x40605),x40606)),f318(f318(f150(x40602,f318(f318(f145(x40601,x40602),x40603),x40604)),x40605),f318(x40603,x40606)))
% 182.20/182.06 [4084]E(f318(f318(f246(x40841,x40842,x40843,x40844),x40845),x40846),f318(x40844,f318(f318(f243(x40841,x40842),x40845),x40846)))
% 182.20/182.06 [4101]E(f318(f133(x41011,x41012,x41013,x41014),f318(f318(f142(x41012),x41015),x41016)),f318(f133(x41011,x41012,x41013,f318(f318(x41013,x41014),x41015)),x41016))
% 182.20/182.06 [4127]E(f251(x41271,x41272,x41273,x41274,f318(f318(f243(x41271,x41272),x41275),x41276)),f318(f318(x41274,x41275),x41276))
% 182.20/182.06 [4208]E(f318(f318(f34(x42081,f905(x42082,a894)),x42083),f318(f67(x42084,f905(x42082,a894),x42081,x42085),x42086)),f318(f318(f34(x42084,f905(x42082,a894)),f318(f301(x42081,x42084,x42086),x42083)),x42085))
% 182.20/182.06 [4258]E(f318(f318(f145(x42581,x42582),x42583),f318(f318(f145(x42584,x42581),x42585),x42586)),f318(f318(f145(x42584,x42582),f318(f67(x42581,x42582,x42584,x42583),x42585)),x42586))
% 182.20/182.06 [4264]E(f318(f301(x42641,x42642,f318(f67(x42643,x42642,x42641,x42644),x42645)),x42646),f318(f301(x42643,x42642,x42644),f318(f301(x42641,x42643,x42645),x42646)))
% 182.20/182.06 [4265]E(f318(f302(x42651,x42652,f318(f67(x42653,x42652,x42651,x42654),x42655)),x42656),f318(f302(x42651,x42653,x42655),f318(f302(x42653,x42652,x42654),x42656)))
% 182.20/182.06 [4293]E(f318(f133(x42931,x42932,x42933,f318(f133(x42931,x42932,x42933,x42934),x42935)),x42936),f318(f133(x42931,x42932,x42933,x42934),f318(f318(f125(x42932),x42935),x42936)))
% 182.20/182.06 [4427]E(f318(f249(x44271,x44271,x44272,x44273,f25(x44271),x44274),f318(f318(f243(x44271,x44272),x44275),x44276)),f318(f318(f243(x44271,x44273),x44275),f318(x44274,x44276)))
% 182.20/182.06 [4428]E(f318(f249(x44281,x44282,x44283,x44283,x44284,f25(x44283)),f318(f318(f243(x44281,x44283),x44285),x44286)),f318(f318(f243(x44282,x44283),f318(x44284,x44285)),x44286))
% 182.20/182.06 [4516]E(f318(f318(f145(f904(x45161,x45162),f904(x45161,x45163)),f318(f248(x45161,x45162,f904(x45161,x45163)),f318(f318(f7(x45161,f905(x45162,x45163),f905(x45162,f904(x45161,x45163))),f318(f318(f8(f905(x45163,f904(x45161,x45163)),f905(f905(x45162,x45163),f905(x45162,f904(x45161,x45163))),x45161),f8(x45163,f904(x45161,x45163),x45162)),f243(x45161,x45163))),x45164))),f318(f318(f172(x45161,x45162),x45165),x45166)),f318(f318(f172(x45161,x45163),x45165),f318(f318(f145(x45162,x45163),x45164),x45166)))
% 182.20/182.06 [4111]E(f318(f318(f67(x41111,x41112,x41113,f318(f16(x41112,x41111),x41114)),x41115),x41116),x41114)
% 182.20/182.06 [4143]E(f318(f301(x41431,x41432,x41433),f318(f301(x41434,x41431,x41435),x41436)),f318(f301(x41434,x41432,f318(f318(f8(x41431,x41432,x41434),x41433),x41435)),x41436))
% 182.20/182.06 [4149]E(f318(f318(f34(x41491,f905(x41492,a894)),f318(f301(x41493,x41491,x41494),x41495)),x41496),f318(f318(f34(x41493,f905(x41492,a894)),x41495),f318(f318(f8(x41491,f905(x41492,a894),x41493),x41496),x41494)))
% 182.20/182.06 [4150]E(f318(f318(f35(x41501,f905(x41502,a894)),f318(f301(x41503,x41501,x41504),x41505)),x41506),f318(f318(f35(x41503,f905(x41502,a894)),x41505),f318(f318(f8(x41501,f905(x41502,a894),x41503),x41506),x41504)))
% 182.20/182.06 [4151]E(f318(f318(f34(x41511,f905(x41512,a894)),x41513),f318(f318(f8(x41514,f905(x41512,a894),x41511),x41515),x41516)),f318(f318(f34(x41514,f905(x41512,a894)),f318(f301(x41511,x41514,x41516),x41513)),x41515))
% 182.20/182.06 [4152]E(f318(f318(f35(x41521,f905(x41522,a894)),x41523),f318(f318(f8(x41524,f905(x41522,a894),x41521),x41525),x41526)),f318(f318(f35(x41524,f905(x41522,a894)),f318(f301(x41521,x41524,x41526),x41523)),x41525))
% 182.20/182.06 [4210]E(f318(f318(f34(x42101,f905(x42102,a894)),x42103),f318(f318(f8(f905(x42104,a894),f905(x42102,a894),x42101),f301(x42104,x42102,x42105)),x42106)),f318(f301(x42104,x42102,x42105),f318(f318(f34(x42101,f905(x42104,a894)),x42103),x42106)))
% 182.20/182.06 [4211]E(f318(f318(f34(x42111,f905(x42112,a894)),x42113),f318(f318(f8(f905(x42114,a894),f905(x42112,a894),x42111),f276(x42114,x42112,x42115)),x42116)),f318(f276(x42114,x42112,x42115),f318(f318(f34(x42111,f905(x42114,a894)),x42113),x42116)))
% 182.20/182.06 [4212]E(f318(f318(f34(x42121,f905(x42122,a894)),x42123),f318(f318(f8(f905(x42124,a894),f905(x42122,a894),x42121),f302(x42122,x42124,x42125)),x42126)),f318(f302(x42122,x42124,x42125),f318(f318(f34(x42121,f905(x42124,a894)),x42123),x42126)))
% 182.20/182.06 [4213]E(f318(f318(f35(x42131,f905(x42132,a894)),x42133),f318(f318(f8(f905(x42134,a894),f905(x42132,a894),x42131),f302(x42132,x42134,x42135)),x42136)),f318(f302(x42132,x42134,x42135),f318(f318(f35(x42131,f905(x42134,a894)),x42133),x42136)))
% 182.20/182.06 [4298]E(f318(f133(x42981,x42982,f318(f7(x42982,x42981,x42981),x42983),x42984),f318(f159(x42982),f318(f318(f142(x42982),x42985),x42986))),f318(f318(x42983,x42985),f318(f133(x42981,x42982,f318(f7(x42982,x42981,x42981),x42983),x42984),f318(f159(x42982),x42986))))
% 182.20/182.06 [4356]E(f318(f318(f18(f904(x43561,x43562),x43562,x43563),f318(f318(f8(x43564,f905(x43562,x43563),f904(x43561,x43562)),x43565),f318(f318(f8(x43561,x43564,f904(x43561,x43562)),x43566),f242(x43561,x43562)))),f247(x43561,x43562)),f318(f248(x43561,x43562,x43563),f318(f318(f8(x43564,f905(x43562,x43563),x43561),x43565),x43566)))
% 182.20/182.06 [4363]E(f318(f133(x43631,x43632,f318(f7(x43632,x43631,x43631),x43633),f318(f133(x43631,x43632,f318(f7(x43632,x43631,x43631),x43633),x43634),f318(f159(x43632),x43635))),f318(f159(x43632),x43636)),f318(f133(x43631,x43632,f318(f7(x43632,x43631,x43631),x43633),x43634),f318(f159(x43632),f318(f318(f125(x43632),x43636),x43635))))
% 182.20/182.06 [4365]E(f318(f318(f145(f904(x43651,x43652),f904(x43653,x43652)),f318(f248(x43651,x43652,f904(x43653,x43652)),f318(f318(f8(x43653,f905(x43652,f904(x43653,x43652)),x43651),f243(x43653,x43652)),x43654))),f318(f318(f172(x43651,x43652),x43655),x43656)),f318(f318(f172(x43653,x43652),f318(f318(f145(x43651,x43653),x43654),x43655)),x43656))
% 182.20/182.06 [4410]P1(f318(f318(f226(f905(x44101,a894)),f318(f276(x44102,x44101,x44103),f318(f318(f35(x44104,f905(x44102,a894)),x44105),x44106))),f318(f318(f35(x44104,f905(x44101,a894)),x44105),f318(f318(f8(f905(x44102,a894),f905(x44101,a894),x44104),f276(x44102,x44101,x44103)),x44106))))
% 182.20/182.06 [4223]E(f318(f318(f172(x42231,x42232),f318(f318(f150(x42231,x42233),x42234),f318(f242(x42231,x42232),x42235))),f318(f318(f150(x42232,x42236),x42234),f318(f247(x42231,x42232),x42235))),f318(f318(f150(f904(x42231,x42232),f318(f318(f172(x42231,x42232),x42233),x42236)),x42234),x42235))
% 182.20/182.06 [4281]E(f318(f318(f101(f905(f904(x42811,x42812),a894)),f318(f318(f280(x42811,x42813,x42812),x42814),x42815)),f318(f318(f280(x42811,x42813,x42812),x42814),x42816)),f318(f318(f280(x42811,x42813,x42812),x42814),f318(f318(f101(f905(f904(x42813,x42812),a894)),x42815),x42816)))
% 182.20/182.06 [4375]E(f318(f318(f300(f904(x43751,x43752)),f318(f318(f243(x43751,x43752),x43753),x43754)),f318(f318(f101(f905(f904(x43751,x43752),a894)),f318(f318(f245(x43751,x43752),x43755),f318(f16(f905(x43752,a894),x43751),f318(f318(f300(x43752),x43754),x43756)))),f318(f318(f245(x43751,x43752),f318(f318(f300(x43751),x43753),x43755)),f318(f16(f905(x43752,a894),x43751),x43756)))),f318(f318(f245(x43751,x43752),f318(f318(f300(x43751),x43753),x43755)),f318(f16(f905(x43752,a894),x43751),f318(f318(f300(x43752),x43754),x43756))))
% 182.20/182.06 [4454]E(f318(f318(f92(f905(x44541,a894)),f318(f302(x44541,x44542,f318(f67(f904(x44542,x44543),x44542,x44541,f242(x44542,x44543)),x44544)),x44545)),f318(f302(x44541,x44543,f318(f67(f904(x44542,x44543),x44543,x44541,f247(x44542,x44543)),x44544)),x44546)),f318(f302(x44541,f904(x44542,x44543),x44544),f318(f318(f245(x44542,x44543),x44545),f318(f16(f905(x44543,a894),x44542),x44546))))
% 182.20/182.06 [4304]E(f318(f318(f101(f905(f904(x43041,x43042),a894)),f318(f318(f280(x43041,x43043,x43042),x43044),x43045)),f318(f318(f280(x43041,x43043,x43042),x43046),x43045)),f318(f318(f280(x43041,x43043,x43042),f318(f318(f101(f905(f904(x43041,x43043),a894)),x43044),x43046)),x43045))
% 182.20/182.06 [4435]E(f318(f318(f34(x44351,f905(x44352,a894)),x44353),f318(f318(f7(x44351,f905(x44354,f905(x44352,a894)),f905(x44352,a894)),f318(f318(f8(f905(x44354,a894),f905(f905(x44354,f905(x44352,a894)),f905(x44352,a894)),x44351),f34(x44354,f905(x44352,a894))),x44355)),x44356)),f318(f318(f34(x44354,f905(x44352,a894)),f318(f318(f34(x44351,f905(x44354,a894)),x44353),x44355)),x44356))
% 182.20/182.06 [4436]E(f318(f318(f35(x44361,f905(x44362,a894)),x44363),f318(f318(f7(x44361,f905(x44364,f905(x44362,a894)),f905(x44362,a894)),f318(f318(f8(f905(x44364,a894),f905(f905(x44364,f905(x44362,a894)),f905(x44362,a894)),x44361),f35(x44364,f905(x44362,a894))),x44365)),x44366)),f318(f318(f35(x44364,f905(x44362,a894)),f318(f318(f34(x44361,f905(x44364,a894)),x44363),x44365)),x44366))
% 182.20/182.06 [4488]E(f318(f248(x44881,x44882,f904(x44883,x44884)),f318(f318(f7(x44881,f905(x44882,x44884),f905(x44882,f904(x44883,x44884))),f318(f318(f8(f905(x44884,f904(x44883,x44884)),f905(f905(x44882,x44884),f905(x44882,f904(x44883,x44884))),x44881),f8(x44884,f904(x44883,x44884),x44882)),f318(f318(f8(x44883,f905(x44884,f904(x44883,x44884)),x44881),f243(x44883,x44884)),x44885))),x44886)),f249(x44881,x44883,x44882,x44884,x44885,x44886))
% 182.20/182.06 [4511]E(f318(f301(x45111,x45112,f318(f318(f18(x45111,x45112,x45112),f318(f318(f18(x45111,x45112,f905(x45112,x45112)),f318(f318(f8(a894,f905(x45112,f905(x45112,x45112)),x45111),f87(x45112)),x45113)),x45114)),x45115)),x45116),f318(f318(f101(f905(x45112,a894)),f318(f301(x45111,x45112,x45114),f318(f318(f92(f905(x45111,a894)),x45116),f318(f253(x45111),x45113)))),f318(f301(x45111,x45112,x45115),f318(f318(f92(f905(x45111,a894)),x45116),f318(f253(x45111),f318(f318(f8(a894,a894,x45111),a313),x45113))))))
% 182.20/182.06 [4523]E(f318(f301(x45231,f904(x45232,x45233),f318(f318(f18(x45231,x45233,f904(x45232,x45233)),f318(f318(f8(x45232,f905(x45233,f904(x45232,x45233)),x45231),f243(x45232,x45233)),x45234)),x45235)),x45236),f318(f318(f245(x45232,x45233),f318(f301(x45231,x45232,x45234),x45236)),f318(f318(f8(f905(x45231,a894),f905(x45233,a894),x45232),f301(x45231,x45233,x45235)),f318(f318(f7(x45232,f905(x45231,a894),f905(x45231,a894)),f318(f318(f8(f905(x45231,a894),f905(f905(x45231,a894),f905(x45231,a894)),x45232),f92(f905(x45231,a894))),f318(f318(f8(f905(x45232,a894),f905(x45231,a894),x45232),f302(x45231,x45232,x45234)),f318(f318(f7(x45232,f905(x45232,a894),f905(x45232,a894)),f300(x45232)),f179(f905(x45232,a894)))))),x45236))))
% 182.20/182.06 [4548]E(f237(x45481,x45482,x45483,x45484,x45485,x45486),f318(x45484,f318(f253(x45481),f318(f318(f8(f905(f905(x45483,x45481),a894),a894,x45481),f82(f905(x45483,x45481))),f318(f318(f8(f905(f905(x45483,x45481),a894),f905(f905(x45483,x45481),a894),x45481),f318(f18(f905(x45483,x45481),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x45483,x45481)),a316),f318(f318(f7(f905(x45483,x45481),f905(f905(x45483,x45481),a894),a894),f320(f905(x45483,x45481))),x45485)))),f318(f318(f7(x45481,f905(f905(x45483,x45481),x45481),f905(f905(x45483,x45481),a894)),f318(f318(f8(f905(x45481,a894),f905(f905(f905(x45483,x45481),x45481),f905(f905(x45483,x45481),a894)),x45481),f8(x45481,a894,f905(x45483,x45481))),a315)),f318(f318(f7(f905(x45483,x45481),x45483,x45481),f5(f905(x45483,x45481))),x45486)))))))
% 182.20/182.06 [4337]E(f318(f67(x43371,x43372,x43373,x43374),f69(x43373,x43371,x43375,x43376,x43377)),f69(x43373,x43372,f318(f67(x43371,x43372,x43373,x43374),x43375),x43376,f318(x43374,x43377)))
% 182.20/182.06 [4471]E(f318(f247(x44711,x44712),f318(f249(x44713,x44711,x44714,x44712,x44715,x44716),x44717)),f318(x44716,f318(f247(x44713,x44714),x44717)))
% 182.20/182.06 [4472]E(f318(f242(x44721,x44722),f318(f249(x44723,x44721,x44724,x44722,x44725,x44726),x44727)),f318(x44725,f318(f242(x44723,x44724),x44727)))
% 182.20/182.06 [4186]E(f318(f318(f172(x41861,x41862),f318(f318(f150(x41861,x41863),x41864),x41865)),f318(f318(f150(x41862,x41866),x41864),x41867)),f318(f318(f150(f904(x41861,x41862),f318(f318(f172(x41861,x41862),x41863),x41866)),x41864),f318(f318(f243(x41861,x41862),x41865),x41867)))
% 182.20/182.06 [4253]E(f318(f318(f318(f250(x42531,x42532,x42533,x42534),x42535),x42536),x42537),f318(f318(f248(x42532,x42533,x42534),x42536),f318(x42535,x42537)))
% 182.20/182.06 [4263]E(f318(f318(f318(f250(x42631,x42632,x42633,x42634),x42635),x42636),x42637),f318(f318(x42636,f318(f242(x42632,x42633),f318(x42635,x42637))),f318(f247(x42632,x42633),f318(x42635,x42637))))
% 182.20/182.06 [4315]E(f318(f67(x43151,x43152,x43153,x43154),f318(f67(x43155,x43151,x43153,x43156),x43157)),f318(f67(x43155,x43152,x43153,f318(f67(x43151,x43152,x43155,x43154),x43156)),x43157))
% 182.20/182.06 [4492]E(f318(f249(x44921,x44922,x44923,x44923,x44924,f25(x44923)),f318(f249(x44921,x44921,x44925,x44923,f25(x44921),x44926),x44927)),f318(f318(f243(x44922,x44923),f318(x44924,f318(f242(x44921,x44925),x44927))),f318(x44926,f318(f247(x44921,x44925),x44927))))
% 182.20/182.06 [4493]E(f318(f249(x44931,x44931,x44932,x44933,f25(x44931),x44934),f318(f249(x44935,x44931,x44932,x44932,x44936,f25(x44932)),x44937)),f318(f318(f243(x44931,x44933),f318(x44936,f318(f242(x44935,x44932),x44937))),f318(x44934,f318(f247(x44935,x44932),x44937))))
% 182.20/182.06 [4509]E(f318(f249(x45091,x45092,x45093,x45093,x45094,f25(x45093)),f318(f249(x45095,x45091,x45093,x45093,x45096,f25(x45093)),x45097)),f318(f249(x45095,x45092,x45093,x45093,f318(f67(x45091,x45092,x45095,x45094),x45096),f25(x45093)),x45097))
% 182.20/182.06 [4510]E(f318(f249(x45101,x45101,x45102,x45103,f25(x45101),x45104),f318(f249(x45101,x45101,x45105,x45102,f25(x45101),x45106),x45107)),f318(f249(x45101,x45101,x45105,x45103,f25(x45101),f318(f67(x45102,x45103,x45105,x45104),x45106)),x45107))
% 182.20/182.06 [4520]E(f318(f249(x45201,x45202,x45203,x45203,x45204,f25(x45203)),f318(f249(x45201,x45201,x45205,x45203,f25(x45201),x45206),x45207)),f318(f249(x45202,x45202,x45205,x45203,f25(x45202),x45206),f318(f249(x45201,x45202,x45205,x45205,x45204,f25(x45205)),x45207)))
% 182.20/182.06 [4220]E(f318(f318(f280(x42201,x42202,x42203),f318(f318(f280(x42201,x42204,x42202),x42205),x42206)),x42207),f318(f318(f280(x42201,x42204,x42203),x42205),f318(f318(f280(x42204,x42202,x42203),x42206),x42207)))
% 182.20/182.06 [4287]E(f318(f318(f248(x42871,x42872,x42873),f318(f67(x42874,f905(x42872,x42873),x42871,x42875),x42876)),x42877),f318(f318(x42875,f318(x42876,f318(f242(x42871,x42872),x42877))),f318(f247(x42871,x42872),x42877)))
% 182.20/182.06 [4368]E(f318(f133(x43681,x43682,f318(f7(x43682,x43681,x43681),x43683),x43684),f318(f159(x43682),f318(f318(f145(x43685,x43682),x43686),x43687))),f318(f133(x43681,x43685,f318(f7(x43685,x43681,x43681),f318(f67(x43682,f905(x43681,x43681),x43685,x43683),x43686)),x43684),f318(f159(x43685),x43687)))
% 182.20/182.06 [4316]E(f318(f318(f34(x43161,f905(f904(x43162,x43163),a894)),x43164),f318(f318(f8(f905(f904(x43165,x43163),a894),f905(f904(x43162,x43163),a894),x43161),f318(f280(x43162,x43165,x43163),x43166)),x43167)),f318(f318(f280(x43162,x43165,x43163),x43166),f318(f318(f34(x43161,f905(f904(x43165,x43163),a894)),x43164),x43167)))
% 182.20/182.06 [4459]E(f318(f318(f34(x44591,f905(f904(x44592,x44593),a894)),x44594),f318(f318(f7(x44591,f905(f904(x44595,x44593),a894),f905(f904(x44592,x44593),a894)),f318(f318(f8(f905(f904(x44592,x44595),a894),f905(f905(f904(x44595,x44593),a894),f905(f904(x44592,x44593),a894)),x44591),f280(x44592,x44595,x44593)),x44596)),x44597)),f318(f318(f280(x44592,x44595,x44593),f318(f318(f34(x44591,f905(f904(x44592,x44595),a894)),x44594),x44596)),x44597))
% 182.20/182.06 [4460]E(f318(f133(x44601,x44602,f318(f318(f7(x44601,f905(x44602,x44603),f905(x44602,x44601)),f318(f318(f8(f905(x44603,x44601),f905(f905(x44602,x44603),f905(x44602,x44601)),x44601),f8(x44603,x44601,x44602)),x44604)),x44605),x44606),x44607),f318(f133(x44601,x44603,x44604,x44606),f318(f318(f145(x44602,x44603),x44605),x44607)))
% 182.20/182.06 [4521]E(f318(f318(f34(x45211,f905(x45212,a894)),x45213),f318(f318(f8(f905(x45214,f905(x45212,a894)),f905(x45212,a894),x45211),f318(f34(x45214,f905(x45212,a894)),x45215)),f318(f318(f7(x45211,f905(x45214,f905(x45212,a894)),f905(x45214,f905(x45212,a894))),f318(f318(f8(f905(f905(x45212,a894),f905(x45212,a894)),f905(f905(x45214,f905(x45212,a894)),f905(x45214,f905(x45212,a894))),x45211),f8(f905(x45212,a894),f905(x45212,a894),x45214)),f318(f318(f8(f905(x45212,a894),f905(f905(x45212,a894),f905(x45212,a894)),x45211),f92(f905(x45212,a894))),x45216))),x45217))),f318(f318(f92(f905(x45212,a894)),f318(f318(f34(x45211,f905(x45212,a894)),x45213),x45216)),f318(f318(f34(x45214,f905(x45212,a894)),x45215),x45217)))
% 182.20/182.06 [4522]E(f318(f318(f35(x45221,f905(x45222,a894)),x45223),f318(f318(f8(f905(x45224,f905(x45222,a894)),f905(x45222,a894),x45221),f318(f35(x45224,f905(x45222,a894)),x45225)),f318(f318(f7(x45221,f905(x45224,f905(x45222,a894)),f905(x45224,f905(x45222,a894))),f318(f318(f8(f905(f905(x45222,a894),f905(x45222,a894)),f905(f905(x45224,f905(x45222,a894)),f905(x45224,f905(x45222,a894))),x45221),f8(f905(x45222,a894),f905(x45222,a894),x45224)),f318(f318(f8(f905(x45222,a894),f905(f905(x45222,a894),f905(x45222,a894)),x45221),f101(f905(x45222,a894))),x45226))),x45227))),f318(f318(f101(f905(x45222,a894)),f318(f318(f35(x45221,f905(x45222,a894)),x45223),x45226)),f318(f318(f35(x45224,f905(x45222,a894)),x45225),x45227)))
% 182.20/182.06 [4514]E(f188(x45141,x45142,f318(f318(f318(x45143,x45144),x45145),x45146),f318(f318(f7(x45141,f904(a90,a90),f905(a90,f900(x45142))),f318(f318(f7(x45141,a90,f905(f904(a90,a90),f905(a90,f900(x45142)))),f318(f318(f7(x45141,a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(x45142))))),x45147),x45144)),x45145)),x45146)),f318(f318(f318(f200(x45141,x45142,x45143,x45147),x45144),x45145),x45146))
% 182.20/182.06 [4528]E(f189(x45281,x45282,f318(f318(f318(x45283,x45284),x45285),x45286),f318(f318(f7(x45281,f904(a90,a90),f905(a90,f900(x45282))),f318(f318(f7(x45281,a90,f905(f904(a90,a90),f905(a90,f900(x45282)))),f318(f318(f7(x45281,a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(x45282))))),x45287),x45284)),x45285)),x45286)),f202(x45281,x45282,x45283,x45287,x45284,x45285,x45286))
% 182.20/182.06 [4519]E(f186(x45191,x45192,f318(f318(f318(x45193,x45194),x45195),x45196),f318(f318(f7(x45191,f904(a90,a90),f905(a90,f900(f901(x45192)))),f318(f318(f7(x45191,a90,f905(f904(a90,a90),f905(a90,f900(f901(x45192))))),f318(f318(f7(x45191,a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(f901(x45192)))))),x45197),x45194)),x45195)),x45196)),f318(f318(f318(f196(x45191,x45192,x45193,x45197),x45194),x45195),x45196))
% 182.20/182.06 [4530]E(f187(x45301,x45302,f318(f318(f318(x45303,x45304),x45305),x45306),f318(f318(f7(x45301,f904(a90,a90),f905(a90,f900(f901(x45302)))),f318(f318(f7(x45301,a90,f905(f904(a90,a90),f905(a90,f900(f901(x45302))))),f318(f318(f7(x45301,a90,f905(a90,f905(f904(a90,a90),f905(a90,f900(f901(x45302)))))),x45307),x45304)),x45305)),x45306)),f198(x45301,x45302,x45303,x45307,x45304,x45305,x45306))
% 182.20/182.06 [4429]E(f318(f249(x44291,x44292,x44293,x44294,x44295,x44296),f318(f318(f243(x44291,x44293),x44297),x44298)),f318(f318(f243(x44292,x44294),f318(x44295,x44297)),f318(x44296,x44298)))
% 182.20/182.06 [4532]E(f318(f318(f145(f904(x45321,x45322),f904(x45323,x45324)),f318(f248(x45321,x45322,f904(x45323,x45324)),f318(f318(f7(x45321,f905(x45322,x45324),f905(x45322,f904(x45323,x45324))),f318(f318(f8(f905(x45324,f904(x45323,x45324)),f905(f905(x45322,x45324),f905(x45322,f904(x45323,x45324))),x45321),f8(x45324,f904(x45323,x45324),x45322)),f318(f318(f8(x45323,f905(x45324,f904(x45323,x45324)),x45321),f243(x45323,x45324)),x45325))),x45326))),f318(f318(f172(x45321,x45322),x45327),x45328)),f318(f318(f172(x45323,x45324),f318(f318(f145(x45321,x45323),x45325),x45327)),f318(f318(f145(x45322,x45324),x45326),x45328)))
% 182.20/182.06 [4535]E(f318(f318(f145(f904(x45351,x45352),x45353),f318(f248(x45351,x45352,x45353),f318(f318(f8(f905(x45352,f904(x45351,x45354)),f905(x45352,x45353),x45351),f318(f8(f904(x45351,x45354),x45353,x45352),x45355)),f318(f318(f7(x45351,f905(x45352,x45354),f905(x45352,f904(x45351,x45354))),f318(f318(f8(f905(x45354,f904(x45351,x45354)),f905(f905(x45352,x45354),f905(x45352,f904(x45351,x45354))),x45351),f8(x45354,f904(x45351,x45354),x45352)),f243(x45351,x45354))),x45356)))),f318(f318(f172(x45351,x45352),x45357),x45358)),f318(f318(f145(f904(x45351,x45354),x45353),x45355),f318(f318(f172(x45351,x45354),x45357),f318(f318(f145(x45352,x45354),x45356),x45358))))
% 182.20/182.06 [4463]E(f318(f318(f145(f904(x44631,x44632),x44633),f318(f248(x44631,x44632,x44633),f318(f318(f8(f905(x44632,f904(x44634,x44632)),f905(x44632,x44633),x44631),f318(f8(f904(x44634,x44632),x44633,x44632),x44635)),f318(f318(f8(x44634,f905(x44632,f904(x44634,x44632)),x44631),f243(x44634,x44632)),x44636)))),f318(f318(f172(x44631,x44632),x44637),x44638)),f318(f318(f145(f904(x44634,x44632),x44633),x44635),f318(f318(f172(x44634,x44632),f318(f318(f145(x44631,x44634),x44636),x44637)),x44638)))
% 182.20/182.06 [4420]E(f318(f318(f248(x44201,x44202,x44203),f318(f318(f8(f905(x44202,f904(x44204,x44205)),f905(x44202,x44203),x44201),f318(f8(f904(x44204,x44205),x44203,x44202),f318(f248(x44204,x44205,x44203),x44206))),x44207)),x44208),f318(f318(f248(x44204,x44205,x44203),x44206),f318(f318(f248(x44201,x44202,f904(x44204,x44205)),x44207),x44208)))
% 182.20/182.06 [4536]E(f318(f318(f34(f904(x45361,x45362),f905(f904(x45363,x45364),a894)),f318(f318(f245(x45361,x45362),x45365),f318(f16(f905(x45362,a894),x45361),x45366))),f318(f248(x45361,x45362,f905(f904(x45363,x45364),a894)),f318(f318(f7(x45361,f905(x45362,f905(x45363,f905(x45364,a894))),f905(x45362,f905(f904(x45363,x45364),a894))),f318(f318(f8(f905(f905(x45363,f905(x45364,a894)),f905(f904(x45363,x45364),a894)),f905(f905(x45362,f905(x45363,f905(x45364,a894))),f905(x45362,f905(f904(x45363,x45364),a894))),x45361),f8(f905(x45363,f905(x45364,a894)),f905(f904(x45363,x45364),a894),x45362)),f318(f318(f8(f905(x45363,a894),f905(f905(x45363,f905(x45364,a894)),f905(f904(x45363,x45364),a894)),x45361),f245(x45363,x45364)),x45367))),f318(f318(f8(f905(x45364,a894),f905(x45363,f905(x45364,a894)),x45362),f16(f905(x45364,a894),x45363)),x45368)))),f318(f318(f245(x45363,x45364),f318(f318(f34(x45361,f905(x45363,a894)),x45365),x45367)),f318(f16(f905(x45364,a894),x45363),f318(f318(f34(x45362,f905(x45364,a894)),x45366),x45368))))
% 182.20/182.06 [4477]E(f318(f318(f250(x44771,x44772,x44773,x44774),f318(f318(f250(x44771,x44775,x44776,f904(x44772,x44773)),x44777),x44778)),x44779),f318(f318(f250(x44771,x44775,x44776,x44774),x44777),f318(f318(f7(x44775,f905(x44772,f905(x44773,x44774)),f905(x44776,x44774)),f318(f318(f8(f905(x44776,f904(x44772,x44773)),f905(f905(x44772,f905(x44773,x44774)),f905(x44776,x44774)),x44775),f250(x44776,x44772,x44773,x44774)),x44778)),x44779)))
% 182.20/182.06 [4506]E(f318(f67(f904(x45061,x45062),f904(x45063,x45064),f904(x45065,x45066),f249(x45061,x45063,x45062,x45064,x45067,x45068)),f249(x45065,x45061,x45066,x45062,x45069,x450610)),f249(x45065,x45063,x45066,x45064,f318(f67(x45061,x45063,x45065,x45067),x45069),f318(f67(x45062,x45064,x45066,x45068),x450610)))
% 182.20/182.06 [4512]E(f318(f249(x45121,x45122,x45123,x45124,x45125,x45126),f318(f249(x45127,x45121,x45128,x45123,x45129,x451210),x451211)),f318(f249(x45127,x45122,x45128,x45124,f318(f67(x45121,x45122,x45127,x45125),x45129),f318(f67(x45123,x45124,x45128,x45126),x451210)),x451211))
% 182.20/182.06 [4640]~P2(x46401)+P2(f901(x46401))
% 182.20/182.06 [4641]~P59(x46411)+P59(f901(x46411))
% 182.20/182.06 [4642]~P106(x46421)+P106(f899(x46421))
% 182.20/182.06 [4645]~P126(x46451)+~E(f73(x46451),f2(x46451))
% 182.20/182.06 [4647]~E(x46471,f2(a90))+E(f318(a22,x46471),f2(a1))
% 182.20/182.06 [4648]~E(x46481,f2(a1))+E(f77(a1,x46481),f2(a1))
% 182.20/182.06 [4654]~P144(x46541)+P27(x46541,f2(x46541))
% 182.20/182.06 [4656]~P82(x46561)+P13(x46561,f104(x46561))
% 182.20/182.06 [4665]P1(x46651)+P1(f318(a313,x46651))
% 182.20/182.06 [4719]~P144(x47191)+~P27(x47191,f73(x47191))
% 182.20/182.06 [4756]~P1(x47561)+~P1(f318(a313,x47561))
% 182.20/182.06 [4777]E(f318(a95,x47771),f2(a898))+~P1(f318(a184,x47771))
% 182.20/182.06 [4843]~P102(x48431)+P14(x48431,x48431,f92(x48431))
% 182.20/182.06 [4844]~P104(x48441)+P14(x48441,x48441,f101(x48441))
% 182.20/182.06 [4845]~P98(x48451)+P14(x48451,x48451,f76(x48451))
% 182.20/182.06 [4846]~P82(x48461)+P14(x48461,x48461,f224(x48461))
% 182.20/182.06 [4847]~P82(x48471)+P14(x48471,x48471,f225(x48471))
% 182.20/182.06 [4848]~P71(x48481)+P16(x48481,x48481,f76(x48481))
% 182.20/182.06 [4651]~E(x46511,f2(a898))+E(f318(f91(a1),x46511),f2(a1))
% 182.20/182.06 [4658]~P95(x46581)+E(f318(f94(x46581),a78),f2(x46581))
% 182.20/182.06 [4661]~E(f522(x46611),f2(a898))+E(f318(f156(a898),x46611),f2(a898))
% 182.20/182.06 [4662]~P81(x46621)+E(f228(x46621,f226(x46621)),f224(x46621))
% 182.20/182.06 [4663]~P81(x46631)+E(f229(x46631,f226(x46631)),f225(x46631))
% 182.20/182.06 [4664]~P92(x46641)+E(f77(x46641,f2(x46641)),f2(x46641))
% 182.20/182.06 [4673]~P144(x46731)+E(f318(f91(x46731),f73(a898)),f73(x46731))
% 182.20/182.06 [4674]~P144(x46741)+E(f318(f91(x46741),f2(a898)),f2(x46741))
% 182.20/182.06 [4675]~P127(x46751)+E(f318(f93(x46751),f73(a1)),f73(x46751))
% 182.20/182.06 [4676]~P127(x46761)+E(f318(f93(x46761),f2(a1)),f2(x46761))
% 182.20/182.06 [4677]E(x46771,f2(a898))+~E(f318(f91(a1),x46771),f2(a1))
% 182.20/182.06 [4713]~P110(x47131)+E(f318(f70(x47131),f73(x47131)),f73(x47131))
% 182.20/182.06 [4714]~P87(x47141)+E(f318(f70(x47141),f2(x47141)),f2(x47141))
% 182.20/182.06 [4715]~P97(x47151)+E(f318(f74(x47151),f179(x47151)),f233(x47151))
% 182.20/182.06 [4716]~P73(x47161)+E(f318(f74(x47161),f2(x47161)),f2(x47161))
% 182.20/182.06 [4717]~P97(x47171)+E(f318(f74(x47171),f233(x47171)),f179(x47171))
% 182.20/182.06 [4718]~P79(x47181)+E(f318(f156(x47181),f104(x47181)),f2(x47181))
% 182.20/182.06 [4736]~P35(x47361)+P39(f318(f163(a1),x47361))
% 182.20/182.06 [4761]~P95(x47611)+E(f318(f74(x47611),f73(x47611)),f318(f94(x47611),a88))
% 182.20/182.06 [4776]~P95(x47761)+P27(x47761,f318(f94(x47761),a78))
% 182.20/182.06 [4802]P35(x48021)+~P39(f318(f163(a1),x48021))
% 182.20/182.06 [4849]E(f318(f91(a1),f318(a95,x48491)),x48491)+P1(f318(a184,x48491))
% 182.20/182.06 [4919]~P113(x49191)+E(f236(x49191,f73(x49191),f76(x49191)),f235(x49191))
% 182.20/182.06 [4952]~P95(x49521)+~P27(x49521,f318(f94(x49521),a88))
% 182.20/182.06 [5105]E(f318(f70(a1),x51051),x51051)+P1(f318(f318(f227(a1),x51051),f2(a1)))
% 182.20/182.06 [5123]~E(f318(a95,x51231),f2(a898))+P1(f318(f318(f226(a1),x51231),f2(a1)))
% 182.20/182.06 [5189]~P1(f318(a184,x51891))+P1(f318(f318(f227(a1),x51891),f2(a1)))
% 182.20/182.06 [5229]~P127(x52291)+P1(f318(f318(f320(x52291),f73(x52291)),f100(x52291)))
% 182.20/182.06 [5230]~P144(x52301)+P1(f318(f318(f320(x52301),f73(x52301)),f177(x52301)))
% 182.20/182.06 [5231]~P127(x52311)+P1(f318(f318(f320(x52311),f2(x52311)),f100(x52311)))
% 182.20/182.06 [5232]~P144(x52321)+P1(f318(f318(f320(x52321),f2(x52321)),f177(x52321)))
% 182.20/182.06 [5233]~P109(x52331)+P1(f318(f318(f226(x52331),f2(x52331)),f73(x52331)))
% 182.20/182.06 [5234]~P109(x52341)+P1(f318(f318(f227(x52341),f2(x52341)),f73(x52341)))
% 182.20/182.06 [5286]E(x52861,f73(a898))+~P1(f318(f318(f278(a898),x52861),f73(a898)))
% 182.20/182.06 [5287]E(x52871,f2(a898))+~P1(f318(f318(f226(a898),x52871),f2(a898)))
% 182.20/182.06 [5329]E(f318(a95,x53291),f2(a898))+~P1(f318(f318(f226(a1),x53291),f2(a1)))
% 182.20/182.06 [5387]P1(f318(a184,x53871))+~P1(f318(f318(f227(a1),x53871),f2(a1)))
% 182.20/182.06 [5394]~P82(x53941)+P16(x53941,f899(x53941),f139(x53941,x53941,f5(x53941)))
% 182.20/182.06 [5412]P39(x54121)+~P1(f318(f318(f226(a1),f2(a1)),f326(x54121)))
% 182.20/182.06 [5417]E(f318(f70(a1),x54171),f318(f74(a1),x54171))+~P1(f318(f318(f227(a1),x54171),f2(a1)))
% 182.20/182.06 [5589]~P109(x55891)+~P1(f318(f318(f226(x55891),f73(x55891)),f2(x55891)))
% 182.20/182.06 [5590]~P109(x55901)+~P1(f318(f318(f227(x55901),f73(x55901)),f2(x55901)))
% 182.20/182.06 [5606]~E(x56061,f2(a898))+P1(f318(f318(f226(a1),f318(f91(a1),x56061)),f2(a1)))
% 182.20/182.06 [5607]~E(x56071,f2(a1))+P1(f318(f318(f227(a1),f318(f70(a1),x56071)),f73(a1)))
% 182.20/182.06 [5729]~P79(x57291)+E(f133(x57291,x57291,f75(x57291),f2(x57291)),f156(x57291))
% 182.20/182.06 [5912]~P105(x59121)+P24(a898,x59121,f91(x59121),f233(f905(a898,a894)))
% 182.20/182.06 [6119]E(x61191,f2(a898))+~P1(f318(f318(f226(a1),f318(f91(a1),x61191)),f2(a1)))
% 182.20/182.06 [6120]E(x61201,f2(a1))+~P1(f318(f318(f227(a1),f318(f70(a1),x61201)),f73(a1)))
% 182.20/182.06 [6942]~P1(f318(f318(f227(a1),x69421),f2(a1)))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x69421),x69421)),f2(a1)))
% 182.20/182.06 [7503]P1(f318(f318(f227(a1),x75031),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x75031),x75031)),f2(a1)))
% 182.20/182.06 [8053]E(x80531,f318(a3,f2(a898)))+P1(f318(f318(f227(a898),f318(f318(f23(a898),f318(a20,x80531)),f318(a103,f2(a898)))),f318(a20,x80531)))
% 182.20/182.06 [8820]~P1(f318(f318(f227(a1),x88201),f2(a1)))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x88201),x88201)),a88)),f2(a1)))
% 182.20/182.06 [8917]~P1(f318(f318(f227(a1),x89171),f2(a1)))+P1(f318(f318(f227(a1),f318(f318(f75(a1),f318(f318(f75(a1),f73(a1)),x89171)),x89171)),f2(a1)))
% 182.20/182.06 [9240]P1(f318(f318(f227(a1),x92401),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92401),x92401)),a88)),f2(a1)))
% 182.20/182.06 [9302]P1(f318(f318(f227(a1),x93021),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),f318(f318(f75(a1),f73(a1)),x93021)),x93021)),f2(a1)))
% 182.20/182.06 [4750]~E(a78,x47501)+E(f318(f318(f75(a1),x47501),x47501),a78)
% 182.20/182.06 [4751]~E(x47511,a78)+E(f318(f318(f75(a1),x47511),x47511),a78)
% 182.20/182.06 [4762]E(x47621,f2(a1))+E(f318(f318(f30(a1),x47621),x47621),f73(a1))
% 182.20/182.06 [4896]E(x48961,a78)+~E(f318(f318(f75(a1),x48961),x48961),a78)
% 182.20/182.06 [4897]E(a78,x48971)+~E(f318(f318(f75(a1),x48971),x48971),a78)
% 182.20/182.06 [4909]~P5(x49091)+E(f32(x49091,f179(f905(x49091,a894))),f233(x49091))
% 182.20/182.06 [4910]~P5(x49101)+E(f32(x49101,f233(f905(x49101,a894))),f179(x49101))
% 182.20/182.06 [4911]~P5(x49111)+E(f31(x49111,f179(f905(x49111,a894))),f179(x49111))
% 182.20/182.06 [4912]~P5(x49121)+E(f31(x49121,f233(f905(x49121,a894))),f233(x49121))
% 182.20/182.06 [4913]~P82(x49131)+E(f130(x49131,f179(f905(x49131,a894))),f104(x49131))
% 182.20/182.06 [5060]E(x50601,f2(a898))+P1(f318(f318(f227(a898),f2(a898)),x50601))
% 182.20/182.06 [5080]~P6(x50801)+P1(f318(f318(f226(a1),f2(a1)),x50801))
% 182.20/182.06 [5114]~E(f318(f94(a898),x51141),f2(a898))+P1(f318(f318(f226(a1),x51141),a78))
% 182.20/182.06 [5119]P39(x51191)+P1(f318(f318(f320(a1),f326(x51191)),x51191))
% 182.20/182.06 [5120]E(x51201,f318(a3,f2(a898)))+P1(f318(f318(f226(a90),f73(a90)),x51201))
% 182.20/182.06 [5161]P1(f318(a184,x51611))+P1(f318(f318(f226(a1),f2(a1)),x51611))
% 182.20/182.06 [5211]E(f318(f91(a1),f318(a95,x52111)),f2(a1))+P1(f318(f318(f226(a1),f2(a1)),x52111))
% 182.20/182.06 [5268]E(f318(f91(a1),f318(f94(a898),x52681)),f318(f94(a1),x52681))+P1(f318(a184,f318(f94(a1),x52681)))
% 182.20/182.06 [5293]E(f318(f94(a898),x52931),f2(a898))+~P1(f318(a184,f318(f94(a1),x52931)))
% 182.20/182.06 [5294]E(f318(f94(a898),x52941),f2(a898))+~P1(f318(f318(f226(a1),x52941),a78))
% 182.20/182.06 [5326]P6(x53261)+~P1(f318(f318(f226(a1),f2(a1)),x53261))
% 182.20/182.06 [5382]P148(f223(a895,f33(x53821)))+~P1(f318(f318(f320(a896),x53821),a906))
% 182.20/182.06 [5397]E(f318(a103,f541(x53971)),x53971)+~P1(f318(f318(f227(a898),f2(a898)),x53971))
% 182.20/182.06 [5406]E(f318(a103,f318(f94(a898),x54061)),f73(a898))+~P1(f318(a184,f318(f94(a1),x54061)))
% 182.20/182.06 [5413]E(f318(f91(a1),f367(x54131)),x54131)+~P1(f318(f318(f227(a1),f2(a1)),x54131))
% 182.20/182.06 [5420]~E(x54201,f318(a3,f2(a898)))+~P1(f318(f318(f226(a90),f73(a90)),x54201))
% 182.20/182.06 [5427]E(f318(f91(a1),f318(f94(a898),x54271)),f2(a1))+~P1(f318(a184,f318(f94(a1),x54271)))
% 182.20/182.06 [5453]E(f318(f156(a898),x54531),f2(a898))+P1(f318(f318(f320(a898),f522(x54531)),f318(f163(a898),x54531)))
% 182.20/182.06 [5474]E(f318(f91(a1),f318(a95,x54741)),x54741)+~P1(f318(f318(f226(a1),f2(a1)),x54741))
% 182.20/182.06 [5482]~P1(f318(a184,x54821))+~P1(f318(f318(f226(a1),f2(a1)),x54821))
% 182.20/182.06 [5582]E(f318(f318(f75(a898),f73(a898)),f318(f94(a898),x55821)),f73(a898))+~P1(f318(f318(f227(a1),x55821),a78))
% 182.20/182.06 [5648]E(x56481,f2(a898))+~P1(f318(f318(f227(a898),x56481),f318(a103,f2(a898))))
% 182.20/182.06 [5670]E(x56701,f318(a103,f2(a898)))+~P1(f318(f318(f278(a898),x56701),f318(a103,f2(a898))))
% 182.20/182.06 [5688]E(f318(f318(f23(a898),f318(f94(a898),x56881)),f73(a898)),f2(a898))+~P1(f318(f318(f226(a1),x56881),a78))
% 182.20/182.06 [5689]E(f318(f318(f75(a898),f318(f94(a898),x56891)),f73(a898)),f73(a898))+~P1(f318(f318(f227(a1),x56891),a78))
% 182.20/182.06 [5701]~P39(x57011)+E(f318(f29(a898),f318(f301(a1,a898,a95),x57011)),f318(f29(a1),x57011))
% 182.20/182.06 [5730]~P82(x57301)+E(f228(x57301,f318(f7(x57301,x57301,a894),f226(x57301))),f225(x57301))
% 182.20/182.06 [5731]~P82(x57311)+E(f229(x57311,f318(f7(x57311,x57311,a894),f226(x57311))),f224(x57311))
% 182.20/182.06 [5741]E(f40(a898,f318(a103,f2(a898)),f318(f94(a898),x57411)),f318(a103,f2(a898)))+~P1(f318(a184,f318(f94(a1),x57411)))
% 182.20/182.06 [5750]~P1(f318(f318(f227(a1),f2(a1)),x57501))+P1(f318(f318(f226(a1),f73(a1)),x57501))
% 182.20/182.06 [5751]P1(f318(f318(f227(a1),f2(a1)),x57511))+~P1(f318(f318(f226(a1),f73(a1)),x57511))
% 182.20/182.06 [5762]E(f318(a103,f318(f318(f23(a898),x57621),f73(a898))),x57621)+~P1(f318(f318(f227(a898),f2(a898)),x57621))
% 182.20/182.06 [5818]P1(f318(f318(f227(a898),f2(a898)),f367(x58181)))+~P1(f318(f318(f227(a1),f2(a1)),x58181))
% 182.20/182.06 [5879]E(f40(a1,f318(f94(a1),a88),x58791),f318(f318(f23(a1),x58791),f73(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x58791))
% 182.20/182.06 [5925]~P1(f318(f318(f227(a1),a78),x59251))+P1(f318(f318(f227(a898),f2(a898)),f318(f94(a898),x59251)))
% 182.20/182.06 [5930]E(f318(a20,f789(x59301)),x59301)+~P1(f318(f318(f320(a898),x59301),f233(f905(a898,a894))))
% 182.20/182.06 [5983]P1(f318(f318(f227(a898),f2(a898)),f318(a95,x59831)))+~P1(f318(f318(f227(a1),f2(a1)),x59831))
% 182.20/182.06 [6034]~P1(f318(f318(f227(a898),f2(a898)),x60341))+P1(f318(f318(f227(a1),f2(a1)),f318(f91(a1),x60341)))
% 182.20/182.06 [6070]~P1(f318(f318(f227(a898),f2(a898)),f318(a95,x60701)))+P1(f318(f318(f227(a1),f2(a1)),x60701))
% 182.20/182.06 [6085]~P39(x60851)+E(f318(f301(a898,a1,f91(a1)),f318(f301(a1,a898,a95),x60851)),x60851)
% 182.20/182.06 [6098]P1(f318(f318(f227(a1),a78),x60981))+~P1(f318(f318(f227(a898),f2(a898)),f318(f94(a898),x60981)))
% 182.20/182.06 [6157]P1(f318(f318(f227(a898),f2(a898)),x61571))+~P1(f318(f318(f227(a1),f2(a1)),f318(f91(a1),x61571)))
% 182.20/182.06 [6275]E(f318(f301(a898,a1,f91(a1)),f318(f273(a898),f318(a95,x62751))),f318(f293(a1,f2(a1)),x62751))+~P1(f318(f318(f226(a1),f2(a1)),x62751))
% 182.20/182.06 [6292]~P109(x62921)+P1(f318(f318(f227(x62921),f2(x62921)),f318(f318(f75(x62921),f73(x62921)),f73(x62921))))
% 182.20/182.06 [6343]P1(f318(f318(f227(a898),f318(a103,f2(a898))),f318(a95,x63431)))+~P1(f318(f318(f227(a1),f73(a1)),x63431))
% 182.20/182.06 [6445]E(x64451,f2(a1))+P1(f318(f44(f2(a1),x64451),f318(f318(f243(a1,a1),f2(a1)),f2(a1))))
% 182.20/182.06 [6619]~P1(f318(f318(f227(a898),f318(a103,f2(a898))),f318(a95,x66191)))+P1(f318(f318(f227(a1),f73(a1)),x66191))
% 182.20/182.06 [7058]~P115(x70581)+P36(x70581,f318(f253(f904(x70581,x70581)),f318(f248(x70581,x70581,a894),f227(x70581))))
% 182.20/182.06 [5635]E(f318(f94(a898),f318(f318(f23(a1),x56351),a88)),f318(a103,f318(f94(a898),x56351)))+P1(f318(a184,f318(f94(a1),x56351)))
% 182.20/182.06 [5651]~P35(x56511)+E(f318(f318(f145(a898,a1),f91(a1)),f318(f318(f145(a1,a898),a95),x56511)),x56511)
% 182.20/182.06 [5768]E(f318(f74(a1),f318(f91(a1),f318(a103,f435(x57681)))),x57681)+~P1(f318(f318(f227(a1),x57681),f2(a1)))
% 182.20/182.06 [5778]E(f318(f318(f75(a898),f73(a898)),f318(f94(a898),x57781)),f318(f94(a898),f318(f318(f23(a1),x57781),a88)))+P1(f318(f318(f227(a1),x57781),a78))
% 182.20/182.06 [5820]E(f318(f318(f30(a1),f318(f94(a1),a88)),x58201),f318(f94(a1),a88))+~P1(f318(f318(f227(a1),f2(a1)),x58201))
% 182.20/182.06 [5921]E(f318(f318(f23(a898),f318(f94(a898),x59211)),f73(a898)),f318(f94(a898),f318(f318(f75(a1),x59211),a88)))+P1(f318(f318(f226(a1),x59211),a78))
% 182.20/182.06 [5922]E(f318(f318(f75(a898),f318(f94(a898),x59221)),f73(a898)),f318(f94(a898),f318(f318(f23(a1),x59221),a88)))+P1(f318(f318(f227(a1),x59221),a78))
% 182.20/182.06 [5968]E(f318(a95,f318(f318(f75(a1),f73(a1)),x59681)),f318(a103,f318(a95,x59681)))+~P1(f318(f318(f226(a1),f2(a1)),x59681))
% 182.20/182.06 [6005]E(f318(a103,f318(f318(f23(a898),x60051),f318(a103,f2(a898)))),x60051)+~P1(f318(f318(f227(a898),f2(a898)),x60051))
% 182.20/182.06 [6224]E(f40(a898,f318(a103,f2(a898)),f318(f94(a898),x62241)),f318(a95,f40(a1,f73(a1),f318(f94(a1),x62241))))+P1(f318(a184,f318(f94(a1),x62241)))
% 182.20/182.06 [6268]~P1(f318(f318(f226(a1),a78),x62681))+P1(f318(f318(f226(a1),a78),f318(f318(f75(a1),x62681),x62681)))
% 182.20/182.06 [6269]~P1(f318(f318(f227(a1),a88),x62691))+P1(f318(f318(f226(a1),a88),f318(f318(f75(a1),x62691),x62691)))
% 182.20/182.06 [6270]~P1(f318(f318(f227(a1),a78),x62701))+P1(f318(f318(f227(a1),a78),f318(f318(f75(a1),x62701),x62701)))
% 182.20/182.06 [6271]~P1(f318(f318(f227(a1),a88),x62711))+P1(f318(f318(f227(a1),a88),f318(f318(f75(a1),x62711),x62711)))
% 182.20/182.06 [6459]~P1(f318(f28(x64591),f233(f905(x64591,a894))))+P1(f318(f28(f901(x64591)),f233(f905(f901(x64591),a894))))
% 182.20/182.06 [6546]~P1(f318(f318(f226(a1),f2(a1)),x65461))+P1(f318(f318(f227(a1),f2(a1)),f318(f318(f75(a1),f73(a1)),x65461)))
% 182.20/182.06 [6553]E(f318(f242(a1,a1),f42(f73(a1),f318(f94(a1),x65531))),f318(f318(f30(a1),f73(a1)),f318(f94(a1),x65531)))+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x65531)))
% 182.20/182.06 [6578]E(f318(f247(a1,a1),f42(f73(a1),f318(f94(a1),x65781))),f40(a1,f73(a1),f318(f94(a1),x65781)))+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x65781)))
% 182.20/182.06 [6590]P1(f318(f28(x65901),f233(f905(x65901,a894))))+~P1(f318(f28(f901(x65901)),f233(f905(f901(x65901),a894))))
% 182.20/182.06 [6620]P1(f318(f318(f226(a1),a78),x66201))+~P1(f318(f318(f226(a1),a78),f318(f318(f75(a1),x66201),x66201)))
% 182.20/182.06 [6621]P1(f318(f318(f227(a1),a78),x66211))+~P1(f318(f318(f227(a1),a78),f318(f318(f75(a1),x66211),x66211)))
% 182.20/182.06 [6622]P1(f318(f318(f227(a1),a88),x66221))+~P1(f318(f318(f226(a1),a88),f318(f318(f75(a1),x66221),x66221)))
% 182.20/182.06 [6623]P1(f318(f318(f227(a1),a88),x66231))+~P1(f318(f318(f227(a1),a88),f318(f318(f75(a1),x66231),x66231)))
% 182.20/182.06 [6946]~P1(f318(f28(x69461),f233(f905(x69461,a894))))+P1(f318(f318(f227(a898),f2(a898)),f318(f29(x69461),f233(f905(x69461,a894)))))
% 182.20/182.06 [7541]P1(f318(f28(a898),x75411))+~P1(f318(f28(a1),f318(f301(a898,a1,f91(a1)),x75411)))
% 182.20/182.06 [5558]~E(a88,x55581)+E(f318(f318(f23(a1),f318(f318(f75(a1),x55581),x55581)),a88),a88)
% 182.20/182.06 [5559]~E(x55591,a88)+E(f318(f318(f23(a1),f318(f318(f75(a1),x55591),x55591)),a88),a88)
% 182.20/182.06 [6093]E(x60931,a88)+~E(f318(f318(f23(a1),f318(f318(f75(a1),x60931),x60931)),a88),a88)
% 182.20/182.06 [6094]E(a88,x60941)+~E(f318(f318(f23(a1),f318(f318(f75(a1),x60941),x60941)),a88),a88)
% 182.20/182.06 [6515]~E(f318(f94(a898),x65151),f2(a898))+P1(f318(a184,f318(f94(a1),f318(f318(f75(a1),x65151),a88))))
% 182.20/182.06 [6876]~P1(f318(a184,f318(f94(a1),x68761)))+P1(f318(a184,f318(f94(a1),f318(f318(f75(a1),x68761),x68761))))
% 182.20/182.06 [6877]~P1(f318(f318(f226(a1),x68771),a78))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x68771),x68771)),a78))
% 182.20/182.06 [6878]~P1(f318(f318(f226(a1),x68781),a88))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x68781),x68781)),a88))
% 182.20/182.06 [6879]~P1(f318(f318(f227(a1),x68791),a78))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x68791),x68791)),a78))
% 182.20/182.06 [6880]~P1(f318(f318(f226(a1),x68801),a88))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x68801),x68801)),a88))
% 182.20/182.06 [7204]E(f318(f94(a898),x72041),f2(a898))+~P1(f318(a184,f318(f94(a1),f318(f318(f75(a1),x72041),a88))))
% 182.20/182.06 [7456]~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x74561)))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),f318(f318(f75(a1),x74561),x74561))))
% 182.20/182.06 [7457]P1(f318(a184,f318(f94(a1),x74571)))+~P1(f318(a184,f318(f94(a1),f318(f318(f75(a1),x74571),x74571))))
% 182.20/182.06 [7458]P1(f318(f318(f226(a1),x74581),a78))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x74581),x74581)),a78))
% 182.20/182.06 [7459]P1(f318(f318(f226(a1),x74591),a88))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x74591),x74591)),a88))
% 182.20/182.06 [7460]P1(f318(f318(f226(a1),x74601),a88))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x74601),x74601)),a88))
% 182.20/182.06 [7461]P1(f318(f318(f227(a1),x74611),a78))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x74611),x74611)),a78))
% 182.20/182.06 [7822]E(f318(a97,f515(x78221)),x78221)+~P1(f318(f318(f320(f905(f904(a898,a898),a894)),x78221),a89))
% 182.20/182.06 [6432]~P95(x64321)+E(f318(f94(x64321),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f73(x64321))
% 182.20/182.06 [6926]~P1(f318(a184,f318(f94(a1),x69261)))+E(f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x69261),x69261)),a88)),f2(a898))
% 182.20/182.06 [7998]~P1(f318(f318(f227(a1),f318(f94(a1),x79981)),f2(a1)))+E(f318(f242(a1,a1),f318(a46,f45(f318(f74(a1),f73(a1)),f318(f74(a1),f318(f94(a1),x79981))))),f318(f318(f30(a1),f73(a1)),f318(f94(a1),x79981)))
% 182.20/182.06 [8011]~P1(f318(f318(f227(a1),f318(f94(a1),x80111)),f2(a1)))+E(f318(f247(a1,a1),f318(a46,f45(f318(f74(a1),f73(a1)),f318(f74(a1),f318(f94(a1),x80111))))),f40(a1,f73(a1),f318(f94(a1),x80111)))
% 182.20/182.06 [8060]~P1(f318(f318(f226(a1),a78),x80601))+P1(f318(f318(f226(a1),a78),f318(f318(f23(a1),f318(f318(f75(a1),x80601),x80601)),a88)))
% 182.20/182.06 [8061]~P1(f318(f318(f226(a1),a88),x80611))+P1(f318(f318(f226(a1),a88),f318(f318(f23(a1),f318(f318(f75(a1),x80611),x80611)),a88)))
% 182.20/182.06 [8062]~P1(f318(f318(f226(a1),a78),x80621))+P1(f318(f318(f227(a1),a78),f318(f318(f23(a1),f318(f318(f75(a1),x80621),x80621)),a88)))
% 182.20/182.06 [8063]~P1(f318(f318(f227(a1),a88),x80631))+P1(f318(f318(f227(a1),a88),f318(f318(f23(a1),f318(f318(f75(a1),x80631),x80631)),a88)))
% 182.20/182.06 [8361]~P95(x83611)+~P27(x83611,f318(f94(x83611),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))
% 182.20/182.06 [8545]P1(f318(f318(f226(a1),a78),x85451))+~P1(f318(f318(f226(a1),a78),f318(f318(f23(a1),f318(f318(f75(a1),x85451),x85451)),a88)))
% 182.20/182.06 [8546]P1(f318(f318(f226(a1),a78),x85461))+~P1(f318(f318(f227(a1),a78),f318(f318(f23(a1),f318(f318(f75(a1),x85461),x85461)),a88)))
% 182.20/182.06 [8547]P1(f318(f318(f226(a1),a88),x85471))+~P1(f318(f318(f226(a1),a88),f318(f318(f23(a1),f318(f318(f75(a1),x85471),x85471)),a88)))
% 182.20/182.06 [8548]P1(f318(f318(f227(a1),a88),x85481))+~P1(f318(f318(f227(a1),a88),f318(f318(f23(a1),f318(f318(f75(a1),x85481),x85481)),a88)))
% 182.20/182.06 [8867]E(f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x88671),x88671)),a88)),f318(f318(f81(a898,a898),f318(f94(a898),x88671)),f318(f318(f8(a898,a898,a898),a103),f318(f318(f18(a898,a898,a898),f75(a898)),f5(a898)))))+P1(f318(a184,f318(f94(a1),x88671)))
% 182.20/182.06 [9738]E(x97381,f179(f905(f904(a898,a898),a894)))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x97381),f179(f905(f904(a898,a898),a894)))),a63))
% 182.20/182.06 [8794]~P1(f318(a184,f318(f94(a1),x87941)))+P1(f318(a184,f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x87941),x87941)),a88))))
% 182.20/182.06 [8795]~P1(f318(f318(f227(a1),x87951),a78))+P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x87951),x87951)),a88)),a78))
% 182.20/182.06 [8796]~P1(f318(f318(f226(a1),x87961),a88))+P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x87961),x87961)),a88)),a88))
% 182.20/182.06 [8797]~P1(f318(f318(f227(a1),x87971),a78))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x87971),x87971)),a88)),a78))
% 182.20/182.06 [8798]~P1(f318(f318(f227(a1),x87981),a88))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x87981),x87981)),a88)),a88))
% 182.20/182.06 [8908]~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x89081)))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x89081),x89081)),a88))))
% 182.20/182.06 [9070]~P95(x90701)+E(f318(f318(f75(x90701),f73(x90701)),f73(x90701)),f318(f94(x90701),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))
% 182.20/182.06 [9224]P1(f318(a184,f318(f94(a1),x92241)))+~P1(f318(a184,f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92241),x92241)),a88))))
% 182.20/182.06 [9225]P1(f318(f318(f226(a1),x92251),a88))+~P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92251),x92251)),a88)),a88))
% 182.20/182.06 [9226]P1(f318(f318(f227(a1),x92261),a78))+~P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92261),x92261)),a88)),a78))
% 182.20/182.06 [9227]P1(f318(f318(f227(a1),x92271),a78))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92271),x92271)),a88)),a78))
% 182.20/182.06 [9228]P1(f318(f318(f227(a1),x92281),a88))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92281),x92281)),a88)),a88))
% 182.20/182.06 [9783]~P1(f318(f28(f904(a898,a898)),x97831))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f179(f905(f904(a898,a898),a894))),x97831)),a64))
% 182.20/182.06 [9560]~P144(x95601)+E(f318(f318(f235(x95601),f73(x95601)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(x95601))
% 182.20/182.06 [9561]~P144(x95611)+E(f318(f318(f235(x95611),f2(x95611)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f2(x95611))
% 182.20/182.06 [10006]~P1(f318(f318(f227(a898),f73(a898)),x100061))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f30(a898),x100061),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [10012]~P1(f318(f318(f227(a898),f2(a898)),x100121))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f30(a898),f318(f318(f75(a898),x100121),f73(a898))),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [10050]~E(f40(a898,x100501,f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(a898))+P1(f318(f318(f227(a898),f2(a898)),f40(a898,x100501,f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [10080]E(f40(a898,x100801,f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(a898))+~P1(f318(f318(f227(a898),f2(a898)),f40(a898,x100801,f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [4682]~P7(x46821,x46822)+P42(x46821,x46822)
% 182.20/182.06 [4683]~P36(x46831,x46832)+P56(x46831,x46832)
% 182.20/182.06 [4684]~P43(x46841,x46842)+P56(x46841,x46842)
% 182.20/182.06 [4686]~P7(x46861,x46862)+P48(x46861,x46862)
% 182.20/182.06 [4688]~P15(x46881,x46882)+P48(x46881,x46882)
% 182.20/182.06 [4690]~P7(x46901,x46902)+P49(x46901,x46902)
% 182.20/182.06 [4692]~P15(x46921,x46922)+P49(x46921,x46922)
% 182.20/182.06 [4693]~P7(x46931,x46932)+P15(x46931,x46932)
% 182.20/182.06 [4643]~E(x46431,x46432)+E(f260(x46431,x46432),f73(a90))
% 182.20/182.06 [4646]E(f207(x46461,x46462),x46461)+~E(x46462,f2(a898))
% 182.20/182.06 [4653]~E(x46532,f104(x46531))+E(f143(x46531,x46532),f104(x46531))
% 182.20/182.06 [4672]~E(f143(x46722,x46721),f104(x46722))+E(x46721,f104(x46722))
% 182.20/182.06 [4697]~P64(x46972)+P64(f905(x46971,x46972))
% 182.20/182.06 [4698]~P66(x46982)+P66(f905(x46981,x46982))
% 182.20/182.06 [4699]~P81(x46992)+P81(f905(x46991,x46992))
% 182.20/182.06 [4700]~P108(x47002)+P108(f905(x47001,x47002))
% 182.20/182.06 [4701]~P83(x47012)+P83(f905(x47011,x47012))
% 182.20/182.06 [4702]~P83(x47022)+P102(f905(x47021,x47022))
% 182.20/182.06 [4703]~P99(x47032)+P84(f905(x47031,x47032))
% 182.20/182.06 [4704]~P103(x47042)+P103(f905(x47041,x47042))
% 182.20/182.06 [4705]~P83(x47052)+P104(f905(x47051,x47052))
% 182.20/182.06 [4706]~P100(x47062)+P100(f905(x47061,x47062))
% 182.20/182.06 [4707]~P114(x47072)+P114(f905(x47071,x47072))
% 182.20/182.06 [4708]~P99(x47082)+P101(f905(x47081,x47082))
% 182.20/182.06 [4709]~P5(x47092)+P5(f905(x47091,x47092))
% 182.20/182.06 [4710]~P97(x47102)+P97(f905(x47101,x47102))
% 182.20/182.06 [4711]~P91(x47112)+P91(f905(x47111,x47112))
% 182.20/182.06 [4712]~P99(x47122)+P99(f905(x47121,x47122))
% 182.20/182.06 [4725]E(x47251,x47252)+~E(f318(a103,x47251),f318(a103,x47252))
% 182.20/182.06 [4726]E(x47261,x47262)+~E(f318(a97,x47261),f318(a97,x47262))
% 182.20/182.06 [4727]E(x47271,x47272)+~E(f318(a3,x47271),f318(a3,x47272))
% 182.20/182.06 [4729]E(x47291,x47292)+~E(f318(a20,x47291),f318(a20,x47292))
% 182.20/182.06 [4778]P38(x47781,x47782)+~E(f685(x47782,x47781),f686(x47782,x47781))
% 182.20/182.06 [4808]~P56(x48081,x48082)+P38(x48081,f298(x48081,x48082))
% 182.20/182.06 [4809]~P50(x48091,x48092)+P50(x48091,f298(x48091,x48092))
% 182.20/182.06 [4822]~P3(x48221)+E(f40(x48221,x48222,x48222),f2(x48221))
% 182.20/182.06 [4856]~P36(x48561,x48562)+P36(f899(x48561),f137(x48561,x48562))
% 182.20/182.06 [4857]~P36(x48571,x48572)+P36(f899(x48571),f136(x48571,x48572))
% 182.20/182.06 [4858]~P37(x48581,x48582)+P37(f899(x48581),f138(x48581,x48582))
% 182.20/182.06 [4859]~P37(x48591,x48592)+P37(f899(x48591),f149(x48591,x48592))
% 182.20/182.06 [4860]~P50(x48601,x48602)+P50(f899(x48601),f149(x48601,x48602))
% 182.20/182.06 [4957]~P36(x49571,x49572)+P36(f905(x49571,a894),f311(x49571,x49572))
% 182.20/182.06 [4958]~P36(x49581,x49582)+P36(f905(x49581,a894),f309(x49581,x49582))
% 182.20/182.06 [5089]~P6(x50891)+P39(f294(a1,x50891,x50892))
% 182.20/182.06 [5192]~P36(x51921,x51922)+P58(x51921,f61(x51921,x51921,x51922))
% 182.20/182.06 [5695]~P65(x56951)+P24(x56951,x56951,f74(x56951),x56952)
% 182.20/182.06 [4667]~E(x46672,f104(x46671))+E(f318(f158(x46671),x46672),f104(x46671))
% 182.20/182.06 [4668]~E(x46682,f104(x46681))+E(f318(f159(x46681),x46682),f104(x46681))
% 182.20/182.06 [4731]E(x47311,f318(a95,x47312))+~E(f318(f91(a1),x47311),x47312)
% 182.20/182.06 [4734]E(x47341,f104(x47342))+~E(f318(f158(x47342),x47341),f104(x47342))
% 182.20/182.06 [4735]E(x47351,f104(x47352))+~E(f318(f159(x47352),x47351),f104(x47352))
% 182.20/182.06 [4747]~P95(x47471)+E(f318(f94(x47471),x47472),f318(f93(x47471),x47472))
% 182.20/182.06 [4755]~P2(x47551)+P1(f318(f28(x47551),x47552))
% 182.20/182.06 [4763]~E(f645(x47632,x47631),f104(x47631))+E(f170(x47631,x47632),f104(f899(x47631)))
% 182.20/182.06 [4772]~E(x47722,f104(x47721))+E(f318(f163(x47721),x47722),f179(f905(x47721,a894)))
% 182.20/182.06 [4773]~E(x47732,f104(x47731))+E(f179(f905(x47731,a894)),f318(f163(x47731),x47732))
% 182.20/182.06 [4775]E(x47751,x47752)+~E(f318(f91(a1),x47751),f318(f91(a1),x47752))
% 182.20/182.06 [4779]E(f205(x47791,x47792),f2(a898))+P1(f318(f28(x47791),x47792))
% 182.20/182.06 [4797]~P110(x47971)+E(f77(x47971,f77(x47971,x47972)),f77(x47971,x47972))
% 182.20/182.06 [4811]~P111(x48111)+E(f318(f318(f235(x48111),x48112),f73(a898)),x48112)
% 182.20/182.06 [4812]~P80(x48121)+E(f318(f318(f235(x48121),x48122),f73(a898)),x48122)
% 182.20/182.06 [4813]~P50(x48131,x48132)+E(f318(f277(x48131,x48131),x48132),x48132)
% 182.20/182.06 [4817]E(x48171,x48172)+E(f260(x48171,x48172),f318(f318(f75(a90),x48172),f73(a90)))
% 182.20/182.06 [4820]E(f318(f29(x48201),x48202),f2(a898))+P1(f318(f28(x48201),x48202))
% 182.20/182.06 [4823]~E(f143(x48231,x48232),x48232)+P1(f318(f128(x48231),x48232))
% 182.20/182.06 [4826]~P73(x48261)+E(f318(f318(f23(x48261),x48262),f2(x48261)),x48262)
% 182.20/182.06 [4827]~P101(x48271)+E(f318(f318(f92(x48271),x48272),f233(x48271)),x48272)
% 182.20/182.06 [4828]~P79(x48281)+E(f318(f318(f75(x48281),x48282),f2(x48281)),x48282)
% 182.20/182.06 [4829]~P74(x48291)+E(f318(f318(f75(x48291),x48292),f2(x48291)),x48292)
% 182.20/182.06 [4830]~P111(x48301)+E(f318(f318(f75(x48301),x48302),f2(x48301)),x48302)
% 182.20/182.06 [4831]~P84(x48311)+E(f318(f318(f101(x48311),x48312),f179(x48311)),x48312)
% 182.20/182.06 [4832]~P111(x48321)+E(f318(f318(f76(x48321),x48322),f73(x48321)),x48322)
% 182.20/182.06 [4833]~P75(x48331)+E(f318(f318(f76(x48331),x48332),f73(x48331)),x48332)
% 182.20/182.06 [4834]~P80(x48341)+E(f318(f318(f76(x48341),x48342),f73(x48341)),x48342)
% 182.20/182.06 [4835]~P121(x48351)+E(f318(f318(f282(x48351),x48352),f73(x48351)),x48352)
% 182.20/182.06 [4836]~P3(x48361)+E(f318(f318(f30(x48361),x48362),f73(x48361)),x48362)
% 182.20/182.06 [4837]~P111(x48371)+E(f318(f318(f235(x48371),x48372),f2(a898)),f73(x48371))
% 182.20/182.06 [4838]~P113(x48381)+E(f318(f318(f235(x48381),x48382),f2(a898)),f73(x48381))
% 182.20/182.06 [4839]~E(x48392,f179(f905(x48391,a894)))+E(f318(f29(x48391),x48392),f2(a898))
% 182.20/182.06 [4850]~P3(x48501)+E(f40(x48501,x48502,f2(x48501)),x48502)
% 182.20/182.06 [4861]~P84(x48611)+E(f318(f318(f92(x48611),x48612),f179(x48611)),f179(x48611))
% 182.20/182.06 [4862]~P101(x48621)+E(f318(f318(f101(x48621),x48622),f233(x48621)),f233(x48621))
% 182.20/182.06 [4863]~P111(x48631)+E(f318(f318(f76(x48631),x48632),f2(x48631)),f2(x48631))
% 182.20/182.06 [4864]~P130(x48641)+E(f318(f318(f76(x48641),x48642),f2(x48641)),f2(x48641))
% 182.20/182.06 [4865]~P122(x48651)+E(f318(f318(f282(x48651),x48652),f2(x48651)),f2(x48651))
% 182.20/182.06 [4866]~P3(x48661)+E(f318(f318(f30(x48661),x48662),f2(x48661)),f2(x48661))
% 182.20/182.06 [4868]~P3(x48681)+E(f40(x48681,x48682,f73(x48681)),f2(x48681))
% 182.20/182.06 [4869]~P3(x48691)+E(f40(x48691,f2(x48691),x48692),f2(x48691))
% 182.20/182.06 [4898]E(x48981,f2(a898))+E(f50(x48982,x48981,f104(x48982)),f104(f899(x48982)))
% 182.20/182.06 [4921]P50(x49211,x49212)+~E(f318(f277(x49211,x49211),x49212),x49212)
% 182.20/182.06 [4922]P36(x49221,x49222)+~E(f523(x49222,x49221),f179(f905(x49221,a894)))
% 182.20/182.06 [4923]E(x49231,f104(x49232))+~E(f318(f163(x49232),x49231),f179(f905(x49232,a894)))
% 182.20/182.06 [4924]E(x49241,f104(x49242))+~E(f179(f905(x49242,a894)),f318(f163(x49242),x49241))
% 182.20/182.06 [4927]~E(x49271,x49272)+P1(f318(f318(a315,x49271),x49272))
% 182.20/182.06 [4937]P1(x49371)+P1(f318(f318(a321,x49371),x49372))
% 182.20/182.06 [4938]E(x49381,f104(x49382))+E(f318(f318(f155(x49382),x49381),f2(a898)),f318(f132(x49382),x49381))
% 182.20/182.06 [4941]E(f143(x49411,x49412),x49412)+~P1(f318(f128(x49411),x49412))
% 182.20/182.06 [4948]~P1(x49482)+P1(f318(f318(a317,x49481),x49482))
% 182.20/182.06 [4949]~P1(x49491)+P1(f318(f318(a317,x49491),x49492))
% 182.20/182.06 [4950]~P1(x49502)+P1(f318(f318(a321,x49501),x49502))
% 182.20/182.06 [4960]~E(f646(x49602,x49601),f650(x49602,x49601))+P1(f318(f128(x49601),x49602))
% 182.20/182.06 [4967]E(f318(f253(x49671),x49672),f179(f905(x49671,a894)))+P1(f318(x49672,f324(x49672)))
% 182.20/182.06 [4968]E(f179(f905(x49681,a894)),f318(f253(x49681),x49682))+P1(f318(x49682,f325(x49682)))
% 182.20/182.06 [5041]~P110(x50411)+E(f318(f318(f76(x50411),x50412),f77(x50411,x50412)),f318(f70(x50411),x50412))
% 182.20/182.06 [5053]~E(x50531,f2(a1))+E(f41(x50531,x50532),f318(f318(f243(a1,a1),f2(a1)),f2(a1)))
% 182.20/182.06 [5085]~P56(x50851,x50852)+P56(x50851,f318(f277(x50851,x50851),x50852))
% 182.20/182.06 [5086]~P37(x50861,x50862)+P37(x50861,f318(f277(x50861,x50861),x50862))
% 182.20/182.06 [5087]~P38(x50871,x50872)+P38(x50871,f318(f277(x50871,x50871),x50872))
% 182.20/182.06 [5088]~P50(x50881,x50882)+P50(x50881,f318(f277(x50881,x50881),x50882))
% 182.20/182.06 [5110]E(x51101,x51102)+~P1(f318(f318(a315,x51101),x51102))
% 182.20/182.06 [5121]P1(x51211)+~P1(f318(f318(a316,x51212),x51211))
% 182.20/182.06 [5122]P1(x51221)+~P1(f318(f318(a316,x51221),x51222))
% 182.20/182.06 [5127]~P114(x51271)+P1(f318(f318(f226(x51271),x51272),f233(x51271)))
% 182.20/182.06 [5128]~P111(x51281)+P1(f318(f318(f278(x51281),x51282),f2(x51281)))
% 182.20/182.06 [5132]E(x51321,x51322)+~E(f318(x51321,f392(x51322,x51321)),f318(x51322,f392(x51322,x51321)))
% 182.20/182.06 [5163]E(x51631,f2(a898))+E(f207(x51631,f40(a898,x51632,x51631)),f207(x51632,x51631))
% 182.20/182.06 [5168]~P82(x51681)+P13(x51681,f318(f318(f142(x51681),x51682),f104(x51681)))
% 182.20/182.06 [5170]E(x51701,f2(a1))+P1(f318(f44(x51702,x51701),f41(x51702,x51701)))
% 182.20/182.06 [5187]~P15(x51872,x51871)+P1(f318(f318(x51871,f781(x51871)),f781(x51871)))
% 182.20/182.06 [5190]~E(x51901,x51902)+P1(f318(f318(f227(a898),x51901),f318(a103,x51902)))
% 182.20/182.06 [5200]~E(x52001,f2(a898))+P1(f318(f318(f227(a898),x52001),f318(a103,x52002)))
% 182.20/182.06 [5210]P1(f318(x52101,x52102))+P1(f318(f318(f226(a1),f2(a1)),f357(x52101)))
% 182.20/182.06 [5273]P56(x52731,x52732)+~P56(x52731,f318(f277(x52731,x52731),x52732))
% 182.20/182.06 [5274]P37(x52741,x52742)+~P37(x52741,f318(f277(x52741,x52741),x52742))
% 182.20/182.06 [5275]P38(x52751,x52752)+~P38(x52751,f318(f277(x52751,x52751),x52752))
% 182.20/182.06 [5276]P50(x52761,x52762)+~P50(x52761,f318(f277(x52761,x52761),x52762))
% 182.20/182.06 [5279]~E(f40(a898,x52792,x52791),f2(a898))+E(f318(f318(f76(a898),x52791),f365(x52791,x52792)),x52792)
% 182.20/182.06 [5280]~E(f40(a1,x52802,x52801),f2(a1))+E(f318(f318(f76(a1),x52801),f366(x52801,x52802)),x52802)
% 182.20/182.06 [5307]~P1(f318(x53071,x53072))+P1(f318(f318(f226(a1),f2(a1)),f327(x53071)))
% 182.20/182.06 [5318]E(f318(f318(f23(a898),f318(a95,x53181)),f318(a95,x53182)),f318(a95,x53181))+~P1(f318(a184,x53182))
% 182.20/182.06 [5341]E(f263(x53411,x53412),f73(a90))+~P1(f318(f318(f226(a90),x53411),f73(a90)))
% 182.20/182.06 [5439]E(f318(f318(f155(x54391),x54392),f646(x54392,x54391)),f318(f318(f155(x54391),x54392),f650(x54392,x54391)))+P1(f318(f128(x54391),x54392))
% 182.20/182.06 [5483]~P1(f318(x54831,f85(x54832,x54831)))+P1(f318(x54831,f524(x54832,x54831)))
% 182.20/182.06 [5548]P58(x55481,x55482)+~P1(f318(f306(x55481,x55482),f503(x55482,x55481)))
% 182.20/182.06 [5692]~P15(x56922,x56921)+P1(f318(f318(x56921,f782(x56921,x56922)),f782(x56921,x56922)))
% 182.20/182.06 [5693]~P15(x56932,x56931)+P1(f318(f318(x56931,f785(x56931,x56932)),f785(x56931,x56932)))
% 182.20/182.06 [5702]~E(f318(a103,f40(a898,x57021,x57022)),x57022)+E(f40(a898,f318(a103,x57021),x57022),f2(a898))
% 182.20/182.06 [5757]P36(x57571,x57572)+P1(f318(f318(f320(x57571),f562(x57572,x57571)),f563(x57572,x57571)))
% 182.20/182.06 [5764]~P127(x57641)+P1(f318(f318(f320(x57641),f318(f91(x57641),x57642)),f100(x57641)))
% 182.20/182.06 [5765]~P144(x57651)+P1(f318(f318(f320(x57651),f318(f91(x57651),x57652)),f177(x57651)))
% 182.20/182.06 [5766]~P127(x57661)+P1(f318(f318(f320(x57661),f318(f93(x57661),x57662)),f100(x57661)))
% 182.20/182.06 [5767]~P95(x57671)+P1(f318(f318(f320(x57671),f318(f94(x57671),x57672)),f100(x57671)))
% 182.20/182.06 [5910]~P37(x59101,x59102)+E(f318(f318(f280(x59101,x59101,x59101),x59102),f298(x59101,x59102)),x59102)
% 182.20/182.06 [5924]E(f318(a103,f40(a898,x59241,x59242)),x59242)+E(f40(a898,f318(a103,x59241),x59242),f318(a103,f40(a898,x59241,x59242)))
% 182.20/182.06 [6356]P36(x63561,x63562)+~P1(f318(f318(f320(x63561),f471(x63562,x63561)),f307(x63561,x63562)))
% 182.20/182.06 [6395]~P109(x63951)+~P1(f318(f318(f227(x63951),f318(f91(x63951),x63952)),f2(x63951)))
% 182.20/182.06 [6396]~P87(x63961)+~P1(f318(f318(f227(x63961),f318(f70(x63961),x63962)),f2(x63961)))
% 182.20/182.06 [6486]P1(f318(f318(f227(a1),x64861),f40(a1,x64862,x64861)))+~P1(f318(f318(f227(a1),x64861),f2(a1)))
% 182.20/182.06 [6592]E(f318(f318(f300(a898),f318(a103,x65921)),f294(a898,x65922,x65921)),f294(a898,x65922,f318(a103,x65921)))+~P1(f318(f318(f226(a898),x65922),f318(a103,x65921)))
% 182.20/182.06 [6684]~P82(x66841)+P13(x66841,f141(x66841,x66841,f5(x66841),x66842))
% 182.20/182.06 [6816]E(f318(f158(x68161),x68162),x68162)+~P1(f318(f318(f226(a898),f318(f180(f899(x68161)),x68162)),f73(a898)))
% 182.20/182.06 [6838]~P87(x68381)+P1(f318(f318(f226(x68381),f318(f74(x68381),f318(f70(x68381),x68382))),f2(x68381)))
% 182.20/182.06 [6872]~P36(x68721,x68722)+P36(x68721,f318(f318(f280(x68721,x68721,x68721),x68722),f298(x68721,x68722)))
% 182.20/182.06 [6873]~P50(x68731,x68732)+P50(x68731,f318(f318(f280(x68731,x68731,x68731),x68732),f298(x68731,x68732)))
% 182.20/182.06 [7098]~P1(f318(f318(f227(a1),x70982),f2(a1)))+P1(f318(f318(f226(a1),f40(a1,x70981,x70982)),f2(a1)))
% 182.20/182.06 [7498]~P144(x74981)+E(f181(x74981,f318(f318(f7(x74981,x74981,x74981),f75(x74981)),f73(x74981)),x74982,f2(x74981)),f318(f91(x74981),x74982))
% 182.20/182.06 [7527]~P125(x75271)+~P1(f318(f318(f227(x75271),f318(f318(f76(x75271),x75272),x75272)),f2(x75271)))
% 182.20/182.06 [10171]~P110(x101711)+~P1(f318(f318(f227(x101711),f318(f318(f235(x101711),x101712),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f2(x101711)))
% 182.20/182.06 [4732]~E(x47322,f104(x47321))+E(f318(f180(f899(x47321)),x47322),f2(a898))
% 182.20/182.06 [4764]~E(x47641,f2(a898))+E(f318(f318(f75(a898),x47641),x47642),x47642)
% 182.20/182.06 [4765]~E(x47652,f2(a898))+E(f318(f318(f76(a898),x47651),x47652),f2(a898))
% 182.20/182.06 [4767]~E(x47671,f2(a898))+E(f318(f318(f76(a898),x47671),x47672),f2(a898))
% 182.20/182.06 [4768]~E(x47682,f2(a898))+E(f318(f318(f235(a898),x47681),x47682),f73(a898))
% 182.20/182.06 [4769]~E(x47692,f2(a1))+E(f318(f318(f30(a1),x47691),x47692),f2(a1))
% 182.20/182.06 [4780]E(x47801,f104(x47802))+~E(f318(f180(f899(x47802)),x47801),f2(a898))
% 182.20/182.06 [4781]~P83(x47811)+E(f318(f318(f92(x47811),x47812),x47812),x47812)
% 182.20/182.06 [4783]~P102(x47831)+E(f318(f318(f92(x47831),x47832),x47832),x47832)
% 182.20/182.06 [4784]~P83(x47841)+E(f318(f318(f101(x47841),x47842),x47842),x47842)
% 182.20/182.06 [4786]~P104(x47861)+E(f318(f318(f101(x47861),x47862),x47862),x47862)
% 182.20/182.06 [4788]~P98(x47881)+E(f318(f318(f76(x47881),x47882),x47882),x47882)
% 182.20/182.06 [4790]~P82(x47901)+E(f318(f318(f224(x47901),x47902),x47902),x47902)
% 182.20/182.06 [4792]~P82(x47921)+E(f318(f318(f225(x47921),x47922),x47922),x47922)
% 182.20/182.06 [4810]~P73(x48101)+E(f318(f318(f23(x48101),x48102),x48102),f2(x48101))
% 182.20/182.06 [4824]~P73(x48241)+E(f318(f74(x48241),f318(f74(x48241),x48242)),x48242)
% 182.20/182.06 [4825]~P97(x48251)+E(f318(f74(x48251),f318(f74(x48251),x48252)),x48252)
% 182.20/182.06 [4842]~E(x48422,f2(a898))+E(f318(f318(f235(a898),x48421),x48422),f318(a103,f2(a898)))
% 182.20/182.06 [4877]~P101(x48771)+E(f318(f318(f92(x48771),f233(x48771)),x48772),x48772)
% 182.20/182.06 [4878]~P79(x48781)+E(f318(f318(f75(x48781),f2(x48781)),x48782),x48782)
% 182.20/182.06 [4879]~P74(x48791)+E(f318(f318(f75(x48791),f2(x48791)),x48792),x48792)
% 182.20/182.06 [4880]~P111(x48801)+E(f318(f318(f75(x48801),f2(x48801)),x48802),x48802)
% 182.20/182.06 [4881]~P84(x48811)+E(f318(f318(f101(x48811),f179(x48811)),x48812),x48812)
% 182.20/182.06 [4882]~P111(x48821)+E(f318(f318(f76(x48821),f73(x48821)),x48822),x48822)
% 182.20/182.06 [4883]~P75(x48831)+E(f318(f318(f76(x48831),f73(x48831)),x48832),x48832)
% 182.20/182.06 [4884]~P80(x48841)+E(f318(f318(f76(x48841),f73(x48841)),x48842),x48842)
% 182.20/182.06 [4902]~P84(x49021)+E(f318(f318(f92(x49021),f179(x49021)),x49022),f179(x49021))
% 182.20/182.06 [4903]~P101(x49031)+E(f318(f318(f101(x49031),f233(x49031)),x49032),f233(x49031))
% 182.20/182.06 [4904]~P111(x49041)+E(f318(f318(f76(x49041),f2(x49041)),x49042),f2(x49041))
% 182.20/182.06 [4905]~P130(x49051)+E(f318(f318(f76(x49051),f2(x49051)),x49052),f2(x49051))
% 182.20/182.06 [4906]~P80(x49061)+E(f318(f318(f235(x49061),f73(x49061)),x49062),f73(x49061))
% 182.20/182.06 [4907]~P121(x49071)+E(f318(f318(f282(x49071),f2(x49071)),x49072),f2(x49071))
% 182.20/182.06 [4908]~P3(x49081)+E(f318(f318(f30(x49081),f2(x49081)),x49082),f2(x49081))
% 182.20/182.06 [4916]E(x49161,f104(x49162))+E(f135(x49162,f318(f159(x49162),x49161)),f318(f132(x49162),x49161))
% 182.20/182.06 [4917]E(x49171,f104(x49172))+E(f318(f132(x49172),f318(f159(x49172),x49171)),f135(x49172,x49171))
% 182.20/182.06 [4918]E(x49181,f2(a898))+~E(f318(f318(f75(a898),x49182),x49181),x49182)
% 182.20/182.06 [4925]~P127(x49251)+E(f318(f93(x49251),f318(f91(a1),x49252)),f318(f91(x49251),x49252))
% 182.20/182.06 [4926]~P95(x49261)+E(f318(f93(x49261),f318(f94(a1),x49262)),f318(f94(x49261),x49262))
% 182.20/182.06 [4933]E(x49331,f73(a898))+~E(f318(f318(f76(a898),x49332),x49331),f73(a898))
% 182.20/182.06 [4934]E(x49341,f73(a898))+~E(f318(f318(f76(a898),x49341),x49342),f73(a898))
% 182.20/182.06 [4935]E(x49351,f2(a898))+~E(f318(f318(f75(a898),x49352),x49351),f2(a898))
% 182.20/182.06 [4936]E(x49361,f2(a898))+~E(f318(f318(f75(a898),x49361),x49362),f2(a898))
% 182.20/182.06 [4953]~P110(x49531)+E(f318(f70(x49531),f318(f91(x49531),x49532)),f318(f91(x49531),x49532))
% 182.20/182.06 [4954]~P87(x49541)+E(f318(f70(x49541),f318(f70(x49541),x49542)),f318(f70(x49541),x49542))
% 182.20/182.06 [4955]~P87(x49551)+E(f318(f70(x49551),f318(f74(x49551),x49552)),f318(f70(x49551),x49552))
% 182.20/182.06 [4956]~P74(x49561)+E(f318(f156(x49561),f318(f159(x49561),x49562)),f318(f156(x49561),x49562))
% 182.20/182.06 [4961]~E(x49611,f318(a103,f2(a898)))+E(f318(f318(f235(a898),x49611),x49612),f318(a103,f2(a898)))
% 182.20/182.06 [4970]~P73(x49701)+E(f318(f318(f23(x49701),f2(x49701)),x49702),f318(f74(x49701),x49702))
% 182.20/182.06 [4971]~E(x49712,f2(a898))+E(f130(a898,f318(f293(a898,x49711),x49712)),f104(a898))
% 182.20/182.06 [4980]~P95(x49801)+E(f318(f318(f75(x49801),x49802),f318(f94(x49801),a78)),x49802)
% 182.20/182.06 [4981]E(x49811,f2(a1))+E(f42(f318(f70(a1),x49812),f318(f70(a1),x49811)),f48(x49812,x49811))
% 182.20/182.06 [4997]~E(x49971,x49972)+P1(f318(f318(f226(a898),x49971),x49972))
% 182.20/182.06 [5001]~E(x50011,x50012)+P1(f318(f318(f278(a898),x50011),x50012))
% 182.20/182.06 [5008]~E(x50081,f2(a90))+E(f318(f318(f75(a898),f318(a20,x50081)),x50082),x50082)
% 182.20/182.06 [5009]~E(f318(f94(a1),x50092),f318(f91(a1),x50091))+E(x50091,f318(a95,f318(f94(a1),x50092)))
% 182.20/182.06 [5022]~P6(x50221)+P6(f318(f318(f235(a1),x50221),x50222))
% 182.20/182.06 [5023]~P97(x50231)+E(f318(f318(f92(x50231),x50232),f318(f74(x50231),x50232)),f179(x50231))
% 182.20/182.06 [5024]~P73(x50241)+E(f318(f318(f75(x50241),x50242),f318(f74(x50241),x50242)),f2(x50241))
% 182.20/182.06 [5025]~P97(x50251)+E(f318(f318(f101(x50251),x50252),f318(f74(x50251),x50252)),f233(x50251))
% 182.20/182.06 [5050]E(x50501,f2(a898))+~E(f318(f74(a1),f318(f91(a1),x50502)),f318(f91(a1),x50501))
% 182.20/182.06 [5051]E(x50511,f2(a898))+~E(f318(f74(a1),f318(f91(a1),x50511)),f318(f91(a1),x50512))
% 182.20/182.06 [5061]E(f185(x50611,x50612),f2(a1))+P1(f318(f318(f226(a1),x50612),x50611))
% 182.20/182.06 [5062]E(f169(x50621,x50622),f104(a1))+P1(f318(f318(f226(a1),x50621),x50622))
% 182.20/182.06 [5063]E(f232(x50631,x50632),f2(a90))+P1(f318(f318(f227(a90),x50631),x50632))
% 182.20/182.06 [5076]E(x50761,f318(a103,f2(a898)))+~E(f318(f318(f76(a898),x50762),x50761),f318(a103,f2(a898)))
% 182.20/182.06 [5077]E(x50771,f318(a103,f2(a898)))+~E(f318(f318(f76(a898),x50771),x50772),f318(a103,f2(a898)))
% 182.20/182.06 [5078]~P64(x50781)+P1(f318(f318(f226(x50781),x50782),x50782))
% 182.20/182.06 [5079]~P111(x50791)+P1(f318(f318(f278(x50791),x50792),x50792))
% 182.20/182.06 [5082]~P95(x50821)+E(f318(f318(f76(x50821),x50822),f318(f94(x50821),a88)),f318(f74(x50821),x50822))
% 182.20/182.06 [5102]~P127(x51021)+E(f318(f74(x51021),f318(f93(x51021),x51022)),f318(f93(x51021),f318(f74(a1),x51022)))
% 182.20/182.06 [5103]~P95(x51031)+E(f318(f74(x51031),f318(f94(x51031),x51032)),f318(f94(x51031),f318(f74(a1),x51032)))
% 182.20/182.06 [5133]~E(x51331,f318(a103,x51332))+P1(f318(f318(f227(a898),f2(a898)),x51331))
% 182.20/182.06 [5151]~P82(x51511)+E(f318(f74(f905(x51511,a894)),f318(f273(x51511),x51512)),f318(f274(x51511),x51512))
% 182.20/182.06 [5152]~P82(x51521)+E(f318(f74(f905(x51521,a894)),f318(f292(x51521),x51522)),f318(f295(x51521),x51522))
% 182.20/182.06 [5153]~P82(x51531)+E(f318(f74(f905(x51531,a894)),f318(f274(x51531),x51532)),f318(f273(x51531),x51532))
% 182.20/182.06 [5154]~P82(x51541)+E(f318(f74(f905(x51541,a894)),f318(f295(x51541),x51542)),f318(f292(x51541),x51542))
% 182.20/182.06 [5162]~E(f318(f91(a1),x51622),x51621)+P1(f318(f318(f226(a1),f2(a1)),x51621))
% 182.20/182.06 [5169]~E(x51692,f2(a1))+E(f48(x51691,x51692),f318(f318(f243(a1,a1),f2(a1)),f318(f70(a1),x51691)))
% 182.20/182.06 [5171]~P103(x51711)+P1(f318(f318(f226(x51711),f179(x51711)),x51712))
% 182.20/182.06 [5172]~P111(x51721)+P1(f318(f318(f278(x51721),f73(x51721)),x51722))
% 182.20/182.06 [5205]E(x52051,x52052)+~E(f318(f318(f75(a1),x52051),x52051),f318(f318(f75(a1),x52052),x52052))
% 182.20/182.06 [5209]~P1(f318(x52091,x52092))+P1(f318(x52091,f318(a95,f327(x52091))))
% 182.20/182.06 [5235]~P110(x52351)+E(f318(f318(f76(x52351),f77(x52351,x52352)),f318(f70(x52351),x52352)),x52352)
% 182.20/182.06 [5242]~E(x52422,f2(a898))+E(f80(f904(a898,a898),f43(x52421,x52422)),f318(f318(f243(a898,a898),f2(a898)),x52421))
% 182.20/182.06 [5247]~E(x52471,x52472)+~P1(f318(f318(f227(a898),x52471),x52472))
% 182.20/182.06 [5248]~E(x52481,x52482)+~P1(f318(f318(f227(a1),x52481),x52482))
% 182.20/182.06 [5251]~P144(x52511)+E(f318(f318(f75(x52511),f73(x52511)),f318(f91(x52511),x52512)),f318(f91(x52511),f318(a103,x52512)))
% 182.20/182.06 [5255]~E(x52551,f2(a898))+~P1(f318(f318(f227(a898),x52552),x52551))
% 182.20/182.06 [5269]E(f143(x52691,x52692),x52692)+~E(f318(f180(f899(x52691)),f143(x52691,x52692)),f318(f180(f899(x52691)),x52692))
% 182.20/182.06 [5270]E(f318(f29(x52701),f318(f163(x52701),x52702)),f318(f180(f899(x52701)),x52702))+~P1(f318(f128(x52701),x52702))
% 182.20/182.06 [5284]~P1(f318(x52841,f799(x52841)))+P1(f318(x52841,f318(f91(a1),x52842)))
% 182.20/182.06 [5295]E(f232(x52951,x52952),x52952)+~P1(f318(f318(f227(a90),x52951),x52952))
% 182.20/182.06 [5297]E(f263(x52971,x52972),f73(a90))+~P1(f318(f318(f227(a90),x52972),x52971))
% 182.20/182.06 [5298]E(f169(x52981,x52982),f104(a1))+~P1(f318(f318(f227(a1),x52982),x52981))
% 182.20/182.06 [5299]E(f119(x52991,x52992),f106(a1))+~P1(f318(f318(f227(a1),x52991),x52992))
% 182.20/182.06 [5301]~P108(x53011)+E(f294(x53011,x53012,x53012),f318(f318(f300(x53011),x53012),f179(f905(x53011,a894))))
% 182.20/182.06 [5321]~E(f318(f318(f23(a898),x53211),x53212),f2(a898))+P1(f318(f318(f226(a898),x53211),x53212))
% 182.20/182.06 [5338]~E(x53382,f2(a898))+E(f50(x53381,x53382,f104(x53381)),f318(f318(f142(f899(x53381)),f104(x53381)),f104(f899(x53381))))
% 182.20/182.06 [5342]~P64(x53421)+~P1(f318(f318(f227(x53421),x53422),x53422))
% 182.20/182.06 [5344]~E(f40(a1,x53441,x53442),f2(a1))+E(f40(a1,x53441,f318(f74(a1),x53442)),f2(a1))
% 182.20/182.06 [5346]~E(f40(a1,x53461,x53462),f2(a1))+E(f40(a1,f318(f74(a1),x53461),x53462),f2(a1))
% 182.20/182.06 [5354]E(f318(f293(a898,x53541),f318(a103,x53542)),f179(f905(a898,a894)))+P1(f318(f318(f226(a898),x53541),x53542))
% 182.20/182.06 [5378]E(f130(a898,f318(f293(a898,x53781),x53782)),f104(a898))+P1(f318(f318(f227(a898),x53781),x53782))
% 182.20/182.06 [5384]~E(f318(f29(x53841),f318(f163(x53841),x53842)),f318(f180(f899(x53841)),x53842))+P1(f318(f128(x53841),x53842))
% 182.20/182.06 [5388]~P1(f318(f128(x53881),x53882))+P1(f318(f128(x53881),f318(f158(x53881),x53882)))
% 182.20/182.06 [5389]~P1(f318(f128(x53891),x53892))+P1(f318(f128(x53891),f318(f162(x53891),x53892)))
% 182.20/182.06 [5390]~P1(f318(f128(x53901),x53902))+P1(f318(f128(x53901),f318(f159(x53901),x53902)))
% 182.20/182.06 [5398]P1(f318(x53981,x53982))+~P1(f318(x53981,f318(a95,f357(x53981))))
% 182.20/182.06 [5399]P1(f318(f318(f226(a898),x53992),x53991))+P1(f318(f318(f226(a898),x53991),x53992))
% 182.20/182.06 [5400]P1(f318(f318(f226(a1),x54002),x54001))+P1(f318(f318(f226(a1),x54001),x54002))
% 182.20/182.06 [5404]~P87(x54041)+P1(f318(f318(f226(x54041),x54042),f318(f70(x54041),x54042)))
% 182.20/182.06 [5407]P1(f318(x54071,f800(x54071)))+~P1(f318(x54071,f318(f91(a1),x54072)))
% 182.20/182.06 [5431]E(f318(f318(f23(a898),x54311),x54312),f2(a898))+~P1(f318(f318(f226(a898),x54311),x54312))
% 182.20/182.06 [5432]E(f318(f318(f30(a898),x54321),x54322),f2(a898))+~P1(f318(f318(f227(a898),x54321),x54322))
% 182.20/182.06 [5451]E(f40(a898,x54511,x54512),x54511)+~P1(f318(f318(f227(a898),x54511),x54512))
% 182.20/182.06 [5459]E(f40(a1,x54591,f318(f74(a1),x54592)),f283(x54591,x54592))+P1(f318(f318(f226(a1),f2(a1)),x54592))
% 182.20/182.06 [5472]E(f318(f318(f23(a1),x54721),x54722),f185(x54721,x54722))+~P1(f318(f318(f226(a1),x54722),x54721))
% 182.20/182.06 [5492]P1(f318(f318(f226(a1),f2(a1)),f799(x54921)))+P1(f318(x54921,f318(f91(a1),x54922)))
% 182.20/182.06 [5505]~P109(x55051)+P1(f318(f318(f226(x55051),f2(x55051)),f318(f91(x55051),x55052)))
% 182.20/182.06 [5506]~P87(x55061)+P1(f318(f318(f226(x55061),f2(x55061)),f318(f70(x55061),x55062)))
% 182.20/182.06 [5534]E(f318(f318(f75(a898),x55341),f393(x55342,x55341)),x55342)+~P1(f318(f318(f226(a898),x55341),x55342))
% 182.20/182.06 [5546]~E(f318(f94(a1),x55461),f318(f91(a1),x55462))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x55461)))
% 182.20/182.06 [5549]E(f294(a1,x55491,x55492),f179(f905(a1,a894)))+~P1(f318(f318(f227(a1),x55492),x55491))
% 182.20/182.06 [5551]~P110(x55511)+E(f318(f318(f76(x55511),f318(f70(x55511),x55512)),f318(f70(x55511),x55512)),f318(f318(f76(x55511),x55512),x55512))
% 182.20/182.06 [5557]E(f130(a898,f318(f293(a898,x55571),f318(a103,x55572))),f104(a898))+P1(f318(f318(f226(a898),x55571),x55572))
% 182.20/182.06 [5560]E(f318(f318(f30(a1),x55601),x55602),f284(x55601,x55602))+~P1(f318(f318(f226(a1),f2(a1)),x55602))
% 182.20/182.06 [5580]P1(f318(f128(x55801),x55802))+~P1(f318(f128(x55801),f318(f158(x55801),x55802)))
% 182.20/182.06 [5581]P1(f318(f128(x55811),x55812))+~P1(f318(f128(x55811),f318(f159(x55811),x55812)))
% 182.20/182.06 [5608]P1(f318(f28(a898),x56081))+P1(f318(f318(f320(a898),f801(x56081,x56082)),x56081))
% 182.20/182.06 [5609]P1(f318(f28(a898),x56091))+P1(f318(f318(f320(a898),f866(x56091,x56092)),x56091))
% 182.20/182.06 [5612]P1(f318(f318(f227(a898),x56122),f318(a103,x56121)))+P1(f318(f318(f227(a898),x56121),x56122))
% 182.20/182.06 [5613]E(f40(a1,x56131,x56132),f283(x56131,x56132))+~P1(f318(f318(f226(a1),f2(a1)),x56132))
% 182.20/182.06 [5616]E(f130(a898,f318(f293(a898,x56161),x56162)),f104(a898))+~P1(f318(f318(f226(a898),x56162),x56161))
% 182.20/182.06 [5617]~P65(x56171)+E(f318(f301(x56171,x56171,f74(x56171)),f318(f273(x56171),x56172)),f318(f295(x56171),f318(f74(x56171),x56172)))
% 182.20/182.06 [5618]~P65(x56181)+E(f318(f301(x56181,x56181,f74(x56181)),f318(f292(x56181),x56182)),f318(f274(x56181),f318(f74(x56181),x56182)))
% 182.20/182.06 [5619]~P65(x56191)+E(f318(f301(x56191,x56191,f74(x56191)),f318(f274(x56191),x56192)),f318(f292(x56191),f318(f74(x56191),x56192)))
% 182.20/182.06 [5620]~P65(x56201)+E(f318(f301(x56201,x56201,f74(x56201)),f318(f295(x56201),x56202)),f318(f273(x56201),f318(f74(x56201),x56202)))
% 182.20/182.06 [5631]E(x56311,f179(f905(x56312,a894)))+P1(f318(f318(f320(x56312),f328(x56311,x56312)),x56311))
% 182.20/182.06 [5632]E(x56321,f179(f905(x56322,a894)))+P1(f318(f318(f320(x56322),f878(x56321,x56322)),x56321))
% 182.20/182.06 [5643]~P1(f318(f318(f227(a898),x56431),x56432))+P1(f318(f318(f226(a898),x56431),x56432))
% 182.20/182.06 [5644]~P1(f318(f318(f227(a1),x56441),x56442))+P1(f318(f318(f226(a1),x56441),x56442))
% 182.20/182.06 [5660]E(f42(x56601,x56602),f318(f318(f243(a1,a1),f2(a1)),x56601))+~P1(f318(f318(f227(a1),x56601),x56602))
% 182.20/182.06 [5662]E(f206(f318(f74(a1),x56621),f318(f74(a1),x56622)),f206(x56621,x56622))+~P1(f318(f318(f227(a1),x56622),f2(a1)))
% 182.20/182.06 [5674]E(x56741,x56742)+~E(f318(a3,f318(a103,f318(a20,x56741))),f318(a3,f318(a103,f318(a20,x56742))))
% 182.20/182.06 [5679]E(f42(x56791,x56792),f318(f318(f243(a1,a1),f2(a1)),x56791))+~P1(f318(f318(f226(a1),x56792),f2(a1)))
% 182.20/182.06 [5708]E(f40(a898,f318(f94(a898),x57081),f318(f94(a898),x57082)),f2(a898))+~P1(f318(a184,f318(f94(a1),x57081)))
% 182.20/182.06 [5722]P1(f318(f318(f226(a1),f2(a1)),f800(x57221)))+~P1(f318(x57221,f318(f91(a1),x57222)))
% 182.20/182.06 [5755]P39(f294(a1,x57551,x57552))+~P1(f318(f318(f226(a1),f2(a1)),x57551))
% 182.20/182.06 [5760]~P1(f318(f28(x57601),x57602))+P1(f318(f28(f905(x57601,a894)),f318(f299(x57601),x57602)))
% 182.20/182.06 [5773]E(f318(f318(f75(a1),x57731),f318(f91(a1),f868(x57732,x57731))),x57732)+~P1(f318(f318(f226(a1),x57731),x57732))
% 182.20/182.06 [5781]P1(f318(f318(f226(a898),x57811),x57812))+P1(f318(f318(f226(a898),f318(a103,x57812)),x57811))
% 182.20/182.06 [5825]E(f318(f318(f30(a898),f318(f94(a898),x58251)),f318(f94(a898),x58252)),f2(a898))+~P1(f318(a184,f318(f94(a1),x58251)))
% 182.20/182.06 [5826]E(f318(f318(f76(a898),f318(f94(a898),x58261)),f318(f94(a898),x58262)),f2(a898))+~P1(f318(f318(f227(a1),x58261),a78))
% 182.20/182.06 [5828]P1(f318(f318(f226(a898),x58281),f318(a103,x58282)))+~P1(f318(f318(f226(a898),x58281),x58282))
% 182.20/182.06 [5830]P1(f318(f318(f227(a898),x58301),f318(a103,x58302)))+~P1(f318(f318(f226(a898),x58301),x58302))
% 182.20/182.06 [5832]P1(f318(f318(f227(a898),x58321),f318(a103,x58322)))+~P1(f318(f318(f227(a898),x58321),x58322))
% 182.20/182.06 [5835]~E(x58351,x58352)+P1(f318(f318(f227(a1),x58351),f318(f318(f75(a1),x58352),f73(a1))))
% 182.20/182.06 [5838]E(f40(a1,x58381,x58382),f2(a1))+E(f318(f318(f23(a1),x58382),f40(a1,x58381,x58382)),f40(a1,f318(f74(a1),x58381),x58382))
% 182.20/182.06 [5847]E(x58471,f104(x58472))+P1(f318(f318(f320(x58472),f135(x58472,x58471)),f318(f163(x58472),x58471)))
% 182.20/182.06 [5859]E(f80(f904(a898,a898),f43(x58591,x58592)),f318(f318(f243(a898,a898),f2(a898)),x58591))+~P1(f318(f318(f227(a898),x58591),x58592))
% 182.20/182.06 [5903]E(f318(f318(f23(a898),f318(f94(a898),x59031)),f318(f94(a898),x59032)),f318(f94(a898),x59031))+~P1(f318(f318(f227(a1),x59032),a78))
% 182.20/182.06 [5904]E(f318(f318(f75(a898),f318(f94(a898),x59041)),f318(f94(a898),x59042)),f318(f94(a898),x59042))+~P1(f318(f318(f227(a1),x59041),a78))
% 182.20/182.06 [5911]E(f318(a103,f318(f318(f75(a898),x59111),f383(x59112,x59111))),x59112)+~P1(f318(f318(f227(a898),x59111),x59112))
% 182.20/182.06 [5935]P1(f318(x59351,x59352))+~P1(f318(x59351,f318(a84,f525(x59352,x59351))))
% 182.20/182.06 [5936]P1(f318(x59361,x59362))+~P1(f318(x59361,f318(a3,f797(x59362,x59361))))
% 182.20/182.06 [5945]~P1(f318(f318(f227(a898),x59451),f318(a103,x59452)))+P1(f318(f318(f226(a898),x59451),x59452))
% 182.20/182.06 [5995]E(f318(f318(f300(a898),x59951),f318(f293(a898,x59952),x59951)),f318(f293(a898,x59952),f318(a103,x59951)))+~P1(f318(f318(f226(a898),x59952),x59951))
% 182.20/182.06 [5998]E(x59981,f104(x59982))+E(f318(f318(f125(x59982),f105(x59982,x59981)),f318(f318(f142(x59982),f135(x59982,x59981)),f104(x59982))),x59981)
% 182.20/182.06 [6015]P1(f318(f28(x60151),x60152))+~P1(f318(f318(f227(a898),f2(a898)),f318(f29(x60151),x60152)))
% 182.20/182.06 [6019]~E(x60191,f179(f905(x60192,a894)))+~P1(f318(f318(f227(a898),f2(a898)),f318(f29(x60192),x60191)))
% 182.20/182.06 [6031]~P1(f318(f318(f227(a898),x60311),x60312))+P1(f318(f318(f226(a898),f318(a103,x60311)),x60312))
% 182.20/182.06 [6035]~P82(x60351)+E(f141(x60351,x60351,f5(x60351),f143(x60351,x60352)),f130(x60351,f318(f163(x60351),x60352)))
% 182.20/182.06 [6038]E(x60381,f104(x60382))+P1(f318(f318(f320(x60382),f318(f132(x60382),x60381)),f318(f163(x60382),x60381)))
% 182.20/182.06 [6044]~P109(x60441)+P1(f318(f318(f227(x60441),x60442),f318(f318(f75(x60441),x60442),f73(x60441))))
% 182.20/182.06 [6046]~P87(x60461)+P1(f318(f318(f226(x60461),f318(f74(x60461),x60462)),f318(f70(x60461),x60462)))
% 182.20/182.06 [6060]~E(x60601,x60602)+E(f281(a898,f278(a898),x60601,x60602),f318(f318(f300(a898),x60601),f179(f905(a898,a894))))
% 182.20/182.06 [6078]P1(f318(f28(a898),x60781))+~P1(f318(f318(f226(a898),f866(x60781,x60782)),x60782))
% 182.20/182.06 [6079]P1(f318(f28(a898),x60791))+~P1(f318(f318(f227(a898),f801(x60791,x60792)),x60792))
% 182.20/182.06 [6082]~P1(f318(f28(f904(x60821,x60821)),x60822))+P1(f318(f28(x60821),f318(f272(x60821),x60822)))
% 182.20/182.06 [6138]E(f281(a898,f278(a898),x61381,x61382),f179(f905(a898,a894)))+P1(f318(f318(f278(a898),x61381),x61382))
% 182.20/182.06 [6141]~P1(f318(f318(f227(a898),x61412),f318(a103,x61411)))+~P1(f318(f318(f227(a898),x61411),x61412))
% 182.20/182.06 [6142]~P108(x61421)+E(f318(f318(f92(f905(x61421,a894)),f318(f292(x61421),x61422)),f318(f274(x61421),x61422)),f318(f318(f300(x61421),x61422),f179(f905(x61421,a894))))
% 182.20/182.06 [6154]P1(f318(f28(x61541),x61542))+~P1(f318(f28(f905(x61541,a894)),f318(f299(x61541),x61542)))
% 182.20/182.06 [6176]P1(f318(f318(f226(a898),f318(a103,x61761)),f318(a103,x61762)))+~P1(f318(f318(f226(a898),x61761),x61762))
% 182.20/182.06 [6177]P1(f318(f318(f226(a898),f318(a20,x61771)),f318(a20,x61772)))+~P1(f318(f318(f226(a90),x61771),x61772))
% 182.20/182.06 [6178]P1(f318(f318(f226(a90),f318(a3,x61781)),f318(a3,x61782)))+~P1(f318(f318(f226(a898),x61781),x61782))
% 182.20/182.06 [6180]P1(f318(f318(f227(a898),f318(a103,x61801)),f318(a103,x61802)))+~P1(f318(f318(f227(a898),x61801),x61802))
% 182.20/182.06 [6181]P1(f318(f318(f227(a898),f318(a20,x61811)),f318(a20,x61812)))+~P1(f318(f318(f227(a90),x61811),x61812))
% 182.20/182.06 [6182]P1(f318(f318(f227(a90),f318(a3,x61821)),f318(a3,x61822)))+~P1(f318(f318(f227(a898),x61821),x61822))
% 182.20/182.06 [6187]E(x61871,x61872)+~E(f318(f301(a898,a1,f91(a1)),x61871),f318(f301(a898,a1,f91(a1)),x61872))
% 182.20/182.06 [6203]P1(f318(f318(f226(a898),x62031),x62032))+~P1(f318(f318(f226(a898),f318(a103,x62031)),x62032))
% 182.20/182.06 [6206]P1(f318(f318(f227(a898),x62061),x62062))+~P1(f318(f318(f226(a898),f318(a103,x62061)),x62062))
% 182.20/182.06 [6207]P1(f318(f318(f227(a898),x62071),x62072))+~P1(f318(f318(f227(a898),f318(a103,x62071)),x62072))
% 182.20/182.06 [6227]E(f40(a1,x62271,x62272),f2(a1))+E(f318(f318(f23(a1),f40(a1,x62271,x62272)),x62272),f40(a1,x62271,f318(f74(a1),x62272)))
% 182.20/182.06 [6295]E(f318(f29(f905(x62951,a894)),f318(f299(x62951),x62952)),f318(f318(f235(a898),f318(a103,f318(a103,f2(a898)))),f318(f29(x62951),x62952)))+~P1(f318(f28(x62951),x62952))
% 182.20/182.06 [6298]E(x62981,f104(x62982))+E(f318(f318(f155(x62982),x62981),f318(f318(f23(a898),f318(f180(f899(x62982)),x62981)),f73(a898))),f135(x62982,x62981))
% 182.20/182.06 [6320]E(x63201,f104(x63202))+E(f318(f318(f125(x63202),f318(f162(x63202),x63201)),f318(f318(f142(x63202),f318(f132(x63202),x63201)),f104(x63202))),f318(f158(x63202),x63201))
% 182.20/182.06 [6353]~P1(f318(f28(x63531),f31(f905(x63531,a894),x63532)))+P1(f318(f28(f905(x63531,a894)),x63532))
% 182.20/182.06 [6375]P1(f318(f318(f226(a898),f318(f94(a898),x63751)),f318(f94(a898),x63752)))+~P1(f318(f318(f226(a1),x63751),a78))
% 182.20/182.06 [6399]~P1(f318(f318(f227(a1),x63991),x63992))+P1(f318(f318(f226(a1),x63991),f318(f318(f23(a1),x63992),f73(a1))))
% 182.20/182.06 [6400]~P1(f318(f318(f226(a1),x64001),x64002))+P1(f318(f318(f227(a1),x64001),f318(f318(f75(a1),x64002),f73(a1))))
% 182.20/182.06 [6401]~P1(f318(f318(f227(a1),x64011),x64012))+P1(f318(f318(f227(a1),x64011),f318(f318(f75(a1),x64012),f73(a1))))
% 182.20/182.06 [6403]~P1(f318(f318(f226(a1),x64031),x64032))+P1(f318(f318(f226(a898),f318(f94(a898),x64031)),f318(f94(a898),x64032)))
% 182.20/182.06 [6405]~P1(f318(f318(f226(a898),x64051),x64052))+P1(f318(f318(f226(a1),f318(f91(a1),x64051)),f318(f91(a1),x64052)))
% 182.20/182.06 [6406]~P1(f318(f318(f226(a1),x64061),x64062))+P1(f318(f318(f226(a1),f318(f94(a1),x64061)),f318(f94(a1),x64062)))
% 182.20/182.06 [6408]~P1(f318(f318(f227(a898),x64081),x64082))+P1(f318(f318(f227(a1),f318(f91(a1),x64081)),f318(f91(a1),x64082)))
% 182.20/182.06 [6409]~P1(f318(f318(f227(a1),x64091),x64092))+P1(f318(f318(f227(a1),f318(f94(a1),x64091)),f318(f94(a1),x64092)))
% 182.20/182.06 [6429]~P1(f318(f318(f226(a898),x64291),x64292))+~P1(f318(f318(f226(a898),f318(a103,x64292)),x64291))
% 182.20/182.06 [6472]~P1(f318(f318(f226(a898),f318(a103,x64721)),f318(a103,x64722)))+P1(f318(f318(f226(a898),x64721),x64722))
% 182.20/182.06 [6473]~P1(f318(f318(f226(a90),f318(a3,x64731)),f318(a3,x64732)))+P1(f318(f318(f226(a898),x64731),x64732))
% 182.20/182.06 [6474]~P1(f318(f318(f226(a898),f318(a20,x64741)),f318(a20,x64742)))+P1(f318(f318(f226(a90),x64741),x64742))
% 182.20/182.06 [6476]~P1(f318(f318(f227(a898),f318(a103,x64761)),f318(a103,x64762)))+P1(f318(f318(f227(a898),x64761),x64762))
% 182.20/182.06 [6477]~P1(f318(f318(f227(a90),f318(a3,x64771)),f318(a3,x64772)))+P1(f318(f318(f227(a898),x64771),x64772))
% 182.20/182.06 [6478]~P1(f318(f318(f227(a898),f318(a95,x64781)),f318(a95,x64782)))+P1(f318(f318(f227(a1),x64781),x64782))
% 182.20/182.06 [6479]~P1(f318(f318(f227(a898),f318(a20,x64791)),f318(a20,x64792)))+P1(f318(f318(f227(a90),x64791),x64792))
% 182.20/182.06 [6521]~P1(f318(f318(f227(a898),f318(a95,x65212)),f318(a95,x65211)))+P1(f318(f318(f227(a1),f2(a1)),x65211))
% 182.20/182.06 [6552]P1(f318(f318(f226(a1),f2(a1)),f40(a1,x65521,x65522)))+~P1(f318(f318(f227(a1),f2(a1)),x65522))
% 182.20/182.06 [6718]P36(x67181,x67182)+~E(f318(f318(f280(x67181,x67181,x67181),x67182),x67182),f179(f905(f904(x67181,x67181),a894)))
% 182.20/182.06 [6734]~P36(x67341,x67342)+P36(x67341,f318(f318(f280(x67341,x67341,x67341),x67342),x67342))
% 182.20/182.06 [6745]P1(f318(f318(f226(a1),x67451),x67452))+~P1(f318(f318(f227(a1),x67451),f318(f318(f75(a1),x67452),f73(a1))))
% 182.20/182.06 [6746]P1(f318(f318(f227(a1),x67461),x67462))+~P1(f318(f318(f226(a1),x67461),f318(f318(f23(a1),x67462),f73(a1))))
% 182.20/182.06 [6749]P1(f318(f318(f226(a898),x67491),x67492))+~P1(f318(f318(f226(a1),f318(f91(a1),x67491)),f318(f91(a1),x67492)))
% 182.20/182.06 [6750]P1(f318(f318(f226(a1),x67501),x67502))+~P1(f318(f318(f226(a1),f318(f94(a1),x67501)),f318(f94(a1),x67502)))
% 182.20/182.06 [6752]P1(f318(f318(f227(a898),x67521),x67522))+~P1(f318(f318(f227(a1),f318(f91(a1),x67521)),f318(f91(a1),x67522)))
% 182.20/182.06 [6753]P1(f318(f318(f227(a1),x67531),x67532))+~P1(f318(f318(f227(a898),f318(f94(a898),x67531)),f318(f94(a898),x67532)))
% 182.20/182.06 [6754]P1(f318(f318(f227(a1),x67541),x67542))+~P1(f318(f318(f227(a1),f318(f94(a1),x67541)),f318(f94(a1),x67542)))
% 182.20/182.06 [6827]~E(f281(a898,f278(a898),x68271,x68272),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x68271),x68272))
% 182.20/182.06 [6854]~E(f676(x68542,x68541),f104(x68541))+E(f318(f133(f899(x68541),f899(x68541),f125(x68541),f104(x68541)),x68542),f104(x68541))
% 182.20/182.06 [6855]~E(f682(x68552,x68551),f104(x68551))+E(f318(f133(f899(x68551),f899(x68551),f125(x68551),f104(x68551)),x68552),f104(x68551))
% 182.20/182.06 [6859]~P5(x68591)+E(f318(f133(x68591,x68591,f92(x68591),f233(x68591)),x68592),f32(x68591,f318(f163(x68591),x68592)))
% 182.20/182.06 [6860]~P5(x68601)+E(f318(f133(x68601,x68601,f101(x68601),f179(x68601)),x68602),f31(x68601,f318(f163(x68601),x68602)))
% 182.20/182.06 [6874]E(x68741,f2(a90))+E(f318(f318(f75(a898),f318(a20,f318(f318(f23(a90),x68741),f73(a90)))),f318(a103,x68742)),f318(f318(f75(a898),f318(a20,x68741)),x68742))
% 182.20/182.06 [6923]P1(f318(f318(f227(a1),f318(f318(f23(a1),x69231),x69232)),f2(a1)))+~P1(f318(f318(f227(a1),x69231),x69232))
% 182.20/182.06 [6948]~P82(x69481)+E(f318(f318(f101(f905(x69481,a894)),f318(f318(f300(x69481),x69482),f179(f905(x69481,a894)))),f318(f295(x69481),x69482)),f318(f274(x69481),x69482))
% 182.20/182.06 [7026]~P58(x70261,x70262)+P36(x70261,f318(f253(f904(x70261,x70261)),f318(f248(x70261,x70261,a894),x70262)))
% 182.20/182.06 [7027]~P58(x70271,x70272)+P56(x70271,f318(f253(f904(x70271,x70271)),f318(f248(x70271,x70271,a894),x70272)))
% 182.20/182.06 [7028]~P48(x70281,x70282)+P37(x70281,f318(f253(f904(x70281,x70281)),f318(f248(x70281,x70281,a894),x70282)))
% 182.20/182.06 [7029]~P49(x70291,x70292)+P50(x70291,f318(f253(f904(x70291,x70291)),f318(f248(x70291,x70291,a894),x70292)))
% 182.20/182.06 [7030]E(x70301,f179(f905(x70302,a894)))+~P1(f318(f318(f226(f905(x70302,a894)),x70301),f179(f905(x70302,a894))))
% 182.20/182.06 [7114]~P1(f318(f318(f227(a898),f2(a898)),x71142))+P1(f318(f318(f226(a898),f40(a898,x71141,x71142)),x71142))
% 182.20/182.06 [7115]~P1(f318(f318(f226(a1),f2(a1)),x71151))+P1(f318(f318(f226(a1),f40(a1,x71151,x71152)),x71151))
% 182.20/182.06 [7116]~P1(f318(f318(f227(a898),f2(a898)),x71162))+P1(f318(f318(f227(a898),f40(a898,x71161,x71162)),x71162))
% 182.20/182.06 [7118]~P1(f318(f318(f227(a1),f2(a1)),x71182))+P1(f318(f318(f227(a1),f40(a1,x71181,x71182)),x71182))
% 182.20/182.06 [7194]~P108(x71941)+E(f318(f318(f23(f905(x71941,a894)),f318(f318(f300(x71941),x71942),f179(f905(x71941,a894)))),f318(f273(x71941),x71942)),f318(f318(f300(x71941),x71942),f179(f905(x71941,a894))))
% 182.20/182.06 [7269]~P42(x72691,x72692)+P51(x72691,f233(f905(x72691,a894)),f318(f253(f904(x72691,x72691)),f318(f248(x72691,x72691,a894),x72692)))
% 182.20/182.06 [7270]P1(f318(x72701,x72702))+P1(f318(f318(f320(f905(f904(a898,a898),a894)),f525(x72702,x72701)),a89))
% 182.20/182.06 [7313]E(f318(f318(f125(a898),f130(a898,f318(f293(a898,x73131),x73132))),f318(f318(f142(a898),x73132),f104(a898))),f130(a898,f318(f293(a898,x73131),f318(a103,x73132))))+~P1(f318(f318(f226(a898),x73131),x73132))
% 182.20/182.06 [7465]E(x74651,f2(a898))+~E(f318(f133(a898,a898,f75(a898),x74651),x74652),f2(a898))
% 182.20/182.06 [7490]~P1(f318(f318(f227(a1),f318(f318(f23(a1),x74901),x74902)),f2(a1)))+P1(f318(f318(f227(a1),x74901),x74902))
% 182.20/182.06 [7519]P36(x75191,x75192)+~P36(x75191,f318(f318(f280(x75191,x75191,x75191),x75192),x75192))
% 182.20/182.06 [7544]~P1(f318(f318(f226(a898),f318(a103,x75441)),x75442))+P1(f176(a894,a230,f318(f226(a898),x75441),x75442))
% 182.20/182.06 [7698]P24(a898,a898,f318(f318(f7(a898,a898,a898),f23(a898)),x76981),x76982)+P1(f318(f318(f320(a898),f527(x76981,x76982)),x76982))
% 182.20/182.06 [7756]E(f318(f318(f318(f59(a898,x77561,f75(a898)),f318(f16(a898,x77561),f73(a898))),f2(a898)),x77562),f318(f29(x77561),x77562))+~P1(f318(f28(x77561),x77562))
% 182.20/182.06 [7798]P24(a898,a898,f318(f318(f7(a898,a898,a898),f23(a898)),x77981),x77982)+~P1(f318(f318(f226(a898),x77981),f527(x77981,x77982)))
% 182.20/182.06 [7854]P36(x78541,x78542)+P1(f318(f318(f226(f905(x78541,a894)),f523(x78542,x78541)),f318(f276(x78541,x78541,x78542),f523(x78542,x78541))))
% 182.20/182.06 [7859]P58(x78591,x78592)+~P36(x78591,f318(f253(f904(x78591,x78591)),f318(f248(x78591,x78591,a894),x78592)))
% 182.20/182.06 [7860]P48(x78601,x78602)+~P37(x78601,f318(f253(f904(x78601,x78601)),f318(f248(x78601,x78601,a894),x78602)))
% 182.20/182.06 [7861]P49(x78611,x78612)+~P50(x78611,f318(f253(f904(x78611,x78611)),f318(f248(x78611,x78611,a894),x78612)))
% 182.20/182.06 [7929]P1(f318(f318(f226(a898),f318(a103,x79291)),x79292))+~P1(f176(a894,a230,f318(f226(a898),x79291),x79292))
% 182.20/182.06 [7986]P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x79861),x79862)),f298(a898,a308)))+~P1(f318(f318(f226(a898),x79861),x79862))
% 182.20/182.06 [8082]P42(x80821,x80822)+~P51(x80821,f233(f905(x80821,a894)),f318(f253(f904(x80821,x80821)),f318(f248(x80821,x80821,a894),x80822)))
% 182.20/182.06 [8137]~P1(f318(f128(x81371),x81372))+P1(f318(f128(f905(x81371,a894)),f318(f318(f145(f899(x81371),f905(x81371,a894)),f163(x81371)),f49(x81371,x81372))))
% 182.20/182.06 [8338]~P36(x83381,f318(f277(x83381,x83381),x83382))+P36(x83381,f318(f277(x83381,x83381),f318(f318(f280(x83381,x83381,x83381),x83382),f298(x83381,x83382))))
% 182.20/182.06 [8350]P149(x83501,f318(f318(f300(a893),f318(a909,x83502)),f179(f905(a893,a894))))+~P149(f318(f318(f300(a893),f318(a909,x83502)),x83501),f318(f318(f300(a893),f910(f223(a895,f33(x83502)))),f179(f905(a893,a894))))
% 182.20/182.06 [8438]P25(x84381,a898,f805(x84382,x84381),x84382,f318(f293(a898,f2(a898)),f318(f29(x84381),x84382)))+~P1(f318(f28(x84381),x84382))
% 182.20/182.06 [8439]P25(a898,x84391,f806(x84392,x84391),f318(f293(a898,f2(a898)),f318(f29(x84391),x84392)),x84392)+~P1(f318(f28(x84391),x84392))
% 182.20/182.06 [8456]P25(a898,x84561,f807(x84562,x84561),f294(a898,f73(a898),f318(f29(x84561),x84562)),x84562)+~P1(f318(f28(x84561),x84562))
% 182.20/182.06 [8466]P1(f318(f28(f904(x84661,x84661)),f318(f318(f280(x84661,x84661,x84661),x84662),f298(x84661,x84662))))+~P1(f318(f28(f904(x84661,x84661)),x84662))
% 182.20/182.06 [8493]E(x84931,f2(a1))+P1(f318(f44(x84932,x84931),f318(f318(f243(a1,a1),f318(f318(f30(a1),x84932),x84931)),f40(a1,x84932,x84931))))
% 182.20/182.06 [8506]~P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x85061),x85062)),f298(a898,a308)))+P1(f318(f318(f226(a898),x85061),x85062))
% 182.20/182.06 [8523]~P79(x85231)+E(f318(f133(x85231,x85231,f318(f7(x85231,x85231,x85231),f75(x85231)),f2(x85231)),f318(f159(x85231),x85232)),f318(f133(x85231,x85231,f75(x85231),f2(x85231)),x85232))
% 182.20/182.06 [8694]~P82(x86941)+E(f318(f133(f899(x86941),x86941,f318(f7(x86941,f899(x86941),f899(x86941)),f139(x86941,x86941,f5(x86941))),f104(x86941)),x86942),f141(x86941,x86941,f5(x86941),x86942))
% 182.20/182.06 [8805]~P56(x88051,f318(f253(f904(x88051,x88051)),f318(f248(x88051,x88051,a894),x88052)))+P56(x88051,f318(f253(f904(x88051,x88051)),f318(f248(x88051,x88051,a894),f234(x88051,x88051,x88052))))
% 182.20/182.06 [8819]P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x88191),x88192)),f318(f318(f280(a898,a898,a898),a308),f298(a898,a308))))+~P1(f318(f318(f227(a898),x88191),x88192))
% 182.20/182.06 [8865]~P1(f318(f28(f904(x88651,x88651)),f318(f318(f280(x88651,x88651,x88651),x88652),f298(x88651,x88652))))+P1(f318(f28(f904(x88651,x88651)),x88652))
% 182.20/182.06 [8923]~P56(x89231,f318(f253(f904(x89231,x89231)),f318(f248(x89231,x89231,a894),f234(x89231,x89231,x89232))))+P56(x89231,f318(f253(f904(x89231,x89231)),f318(f248(x89231,x89231,a894),x89232)))
% 182.20/182.06 [9124]P56(x91241,x91242)+P1(f318(f318(f320(f904(x91241,x91241)),f318(f318(f243(x91241,x91241),f555(x91242,x91241)),f555(x91242,x91241))),f318(f318(f280(x91241,x91241,x91241),x91242),f298(x91241,x91242))))
% 182.20/182.06 [9125]P56(x91251,x91252)+P1(f318(f318(f320(f904(x91251,x91251)),f318(f318(f243(x91251,x91251),f560(x91252,x91251)),f560(x91252,x91251))),f318(f318(f280(x91251,x91251,x91251),x91252),f298(x91251,x91252))))
% 182.20/182.06 [9243]~P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x92431),x92432)),f318(f318(f280(a898,a898,a898),a308),f298(a898,a308))))+P1(f318(f318(f227(a898),x92431),x92432))
% 182.20/182.06 [5147]~P95(x51471)+E(f318(f318(f75(x51471),f318(f94(x51471),a78)),x51472),x51472)
% 182.20/182.06 [5177]~P97(x51771)+E(f318(f318(f92(x51771),f318(f74(x51771),x51772)),x51772),f179(x51771))
% 182.20/182.06 [5178]~P67(x51781)+E(f318(f318(f75(x51781),f318(f74(x51781),x51782)),x51782),f2(x51781))
% 182.20/182.06 [5179]~P73(x51791)+E(f318(f318(f75(x51791),f318(f74(x51791),x51792)),x51792),f2(x51791))
% 182.20/182.06 [5180]~P97(x51801)+E(f318(f318(f101(x51801),f318(f74(x51801),x51802)),x51802),f233(x51801))
% 182.20/182.06 [5213]~P95(x52131)+E(f318(f318(f76(x52131),f318(f94(x52131),a88)),x52132),f318(f74(x52131),x52132))
% 182.20/182.06 [5370]~P116(x53701)+E(f318(f318(f76(x53701),f318(f74(x53701),f73(x53701))),x53702),f318(f74(x53701),x53702))
% 182.20/182.06 [5416]E(f318(f70(a1),x54161),f73(a1))+~E(f318(f70(a1),f318(f318(f76(a1),x54161),x54162)),f73(a1))
% 182.20/182.06 [5508]~P95(x55081)+E(f318(f318(f75(x55081),f73(x55081)),f318(f94(x55081),x55082)),f318(f94(x55081),f318(f318(f23(a1),x55082),a88)))
% 182.20/182.06 [5561]~P83(x55611)+E(f10(x55611,f318(f318(f300(x55611),x55612),f179(f905(x55611,a894)))),x55612)
% 182.20/182.06 [5562]~P83(x55621)+E(f13(x55621,f318(f318(f300(x55621),x55622),f179(f905(x55621,a894)))),x55622)
% 182.20/182.06 [5563]~P82(x55631)+E(f14(x55631,f318(f318(f300(x55631),x55632),f179(f905(x55631,a894)))),x55632)
% 182.20/182.06 [5564]~P82(x55641)+E(f15(x55641,f318(f318(f300(x55641),x55642),f179(f905(x55641,a894)))),x55642)
% 182.20/182.06 [5565]~P5(x55651)+E(f32(x55651,f318(f318(f300(x55651),x55652),f179(f905(x55651,a894)))),x55652)
% 182.20/182.06 [5566]~P5(x55661)+E(f31(x55661,f318(f318(f300(x55661),x55662),f179(f905(x55661,a894)))),x55662)
% 182.20/182.06 [5588]E(f318(f318(f75(a898),x55881),f318(f318(f23(a898),x55882),x55881)),x55882)+P1(f318(f318(f227(a898),x55882),x55881))
% 182.20/182.06 [5626]E(x56261,f104(x56262))+P1(f318(f318(f227(a898),f2(a898)),f318(f180(f899(x56262)),x56261)))
% 182.20/182.06 [5752]~P82(x57521)+E(f11(x57521,f224(x57521),f318(f318(f300(x57521),x57522),f179(f905(x57521,a894)))),x57522)
% 182.20/182.06 [5753]~P82(x57531)+E(f12(x57531,f225(x57531),f318(f318(f300(x57531),x57532),f179(f905(x57531,a894)))),x57532)
% 182.20/182.06 [5814]E(f318(f318(f23(a898),x58141),f318(f318(f23(a898),x58141),x58142)),x58142)+~P1(f318(f318(f226(a898),x58142),x58141))
% 182.20/182.06 [5815]E(f318(f318(f75(a898),x58151),f318(f318(f23(a898),x58152),x58151)),x58152)+~P1(f318(f318(f226(a898),x58151),x58152))
% 182.20/182.06 [5837]E(f40(a898,f318(f318(f23(a898),x58371),x58372),x58372),f40(a898,x58371,x58372))+P1(f318(f318(f227(a898),x58371),x58372))
% 182.20/182.06 [5848]E(f318(f74(a1),f318(f318(f30(a1),x58481),f318(f74(a1),x58482))),f284(x58481,x58482))+P1(f318(f318(f226(a1),f2(a1)),x58482))
% 182.20/182.06 [5850]~E(x58502,f2(a898))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f235(a898),x58501),x58502)))
% 182.20/182.06 [5913]~P95(x59131)+E(f318(f318(f75(x59131),f318(f74(x59131),f73(x59131))),f318(f94(x59131),x59132)),f318(f94(x59131),f318(f318(f75(a1),x59132),a88)))
% 182.20/182.06 [5915]E(f318(f318(f235(a898),f318(f94(a898),x59151)),x59152),f318(f318(f235(a898),f2(a898)),x59152))+~P1(f318(a184,f318(f94(a1),x59151)))
% 182.20/182.06 [6023]E(f318(f132(a898),f130(a898,f318(f293(a898,x60231),x60232))),x60231)+~P1(f318(f318(f227(a898),x60231),x60232))
% 182.20/182.06 [6039]E(f318(f318(f76(a898),f318(f94(a898),x60391)),f318(f94(a898),x60392)),f318(f94(a898),f318(f318(f76(a1),x60391),x60392)))+P1(f318(f318(f227(a1),x60391),a78))
% 182.20/182.06 [6045]~P125(x60451)+P1(f318(f318(f226(x60451),f2(x60451)),f318(f318(f76(x60451),x60452),x60452)))
% 182.20/182.06 [6057]E(f318(f318(f23(a898),f318(a103,x60571)),x60572),f318(a103,f318(f318(f23(a898),x60571),x60572)))+~P1(f318(f318(f226(a898),x60572),x60571))
% 182.20/182.06 [6061]E(f40(a898,f318(f318(f23(a898),x60611),x60612),x60612),f40(a898,x60611,x60612))+~P1(f318(f318(f226(a898),x60612),x60611))
% 182.20/182.06 [6115]E(f318(f318(f235(a898),f318(a95,x61151)),x61152),f318(a95,f318(f318(f235(a1),x61151),x61152)))+~P1(f318(f318(f226(a1),f2(a1)),x61151))
% 182.20/182.06 [6133]P1(f318(f128(x61331),x61332))+P1(f318(f318(f227(a898),f646(x61332,x61331)),f318(f180(f899(x61331)),x61332)))
% 182.20/182.06 [6134]P1(f318(f128(x61341),x61342))+P1(f318(f318(f227(a898),f650(x61342,x61341)),f318(f180(f899(x61341)),x61342)))
% 182.20/182.06 [6148]~E(x61481,f104(x61482))+~P1(f318(f318(f227(a898),f2(a898)),f318(f180(f899(x61482)),x61481)))
% 182.20/182.06 [6159]E(f135(a898,f130(a898,f318(f293(a898,x61591),x61592))),f318(f318(f23(a898),x61592),f73(a898)))+~P1(f318(f318(f227(a898),x61591),x61592))
% 182.20/182.06 [6162]E(f318(f318(f75(a1),x61621),f318(f91(a1),f318(a103,f874(x61622,x61621)))),x61622)+~P1(f318(f318(f227(a1),x61621),x61622))
% 182.20/182.06 [6169]E(x61691,f2(a898))+E(f318(f318(f76(a898),x61692),f318(f318(f235(a898),x61692),f318(f318(f23(a898),x61691),f73(a898)))),f318(f318(f235(a898),x61692),x61691))
% 182.20/182.06 [6197]E(f318(f318(f76(a898),f318(a95,x61971)),f318(a95,x61972)),f318(a95,f318(f318(f76(a1),x61971),x61972)))+~P1(f318(f318(f226(a1),f2(a1)),x61971))
% 182.20/182.06 [6198]E(f318(f318(f30(a898),f318(a95,x61981)),f318(a95,x61982)),f318(a95,f318(f318(f30(a1),x61981),x61982)))+~P1(f318(f318(f226(a1),f2(a1)),x61981))
% 182.20/182.06 [6213]~P111(x62131)+E(f318(f318(f75(x62131),x62132),x62132),f318(f318(f76(x62131),f318(f318(f75(x62131),f73(x62131)),f73(x62131))),x62132))
% 182.20/182.06 [6236]E(f318(f318(f23(a1),f318(f91(a1),x62361)),f318(f91(a1),x62362)),f318(f91(a1),f318(f318(f23(a898),x62361),x62362)))+~P1(f318(f318(f226(a898),x62362),x62361))
% 182.20/182.06 [6238]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f75(a1),x62381),x62382)),f45(x62381,x62382))+~P1(f318(f318(f226(a1),x62382),f2(a1)))
% 182.20/182.06 [6272]E(f170(x62721,x62722),f104(f899(x62721)))+P1(f318(f318(f320(f899(x62721)),f645(x62722,x62721)),f318(f163(f899(x62721)),x62722)))
% 182.20/182.06 [6282]E(f107(a1,f318(f120(a1),x62821),f119(x62822,f318(f318(f75(a1),x62821),f73(a1)))),f119(x62822,x62821))+P1(f318(f318(f227(a1),x62822),x62821))
% 182.20/182.06 [6337]~P1(f318(f318(f278(a898),x63371),x63372))+P1(f318(f318(f278(a898),x63371),f318(f318(f75(a898),x63372),x63371)))
% 182.20/182.06 [6359]E(f318(f318(f142(a1),x63591),f169(f318(f318(f75(a1),x63591),f73(a1)),x63592)),f169(x63591,x63592))+~P1(f318(f318(f226(a1),x63591),x63592))
% 182.20/182.06 [6381]P149(x63811,x63812)+~P1(f318(f318(f226(f905(a893,a894)),x63812),x63811))
% 182.20/182.06 [6402]~P1(f318(f318(f227(a898),x64022),x64021))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f23(a898),x64021),x64022)))
% 182.20/182.06 [6434]~P1(f318(f318(f227(a898),x64341),f318(a95,x64342)))+P1(f318(f318(f227(a1),f318(f91(a1),x64341)),x64342))
% 182.20/182.06 [6463]~P82(x64631)+E(f318(f318(f101(f905(x64631,a894)),f318(f273(x64631),x64632)),f318(f318(f300(x64631),x64632),f179(f905(x64631,a894)))),f318(f292(x64631),x64632))
% 182.20/182.06 [6464]~P1(f318(f318(f226(a1),f2(a1)),x64641))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f235(a1),x64641),x64642)))
% 182.20/182.06 [6467]~P1(f318(f318(f227(a898),f2(a898)),x64671))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f235(a898),x64671),x64672)))
% 182.20/182.06 [6494]~E(f318(x64941,f2(a898)),f2(a898))+E(f318(f318(f6(a898,a898),x64941),f294(a898,f318(a103,f2(a898)),x64942)),f318(f318(f6(a898,a898),x64941),f294(a898,f2(a898),x64942)))
% 182.20/182.06 [6560]~P95(x65601)+E(f318(f318(f76(x65601),f318(f318(f75(x65601),f73(x65601)),f73(x65601))),f318(f94(x65601),x65602)),f318(f94(x65601),f318(f318(f75(a1),x65602),x65602)))
% 182.20/182.06 [6580]E(f318(f318(f300(a1),x65801),f294(a1,f318(f318(f75(a1),x65801),f73(a1)),x65802)),f294(a1,x65801,x65802))+P1(f318(f318(f227(a1),x65802),x65801))
% 182.20/182.06 [6581]P1(f318(f318(f227(a898),x65811),f318(a95,x65812)))+~P1(f318(f318(f227(a1),f318(f91(a1),x65811)),x65812))
% 182.20/182.06 [6681]P1(f318(f318(f278(a898),x66811),x66812))+~P1(f318(f318(f278(a898),x66811),f318(f318(f75(a898),x66812),x66811)))
% 182.20/182.06 [6687]E(f318(a95,f318(f318(f30(a1),f318(f94(a1),x66871)),f318(f94(a1),x66872))),f318(f318(f30(a898),f318(f94(a898),x66871)),f318(f94(a898),x66872)))+P1(f318(a184,f318(f94(a1),x66871)))
% 182.20/182.06 [6747]P1(f318(f318(f227(a898),x67471),x67472))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f23(a898),x67472),x67471)))
% 182.20/182.06 [6790]P1(f318(f318(f227(a898),f2(a898)),x67901))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f76(a898),x67902),x67901)))
% 182.20/182.06 [6791]P1(f318(f318(f227(a898),f2(a898)),x67911))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f76(a898),x67911),x67912)))
% 182.20/182.06 [6810]~P1(f318(f318(f226(a1),x68101),f2(a1)))+E(f318(f318(f76(a898),f318(a95,f318(f74(a1),x68101))),f318(a95,f318(f74(a1),x68102))),f318(a95,f318(f318(f76(a1),x68101),x68102)))
% 182.20/182.06 [6871]~E(x68712,f179(f905(x68711,a894)))+P1(f318(f318(f226(f905(x68711,a894)),x68712),f318(f74(f905(x68711,a894)),x68712)))
% 182.20/182.06 [6933]~P95(x69331)+E(f318(f318(f75(x69331),f318(f318(f75(x69331),f2(x69331)),f318(f94(x69331),x69332))),f318(f94(x69331),x69332)),f318(f94(x69331),f318(f318(f75(a1),x69332),x69332)))
% 182.20/182.06 [6989]~P1(f318(f318(f227(a1),x69891),x69892))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x69891),f73(a1))),x69892))
% 182.20/182.06 [7059]E(x70591,f2(a898))+~P1(f318(f318(f226(a1),f318(f91(a1),x70592)),f318(f74(a1),f318(f91(a1),x70591))))
% 182.20/182.06 [7060]E(x70601,f2(a898))+~P1(f318(f318(f226(a1),f318(f91(a1),x70601)),f318(f74(a1),f318(f91(a1),x70602))))
% 182.20/182.06 [7162]E(f318(f318(f243(a1,a1),f318(f94(a1),a88)),f318(f318(f75(a1),x71621),x71622)),f45(x71621,x71622))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),x71621),x71622)))
% 182.20/182.06 [7206]~P26(x72061,x72062)+P36(x72061,f318(f242(f905(f904(x72061,x72061),a894),f905(f904(x72061,x72061),a894)),x72062))
% 182.20/182.06 [7225]~P1(f318(f318(f226(a898),f318(a103,f2(a898))),x72251))+P1(f318(f318(f226(a898),f318(a103,f2(a898))),f318(f318(f235(a898),x72251),x72252)))
% 182.20/182.06 [7403]~P1(f318(f318(f226(a1),x74031),x74032))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x74031),x74031)),f318(f318(f75(a1),x74032),x74032)))
% 182.20/182.06 [7408]~P1(f318(f318(f227(a1),x74081),x74082))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x74081),x74081)),f318(f318(f75(a1),x74082),x74082)))
% 182.20/182.06 [7466]~P1(f318(f318(f227(a898),f2(a898)),x74661))+P1(f318(f318(f227(a898),f318(f318(f23(a898),x74661),f318(a103,x74662))),x74661))
% 182.20/182.06 [7501]P1(f318(f318(f226(a898),f318(a103,f2(a898))),x75011))+~P1(f318(f318(f226(a898),f318(a103,f2(a898))),f318(f318(f76(a898),x75012),x75011)))
% 182.20/182.06 [7502]P1(f318(f318(f226(a898),f318(a103,f2(a898))),x75021))+~P1(f318(f318(f226(a898),f318(a103,f2(a898))),f318(f318(f76(a898),x75021),x75022)))
% 182.20/182.06 [7506]P1(f318(f318(f226(a898),f318(f318(f155(a898),x75061),x75062)),f318(f156(a898),x75061)))+~P1(f318(f318(f227(a898),x75062),f318(f180(f899(a898)),x75061)))
% 182.20/182.06 [7543]P1(f318(f318(f227(a1),x75431),x75432))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x75431),f73(a1))),x75432))
% 182.20/182.06 [7584]P1(f318(f28(x75841),f233(f905(x75841,a894))))+~P1(f318(f28(f905(x75842,x75841)),f233(f905(f905(x75842,x75841),a894))))
% 182.20/182.06 [7585]P1(f318(f28(x75851),f233(f905(x75851,a894))))+~P1(f318(f28(f903(x75852,x75851)),f233(f905(f903(x75852,x75851),a894))))
% 182.20/182.06 [7586]P1(f318(f28(x75861),f233(f905(x75861,a894))))+~P1(f318(f28(f903(x75861,x75862)),f233(f905(f903(x75861,x75862),a894))))
% 182.20/182.06 [7625]E(x76251,f179(f905(x76252,a894)))+~P1(f318(f318(f226(f905(x76252,a894)),x76251),f318(f74(f905(x76252,a894)),x76251)))
% 182.20/182.06 [7766]E(f318(f133(f899(x77661),f899(x77661),f125(x77661),f104(x77661)),x77662),f104(x77661))+P1(f318(f318(f320(f899(x77661)),f676(x77662,x77661)),f318(f163(f899(x77661)),x77662)))
% 182.20/182.06 [7767]E(f318(f133(f899(x77671),f899(x77671),f125(x77671),f104(x77671)),x77672),f104(x77671))+P1(f318(f318(f320(f899(x77671)),f682(x77672,x77671)),f318(f163(f899(x77671)),x77672)))
% 182.20/182.06 [8004]P1(f318(f318(f226(a1),x80041),x80042))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x80041),x80041)),f318(f318(f75(a1),x80042),x80042)))
% 182.20/182.06 [8009]P1(f318(f318(f227(a1),x80091),x80092))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x80091),x80091)),f318(f318(f75(a1),x80092),x80092)))
% 182.20/182.06 [8102]~P111(x81021)+E(f318(f318(f76(x81021),f318(f318(f75(x81021),f73(x81021)),f73(x81021))),f318(f318(f6(a898,x81021),f91(x81021)),f294(a898,f73(a898),x81022))),f318(f318(f76(x81021),f318(f91(x81021),x81022)),f318(f318(f75(x81021),f318(f91(x81021),x81022)),f73(x81021))))
% 182.20/182.06 [8151]P1(f318(f318(f320(a898),x81511),x81512))+~P1(f318(f318(f320(a1),f318(f91(a1),x81511)),f318(f301(a898,a1,f91(a1)),x81512)))
% 182.20/182.06 [8310]~P1(f318(f28(x83101),x83102))+E(f318(f301(a898,x83101,f394(x83102,x83101)),f318(f253(a898),f318(f318(f7(a898,a898,a894),f227(a898)),f395(x83102,x83101)))),x83102)
% 182.20/182.06 [8591]P52(x85911,x85912)+P1(f318(f318(f320(f904(x85911,x85911)),f318(f318(f243(x85911,x85911),f457(x85912,x85911)),f457(x85912,x85911))),x85912))
% 182.20/182.06 [8592]P37(x85921,x85922)+P1(f318(f318(f320(f904(x85921,x85921)),f318(f318(f243(x85921,x85921),f767(x85922,x85921)),f772(x85922,x85921))),x85922))
% 182.20/182.06 [8593]P37(x85931,x85932)+P1(f318(f318(f320(f904(x85931,x85931)),f318(f318(f243(x85931,x85931),f772(x85932,x85931)),f773(x85932,x85931))),x85932))
% 182.20/182.06 [8594]P38(x85941,x85942)+P1(f318(f318(f320(f904(x85941,x85941)),f318(f318(f243(x85941,x85941),f686(x85942,x85941)),f685(x85942,x85941))),x85942))
% 182.20/182.06 [8595]P38(x85951,x85952)+P1(f318(f318(f320(f904(x85951,x85951)),f318(f318(f243(x85951,x85951),f685(x85952,x85951)),f686(x85952,x85951))),x85952))
% 182.20/182.06 [8596]P50(x85961,x85962)+P1(f318(f318(f320(f904(x85961,x85961)),f318(f318(f243(x85961,x85961),f783(x85962,x85961)),f784(x85962,x85961))),x85962))
% 182.20/182.06 [8737]~P95(x87371)+E(f318(f318(f23(x87371),f73(x87371)),f318(f94(x87371),x87372)),f318(f94(x87371),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f74(a1),x87372))))
% 182.20/182.06 [8862]~P1(f318(f318(f227(f905(a898,a894)),x88621),x88622))+P1(f318(f318(f227(f905(a1,a894)),f318(f301(a898,a1,f91(a1)),x88621)),f318(f301(a898,a1,f91(a1)),x88622)))
% 182.20/182.06 [8896]~P1(f318(f318(f227(a1),x88961),x88962))+P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x88961),x88961)),a88)),f318(f318(f75(a1),x88962),x88962)))
% 182.20/182.06 [8898]~P1(f318(f318(f227(a1),x88981),x88982))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x88981),x88981)),a88)),f318(f318(f75(a1),x88982),x88982)))
% 182.20/182.06 [8971]~P1(f318(f318(f320(a898),x89711),f318(f163(a898),x89712)))+P1(f318(f318(f226(a898),x89711),f318(f133(a898,a898,f75(a898),f2(a898)),x89712)))
% 182.20/182.06 [9064]P45(x90641,x90642)+~P1(f318(f318(f320(f904(x90641,x90641)),f318(f318(f243(x90641,x90641),f448(x90642,x90641)),f448(x90642,x90641))),x90642))
% 182.20/182.06 [9065]P37(x90651,x90652)+~P1(f318(f318(f320(f904(x90651,x90651)),f318(f318(f243(x90651,x90651),f767(x90652,x90651)),f773(x90652,x90651))),x90652))
% 182.20/182.06 [9066]P50(x90661,x90662)+~P1(f318(f318(f320(f904(x90661,x90661)),f318(f318(f243(x90661,x90661),f784(x90662,x90661)),f783(x90662,x90661))),x90662))
% 182.20/182.06 [9205]~P1(f318(f318(f226(f905(a1,a894)),f318(f301(a898,a1,f91(a1)),x92051)),f318(f301(a898,a1,f91(a1)),x92052)))+P1(f318(f318(f226(f905(a898,a894)),x92051),x92052))
% 182.20/182.06 [9206]~P1(f318(f318(f227(f905(a1,a894)),f318(f301(a898,a1,f91(a1)),x92061)),f318(f301(a898,a1,f91(a1)),x92062)))+P1(f318(f318(f227(f905(a898,a894)),x92061),x92062))
% 182.20/182.06 [9292]P1(f318(f318(f227(a1),x92921),x92922))+~P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92921),x92921)),a88)),f318(f318(f75(a1),x92922),x92922)))
% 182.20/182.06 [9294]P1(f318(f318(f227(a1),x92941),x92942))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x92941),x92941)),a88)),f318(f318(f75(a1),x92942),x92942)))
% 182.20/182.06 [10189]~P106(x101891)+E(f107(f899(x101891),f318(f120(f899(x101891)),f104(x101891)),f318(f318(f318(f87(f900(f899(x101891))),f318(f318(f227(a1),f2(a1)),x101892)),f318(f109(f904(x101891,f899(x101891)),f899(x101891),f122(x101891,f899(x101891),f123(x101891,f318(f318(f23(a1),x101892),f73(a1))),f123(f899(x101891),f318(f318(f23(a1),x101892),f73(a1))))),f318(f248(x101891,f899(x101891),f900(f899(x101891))),f318(f318(f8(f905(f899(x101891),f899(x101891)),f905(f899(x101891),f900(f899(x101891))),x101891),f318(f8(f899(x101891),f900(f899(x101891)),f899(x101891)),f120(f899(x101891)))),f142(x101891))))),f106(f899(x101891)))),f123(f899(x101891),x101892))
% 182.20/182.06 [10211]~P1(f318(f28(x102111),x102112))+E(f318(f180(f899(x102111)),f85(f899(x102111),f318(f318(f18(f899(x102111),a894,a894),f318(f318(f8(a894,f905(a894,a894),f899(x102111)),a316),f318(f318(f7(f899(x102111),f905(x102111,a894),a894),f318(f318(f8(f905(x102111,a894),f905(f905(x102111,a894),a894),f899(x102111)),a315),f163(x102111))),x102112))),f128(x102111)))),f205(x102111,x102112))
% 182.20/182.06 [6158]E(f318(f318(f75(a898),f318(f318(f23(a898),x61581),x61582)),x61582),x61581)+~P1(f318(f318(f226(a898),x61582),x61581))
% 182.20/182.06 [6232]E(f318(f318(f30(a898),f318(f318(f76(a898),x62321),x62322)),x62322),x62321)+~P1(f318(f318(f227(a898),f2(a898)),x62322))
% 182.20/182.06 [6233]E(f318(f318(f30(a898),f318(f318(f76(a898),x62331),x62332)),x62331),x62332)+~P1(f318(f318(f227(a898),f2(a898)),x62331))
% 182.20/182.06 [6237]~P74(x62371)+E(f318(f318(f6(a898,x62371),f318(f155(x62371),x62372)),f318(f293(a898,f2(a898)),f318(f180(f899(x62371)),x62372))),f318(f156(x62371),x62372))
% 182.20/182.06 [6351]E(f40(a898,f318(a103,f318(f318(f76(a898),x63511),x63512)),x63511),f73(a898))+~P1(f318(f318(f227(a898),f73(a898)),x63511))
% 182.20/182.06 [6357]E(f318(a103,f318(f318(f75(a898),f318(f94(a898),x63571)),x63572)),f318(f318(f75(a898),f73(a898)),x63572))+~P1(f318(a184,f318(f94(a1),x63571)))
% 182.20/182.06 [6387]E(f318(a95,f318(f318(f235(a1),f318(f94(a1),x63871)),x63872)),f318(f318(f235(a898),f318(f94(a898),x63871)),x63872))+P1(f318(a184,f318(f94(a1),x63871)))
% 182.20/182.06 [6635]E(f318(f318(f23(a898),x66351),f318(f94(a898),f318(f318(f75(a1),x66352),a88))),f318(f318(f23(a898),f318(a103,x66351)),f318(f94(a898),x66352)))+~P1(f318(f318(f227(a1),a78),x66352))
% 182.20/182.06 [6717]E(x67171,f2(a898))+E(f318(a103,f318(f318(f75(a898),f318(f318(f23(a898),x67171),f73(a898))),x67172)),f318(f318(f75(a898),x67171),x67172))
% 182.20/182.06 [6760]E(x67601,f2(a1))+P1(f318(f318(f227(a1),f2(a1)),f318(f318(f235(a1),f318(f70(a1),x67601)),x67602)))
% 182.20/182.06 [6775]~E(x67752,f2(a898))+P1(f318(f318(f227(a1),f2(a1)),f318(f318(f235(a1),f318(f70(a1),x67751)),x67752)))
% 182.20/182.06 [6813]E(x68131,f2(a898))+E(f318(f318(f75(a898),x68132),f318(f318(f76(a898),f318(f318(f23(a898),x68131),f73(a898))),x68132)),f318(f318(f76(a898),x68131),x68132))
% 182.20/182.06 [6864]~P1(f318(f318(f226(a1),x68641),x68642))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x68641),a88)),x68642))
% 182.20/182.06 [6993]E(f318(f318(f142(a898),x69931),f130(a898,f318(f293(a898,f318(a103,x69931)),x69932))),f130(a898,f318(f293(a898,x69931),x69932)))+~P1(f318(f318(f227(a898),x69931),x69932))
% 182.20/182.06 [7197]E(x71971,x71972)+~E(f318(f318(f23(a1),f318(f318(f75(a1),x71971),x71971)),a88),f318(f318(f23(a1),f318(f318(f75(a1),x71972),x71972)),a88))
% 182.20/182.06 [7200]E(x72001,f104(x72002))+E(f257(x72002,f318(f318(f145(x72002,f904(a90,x72002)),f318(f243(a90,x72002),f73(a90))),x72001)),f266(x72002,x72001))
% 182.20/182.06 [7436]P1(f318(f318(f226(a1),x74361),x74362))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x74361),a88)),x74362))
% 182.20/182.06 [7908]~P1(f318(f318(f227(a898),x79081),x79082))+P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x79081),x79082)),a231))
% 182.20/182.06 [8128]~P1(f318(f318(f227(a90),f2(a90)),x81281))+P1(f318(f318(f227(a90),f318(f242(a90,f904(a90,a90)),f318(f258(x81281),x81282))),x81281))
% 182.20/182.06 [8392]~P37(x83921,x83922)+P37(x83921,f318(f318(f101(f905(f904(x83921,x83921),a894)),x83922),f298(x83921,f179(f905(f904(x83921,x83921),a894)))))
% 182.20/182.06 [8393]~P38(x83931,x83932)+P38(x83931,f318(f318(f101(f905(f904(x83931,x83931),a894)),x83932),f298(x83931,f179(f905(f904(x83931,x83931),a894)))))
% 182.20/182.06 [8442]~P87(x84421)+P1(f318(f318(f226(x84421),f318(f70(x84421),f318(f156(x84421),x84422))),f318(f156(x84421),f318(f318(f145(x84421,x84421),f70(x84421)),x84422))))
% 182.20/182.06 [8468]P1(f318(f318(f227(a898),x84681),x84682))+~P1(f318(f318(f320(f904(a898,a898)),f318(f318(f243(a898,a898),x84681),x84682)),a231))
% 182.20/182.06 [8615]E(f318(f318(f243(x86151,x86151),f571(x86152,x86151)),f571(x86152,x86151)),x86152)+~P1(f318(f318(f320(f904(x86151,x86151)),x86152),f298(x86151,f179(f905(f904(x86151,x86151),a894)))))
% 182.20/182.06 [8659]E(f318(f293(a898,x86591),f318(f318(f75(a898),x86591),f318(f29(a898),x86592))),x86592)+~P1(f318(f318(f226(f905(a898,a894)),x86592),f318(f293(a898,x86591),f318(f318(f75(a898),x86591),f318(f29(a898),x86592)))))
% 182.20/182.06 [8889]P38(x88891,x88892)+~P38(x88891,f318(f318(f101(f905(f904(x88891,x88891),a894)),x88892),f298(x88891,f179(f905(f904(x88891,x88891),a894)))))
% 182.20/182.06 [9015]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x90151),x90151)),a88))),f318(f94(a1),f318(f318(f75(a1),x90152),x90152))),f318(f318(f30(a1),f318(f94(a1),x90151)),f318(f94(a1),x90152)))+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x90152)))
% 182.20/182.06 [9109]~P37(x91091,x91092)+P1(f318(f318(f226(f905(f904(x91091,x91091),a894)),f318(f318(f280(x91091,x91091,x91091),x91092),x91092)),x91092))
% 182.20/182.06 [9135]E(f168(f899(x91351),f318(f318(f8(a894,a894,f899(x91351)),a313),f318(f318(f7(f899(x91351),f899(x91351),a894),a315),f104(x91351))),x91352),f170(x91351,f170(x91351,x91352)))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x91351),a898),f180(f899(x91351))),x91352)))
% 182.20/182.06 [9138]E(f318(f318(f30(a1),f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x91381),x91381)),a88))),f318(f94(a1),f318(f318(f75(a1),x91382),x91382))),f318(f318(f30(a1),f318(f318(f75(a1),f318(f94(a1),x91381)),f73(a1))),f318(f94(a1),x91382)))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x91382)))
% 182.20/182.06 [9987]P1(f318(a184,x99872))+E(f318(f318(f81(a1,a898),f318(f318(f23(a1),x99871),x99872)),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f2(a898))),a95)),f318(f318(f23(a898),f318(a95,x99871)),f318(a95,x99872)))
% 182.20/182.06 [9995]E(f318(f318(f81(a1,a898),f318(f94(a1),f318(f318(f75(a1),x99951),f318(f74(a1),x99952)))),f318(f318(f18(a1,a898,a898),f318(f318(f7(a1,a898,f905(a898,a898)),f318(f318(f8(a894,f905(a898,f905(a898,a898)),a1),f87(a898)),a184)),f2(a898))),a95)),f318(f318(f23(a898),f318(f94(a898),x99951)),f318(f94(a898),x99952)))+P1(f318(f318(f227(a1),x99952),a78))
% 182.20/182.06 [9996]~P26(x99961,x99962)+P1(f318(f318(f226(f905(f904(x99961,x99961),a894)),f318(f318(f280(x99961,x99961,x99961),f318(f242(f905(f904(x99961,x99961),a894),f905(f904(x99961,x99961),a894)),x99962)),f318(f247(f905(f904(x99961,x99961),a894),f905(f904(x99961,x99961),a894)),x99962))),f318(f242(f905(f904(x99961,x99961),a894),f905(f904(x99961,x99961),a894)),x99962)))
% 182.20/182.06 [10051]~E(f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,f905(a898,a894),a894),f320(a898)),x100511))),f318(f318(f7(a898,a898,a894),f227(a898)),f318(a103,x100512))))),f2(a898))+~P1(f318(f318(f320(a898),f2(a898)),x100511))
% 182.20/182.06 [10062]E(f290(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x100621,x100622),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x100622),x100621))
% 182.20/182.06 [10067]E(f291(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x100671,x100672),f179(f905(a898,a894)))+P1(f318(f318(f278(a898),x100671),x100672))
% 182.20/182.06 [10068]E(f288(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x100681,x100682),f179(f905(a898,a894)))+P1(f318(f318(f278(a898),x100681),x100682))
% 182.20/182.06 [10072]E(f291(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x100721,x100722),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x100722),x100721))
% 182.20/182.06 [10074]E(f288(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x100741,x100742),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x100742),x100741))
% 182.20/182.06 [10117]E(f40(a1,f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x101171),x101171)),a88)),f318(f94(a1),f318(f318(f75(a1),x101172),x101172))),f318(f318(f75(a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a1,f318(f94(a1),x101171),f318(f94(a1),x101172)))),f73(a1)))+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x101172)))
% 182.20/182.06 [10126]E(f40(a1,f318(f94(a1),f318(f318(f23(a1),f318(f318(f75(a1),x101261),x101261)),a88)),f318(f94(a1),f318(f318(f75(a1),x101262),x101262))),f318(f318(f23(a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a1,f318(f318(f75(a1),f318(f94(a1),x101261)),f73(a1)),f318(f94(a1),x101262)))),f73(a1)))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x101262)))
% 182.20/182.06 [10180]~P5(x101801)+E(f31(x101801,f318(f253(x101801),f318(f318(f8(f905(x101801,a894),a894,x101801),f83(x101801)),f318(f318(f8(f905(x101801,a894),f905(x101801,a894),x101801),f318(f18(x101801,a894,a894),f318(f318(f8(a894,f905(a894,a894),x101801),a321),f318(f318(f7(x101801,f905(x101801,a894),a894),f320(x101801)),x101802)))),f226(x101801))))),f32(x101801,x101802))
% 182.20/182.06 [10204]~P36(x102041,x102042)+P58(x102041,f318(f318(f7(x102041,f905(f904(x102041,x102041),a894),f905(x102041,a894)),f318(f318(f8(f905(x102041,f905(f905(f904(x102041,x102041),a894),a894)),f905(f905(f904(x102041,x102041),a894),f905(x102041,a894)),x102041),f7(x102041,f905(f904(x102041,x102041),a894),a894)),f318(f318(f8(f905(x102041,f904(x102041,x102041)),f905(x102041,f905(f905(f904(x102041,x102041),a894),a894)),x102041),f318(f8(f904(x102041,x102041),f905(f905(f904(x102041,x102041),a894),a894),x102041),f320(f904(x102041,x102041)))),f243(x102041,x102041)))),x102042))
% 182.20/182.06 [10205]~P8(x102051,f233(f905(x102051,a894)),x102052)+P7(x102051,f318(f318(f7(x102051,f905(f904(x102051,x102051),a894),f905(x102051,a894)),f318(f318(f8(f905(x102051,f905(f905(f904(x102051,x102051),a894),a894)),f905(f905(f904(x102051,x102051),a894),f905(x102051,a894)),x102051),f7(x102051,f905(f904(x102051,x102051),a894),a894)),f318(f318(f8(f905(x102051,f904(x102051,x102051)),f905(x102051,f905(f905(f904(x102051,x102051),a894),a894)),x102051),f318(f8(f904(x102051,x102051),f905(f905(f904(x102051,x102051),a894),a894),x102051),f320(f904(x102051,x102051)))),f243(x102051,x102051)))),x102052))
% 182.20/182.06 [10248]P36(x102481,x102482)+~P58(x102481,f318(f318(f7(x102481,f905(f904(x102481,x102481),a894),f905(x102481,a894)),f318(f318(f8(f905(x102481,f905(f905(f904(x102481,x102481),a894),a894)),f905(f905(f904(x102481,x102481),a894),f905(x102481,a894)),x102481),f7(x102481,f905(f904(x102481,x102481),a894),a894)),f318(f318(f8(f905(x102481,f904(x102481,x102481)),f905(x102481,f905(f905(f904(x102481,x102481),a894),a894)),x102481),f318(f8(f904(x102481,x102481),f905(f905(f904(x102481,x102481),a894),a894),x102481),f320(f904(x102481,x102481)))),f243(x102481,x102481)))),x102482))
% 182.20/182.06 [10249]P8(x102491,f233(f905(x102491,a894)),x102492)+~P7(x102491,f318(f318(f7(x102491,f905(f904(x102491,x102491),a894),f905(x102491,a894)),f318(f318(f8(f905(x102491,f905(f905(f904(x102491,x102491),a894),a894)),f905(f905(f904(x102491,x102491),a894),f905(x102491,a894)),x102491),f7(x102491,f905(f904(x102491,x102491),a894),a894)),f318(f318(f8(f905(x102491,f904(x102491,x102491)),f905(x102491,f905(f905(f904(x102491,x102491),a894),a894)),x102491),f318(f8(f904(x102491,x102491),f905(f905(f904(x102491,x102491),a894),a894),x102491),f320(f904(x102491,x102491)))),f243(x102491,x102491)))),x102492))
% 182.20/182.06 [7383]E(f318(f318(f75(a898),f318(f94(a898),f318(f318(f23(a1),x73831),a88))),x73832),f318(a103,f318(f318(f75(a898),f318(f94(a898),x73831)),x73832)))+P1(f318(a184,f318(f94(a1),x73831)))
% 182.20/182.06 [7825]~P95(x78251)+E(f318(f318(f75(x78251),f318(f318(f75(x78251),f73(x78251)),f318(f94(x78251),x78252))),f318(f94(x78251),x78252)),f318(f94(x78251),f318(f318(f23(a1),f318(f318(f75(a1),x78252),x78252)),a88)))
% 182.20/182.06 [8470]~P1(f318(f318(f226(a1),x84701),x84702))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x84701),x84701)),f318(f318(f23(a1),f318(f318(f75(a1),x84702),x84702)),a88)))
% 182.20/182.06 [8472]~P1(f318(f318(f226(a1),x84721),x84722))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x84721),x84721)),f318(f318(f23(a1),f318(f318(f75(a1),x84722),x84722)),a88)))
% 182.20/182.06 [8900]P1(f318(f318(f226(a1),x89001),x89002))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x89001),x89001)),f318(f318(f23(a1),f318(f318(f75(a1),x89002),x89002)),a88)))
% 182.20/182.06 [8902]P1(f318(f318(f226(a1),x89021),x89022))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),x89021),x89021)),f318(f318(f23(a1),f318(f318(f75(a1),x89022),x89022)),a88)))
% 182.20/182.06 [9194]~P1(f318(f318(f226(a1),x91941),x91942))+P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x91941),x91941)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x91942),x91942)),a88)))
% 182.20/182.06 [9196]~P1(f318(f318(f227(a1),x91961),x91962))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x91961),x91961)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x91962),x91962)),a88)))
% 182.20/182.06 [9468]P1(f318(f318(f226(a1),x94681),x94682))+~P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),x94681),x94681)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x94682),x94682)),a88)))
% 182.20/182.06 [9470]P1(f318(f318(f227(a1),x94701),x94702))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),x94701),x94701)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),x94702),x94702)),a88)))
% 182.20/182.06 [9503]~P1(f318(f28(x95031),x95032))+P1(f318(f28(f905(x95031,a894)),f318(f253(f905(x95031,a894)),f318(f318(f7(f905(x95031,a894),f905(x95031,a894),a894),f226(f905(x95031,a894))),x95032))))
% 182.20/182.06 [9555]~E(f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),x95551),f179(f905(f904(a898,a898),a894)))),f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),x95552),f179(f905(f904(a898,a898),a894)))))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x95551),x95552)),a99))
% 182.20/182.06 [9649]E(f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),x96491),f179(f905(f904(a898,a898),a894)))),f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),x96492),f179(f905(f904(a898,a898),a894)))))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x96491),x96492)),a99))
% 182.20/182.06 [9685]P1(f318(f318(f226(a1),f2(a1)),f618(x96851,x96852)))+E(f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96851)),f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96852)))
% 182.20/182.06 [10188]~P5(x101881)+E(f32(x101881,f318(f253(x101881),f318(f318(f8(f905(x101881,a894),a894,x101881),f83(x101881)),f318(f318(f8(f905(x101881,a894),f905(x101881,a894),x101881),f318(f18(x101881,a894,a894),f318(f318(f8(a894,f905(a894,a894),x101881),a321),f318(f318(f7(x101881,f905(x101881,a894),a894),f320(x101881)),x101882)))),f318(f7(x101881,x101881,a894),f226(x101881)))))),f31(x101881,x101882))
% 182.20/182.06 [10210]P1(f318(f318(f320(a898),f2(a898)),x102101))+E(f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),a898),f320(a898)),a103)),x102101))),f318(f318(f7(a898,a898,a894),f227(a898)),x102102)))),f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,f905(a898,a894),a894),f320(a898)),x102101))),f318(f318(f7(a898,a898,a894),f227(a898)),f318(a103,x102102))))))
% 182.20/182.06 [10268]P1(f318(f318(f278(a898),x102681),x102682))+~P1(f318(f318(f320(a898),x102682),f286(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102681)))
% 182.20/182.06 [10269]P1(f318(f318(f278(a898),x102691),x102692))+~P1(f318(f318(f320(a898),x102691),f289(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102692)))
% 182.20/182.06 [10270]~P1(f318(f318(f278(a898),x102701),x102702))+~P1(f318(f318(f320(a898),x102702),f289(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102701)))
% 182.20/182.06 [10271]~P1(f318(f318(f278(a898),x102711),x102712))+~P1(f318(f318(f320(a898),x102711),f286(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102712)))
% 182.20/182.06 [7692]~P95(x76921)+E(f318(f318(f76(x76921),x76922),f318(f94(x76921),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),x76922)
% 182.20/182.06 [7956]~P95(x79561)+E(f318(f318(f75(x79561),f318(f94(x79561),x79562)),f73(x79561)),f318(f94(x79561),f318(f318(f75(a1),x79562),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))
% 182.20/182.06 [8100]P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x81002)))+E(f318(f318(f235(a1),x81001),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x81002),x81002)),a88))),f73(a1))
% 182.20/182.06 [9530]~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x95302)))+E(f318(f318(f235(a1),x95301),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x95302),x95302)),a88))),f318(f318(f81(a1,a1),f318(f318(f235(a1),x95301),f318(f94(a898),x95302))),f318(f318(f18(a1,a1,a1),f318(f318(f8(a1,f905(a1,a1),a1),f76(a1)),f318(f76(a1),x95301))),f5(a1))))
% 182.20/182.06 [9906]~P1(f318(f318(f226(a898),f628(x99062,x99061)),f318(x99061,f628(x99062,x99061))))+P1(f318(f28(a898),f318(f253(a898),f318(f318(f7(a898,a898,a894),f318(f318(f8(a898,f905(a898,a894),a898),f226(a898)),x99061)),x99062))))
% 182.20/182.06 [10041]~P1(f318(f318(f226(a898),f318(f94(a898),x100411)),f318(a103,x100412)))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x100411),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),f226(a898)),a95)),x100412))))
% 182.20/182.06 [10042]~P1(f318(f318(f227(a898),f318(f94(a898),x100421)),f318(a103,x100422)))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x100421),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),f227(a898)),a95)),x100422))))
% 182.20/182.06 [10101]P1(f318(f318(f226(a898),f318(f94(a898),x101011)),f318(a103,x101012)))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101011),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),f226(a898)),a95)),x101012))))
% 182.20/182.06 [10102]P1(f318(f318(f227(a898),f318(f94(a898),x101021)),f318(a103,x101022)))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101021),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),f227(a898)),a95)),x101022))))
% 182.20/182.06 [10132]~P1(f318(f318(f226(a898),f318(a103,x101322)),f318(f94(a898),x101321)))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101321),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f8(a898,a894,a1),f318(f226(a898),x101322)),a95)))))
% 182.20/182.06 [10133]~P1(f318(f318(f227(a898),f318(a103,x101332)),f318(f94(a898),x101331)))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101331),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f8(a898,a894,a1),f318(f227(a898),x101332)),a95)))))
% 182.20/182.06 [10178]P1(f318(f318(f226(a898),f318(a103,x101781)),f318(f94(a898),x101782)))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101782),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f8(a898,a894,a1),f318(f226(a898),x101781)),a95)))))
% 182.20/182.06 [10179]P1(f318(f318(f227(a898),f318(a103,x101791)),f318(f94(a898),x101792)))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101792),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f8(a898,a894,a1),f318(f227(a898),x101791)),a95)))))
% 182.20/182.06 [10258]~P1(f318(f318(f320(a898),f2(a898)),x102581))+E(f318(a103,f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,f905(a898,a894),a894),f318(f318(f8(a898,f905(f905(a898,a894),a894),a898),f320(a898)),a103)),x102581))),f318(f318(f7(a898,a898,a894),f227(a898)),x102582))))),f318(f29(a898),f318(f253(a898),f318(f318(f18(a898,a894,a894),f318(f318(f8(a894,f905(a894,a894),a898),a316),f318(f318(f7(a898,f905(a898,a894),a894),f320(a898)),x102581))),f318(f318(f7(a898,a898,a894),f227(a898)),f318(a103,x102582))))))
% 182.20/182.06 [8642]~P95(x86421)+E(f318(f318(f76(x86421),f318(f94(x86421),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),x86422),x86422)
% 182.20/182.06 [8703]~P95(x87031)+E(f318(f318(f75(x87031),f73(x87031)),f318(f94(x87031),x87032)),f318(f94(x87031),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),x87032)))
% 182.20/182.06 [8765]~P95(x87651)+E(f318(f318(f23(x87651),f318(f94(x87651),x87652)),f73(x87651)),f318(f94(x87651),f318(f318(f75(a1),x87652),f318(f74(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [8919]~P1(f318(f318(f227(a898),f318(f94(a898),a78)),x89192))+E(f318(f318(f23(a898),x89191),f318(f318(f23(a898),x89192),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f23(a898),f318(a103,x89191)),x89192))
% 182.20/182.06 [9573]~P111(x95731)+E(f318(f318(f76(x95731),x95732),x95732),f318(f318(f235(x95731),x95732),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [9574]~P80(x95741)+E(f318(f318(f235(x95741),x95742),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f76(x95741),x95742),x95742))
% 182.20/182.06 [9576]~P95(x95761)+E(f318(f318(f76(x95761),x95762),f318(f94(x95761),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f75(x95761),x95762),x95762))
% 182.20/182.06 [9824]~P110(x98241)+E(f318(f318(f235(x98241),f318(f70(x98241),x98242)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f235(x98241),x98242),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [9825]~P127(x98251)+E(f318(f318(f235(x98251),f318(f74(x98251),x98252)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f235(x98251),x98252),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [9821]~P95(x98211)+E(f318(f318(f76(x98211),f318(f94(x98211),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x98212),f318(f318(f75(x98211),x98212),x98212))
% 182.20/182.06 [9939]~P110(x99391)+E(f318(f70(x99391),f318(f318(f235(x99391),x99392),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x99391),x99392),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.06 [10003]~P110(x100031)+P1(f318(f318(f226(x100031),f2(x100031)),f318(f318(f235(x100031),x100032),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.20/182.06 [10169]~E(f318(a103,x101692),f318(f94(a898),x101691))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101691),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),a315),a95)),x101692)))))
% 182.20/182.06 [10170]~E(f318(f94(a898),x101701),f318(a103,x101702))+P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x101701),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),a315),a95)),x101702)))))
% 182.20/182.06 [10213]E(f318(a103,x102131),f318(f94(a898),x102132))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x102132),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),a315),a95)),x102131)))))
% 182.20/182.06 [10214]E(f318(f94(a898),x102141),f318(a103,x102142))+~P1(f318(f318(f81(a1,a894),f318(f94(a1),f318(f318(f75(a1),x102141),a88))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a321),f318(f318(f8(a894,a894,a1),a313),a184))),f318(f318(f7(a1,a898,a894),f318(f318(f8(a898,f905(a898,a894),a1),a315),a95)),x102142)))))
% 182.20/182.06 [10259]~P15(x102591,x102592)+P1(f318(f318(f320(f905(x102591,a894)),f792(x102592,x102591)),f318(f318(f8(f905(x102591,a894),a894,f905(x102591,a894)),f82(x102591)),f318(f318(f8(f905(x102591,a894),f905(x102591,a894),f905(x102591,a894)),f318(f18(x102591,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102591),a316),f318(f318(f18(x102591,x102591,a894),x102592),f5(x102591))))),f318(f318(f7(f905(x102591,a894),f905(x102591,f905(x102591,a894)),f905(x102591,a894)),f318(f318(f8(f905(f905(x102591,a894),a894),f905(f905(x102591,f905(x102591,a894)),f905(x102591,a894)),f905(x102591,a894)),f8(f905(x102591,a894),a894,x102591)),a315)),x102592)))))
% 182.20/182.06 [10001]~P95(x100011)+E(f318(f318(f235(x100011),f318(f94(x100011),a88)),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100012)),f73(x100011))
% 182.20/182.06 [10002]~P127(x100021)+E(f318(f318(f235(x100021),f318(f74(x100021),f73(x100021))),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100022)),f73(x100021))
% 182.20/182.06 [10005]~P80(x100051)+E(f318(f318(f235(x100051),x100052),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),a88))),f318(f318(f76(x100051),f318(f318(f76(x100051),x100052),x100052)),x100052))
% 182.20/182.06 [10193]~P1(f318(f318(f226(a1),f2(a1)),x101932))+E(f40(a1,f318(f318(f75(a1),f73(a1)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x101931)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x101932)),f318(f318(f75(a1),f73(a1)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a1,x101931,x101932))))
% 182.20/182.06 [10216]~P1(f318(f318(f226(a1),f2(a1)),x102162))+E(f318(f318(f30(a1),f318(f318(f75(a1),f73(a1)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102161))),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102162)),f318(f318(f30(a1),x102161),x102162))
% 182.20/182.06 [10218]~P1(f318(f318(f226(a1),x102182),f2(a1)))+E(f318(f318(f30(a1),f318(f318(f75(a1),f73(a1)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102181))),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102182)),f318(f318(f30(a1),f318(f318(f75(a1),x102181),f73(a1))),x102182))
% 182.20/182.06 [10219]~P1(f318(f318(f226(a1),x102192),f2(a1)))+E(f40(a1,f318(f318(f75(a1),f73(a1)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102191)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102192)),f318(f318(f23(a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f40(a1,f318(f318(f75(a1),x102191),f73(a1)),x102192))),f73(a1)))
% 182.20/182.06 [10092]~P95(x100921)+E(f318(f318(f235(x100921),f318(f94(x100921),a88)),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100922))),f318(f94(x100921),a88))
% 182.20/182.06 [10094]~P127(x100941)+E(f318(f318(f235(x100941),f318(f74(x100941),f73(x100941))),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100942))),f318(f74(x100941),f73(x100941)))
% 182.20/182.06 [5011]P37(x50111,x50112)+~P8(x50111,x50113,x50112)
% 182.20/182.06 [5013]P50(x50131,x50132)+~P8(x50131,x50133,x50132)
% 182.20/182.06 [5186]~P8(x51861,x51862,x51863)+P51(x51861,x51862,x51863)
% 182.20/182.06 [8166]~E(x81662,x81663)+P33(x81661,x81661,a315,x81662,x81663)
% 182.20/182.06 [8716]E(x87161,x87162)+~P33(x87163,x87163,a315,x87161,x87162)
% 182.20/182.06 [4815]E(f160(x48151,x48152,x48153),f104(x48151))+~E(x48152,f2(a898))
% 182.20/182.06 [4983]~E(f160(x49832,x49831,x49833),f104(x49832))+E(x49831,f2(a898))
% 182.20/182.06 [5191]~P36(x51911,x51913)+P36(x51911,f312(x51911,x51912,x51913))
% 182.20/182.06 [5300]~P28(x53001,x53002,x53003)+P30(a1,x53001,f169(x53002,x53003))
% 182.20/182.06 [5368]P28(x53681,x53682,x53683)+~P30(a1,x53681,f169(x53682,x53683))
% 182.20/182.06 [5440]~P8(x54401,x54402,x54403)+P8(f899(x54401),f152(x54401,x54402),f149(x54401,x54403))
% 182.20/182.06 [5441]~P51(x54411,x54412,x54413)+P51(f899(x54411),f152(x54411,x54412),f149(x54411,x54413))
% 182.20/182.06 [5554]P54(x55541,x55542,x55543)+~E(f542(x55543,x55542,x55541),f543(x55543,x55542,x55541))
% 182.20/182.06 [5555]P53(x55551,x55552,x55553)+~E(f557(x55553,x55552,x55551),f558(x55553,x55552,x55551))
% 182.20/182.06 [8172]~E(x81722,x81723)+P25(x81721,x81721,f25(x81721),x81722,x81723)
% 182.20/182.06 [8724]E(x87241,x87242)+~P25(x87243,x87243,f25(x87243),x87241,x87242)
% 182.20/182.06 [4770]~E(f318(f159(x47702),x47701),x47703)+E(x47701,f318(f159(x47702),x47703))
% 182.20/182.06 [4771]~E(x47712,f318(f159(x47711),x47713))+E(f318(f159(x47711),x47712),x47713)
% 182.20/182.06 [4821]E(x48211,x48212)+~E(f318(f159(x48213),x48211),f318(f159(x48213),x48212))
% 182.20/182.06 [5037]~P7(x50373,x50371)+P1(f318(f318(x50371,x50372),x50372))
% 182.20/182.06 [5038]~P42(x50383,x50381)+P1(f318(f318(x50381,x50382),x50382))
% 182.20/182.06 [5040]~P58(x50401,x50402)+P1(f318(f306(x50401,x50402),x50403))
% 182.20/182.06 [5106]~P36(x51061,x51062)+P36(f899(x51061),f318(f134(x51061,x51062),x51063))
% 182.20/182.06 [5111]~P1(f318(x51112,x51113))+~E(f318(f253(x51111),x51112),f179(f905(x51111,a894)))
% 182.20/182.06 [5112]~P1(f318(x51122,x51123))+~E(f179(f905(x51121,a894)),f318(f253(x51121),x51122))
% 182.20/182.06 [5124]E(x51241,f2(a898))+E(f135(x51242,f160(x51242,x51241,x51243)),x51243)
% 182.20/182.06 [5143]~P1(f318(x51431,x51433))+P1(f318(x51431,f85(x51432,x51431)))
% 182.20/182.06 [5144]~P1(f318(x51441,x51443))+P1(f318(x51441,f717(x51441,x51442)))
% 182.20/182.06 [5156]E(x51561,f2(a898))+E(f318(f132(x51562),f160(x51562,x51561,x51563)),x51563)
% 182.20/182.06 [5262]~E(x52622,x52623)+P1(f318(f318(f320(x52621),x52622),f318(a315,x52623)))
% 182.20/182.06 [5277]~E(x52772,f2(a898))+E(f318(f163(x52771),f160(x52771,x52772,x52773)),f179(f905(x52771,a894)))
% 182.20/182.06 [5322]E(f318(f159(x53221),x53222),f318(f318(f142(x53221),x53223),f104(x53221)))+~E(x53222,f318(f318(f142(x53221),x53223),f104(x53221)))
% 182.20/182.06 [5323]~E(x53233,f318(f318(f142(x53231),x53232),f104(x53231)))+E(f318(f318(f142(x53231),x53232),f104(x53231)),f318(f159(x53231),x53233))
% 182.20/182.06 [5364]~P32(x53641,x53642,x53643)+P32(x53641,x53642,f318(f159(x53641),x53643))
% 182.20/182.06 [5365]~P30(x53651,x53652,x53653)+P30(x53651,x53652,f318(f159(x53651),x53653))
% 182.20/182.06 [5369]E(f318(f29(x53691),f540(x53692,x53693,x53691)),x53692)+~E(f318(f29(x53691),x53693),f318(a103,x53692))
% 182.20/182.06 [5376]~P36(x53761,x53763)+P1(f318(f318(f320(x53761),x53762),f307(x53761,x53763)))
% 182.20/182.06 [5380]~E(f318(f159(x53802),x53801),f318(f318(f142(x53802),x53803),f104(x53802)))+E(x53801,f318(f318(f142(x53802),x53803),f104(x53802)))
% 182.20/182.06 [5381]~E(f318(f318(f142(x53812),x53813),f104(x53812)),f318(f159(x53812),x53811))+E(x53811,f318(f318(f142(x53812),x53813),f104(x53812)))
% 182.20/182.06 [5405]E(f80(f904(a898,a898),f43(x54051,x54052)),x54053)+~P1(f318(f43(x54051,x54052),x54053))
% 182.20/182.06 [5444]P32(x54441,x54442,x54443)+~P32(x54441,x54442,f318(f159(x54441),x54443))
% 182.20/182.06 [5445]P30(x54451,x54452,x54453)+~P30(x54451,x54452,f318(f159(x54451),x54453))
% 182.20/182.06 [5484]P1(f318(f318(x54841,x54842),x54842))+~P1(f318(f261(x54843,x54841),x54842))
% 182.20/182.06 [5485]~P1(f318(f318(x54852,x54853),x54853))+P1(f318(f261(x54851,x54852),x54853))
% 182.20/182.06 [5507]~E(x55072,f104(x55071))+P1(f318(f318(f320(f899(x55071)),x55072),f152(x55071,x55073)))
% 182.20/182.06 [5517]~P51(x55171,x55172,x55173)+P51(x55171,x55172,f318(f277(x55171,x55171),x55173))
% 182.20/182.06 [5518]~P54(x55181,x55182,x55183)+P54(x55181,x55182,f318(f277(x55181,x55181),x55183))
% 182.20/182.06 [5535]~P3(x55351)+E(f40(x55351,f40(x55351,x55352,x55353),x55353),f40(x55351,x55352,x55353))
% 182.20/182.06 [5637]E(x56371,x56372)+~P1(f318(f318(f320(x56373),x56371),f318(a315,x56372)))
% 182.20/182.06 [5684]~P144(x56841)+E(f181(x56841,x56842,f2(a898),x56843),x56843)
% 182.20/182.06 [5706]P51(x57061,x57062,x57063)+~P51(x57061,x57062,f318(f277(x57061,x57061),x57063))
% 182.20/182.06 [5707]P54(x57071,x57072,x57073)+~P54(x57071,x57072,f318(f277(x57071,x57071),x57073))
% 182.20/182.06 [5711]~P82(x57112)+E(f141(x57111,x57112,x57113,f104(x57111)),f104(x57111))
% 182.20/182.06 [5723]E(f161(x57231,x57232,f143(x57231,x57233)),f143(x57231,f161(x57231,x57232,x57233)))+~P1(f318(f128(x57231),x57233))
% 182.20/182.06 [5822]~P1(f318(f318(x58223,x58222),x58222))+P1(f318(f318(f320(x58221),x58222),f261(x58221,x58223)))
% 182.20/182.06 [5824]E(f318(f127(x58241,x58242),x58243),f104(x58241))+P1(f318(x58242,f651(x58243,x58242,x58241)))
% 182.20/182.06 [5892]E(f62(x58921,x58922,x58923),x58922)+P1(f318(x58923,f718(x58922,x58921,x58923)))
% 182.20/182.06 [5988]~P1(f318(f128(x59881),x59882))+P1(f318(f128(x59881),f167(x59881,x59882,x59883)))
% 182.20/182.06 [5989]~P1(f318(f128(x59891),x59893))+P1(f318(f128(x59891),f161(x59891,x59892,x59893)))
% 182.20/182.06 [5990]~P1(f318(f128(x59901),x59903))+P1(f318(f128(x59901),f168(x59901,x59902,x59903)))
% 182.20/182.06 [5991]~P1(f318(f128(x59911),x59913))+P1(f318(f128(x59911),f131(x59911,x59912,x59913)))
% 182.20/182.06 [5992]~P146(x59921,x59923,x59922)+P1(f318(x59921,f40(a1,x59922,x59923)))
% 182.20/182.06 [6009]~P32(x60093,x60091,x60092)+P1(f318(x60091,f736(x60092,x60091,x60093)))
% 182.20/182.06 [6010]~P34(x60103,x60101,x60102)+P1(f318(x60101,f737(x60102,x60101,x60103)))
% 182.20/182.06 [6011]~P34(x60113,x60111,x60112)+P1(f318(x60111,f746(x60112,x60111,x60113)))
% 182.20/182.06 [6012]~P32(x60123,x60121,x60122)+P1(f318(x60121,f775(x60122,x60121,x60123)))
% 182.20/182.06 [6013]~P32(x60133,x60131,x60132)+P1(f318(x60131,f776(x60131,x60132,x60133)))
% 182.20/182.06 [6018]P1(f318(f318(x60181,x60182),x60182))+~P1(f318(f318(f320(x60183),x60182),f261(x60183,x60181)))
% 182.20/182.06 [6033]E(f318(f127(x60331,x60332),x60333),f168(x60331,x60332,x60333))+P1(f318(x60332,f701(x60333,x60332,x60331)))
% 182.20/182.06 [6073]~P1(f318(f128(x60731),x60733))+P1(f318(f128(f899(x60731)),f50(x60731,x60732,x60733)))
% 182.20/182.06 [6109]~P108(x61091)+E(f318(f318(f92(f905(x61091,a894)),f318(f273(x61091),x61092)),f294(x61091,x61092,x61093)),f179(f905(x61091,a894)))
% 182.20/182.06 [6110]~P108(x61101)+E(f318(f318(f92(f905(x61101,a894)),f318(f292(x61101),x61102)),f297(x61101,x61102,x61103)),f179(f905(x61101,a894)))
% 182.20/182.06 [6111]~P108(x61111)+E(f318(f318(f92(f905(x61111,a894)),f318(f292(x61111),x61112)),f296(x61111,x61112,x61113)),f179(f905(x61111,a894)))
% 182.20/182.06 [6346]E(f318(f127(x63461,x63462),x63463),x63463)+~P1(f318(x63462,f652(x63463,x63462,x63461)))
% 182.20/182.06 [6348]E(f318(f318(f300(x63481),f615(x63482,x63483,x63481)),f540(x63482,x63483,x63481)),x63483)+~E(f318(f29(x63481),x63483),f318(a103,x63482))
% 182.20/182.06 [6364]P146(x63641,x63642,x63643)+~P1(f318(x63641,f40(a1,x63643,x63642)))
% 182.20/182.06 [6417]P30(x64171,x64172,x64173)+~P1(f318(x64172,f738(x64173,x64172,x64171)))
% 182.20/182.06 [6418]P30(x64181,x64182,x64183)+~P1(f318(x64182,f744(x64182,x64183,x64181)))
% 182.20/182.06 [6419]P30(x64191,x64192,x64193)+~P1(f318(x64192,f745(x64193,x64192,x64191)))
% 182.20/182.06 [6420]P28(x64201,x64202,x64203)+~P1(f318(x64201,f759(x64203,x64202,x64201)))
% 182.20/182.06 [6421]P29(x64211,x64212,x64213)+~P1(f318(x64211,f837(x64213,x64212,x64211)))
% 182.20/182.06 [6423]E(f168(x64231,x64232,x64233),x64233)+~P1(f318(x64232,f697(x64233,x64232,x64231)))
% 182.20/182.06 [6504]~P1(f318(x65042,f526(x65043,x65042,x65041)))+P1(f318(f239(x65041,x65042),x65043))
% 182.20/182.06 [6505]~P1(f318(x65052,f653(x65053,x65052,x65051)))+P1(f318(f151(x65051,x65052),x65053))
% 182.20/182.06 [6761]~P1(f318(f306(x67611,x67612),f443(x67613,x67612,x67611)))+P1(f318(f306(x67611,x67612),x67613))
% 182.20/182.06 [6762]~P1(f318(f306(x67621,x67622),f450(x67623,x67622,x67621)))+P1(f318(f306(x67621,x67622),x67623))
% 182.20/182.06 [7384]~P3(x73841)+E(f318(f318(f75(x73841),f318(f318(f76(x73841),x73842),f318(f318(f30(x73841),x73843),x73842))),f40(x73841,x73843,x73842)),x73843)
% 182.20/182.06 [7414]P28(x74141,x74142,x74143)+P1(f318(f318(f320(a1),f759(x74143,x74142,x74141)),f294(a1,x74142,x74143)))
% 182.20/182.06 [7846]E(f318(f318(f243(x78461,x78461),f473(x78462,x78463,x78461)),f473(x78462,x78463,x78461)),x78463)+~P1(f318(f318(f320(f904(x78461,x78461)),x78463),f254(x78461,x78462)))
% 182.20/182.06 [7964]~P1(f318(f318(f320(x79641),f485(x79643,x79642,x79641)),f307(x79641,x79643)))+P1(f318(f318(f320(x79641),x79642),f307(x79641,x79643)))
% 182.20/182.06 [7965]~P1(f318(f318(f320(x79651),f545(x79653,x79652,x79651)),f307(x79651,x79653)))+P1(f318(f318(f320(x79651),x79652),f307(x79651,x79653)))
% 182.20/182.06 [7966]~P1(f318(f318(f320(x79661),f547(x79663,x79662,x79661)),f307(x79661,x79663)))+P1(f318(f318(f320(x79661),x79662),f307(x79661,x79663)))
% 182.20/182.06 [8059]P32(a1,x80591,f169(x80592,x80593))+P28(f318(f67(a894,a894,a1,a313),x80591),x80592,x80593)
% 182.20/182.06 [8147]~P3(x81471)+E(f318(f318(f75(x81471),f318(f318(f76(x81471),f318(f318(f30(x81471),x81472),x81473)),x81473)),f40(x81471,x81472,x81473)),x81472)
% 182.20/182.06 [8193]~E(f318(f29(x81931),x81932),f318(a103,x81933))+~P1(f318(f318(f320(x81931),f615(x81933,x81932,x81931)),f540(x81933,x81932,x81931)))
% 182.20/182.06 [8634]~P32(a1,x86341,f169(x86342,x86343))+~P28(f318(f67(a894,a894,a1,a313),x86341),x86342,x86343)
% 182.20/182.06 [8821]P1(f318(f318(f226(f905(f904(x88211,x88211),a894)),f298(x88211,x88212)),f298(x88211,x88213)))+~P1(f318(f318(f226(f905(f904(x88211,x88211),a894)),x88212),f298(x88211,x88213)))
% 182.20/182.06 [9105]E(x91051,f104(x91052))+~P1(f318(f318(f320(f904(f899(x91052),f899(x91052))),f318(f318(f243(f899(x91052),f899(x91052)),x91051),f104(x91052))),f149(x91052,x91053)))
% 182.20/182.06 [9129]E(x91291,f104(x91292))+~P1(f318(f318(f320(f904(f899(x91292),f899(x91292))),f318(f318(f243(f899(x91292),f899(x91292)),f104(x91292)),x91291)),f149(x91292,x91293)))
% 182.20/182.06 [9255]E(f318(f318(f142(x92551),f670(x92552,x92553,x92551)),f672(x92552,x92553,x92551)),x92553)+~P1(f318(f318(f320(f904(f899(x92551),f899(x92551))),f318(f318(f243(f899(x92551),f899(x92551)),f104(x92551)),x92553)),f138(x92551,x92552)))
% 182.20/182.06 [9496]~P125(x94961)+~P1(f318(f318(f227(x94961),f318(f318(f75(x94961),f318(f318(f76(x94961),x94962),x94962)),f318(f318(f76(x94961),x94963),x94963))),f2(x94961)))
% 182.20/182.06 [9547]P1(f318(f28(x95471),x95472))+~P1(f318(f318(f320(f904(f905(x95471,a894),f905(x95471,a894))),f318(f318(f243(f905(x95471,a894),f905(x95471,a894)),x95473),x95472)),f305(x95471)))
% 182.20/182.06 [9850]~P46(x98501,x98502,x98503)+P1(f318(f318(f226(a1),f318(f318(f67(f904(a1,a1),a1,x98501,f242(a1,a1)),f203(x98501)),f221(x98501,x98502,f218(x98501,x98503)))),f2(a1)))
% 182.20/182.06 [9851]~P47(x98511,x98512,x98513)+P1(f318(f318(f227(a1),f318(f318(f67(f904(a1,a1),a1,x98511,f242(a1,a1)),f203(x98511)),f221(x98511,x98512,f218(x98511,x98513)))),f2(a1)))
% 182.20/182.06 [9969]P47(x99691,x99692,x99693)+~P1(f318(f318(f227(a1),f318(f318(f67(f904(a1,a1),a1,x99691,f242(a1,a1)),f203(x99691)),f221(x99691,x99692,f218(x99691,x99693)))),f2(a1)))
% 182.20/182.06 [9970]P46(x99701,x99702,x99703)+~P1(f318(f318(f226(a1),f318(f318(f67(f904(a1,a1),a1,x99701,f242(a1,a1)),f203(x99701)),f221(x99701,x99702,f218(x99701,x99703)))),f2(a1)))
% 182.20/182.06 [10321]~P110(x103211)+~P1(f318(f318(f227(x103211),f318(f318(f75(x103211),f318(f318(f235(x103211),x103212),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x103211),x103213),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f2(x103211)))
% 182.20/182.06 [4800]~E(x48003,f104(x48001))+E(f318(f318(f125(x48001),x48002),x48003),x48002)
% 182.20/182.06 [4801]~E(x48012,f104(x48011))+E(f318(f318(f125(x48011),x48012),x48013),x48013)
% 182.20/182.06 [4807]~E(x48072,f2(a898))+E(f318(f318(f166(x48071),x48072),x48073),f104(x48071))
% 182.20/182.06 [4816]~E(x48163,f104(x48161))+E(f318(f318(f166(x48161),x48162),x48163),f104(x48161))
% 182.20/182.06 [4855]~E(x48551,x48553)+E(x48551,f318(f318(f125(x48552),f104(x48552)),x48553))
% 182.20/182.06 [4946]~P103(x49462)+E(f318(f179(f905(x49461,x49462)),x49463),f179(x49462))
% 182.20/182.06 [4947]~P114(x49472)+E(f318(f233(f905(x49471,x49472)),x49473),f233(x49472))
% 182.20/182.06 [4965]E(x49651,f104(x49652))+~E(f318(f318(f125(x49652),x49653),x49651),x49653)
% 182.20/182.06 [4966]E(x49661,f104(x49662))+~E(f318(f318(f125(x49662),x49661),x49663),x49663)
% 182.20/182.06 [4974]E(x49741,f104(x49742))+~E(f318(f318(f125(x49742),x49743),x49741),f104(x49742))
% 182.20/182.06 [4975]E(x49751,f104(x49752))+~E(f318(f318(f125(x49752),x49751),x49753),f104(x49752))
% 182.20/182.06 [5004]~E(x50042,f2(a898))+E(f318(f318(f76(a898),x50041),x50042),f318(f318(f76(a898),x50043),x50042))
% 182.20/182.06 [5006]~E(x50061,f2(a898))+E(f318(f318(f76(a898),x50061),x50062),f318(f318(f76(a898),x50061),x50063))
% 182.20/182.06 [5064]~P83(x50641)+E(f318(f318(f92(x50641),x50642),x50643),f318(f318(f92(x50641),x50643),x50642))
% 182.20/182.06 [5066]~P102(x50661)+E(f318(f318(f92(x50661),x50662),x50663),f318(f318(f92(x50661),x50663),x50662))
% 182.20/182.06 [5067]~P111(x50671)+E(f318(f318(f75(x50671),x50672),x50673),f318(f318(f75(x50671),x50673),x50672))
% 182.20/182.06 [5068]~P83(x50681)+E(f318(f318(f101(x50681),x50682),x50683),f318(f318(f101(x50681),x50683),x50682))
% 182.20/182.06 [5070]~P104(x50701)+E(f318(f318(f101(x50701),x50702),x50703),f318(f318(f101(x50701),x50703),x50702))
% 182.20/182.06 [5071]~P111(x50711)+E(f318(f318(f76(x50711),x50712),x50713),f318(f318(f76(x50711),x50713),x50712))
% 182.20/182.06 [5073]~P82(x50731)+E(f318(f318(f224(x50731),x50732),x50733),f318(f318(f224(x50731),x50733),x50732))
% 182.20/182.06 [5075]~P82(x50751)+E(f318(f318(f225(x50751),x50752),x50753),f318(f318(f225(x50751),x50753),x50752))
% 182.20/182.06 [5138]E(f40(a898,x51381,x51382),f2(a898))+~E(x51381,f318(f318(f76(a898),x51382),x51383))
% 182.20/182.06 [5139]E(f40(a1,x51391,x51392),f2(a1))+~E(x51391,f318(f318(f76(a1),x51392),x51393))
% 182.20/182.06 [5203]E(x52031,x52032)+~E(f318(f318(f75(a898),x52033),x52031),f318(f318(f75(a898),x52033),x52032))
% 182.20/182.06 [5204]E(x52041,x52042)+~E(f318(f318(f75(a898),x52041),x52043),f318(f318(f75(a898),x52042),x52043))
% 182.20/182.06 [5214]~P97(x52141)+E(f318(f318(f92(x52141),x52142),f318(f74(x52141),x52143)),f318(f318(f23(x52141),x52142),x52143))
% 182.20/182.06 [5215]~P67(x52151)+E(f318(f318(f75(x52151),x52152),f318(f74(x52151),x52153)),f318(f318(f23(x52151),x52152),x52153))
% 182.20/182.06 [5216]~P73(x52161)+E(f318(f318(f75(x52161),x52162),f318(f74(x52161),x52163)),f318(f318(f23(x52161),x52162),x52163))
% 182.20/182.06 [5217]~P116(x52171)+E(f318(f318(f75(x52171),x52172),f318(f74(x52171),x52173)),f318(f318(f23(x52171),x52172),x52173))
% 182.20/182.06 [5218]~P73(x52181)+E(f318(f318(f23(x52181),x52182),f318(f74(x52181),x52183)),f318(f318(f75(x52181),x52182),x52183))
% 182.20/182.06 [5256]~P1(f318(x52563,x52562))+P1(f318(f318(f320(x52561),x52562),x52563))
% 182.20/182.06 [5258]~P74(x52582)+E(f318(f318(f6(x52581,x52582),x52583),f179(f905(x52581,a894))),f2(x52582))
% 182.20/182.06 [5260]~P75(x52602)+E(f318(f318(f9(x52601,x52602),x52603),f179(f905(x52601,a894))),f73(x52602))
% 182.20/182.06 [5312]~E(x53122,f318(f318(f75(a898),x53121),x53123))+P1(f318(f318(f226(a898),x53121),x53122))
% 182.20/182.06 [5315]~E(x53152,f179(f905(x53151,a894)))+E(f318(f318(f55(x53151),x53152),x53153),f179(f905(f905(x53151,a894),a894)))
% 182.20/182.06 [5316]~E(x53162,f179(f905(x53161,a894)))+E(f179(f905(f905(x53161,a894),a894)),f318(f318(f55(x53161),x53162),x53163))
% 182.20/182.06 [5385]~E(f318(f275(x53852,x53853),x53851),f179(f905(x53853,a894)))+E(x53851,f179(f905(f904(x53852,x53853),a894)))
% 182.20/182.06 [5386]~E(f318(f255(x53862,x53863),x53861),f179(f905(x53862,a894)))+E(x53861,f179(f905(f904(x53862,x53863),a894)))
% 182.20/182.06 [5418]E(f318(f275(x54181,x54182),x54183),f179(f905(x54182,a894)))+~E(x54183,f179(f905(f904(x54181,x54182),a894)))
% 182.20/182.06 [5419]E(f318(f255(x54191,x54192),x54193),f179(f905(x54191,a894)))+~E(x54193,f179(f905(f904(x54191,x54192),a894)))
% 182.20/182.06 [5422]E(f265(x54221,x54222,x54223),f318(f318(f23(a90),x54222),x54223))+P1(f318(f318(f227(a90),x54222),x54223))
% 182.20/182.06 [5438]P1(f318(x54381,x54382))+~P1(f318(f318(f320(x54383),x54382),x54381))
% 182.20/182.06 [5477]E(x54771,x54772)+~E(f318(f74(f905(x54773,a894)),x54771),f318(f74(f905(x54773,a894)),x54772))
% 182.20/182.06 [5488]~E(x54881,f179(f905(x54882,a894)))+~P1(f318(f318(f320(x54882),x54883),x54881))
% 182.20/182.06 [5519]~E(x55192,f318(f318(f75(a1),x55191),f318(f91(a1),x55193)))+P1(f318(f318(f226(a1),x55191),x55192))
% 182.20/182.06 [5533]E(f318(f318(f300(x55331),x55332),x55333),x55333)+~P1(f318(f318(f320(x55331),x55332),x55333))
% 182.20/182.06 [5544]E(x55441,f179(f905(x55442,a894)))+~E(f318(f318(f55(x55442),x55441),x55443),f179(f905(f905(x55442,a894),a894)))
% 182.20/182.06 [5545]E(x55451,f179(f905(x55452,a894)))+~E(f179(f905(f905(x55452,a894),a894)),f318(f318(f55(x55452),x55451),x55453))
% 182.20/182.06 [5552]~P128(x55521)+E(f318(f318(f76(x55521),f318(f74(x55521),x55522)),f318(f74(x55521),x55523)),f318(f318(f76(x55521),x55522),x55523))
% 182.20/182.06 [5553]~P60(x55531)+E(f318(f318(f282(x55531),f318(f74(x55531),x55532)),f318(f74(x55531),x55533)),f318(f318(f282(x55531),x55532),x55533))
% 182.20/182.06 [5584]~P1(f318(x55843,x55842))+P1(f318(f318(f320(x55841),x55842),f318(f253(x55841),x55843)))
% 182.20/182.06 [5611]E(x56111,f2(a898))+E(f318(f163(x56112),f160(x56112,x56111,x56113)),f318(f318(f300(x56112),x56113),f179(f905(x56112,a894))))
% 182.20/182.06 [5630]E(f161(x56301,x56302,x56303),x56303)+P1(f318(f318(f320(x56301),x56302),f318(f163(x56301),x56303)))
% 182.20/182.06 [5715]~P1(f318(f128(x57151),x57153))+P1(f318(f128(x57151),f318(f127(x57151,x57152),x57153)))
% 182.20/182.06 [5758]~P3(x57581)+E(f318(f318(f30(x57581),f40(x57581,x57582,x57583)),x57583),f2(x57581))
% 182.20/182.06 [5777]E(f167(x57771,f318(f318(f142(x57771),x57772),f104(x57771)),x57773),f104(x57771))+P1(f318(f318(f320(a898),f2(a898)),x57773))
% 182.20/182.06 [5783]E(x57831,f2(a898))+E(f318(f162(x57832),f160(x57832,x57831,x57833)),f160(x57832,f318(f318(f23(a898),x57831),f73(a898)),x57833))
% 182.20/182.06 [5834]E(f318(f318(f142(x58341),x58342),x58343),f131(x58341,x58342,x58343))+P1(f318(f318(f320(x58341),x58342),f318(f163(x58341),x58343)))
% 182.20/182.06 [5843]E(x58431,x58432)+~E(f318(f318(f76(a898),f318(a103,x58433)),x58431),f318(f318(f76(a898),f318(a103,x58433)),x58432))
% 182.20/182.06 [5844]~E(x58442,f318(f318(f75(a1),x58441),f318(f91(a1),f318(a103,x58443))))+P1(f318(f318(f227(a1),x58441),x58442))
% 182.20/182.06 [5914]~P29(x59141,x59142,x59143)+P30(a898,x59141,f130(a898,f318(f293(a898,x59142),x59143)))
% 182.20/182.06 [5967]~E(x59673,f104(x59671))+E(f318(f318(f318(f174(f899(x59671),f899(x59671)),x59672),f158(x59671)),x59673),f104(x59671))
% 182.20/182.06 [5971]P1(f318(x59711,x59712))+~P1(f318(f318(f320(x59713),x59712),f318(f253(x59713),x59711)))
% 182.20/182.06 [6004]E(x60041,x60042)+~E(f318(f318(f300(x60043),x60041),f179(f905(x60043,a894))),f318(f318(f300(x60043),x60042),f179(f905(x60043,a894))))
% 182.20/182.06 [6020]~P108(x60201)+E(f318(f318(f92(f905(x60201,a894)),f318(f273(x60201),x60202)),f318(f293(x60201,x60202),x60203)),f179(f905(x60201,a894)))
% 182.20/182.06 [6059]E(f131(x60591,x60592,x60593),x60593)+~P1(f318(f318(f320(x60591),x60592),f318(f163(x60591),x60593)))
% 182.20/182.06 [6081]~P65(x60811)+E(f318(f301(x60811,x60811,f74(x60811)),f318(f293(x60811,x60812),x60813)),f296(x60811,f318(f74(x60811),x60813),f318(f74(x60811),x60812)))
% 182.20/182.06 [6092]E(f318(f180(f899(x60921)),f161(x60921,x60922,x60923)),f318(f180(f899(x60921)),x60923))+P1(f318(f318(f320(x60921),x60922),f318(f163(x60921),x60923)))
% 182.20/182.06 [6147]~P108(x61471)+E(f318(f318(f92(f905(x61471,a894)),f318(f293(x61471,x61472),x61473)),f318(f274(x61471),x61473)),f179(f905(x61471,a894)))
% 182.20/182.06 [6167]~P65(x61671)+E(f318(f301(x61671,x61671,f74(x61671)),f294(x61671,x61672,x61673)),f294(x61671,f318(f74(x61671),x61673),f318(f74(x61671),x61672)))
% 182.20/182.06 [6168]~P65(x61681)+E(f318(f301(x61681,x61681,f74(x61681)),f297(x61681,x61682,x61683)),f297(x61681,f318(f74(x61681),x61683),f318(f74(x61681),x61682)))
% 182.20/182.06 [6234]E(f167(x62341,f318(f318(f142(x62341),x62342),f104(x62341)),x62343),f318(f318(f142(x62341),x62342),f104(x62341)))+~P1(f318(f318(f320(a898),f2(a898)),x62343))
% 182.20/182.06 [6239]P29(x62391,x62392,x62393)+~P30(a898,x62391,f130(a898,f318(f293(a898,x62392),x62393)))
% 182.20/182.06 [6242]~P65(x62421)+E(f318(f301(x62421,x62421,f74(x62421)),f296(x62421,x62422,x62423)),f318(f293(x62421,f318(f74(x62421),x62423)),f318(f74(x62421),x62422)))
% 182.20/182.06 [6264]~P4(x62641)+E(f40(x62641,f318(f74(x62641),f40(x62641,x62642,x62643)),x62643),f40(x62641,f318(f74(x62641),x62642),x62643))
% 182.20/182.06 [6362]~P1(f318(f28(f904(x63622,x63621)),x63623))+P1(f318(f28(x63621),f318(f275(x63622,x63621),x63623)))
% 182.20/182.06 [6363]~P1(f318(f28(f904(x63631,x63632)),x63633))+P1(f318(f28(x63631),f318(f255(x63631,x63632),x63633)))
% 182.20/182.06 [6368]~P108(x63681)+E(f318(f318(f92(f905(x63681,a894)),f294(x63681,x63682,x63683)),f318(f295(x63681),x63683)),f179(f905(x63681,a894)))
% 182.20/182.06 [6369]~P108(x63691)+E(f318(f318(f92(f905(x63691,a894)),f297(x63691,x63692,x63693)),f318(f274(x63691),x63693)),f179(f905(x63691,a894)))
% 182.20/182.06 [6370]~P108(x63701)+E(f318(f318(f92(f905(x63701,a894)),f296(x63701,x63702,x63703)),f318(f295(x63701),x63703)),f179(f905(x63701,a894)))
% 182.20/182.06 [6443]E(f318(f318(f155(x64431),x64432),f633(x64432,x64433,x64431)),x64433)+~P1(f318(f318(f320(x64431),x64433),f318(f163(x64431),x64432)))
% 182.20/182.06 [6591]E(x65911,f104(x65912))+~E(f318(f318(f318(f174(f899(x65912),f899(x65912)),x65913),f158(x65912)),x65911),f104(x65912))
% 182.20/182.06 [6697]~P1(f318(f28(f904(x66972,x66971)),x66973))+P1(f318(f28(f904(x66971,x66972)),f318(f277(x66972,x66971),x66973)))
% 182.20/182.06 [6720]E(x67201,x67202)+~E(f281(a898,f278(a898),x67203,x67201),f318(f318(f300(a898),x67202),f179(f905(a898,a894))))
% 182.20/182.06 [6721]E(x67211,x67212)+~E(f281(a898,f278(a898),x67211,x67212),f318(f318(f300(a898),x67213),f179(f905(a898,a894))))
% 182.20/182.06 [6856]P54(x68561,x68562,x68563)+P1(f318(f318(f320(x68561),f543(x68563,x68562,x68561)),x68562))
% 182.20/182.06 [6857]P54(x68571,x68572,x68573)+P1(f318(f318(f320(x68571),f542(x68573,x68572,x68571)),x68572))
% 182.20/182.06 [6867]P1(f318(f306(x68671,x68672),x68673))+P1(f318(f318(x68672,f443(x68673,x68672,x68671)),x68673))
% 182.20/182.06 [6868]P1(f318(f306(x68681,x68682),x68683))+P1(f318(f318(x68682,f450(x68683,x68682,x68681)),x68683))
% 182.20/182.06 [6899]E(f318(f180(f899(x68991)),f161(x68991,x68992,x68993)),f318(f318(f23(a898),f318(f180(f899(x68991)),x68993)),f73(a898)))+~P1(f318(f318(f320(x68991),x68992),f318(f163(x68991),x68993)))
% 182.20/182.06 [6938]P1(f318(f239(x69381,x69382),x69383))+P1(f318(f318(f320(x69381),f526(x69383,x69382,x69381)),x69383))
% 182.20/182.06 [6947]~P1(f318(f28(f904(x69472,x69471)),f318(f277(x69471,x69472),x69473)))+P1(f318(f28(f904(x69471,x69472)),x69473))
% 182.20/182.06 [7006]~P1(f318(f318(f320(x70061),x70062),f318(f163(x70061),f105(x70061,x70063))))+P1(f318(f318(f320(x70061),x70062),f318(f163(x70061),x70063)))
% 182.20/182.06 [7041]E(f318(f127(x70411,x70412),x70413),x70413)+P1(f318(f318(f320(x70411),f652(x70413,x70412,x70411)),f318(f163(x70411),x70413)))
% 182.20/182.06 [7057]E(f318(f127(x70571,x70572),x70573),f104(x70571))+P1(f318(f318(f320(x70571),f651(x70573,x70572,x70571)),f318(f163(x70571),x70573)))
% 182.20/182.06 [7082]P30(x70821,x70822,x70823)+P1(f318(f318(f320(x70821),f738(x70823,x70822,x70821)),f318(f163(x70821),x70823)))
% 182.20/182.06 [7083]P30(x70831,x70832,x70833)+P1(f318(f318(f320(x70831),f745(x70833,x70832,x70831)),f318(f163(x70831),x70833)))
% 182.20/182.06 [7084]P30(x70841,x70842,x70843)+P1(f318(f318(f320(x70841),f744(x70842,x70843,x70841)),f318(f163(x70841),x70843)))
% 182.20/182.06 [7087]E(f168(x70871,x70872,x70873),x70873)+P1(f318(f318(f320(x70871),f697(x70873,x70872,x70871)),f318(f163(x70871),x70873)))
% 182.20/182.06 [7163]P1(f318(f151(x71631,x71632),x71633))+P1(f318(f318(f320(x71631),f653(x71633,x71632,x71631)),f318(f163(x71631),x71633)))
% 182.20/182.06 [7172]~P32(x71721,x71723,x71722)+P1(f318(f318(f320(x71721),f736(x71722,x71723,x71721)),f318(f163(x71721),x71722)))
% 182.20/182.06 [7173]~P34(x71731,x71733,x71732)+P1(f318(f318(f320(x71731),f737(x71732,x71733,x71731)),f318(f163(x71731),x71732)))
% 182.20/182.06 [7174]~P34(x71741,x71743,x71742)+P1(f318(f318(f320(x71741),f746(x71742,x71743,x71741)),f318(f163(x71741),x71742)))
% 182.20/182.06 [7175]~P32(x71751,x71753,x71752)+P1(f318(f318(f320(x71751),f775(x71752,x71753,x71751)),f318(f163(x71751),x71752)))
% 182.20/182.06 [7176]~P32(x71761,x71762,x71763)+P1(f318(f318(f320(x71761),f776(x71762,x71763,x71761)),f318(f163(x71761),x71763)))
% 182.20/182.06 [7210]P1(f318(f318(f320(x72101),x72102),f616(x72103,x72102,x72101)))+~P1(f318(f318(f320(x72101),x72102),f31(f905(x72101,a894),x72103)))
% 182.20/182.06 [7211]~P74(x72111)+E(f318(f318(f75(x72111),f318(f318(f6(a898,x72111),x72112),f318(f273(a898),x72113))),f318(x72112,x72113)),f318(f318(f6(a898,x72111),x72112),f318(f273(a898),f318(a103,x72113))))
% 182.20/182.06 [7223]P29(x72231,x72232,x72233)+P1(f318(f318(f320(a898),f837(x72233,x72232,x72231)),f318(f293(a898,x72232),x72233)))
% 182.20/182.06 [7303]~P32(x73032,x73031,x73033)+P1(f318(x73031,f318(f318(f155(x73032),x73033),f733(x73033,x73031,x73032))))
% 182.20/182.06 [7314]~P1(f318(f318(f320(x73141),x73142),f605(x73142,x73143,x73141)))+P1(f318(f318(f320(x73141),x73142),f32(f905(x73141,a894),x73143)))
% 182.20/182.06 [7347]~P74(x73471)+E(f318(f318(f75(x73471),f318(f318(f6(a898,x73471),x73472),f318(f292(a898),x73473))),f318(x73472,f318(a103,x73473))),f318(f318(f6(a898,x73471),x73472),f318(f292(a898),f318(a103,x73473))))
% 182.20/182.06 [7488]P1(f318(f318(f320(f899(x74881)),x74882),f152(x74881,x74883)))+P1(f318(f318(f320(x74881),f638(x74883,x74882,x74881)),f318(f163(x74881),x74882)))
% 182.20/182.06 [7504]~P1(f318(f318(f320(f899(x75041)),x75042),f152(x75041,f307(x75041,x75043))))+P1(f318(f318(f320(f899(x75041)),x75042),f307(f899(x75041),f148(x75041,x75043))))
% 182.20/182.06 [7528]~P1(f318(f318(f320(f899(x75281)),x75282),f307(f899(x75281),f148(x75281,x75283))))+P1(f318(f318(f320(f899(x75281)),x75282),f152(x75281,f307(x75281,x75283))))
% 182.20/182.06 [7560]E(f318(f318(f318(f174(f899(x75601),f899(x75601)),x75602),f158(x75601)),x75603),x75603)+~P1(f318(f318(f226(a898),f318(f180(f899(x75601)),x75603)),f73(a898)))
% 182.20/182.06 [7593]E(f318(f318(f125(x75931),f740(x75932,x75933,x75931)),f318(f318(f142(x75931),x75933),f741(x75932,x75933,x75931))),x75932)+~P1(f318(f318(f320(x75931),x75933),f318(f163(x75931),x75932)))
% 182.20/182.06 [7594]E(f318(f318(f125(x75941),f734(x75942,x75943,x75941)),f318(f318(f142(x75941),x75943),f735(x75942,x75943,x75941))),x75942)+~P1(f318(f318(f320(x75941),x75943),f318(f163(x75941),x75942)))
% 182.20/182.06 [7595]E(f318(f318(f125(x75951),f742(x75952,x75953,x75951)),f318(f318(f142(x75951),x75953),f743(x75952,x75953,x75951))),x75952)+~P1(f318(f318(f320(x75951),x75953),f318(f163(x75951),x75952)))
% 182.20/182.06 [7616]~P24(x76161,x76162,x76163,f233(f905(x76161,a894)))+P24(f899(x76161),f899(x76162),f318(f145(x76161,x76162),x76163),f233(f905(f899(x76161),a894)))
% 182.20/182.06 [7768]E(x77681,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x77682)),x77683)),f318(f247(a898,a898),x77682)))+~P1(f318(f43(x77681,x77683),x77682))
% 182.20/182.06 [7776]P24(x77761,x77762,x77763,f233(f905(x77761,a894)))+~P24(f899(x77761),f899(x77762),f318(f145(x77761,x77762),x77763),f233(f905(f899(x77761),a894)))
% 182.20/182.06 [7821]P1(f318(f318(f320(f905(x78211,a894)),f605(x78212,x78213,x78211)),x78213))+P1(f318(f318(f320(x78211),x78212),f32(f905(x78211,a894),x78213)))
% 182.20/182.06 [7912]P1(f318(f318(f320(f899(x79121)),x79122),f152(x79121,x79123)))+~P1(f318(f318(f320(x79121),f638(x79123,x79122,x79121)),x79123))
% 182.20/182.06 [8013]P30(x80131,x80132,x80133)+~P1(f318(x80132,f318(f318(f155(x80131),x80133),f739(x80133,x80132,x80131))))
% 182.20/182.06 [8038]E(x80381,x80382)+~E(f318(f318(f7(x80383,f905(x80383,a894),a894),f320(x80383)),x80381),f318(f318(f7(x80383,f905(x80383,a894),a894),f320(x80383)),x80382))
% 182.20/182.06 [8046]~P1(f318(f318(f320(f904(x80461,x80461)),x80463),f254(x80461,x80462)))+P1(f318(f318(f320(x80461),f473(x80462,x80463,x80461)),x80462))
% 182.20/182.06 [8048]~P1(f318(f318(f320(x80481),x80483),f31(f905(x80481,a894),x80482)))+P1(f318(f318(f320(f905(x80481,a894)),f616(x80482,x80483,x80481)),x80482))
% 182.20/182.06 [8167]P24(x81671,x81672,f86(x81672,x81671,f233(f905(x81672,a894)),x81673),f233(f905(x81671,a894)))+~E(f318(f301(x81672,x81671,x81673),f233(f905(x81672,a894))),f233(f905(x81671,a894)))
% 182.20/182.06 [8221]~P1(f318(f318(f320(x82211),x82212),f318(f163(x82211),f734(x82213,x82212,x82211))))+~P1(f318(f318(f320(x82211),x82212),f318(f163(x82211),x82213)))
% 182.20/182.06 [8222]~P1(f318(f318(f320(x82221),x82222),f318(f163(x82221),f743(x82223,x82222,x82221))))+~P1(f318(f318(f320(x82221),x82222),f318(f163(x82221),x82223)))
% 182.20/182.06 [8251]P29(f318(f67(a894,a894,a898,a313),x82511),x82512,x82513)+P32(a898,x82511,f130(a898,f318(f293(a898,x82512),x82513)))
% 182.20/182.06 [8413]E(x84131,f104(x84132))+P1(f318(f318(f320(x84132),f318(f242(x84132,f904(a90,a90)),f318(f266(x84132,x84131),x84133))),f318(f163(x84132),x84131)))
% 182.20/182.06 [8512]~P68(x85121)+E(f318(f133(x85121,x85121,f318(f7(x85121,x85121,x85121),f75(x85121)),x85122),f318(f159(x85121),x85123)),f318(f133(x85121,x85121,f75(x85121),x85122),x85123))
% 182.20/182.06 [8704]~P24(x87042,x87041,x87043,f233(f905(x87042,a894)))+E(f318(f301(x87041,x87042,f86(x87042,x87041,f233(f905(x87042,a894)),x87043)),f233(f905(x87041,a894))),f233(f905(x87042,a894)))
% 182.20/182.06 [8774]~P29(f318(f67(a894,a894,a898,a313),x87741),x87742,x87743)+~P32(a898,x87741,f130(a898,f318(f293(a898,x87742),x87743)))
% 182.20/182.06 [9021]~P82(x90211)+E(f318(f163(x90211),f140(x90211,x90211,f5(x90211),x90212,x90213)),f318(f318(f300(x90211),x90212),f318(f163(x90211),x90213)))
% 182.20/182.06 [9032]~E(f318(x90323,f318(f86(x90321,x90322,f233(f905(x90321,a894)),x90323),f791(x90323,x90322,x90321))),f791(x90323,x90322,x90321))+E(f318(f301(x90321,x90322,x90323),f233(f905(x90321,a894))),f233(f905(x90322,a894)))
% 182.20/182.06 [9034]P1(f318(f318(f227(a898),f2(a898)),f565(x90341,x90342,x90343)))+~P1(f318(f318(f320(f904(x90343,x90343)),x90342),f318(f318(f280(x90343,x90343,x90343),x90341),f298(x90343,x90341))))
% 182.20/182.06 [9313]~P56(x93131,x93132)+~P1(f318(f318(f320(f904(x93131,x93131)),f318(f318(f243(x93131,x93131),x93133),x93133)),f318(f318(f280(x93131,x93131,x93131),x93132),f298(x93131,x93132))))
% 182.20/182.06 [9451]~E(f318(f318(f92(f905(f904(x94511,x94511),a894)),f318(f277(x94511,x94511),x94512)),f298(x94511,x94512)),f179(f905(f904(x94511,x94511),a894)))+~P1(f318(f318(f320(f904(x94511,x94511)),f318(f318(f243(x94511,x94511),x94513),x94513)),f318(f318(f280(x94511,x94511,x94511),x94512),f298(x94511,x94512))))
% 182.20/182.06 [9642]~P1(f318(f28(x96421),x96422))+P1(f318(f318(f226(a898),f318(f29(x96421),f318(f318(f23(f905(x96421,a894)),x96422),f318(f318(f300(x96421),x96423),f179(f905(x96421,a894)))))),f318(f29(x96421),x96422)))
% 182.20/182.06 [5126]~E(x51263,f104(x51261))+E(f135(x51261,f318(f318(f142(x51261),x51262),x51263)),x51262)
% 182.20/182.06 [5135]~E(x51353,f104(x51351))+E(f105(x51351,f318(f318(f142(x51351),x51352),x51353)),f104(x51351))
% 182.20/182.06 [5165]E(x51651,f104(x51652))+E(f135(x51652,f318(f318(f142(x51652),x51653),x51651)),f135(x51652,x51651))
% 182.20/182.06 [5167]E(x51671,f104(x51672))+E(f135(x51672,f318(f318(f125(x51672),x51673),x51671)),f135(x51672,x51671))
% 182.20/182.06 [5173]~E(x51733,f104(x51731))+E(f105(x51731,f318(f318(f125(x51731),x51732),x51733)),f105(x51731,x51732))
% 182.20/182.06 [5175]~E(x51753,f104(x51751))+E(f135(x51751,f318(f318(f125(x51751),x51752),x51753)),f135(x51751,x51752))
% 182.20/182.06 [5208]E(x52081,f104(x52082))+E(f318(f132(x52082),f318(f318(f125(x52082),x52081),x52083)),f318(f132(x52082),x52081))
% 182.20/182.06 [5236]~E(x52362,f104(x52361))+E(f318(f132(x52361),f318(f318(f125(x52361),x52362),x52363)),f318(f132(x52361),x52363))
% 182.20/182.06 [5288]~P83(x52881)+E(f318(f318(f92(x52881),x52882),f318(f318(f101(x52881),x52882),x52883)),x52882)
% 182.20/182.06 [5289]~P83(x52891)+E(f318(f318(f101(x52891),x52892),f318(f318(f92(x52891),x52892),x52893)),x52892)
% 182.20/182.06 [5290]~P82(x52901)+E(f318(f318(f224(x52901),x52902),f318(f318(f225(x52901),x52902),x52903)),x52902)
% 182.20/182.06 [5291]~P82(x52911)+E(f318(f318(f225(x52911),x52912),f318(f318(f224(x52911),x52912),x52913)),x52912)
% 182.20/182.06 [5310]~P3(x53101)+E(f40(x53101,f318(f318(f76(x53101),x53102),x53103),x53103),f2(x53101))
% 182.20/182.06 [5311]~P3(x53111)+E(f40(x53111,f318(f318(f76(x53111),x53112),x53113),x53112),f2(x53111))
% 182.20/182.06 [5379]~P67(x53791)+E(f318(f74(x53791),f318(f318(f23(x53791),x53792),x53793)),f318(f318(f23(x53791),x53793),x53792))
% 182.20/182.06 [5442]E(x54421,f104(x54422))+E(f105(x54422,f318(f318(f142(x54422),x54423),x54421)),f318(f318(f142(x54422),x54423),f105(x54422,x54421)))
% 182.20/182.06 [5443]E(x54431,f104(x54432))+E(f105(x54432,f318(f318(f125(x54432),x54433),x54431)),f318(f318(f125(x54432),x54433),f105(x54432,x54431)))
% 182.20/182.06 [5446]~P5(x54461)+E(f32(x54461,f318(f318(f300(x54461),x54462),x54463)),f318(f318(f92(x54461),x54462),f32(x54461,x54463)))
% 182.20/182.06 [5447]~P5(x54471)+E(f31(x54471,f318(f318(f300(x54471),x54472),x54473)),f318(f318(f101(x54471),x54472),f31(x54471,x54473)))
% 182.20/182.06 [5493]~P83(x54931)+E(f318(f318(f92(x54931),x54932),f318(f318(f92(x54931),x54932),x54933)),f318(f318(f92(x54931),x54932),x54933))
% 182.20/182.06 [5495]~P102(x54951)+E(f318(f318(f92(x54951),x54952),f318(f318(f92(x54951),x54952),x54953)),f318(f318(f92(x54951),x54952),x54953))
% 182.20/182.06 [5496]~P83(x54961)+E(f318(f318(f101(x54961),x54962),f318(f318(f101(x54961),x54962),x54963)),f318(f318(f101(x54961),x54962),x54963))
% 182.20/182.06 [5498]~P104(x54981)+E(f318(f318(f101(x54981),x54982),f318(f318(f101(x54981),x54982),x54983)),f318(f318(f101(x54981),x54982),x54983))
% 182.20/182.06 [5499]~P98(x54991)+E(f318(f318(f76(x54991),x54992),f318(f318(f76(x54991),x54992),x54993)),f318(f318(f76(x54991),x54992),x54993))
% 182.20/182.06 [5501]~P82(x55011)+E(f318(f318(f224(x55011),x55012),f318(f318(f224(x55011),x55012),x55013)),f318(f318(f224(x55011),x55012),x55013))
% 182.20/182.06 [5503]~P82(x55031)+E(f318(f318(f225(x55031),x55032),f318(f318(f225(x55031),x55032),x55033)),f318(f318(f225(x55031),x55032),x55033))
% 182.20/182.06 [5510]~P3(x55101)+E(f40(x55101,f318(f318(f75(x55101),x55102),x55103),x55103),f40(x55101,x55102,x55103))
% 182.20/182.06 [5511]~P3(x55111)+E(f40(x55111,f318(f318(f75(x55111),x55112),x55113),x55112),f40(x55111,x55113,x55112))
% 182.20/182.06 [5520]~P128(x55201)+E(f318(f318(f76(x55201),x55202),f318(f74(x55201),x55203)),f318(f74(x55201),f318(f318(f76(x55201),x55202),x55203)))
% 182.20/182.06 [5521]~P60(x55211)+E(f318(f318(f282(x55211),x55212),f318(f74(x55211),x55213)),f318(f74(x55211),f318(f318(f282(x55211),x55212),x55213)))
% 182.20/182.06 [5522]~P79(x55221)+E(f318(f318(f75(x55221),x55222),f318(f156(x55221),x55223)),f318(f156(x55221),f318(f318(f142(x55221),x55222),x55223)))
% 182.20/182.06 [5550]~P128(x55501)+E(f318(f318(f76(x55501),f318(f74(x55501),x55502)),x55503),f318(f318(f76(x55501),x55502),f318(f74(x55501),x55503)))
% 182.20/182.06 [5556]~P8(x55561,x55562,x55563)+E(f31(f905(x55561,a894),f318(f318(f55(x55561),x55562),x55563)),x55562)
% 182.20/182.06 [5622]~P113(x56221)+E(f318(f318(f76(x56221),x56222),f318(f318(f235(x56221),x56222),x56223)),f318(f318(f235(x56221),x56222),f318(a103,x56223)))
% 182.20/182.06 [5623]~P111(x56231)+E(f318(f318(f76(x56231),x56232),f318(f318(f235(x56231),x56232),x56233)),f318(f318(f235(x56231),x56232),f318(a103,x56233)))
% 182.20/182.06 [5633]~P73(x56331)+E(f318(f318(f75(x56331),f318(f74(x56331),x56332)),f318(f318(f75(x56331),x56332),x56333)),x56333)
% 182.20/182.06 [5656]~P144(x56561)+E(f318(f318(f235(x56561),f318(f91(x56561),x56562)),x56563),f318(f91(x56561),f318(f318(f235(a898),x56562),x56563)))
% 182.20/182.06 [5657]~P127(x56571)+E(f318(f318(f235(x56571),f318(f93(x56571),x56572)),x56573),f318(f93(x56571),f318(f318(f235(a1),x56572),x56573)))
% 182.20/182.06 [5663]~P87(x56631)+E(f318(f70(x56631),f318(f318(f23(x56631),x56632),x56633)),f318(f70(x56631),f318(f318(f23(x56631),x56633),x56632)))
% 182.20/182.06 [5665]~P110(x56651)+E(f318(f318(f76(x56651),f77(x56651,x56652)),f77(x56651,x56653)),f77(x56651,f318(f318(f76(x56651),x56652),x56653)))
% 182.20/182.06 [5669]E(x56691,f104(x56692))+E(f318(f318(f125(x56692),f318(f162(x56692),x56691)),x56693),f318(f162(x56692),f318(f318(f125(x56692),x56691),x56693)))
% 182.20/182.06 [5675]~E(x56752,f318(a103,f318(f318(f75(a898),x56751),x56753)))+P1(f318(f318(f227(a898),x56751),x56752))
% 182.20/182.06 [5676]~P110(x56761)+E(f318(f318(f235(x56761),f318(f70(x56761),x56762)),x56763),f318(f70(x56761),f318(f318(f235(x56761),x56762),x56763)))
% 182.20/182.06 [5677]~P128(x56771)+E(f318(f318(f76(x56771),f318(f74(x56771),x56772)),x56773),f318(f74(x56771),f318(f318(f76(x56771),x56772),x56773)))
% 182.20/182.06 [5678]~P121(x56781)+E(f318(f318(f282(x56781),f318(f74(x56781),x56782)),x56783),f318(f74(x56781),f318(f318(f282(x56781),x56782),x56783)))
% 182.20/182.06 [5776]E(f869(x57761,x57762,x57763),f883(x57761,x57762,x57763))+E(f318(f318(f92(f905(x57763,a894)),x57762),x57761),f179(f905(x57763,a894)))
% 182.20/182.06 [5791]~P74(x57912)+E(f318(f318(f6(x57911,x57912),f318(f16(x57912,x57911),f2(x57912))),x57913),f2(x57912))
% 182.20/182.06 [5792]~P75(x57922)+E(f318(f318(f9(x57921,x57922),f318(f16(x57922,x57921),f73(x57922))),x57923),f73(x57922))
% 182.20/182.06 [5794]~P144(x57941)+E(f318(f318(f75(x57941),f318(f91(x57941),x57942)),f318(f91(x57941),x57943)),f318(f91(x57941),f318(f318(f75(a898),x57942),x57943)))
% 182.20/182.06 [5795]~P144(x57951)+E(f318(f318(f76(x57951),f318(f91(x57951),x57952)),f318(f91(x57951),x57953)),f318(f91(x57951),f318(f318(f76(a898),x57952),x57953)))
% 182.20/182.06 [5796]~P127(x57961)+E(f318(f318(f23(x57961),f318(f93(x57961),x57962)),f318(f93(x57961),x57963)),f318(f93(x57961),f318(f318(f23(a1),x57962),x57963)))
% 182.20/182.06 [5797]~P127(x57971)+E(f318(f318(f75(x57971),f318(f93(x57971),x57972)),f318(f93(x57971),x57973)),f318(f93(x57971),f318(f318(f75(a1),x57972),x57973)))
% 182.20/182.06 [5798]~P127(x57981)+E(f318(f318(f76(x57981),f318(f93(x57981),x57982)),f318(f93(x57981),x57983)),f318(f93(x57981),f318(f318(f76(a1),x57982),x57983)))
% 182.20/182.06 [5799]~P95(x57991)+E(f318(f318(f23(x57991),f318(f94(x57991),x57992)),f318(f94(x57991),x57993)),f318(f94(x57991),f318(f318(f23(a1),x57992),x57993)))
% 182.20/182.06 [5802]~P95(x58021)+E(f318(f318(f75(x58021),f318(f94(x58021),x58022)),f318(f94(x58021),x58023)),f318(f94(x58021),f318(f318(f75(a1),x58022),x58023)))
% 182.20/182.06 [5803]~P95(x58031)+E(f318(f318(f76(x58031),f318(f94(x58031),x58032)),f318(f94(x58031),x58033)),f318(f94(x58031),f318(f318(f76(a1),x58032),x58033)))
% 182.20/182.06 [5851]~E(x58513,x58512)+P1(f318(f318(f226(f905(x58511,a894)),x58512),x58513))
% 182.20/182.07 [5857]~E(x58572,x58573)+P1(f318(f318(f226(f905(x58571,a894)),x58572),x58573))
% 182.20/182.07 [5862]~P110(x58621)+E(f318(f318(f76(x58621),f318(f70(x58621),x58622)),f318(f70(x58621),x58623)),f318(f70(x58621),f318(f318(f76(x58621),x58622),x58623)))
% 182.20/182.07 [5863]~P62(x58631)+E(f318(f318(f282(x58631),f318(f70(x58631),x58632)),f318(f70(x58631),x58633)),f318(f70(x58631),f318(f318(f282(x58631),x58632),x58633)))
% 182.20/182.07 [5864]~P97(x58641)+E(f318(f318(f101(x58641),f318(f74(x58641),x58642)),f318(f74(x58641),x58643)),f318(f74(x58641),f318(f318(f92(x58641),x58642),x58643)))
% 182.20/182.07 [5865]~P73(x58651)+E(f318(f318(f75(x58651),f318(f74(x58651),x58652)),f318(f74(x58651),x58653)),f318(f74(x58651),f318(f318(f75(x58651),x58653),x58652)))
% 182.20/182.07 [5866]~P67(x58661)+E(f318(f318(f75(x58661),f318(f74(x58661),x58662)),f318(f74(x58661),x58663)),f318(f74(x58661),f318(f318(f75(x58661),x58662),x58663)))
% 182.20/182.07 [5867]~P97(x58671)+E(f318(f318(f92(x58671),f318(f74(x58671),x58672)),f318(f74(x58671),x58673)),f318(f74(x58671),f318(f318(f101(x58671),x58672),x58673)))
% 182.20/182.07 [5868]~P76(x58681)+E(f318(f318(f225(x58681),f318(f74(x58681),x58682)),f318(f74(x58681),x58683)),f318(f74(x58681),f318(f318(f224(x58681),x58682),x58683)))
% 182.20/182.07 [5869]~P76(x58691)+E(f318(f318(f224(x58691),f318(f74(x58691),x58692)),f318(f74(x58691),x58693)),f318(f74(x58691),f318(f318(f225(x58691),x58692),x58693)))
% 182.20/182.07 [5870]~P79(x58701)+E(f318(f318(f75(x58701),f318(f156(x58701),x58702)),f318(f156(x58701),x58703)),f318(f156(x58701),f318(f318(f125(x58701),x58702),x58703)))
% 182.20/182.07 [5871]E(x58711,f179(f905(x58712,a894)))+~E(f318(f318(f101(f905(x58712,a894)),x58713),x58711),f179(f905(x58712,a894)))
% 182.20/182.07 [5872]E(x58721,f179(f905(x58722,a894)))+~E(f318(f318(f101(f905(x58722,a894)),x58721),x58723),f179(f905(x58722,a894)))
% 182.20/182.07 [5873]~P147(x58731,x58733,x58732)+P1(f318(x58731,f318(f318(f30(a1),x58732),x58733)))
% 182.20/182.07 [5938]~P1(f318(f28(x59381),x59383))+P1(f318(f28(x59381),f318(f318(f300(x59381),x59382),x59383)))
% 182.20/182.07 [5939]~P1(f318(f128(x59391),x59393))+P1(f318(f128(x59391),f318(f318(f166(x59391),x59392),x59393)))
% 182.20/182.07 [5940]~P1(f318(f128(x59401),x59403))+P1(f318(f128(x59401),f318(f318(f129(x59401),x59402),x59403)))
% 182.20/182.07 [5972]~P83(x59721)+P1(f318(f318(f226(x59721),x59722),f318(f318(f101(x59721),x59723),x59722)))
% 182.20/182.07 [5973]~P104(x59731)+P1(f318(f318(f226(x59731),x59732),f318(f318(f101(x59731),x59733),x59732)))
% 182.20/182.07 [5974]~P83(x59741)+P1(f318(f318(f226(x59741),x59742),f318(f318(f101(x59741),x59742),x59743)))
% 182.20/182.07 [5975]~P104(x59751)+P1(f318(f318(f226(x59751),x59752),f318(f318(f101(x59751),x59752),x59753)))
% 182.20/182.07 [5976]~P82(x59761)+P1(f318(f318(f226(x59761),x59762),f318(f318(f225(x59761),x59763),x59762)))
% 182.20/182.07 [5977]~P82(x59771)+P1(f318(f318(f226(x59771),x59772),f318(f318(f225(x59771),x59772),x59773)))
% 182.20/182.07 [5978]~P111(x59781)+P1(f318(f318(f278(x59781),x59782),f318(f318(f76(x59781),x59783),x59782)))
% 182.20/182.07 [5979]~P111(x59791)+P1(f318(f318(f278(x59791),x59792),f318(f318(f76(x59791),x59792),x59793)))
% 182.20/182.07 [5993]~E(x59931,f2(a898))+E(f318(f318(f30(a898),f318(f318(f76(a898),x59931),x59932)),f318(f318(f76(a898),x59931),x59933)),f2(a898))
% 182.20/182.07 [6075]~P95(x60751)+E(f318(f318(f23(x60751),f318(f94(x60751),x60752)),f318(f94(x60751),x60753)),f318(f94(x60751),f318(f318(f75(a1),x60752),f318(f74(a1),x60753))))
% 182.20/182.07 [6135]E(x61351,f2(a898))+E(f318(f318(f30(a898),f318(f318(f76(a898),x61351),x61352)),f318(f318(f76(a898),x61351),x61353)),f318(f318(f30(a898),x61352),x61353))
% 182.20/182.07 [6165]E(f143(x61651,f318(f318(f142(x61651),x61652),x61653)),f318(f318(f142(x61651),x61652),f143(x61651,x61653)))+P1(f318(f318(f320(x61651),x61652),f318(f163(x61651),x61653)))
% 182.20/182.07 [6201]P147(x62011,x62012,x62013)+~P1(f318(x62011,f318(f318(f30(a1),x62013),x62012)))
% 182.20/182.07 [6277]E(x62771,f104(x62772))+E(f318(f318(f142(x62772),f318(f132(x62772),x62771)),f318(f318(f166(x62772),x62773),f318(f162(x62772),x62771))),f318(f318(f166(x62772),f318(a103,x62773)),x62771))
% 182.20/182.07 [6285]E(f318(f318(f23(f905(x62851,a894)),x62852),x62853),x62852)+~E(f318(f318(f92(f905(x62851,a894)),x62852),x62853),f179(f905(x62851,a894)))
% 182.20/182.07 [6299]E(f143(x62991,f318(f318(f142(x62991),x62992),x62993)),f143(x62991,x62993))+~P1(f318(f318(f320(x62991),x62992),f318(f163(x62991),x62993)))
% 182.20/182.07 [6330]~P1(f318(f318(f226(a898),x63301),x63303))+P1(f318(f318(f226(a898),x63301),f318(f318(f75(a898),x63302),x63303)))
% 182.20/182.07 [6332]~P1(f318(f318(f226(a898),x63321),x63322))+P1(f318(f318(f226(a898),x63321),f318(f318(f75(a898),x63322),x63323)))
% 182.20/182.07 [6334]~P1(f318(f318(f227(a898),x63341),x63343))+P1(f318(f318(f227(a898),x63341),f318(f318(f75(a898),x63342),x63343)))
% 182.20/182.07 [6336]~P1(f318(f318(f227(a898),x63361),x63362))+P1(f318(f318(f227(a898),x63361),f318(f318(f75(a898),x63362),x63363)))
% 182.20/182.07 [6376]P1(f318(f28(x63761),x63762))+~P1(f318(f28(x63761),f318(f318(f300(x63761),x63763),x63762)))
% 182.20/182.07 [6377]P1(f318(f128(x63771),x63772))+~P1(f318(f128(x63771),f318(f318(f142(x63771),x63773),x63772)))
% 182.20/182.07 [6378]P1(f318(f128(x63781),x63782))+~P1(f318(f128(x63781),f318(f318(f125(x63781),x63783),x63782)))
% 182.20/182.07 [6379]P1(f318(f128(x63791),x63792))+~P1(f318(f128(x63791),f318(f318(f125(x63791),x63792),x63793)))
% 182.20/182.07 [6433]~P111(x64331)+E(f318(f318(f75(x64331),x64332),f318(f318(f76(x64331),x64333),x64332)),f318(f318(f76(x64331),f318(f318(f75(x64331),x64333),f73(x64331))),x64332))
% 182.20/182.07 [6480]~E(x64801,x64802)+~P1(f318(f318(f227(f905(x64803,a894)),x64801),x64802))
% 182.20/182.07 [6526]P1(f318(f318(f320(x65261),x65262),x65263))+P1(f318(f318(f320(x65261),x65262),f318(f74(f905(x65261,a894)),x65263)))
% 182.20/182.07 [6532]E(f135(x65321,f318(f318(f129(x65321),x65322),x65323)),f135(x65321,x65323))+~P1(f318(f318(f227(a898),x65322),f318(f180(f899(x65321)),x65323)))
% 182.20/182.07 [6533]E(f318(f318(f166(x65331),x65332),f105(x65331,x65333)),f318(f318(f166(x65331),x65332),x65333))+~P1(f318(f318(f227(a898),x65332),f318(f180(f899(x65331)),x65333)))
% 182.20/182.07 [6593]E(f318(f318(f318(f174(f899(x65931),f899(x65931)),x65932),f158(x65931)),x65933),x65933)+~E(f40(a898,x65932,f318(f180(f899(x65931)),x65933)),f2(a898))
% 182.20/182.07 [6600]~P8(x66001,x66003,x66002)+E(f318(f318(f280(x66001,x66001,x66001),f318(f277(x66001,x66001),x66002)),x66002),x66002)
% 182.20/182.07 [6643]~E(f318(f318(f101(f905(x66431,a894)),x66432),x66433),x66433)+P1(f318(f318(f226(f905(x66431,a894)),x66432),x66433))
% 182.20/182.07 [6648]~P53(x66481,x66481,x66483)+P53(x66481,x66481,f318(f318(f174(f904(x66481,x66481),a894),x66482),x66483))
% 182.20/182.07 [6651]~P1(f318(f318(f320(x66511),x66513),f318(f163(x66511),x66512)))+P1(f318(f318(f227(a898),f2(a898)),f318(f180(f899(x66511)),x66512)))
% 182.20/182.07 [6679]~P87(x66791)+E(f318(f70(x66791),f318(f318(f75(x66791),f318(f70(x66791),x66792)),f318(f70(x66791),x66793))),f318(f318(f75(x66791),f318(f70(x66791),x66792)),f318(f70(x66791),x66793)))
% 182.20/182.07 [6690]E(f318(f318(f30(a898),f318(f318(f76(a898),x66901),x66902)),f318(f318(f76(a898),x66901),x66903)),f318(f318(f30(a898),x66902),x66903))+~P1(f318(f318(f227(a898),f2(a898)),x66901))
% 182.20/182.07 [6833]~P1(f318(f28(x68331),x68333))+E(f318(f318(f58(x68331,f905(x68331,a894),f300(x68331)),x68332),x68333),f318(f318(f101(f905(x68331,a894)),x68333),x68332))
% 182.20/182.07 [6892]E(f318(f318(f92(f905(x68921,a894)),x68922),x68923),x68923)+~P1(f318(f318(f226(f905(x68921,a894)),x68923),x68922))
% 182.20/182.07 [6893]E(f318(f318(f92(f905(x68931,a894)),x68932),x68933),x68932)+~P1(f318(f318(f226(f905(x68931,a894)),x68932),x68933))
% 182.20/182.07 [6894]E(f318(f318(f101(f905(x68941,a894)),x68942),x68943),x68942)+~P1(f318(f318(f226(f905(x68941,a894)),x68943),x68942))
% 182.20/182.07 [6896]E(f318(f318(f101(f905(x68961,a894)),x68962),x68963),x68963)+~P1(f318(f318(f226(f905(x68961,a894)),x68962),x68963))
% 182.20/182.07 [6945]~P1(f318(f128(x69451),x69452))+E(f318(f318(f23(f905(x69451,a894)),f318(f163(x69451),x69452)),f318(f318(f300(x69451),x69453),f179(f905(x69451,a894)))),f318(f163(x69451),f161(x69451,x69453,x69452)))
% 182.20/182.07 [7001]P36(x70011,x70012)+~P36(x70011,f318(f318(f174(f904(x70011,x70011),a894),x70013),x70012))
% 182.20/182.07 [7018]~E(x70181,f2(a898))+P1(f318(f318(f278(a898),f318(f318(f76(a898),x70181),x70182)),f318(f318(f76(a898),x70181),x70183)))
% 182.20/182.07 [7069]P1(f318(f44(x70691,x70692),f318(a46,x70693)))+~P1(f318(f44(f318(f74(a1),x70691),f318(f74(a1),x70692)),x70693))
% 182.20/182.07 [7074]E(f318(f318(f23(f905(x70741,a894)),f318(f318(f300(x70741),x70742),x70743)),f318(f318(f300(x70741),x70742),f179(f905(x70741,a894)))),x70743)+P1(f318(f318(f320(x70741),x70742),x70743))
% 182.20/182.07 [7096]E(f318(f318(f92(f905(x70961,a894)),f318(f163(x70961),x70962)),f318(f163(x70961),x70963)),f179(f905(x70961,a894)))+~P1(f318(f128(x70961),f318(f318(f125(x70961),x70962),x70963)))
% 182.20/182.07 [7111]~P1(f318(f318(f320(x71111),x71112),f318(f163(x71111),x71113)))+~P1(f318(f128(x71111),f318(f318(f142(x71111),x71112),x71113)))
% 182.20/182.07 [7182]P30(x71821,x71822,x71823)+P1(f318(f318(f227(a898),f739(x71823,x71822,x71821)),f318(f180(f899(x71821)),x71823)))
% 182.20/182.07 [7192]E(f318(f318(f92(f905(x71921,a894)),x71922),x71923),f179(f905(x71921,a894)))+P1(f318(f318(f320(x71921),f869(x71923,x71922,x71921)),x71922))
% 182.20/182.07 [7193]E(f318(f318(f92(f905(x71931,a894)),x71932),x71933),f179(f905(x71931,a894)))+P1(f318(f318(f320(x71931),f883(x71933,x71932,x71931)),x71933))
% 182.20/182.07 [7196]E(f105(x71961,f318(f318(f166(x71961),x71962),x71963)),f318(f318(f166(x71961),f318(f318(f23(a898),x71962),f73(a898))),x71963))+~P1(f318(f318(f226(a898),x71962),f318(f180(f899(x71961)),x71963)))
% 182.20/182.07 [7256]~P32(x72563,x72562,x72561)+P1(f318(f318(f227(a898),f733(x72561,x72562,x72563)),f318(f180(f899(x72563)),x72561)))
% 182.20/182.07 [7276]P1(f318(f318(f227(a898),f2(a898)),x72761))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x72762),x72761)),f318(f318(f76(a898),x72763),x72761)))
% 182.20/182.07 [7277]P1(f318(f318(f227(a898),f2(a898)),x72771))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x72771),x72772)),f318(f318(f76(a898),x72771),x72773)))
% 182.20/182.07 [7280]~P1(f318(f318(f320(x72801),x72802),x72803))+~P1(f318(f318(f320(x72801),x72802),f318(f74(f905(x72801,a894)),x72803)))
% 182.20/182.07 [7286]~P1(f318(f318(f227(f905(x72861,a894)),x72862),x72863))+P1(f318(f318(f226(f905(x72861,a894)),x72862),x72863))
% 182.20/182.07 [7392]~P1(f318(f318(f226(a898),x73923),x73922))+P1(f318(f318(f226(a898),f318(f318(f23(a898),x73921),x73922)),f318(f318(f23(a898),x73921),x73923)))
% 182.20/182.07 [7393]~P1(f318(f318(f226(a898),x73931),x73933))+P1(f318(f318(f226(a898),f318(f318(f23(a898),x73931),x73932)),f318(f318(f23(a898),x73933),x73932)))
% 182.20/182.07 [7394]~P1(f318(f318(f226(a898),x73942),x73943))+P1(f318(f318(f226(a898),f318(f318(f75(a898),x73941),x73942)),f318(f318(f75(a898),x73941),x73943)))
% 182.20/182.07 [7395]~P1(f318(f318(f226(a898),x73951),x73953))+P1(f318(f318(f226(a898),f318(f318(f75(a898),x73951),x73952)),f318(f318(f75(a898),x73953),x73952)))
% 182.20/182.07 [7397]~P1(f318(f318(f226(a898),x73972),x73973))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x73971),x73972)),f318(f318(f76(a898),x73971),x73973)))
% 182.20/182.07 [7399]~P1(f318(f318(f226(a898),x73991),x73993))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x73991),x73992)),f318(f318(f76(a898),x73993),x73992)))
% 182.20/182.07 [7400]~P1(f318(f318(f226(a898),x74001),x74003))+P1(f318(f318(f226(a898),f318(f318(f30(a898),x74001),x74002)),f318(f318(f30(a898),x74003),x74002)))
% 182.20/182.07 [7401]~P1(f318(f318(f226(a1),x74012),x74013))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x74011),x74012)),f318(f318(f75(a1),x74011),x74013)))
% 182.20/182.07 [7404]~P1(f318(f318(f227(a898),x74042),x74043))+P1(f318(f318(f227(a898),f318(f318(f75(a898),x74041),x74042)),f318(f318(f75(a898),x74041),x74043)))
% 182.20/182.07 [7405]~P1(f318(f318(f227(a898),x74051),x74053))+P1(f318(f318(f227(a898),f318(f318(f75(a898),x74051),x74052)),f318(f318(f75(a898),x74053),x74052)))
% 182.20/182.07 [7406]~P1(f318(f318(f227(a1),x74061),x74063))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x74061),x74062)),f318(f318(f75(a1),x74063),x74062)))
% 182.20/182.07 [7409]~P1(f318(f318(f278(a898),x74092),x74093))+P1(f318(f318(f278(a898),f318(f318(f76(a898),x74091),x74092)),f318(f318(f76(a898),x74091),x74093)))
% 182.20/182.07 [7487]E(x74871,x74872)+~P1(f318(f318(f320(x74873),x74871),f318(f318(f300(x74873),x74872),f179(f905(x74873,a894)))))
% 182.20/182.07 [7489]~E(f318(f318(f92(f905(x74891,a894)),x74892),x74893),f179(f905(x74891,a894)))+P1(f318(f318(f226(f905(x74891,a894)),x74892),f318(f74(f905(x74891,a894)),x74893)))
% 182.20/182.07 [7494]P1(f318(f318(f320(f905(x74941,a894)),x74942),f318(f299(x74941),x74943)))+~P1(f318(f318(f226(f905(x74941,a894)),x74942),x74943))
% 182.20/182.07 [7545]E(f318(f318(f142(x75451),f318(f318(f155(x75451),x75452),x75453)),f318(f318(f129(x75451),f318(a103,x75453)),x75452)),f318(f318(f129(x75451),x75453),x75452))+~P1(f318(f318(f227(a898),x75453),f318(f180(f899(x75451)),x75452)))
% 182.20/182.07 [7570]P1(f318(f318(f320(f904(x75701,x75701)),x75702),f298(x75701,x75703)))+~P1(f318(f318(f320(f904(x75701,x75701)),x75702),x75703))
% 182.20/182.07 [7579]~P1(f318(f318(f320(f905(x75791,a894)),x75792),f318(f299(x75791),x75793)))+P1(f318(f318(f226(f905(x75791,a894)),x75792),x75793))
% 182.20/182.07 [7623]P1(f318(f318(f226(f905(x76231,a894)),x76232),f31(f905(x76231,a894),x76233)))+~P1(f318(f318(f320(f905(x76231,a894)),x76232),x76233))
% 182.20/182.07 [7648]~P127(x76481)+E(f318(f318(f76(x76481),f318(f318(f235(x76481),f318(f74(x76481),f73(x76481))),x76482)),f318(f318(f235(x76481),x76483),x76482)),f318(f318(f235(x76481),f318(f74(x76481),x76483)),x76482))
% 182.20/182.07 [7670]E(f318(f318(f155(x76701),x76702),f318(f318(f23(a898),f318(f180(f899(x76701)),x76702)),f318(a103,x76703))),f318(f318(f155(x76701),f318(f159(x76701),x76702)),x76703))+~P1(f318(f318(f227(a898),x76703),f318(f180(f899(x76701)),x76702)))
% 182.20/182.07 [7687]~E(f318(f318(f92(f905(x76871,a894)),f584(x76873,x76872,x76871)),x76873),f179(f905(x76871,a894)))+E(f318(f318(f92(f905(x76871,a894)),f31(f905(x76871,a894),x76872)),x76873),f179(f905(x76871,a894)))
% 182.20/182.07 [7751]~P1(f318(f318(f320(x77513),x77512),f318(f163(x77513),x77511)))+P1(f318(f318(f227(a898),f633(x77511,x77512,x77513)),f318(f180(f899(x77513)),x77511)))
% 182.20/182.07 [7759]P1(f318(f318(f320(x77591),f318(f318(f155(x77591),x77592),x77593)),f318(f163(x77591),x77592)))+~P1(f318(f318(f227(a898),x77593),f318(f180(f899(x77591)),x77592)))
% 182.20/182.07 [7857]~P1(f318(x78572,f698(x78573,x78572,x78571)))+E(f318(f318(f129(x78571),f318(f180(f899(x78571)),f168(x78571,x78572,x78573))),x78573),f104(x78571))
% 182.20/182.07 [7870]P1(f318(f318(f226(f905(f899(x78701),a894)),f152(x78701,x78702)),f152(x78701,x78703)))+~P1(f318(f318(f226(f905(x78701,a894)),x78702),x78703))
% 182.20/182.07 [7871]P1(f318(f318(f226(f905(f899(x78711),a894)),f151(x78711,x78712)),f151(x78711,x78713)))+~P1(f318(f318(f226(f905(x78711,a894)),x78712),x78713))
% 182.20/182.07 [7898]E(f318(f318(f92(f905(x78981,a894)),f31(f905(x78981,a894),x78982)),x78983),f179(f905(x78981,a894)))+P1(f318(f318(f320(f905(x78981,a894)),f584(x78983,x78982,x78981)),x78982))
% 182.20/182.07 [7900]~P1(f318(f318(f320(f905(x79001,a894)),x79003),x79002))+P1(f318(f318(f226(f905(x79001,a894)),f32(f905(x79001,a894),x79002)),x79003))
% 182.20/182.07 [7902]E(f318(f318(f92(f905(x79021,a894)),x79022),x79023),f179(f905(x79021,a894)))+~P1(f318(f318(f226(f905(x79021,a894)),x79022),f318(f74(f905(x79021,a894)),x79023)))
% 182.20/182.07 [7951]E(f318(f318(f23(a898),f318(f318(f75(a898),f318(f156(a898),x79511)),x79512)),f318(f318(f155(a898),x79511),x79513)),f318(f156(a898),f318(f318(f150(a898,x79511),x79513),x79512)))+~P1(f318(f318(f227(a898),x79513),f318(f180(f899(a898)),x79511)))
% 182.20/182.07 [8002]P1(f318(f318(f226(a898),x80021),x80022))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x80023),x80021)),f318(f318(f75(a898),x80023),x80022)))
% 182.20/182.07 [8005]P1(f318(f318(f227(a898),x80051),x80052))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),x80053),x80051)),f318(f318(f75(a898),x80053),x80052)))
% 182.20/182.07 [8006]P1(f318(f318(f227(a898),x80061),x80062))+~P1(f318(f318(f227(a898),f318(f318(f76(a898),x80063),x80061)),f318(f318(f76(a898),x80063),x80062)))
% 182.20/182.07 [8007]P1(f318(f318(f227(a898),x80071),x80072))+~P1(f318(f318(f227(a898),f318(f318(f76(a898),x80071),x80073)),f318(f318(f76(a898),x80072),x80073)))
% 182.20/182.07 [8036]P1(f318(f318(f227(a898),f2(a898)),x80361))+~P1(f318(f318(f227(a898),f318(f318(f76(a898),x80362),x80361)),f318(f318(f76(a898),x80363),x80361)))
% 182.20/182.07 [8037]P1(f318(f318(f227(a898),f2(a898)),x80371))+~P1(f318(f318(f227(a898),f318(f318(f76(a898),x80371),x80372)),f318(f318(f76(a898),x80371),x80373)))
% 182.20/182.07 [8110]E(f238(x81101,x81102,x81103),x81102)+~P1(f318(f318(f226(f905(x81101,a894)),x81103),f318(f318(f300(x81101),x81102),f179(f905(x81101,a894)))))
% 182.20/182.07 [8160]~P1(f318(f128(x81601),x81603))+E(f318(f127(x81601,f318(f318(f8(a894,a894,x81601),a313),f318(a315,x81602))),x81603),f161(x81601,x81602,x81603))
% 182.20/182.07 [8185]E(f318(f318(f129(x81851),f318(f180(f899(x81851)),f168(x81851,x81852,x81853))),x81853),f104(x81851))+P1(f318(f318(f320(x81851),f698(x81853,x81852,x81851)),f318(f163(x81851),x81853)))
% 182.20/182.07 [8189]E(f318(f318(f125(x81891),f318(f318(f166(x81891),x81892),x81893)),f318(f318(f142(x81891),f318(f318(f155(x81891),x81893),x81892)),f104(x81891))),f318(f318(f166(x81891),f318(a103,x81892)),x81893))+~P1(f318(f318(f227(a898),x81892),f318(f180(f899(x81891)),x81893)))
% 182.20/182.07 [8256]E(f318(f127(x82561,f318(f318(f8(a894,a894,x82561),a313),f318(a315,x82562))),x82563),x82563)+P1(f318(f318(f320(x82561),x82562),f318(f163(x82561),x82563)))
% 182.20/182.07 [8262]P1(f318(f318(f226(f905(f905(x82621,a894),a894)),f239(x82621,x82622)),f239(x82621,x82623)))+~P1(f318(f318(f226(f905(x82621,a894)),x82622),x82623))
% 182.20/182.07 [8301]~P1(f318(f128(x83011),x83013))+P1(f318(f128(x83011),f318(f318(f318(f174(f899(x83011),f899(x83011)),x83012),f158(x83011)),x83013)))
% 182.20/182.07 [8307]~P1(f318(f318(f227(a898),x83072),x83073))+P1(f318(f318(f227(a898),f318(f318(f76(a898),f318(a103,x83071)),x83072)),f318(f318(f76(a898),f318(a103,x83071)),x83073)))
% 182.20/182.07 [8327]P1(f318(f318(f226(f905(f905(x83271,a894),a894)),f318(f299(x83271),x83272)),f318(f299(x83271),x83273)))+~P1(f318(f318(f226(f905(x83271,a894)),x83272),x83273))
% 182.20/182.07 [8397]~E(f318(f301(x83971,x83972,x83973),f233(f905(x83971,a894))),f233(f905(x83972,a894)))+E(f318(f67(x83971,x83972,x83972,x83973),f86(x83971,x83972,f233(f905(x83971,a894)),x83973)),f25(x83972))
% 182.20/182.07 [8492]~P1(f318(f318(f226(f905(x84921,a894)),x84923),x84922))+P1(f318(f318(f226(f905(x84921,a894)),f318(f74(f905(x84921,a894)),x84922)),f318(f74(f905(x84921,a894)),x84923)))
% 182.20/182.07 [8526]E(f318(f301(a898,a898,f318(f318(f7(a898,a898,a898),f23(a898)),x85261)),f318(f293(a898,x85262),x85263)),f318(f293(a898,f318(f318(f23(a898),x85262),x85261)),f318(f318(f23(a898),x85263),x85261)))+~P1(f318(f318(f227(a898),x85261),x85263))
% 182.20/182.07 [8552]~P79(x85521)+E(f318(f318(f75(x85521),x85522),f318(f133(x85521,x85521,f75(x85521),f2(x85521)),x85523)),f318(f133(x85521,x85521,f75(x85521),x85522),x85523))
% 182.20/182.07 [8628]~P87(x86281)+P1(f318(f318(f226(x86281),f318(f70(x86281),f318(f318(f23(x86281),x86282),x86283))),f318(f318(f75(x86281),f318(f70(x86281),x86282)),f318(f70(x86281),x86283))))
% 182.20/182.07 [8629]~P87(x86291)+P1(f318(f318(f226(x86291),f318(f70(x86291),f318(f318(f75(x86291),x86292),x86293))),f318(f318(f75(x86291),f318(f70(x86291),x86292)),f318(f70(x86291),x86293))))
% 182.20/182.07 [8640]E(f318(f318(f75(a1),f318(f318(f76(a1),x86401),f40(a1,f318(f318(f30(a1),x86402),x86401),x86403))),f40(a1,x86402,x86401)),f40(a1,x86402,f318(f318(f76(a1),x86401),x86403)))+~P1(f318(f318(f227(a1),f2(a1)),x86403))
% 182.20/182.07 [8646]E(f318(f318(f125(x86461),f318(f318(f166(x86461),x86462),x86463)),f318(f318(f142(x86461),f318(f132(x86461),f318(f318(f129(x86461),x86462),x86463))),f104(x86461))),f318(f318(f166(x86461),f318(a103,x86462)),x86463))+~P1(f318(f318(f227(a898),x86462),f318(f180(f899(x86461)),x86463)))
% 182.20/182.07 [8666]E(f318(f259(x86661,f318(f318(f145(x86661,f904(a90,x86661)),f318(f243(a90,x86661),f73(a90))),x86662)),f318(a3,x86663)),f318(f318(f155(x86661),x86662),x86663))+~P1(f318(f318(f227(a898),x86663),f318(f180(f899(x86661)),x86662)))
% 182.20/182.07 [8734]P1(f318(f318(f320(f904(x87341,x87341)),x87342),f318(f318(f280(x87341,x87341,x87341),x87343),f298(x87341,x87343))))+~P1(f318(f318(f320(f904(x87341,x87341)),x87342),x87343))
% 182.20/182.07 [8745]E(f318(f301(x87451,x87452,x87453),f233(f905(x87451,a894))),f233(f905(x87452,a894)))+~E(f318(f67(x87451,x87452,x87452,x87453),f86(x87451,x87452,f233(f905(x87451,a894)),x87453)),f25(x87452))
% 182.20/182.07 [8754]P1(f318(f318(f226(a898),x87541),x87542))+~P1(f318(f318(f226(a898),f318(f318(f76(a898),f318(a103,x87543)),x87541)),f318(f318(f76(a898),f318(a103,x87543)),x87542)))
% 182.20/182.07 [8770]P1(f318(f318(f226(f905(x87701,a894)),x87702),x87703))+~P1(f318(f318(f226(f905(x87701,a894)),f318(f74(f905(x87701,a894)),x87703)),f318(f74(f905(x87701,a894)),x87702)))
% 182.20/182.07 [8793]P1(f318(f128(x87931),x87932))+~P1(f318(f128(x87931),f318(f318(f318(f174(f899(x87931),f899(x87931)),x87933),f158(x87931)),x87932)))
% 182.20/182.07 [8866]E(f318(f276(x88661,x88661,f298(x88661,x88662)),x88663),x88663)+~P1(f318(f318(f226(f905(x88661,a894)),f318(f276(x88661,x88661,x88662),x88663)),x88663))
% 182.20/182.07 [8914]~P82(x89141)+P13(x89141,f318(f127(x89141,f318(f318(f7(x89141,x89141,a894),a315),f318(x89142,x89143))),x89143))
% 182.20/182.07 [8921]~P1(f318(f318(f226(a898),x89211),x89212))+P1(f318(f318(f226(a898),x89211),f318(f133(a898,a898,f75(a898),x89212),x89213)))
% 182.20/182.07 [9007]~P1(f318(f318(f320(f904(x90071,x90071)),x90072),f298(x90071,x90073)))+P1(f318(f318(f320(f904(x90071,x90071)),x90072),f318(f318(f174(f904(x90071,x90071),a894),f559(x90073,x90072,x90071)),x90073)))
% 182.20/182.07 [9092]~P79(x90921)+E(f318(f318(f75(x90921),x90922),f318(f133(x90921,x90921,f318(f7(x90921,x90921,x90921),f75(x90921)),f2(x90921)),f318(f159(x90921),x90923))),f318(f133(x90921,x90921,f75(x90921),x90922),x90923))
% 182.20/182.07 [9209]~P25(x92092,x92091,x92093,f233(f905(x92092,a894)),f233(f905(x92091,a894)))+E(f86(x92091,x92092,f233(f905(x92091,a894)),f86(x92092,x92091,f233(f905(x92092,a894)),x92093)),x92093)
% 182.20/182.07 [9365]P53(x93651,x93652,x93653)+P1(f318(f318(f320(f904(x93651,x93652)),f318(f318(f243(x93651,x93652),f561(x93653,x93652,x93651)),f558(x93653,x93652,x93651))),x93653))
% 182.20/182.07 [9366]P53(x93661,x93662,x93663)+P1(f318(f318(f320(f904(x93661,x93662)),f318(f318(f243(x93661,x93662),f561(x93663,x93662,x93661)),f557(x93663,x93662,x93661))),x93663))
% 182.20/182.07 [9436]~P1(f318(f318(f320(f904(x94361,x94361)),x94362),f318(f318(f280(x94361,x94361,x94361),x94363),f298(x94361,x94363))))+P1(f318(f318(f320(f904(x94361,x94361)),x94362),f318(f318(f174(f904(x94361,x94361),a894),f565(x94363,x94362,x94361)),x94363)))
% 182.20/182.07 [9437]~P1(f318(x94371,f318(f318(f155(x94372),x94373),f318(f180(f899(x94372)),f168(x94372,x94371,x94373)))))+~P1(f318(f318(f227(a898),f318(f180(f899(x94372)),f168(x94372,x94371,x94373))),f318(f180(f899(x94372)),x94373)))
% 182.20/182.07 [9528]~P1(f318(f318(f226(f905(x95281,a894)),x95282),x95283))+P1(f318(f318(f226(f905(x95281,a894)),f318(f318(f7(x95281,f905(x95281,a894),a894),f320(x95281)),x95282)),f318(f318(f7(x95281,f905(x95281,a894),a894),f320(x95281)),x95283)))
% 182.20/182.07 [9590]~P1(f318(f318(f320(f904(f905(x95901,a894),f905(x95901,a894))),f318(f318(f243(f905(x95901,a894),f905(x95901,a894)),x95902),x95903)),f305(x95901)))+P1(f318(f318(f227(f905(x95901,a894)),x95902),x95903))
% 182.20/182.07 [9618]P54(x96181,x96182,x96183)+~P1(f318(f318(f320(f904(x96181,x96181)),f318(f318(f243(x96181,x96181),f543(x96183,x96182,x96181)),f542(x96183,x96182,x96181))),x96183))
% 182.20/182.07 [9619]P54(x96191,x96192,x96193)+~P1(f318(f318(f320(f904(x96191,x96191)),f318(f318(f243(x96191,x96191),f542(x96193,x96192,x96191)),f543(x96193,x96192,x96191))),x96193))
% 182.20/182.07 [9656]~P1(f318(f318(f320(f904(f899(x96561),f899(x96561))),f318(f318(f243(f899(x96561),f899(x96561)),x96562),x96562)),f138(x96561,x96563)))+P1(f318(f318(f320(f904(x96561,x96561)),f318(f318(f243(x96561,x96561),f627(x96562,x96563,x96561)),f627(x96562,x96563,x96561))),x96563))
% 182.20/182.07 [9706]P1(f318(f318(f226(f905(x97061,a894)),x97062),x97063))+~P1(f318(f318(f226(f905(x97061,a894)),f318(f318(f7(x97061,f905(x97061,a894),a894),f320(x97061)),x97062)),f318(f318(f7(x97061,f905(x97061,a894),a894),f320(x97061)),x97063)))
% 182.20/182.07 [9787]E(f318(f318(f23(a898),f318(f318(f6(a898,a898),x97871),f318(f273(a898),x97872))),f318(f318(f6(a898,a898),x97873),f318(f273(a898),x97872))),f318(f318(f6(a898,a898),f318(f318(f18(a898,a898,a898),f318(f318(f8(a898,f905(a898,a898),a898),f23(a898)),x97871)),x97873)),f318(f273(a898),x97872)))+~P1(f318(f318(f226(a898),f318(x97873,f881(x97872,x97871,x97873))),f318(x97871,f881(x97872,x97871,x97873))))
% 182.20/182.07 [5712]~P73(x57121)+E(f318(f318(f23(x57121),f318(f318(f75(x57121),x57122),x57123)),x57123),x57122)
% 182.20/182.07 [5713]~P73(x57131)+E(f318(f318(f75(x57131),f318(f318(f23(x57131),x57132),x57133)),x57133),x57132)
% 182.20/182.07 [5947]~P73(x59471)+E(f318(f318(f75(x59471),x59472),f318(f318(f75(x59471),f318(f74(x59471),x59472)),x59473)),x59473)
% 182.20/182.07 [6036]~P80(x60361)+E(f318(f318(f76(x60361),f318(f318(f235(x60361),x60362),x60363)),x60362),f318(f318(f235(x60361),x60362),f318(a103,x60363)))
% 182.20/182.07 [6037]~P111(x60371)+E(f318(f318(f76(x60371),f318(f318(f235(x60371),x60372),x60373)),x60372),f318(f318(f235(x60371),x60372),f318(a103,x60373)))
% 182.20/182.07 [6261]~P110(x62611)+E(f318(f70(x62611),f318(f318(f235(x62611),f318(f74(x62611),x62612)),x62613)),f318(f70(x62611),f318(f318(f235(x62611),x62612),x62613)))
% 182.20/182.07 [6313]~P80(x63131)+E(f318(f318(f76(x63131),f318(f318(f235(x63131),x63132),x63133)),x63132),f318(f318(f76(x63131),x63132),f318(f318(f235(x63131),x63132),x63133)))
% 182.20/182.07 [6367]E(f318(f318(f23(a90),f318(f318(f75(a90),x63671),x63672)),x63673),f265(x63671,x63672,x63673))+~P1(f318(f318(f227(a90),x63672),x63673))
% 182.20/182.07 [6392]~E(f318(f318(f129(x63921),x63923),x63922),f104(x63921))+P1(f318(f318(f226(a898),f318(f180(f899(x63921)),x63922)),x63923))
% 182.20/182.07 [6531]E(f318(f318(f76(a898),f318(f94(a898),x65311)),f318(f318(f76(a898),f318(f94(a898),x65312)),x65313)),f2(a898))+~P1(f318(f318(f227(a1),x65311),a78))
% 182.20/182.07 [6547]~P60(x65471)+E(f318(f318(f235(x65471),f318(f318(f282(x65471),f73(x65471)),x65472)),x65473),f318(f318(f282(x65471),f73(x65471)),f318(f318(f235(x65471),x65472),x65473)))
% 182.20/182.07 [6629]E(f318(f318(f23(a898),f318(f318(f75(a898),x66291),x66292)),x66293),f318(f318(f23(a898),x66291),f318(f318(f23(a898),x66293),x66292)))+~P1(f318(f318(f226(a898),x66292),x66293))
% 182.20/182.07 [6631]E(f318(f318(f23(a898),f318(f318(f75(a898),x66311),x66312)),x66313),f318(f318(f75(a898),x66311),f318(f318(f23(a898),x66312),x66313)))+~P1(f318(f318(f226(a898),x66313),x66312))
% 182.20/182.07 [6670]~P83(x66701)+P1(f318(f318(f226(x66701),f318(f318(f92(x66701),x66702),x66703)),x66703))
% 182.20/182.07 [6671]~P102(x66711)+P1(f318(f318(f226(x66711),f318(f318(f92(x66711),x66712),x66713)),x66713))
% 182.20/182.07 [6672]~P83(x66721)+P1(f318(f318(f226(x66721),f318(f318(f92(x66721),x66722),x66723)),x66722))
% 182.20/182.07 [6673]~P102(x66731)+P1(f318(f318(f226(x66731),f318(f318(f92(x66731),x66732),x66733)),x66732))
% 182.20/182.07 [6674]~P82(x66741)+P1(f318(f318(f226(x66741),f318(f318(f224(x66741),x66742),x66743)),x66743))
% 182.20/182.07 [6675]~P82(x66751)+P1(f318(f318(f226(x66751),f318(f318(f224(x66751),x66752),x66753)),x66752))
% 182.20/182.07 [6689]E(f318(f318(f30(a1),f318(f318(f30(a1),x66891),x66892)),x66893),f318(f318(f30(a1),x66891),f318(f318(f76(a1),x66892),x66893)))+~P1(f318(f318(f227(a1),f2(a1)),x66893))
% 182.20/182.07 [6743]~P111(x67431)+E(f318(f318(f75(x67431),f318(f318(f76(x67431),x67432),x67433)),x67433),f318(f318(f76(x67431),f318(f318(f75(x67431),x67432),f73(x67431))),x67433))
% 182.20/182.07 [6744]~P95(x67441)+E(f318(f318(f76(x67441),f318(f74(x67441),f318(f94(x67441),x67442))),x67443),f318(f318(f76(x67441),f318(f94(x67441),f318(f74(a1),x67442))),x67443))
% 182.20/182.07 [6817]~P79(x68171)+E(f318(f156(x68171),f318(f318(f145(x68172,x68171),f318(f16(x68171,x68172),f2(x68171))),x68173)),f2(x68171))
% 182.20/182.07 [6835]E(f318(f318(f75(a898),f318(f94(a898),x68351)),f318(f318(f75(a898),f318(f94(a898),x68352)),x68353)),f318(f318(f75(a898),f318(f94(a898),x68352)),x68353))+~P1(f318(a184,f318(f94(a1),x68351)))
% 182.20/182.07 [6850]~P5(x68501)+E(f32(x68501,f318(f318(f300(x68501),x68502),f318(f318(f300(x68501),x68503),f179(f905(x68501,a894))))),f318(f318(f92(x68501),x68502),x68503))
% 182.20/182.07 [6851]~P5(x68511)+E(f31(x68511,f318(f318(f300(x68511),x68512),f318(f318(f300(x68511),x68513),f179(f905(x68511,a894))))),f318(f318(f101(x68511),x68512),x68513))
% 182.20/182.07 [6875]E(f318(f318(f166(x68751),x68752),x68753),x68753)+~P1(f318(f318(f226(a898),f318(f180(f899(x68751)),x68753)),x68752))
% 182.20/182.07 [6887]E(f318(f318(f129(x68871),x68872),x68873),f104(x68871))+~P1(f318(f318(f226(a898),f318(f180(f899(x68871)),x68873)),x68872))
% 182.20/182.07 [6898]E(f318(f318(f75(a898),f318(f318(f23(a898),x68981),x68982)),x68983),f318(f318(f23(a898),f318(f318(f75(a898),x68981),x68983)),x68982))+~P1(f318(f318(f226(a898),x68982),x68981))
% 182.20/182.07 [6912]~P1(f318(f318(f227(a898),x69121),x69123))+P1(f318(f318(f227(a898),f318(f318(f23(a898),x69121),x69122)),x69123))
% 182.20/182.07 [6939]~P82(x69391)+E(f161(x69391,x69392,f318(f318(f139(x69391,x69391,f5(x69391)),x69392),x69393)),x69393)
% 182.20/182.07 [7031]E(f318(f318(f23(a898),f318(f318(f75(a898),x70311),x70312)),f318(a103,x70313)),f318(f318(f23(a898),x70311),f318(a103,f318(f318(f23(a898),x70313),x70312))))+~P1(f318(f318(f226(a898),x70312),x70313))
% 182.20/182.07 [7032]~P110(x70321)+P1(f318(f318(f226(x70321),f2(x70321)),f318(f318(f235(x70321),f318(f70(x70321),x70322)),x70323)))
% 182.20/182.07 [7123]~P1(f318(f28(x71231),x71232))+P1(f318(f28(x71231),f318(f318(f23(f905(x71231,a894)),x71232),x71233)))
% 182.20/182.07 [7124]~P1(f318(f28(x71241),x71243))+P1(f318(f28(x71241),f318(f318(f92(f905(x71241,a894)),x71242),x71243)))
% 182.20/182.07 [7125]~P1(f318(f28(x71251),x71252))+P1(f318(f28(x71251),f318(f318(f92(f905(x71251,a894)),x71252),x71253)))
% 182.20/182.07 [7266]~P36(x72661,x72663)+P36(x72661,f318(f318(f92(f905(f904(x72661,x72661),a894)),x72662),x72663))
% 182.20/182.07 [7267]~P36(x72671,x72672)+P36(x72671,f318(f318(f92(f905(f904(x72671,x72671),a894)),x72672),x72673))
% 182.20/182.07 [7388]~P83(x73881)+E(f10(x73881,f318(f163(x73881),f318(f318(f142(x73881),x73882),x73883))),f318(f133(x73881,x73881,f92(x73881),x73882),x73883))
% 182.20/182.07 [7389]~P83(x73891)+E(f13(x73891,f318(f163(x73891),f318(f318(f142(x73891),x73892),x73893))),f318(f133(x73891,x73891,f101(x73891),x73892),x73893))
% 182.20/182.07 [7390]~P82(x73901)+E(f14(x73901,f318(f163(x73901),f318(f318(f142(x73901),x73902),x73903))),f318(f133(x73901,x73901,f224(x73901),x73902),x73903))
% 182.20/182.07 [7391]~P82(x73911)+E(f15(x73911,f318(f163(x73911),f318(f318(f142(x73911),x73912),x73913))),f318(f133(x73911,x73911,f225(x73911),x73912),x73913))
% 182.20/182.07 [7455]~P1(f318(f28(x74551),x74552))+P1(f318(f318(f226(a898),f318(f29(x74551),x74552)),f318(f29(x74551),f318(f318(f300(x74551),x74553),x74552))))
% 182.20/182.07 [7462]E(f318(f318(f101(f905(a898,a894)),f318(f293(a898,x74621),x74622)),f318(f293(a898,x74622),f318(f318(f75(a898),x74622),x74623))),f318(f293(a898,x74621),f318(f318(f75(a898),x74622),x74623)))+~P1(f318(f318(f226(a898),x74621),x74622))
% 182.20/182.07 [7471]P1(f318(f318(f226(a898),x74711),x74712))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x74713),x74711)),x74712))
% 182.20/182.07 [7472]P1(f318(f318(f226(a898),x74721),x74722))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x74721),x74723)),x74722))
% 182.20/182.07 [7473]P1(f318(f318(f227(a898),x74731),x74732))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),x74731),x74733)),x74732))
% 182.20/182.07 [7513]~P82(x75131)+E(f11(x75131,f224(x75131),f318(f163(x75131),f318(f318(f142(x75131),x75132),x75133))),f318(f133(x75131,x75131,f224(x75131),x75132),x75133))
% 182.20/182.07 [7514]~P82(x75141)+E(f12(x75141,f225(x75141),f318(f163(x75141),f318(f318(f142(x75141),x75142),x75143))),f318(f133(x75141,x75141,f225(x75141),x75142),x75143))
% 182.20/182.07 [7518]~E(x75182,f179(f905(f904(x75181,x75181),a894)))+P1(f318(f318(f226(f905(f904(x75181,x75181),a894)),x75182),x75183))
% 182.20/182.07 [7617]E(f318(f318(f101(f905(x76171,a894)),x76172),f318(f318(f23(f905(x76171,a894)),x76173),x76172)),x76173)+~P1(f318(f318(f226(f905(x76171,a894)),x76172),x76173))
% 182.20/182.07 [7619]~P1(f318(f318(f226(a898),x76191),f318(f318(f75(a898),x76193),x76192)))+P1(f318(f318(f226(a898),f318(f318(f23(a898),x76191),x76192)),x76193))
% 182.20/182.07 [7620]~P1(f318(f318(f227(a898),x76201),f318(f318(f23(a898),x76203),x76202)))+P1(f318(f318(f227(a898),f318(f318(f75(a898),x76201),x76202)),x76203))
% 182.20/182.07 [7677]E(x76771,f104(x76772))+E(f318(f132(x76772),f318(f318(f318(f174(f899(x76772),f899(x76772)),x76773),f158(x76772)),x76771)),f318(f318(f155(x76772),x76771),f40(a898,x76773,f318(f180(f899(x76772)),x76771))))
% 182.20/182.07 [7686]E(f318(f318(f300(x76861),x76862),f318(f318(f23(f905(x76861,a894)),x76863),f318(f318(f300(x76861),x76862),f179(f905(x76861,a894))))),x76863)+~P1(f318(f318(f320(x76861),x76862),x76863))
% 182.20/182.07 [7848]P1(f318(f318(f226(a898),x78481),f318(f318(f75(a898),x78482),x78483)))+~P1(f318(f318(f226(a898),f318(f318(f23(a898),x78481),x78483)),x78482))
% 182.20/182.07 [7849]P1(f318(f318(f227(a898),x78491),f318(f318(f23(a898),x78492),x78493)))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),x78491),x78493)),x78492))
% 182.20/182.07 [7875]P1(f318(f28(x78751),x78752))+~P1(f318(f28(x78751),f318(f318(f101(f905(x78751,a894)),x78753),x78752)))
% 182.20/182.07 [7876]P1(f318(f28(x78761),x78762))+~P1(f318(f28(x78761),f318(f318(f101(f905(x78761,a894)),x78762),x78763)))
% 182.20/182.07 [7950]~P45(x79501,x79503)+P1(f318(f318(f320(f904(x79501,x79501)),f318(f318(f243(x79501,x79501),x79502),x79502)),x79503))
% 182.20/182.07 [8083]E(f318(f318(f155(a898),f130(a898,f318(f293(a898,x80831),x80832))),x80833),f318(f318(f75(a898),x80831),x80833))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),x80831),x80833)),x80832))
% 182.20/182.07 [8149]E(f318(f318(f166(a898),x81491),f130(a898,f318(f293(a898,x81492),x81493))),f130(a898,f318(f293(a898,x81492),f318(f318(f75(a898),x81492),x81491))))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x81492),x81491)),x81493))
% 182.20/182.07 [8206]~P95(x82061)+E(f318(f318(f235(x82061),x82062),f318(f94(a898),f318(f318(f75(a1),x82063),x82063))),f318(f318(f81(x82061,x82061),f318(f318(f235(x82061),x82062),f318(f94(a898),x82063))),f318(f318(f18(x82061,x82061,x82061),f76(x82061)),f5(x82061))))
% 182.20/182.07 [8473]E(f318(f318(f125(x84731),f318(f318(f166(x84731),x84732),x84733)),f318(f318(f142(x84731),f318(f318(f155(x84731),x84733),x84732)),f318(f318(f129(x84731),f318(a103,x84732)),x84733))),x84733)+~P1(f318(f318(f227(a898),x84732),f318(f180(f899(x84731)),x84733)))
% 182.20/182.07 [8480]P1(f318(f318(f226(f905(x84801,a894)),f306(x84801,x84802)),f306(x84801,x84803)))+~P1(f318(f318(f226(f905(x84801,f905(x84801,a894))),x84803),x84802))
% 182.20/182.07 [8481]~P54(x84811,x84812,x84813)+P54(x84811,x84812,f318(f318(f23(f905(f904(x84811,x84811),a894)),x84813),f298(x84811,f179(f905(f904(x84811,x84811),a894)))))
% 182.20/182.07 [8500]P1(f318(f318(f226(f905(x85001,a894)),f307(x85001,x85002)),f307(x85001,x85003)))+~P1(f318(f318(f226(f905(f904(x85001,x85001),a894)),x85003),x85002))
% 182.20/182.07 [8507]~P125(x85071)+P1(f318(f318(f226(x85071),f2(x85071)),f318(f318(f75(x85071),f318(f318(f76(x85071),x85072),x85072)),f318(f318(f76(x85071),x85073),x85073))))
% 182.20/182.07 [8541]P1(f318(f318(f226(f905(x85411,a894)),f318(f272(x85411),x85412)),f318(f272(x85411),x85413)))+~P1(f318(f318(f226(f905(f904(x85411,x85411),a894)),x85412),x85413))
% 182.20/182.07 [8570]~P52(x85701,x85702)+~P1(f318(f318(f320(f904(x85701,x85701)),f318(f318(f243(x85701,x85701),x85703),x85703)),x85702))
% 182.20/182.07 [8572]~P36(x85721,x85722)+~P1(f318(f318(f320(f904(x85721,x85721)),f318(f318(f243(x85721,x85721),x85723),x85723)),x85722))
% 182.20/182.07 [8630]P1(f318(f318(f226(f905(x86301,a894)),f32(f905(x86301,a894),x86302)),f32(f905(x86301,a894),x86303)))+~P1(f318(f318(f226(f905(f905(x86301,a894),a894)),x86303),x86302))
% 182.20/182.07 [8631]P1(f318(f318(f226(f905(x86311,a894)),f31(f905(x86311,a894),x86312)),f31(f905(x86311,a894),x86313)))+~P1(f318(f318(f226(f905(f905(x86311,a894),a894)),x86312),x86313))
% 182.20/182.07 [8685]~P8(x86851,x86853,x86852)+P1(f318(f318(f226(f905(f904(x86851,x86851),a894)),x86852),f318(f318(f245(x86851,x86851),x86853),f318(f16(f905(x86851,a894),x86851),x86853))))
% 182.20/182.07 [8686]~P51(x86861,x86863,x86862)+P1(f318(f318(f226(f905(f904(x86861,x86861),a894)),x86862),f318(f318(f245(x86861,x86861),x86863),f318(f16(f905(x86861,a894),x86861),x86863))))
% 182.20/182.07 [8735]~P87(x87351)+P1(f318(f318(f226(x87351),f318(f318(f23(x87351),f318(f70(x87351),x87352)),f318(f70(x87351),x87353))),f318(f70(x87351),f318(f318(f23(x87351),x87353),x87352))))
% 182.20/182.07 [8736]~P87(x87361)+P1(f318(f318(f226(x87361),f318(f318(f23(x87361),f318(f70(x87361),x87362)),f318(f70(x87361),x87363))),f318(f70(x87361),f318(f318(f23(x87361),x87362),x87363))))
% 182.20/182.07 [8768]P1(f318(f318(f226(f905(f904(x87681,x87681),a894)),f298(x87681,x87682)),f298(x87681,x87683)))+~P1(f318(f318(f226(f905(f904(x87681,x87681),a894)),x87682),x87683))
% 182.20/182.07 [8879]~P24(x88792,x88791,x88793,f233(f905(x88792,a894)))+E(f318(f67(x88791,x88792,x88792,f86(x88792,x88791,f233(f905(x88792,a894)),x88793)),x88793),f25(x88792))
% 182.20/182.07 [8939]P54(x89391,x89392,x89393)+~P54(x89391,x89392,f318(f318(f23(f905(f904(x89391,x89391),a894)),x89393),f298(x89391,f179(f905(f904(x89391,x89391),a894)))))
% 182.20/182.07 [8959]P1(f318(f318(f226(f905(f904(f899(x89591),f899(x89591)),a894)),f148(x89591,x89592)),f148(x89591,x89593)))+~P1(f318(f318(f226(f905(f904(x89591,x89591),a894)),x89592),x89593))
% 182.20/182.07 [8960]P1(f318(f318(f226(f905(f904(f899(x89601),f899(x89601)),a894)),f149(x89601,x89602)),f149(x89601,x89603)))+~P1(f318(f318(f226(f905(f904(x89601,x89601),a894)),x89602),x89603))
% 182.20/182.07 [8981]~P51(x89811,x89813,x89812)+P1(f318(f318(f226(f905(f904(x89811,x89811),a894)),x89812),f318(f318(f280(x89811,x89811,x89811),f318(f277(x89811,x89811),x89812)),x89812)))
% 182.20/182.07 [9035]~P1(f318(f128(x90351),x90352))+E(f318(f127(x90351,f318(f318(f7(x90351,f905(x90351,a894),a894),f320(x90351)),f318(f163(x90351),f167(x90351,x90352,x90353)))),x90352),f167(x90351,x90352,x90353))
% 182.20/182.07 [9090]E(x90901,x90902)+~P1(f318(f318(f320(f904(x90903,x90903)),f318(f318(f243(x90903,x90903),x90901),x90902)),f298(x90903,f179(f905(f904(x90903,x90903),a894)))))
% 182.20/182.07 [9172]P1(f318(f318(f320(x91721),x91722),f307(x91721,x91723)))+P1(f318(f318(f320(f904(x91721,x91721)),f318(f318(f243(x91721,x91721),f485(x91723,x91722,x91721)),x91722)),x91723))
% 182.20/182.07 [9173]P1(f318(f318(f320(x91731),x91732),f307(x91731,x91733)))+P1(f318(f318(f320(f904(x91731,x91731)),f318(f318(f243(x91731,x91731),f545(x91733,x91732,x91731)),x91732)),x91733))
% 182.20/182.07 [9174]P1(f318(f318(f320(x91741),x91742),f307(x91741,x91743)))+P1(f318(f318(f320(f904(x91741,x91741)),f318(f318(f243(x91741,x91741),f547(x91743,x91742,x91741)),x91742)),x91743))
% 182.20/182.07 [9210]P24(x92101,x92102,x92103,f233(f905(x92101,a894)))+~E(f318(f67(x92102,x92101,x92101,f86(x92101,x92102,f233(f905(x92101,a894)),x92103)),x92103),f25(x92101))
% 182.20/182.07 [9264]~P1(f318(f318(f320(f899(x92641)),x92643),f152(x92641,x92642)))+P1(f318(f151(x92641,f318(f318(f7(x92641,f905(x92641,a894),a894),f320(x92641)),x92642)),x92643))
% 182.20/182.07 [9287]P1(f318(x92873,x92872))+E(f318(f253(x92871),f318(f318(f18(x92871,a894,a894),f318(f318(f8(a894,f905(a894,a894),x92871),a316),f318(a315,x92872))),x92873)),f179(f905(x92871,a894)))
% 182.20/182.07 [9304]~P87(x93041)+P1(f318(f318(f226(x93041),f318(f70(x93041),f318(f318(f23(x93041),f318(f70(x93041),x93042)),f318(f70(x93041),x93043)))),f318(f70(x93041),f318(f318(f23(x93041),x93042),x93043))))
% 182.20/182.07 [9318]~P1(f318(x93183,x93182))+E(f318(f253(x93181),f318(f318(f18(x93181,a894,a894),f318(f318(f8(a894,f905(a894,a894),x93181),a316),f318(a315,x93182))),x93183)),f318(f318(f300(x93181),x93182),f179(f905(x93181,a894))))
% 182.20/182.07 [9327]~P1(f318(f318(f320(f905(x93271,a894)),x93273),f318(f299(x93271),x93272)))+P1(f318(f239(x93271,f318(f318(f7(x93271,f905(x93271,a894),a894),f320(x93271)),x93272)),x93273))
% 182.20/182.07 [9364]P36(x93641,x93642)+P1(f318(f318(f320(f904(x93641,x93641)),f318(f318(f243(x93641,x93641),f318(f494(x93642,x93641),f318(a103,x93643))),f318(f494(x93642,x93641),x93643))),x93642))
% 182.20/182.07 [9505]P1(f318(f318(f320(f899(x95051)),x95052),f152(x95051,x95053)))+~P1(f318(f151(x95051,f318(f318(f7(x95051,f905(x95051,a894),a894),f320(x95051)),x95053)),x95052))
% 182.20/182.07 [9520]P1(f318(f318(f320(f905(x95201,a894)),x95202),f318(f299(x95201),x95203)))+~P1(f318(f239(x95201,f318(f318(f7(x95201,f905(x95201,a894),a894),f320(x95201)),x95203)),x95202))
% 182.20/182.07 [9585]P1(f318(f318(f320(x95851),f318(f259(x95851,x95852),x95853)),f318(f163(x95851),f318(f318(f145(f904(a90,x95851),x95851),f247(a90,x95851)),x95852))))+~P1(f318(f318(f227(a90),x95853),f318(f156(a90),f318(f318(f145(f904(a90,x95851),a90),f242(a90,x95851)),x95852))))
% 182.20/182.07 [9635]P1(f318(f318(f226(f905(f904(f899(x96351),f899(x96351)),a894)),f149(x96351,x96352)),f318(f318(f245(f899(x96351),f899(x96351)),f152(x96351,x96353)),f318(f16(f905(f899(x96351),a894),f899(x96351)),f152(x96351,x96353)))))+~P1(f318(f318(f226(f905(f904(x96351,x96351),a894)),x96352),f318(f318(f245(x96351,x96351),x96353),f318(f16(f905(x96351,a894),x96351),x96353))))
% 182.20/182.07 [9659]P1(f318(f318(f320(x96591),f318(f242(x96591,f904(a90,a90)),f318(f257(x96591,x96592),x96593))),f318(f163(x96591),f318(f318(f145(f904(a90,x96591),x96591),f247(a90,x96591)),x96592))))+~P1(f318(f318(f227(a90),f2(a90)),f318(f156(a90),f318(f318(f145(f904(a90,x96591),a90),f242(a90,x96591)),x96592))))
% 182.20/182.07 [9674]~P1(f318(f318(f226(f905(f904(x96741,x96741),a894)),x96742),f318(f318(f245(x96741,x96741),x96743),f318(f16(f905(x96741,a894),x96741),x96743))))+P1(f318(f318(f226(f905(f904(x96741,x96741),a894)),f318(f318(f280(x96741,x96741,x96741),x96742),f298(x96741,x96742))),f318(f318(f245(x96741,x96741),x96743),f318(f16(f905(x96741,a894),x96741),x96743))))
% 182.20/182.07 [9972]~P36(x99721,x99722)+~P1(f318(f318(f320(f904(x99721,x99721)),f318(f318(f243(x99721,x99721),f318(x99723,f318(a103,f495(x99722,x99721,x99723)))),f318(x99723,f495(x99722,x99721,x99723)))),x99722))
% 182.20/182.07 [9973]~P36(x99731,x99732)+~P1(f318(f318(f320(f904(x99731,x99731)),f318(f318(f243(x99731,x99731),f318(x99733,f318(a103,f553(x99733,x99732,x99731)))),f318(x99733,f553(x99733,x99732,x99731)))),x99732))
% 182.20/182.07 [10227]P1(f318(f318(f226(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)),f318(f318(f280(f905(x102271,a894),f905(x102271,a894),f905(x102271,a894)),f311(x102271,x102272)),f318(f318(f101(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)),f311(x102271,x102273)),f318(f318(f300(f904(f905(x102271,a894),f905(x102271,a894))),f318(f318(f243(f905(x102271,a894),f905(x102271,a894)),f179(f905(x102271,a894))),f179(f905(x102271,a894)))),f179(f905(f904(f905(x102271,a894),f905(x102271,a894)),a894)))))),f311(x102271,x102272)))+~P1(f318(f318(f226(f905(f904(x102271,x102271),a894)),f318(f318(f280(x102271,x102271,x102271),x102272),x102273)),x102272))
% 182.20/182.07 [10228]P1(f318(f318(f226(f905(f904(f905(x102281,a894),f905(x102281,a894)),a894)),f318(f318(f280(f905(x102281,a894),f905(x102281,a894),f905(x102281,a894)),f309(x102281,x102282)),f318(f318(f101(f905(f904(f905(x102281,a894),f905(x102281,a894)),a894)),f309(x102281,x102283)),f318(f318(f300(f904(f905(x102281,a894),f905(x102281,a894))),f318(f318(f243(f905(x102281,a894),f905(x102281,a894)),f179(f905(x102281,a894))),f179(f905(x102281,a894)))),f179(f905(f904(f905(x102281,a894),f905(x102281,a894)),a894)))))),f309(x102281,x102282)))+~P1(f318(f318(f226(f905(f904(x102281,x102281),a894)),f318(f318(f280(x102281,x102281,x102281),x102282),x102283)),x102282))
% 182.20/182.07 [7387]~P1(f318(f318(f226(a898),x73872),x73871))+E(f318(f318(f23(a898),f318(a103,f318(f318(f23(a898),x73871),x73872))),x73873),f318(f318(f23(a898),f318(a103,x73871)),f318(f318(f75(a898),x73872),x73873)))
% 182.20/182.07 [7427]~P3(x74271)+E(f318(f318(f75(x74271),f40(x74271,x74272,x74273)),f318(f318(f76(x74271),f318(f318(f30(x74271),x74272),x74273)),x74273)),x74272)
% 182.20/182.07 [7624]E(f318(f318(f76(a898),f318(f94(a898),x76241)),f318(f318(f76(a898),f318(f94(a898),x76242)),x76243)),f318(f318(f76(a898),f318(f94(a898),f318(f318(f76(a1),x76241),x76242))),x76243))+P1(f318(f318(f227(a1),x76241),a78))
% 182.20/182.07 [8092]~P1(f318(f318(f226(a898),x80923),x80922))+P1(f318(f318(f226(a898),x80921),f318(f318(f23(a898),f318(f318(f75(a898),x80922),x80921)),x80923)))
% 182.20/182.07 [8292]~P1(f318(f318(f226(a898),x82921),x82922))+E(f318(f318(f125(a898),f130(a898,f318(f293(a898,x82921),x82922))),f130(a898,f318(f293(a898,x82922),f318(f318(f75(a898),x82922),x82923)))),f130(a898,f318(f293(a898,x82921),f318(f318(f75(a898),x82922),x82923))))
% 182.20/182.07 [8549]~P1(f318(f28(x85491),x85492))+E(f318(a103,f318(f29(x85491),f318(f318(f23(f905(x85491,a894)),x85492),f318(f318(f300(x85491),x85493),f179(f905(x85491,a894)))))),f318(f29(x85491),f318(f318(f300(x85491),x85493),x85492)))
% 182.20/182.07 [8588]~P1(f318(f28(x85881),x85882))+E(f318(f318(f75(a898),f73(a898)),f318(f29(x85881),f318(f318(f23(f905(x85881,a894)),x85882),f318(f318(f300(x85881),x85883),f179(f905(x85881,a894)))))),f318(f29(x85881),f318(f318(f300(x85881),x85883),x85882)))
% 182.20/182.07 [8777]E(f318(f318(f23(a898),f318(f29(x87771),x87772)),f318(f29(x87771),f318(f318(f92(f905(x87771,a894)),x87772),x87773))),f318(f29(x87771),f318(f318(f23(f905(x87771,a894)),x87772),x87773)))+~P1(f318(f28(x87771),f318(f318(f92(f905(x87771,a894)),x87772),x87773)))
% 182.20/182.07 [9030]~P6(f318(x90302,f371(x90302,x90303,x90301)))+E(f318(f91(a1),f318(f318(f6(x90301,a898),f318(f318(f8(a1,a898,x90301),a95),x90302)),x90303)),f318(f318(f6(x90301,a1),x90302),x90303))
% 182.20/182.07 [9031]~P6(f318(x90312,f372(x90312,x90313,x90311)))+E(f318(f91(a1),f318(f318(f9(x90311,a898),f318(f318(f8(a1,a898,x90311),a95),x90312)),x90313)),f318(f318(f9(x90311,a1),x90312),x90313))
% 182.20/182.07 [9073]~P1(f318(f28(x90731),x90733))+P1(f318(f318(f226(a898),f318(f318(f23(a898),f318(f29(x90731),x90732)),f318(f29(x90731),x90733))),f318(f29(x90731),f318(f318(f23(f905(x90731,a894)),x90732),x90733))))
% 182.20/182.07 [9100]P1(f318(f318(f320(x91001),f371(x91002,x91003,x91001)),x91003))+E(f318(f91(a1),f318(f318(f6(x91001,a898),f318(f318(f8(a1,a898,x91001),a95),x91002)),x91003)),f318(f318(f6(x91001,a1),x91002),x91003))
% 182.20/182.07 [9101]P1(f318(f318(f320(x91011),f372(x91012,x91013,x91011)),x91013))+E(f318(f91(a1),f318(f318(f9(x91011,a898),f318(f318(f8(a1,a898,x91011),a95),x91012)),x91013)),f318(f318(f9(x91011,a1),x91012),x91013))
% 182.20/182.07 [9164]E(f80(x91641,f318(f318(f7(x91641,f905(x91641,a894),a894),f320(x91641)),f318(f318(f23(f905(x91641,a894)),x91642),f318(f318(f300(x91641),x91643),f179(f905(x91641,a894)))))),f238(x91641,x91643,x91642))+P1(f318(f318(f226(f905(x91641,a894)),x91642),f318(f318(f300(x91641),x91643),f179(f905(x91641,a894)))))
% 182.20/182.07 [9521]E(f318(f318(f145(f899(x95211),x95211),f318(f318(f7(f899(x95211),a898,x95211),f155(x95211)),x95212)),f318(f127(f899(x95211),f318(f318(f8(a898,a894,f899(x95211)),f318(f227(a898),x95212)),f180(f899(x95211)))),x95213)),f318(f318(f155(f899(x95211)),f170(x95211,x95213)),x95212))+~P1(f318(f318(f227(a898),x95212),f318(f180(f899(f899(x95211))),f170(x95211,x95213))))
% 182.20/182.07 [9608]E(f318(f127(x96081,x96082),x96083),f168(x96081,x96082,x96083))+P1(f318(f318(f320(x96081),f701(x96083,x96082,x96081)),f318(f163(x96081),f318(f318(f129(x96081),f318(f180(f899(x96081)),f168(x96081,x96082,x96083))),x96083))))
% 182.20/182.07 [9747]E(f318(f318(f129(x97471),f318(f180(f899(x97471)),f168(x97471,x97472,x97473))),x97473),f104(x97471))+~P1(f318(x97472,f318(f132(x97471),f318(f318(f129(x97471),f318(f180(f899(x97471)),f168(x97471,x97472,x97473))),x97473))))
% 182.20/182.07 [9839]~P1(f318(f318(f320(f904(x98391,x98391)),x98392),f298(x98391,x98393)))+P1(f318(f318(f320(f904(x98391,x98391)),x98392),f318(f318(f34(a898,f905(f904(x98391,x98391),a894)),f233(f905(a898,a894))),f318(f318(f7(a898,f905(f904(x98391,x98391),a894),f905(f904(x98391,x98391),a894)),f174(f904(x98391,x98391),a894)),x98393))))
% 182.20/182.07 [9899]~P1(f318(f318(f226(f905(x98991,a894)),f318(f318(f34(a898,f905(x98991,a894)),f318(f293(a898,f2(a898)),f430(x98993,x98992,x98991))),x98992)),x98993))+P1(f318(f318(f226(f905(x98991,a894)),f318(f318(f34(a898,f905(x98991,a894)),f233(f905(a898,a894))),x98992)),x98993))
% 182.20/182.07 [9945]~P1(f318(f318(f227(a1),f2(a1)),x99453))+P1(f318(f318(f227(a1),x99451),f318(f318(f75(a1),x99452),f318(f318(f76(a1),f318(f318(f75(a1),f318(f70(a1),f318(f318(f23(a1),x99452),x99451))),f73(a1))),x99453))))
% 182.20/182.07 [9959]~P36(x99591,f318(f318(f101(f905(f904(x99591,x99591),a894)),x99592),x99593))+P36(x99591,f318(f318(f101(f905(f904(x99591,x99591),a894)),f318(f318(f101(f905(f904(x99591,x99591),a894)),f318(f318(f280(x99591,x99591,x99591),x99592),x99592)),f318(f318(f280(x99591,x99591,x99591),x99593),x99592))),x99593))
% 182.20/182.07 [10034]P36(x100341,f318(f318(f101(f905(f904(x100341,x100341),a894)),x100342),x100343))+~P36(x100341,f318(f318(f101(f905(f904(x100341,x100341),a894)),f318(f318(f101(f905(f904(x100341,x100341),a894)),f318(f318(f280(x100341,x100341,x100341),x100342),x100342)),f318(f318(f280(x100341,x100341,x100341),x100343),x100342))),x100343))
% 182.20/182.07 [9612]~P127(x96121)+E(f318(f93(x96121),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x96122),x96123)),f179(f905(f904(a898,a898),a894)))))),f318(f318(f23(x96121),f318(f91(x96121),x96122)),f318(f91(x96121),x96123)))
% 182.20/182.07 [9694]P1(f318(x96943,x96942))+E(f318(f253(x96941),f318(f318(f18(x96941,a894,a894),f318(f318(f8(a894,f905(a894,a894),x96941),a316),f318(f318(f7(x96941,x96941,a894),a315),x96942))),x96943)),f179(f905(x96941,a894)))
% 182.20/182.07 [9696]~P1(f318(x96963,x96962))+E(f318(f253(x96961),f318(f318(f18(x96961,a894,a894),f318(f318(f8(a894,f905(a894,a894),x96961),a316),f318(f318(f7(x96961,x96961,a894),a315),x96962))),x96963)),f318(f318(f300(x96961),x96962),f179(f905(x96961,a894))))
% 182.20/182.07 [9925]E(x99251,x99252)+P1(f318(f318(f234(x99253,x99253,f318(f318(f8(f905(x99253,a894),f905(x99253,a894),x99253),f318(f8(a894,a894,x99253),a313)),a315)),x99251),x99252))
% 182.20/182.07 [10014]~E(x100141,x100142)+~P1(f318(f318(f234(x100143,x100143,f318(f318(f8(f905(x100143,a894),f905(x100143,a894),x100143),f318(f8(a894,a894,x100143),a313)),a315)),x100141),x100142))
% 182.20/182.07 [10026]~P1(f318(f28(x100261),x100263))+E(f318(f318(f58(x100261,f905(x100261,a894),f318(f318(f8(f905(x100261,a894),f905(f905(x100261,a894),f905(x100261,a894)),x100261),f318(f7(f905(x100261,a894),f905(x100261,a894),f905(x100261,a894)),f23(f905(x100261,a894)))),f318(f318(f7(x100261,f905(x100261,a894),f905(x100261,a894)),f300(x100261)),f179(f905(x100261,a894))))),x100262),x100263),f318(f318(f23(f905(x100261,a894)),x100262),x100263))
% 182.20/182.07 [10056]~P1(f318(f318(f227(a1),f2(a1)),x100563))+P1(f318(f318(f227(a1),f318(f318(f23(a1),x100561),f318(f318(f76(a1),f318(f318(f75(a1),f318(f70(a1),f318(f318(f23(a1),x100561),x100562))),f73(a1))),x100563))),x100562))
% 182.20/182.07 [10317]~P1(f318(f318(f320(x103171),x103173),f307(x103171,x103172)))+P1(f318(f306(x103171,f318(f318(f7(x103171,f905(f904(x103171,x103171),a894),f905(x103171,a894)),f318(f318(f8(f905(x103171,f905(f905(f904(x103171,x103171),a894),a894)),f905(f905(f904(x103171,x103171),a894),f905(x103171,a894)),x103171),f7(x103171,f905(f904(x103171,x103171),a894),a894)),f318(f318(f8(f905(x103171,f904(x103171,x103171)),f905(x103171,f905(f905(f904(x103171,x103171),a894),a894)),x103171),f318(f8(f904(x103171,x103171),f905(f905(f904(x103171,x103171),a894),a894),x103171),f320(f904(x103171,x103171)))),f243(x103171,x103171)))),x103172)),x103173))
% 182.20/182.07 [10330]P1(f318(f318(f320(x103301),x103302),f307(x103301,x103303)))+~P1(f318(f306(x103301,f318(f318(f7(x103301,f905(f904(x103301,x103301),a894),f905(x103301,a894)),f318(f318(f8(f905(x103301,f905(f905(f904(x103301,x103301),a894),a894)),f905(f905(f904(x103301,x103301),a894),f905(x103301,a894)),x103301),f7(x103301,f905(f904(x103301,x103301),a894),a894)),f318(f318(f8(f905(x103301,f904(x103301,x103301)),f905(x103301,f905(f905(f904(x103301,x103301),a894),a894)),x103301),f318(f8(f904(x103301,x103301),f905(f905(f904(x103301,x103301),a894),a894),x103301),f320(f904(x103301,x103301)))),f243(x103301,x103301)))),x103303)),x103302))
% 182.20/182.07 [9897]~P1(f318(f28(x98971),f318(f253(x98971),x98973)))+P1(f318(f28(x98971),f318(f253(x98971),f318(f318(f18(x98971,a894,a894),f318(f318(f8(a894,f905(a894,a894),x98971),a316),x98972)),x98973))))
% 182.20/182.07 [9898]~P1(f318(f28(x98981),f318(f253(x98981),x98982)))+P1(f318(f28(x98981),f318(f253(x98981),f318(f318(f18(x98981,a894,a894),f318(f318(f8(a894,f905(a894,a894),x98981),a316),x98982)),x98983))))
% 182.20/182.07 [9993]P1(f318(f28(x99931),f318(f253(x99931),x99932)))+~P1(f318(f28(x99931),f318(f253(x99931),f318(f318(f18(x99931,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99931),a317),x99933)),x99932))))
% 182.20/182.07 [9994]P1(f318(f28(x99941),f318(f253(x99941),x99942)))+~P1(f318(f28(x99941),f318(f253(x99941),f318(f318(f18(x99941,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99941),a317),x99942)),x99943))))
% 182.20/182.07 [10296]~P1(f318(f28(x102961),x102962))+P1(f318(f28(f899(x102961)),f318(f253(f899(x102961)),f318(f318(f18(f899(x102961),a894,a894),f318(f318(f8(a894,f905(a894,a894),f899(x102961)),a316),f318(f318(f7(f899(x102961),f905(x102961,a894),a894),f318(f318(f8(f905(x102961,a894),f905(f905(x102961,a894),a894),f899(x102961)),f226(f905(x102961,a894))),f163(x102961))),x102962))),f318(f318(f7(f899(x102961),a898,a894),f318(f318(f8(a898,f905(a898,a894),f899(x102961)),a315),f180(f899(x102961)))),x102963)))))
% 182.20/182.07 [10297]~P1(f318(f28(x102971),x102972))+P1(f318(f28(f899(x102971)),f318(f253(f899(x102971)),f318(f318(f18(f899(x102971),a894,a894),f318(f318(f8(a894,f905(a894,a894),f899(x102971)),a316),f318(f318(f7(f899(x102971),f905(x102971,a894),a894),f318(f318(f8(f905(x102971,a894),f905(f905(x102971,a894),a894),f899(x102971)),f226(f905(x102971,a894))),f163(x102971))),x102972))),f318(f318(f7(f899(x102971),a898,a894),f318(f318(f8(a898,f905(a898,a894),f899(x102971)),f226(a898)),f180(f899(x102971)))),x102973)))))
% 182.20/182.07 [10007]~P111(x100071)+E(f318(f318(f235(x100071),x100072),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100073)),f318(f318(f76(x100071),f318(f318(f235(x100071),x100072),x100073)),f318(f318(f235(x100071),x100072),x100073)))
% 182.20/182.07 [10037]~P80(x100371)+E(f318(f318(f235(x100371),f318(f318(f235(x100371),x100372),x100373)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f235(x100371),x100372),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100373)))
% 182.20/182.07 [10093]~P127(x100931)+E(f318(f318(f235(x100931),f318(f74(x100931),x100932)),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100933)),f318(f318(f235(x100931),x100932),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100933)))
% 182.20/182.07 [10235]~P110(x102351)+P1(f318(f318(f226(x102351),f2(x102351)),f318(f318(f75(x102351),f318(f318(f235(x102351),x102352),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102351),x102353),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))))
% 182.20/182.07 [10103]~P111(x101031)+E(f318(f318(f235(x101031),x101032),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x101033))),f318(f318(f76(x101031),x101032),f318(f318(f76(x101031),f318(f318(f235(x101031),x101032),x101033)),f318(f318(f235(x101031),x101032),x101033))))
% 182.20/182.07 [10153]~P80(x101531)+E(f318(f318(f76(x101531),x101532),f318(f318(f235(x101531),f318(f318(f235(x101531),x101532),x101533)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x101531),x101532),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x101533))))
% 182.20/182.07 [10192]~P110(x101921)+P1(f318(f318(f226(x101921),f2(x101921)),f318(f318(f235(x101921),x101922),f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x101923))))
% 182.20/182.07 [10272]~P95(x102721)+E(f318(f318(f23(x102721),f318(f318(f75(x102721),f318(f318(f235(x102721),x102722),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102721),x102723),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f318(f318(f76(x102721),f318(f318(f76(x102721),f318(f94(x102721),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102722)),x102723)),f318(f318(f235(x102721),f318(f318(f23(x102721),x102722),x102723)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.07 [10273]~P95(x102731)+E(f318(f318(f75(x102731),f318(f318(f75(x102731),f318(f318(f235(x102731),x102732),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102731),x102733),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f318(f318(f76(x102731),f318(f318(f76(x102731),f318(f94(x102731),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102732)),x102733)),f318(f318(f235(x102731),f318(f318(f75(x102731),x102732),x102733)),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.07 [7892]P24(x78921,x78922,x78923,x78924)+~E(f479(x78924,x78923,x78922,x78921),f481(x78924,x78923,x78922,x78921))
% 182.20/182.07 [8183]P33(x81831,x81832,x81833,x81834,f104(x81832))+~E(x81834,f104(x81831))
% 182.20/182.07 [8184]P33(x81841,x81842,x81843,f104(x81841),x81844)+~E(x81844,f104(x81842))
% 182.20/182.07 [8725]~P33(x87252,x87253,x87254,x87251,f104(x87253))+E(x87251,f104(x87252))
% 182.20/182.07 [8726]~P33(x87263,x87262,x87264,f104(x87263),x87261)+E(x87261,f104(x87262))
% 182.20/182.07 [5131]~P17(x51313,x51311,x51314)+E(f318(f318(x51311,x51312),x51312),x51312)
% 182.20/182.07 [5377]P1(f318(x53772,x53774))+E(f318(f127(x53771,x53772),f160(x53771,x53773,x53774)),f104(x53771))
% 182.20/182.07 [5415]~E(x54154,f179(f905(x54151,a894)))+E(f318(f301(x54151,x54152,x54153),x54154),f179(f905(x54152,a894)))
% 182.20/182.07 [5661]~P1(f318(x56612,x56614))+E(f318(f127(x56611,x56612),f160(x56611,x56613,x56614)),f160(x56611,x56613,x56614))
% 182.20/182.07 [5691]~E(f318(f301(x56912,x56913,x56914),x56911),f179(f905(x56913,a894)))+E(x56911,f179(f905(x56912,a894)))
% 182.20/182.07 [5878]~P7(x58781,x58783)+E(f262(x58781,x58782,f261(x58781,x58783),x58784),x58784)
% 182.20/182.07 [5994]~P82(x59942)+E(f318(f318(f139(x59941,x59942,x59943),x59944),f104(x59941)),f318(f318(f142(x59941),x59944),f104(x59941)))
% 182.20/182.07 [6361]~E(x63611,f179(f905(x63612,a894)))+~P1(f318(f56(x63612,x63613,x63611),x63614))
% 182.20/182.07 [6384]~P57(x63841,x63843,x63844,x63842)+P1(f318(f28(x63841),x63842))
% 182.20/182.07 [6386]~P57(x63861,x63863,x63862,x63864)+P1(f318(f28(x63861),x63862))
% 182.20/182.07 [6394]~P57(x63942,x63943,x63944,x63941)+~E(x63941,f179(f905(x63942,a894)))
% 182.20/182.07 [6428]~P108(x64281)+E(f318(f318(f92(f905(x64281,a894)),f318(f293(x64281,x64282),x64283)),f294(x64281,x64283,x64284)),f179(f905(x64281,a894)))
% 182.20/182.07 [6455]~P1(f318(f318(x64553,x64554),x64552))+P1(f318(f318(f320(x64551),x64552),f285(x64551,x64553,x64554)))
% 182.20/182.07 [6456]~P1(f318(f318(x64563,x64564),x64562))+P1(f318(f318(f320(x64561),x64562),f286(x64561,x64563,x64564)))
% 182.20/182.07 [6457]~P1(f318(f318(x64573,x64572),x64574))+P1(f318(f318(f320(x64571),x64572),f287(x64571,x64573,x64574)))
% 182.20/182.07 [6458]~P1(f318(f318(x64583,x64582),x64584))+P1(f318(f318(f320(x64581),x64582),f289(x64581,x64583,x64584)))
% 182.20/182.07 [6604]~P108(x66041)+E(f318(f318(f92(f905(x66041,a894)),f294(x66041,x66042,x66043)),f297(x66041,x66043,x66044)),f179(f905(x66041,a894)))
% 182.20/182.07 [6605]~P108(x66051)+E(f318(f318(f92(f905(x66051,a894)),f294(x66051,x66052,x66053)),f296(x66051,x66053,x66054)),f179(f905(x66051,a894)))
% 182.20/182.07 [6606]~P108(x66061)+E(f318(f318(f92(f905(x66061,a894)),f297(x66061,x66062,x66063)),f294(x66061,x66063,x66064)),f179(f905(x66061,a894)))
% 182.20/182.07 [6607]~P108(x66071)+E(f318(f318(f92(f905(x66071,a894)),f296(x66071,x66072,x66073)),f297(x66071,x66073,x66074)),f179(f905(x66071,a894)))
% 182.20/182.07 [6608]~P108(x66081)+E(f318(f318(f92(f905(x66081,a894)),f296(x66081,x66082,x66083)),f296(x66081,x66083,x66084)),f179(f905(x66081,a894)))
% 182.20/182.07 [6646]P1(f318(f318(x66461,x66462),f491(x66462,x66461)))+~P1(f318(f240(x66463,x66464,x66461),x66462))
% 182.20/182.07 [6728]~P82(x67282)+E(f318(f163(x67281),f141(x67281,x67282,x67283,x67284)),f318(f163(x67281),x67284))
% 182.20/182.07 [6780]~P144(x67801)+E(f181(x67801,x67802,f318(a103,x67803),x67804),f181(x67801,x67802,x67803,f318(x67802,x67804)))
% 182.20/182.07 [6844]~P1(f318(f318(f320(x68444),x68443),f285(x68444,x68441,x68442)))+P1(f318(f318(x68441,x68442),x68443))
% 182.20/182.07 [6845]~P1(f318(f318(f320(x68454),x68453),f286(x68454,x68451,x68452)))+P1(f318(f318(x68451,x68452),x68453))
% 182.20/182.07 [6846]~P1(f318(f318(f320(x68464),x68462),f287(x68464,x68461,x68463)))+P1(f318(f318(x68461,x68462),x68463))
% 182.20/182.07 [6847]~P1(f318(f318(f320(x68474),x68472),f289(x68474,x68471,x68473)))+P1(f318(f318(x68471,x68472),x68473))
% 182.20/182.07 [6924]E(f318(f29(f903(x69241,x69242)),f304(x69241,x69242,x69243,x69244)),f2(a898))+P1(f318(f28(x69242),x69244))
% 182.20/182.07 [6925]E(f318(f29(f903(x69251,x69252)),f304(x69251,x69252,x69253,x69254)),f2(a898))+P1(f318(f28(x69251),x69253))
% 182.20/182.07 [7131]~P14(x71314,x71311,x71312)+E(f318(f67(x71311,x71311,x71311,f318(x71312,x71313)),f318(x71312,x71313)),f318(x71312,x71313))
% 182.20/182.07 [7372]E(f268(x73721,x73722,x73723,x73724),f318(f243(f905(a90,f905(a894,f901(f900(x73721)))),f904(a90,a90)),f36(x73721)))+~P1(f318(f318(f226(a90),x73723),f2(a90)))
% 182.20/182.07 [8015]~E(x80152,x80153)+P1(f318(f318(f320(f904(x80151,x80151)),f318(f318(f243(x80151,x80151),x80152),x80153)),f298(x80151,x80154)))
% 182.20/182.07 [8044]~P24(x80441,x80442,x80443,f233(f905(x80441,a894)))+E(f318(f72(x80441,x80442,f233(f905(x80441,a894)),x80443),f318(x80443,x80444)),x80444)
% 182.20/182.07 [8045]~P24(x80451,x80452,x80453,f233(f905(x80451,a894)))+E(f318(f86(x80451,x80452,f233(f905(x80451,a894)),x80453),f318(x80453,x80454)),x80454)
% 182.20/182.07 [8132]~P1(f318(f318(f320(f899(x81321)),f318(f318(f142(x81321),x81324),x81322)),f152(x81321,x81323)))+P1(f318(f318(f320(f899(x81321)),x81322),f152(x81321,x81323)))
% 182.20/182.07 [8133]~P1(f318(f318(f320(f899(x81331)),f318(f318(f125(x81331),x81334),x81332)),f152(x81331,x81333)))+P1(f318(f318(f320(f899(x81331)),x81332),f152(x81331,x81333)))
% 182.20/182.07 [8134]~P1(f318(f318(f320(f899(x81341)),f318(f318(f125(x81341),x81342),x81344)),f152(x81341,x81343)))+P1(f318(f318(f320(f899(x81341)),x81342),f152(x81341,x81343)))
% 182.20/182.07 [8145]~P82(x81451)+P13(x81451,f318(f318(f145(x81452,x81451),x81453),f141(x81452,x81451,x81453,x81454)))
% 182.20/182.07 [8250]P24(x82504,x82503,x82501,x82502)+E(f318(x82501,f479(x82502,x82501,x82503,x82504)),f318(x82501,f481(x82502,x82501,x82503,x82504)))
% 182.20/182.07 [8357]~P24(x83572,x83571,x83574,x83573)+P24(x83571,x83572,f72(x83572,x83571,x83573,x83574),f318(f301(x83572,x83571,x83574),x83573))
% 182.20/182.07 [8498]P36(f904(x84982,x84984),f271(x84982,x84984,x84981,x84983))+P1(f318(x84981,f493(x84982,x84983,x84984,x84981)))
% 182.20/182.07 [8613]E(x86131,x86132)+~P1(f318(f318(f320(f904(x86133,x86133)),f318(f318(f243(x86133,x86133),x86131),x86132)),f254(x86133,x86134)))
% 182.20/182.07 [8677]~P1(f318(f28(f903(x86773,x86771)),f304(x86773,x86771,x86774,x86772)))+P1(f318(f28(x86771),x86772))
% 182.20/182.07 [8678]~P1(f318(f28(f903(x86781,x86783)),f304(x86781,x86783,x86782,x86784)))+P1(f318(f28(x86781),x86782))
% 182.20/182.07 [8687]~P24(x86871,x86872,x86873,x86874)+P25(x86871,x86872,x86873,x86874,f318(f301(x86871,x86872,x86873),x86874))
% 182.20/182.07 [8688]P11(x86881,x86882,x86883,x86884)+~E(f318(x86884,f825(x86882,x86884,x86883,x86881)),f318(x86884,f826(x86882,x86884,x86883,x86881)))
% 182.20/182.07 [8778]~P25(x87782,x87783,x87784,x87781,f179(f905(x87783,a894)))+E(x87781,f179(f905(x87782,a894)))
% 182.20/182.07 [8779]~P25(x87793,x87792,x87794,f179(f905(x87793,a894)),x87791)+E(x87791,f179(f905(x87792,a894)))
% 182.20/182.07 [8871]P36(f904(x88711,x88712),f271(x88711,x88712,x88713,x88714))+~P36(x88712,f318(x88714,f493(x88711,x88714,x88712,x88713)))
% 182.20/182.07 [9441]E(f318(f318(f150(x94411,x94412),f648(x94413,x94414,x94412,x94411)),f649(x94413,x94414,x94412,x94411)),x94414)+~P1(f318(f318(f320(f904(f899(x94411),f899(x94411))),f318(f318(f243(f899(x94411),f899(x94411)),x94412),x94414)),f148(x94411,x94413)))
% 182.20/182.07 [9446]~P1(f318(f318(f320(f904(f899(x94461),f899(x94461))),f318(f318(f243(f899(x94461),f899(x94461)),x94462),x94463)),f136(x94461,x94464)))+P1(f318(f318(f320(f904(f899(x94461),f899(x94461))),f318(f318(f243(f899(x94461),f899(x94461)),x94462),x94463)),f138(x94461,x94464)))
% 182.20/182.07 [9558]P1(f318(f28(x95581),x95582))+~P1(f318(f318(f320(f904(f905(x95581,a894),f905(x95581,a894))),f318(f318(f243(f905(x95581,a894),f905(x95581,a894)),x95583),x95582)),f309(x95581,x95584)))
% 182.20/182.07 [9559]P1(f318(f28(x95591),x95592))+~P1(f318(f318(f320(f904(f905(x95591,a894),f905(x95591,a894))),f318(f318(f243(f905(x95591,a894),f905(x95591,a894)),x95592),x95593)),f309(x95591,x95594)))
% 182.20/182.07 [9562]~E(x95621,f179(f905(x95622,a894)))+~P1(f318(f318(f320(f904(f905(x95622,a894),f905(x95622,a894))),f318(f318(f243(f905(x95622,a894),f905(x95622,a894)),x95623),x95621)),f309(x95622,x95624)))
% 182.20/182.07 [10203]P11(x102031,x102032,x102033,x102034)+~P1(f318(f318(f248(x102031,x102031,a894),f318(f318(f7(x102031,f905(x102031,x102032),f905(x102031,a894)),f318(f318(f8(f905(x102032,a894),f905(f905(x102031,x102032),f905(x102031,a894)),x102031),f8(x102032,a894,x102031)),f318(f318(f8(x102032,f905(x102032,a894),x102031),a315),x102034))),x102034)),f528(x102034,x102033,x102032,x102031)))
% 182.20/182.07 [5029]~E(x50292,f104(x50291))+E(f318(f318(f150(x50291,x50292),x50293),x50294),f104(x50291))
% 182.20/182.07 [5030]~E(x50304,f104(x50301))+E(f318(f318(f145(x50301,x50302),x50303),x50304),f104(x50302))
% 182.20/182.07 [5264]E(x52641,f104(x52642))+~E(f318(f318(f145(x52642,x52643),x52644),x52641),f104(x52643))
% 182.20/182.07 [5265]E(x52651,f104(x52652))+~E(f318(f318(f150(x52652,x52651),x52653),x52654),f104(x52652))
% 182.20/182.07 [5302]E(x53021,x53022)+~E(f318(f318(f125(x53023),x53024),x53021),f318(f318(f125(x53023),x53024),x53022))
% 182.20/182.07 [5303]E(x53031,x53032)+~E(f318(f318(f125(x53033),x53031),x53034),f318(f318(f125(x53033),x53032),x53034))
% 182.20/182.07 [5452]P1(f318(x54523,x54522))+E(f161(x54521,x54522,f318(f127(x54521,x54523),x54524)),f318(f127(x54521,x54523),x54524))
% 182.20/182.07 [5454]~P1(f318(x54542,x54543))+P32(x54541,x54542,f318(f318(f142(x54541),x54543),x54544))
% 182.20/182.07 [5464]E(x54641,x54642)+~E(f130(a898,f318(f293(a898,x54641),x54643)),f318(f318(f142(a898),x54642),x54644))
% 182.20/182.07 [5513]~P26(x55132,x55133)+P26(x55131,f318(f318(f68(x55132,x55131),x55133),x55134))
% 182.20/182.07 [5514]~P36(x55142,x55143)+P36(x55141,f318(f318(f279(x55142,x55141),x55143),x55144))
% 182.20/182.07 [5515]~P37(x55152,x55153)+P37(x55151,f318(f318(f279(x55152,x55151),x55153),x55154))
% 182.20/182.07 [5516]~P50(x55162,x55163)+P50(x55161,f318(f318(f279(x55162,x55161),x55163),x55164))
% 182.20/182.07 [5645]~P32(x56451,x56452,x56454)+P32(x56451,x56452,f318(f318(f142(x56451),x56453),x56454))
% 182.20/182.07 [5646]~P32(x56461,x56462,x56464)+P32(x56461,x56462,f318(f318(f125(x56461),x56463),x56464))
% 182.20/182.07 [5647]~P32(x56471,x56472,x56473)+P32(x56471,x56472,f318(f318(f125(x56471),x56473),x56474))
% 182.20/182.07 [5734]~E(x57341,f104(x57342))+~E(f318(f318(f125(x57342),x57343),f318(f318(f142(x57342),x57344),f104(x57342))),x57341)
% 182.20/182.07 [5759]~P30(x57593,x57591,f318(f318(f142(x57593),x57592),x57594))+P1(f318(x57591,x57592))
% 182.20/182.07 [5769]E(f105(x57691,x57692),x57693)+~E(f318(f318(f125(x57691),x57693),f318(f318(f142(x57691),x57694),f104(x57691))),x57692)
% 182.20/182.07 [5770]E(f135(x57701,x57702),x57703)+~E(f318(f318(f125(x57701),x57704),f318(f318(f142(x57701),x57703),f104(x57701))),x57702)
% 182.20/182.07 [5880]~E(f130(a898,f318(f293(a898,x58801),x58802)),f318(f318(f142(a898),x58803),x58804))+P1(f318(f318(f227(a898),x58801),x58802))
% 182.20/182.07 [5898]P30(x58981,x58982,x58983)+~P30(x58981,x58982,f318(f318(f142(x58981),x58984),x58983))
% 182.20/182.07 [5899]P30(x58991,x58992,x58993)+~P30(x58991,x58992,f318(f318(f125(x58991),x58994),x58993))
% 182.20/182.07 [5900]P30(x59001,x59002,x59003)+~P30(x59001,x59002,f318(f318(f125(x59001),x59003),x59004))
% 182.20/182.07 [6099]E(x60991,f318(f318(f125(x60992),f318(f159(x60992),x60993)),f318(f318(f142(x60992),x60994),f104(x60992))))+~E(f318(f159(x60992),x60991),f318(f318(f142(x60992),x60994),x60993))
% 182.20/182.07 [6280]~P108(x62801)+E(f318(f318(f92(f905(x62801,a894)),f318(f293(x62801,x62802),x62803)),f318(f293(x62801,x62803),x62804)),f179(f905(x62801,a894)))
% 182.20/182.07 [6291]E(f318(f318(f155(x62911),f160(x62911,x62912,x62913)),x62914),x62913)+~P1(f318(f318(f227(a898),x62914),x62912))
% 182.20/182.07 [6318]~P74(x63181)+E(f318(f156(x63181),f318(f318(f145(a1,x63181),x63182),f169(x63183,x63184))),f318(f318(f6(a1,x63181),x63182),f318(f163(a1),f169(x63183,x63184))))
% 182.20/182.07 [6319]~P74(x63191)+E(f318(f318(f6(a1,x63191),x63192),f318(f163(a1),f169(x63193,x63194))),f318(f156(x63191),f318(f318(f145(a1,x63191),x63192),f169(x63193,x63194))))
% 182.20/182.07 [6468]~E(x64682,f318(f318(f125(x64681),f318(f159(x64681),x64684)),f318(f318(f142(x64681),x64683),f104(x64681))))+E(f318(f159(x64681),x64682),f318(f318(f142(x64681),x64683),x64684))
% 182.20/182.07 [6484]~P19(x64842,x64843,x64844,x64841)+E(f318(x64841,f179(f905(x64842,a894))),f25(x64843))
% 182.20/182.07 [6512]~P108(x65121)+E(f318(f318(f92(f905(x65121,a894)),f297(x65121,x65122,x65123)),f318(f293(x65121,x65123),x65124)),f179(f905(x65121,a894)))
% 182.20/182.07 [6731]E(x67311,f179(f905(x67312,a894)))+~E(f304(x67313,x67312,x67314,x67311),f179(f905(f903(x67313,x67312),a894)))
% 182.20/182.07 [6732]E(x67321,f179(f905(x67322,a894)))+~E(f304(x67322,x67323,x67321,x67324),f179(f905(f903(x67322,x67323),a894)))
% 182.20/182.07 [6801]~P82(x68012)+E(f318(f180(f899(x68011)),f141(x68011,x68012,x68013,x68014)),f318(f180(f899(x68011)),x68014))
% 182.20/182.07 [6812]~P1(f318(f241(x68123,x68124,x68121),x68122))+P1(f318(f318(x68121,f492(x68122,x68121)),x68122))
% 182.20/182.07 [6858]~P1(f318(f28(x68582),x68584))+P1(f318(f28(x68581),f318(f301(x68582,x68581,x68583),x68584)))
% 182.20/182.07 [7092]~P24(x70922,x70921,x70923,x70924)+E(f318(f29(x70921),f318(f301(x70922,x70921,x70923),x70924)),f318(f29(x70922),x70924))
% 182.20/182.07 [7110]E(f318(f301(x71101,x71102,x71103),f318(f302(x71101,x71102,x71103),x71104)),x71104)+~E(f318(f301(x71101,x71102,x71103),f233(f905(x71101,a894))),f233(f905(x71102,a894)))
% 182.20/182.07 [7526]~P24(x75261,x75262,x75263,f233(f905(x75261,a894)))+E(f318(f302(x75261,x75262,x75263),f318(f301(x75261,x75262,x75263),x75264)),x75264)
% 182.20/182.07 [7809]E(x78091,x78092)+~P1(f318(f318(f320(x78093),x78091),f318(f163(x78093),f160(x78093,x78094,x78092))))
% 182.20/182.07 [7818]~E(x78181,f2(a898))+~P1(f318(f318(f320(x78182),x78183),f318(f163(x78182),f160(x78182,x78181,x78184))))
% 182.20/182.07 [7851]P1(f318(x78511,x78512))+~P1(f318(f318(f320(x78513),x78512),f318(f163(x78513),f168(x78513,x78511,x78514))))
% 182.20/182.07 [7961]~P1(f318(f318(f320(f899(x79611)),f318(f318(f142(x79611),x79612),x79614)),f152(x79611,x79613)))+P1(f318(f318(f320(x79611),x79612),x79613))
% 182.20/182.07 [8089]~P1(f318(f318(f320(x80891),x80892),f318(f163(x80891),f167(x80891,x80893,x80894))))+P1(f318(f318(f320(x80891),x80892),f318(f163(x80891),x80893)))
% 182.20/182.07 [8090]~P1(f318(f318(f320(x80901),x80902),f318(f163(x80901),f161(x80901,x80904,x80903))))+P1(f318(f318(f320(x80901),x80902),f318(f163(x80901),x80903)))
% 182.20/182.07 [8091]~P1(f318(f318(f320(x80911),x80912),f318(f163(x80911),f168(x80911,x80914,x80913))))+P1(f318(f318(f320(x80911),x80912),f318(f163(x80911),x80913)))
% 182.20/182.07 [8101]E(f318(f180(f899(x81011)),x81012),x81013)+~P1(f318(f318(f320(f899(x81011)),x81012),f318(f163(f899(x81011)),f50(x81011,x81013,x81014))))
% 182.20/182.07 [8196]P1(f318(x81963,x81962))+E(f318(f127(x81961,f318(f318(f8(a894,a894,x81961),a313),f318(a315,x81962))),f318(f127(x81961,x81963),x81964)),f318(f127(x81961,x81963),x81964))
% 182.20/182.07 [8308]E(f318(f318(f155(x83081),f168(x83081,x83082,x83083)),x83084),f318(f318(f155(x83081),x83083),x83084))+~P1(f318(f318(f227(a898),x83084),f318(f180(f899(x83081)),f168(x83081,x83082,x83083))))
% 182.20/182.07 [8395]~P74(x83951)+E(f318(f318(f6(a898,x83951),f318(f318(f8(a898,x83951,a898),x83952),a103)),f318(f293(a898,x83953),x83954)),f318(f318(f6(a898,x83951),x83952),f318(f293(a898,f318(a103,x83953)),f318(a103,x83954))))
% 182.20/182.07 [8405]~P74(x84051)+E(f318(f318(f6(a898,x84051),f318(f318(f8(a898,x84051,a898),x84052),a103)),f294(a898,x84053,x84054)),f318(f318(f6(a898,x84051),x84052),f294(a898,f318(a103,x84053),f318(a103,x84054))))
% 182.20/182.07 [8534]~P24(x85341,x85343,x85344,f233(f905(x85341,a894)))+P24(x85341,f905(x85342,x85343),f318(f318(f8(x85343,f905(x85342,x85343),x85341),f16(x85343,x85342)),x85344),f233(f905(x85341,a894)))
% 182.20/182.07 [8619]~P24(x86192,x86191,x86194,x86193)+E(f318(f301(x86191,x86192,f72(x86192,x86191,x86193,x86194)),f318(f301(x86192,x86191,x86194),x86193)),x86193)
% 182.20/182.07 [8679]~P1(f318(f318(f320(f904(x86791,x86791)),f318(f318(f243(x86791,x86791),x86792),x86794)),f254(x86791,x86793)))+P1(f318(f318(f320(x86791),x86792),x86793))
% 182.20/182.07 [8802]~P24(x88022,x88021,x88023,f233(f905(x88022,a894)))+E(f318(f301(x88021,x88022,f86(x88022,x88021,f233(f905(x88022,a894)),x88023)),f318(f301(x88022,x88021,x88023),x88024)),x88024)
% 182.20/182.07 [8877]~P25(x88771,x88772,x88773,x88774,f233(f905(x88772,a894)))+E(f318(f301(x88771,x88772,x88773),f233(f905(x88771,a894))),f233(f905(x88772,a894)))
% 182.20/182.07 [8910]~E(f318(f318(f6(x89101,a898),x89104),x89103),f318(a103,x89102))+P1(f318(f318(f320(x89101),f856(x89102,x89103,x89104,x89101)),x89103))
% 182.20/182.07 [8931]~E(f318(f318(f6(x89314,a898),x89311),x89313),f318(a103,x89312))+P1(f318(f318(f227(a898),f2(a898)),f318(x89311,f856(x89312,x89313,x89311,x89314))))
% 182.20/182.07 [8942]~P1(f318(f28(x89422),x89424))+P1(f318(f318(f226(a898),f318(f29(x89421),f318(f301(x89422,x89421,x89423),x89424))),f318(f29(x89422),x89424)))
% 182.20/182.07 [8943]E(f318(f318(f243(x89431,x89432),f620(x89433,x89434,x89432,x89431)),f621(x89433,x89434,x89432,x89431)),x89434)+~P1(f318(f318(f320(f904(x89431,x89432)),x89434),f318(f277(x89432,x89431),x89433)))
% 182.20/182.07 [8951]P24(x89511,x89512,x89513,x89514)+P1(f318(f318(f320(x89511),f479(x89514,x89513,x89512,x89511)),x89514))
% 182.20/182.07 [8952]P24(x89521,x89522,x89523,x89524)+P1(f318(f318(f320(x89521),f481(x89524,x89523,x89522,x89521)),x89524))
% 182.20/182.07 [9020]P11(x90201,x90202,x90203,x90204)+P1(f318(f318(f320(f904(x90201,x90201)),f528(x90204,x90203,x90202,x90201)),x90203))
% 182.20/182.07 [9078]P1(f318(x90781,x90782))+~P1(f318(x90781,f318(f318(f243(x90783,x90784),f454(x90784,x90783,x90781)),f455(x90784,x90783,x90781))))
% 182.20/182.07 [9095]E(f318(f180(f899(x90951)),x90952),f318(f180(f899(x90951)),x90953))+~P1(f318(f318(f320(f904(f899(x90951),f899(x90951))),f318(f318(f243(f899(x90951),f899(x90951)),x90952),x90953)),f136(x90951,x90954)))
% 182.20/182.07 [9096]E(f318(f180(f899(x90961)),x90962),f318(f180(f899(x90961)),x90963))+~P1(f318(f318(f320(f904(f899(x90961),f899(x90961))),f318(f318(f243(f899(x90961),f899(x90961)),x90962),x90963)),f148(x90961,x90964)))
% 182.20/182.07 [9099]E(f318(f180(f899(x90991)),x90992),f318(f180(f899(x90991)),x90993))+~P1(f318(f318(f320(f904(f899(x90991),f899(x90991))),f318(f318(f243(f899(x90991),f899(x90991)),x90992),x90993)),f149(x90991,x90994)))
% 182.20/182.07 [9168]P1(f318(f318(f226(a898),f146(x91681,x91682,x91683)),f146(x91681,x91684,x91683)))+P1(f318(f318(f320(x91681),f647(x91684,x91682,x91683,x91681)),f318(f163(x91681),x91683)))
% 182.20/182.07 [9171]E(f318(f180(f899(x91711)),x91712),f318(f180(f899(x91711)),x91713))+~P1(f318(f318(f320(f904(f899(x91711),f899(x91711))),f318(f318(f243(f899(x91711),f899(x91711)),x91712),x91713)),f298(f899(x91711),f148(x91711,x91714))))
% 182.20/182.07 [9290]P1(f318(f318(f278(a898),x92901),x92902))+P1(f318(f318(f226(f905(a898,a894)),f281(a898,f278(a898),x92901,x92902)),f281(a898,f278(a898),x92903,x92904)))
% 182.20/182.07 [9412]~P24(x94121,x94122,x94123,x94124)+~P1(f318(f318(f227(a898),f318(f29(x94122),f318(f301(x94121,x94122,x94123),x94124))),f318(f29(x94121),x94124)))
% 182.20/182.07 [9459]~P1(f318(f318(f320(f904(f899(x94591),f899(x94591))),f318(f318(f243(f899(x94591),f899(x94591)),x94592),x94593)),f148(x94591,x94594)))+P1(f318(f318(f320(f904(f899(x94591),f899(x94591))),f318(f318(f243(f899(x94591),f899(x94591)),x94592),x94593)),f149(x94591,f298(x94591,x94594))))
% 182.20/182.07 [9463]~P1(f318(f318(f320(f904(f899(x94631),f899(x94631))),f318(f318(f243(f899(x94631),f899(x94631)),x94632),x94633)),f149(x94631,x94634)))+P1(f318(f318(f320(f904(f899(x94631),f899(x94631))),f318(f318(f243(f899(x94631),f899(x94631)),x94632),x94633)),f298(f899(x94631),f148(x94631,x94634))))
% 182.20/182.07 [9479]P1(f318(f318(f320(f904(x94791,x94791)),f318(f318(f243(x94791,x94791),x94792),x94793)),f298(x94791,x94794)))+~P1(f318(f318(f320(f904(x94791,x94791)),f318(f318(f243(x94791,x94791),x94792),x94793)),f318(f318(f280(x94791,x94791,x94791),x94794),f298(x94791,x94794))))
% 182.20/182.07 [9553]P1(f318(f318(f278(a898),x95531),x95532))+~P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x95533,x95534)),f281(a898,f278(a898),x95531,x95532)))
% 182.20/182.07 [9675]E(f318(f318(f125(x96751),f664(x96752,x96753,x96754,x96751)),f318(f318(f142(x96751),f665(x96752,x96753,x96754,x96751)),f667(x96752,x96753,x96754,x96751))),x96754)+~P1(f318(f318(f320(f904(f899(x96751),f899(x96751))),f318(f318(f243(f899(x96751),f899(x96751)),x96754),x96753)),f148(x96751,x96752)))
% 182.20/182.07 [9676]E(f318(f318(f125(x96761),f664(x96762,x96763,x96764,x96761)),f318(f318(f142(x96761),f666(x96762,x96763,x96764,x96761)),f667(x96762,x96763,x96764,x96761))),x96763)+~P1(f318(f318(f320(f904(f899(x96761),f899(x96761))),f318(f318(f243(f899(x96761),f899(x96761)),x96764),x96763)),f148(x96761,x96762)))
% 182.20/182.07 [9754]P1(f318(f318(f320(f904(x97541,x97541)),f318(f318(f243(x97541,x97541),x97542),f573(x97543,x97544,x97542,x97541))),f298(x97541,x97543)))+~P1(f318(f318(f320(f904(x97541,x97541)),f318(f318(f243(x97541,x97541),x97542),x97544)),f318(f318(f280(x97541,x97541,x97541),x97543),f298(x97541,x97543))))
% 182.20/182.07 [9822]P1(f318(f318(f226(a898),f146(x98221,x98222,x98223)),f146(x98221,x98224,x98223)))+~P1(f318(f318(f227(a898),f318(x98222,f647(x98224,x98222,x98223,x98221))),f318(x98224,f647(x98224,x98222,x98223,x98221))))
% 182.20/182.07 [9893]P1(f318(f318(f320(f904(x98931,x98931)),f318(f318(f243(x98931,x98931),f572(x98932,x98933,x98934,x98931)),x98933)),f298(x98931,x98932)))+~P1(f318(f318(f320(f904(x98931,x98931)),f318(f318(f243(x98931,x98931),x98934),x98933)),f318(f318(f280(x98931,x98931,x98931),x98932),f298(x98931,x98932))))
% 182.20/182.07 [5283]~E(x52832,x52833)+E(f161(x52831,x52832,f318(f318(f142(x52831),x52833),x52834)),x52834)
% 182.20/182.07 [5408]P1(f318(x54082,x54083))+E(f168(x54081,x54082,f318(f318(f142(x54081),x54083),x54084)),f104(x54081))
% 182.20/182.07 [5476]~P91(x54762)+E(f318(f318(f74(f905(x54761,x54762)),x54763),x54764),f318(f74(x54762),f318(x54763,x54764)))
% 182.20/182.07 [5489]~E(x54892,f2(a898))+E(f318(f318(f129(x54891),x54892),f318(f318(f142(x54891),x54893),x54894)),f318(f318(f142(x54891),x54893),x54894))
% 182.20/182.07 [5490]P1(f318(x54902,x54903))+E(f318(f127(x54901,x54902),f318(f318(f142(x54901),x54903),x54904)),f318(f127(x54901,x54902),x54904))
% 182.20/182.07 [5628]~E(x56282,x56284)+P1(f318(f318(f318(f300(x56281),x56282),x56283),x56284))
% 182.20/182.07 [5636]E(x56361,f104(x56362))+E(f135(x56363,f318(f318(f145(x56362,x56363),x56364),x56361)),f318(x56364,f135(x56362,x56361)))
% 182.20/182.07 [5650]~E(x56501,f57(x56502,x56504))+E(f318(x56501,f318(f318(f300(x56502),x56503),f179(f905(x56502,a894)))),x56503)
% 182.20/182.07 [5686]E(x56861,f104(x56862))+E(f318(f132(x56863),f318(f318(f145(x56862,x56863),x56864),x56861)),f318(x56864,f318(f132(x56862),x56861)))
% 182.20/182.07 [5789]~P1(f318(x57893,x57894))+P1(f318(f318(f318(f300(x57891),x57892),x57893),x57894))
% 182.20/182.07 [5917]~P18(x59172,x59174,x59171)+E(f318(x59171,f318(f318(f300(x59172),x59173),f179(f905(x59172,a894)))),x59173)
% 182.20/182.07 [5943]~E(x59432,x59433)+P1(f318(f318(f320(x59431),x59432),f318(f318(f300(x59431),x59433),x59434)))
% 182.20/182.07 [5948]~P83(x59481)+E(f318(f318(f92(x59481),x59482),f318(f318(f92(x59481),x59483),x59484)),f318(f318(f92(x59481),x59483),f318(f318(f92(x59481),x59482),x59484)))
% 182.20/182.07 [5950]~P102(x59501)+E(f318(f318(f92(x59501),x59502),f318(f318(f92(x59501),x59503),x59504)),f318(f318(f92(x59501),x59503),f318(f318(f92(x59501),x59502),x59504)))
% 182.20/182.07 [5951]~P111(x59511)+E(f318(f318(f75(x59511),x59512),f318(f318(f75(x59511),x59513),x59514)),f318(f318(f75(x59511),x59513),f318(f318(f75(x59511),x59512),x59514)))
% 182.20/182.07 [5952]~P83(x59521)+E(f318(f318(f101(x59521),x59522),f318(f318(f101(x59521),x59523),x59524)),f318(f318(f101(x59521),x59523),f318(f318(f101(x59521),x59522),x59524)))
% 182.20/182.07 [5954]~P104(x59541)+E(f318(f318(f101(x59541),x59542),f318(f318(f101(x59541),x59543),x59544)),f318(f318(f101(x59541),x59543),f318(f318(f101(x59541),x59542),x59544)))
% 182.20/182.07 [5955]~P111(x59551)+E(f318(f318(f76(x59551),x59552),f318(f318(f76(x59551),x59553),x59554)),f318(f318(f76(x59551),x59553),f318(f318(f76(x59551),x59552),x59554)))
% 182.20/182.07 [5957]~P82(x59571)+E(f318(f318(f224(x59571),x59572),f318(f318(f224(x59571),x59573),x59574)),f318(f318(f224(x59571),x59573),f318(f318(f224(x59571),x59572),x59574)))
% 182.20/182.07 [5959]~P82(x59591)+E(f318(f318(f225(x59591),x59592),f318(f318(f225(x59591),x59593),x59594)),f318(f318(f225(x59591),x59593),f318(f318(f225(x59591),x59592),x59594)))
% 182.20/182.07 [5966]E(x59661,x59662)+E(f161(x59663,x59661,f318(f318(f142(x59663),x59662),x59664)),f318(f318(f142(x59663),x59662),f161(x59663,x59661,x59664)))
% 182.20/182.07 [5981]~P1(f318(x59812,x59813))+E(f318(f127(x59811,x59812),f318(f318(f142(x59811),x59813),x59814)),f318(f318(f142(x59811),x59813),f318(f127(x59811,x59812),x59814)))
% 182.20/182.07 [6121]~P1(f318(x61212,x61213))+E(f168(x61211,x61212,f318(f318(f142(x61211),x61213),x61214)),f318(f318(f142(x61211),x61213),f168(x61211,x61212,x61214)))
% 182.20/182.07 [6185]E(x61851,f179(f905(x61852,a894)))+E(f318(f318(f34(x61852,f905(x61853,a894)),x61851),f318(f16(f905(x61853,a894),x61852),x61854)),x61854)
% 182.20/182.07 [6186]E(x61861,f179(f905(x61862,a894)))+E(f318(f318(f35(x61862,f905(x61863,a894)),x61861),f318(f16(f905(x61863,a894),x61862),x61864)),x61864)
% 182.20/182.07 [6195]~E(x61954,f179(f905(x61952,a894)))+E(f318(f318(f245(x61951,x61952),x61953),f318(f16(f905(x61952,a894),x61951),x61954)),f179(f905(f904(x61951,x61952),a894)))
% 182.20/182.07 [6196]~E(x61963,f179(f905(x61961,a894)))+E(f318(f318(f245(x61961,x61962),x61963),f318(f16(f905(x61962,a894),x61961),x61964)),f179(f905(f904(x61961,x61962),a894)))
% 182.20/182.07 [6252]E(x62521,f2(a898))+E(f318(f318(f129(x62522),x62521),f318(f318(f142(x62522),x62523),x62524)),f318(f318(f129(x62522),f318(f318(f23(a898),x62521),f73(a898))),x62524))
% 182.20/182.07 [6273]E(x62731,f179(f905(x62732,a894)))+E(f318(f301(x62732,x62733,f318(f16(x62733,x62732),x62734)),x62731),f318(f318(f300(x62733),x62734),f179(f905(x62733,a894))))
% 182.20/182.07 [6276]E(f318(f302(x62761,x62762,f318(f16(x62762,x62761),x62763)),x62764),f179(f905(x62761,a894)))+P1(f318(f318(f320(x62762),x62763),x62764))
% 182.20/182.07 [6344]~E(x63443,f179(f905(x63441,a894)))+E(f318(f318(f34(x63441,f905(x63442,a894)),x63443),f318(f16(f905(x63442,a894),x63441),x63444)),f179(f905(x63442,a894)))
% 182.20/182.07 [6345]~E(x63453,f179(f905(x63451,a894)))+E(f318(f318(f35(x63451,f905(x63452,a894)),x63453),f318(f16(f905(x63452,a894),x63451),x63454)),f233(f905(x63452,a894)))
% 182.20/182.07 [6347]~P3(x63471)+E(f40(x63471,f318(f318(f76(x63471),x63472),x63473),f318(f318(f76(x63471),x63472),x63474)),f318(f318(f76(x63471),x63472),f40(x63471,x63473,x63474)))
% 182.20/182.07 [6522]E(f318(f302(x65221,x65222,f318(f16(x65222,x65221),x65223)),x65224),f233(f905(x65221,a894)))+~P1(f318(f318(f320(x65222),x65223),x65224))
% 182.20/182.07 [6545]~P1(f318(f318(f320(x65451),x65452),x65454))+P1(f318(f318(f320(x65451),x65452),f318(f318(f300(x65451),x65453),x65454)))
% 182.20/182.07 [6550]P1(f318(x65501,x65502))+~P1(f318(f151(x65503,x65501),f318(f318(f142(x65503),x65502),x65504)))
% 182.20/182.07 [6559]~E(x65593,f318(f318(f23(a898),f318(f180(f899(x65591)),x65592)),f73(a898)))+E(f105(x65591,f318(f318(f150(x65591,x65592),x65593),x65594)),f105(x65591,x65592))
% 182.20/182.07 [6582]~P82(x65821)+E(f318(f318(f92(f905(x65821,a894)),f318(f292(x65821),x65822)),f294(x65821,x65823,x65824)),f294(x65821,x65823,f318(f318(f224(x65821),x65822),x65824)))
% 182.20/182.07 [6583]~P82(x65831)+E(f318(f318(f92(f905(x65831,a894)),f318(f274(x65831),x65832)),f294(x65831,x65833,x65834)),f294(x65831,f318(f318(f225(x65831),x65832),x65833),x65834))
% 182.20/182.07 [6599]E(f318(f318(f92(f905(x65991,a894)),x65992),f318(f318(f300(x65991),x65993),x65994)),f318(f318(f92(f905(x65991,a894)),x65992),x65994))+P1(f318(f318(f320(x65991),x65993),x65992))
% 182.20/182.07 [6611]E(f161(x66111,x66112,f318(f318(f125(x66111),x66113),x66114)),f318(f318(f125(x66111),x66113),f161(x66111,x66112,x66114)))+P1(f318(f318(f320(x66111),x66112),f318(f163(x66111),x66113)))
% 182.20/182.07 [6616]~P80(x66161)+E(f318(f318(f76(x66161),f318(f318(f235(x66161),x66162),x66163)),f318(f318(f235(x66161),x66162),x66164)),f318(f318(f235(x66161),x66162),f318(f318(f75(a898),x66163),x66164)))
% 182.20/182.07 [6617]~P111(x66171)+E(f318(f318(f76(x66171),f318(f318(f235(x66171),x66172),x66173)),f318(f318(f235(x66171),x66172),x66174)),f318(f318(f235(x66171),x66172),f318(f318(f75(a898),x66173),x66174)))
% 182.20/182.07 [6654]~P100(x66541)+E(f318(f318(f101(x66541),f318(f318(f92(x66541),x66542),x66543)),f318(f318(f92(x66541),x66542),x66544)),f318(f318(f92(x66541),x66542),f318(f318(f101(x66541),x66543),x66544)))
% 182.20/182.07 [6655]~P100(x66551)+E(f318(f318(f92(x66551),f318(f318(f101(x66551),x66552),x66553)),f318(f318(f101(x66551),x66552),x66554)),f318(f318(f101(x66551),x66552),f318(f318(f92(x66551),x66553),x66554)))
% 182.20/182.07 [6656]~P111(x66561)+E(f318(f318(f75(x66561),f318(f318(f76(x66561),x66562),x66563)),f318(f318(f76(x66561),x66562),x66564)),f318(f318(f76(x66561),x66562),f318(f318(f75(x66561),x66563),x66564)))
% 182.20/182.07 [6657]~P82(x66571)+E(f318(f318(f225(x66571),f318(f318(f224(x66571),x66572),x66573)),f318(f318(f224(x66571),x66572),x66574)),f318(f318(f224(x66571),x66572),f318(f318(f225(x66571),x66573),x66574)))
% 182.20/182.07 [6658]~P82(x66581)+E(f318(f318(f224(x66581),f318(f318(f225(x66581),x66582),x66583)),f318(f318(f225(x66581),x66582),x66584)),f318(f318(f225(x66581),x66582),f318(f318(f224(x66581),x66583),x66584)))
% 182.20/182.07 [6692]~P3(x66921)+E(f40(x66921,f318(f318(f76(x66921),x66922),x66923),f318(f318(f76(x66921),x66924),x66923)),f318(f318(f76(x66921),f40(x66921,x66922,x66924)),x66923))
% 182.20/182.07 [6695]~E(f318(f180(f899(x66951)),x66953),f318(f180(f899(x66952)),x66954))+E(f318(f318(f145(f904(x66951,x66952),x66952),f247(x66951,x66952)),f318(f318(f172(x66951,x66952),x66953),x66954)),x66954)
% 182.20/182.07 [6696]~E(f318(f180(f899(x66961)),x66963),f318(f180(f899(x66962)),x66964))+E(f318(f318(f145(f904(x66961,x66962),x66961),f242(x66961,x66962)),f318(f318(f172(x66961,x66962),x66963),x66964)),x66963)
% 182.20/182.07 [6701]P1(f318(f151(x67011,x67012),x67013))+~P1(f318(f151(x67011,x67012),f318(f318(f142(x67011),x67014),x67013)))
% 182.20/182.07 [6702]P1(f318(f151(x67021,x67022),x67023))+~P1(f318(f151(x67021,x67022),f318(f318(f125(x67021),x67024),x67023)))
% 182.20/182.07 [6703]P1(f318(f151(x67031,x67032),x67033))+~P1(f318(f151(x67031,x67032),f318(f318(f125(x67031),x67033),x67034)))
% 182.20/182.07 [6708]~P4(x67081)+E(f40(x67081,f318(f318(f23(x67081),x67082),f40(x67081,x67083,x67084)),x67084),f40(x67081,f318(f318(f23(x67081),x67082),x67083),x67084))
% 182.20/182.07 [6710]~P3(x67101)+E(f40(x67101,f318(f318(f76(x67101),x67102),f40(x67101,x67103,x67104)),x67104),f40(x67101,f318(f318(f76(x67101),x67102),x67103),x67104))
% 182.20/182.07 [6711]~P3(x67111)+E(f40(x67111,f318(f318(f75(x67111),x67112),f40(x67111,x67113,x67114)),x67114),f40(x67111,f318(f318(f75(x67111),x67112),x67113),x67114))
% 182.20/182.07 [6793]~P82(x67931)+E(f318(f318(f92(f905(x67931,a894)),f294(x67931,x67932,x67933)),f318(f292(x67931),x67934)),f294(x67931,x67932,f318(f318(f224(x67931),x67933),x67934)))
% 182.20/182.07 [6794]~P82(x67941)+E(f318(f318(f92(f905(x67941,a894)),f294(x67941,x67942,x67943)),f318(f274(x67941),x67944)),f294(x67941,f318(f318(f225(x67941),x67942),x67944),x67943))
% 182.20/182.07 [6797]~E(f318(f180(f899(x67971)),x67973),f318(f180(f899(x67972)),x67974))+E(f318(f318(f172(x67971,x67972),f318(f159(x67971),x67973)),f318(f159(x67972),x67974)),f318(f159(f904(x67971,x67972)),f318(f318(f172(x67971,x67972),x67973),x67974)))
% 182.20/182.07 [6809]E(x68091,f318(f318(f23(a898),f318(f180(f899(x68092)),x68093)),f73(a898)))+E(f105(x68092,f318(f318(f150(x68092,x68093),x68091),x68094)),f318(f318(f150(x68092,f105(x68092,x68093)),x68091),x68094))
% 182.20/182.07 [6824]~P1(f318(f128(x68242),x68244))+P1(f318(f128(f904(x68241,x68242)),f318(f318(f172(x68241,x68242),x68243),x68244)))
% 182.20/182.07 [6825]~P1(f318(f128(x68251),x68253))+P1(f318(f128(f904(x68251,x68252)),f318(f318(f172(x68251,x68252),x68253),x68254)))
% 182.20/182.07 [7095]E(f318(f318(f30(a898),x70951),x70952),x70953)+~P1(f318(f43(x70951,x70952),f318(f318(f243(a898,a898),x70953),x70954)))
% 182.20/182.07 [7119]E(f40(a898,x71191,x71192),x71193)+~P1(f318(f43(x71191,x71192),f318(f318(f243(a898,a898),x71194),x71193)))
% 182.20/182.07 [7122]P1(f318(f128(x71221),x71222))+~P1(f318(f128(x71223),f318(f318(f145(x71221,x71223),x71224),x71222)))
% 182.20/182.07 [7205]E(f161(x72051,x72052,f318(f318(f125(x72051),x72053),x72054)),f318(f318(f125(x72051),f161(x72051,x72052,x72053)),x72054))+~P1(f318(f318(f320(x72051),x72052),f318(f163(x72051),x72053)))
% 182.20/182.07 [7298]~P4(x72981)+E(f40(x72981,f318(f318(f23(x72981),f40(x72981,x72982,x72983)),x72984),x72983),f40(x72981,f318(f318(f23(x72981),x72982),x72984),x72983))
% 182.20/182.07 [7301]~P3(x73011)+E(f40(x73011,f318(f318(f75(x73011),f40(x73011,x73012,x73013)),x73014),x73013),f40(x73011,f318(f318(f75(x73011),x73012),x73014),x73013))
% 182.20/182.07 [7302]~P3(x73021)+E(f40(x73021,f318(f318(f76(x73021),f40(x73021,x73022,x73023)),x73024),x73023),f40(x73021,f318(f318(f76(x73021),x73022),x73024),x73023))
% 182.20/182.07 [7496]~E(x74961,f318(f318(f142(x74962),x74963),x74964))+~P1(f318(f318(f226(a898),f318(f180(f899(x74962)),x74961)),f318(f180(f899(x74962)),x74964)))
% 182.20/182.07 [7699]P24(x76991,x76992,x76993,f318(f163(x76991),x76994))+~P1(f318(f128(x76992),f318(f318(f145(x76991,x76992),x76993),x76994)))
% 182.20/182.07 [7774]~P1(f318(f318(f226(f905(x77741,a894)),x77742),x77744))+P1(f318(f318(f226(f905(x77741,a894)),x77742),f318(f318(f300(x77741),x77743),x77744)))
% 182.20/182.07 [7810]~P4(x78101)+E(f40(x78101,f318(f318(f23(x78101),f40(x78101,x78102,x78103)),f40(x78101,x78104,x78103)),x78103),f40(x78101,f318(f318(f23(x78101),x78102),x78104),x78103))
% 182.20/182.07 [7811]~P3(x78111)+E(f40(x78111,f318(f318(f75(x78111),f40(x78111,x78112,x78113)),f40(x78111,x78114,x78113)),x78113),f40(x78111,f318(f318(f75(x78111),x78112),x78114),x78113))
% 182.20/182.07 [7812]~P3(x78121)+E(f40(x78121,f318(f318(f76(x78121),f40(x78121,x78122,x78123)),f40(x78121,x78124,x78123)),x78123),f40(x78121,f318(f318(f76(x78121),x78122),x78124),x78123))
% 182.20/182.07 [7916]~E(f318(x79164,f405(x79164,x79163,x79161,x79162)),f179(f905(x79162,a894)))+E(f318(f318(f34(x79161,f905(x79162,a894)),x79163),x79164),f179(f905(x79162,a894)))
% 182.20/182.07 [7917]~E(f318(x79174,f585(x79174,x79173,x79171,x79172)),f233(f905(x79172,a894)))+E(f318(f318(f35(x79171,f905(x79172,a894)),x79173),x79174),f233(f905(x79172,a894)))
% 182.20/182.07 [7918]~E(f318(x79184,f414(x79184,x79183,x79182,x79181)),f179(f905(x79182,a894)))+E(f318(f318(f34(x79181,f905(x79182,a894)),x79183),x79184),f179(f905(x79182,a894)))
% 182.20/182.07 [7919]~E(f318(x79194,f586(x79194,x79193,x79192,x79191)),f233(f905(x79192,a894)))+E(f318(f318(f35(x79191,f905(x79192,a894)),x79193),x79194),f233(f905(x79192,a894)))
% 182.20/182.07 [8309]P1(f318(x83091,x83092))+~P1(f318(f318(f320(x83093),x83092),f318(f318(f92(f905(x83093,a894)),x83094),f318(f253(x83093),x83091))))
% 182.20/182.07 [8346]~P1(f318(f318(f226(f905(x83461,a894)),x83463),x83464))+P1(f318(f318(f226(f905(x83461,a894)),f318(f318(f300(x83461),x83462),x83463)),f318(f318(f300(x83461),x83462),x83464)))
% 182.20/182.07 [8527]P1(f318(x85272,x85273))+E(f318(f318(f129(x85271),f318(f180(f899(x85271)),f168(x85271,x85272,f318(f318(f142(x85271),x85273),x85274)))),f318(f318(f142(x85271),x85273),x85274)),f318(f318(f142(x85271),x85273),x85274))
% 182.20/182.07 [8633]~P1(f318(f318(f227(a898),f318(x86334,x86332)),f318(x86334,x86333)))+P1(f318(f318(f320(f904(x86331,x86331)),f318(f318(f243(x86331,x86331),x86332),x86333)),f318(f318(f279(a898,x86331),a231),x86334)))
% 182.20/182.07 [8729]~P1(f318(x87292,f720(x87294,x87292,x87293,x87291)))+E(f168(x87291,x87292,f318(f318(f125(x87291),x87293),x87294)),f318(f318(f125(x87291),x87293),f168(x87291,x87292,x87294)))
% 182.20/182.07 [8806]P24(f899(x88061),f899(x88062),f318(f145(x88061,x88062),x88063),x88064)+~P24(x88061,x88062,x88063,f31(f905(x88061,a894),f318(f301(f899(x88061),f905(x88061,a894),f163(x88061)),x88064)))
% 182.20/182.07 [8881]~P1(f318(x88812,x88813))+E(f318(f318(f129(x88811),f318(f180(f899(x88811)),f168(x88811,x88812,f318(f318(f142(x88811),x88813),x88814)))),f318(f318(f142(x88811),x88813),x88814)),f318(f318(f129(x88811),f318(f180(f899(x88811)),f168(x88811,x88812,x88814))),x88814))
% 182.20/182.07 [8922]~E(x89222,x89223)+E(f318(f127(x89221,f318(f318(f8(a894,a894,x89221),a313),f318(a315,x89222))),f318(f318(f142(x89221),x89223),x89224)),f318(f127(x89221,f318(f318(f8(a894,a894,x89221),a313),f318(a315,x89222))),x89224))
% 182.20/182.07 [8932]E(f318(f318(f34(x89321,f905(x89322,a894)),x89323),x89324),f179(f905(x89322,a894)))+P1(f318(f318(f320(x89321),f405(x89324,x89323,x89321,x89322)),x89323))
% 182.20/182.07 [8933]E(f318(f318(f35(x89331,f905(x89332,a894)),x89333),x89334),f233(f905(x89332,a894)))+P1(f318(f318(f320(x89331),f585(x89334,x89333,x89331,x89332)),x89333))
% 182.20/182.07 [8934]E(f318(f318(f34(x89341,f905(x89342,a894)),x89343),x89344),f179(f905(x89342,a894)))+P1(f318(f318(f320(x89341),f414(x89344,x89343,x89342,x89341)),x89343))
% 182.20/182.07 [8935]E(f318(f318(f35(x89351,f905(x89352,a894)),x89353),x89354),f233(f905(x89352,a894)))+P1(f318(f318(f320(x89351),f586(x89354,x89353,x89352,x89351)),x89353))
% 182.20/182.07 [8973]P1(f318(f318(f227(a898),f318(x89731,x89732)),f318(x89731,x89733)))+~P1(f318(f318(f320(f904(x89734,x89734)),f318(f318(f243(x89734,x89734),x89732),x89733)),f318(f318(f279(a898,x89734),a231),x89731)))
% 182.20/182.07 [8999]E(f168(x89991,x89992,f318(f318(f125(x89991),x89993),x89994)),f318(f318(f125(x89991),x89993),f168(x89991,x89992,x89994)))+P1(f318(f318(f320(x89991),f720(x89994,x89992,x89993,x89991)),f318(f163(x89991),x89993)))
% 182.20/182.07 [9054]~P25(x90541,x90542,x90543,f233(f905(x90541,a894)),f233(f905(x90542,a894)))+E(f318(f301(x90541,x90542,x90543),f318(f74(f905(x90541,a894)),x90544)),f318(f74(f905(x90542,a894)),f318(f301(x90541,x90542,x90543),x90544)))
% 182.20/182.07 [9157]P1(f318(f318(f320(x91571),f468(x91572,x91573,x91574,x91571)),x91573))+~P1(f318(f318(f320(f905(x91571,a894)),x91574),f318(f318(f55(x91571),x91573),x91572)))
% 182.20/182.07 [9160]E(x91601,x91602)+~P1(f318(f318(f320(f904(x91603,x91603)),f318(f318(f243(x91603,x91603),x91601),x91602)),f318(f318(f174(f904(x91603,x91603),a894),f2(a898)),x91604)))
% 182.20/182.07 [9242]E(f318(f276(x92421,x92421,x92422),f318(f318(f300(x92421),f468(x92422,x92423,x92424,x92421)),f179(f905(x92421,a894)))),x92424)+~P1(f318(f318(f320(f905(x92421,a894)),x92424),f318(f318(f55(x92421),x92423),x92422)))
% 182.20/182.07 [9247]~P1(f318(f318(f320(f904(x92471,x92471)),f318(f318(f243(x92471,x92471),x92473),x92472)),f298(x92471,x92474)))+P1(f318(f318(f320(f904(x92471,x92471)),f318(f318(f243(x92471,x92471),x92472),x92473)),f298(x92471,f318(f277(x92471,x92471),x92474))))
% 182.20/182.07 [9260]~P3(x92601)+E(f318(f318(f75(x92601),f318(f318(f75(x92601),f318(f318(f76(x92601),x92602),f318(f318(f30(x92601),x92603),x92602))),f40(x92601,x92603,x92602))),x92604),f318(f318(f75(x92601),x92603),x92604))
% 182.20/182.07 [9271]~P1(f318(f318(f320(x92711),x92713),x92714))+P1(f318(f318(f320(f905(x92711,a894)),f318(f276(x92711,x92711,x92712),f318(f318(f300(x92711),x92713),f179(f905(x92711,a894))))),f318(f318(f55(x92711),x92714),x92712)))
% 182.20/182.07 [9283]P1(f318(f318(f320(f904(x92831,x92831)),f318(f318(f243(x92831,x92831),x92832),x92833)),f298(x92831,x92834)))+~P1(f318(f318(f320(f904(x92831,x92831)),f318(f318(f243(x92831,x92831),x92833),x92832)),f298(x92831,f318(f277(x92831,x92831),x92834))))
% 182.20/182.07 [9371]E(f318(f318(f150(x93711,f318(f159(x93711),x93712)),f318(f318(f23(a898),f318(f318(f23(a898),f318(f180(f899(x93711)),x93712)),x93713)),f73(a898))),x93714),f318(f159(x93711),f318(f318(f150(x93711,x93712),x93713),x93714)))+~P1(f318(f318(f227(a898),x93713),f318(f180(f899(x93711)),x93712)))
% 182.20/182.07 [9374]~P1(f318(x93742,f715(x93744,x93742,x93743,x93741)))+E(f318(f318(f129(x93741),f318(f180(f899(x93741)),f168(x93741,x93742,f318(f318(f125(x93741),x93743),x93744)))),f318(f318(f125(x93741),x93743),x93744)),f318(f318(f129(x93741),f318(f180(f899(x93741)),f168(x93741,x93742,x93744))),x93744))
% 182.20/182.07 [9420]~P24(x94202,x94201,x94203,f233(f905(x94202,a894)))+P1(f318(f318(f226(f905(x94201,a894)),f318(f301(x94202,x94201,x94203),f318(f74(f905(x94202,a894)),x94204))),f318(f74(f905(x94201,a894)),f318(f301(x94202,x94201,x94203),x94204))))
% 182.20/182.07 [9432]~P5(x94321)+E(f318(f133(x94321,x94322,f318(f7(x94322,x94321,x94321),f318(f318(f8(x94321,f905(x94321,x94321),x94322),f101(x94321)),x94323)),f179(x94321)),x94324),f318(f318(f34(x94322,x94321),f318(f163(x94322),x94324)),x94323))
% 182.20/182.07 [9433]~P5(x94331)+E(f318(f133(x94331,x94332,f318(f7(x94332,x94331,x94331),f318(f318(f8(x94331,f905(x94331,x94331),x94332),f92(x94331)),x94333)),f233(x94331)),x94334),f318(f318(f35(x94332,x94331),f318(f163(x94332),x94334)),x94333))
% 182.20/182.07 [9443]E(f318(f318(f129(x94431),f318(f180(f899(x94431)),f168(x94431,x94432,f318(f318(f125(x94431),x94433),x94434)))),f318(f318(f125(x94431),x94433),x94434)),f318(f318(f129(x94431),f318(f180(f899(x94431)),f168(x94431,x94432,x94434))),x94434))+P1(f318(f318(f320(x94431),f715(x94434,x94432,x94433,x94431)),f318(f163(x94431),x94433)))
% 182.20/182.07 [9513]~P1(f318(f318(f320(f904(f899(x95134),f899(x95134))),f318(f318(f243(f899(x95134),f899(x95134)),x95133),x95132)),f148(x95134,x95131)))+P1(f318(f318(f227(a898),f648(x95131,x95132,x95133,x95134)),f318(f180(f899(x95134)),x95133)))
% 182.20/182.07 [9514]~P3(x95141)+E(f318(f318(f75(x95141),f318(f318(f75(x95141),f318(f318(f76(x95141),f318(f318(f30(x95141),x95142),x95143)),x95143)),f40(x95141,x95142,x95143))),x95144),f318(f318(f75(x95141),x95142),x95144))
% 182.20/182.07 [9543]~P1(f318(f318(f320(f904(f899(x95431),f899(x95431))),f318(f318(f243(f899(x95431),f899(x95431)),x95432),x95433)),f318(f277(f899(x95431),f899(x95431)),f148(x95431,x95434))))+P1(f318(f318(f320(f904(f899(x95431),f899(x95431))),f318(f318(f243(f899(x95431),f899(x95431)),x95432),x95433)),f148(x95431,f318(f277(x95431,x95431),x95434))))
% 182.20/182.07 [9544]P1(f318(f318(f320(f904(f899(x95441),f899(x95441))),f318(f318(f243(f899(x95441),f899(x95441)),x95442),x95443)),f318(f277(f899(x95441),f899(x95441)),f148(x95441,x95444))))+~P1(f318(f318(f320(f904(f899(x95441),f899(x95441))),f318(f318(f243(f899(x95441),f899(x95441)),x95442),x95443)),f148(x95441,f318(f277(x95441,x95441),x95444))))
% 182.20/182.07 [9588]~P1(f318(f318(f320(x95881),x95883),f318(f255(x95881,x95882),x95884)))+P1(f318(f318(f320(f904(x95881,x95882)),f318(f318(f243(x95881,x95882),x95883),f501(x95884,x95882,x95883,x95881))),x95884))
% 182.20/182.07 [9589]~P1(f318(f318(f320(x95891),x95893),f318(f255(x95891,x95892),x95894)))+P1(f318(f318(f320(f904(x95891,x95892)),f318(f318(f243(x95891,x95892),x95893),f502(x95894,x95892,x95893,x95891))),x95894))
% 182.20/182.07 [9749]~P1(f318(f318(f320(f904(x97491,x97491)),f318(f318(f243(x97491,x97491),x97492),x97494)),f318(f318(f280(x97491,x97491,x97491),x97493),f298(x97491,x97493))))+P1(f318(f318(f320(f904(x97491,x97491)),f318(f318(f243(x97491,x97491),x97492),f572(x97493,x97494,x97492,x97491))),x97493))
% 182.20/182.07 [9907]P11(x99071,x99072,x99073,x99074)+P1(f318(f318(f320(f904(x99071,x99071)),f318(f318(f243(x99071,x99071),f826(x99072,x99074,x99073,x99071)),f825(x99072,x99074,x99073,x99071))),x99073))
% 182.20/182.07 [9914]~P1(f318(f318(f320(f904(x99142,x99141)),x99144),f318(f277(x99141,x99142),x99143)))+P1(f318(f318(f320(f904(x99141,x99142)),f318(f318(f243(x99141,x99142),f621(x99143,x99144,x99141,x99142)),f620(x99143,x99144,x99141,x99142))),x99143))
% 182.20/182.07 [9938]~P1(f318(f318(f320(f904(f899(x99381),f899(x99381))),f318(f318(f243(f899(x99381),f899(x99381)),x99384),x99383)),f148(x99381,x99382)))+P1(f318(f318(f320(f904(x99381,x99381)),f318(f318(f243(x99381,x99381),f665(x99382,x99383,x99384,x99381)),f666(x99382,x99383,x99384,x99381))),x99382))
% 182.20/182.07 [10028]~P1(f318(f318(f320(f904(f899(x100281),f899(x100281))),f318(f318(f243(f899(x100281),f899(x100281)),x100282),x100284)),f148(x100281,x100283)))+P1(f318(f318(f320(f904(x100281,x100281)),f318(f318(f243(x100281,x100281),f318(f318(f155(x100281),x100282),f648(x100283,x100284,x100282,x100281))),f649(x100283,x100284,x100282,x100281))),x100283))
% 182.20/182.07 [10048]~P1(f318(f28(x100482),x100484))+E(f318(f318(f318(f59(f905(x100481,a894),x100482,f101(f905(x100481,a894))),f318(f318(f7(x100482,f905(x100481,a894),f905(x100481,a894)),f318(f318(f8(x100481,f905(f905(x100481,a894),f905(x100481,a894)),x100482),f300(x100481)),x100483)),f179(f905(x100481,a894)))),f179(f905(x100481,a894))),x100484),f318(f301(x100482,x100481,x100483),x100484))
% 182.20/182.07 [10158]~P24(x101581,x101582,x101583,f233(f905(x101581,a894)))+P1(f318(f318(f226(f905(x101581,a894)),f318(f302(x101581,x101582,x101583),f318(f318(f300(x101582),x101584),f179(f905(x101582,a894))))),f318(f318(f300(x101581),f80(x101581,f318(f318(f7(x101581,x101582,a894),f318(f318(f8(x101582,f905(x101582,a894),x101581),a315),x101583)),x101584))),f179(f905(x101581,a894)))))
% 182.20/182.07 [5697]~E(f318(f318(f125(x56971),x56972),x56974),x56973)+E(f318(f318(f166(x56971),f318(f180(f899(x56971)),x56972)),x56973),x56972)
% 182.20/182.07 [5698]~E(f318(f318(f125(x56982),x56983),x56981),x56984)+E(x56981,f318(f318(f129(x56982),f318(f180(f899(x56982)),x56983)),x56984))
% 182.20/182.07 [5709]~E(x57094,f2(a898))+E(f318(f318(f155(x57091),f318(f318(f142(x57091),x57092),x57093)),x57094),x57092)
% 182.20/182.07 [6265]~P111(x62651)+E(f318(f318(f235(x62651),f318(f318(f235(x62651),x62652),x62653)),x62654),f318(f318(f235(x62651),x62652),f318(f318(f76(a898),x62653),x62654)))
% 182.20/182.07 [6266]~P80(x62661)+E(f318(f318(f235(x62661),f318(f318(f235(x62661),x62662),x62663)),x62664),f318(f318(f235(x62661),x62662),f318(f318(f76(a898),x62663),x62664)))
% 182.20/182.07 [6274]E(x62741,f2(a898))+E(f318(f318(f155(x62742),f318(f318(f142(x62742),x62743),x62744)),x62741),f318(f318(f155(x62742),x62744),f318(f318(f23(a898),x62741),f73(a898))))
% 182.20/182.07 [6302]~P121(x63021)+E(f318(f318(f282(x63021),f318(f318(f76(x63021),x63022),x63023)),x63024),f318(f318(f76(x63021),x63022),f318(f318(f282(x63021),x63023),x63024)))
% 182.20/182.07 [6303]~P83(x63031)+E(f318(f318(f92(x63031),f318(f318(f92(x63031),x63032),x63033)),x63034),f318(f318(f92(x63031),x63032),f318(f318(f92(x63031),x63033),x63034)))
% 182.20/182.07 [6305]~P102(x63051)+E(f318(f318(f92(x63051),f318(f318(f92(x63051),x63052),x63053)),x63054),f318(f318(f92(x63051),x63052),f318(f318(f92(x63051),x63053),x63054)))
% 182.20/182.07 [6306]~P68(x63061)+E(f318(f318(f75(x63061),f318(f318(f75(x63061),x63062),x63063)),x63064),f318(f318(f75(x63061),x63062),f318(f318(f75(x63061),x63063),x63064)))
% 182.20/182.07 [6307]~P111(x63071)+E(f318(f318(f75(x63071),f318(f318(f75(x63071),x63072),x63073)),x63074),f318(f318(f75(x63071),x63072),f318(f318(f75(x63071),x63073),x63074)))
% 182.20/182.07 [6308]~P83(x63081)+E(f318(f318(f101(x63081),f318(f318(f101(x63081),x63082),x63083)),x63084),f318(f318(f101(x63081),x63082),f318(f318(f101(x63081),x63083),x63084)))
% 182.20/182.07 [6310]~P104(x63101)+E(f318(f318(f101(x63101),f318(f318(f101(x63101),x63102),x63103)),x63104),f318(f318(f101(x63101),x63102),f318(f318(f101(x63101),x63103),x63104)))
% 182.20/182.07 [6311]~P111(x63111)+E(f318(f318(f76(x63111),f318(f318(f76(x63111),x63112),x63113)),x63114),f318(f318(f76(x63111),x63112),f318(f318(f76(x63111),x63113),x63114)))
% 182.20/182.07 [6312]~P71(x63121)+E(f318(f318(f76(x63121),f318(f318(f76(x63121),x63122),x63123)),x63124),f318(f318(f76(x63121),x63122),f318(f318(f76(x63121),x63123),x63124)))
% 182.20/182.07 [6315]~P82(x63151)+E(f318(f318(f224(x63151),f318(f318(f224(x63151),x63152),x63153)),x63154),f318(f318(f224(x63151),x63152),f318(f318(f224(x63151),x63153),x63154)))
% 182.20/182.07 [6317]~P82(x63171)+E(f318(f318(f225(x63171),f318(f318(f225(x63171),x63172),x63173)),x63174),f318(f318(f225(x63171),x63172),f318(f318(f225(x63171),x63173),x63174)))
% 182.20/182.07 [6326]~P3(x63261)+E(f40(x63261,f318(f318(f75(x63261),x63262),f318(f318(f76(x63261),x63263),x63264)),x63264),f40(x63261,x63262,x63264))
% 182.20/182.07 [6327]~P3(x63271)+E(f40(x63271,f318(f318(f75(x63271),x63272),f318(f318(f76(x63271),x63273),x63274)),x63273),f40(x63271,x63272,x63273))
% 182.20/182.07 [6469]E(f318(f318(f155(x64691),f318(f318(f166(x64691),x64692),x64693)),x64694),f318(f318(f155(x64691),x64693),x64694))+~P1(f318(f318(f227(a898),x64694),x64692))
% 182.20/182.07 [6650]~E(x66502,x66504)+P1(f318(f318(f163(x66501),f318(f318(f142(x66501),x66502),x66503)),x66504))
% 182.20/182.07 [6652]~P111(x66521)+E(f318(f318(f75(x66521),f318(f318(f75(x66521),x66522),x66523)),x66524),f318(f318(f75(x66521),f318(f318(f75(x66521),x66522),x66524)),x66523))
% 182.20/182.07 [6653]~P111(x66531)+E(f318(f318(f76(x66531),f318(f318(f76(x66531),x66532),x66533)),x66534),f318(f318(f76(x66531),f318(f318(f76(x66531),x66532),x66534)),x66533))
% 182.20/182.07 [6714]~P144(x67142)+E(f318(f318(f6(x67141,x67142),f318(f16(x67142,x67141),x67143)),x67144),f318(f318(f76(x67142),f318(f91(x67142),f318(f29(x67141),x67144))),x67143))
% 182.20/182.07 [6890]E(f318(f318(f92(f905(x68901,a894)),f318(f318(f300(x68901),x68902),x68903)),x68904),f318(f318(f92(f905(x68901,a894)),x68903),x68904))+P1(f318(f318(f320(x68901),x68902),x68904))
% 182.20/182.07 [6959]~P65(x69591)+E(f318(f318(f224(x69591),f318(f318(f23(x69591),x69592),x69593)),f318(f318(f23(x69591),x69594),x69593)),f318(f318(f23(x69591),f318(f318(f224(x69591),x69592),x69594)),x69593))
% 182.20/182.07 [6960]~P65(x69601)+E(f318(f318(f225(x69601),f318(f318(f23(x69601),x69602),x69603)),f318(f318(f23(x69601),x69604),x69603)),f318(f318(f23(x69601),f318(f318(f225(x69601),x69602),x69604)),x69603))
% 182.20/182.07 [6961]~P100(x69611)+E(f318(f318(f101(x69611),f318(f318(f92(x69611),x69612),x69613)),f318(f318(f92(x69611),x69614),x69613)),f318(f318(f92(x69611),f318(f318(f101(x69611),x69612),x69614)),x69613))
% 182.20/182.07 [6962]~P85(x69621)+E(f318(f318(f224(x69621),f318(f318(f75(x69621),x69622),x69623)),f318(f318(f75(x69621),x69624),x69623)),f318(f318(f75(x69621),f318(f318(f224(x69621),x69622),x69624)),x69623))
% 182.20/182.07 [6963]~P85(x69631)+E(f318(f318(f225(x69631),f318(f318(f75(x69631),x69632),x69633)),f318(f318(f75(x69631),x69634),x69633)),f318(f318(f75(x69631),f318(f318(f225(x69631),x69632),x69634)),x69633))
% 182.20/182.07 [6964]~P100(x69641)+E(f318(f318(f92(x69641),f318(f318(f101(x69641),x69642),x69643)),f318(f318(f101(x69641),x69644),x69643)),f318(f318(f101(x69641),f318(f318(f92(x69641),x69642),x69644)),x69643))
% 182.20/182.07 [6966]~P112(x69661)+E(f318(f318(f75(x69661),f318(f318(f76(x69661),x69662),x69663)),f318(f318(f76(x69661),x69664),x69663)),f318(f318(f76(x69661),f318(f318(f75(x69661),x69662),x69664)),x69663))
% 182.20/182.07 [6967]~P111(x69671)+E(f318(f318(f76(x69671),f318(f318(f235(x69671),x69672),x69673)),f318(f318(f235(x69671),x69674),x69673)),f318(f318(f235(x69671),f318(f318(f76(x69671),x69672),x69674)),x69673))
% 182.20/182.07 [6968]~P75(x69681)+E(f318(f318(f76(x69681),f318(f318(f235(x69681),x69682),x69683)),f318(f318(f235(x69681),x69684),x69683)),f318(f318(f235(x69681),f318(f318(f76(x69681),x69682),x69684)),x69683))
% 182.20/182.07 [6969]~P60(x69691)+E(f318(f318(f282(x69691),f318(f318(f235(x69691),x69692),x69693)),f318(f318(f235(x69691),x69694),x69693)),f318(f318(f235(x69691),f318(f318(f282(x69691),x69692),x69694)),x69693))
% 182.20/182.07 [6970]~P121(x69701)+E(f318(f318(f23(x69701),f318(f318(f282(x69701),x69702),x69703)),f318(f318(f282(x69701),x69704),x69703)),f318(f318(f282(x69701),f318(f318(f23(x69701),x69702),x69704)),x69703))
% 182.20/182.07 [6971]~P121(x69711)+E(f318(f318(f75(x69711),f318(f318(f282(x69711),x69712),x69713)),f318(f318(f282(x69711),x69714),x69713)),f318(f318(f282(x69711),f318(f318(f75(x69711),x69712),x69714)),x69713))
% 182.20/182.07 [6972]~P82(x69721)+E(f318(f318(f225(x69721),f318(f318(f224(x69721),x69722),x69723)),f318(f318(f224(x69721),x69724),x69723)),f318(f318(f224(x69721),f318(f318(f225(x69721),x69722),x69724)),x69723))
% 182.20/182.07 [6973]~P82(x69731)+E(f318(f318(f224(x69731),f318(f318(f225(x69731),x69732),x69733)),f318(f318(f225(x69731),x69734),x69733)),f318(f318(f225(x69731),f318(f318(f224(x69731),x69732),x69734)),x69733))
% 182.20/182.07 [6974]~P111(x69741)+E(f318(f318(f75(x69741),f318(f318(f76(x69741),x69742),x69743)),f318(f318(f76(x69741),x69744),x69743)),f318(f318(f76(x69741),f318(f318(f75(x69741),x69742),x69744)),x69743))
% 182.20/182.07 [7007]E(f318(f318(f150(x70071,x70072),x70073),x70074),x70072)+~P1(f318(f318(f226(a898),f318(f180(f899(x70071)),x70072)),x70073))
% 182.20/182.07 [7034]~P1(f318(x70343,x70344))+P1(f318(f318(f318(f101(f905(x70341,a894)),x70342),x70343),x70344))
% 182.20/182.07 [7036]~P1(f318(x70362,x70364))+P1(f318(f318(f318(f101(f905(x70361,a894)),x70362),x70363),x70364))
% 182.20/182.07 [7056]E(f318(f318(f155(x70561),f318(f318(f125(x70561),x70562),x70563)),x70564),f318(f318(f155(x70561),x70562),x70564))+~P1(f318(f318(f227(a898),x70564),f318(f180(f899(x70561)),x70562)))
% 182.20/182.07 [7067]E(f318(f318(f23(f905(x70671,a894)),f318(f318(f300(x70671),x70672),x70673)),x70674),f318(f318(f23(f905(x70671,a894)),x70673),x70674))+~P1(f318(f318(f320(x70671),x70672),x70674))
% 182.20/182.07 [7108]~E(f130(a898,f318(f293(a898,x71081),x71082)),f318(f318(f142(a898),x71084),x71083))+E(f130(a898,f318(f293(a898,f318(f318(f75(a898),x71081),f73(a898))),x71082)),x71083)
% 182.20/182.07 [7130]~P1(f318(f318(f163(x71301),x71303),x71304))+P1(f318(f318(f163(x71301),f318(f318(f142(x71301),x71302),x71303)),x71304))
% 182.20/182.07 [7180]E(x71801,f2(a898))+E(f318(f318(f142(x71802),x71803),f318(f318(f166(x71802),f318(f318(f23(a898),x71801),f73(a898))),x71804)),f318(f318(f166(x71802),x71801),f318(f318(f142(x71802),x71803),x71804)))
% 182.20/182.07 [7282]E(f318(f318(f155(x72821),x72822),f318(f318(f23(a898),x72823),f318(f180(f899(x72821)),x72824))),f318(f318(f155(x72821),f318(f318(f125(x72821),x72824),x72822)),x72823))+P1(f318(f318(f227(a898),x72823),f318(f180(f899(x72821)),x72824)))
% 182.20/182.07 [7310]E(f318(f318(f92(f905(x73101,a894)),x73102),f318(f318(f300(x73101),x73103),x73104)),f318(f318(f300(x73101),x73103),f318(f318(f92(f905(x73101,a894)),x73102),x73104)))+~P1(f318(f318(f320(x73101),x73103),x73102))
% 182.20/182.07 [7348]E(f318(f318(f155(x73481),f318(f318(f150(x73481,x73482),x73483),x73484)),x73483),x73484)+~P1(f318(f318(f227(a898),x73483),f318(f180(f899(x73481)),x73482)))
% 182.20/182.07 [7370]E(x73701,f179(f905(x73702,a894)))+E(f318(f301(f904(x73703,x73702),x73703,f242(x73703,x73702)),f318(f318(f245(x73703,x73702),x73704),f318(f16(f905(x73702,a894),x73703),x73701))),x73704)
% 182.20/182.07 [7371]E(x73711,f179(f905(x73712,a894)))+E(f318(f301(f904(x73712,x73713),x73713,f247(x73712,x73713)),f318(f318(f245(x73712,x73713),x73711),f318(f16(f905(x73713,a894),x73712),x73714))),x73714)
% 182.20/182.07 [7446]E(f318(f318(f23(f905(x74461,a894)),f318(f318(f300(x74461),x74462),x74463)),x74464),f318(f318(f300(x74461),x74462),f318(f318(f23(f905(x74461,a894)),x74463),x74464)))+P1(f318(f318(f320(x74461),x74462),x74464))
% 182.20/182.07 [7482]~E(x74824,f179(f905(x74822,a894)))+E(f318(f301(f904(x74821,x74822),x74821,f242(x74821,x74822)),f318(f318(f245(x74821,x74822),x74823),f318(f16(f905(x74822,a894),x74821),x74824))),f179(f905(x74821,a894)))
% 182.20/182.07 [7483]~E(x74833,f179(f905(x74831,a894)))+E(f318(f301(f904(x74831,x74832),x74832,f247(x74831,x74832)),f318(f318(f245(x74831,x74832),x74833),f318(f16(f905(x74832,a894),x74831),x74834))),f179(f905(x74832,a894)))
% 182.20/182.07 [7535]~P1(f318(f318(f320(x75351),x75352),x75354))+P1(f318(f318(f320(x75351),x75352),f318(f318(f101(f905(x75351,a894)),x75353),x75354)))
% 182.20/182.07 [7538]~P1(f318(f318(f320(x75381),x75382),x75383))+P1(f318(f318(f320(x75381),x75382),f318(f318(f101(f905(x75381,a894)),x75383),x75384)))
% 182.20/182.07 [7556]E(f318(f318(f92(f905(x75561,a894)),f318(f318(f300(x75561),x75562),x75563)),x75564),f318(f318(f300(x75561),x75562),f318(f318(f92(f905(x75561,a894)),x75563),x75564)))+~P1(f318(f318(f320(x75561),x75562),x75564))
% 182.20/182.07 [7832]P1(f318(x78321,x78322))+~P1(f318(f318(f318(f92(f905(x78323,a894)),x78324),x78321),x78322))
% 182.20/182.07 [7833]P1(f318(x78331,x78332))+~P1(f318(f318(f318(f92(f905(x78333,a894)),x78331),x78334),x78332))
% 182.20/182.07 [7834]E(f318(f318(f6(x78341,a898),x78342),f318(f318(f23(f905(x78341,a894)),x78343),f318(f318(f300(x78341),x78344),f179(f905(x78341,a894))))),f318(f318(f6(x78341,a898),x78342),x78343))+P1(f318(f318(f320(x78341),x78344),x78343))
% 182.20/182.07 [7839]~P74(x78391)+E(f318(f156(x78391),f318(f318(f145(a898,x78391),x78392),f130(a898,f318(f293(a898,x78393),x78394)))),f318(f318(f6(a898,x78391),x78392),f318(f163(a898),f130(a898,f318(f293(a898,x78393),x78394)))))
% 182.20/182.07 [7840]~P74(x78401)+E(f318(f318(f6(a898,x78401),x78402),f318(f163(a898),f130(a898,f318(f293(a898,x78403),x78404)))),f318(f156(x78401),f318(f318(f145(a898,x78401),x78402),f130(a898,f318(f293(a898,x78403),x78404)))))
% 182.20/182.07 [7954]~E(x79543,x79544)+P1(f318(f56(x79541,x79542,f318(f318(f300(x79541),x79543),f179(f905(x79541,a894)))),x79544))
% 182.20/182.07 [8051]P1(f318(f318(f320(x80511),x80512),f318(f163(x80511),x80513)))+~P1(f318(f318(f320(x80511),x80512),f318(f163(x80511),f318(f318(f166(x80511),x80514),x80513))))
% 182.20/182.07 [8052]P1(f318(f318(f320(x80521),x80522),f318(f163(x80521),x80523)))+~P1(f318(f318(f320(x80521),x80522),f318(f163(x80521),f318(f318(f129(x80521),x80524),x80523))))
% 182.20/182.07 [8122]P1(f318(f318(f320(x81221),x81222),x81223))+~P1(f318(f318(f320(x81221),x81222),f318(f318(f23(f905(x81221,a894)),x81223),x81224)))
% 182.20/182.07 [8124]P1(f318(f318(f320(x81241),x81242),x81243))+~P1(f318(f318(f320(x81241),x81242),f318(f318(f92(f905(x81241,a894)),x81244),x81243)))
% 182.20/182.07 [8127]P1(f318(f318(f320(x81271),x81272),x81273))+~P1(f318(f318(f320(x81271),x81272),f318(f318(f92(f905(x81271,a894)),x81273),x81274)))
% 182.20/182.07 [8142]E(f318(f318(f125(x81421),f318(f318(f166(x81421),x81422),x81423)),f318(f318(f142(x81421),x81424),f318(f318(f129(x81421),f318(a103,x81422)),x81423))),f318(f318(f150(x81421,x81423),x81422),x81424))+~P1(f318(f318(f227(a898),x81422),f318(f180(f899(x81421)),x81423)))
% 182.20/182.07 [8165]P1(f318(f318(f320(x81651),x81652),x81653))+~P1(f318(f318(f226(f905(x81651,a894)),f318(f318(f300(x81651),x81652),x81654)),x81653))
% 182.20/182.07 [8202]~P1(f318(f318(f320(x82021),x82022),x82023))+~P1(f318(f318(f320(x82021),x82022),f318(f318(f23(f905(x82021,a894)),x82024),x82023)))
% 182.20/182.07 [8235]~P1(f318(f318(f227(a898),x82354),f318(f180(f899(x82351)),x82353)))+P1(f318(f318(f320(x82351),x82352),f318(f163(x82351),f318(f318(f150(x82351,x82353),x82354),x82352))))
% 182.20/182.07 [8288]E(f318(f318(f155(x82881),f318(f318(f129(x82881),x82882),x82883)),x82884),f318(f318(f155(x82881),x82883),f318(f318(f75(a898),x82882),x82884)))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x82882),x82884)),f318(f180(f899(x82881)),x82883)))
% 182.20/182.07 [8297]~P144(x82972)+E(f318(f318(f6(x82971,x82972),f318(f318(f8(a898,x82972,x82971),f91(x82972)),x82973)),x82974),f318(f91(x82972),f318(f318(f6(x82971,a898),x82973),x82974)))
% 182.20/182.07 [8298]~P127(x82982)+E(f318(f318(f6(x82981,x82982),f318(f318(f8(a1,x82982,x82981),f93(x82982)),x82983)),x82984),f318(f93(x82982),f318(f318(f6(x82981,a1),x82983),x82984)))
% 182.20/182.07 [8348]~P63(x83482)+E(f318(f318(f9(x83481,x83482),f318(f318(f8(x83482,x83482,x83481),f70(x83482)),x83483)),x83484),f318(f70(x83482),f318(f318(f9(x83481,x83482),x83483),x83484)))
% 182.20/182.07 [8349]~P67(x83492)+E(f318(f318(f6(x83491,x83492),f318(f318(f8(x83492,x83492,x83491),f74(x83492)),x83493)),x83494),f318(f74(x83492),f318(f318(f6(x83491,x83492),x83493),x83494)))
% 182.20/182.07 [8352]E(f318(f318(f6(x83521,a898),x83522),f318(f318(f23(f905(x83521,a894)),x83523),f318(f318(f300(x83521),x83524),f179(f905(x83521,a894))))),f318(f318(f23(a898),f318(f318(f6(x83521,a898),x83522),x83523)),f318(x83522,x83524)))+~P1(f318(f318(f320(x83521),x83524),x83523))
% 182.20/182.07 [8371]P1(f318(f318(f226(f905(x83711,a894)),x83712),x83713))+~P1(f318(f318(f226(f905(x83711,a894)),f318(f318(f300(x83711),x83714),x83712)),x83713))
% 182.20/182.07 [8496]~E(f318(f301(x84962,x84963,x84961),f233(f905(x84962,a894))),f233(f905(x84963,a894)))+E(f318(x84961,f318(f86(x84962,x84963,f233(f905(x84962,a894)),x84961),x84964)),x84964)
% 182.20/182.07 [8579]P36(x85791,x85792)+~P36(x85791,f318(f318(f300(f904(x85791,x85791)),f318(f318(f243(x85791,x85791),x85793),x85794)),x85792))
% 182.20/182.07 [8580]P56(x85801,x85802)+~P56(x85801,f318(f318(f300(f904(x85801,x85801)),f318(f318(f243(x85801,x85801),x85803),x85804)),x85802))
% 182.20/182.07 [8585]~P82(x85851)+E(f318(f318(f139(x85851,x85851,f5(x85851)),x85852),f318(f318(f139(x85851,x85851,f5(x85851)),x85853),x85854)),f318(f318(f139(x85851,x85851,f5(x85851)),x85853),f318(f318(f139(x85851,x85851,f5(x85851)),x85852),x85854)))
% 182.20/182.07 [8600]E(x86001,x86002)+~P1(f318(f56(x86003,x86004,f318(f318(f300(x86003),x86001),f179(f905(x86003,a894)))),x86002))
% 182.20/182.07 [8609]E(f318(f318(f125(x86091),f318(f318(f166(x86091),x86092),x86093)),f318(f318(f166(x86091),x86094),f318(f318(f129(x86091),x86092),x86093))),f318(f318(f166(x86091),f318(f318(f75(a898),x86092),x86094)),x86093))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x86092),x86094)),f318(f180(f899(x86091)),x86093)))
% 182.20/182.07 [8649]P1(f318(f28(x86491),x86492))+~E(x86492,f318(f301(a898,x86491,x86493),f318(f253(a898),f318(f318(f7(a898,a898,a894),f227(a898)),x86494))))
% 182.20/182.07 [8669]~P93(x86691)+E(f318(f133(x86691,x86691,f75(x86691),f318(f318(f75(x86691),x86692),x86693)),x86694),f318(f318(f75(x86691),x86692),f318(f133(x86691,x86691,f75(x86691),x86693),x86694)))
% 182.20/182.07 [8705]P1(f318(f318(f226(f905(x87051,a894)),f318(f255(x87051,x87052),x87053)),f318(f255(x87051,x87052),x87054)))+~P1(f318(f318(f226(f905(f904(x87051,x87052),a894)),x87053),x87054))
% 182.20/182.07 [8717]~P1(f318(f318(f226(a898),x87172),x87174))+P1(f318(f318(f226(f905(x87171,a894)),f318(f163(x87171),f318(f318(f166(x87171),x87172),x87173))),f318(f163(x87171),f318(f318(f166(x87171),x87174),x87173))))
% 182.20/182.07 [8718]~P1(f318(f318(f226(a898),x87184),x87182))+P1(f318(f318(f226(f905(x87181,a894)),f318(f163(x87181),f318(f318(f129(x87181),x87182),x87183))),f318(f163(x87181),f318(f318(f129(x87181),x87184),x87183))))
% 182.20/182.07 [8775]~P1(f318(f28(x87751),f318(f318(f23(f905(x87751,a894)),x87752),x87754)))+P1(f318(f28(x87751),f318(f318(f23(f905(x87751,a894)),x87752),f318(f318(f300(x87751),x87753),x87754))))
% 182.20/182.07 [8817]P1(f318(f318(f320(f904(x88171,x88171)),x88172),f298(x88171,x88173)))+~P1(f318(f318(f320(f904(x88171,x88171)),x88172),f318(f318(f174(f904(x88171,x88171),a894),x88174),x88173)))
% 182.20/182.07 [8903]~P1(f318(f28(x89031),f318(f318(f23(f905(x89031,a894)),x89032),f318(f318(f300(x89031),x89034),x89033))))+P1(f318(f28(x89031),f318(f318(f23(f905(x89031,a894)),x89032),x89033)))
% 182.20/182.07 [9118]~P83(x91181)+P1(f318(f318(f226(x91181),f318(f318(f101(x91181),x91182),f318(f318(f92(x91181),x91183),x91184))),f318(f318(f92(x91181),f318(f318(f101(x91181),x91182),x91183)),f318(f318(f101(x91181),x91182),x91184))))
% 182.20/182.07 [9119]~P82(x91191)+P1(f318(f318(f226(x91191),f318(f318(f225(x91191),x91192),f318(f318(f224(x91191),x91193),x91194))),f318(f318(f224(x91191),f318(f318(f225(x91191),x91192),x91193)),f318(f318(f225(x91191),x91192),x91194))))
% 182.20/182.07 [9267]E(x92671,x92672)+~P1(f318(f318(f320(f904(x92673,x92673)),f318(f318(f243(x92673,x92673),x92671),x92672)),f318(f163(f904(x92673,x92673)),f318(f318(f172(x92673,x92673),x92674),x92674))))
% 182.20/182.07 [9298]~P1(f318(f318(f320(f904(x92981,x92981)),f318(f318(f243(x92981,x92981),x92983),x92982)),f298(x92981,x92984)))+~P36(x92981,f318(f318(f300(f904(x92981,x92981)),f318(f318(f243(x92981,x92981),x92982),x92983)),x92984))
% 182.20/182.07 [9299]~P1(f318(f318(f320(f904(x92991,x92991)),f318(f318(f243(x92991,x92991),x92993),x92992)),f298(x92991,x92994)))+~P56(x92991,f318(f318(f300(f904(x92991,x92991)),f318(f318(f243(x92991,x92991),x92992),x92993)),x92994))
% 182.20/182.07 [9303]E(x93031,x93032)+E(f318(f127(x93033,f318(f318(f8(a894,a894,x93033),a313),f318(a315,x93031))),f318(f318(f142(x93033),x93032),x93034)),f318(f318(f142(x93033),x93032),f318(f127(x93033,f318(f318(f8(a894,a894,x93033),a313),f318(a315,x93031))),x93034)))
% 182.20/182.07 [9334]~P25(x93342,x93341,x93343,f233(f905(x93342,a894)),f233(f905(x93341,a894)))+E(f318(f301(x93341,x93342,f86(x93342,x93341,f233(f905(x93342,a894)),x93343)),x93344),f318(f302(x93342,x93341,x93343),x93344))
% 182.20/182.07 [9350]~P83(x93501)+P1(f318(f318(f226(x93501),f318(f318(f101(x93501),f318(f318(f92(x93501),x93502),x93503)),f318(f318(f92(x93501),x93502),x93504))),f318(f318(f92(x93501),x93502),f318(f318(f101(x93501),x93503),x93504))))
% 182.20/182.07 [9351]~P82(x93511)+P1(f318(f318(f226(x93511),f318(f318(f225(x93511),f318(f318(f224(x93511),x93512),x93513)),f318(f318(f224(x93511),x93512),x93514))),f318(f318(f224(x93511),x93512),f318(f318(f225(x93511),x93513),x93514))))
% 182.20/182.07 [9414]~P25(x94142,x94141,x94144,f233(f905(x94142,a894)),f233(f905(x94141,a894)))+E(f318(f253(x94141),f318(f318(f8(x94142,a894,x94141),x94143),f86(x94142,x94141,f233(f905(x94142,a894)),x94144))),f318(f301(x94142,x94141,x94144),f318(f253(x94142),x94143)))
% 182.20/182.07 [9428]~E(f318(f301(x94282,x94281,x94283),f233(f905(x94282,a894))),f233(f905(x94281,a894)))+P1(f318(f318(f226(f905(x94281,a894)),f318(f74(f905(x94281,a894)),f318(f301(x94282,x94281,x94283),x94284))),f318(f301(x94282,x94281,x94283),f318(f74(f905(x94282,a894)),x94284))))
% 182.20/182.07 [9762]P1(f318(f318(f320(f904(x97621,x97621)),f318(f318(f243(x97621,x97621),x97622),x97623)),f318(f277(x97621,x97621),f318(f318(f280(x97621,x97621,x97621),x97624),f298(x97621,x97624)))))+~P1(f318(f318(f320(f904(x97621,x97621)),f318(f318(f243(x97621,x97621),x97622),x97623)),f318(f318(f280(x97621,x97621,x97621),f318(f277(x97621,x97621),x97624)),f298(x97621,f318(f277(x97621,x97621),x97624)))))
% 182.20/182.07 [9763]~P1(f318(f318(f320(f904(x97631,x97631)),f318(f318(f243(x97631,x97631),x97632),x97633)),f318(f277(x97631,x97631),f318(f318(f280(x97631,x97631,x97631),x97634),f298(x97631,x97634)))))+P1(f318(f318(f320(f904(x97631,x97631)),f318(f318(f243(x97631,x97631),x97632),x97633)),f318(f318(f280(x97631,x97631,x97631),f318(f277(x97631,x97631),x97634)),f298(x97631,f318(f277(x97631,x97631),x97634)))))
% 182.20/182.07 [9784]~P1(f318(f318(f320(x97842),x97844),f318(f275(x97841,x97842),x97843)))+P1(f318(f318(f320(f904(x97841,x97842)),f318(f318(f243(x97841,x97842),f498(x97843,x97841,x97844,x97842)),x97844)),x97843))
% 182.20/182.07 [9785]~P1(f318(f318(f320(x97852),x97854),f318(f275(x97851,x97852),x97853)))+P1(f318(f318(f320(f904(x97851,x97852)),f318(f318(f243(x97851,x97852),f500(x97853,x97851,x97854,x97852)),x97854)),x97853))
% 182.20/182.07 [9810]~P1(f318(f318(f320(x98101),x98104),f318(f318(f92(f905(x98101,a894)),x98102),x98103)))+P1(f318(f318(f318(f92(f905(x98101,a894)),f318(f318(f7(x98101,f905(x98101,a894),a894),f320(x98101)),x98102)),f318(f318(f7(x98101,f905(x98101,a894),a894),f320(x98101)),x98103)),x98104))
% 182.20/182.07 [9811]~P1(f318(f318(f320(x98111),x98114),f318(f318(f101(f905(x98111,a894)),x98112),x98113)))+P1(f318(f318(f318(f101(f905(x98111,a894)),f318(f318(f7(x98111,f905(x98111,a894),a894),f320(x98111)),x98112)),f318(f318(f7(x98111,f905(x98111,a894),a894),f320(x98111)),x98113)),x98114))
% 182.20/182.07 [9891]~P1(f318(f318(f320(f904(x98911,x98911)),f318(f318(f243(x98911,x98911),x98914),x98913)),f318(f318(f280(x98911,x98911,x98911),x98912),f298(x98911,x98912))))+P1(f318(f318(f320(f904(x98911,x98911)),f318(f318(f243(x98911,x98911),f573(x98912,x98913,x98914,x98911)),x98913)),x98912))
% 182.20/182.07 [9926]P1(f318(f318(f320(x99261),x99262),f318(f318(f92(f905(x99261,a894)),x99263),x99264)))+~P1(f318(f318(f318(f92(f905(x99261,a894)),f318(f318(f7(x99261,f905(x99261,a894),a894),f320(x99261)),x99263)),f318(f318(f7(x99261,f905(x99261,a894),a894),f320(x99261)),x99264)),x99262))
% 182.20/182.07 [9927]P1(f318(f318(f320(x99271),x99272),f318(f318(f101(f905(x99271,a894)),x99273),x99274)))+~P1(f318(f318(f318(f101(f905(x99271,a894)),f318(f318(f7(x99271,f905(x99271,a894),a894),f320(x99271)),x99273)),f318(f318(f7(x99271,f905(x99271,a894),a894),f320(x99271)),x99274)),x99272))
% 182.20/182.07 [10208]P31(x102081,f318(f318(f7(x102081,f905(f904(x102081,x102081),a894),f905(x102081,a894)),f318(f318(f8(f905(x102081,f905(f905(f904(x102081,x102081),a894),a894)),f905(f905(f904(x102081,x102081),a894),f905(x102081,a894)),x102081),f7(x102081,f905(f904(x102081,x102081),a894),a894)),f318(f318(f8(f905(x102081,f904(x102081,x102081)),f905(x102081,f905(f905(f904(x102081,x102081),a894),a894)),x102081),f318(f8(f904(x102081,x102081),f905(f905(f904(x102081,x102081),a894),a894),x102081),f320(f904(x102081,x102081)))),f243(x102081,x102081)))),x102082),x102083,x102084)+~P1(f318(f318(f320(f904(f899(x102081),f899(x102081))),f318(f318(f243(f899(x102081),f899(x102081)),x102083),x102084)),f149(x102081,x102082)))
% 182.20/182.07 [10212]P57(x102121,f318(f318(f7(x102121,f905(f904(x102121,x102121),a894),f905(x102121,a894)),f318(f318(f8(f905(x102121,f905(f905(f904(x102121,x102121),a894),a894)),f905(f905(f904(x102121,x102121),a894),f905(x102121,a894)),x102121),f7(x102121,f905(f904(x102121,x102121),a894),a894)),f318(f318(f8(f905(x102121,f904(x102121,x102121)),f905(x102121,f905(f905(f904(x102121,x102121),a894),a894)),x102121),f318(f8(f904(x102121,x102121),f905(f905(f904(x102121,x102121),a894),a894),x102121),f320(f904(x102121,x102121)))),f243(x102121,x102121)))),x102122),x102123,x102124)+~P1(f318(f318(f320(f904(f905(x102121,a894),f905(x102121,a894))),f318(f318(f243(f905(x102121,a894),f905(x102121,a894)),x102123),x102124)),f309(x102121,x102122)))
% 182.20/182.07 [10247]E(x102471,x102472)+~E(f318(f318(f7(x102473,f905(f904(x102473,x102474),a894),f905(x102474,a894)),f318(f318(f8(f905(x102474,f905(f905(f904(x102473,x102474),a894),a894)),f905(f905(f904(x102473,x102474),a894),f905(x102474,a894)),x102473),f7(x102474,f905(f904(x102473,x102474),a894),a894)),f318(f318(f8(f905(x102474,f904(x102473,x102474)),f905(x102474,f905(f905(f904(x102473,x102474),a894),a894)),x102473),f318(f8(f904(x102473,x102474),f905(f905(f904(x102473,x102474),a894),a894),x102474),f320(f904(x102473,x102474)))),f243(x102473,x102474)))),x102471),f318(f318(f7(x102473,f905(f904(x102473,x102474),a894),f905(x102474,a894)),f318(f318(f8(f905(x102474,f905(f905(f904(x102473,x102474),a894),a894)),f905(f905(f904(x102473,x102474),a894),f905(x102474,a894)),x102473),f7(x102474,f905(f904(x102473,x102474),a894),a894)),f318(f318(f8(f905(x102474,f904(x102473,x102474)),f905(x102474,f905(f905(f904(x102473,x102474),a894),a894)),x102473),f318(f8(f904(x102473,x102474),f905(f905(f904(x102473,x102474),a894),a894),x102474),f320(f904(x102473,x102474)))),f243(x102473,x102474)))),x102472))
% 182.20/182.07 [10250]~P31(x102501,f318(f318(f7(x102501,f905(f904(x102501,x102501),a894),f905(x102501,a894)),f318(f318(f8(f905(x102501,f905(f905(f904(x102501,x102501),a894),a894)),f905(f905(f904(x102501,x102501),a894),f905(x102501,a894)),x102501),f7(x102501,f905(f904(x102501,x102501),a894),a894)),f318(f318(f8(f905(x102501,f904(x102501,x102501)),f905(x102501,f905(f905(f904(x102501,x102501),a894),a894)),x102501),f318(f8(f904(x102501,x102501),f905(f905(f904(x102501,x102501),a894),a894),x102501),f320(f904(x102501,x102501)))),f243(x102501,x102501)))),x102504),x102502,x102503)+P1(f318(f318(f320(f904(f899(x102501),f899(x102501))),f318(f318(f243(f899(x102501),f899(x102501)),x102502),x102503)),f149(x102501,x102504)))
% 182.20/182.07 [10251]~P57(x102511,f318(f318(f7(x102511,f905(f904(x102511,x102511),a894),f905(x102511,a894)),f318(f318(f8(f905(x102511,f905(f905(f904(x102511,x102511),a894),a894)),f905(f905(f904(x102511,x102511),a894),f905(x102511,a894)),x102511),f7(x102511,f905(f904(x102511,x102511),a894),a894)),f318(f318(f8(f905(x102511,f904(x102511,x102511)),f905(x102511,f905(f905(f904(x102511,x102511),a894),a894)),x102511),f318(f8(f904(x102511,x102511),f905(f905(f904(x102511,x102511),a894),a894),x102511),f320(f904(x102511,x102511)))),f243(x102511,x102511)))),x102514),x102512,x102513)+P1(f318(f318(f320(f904(f905(x102511,a894),f905(x102511,a894))),f318(f318(f243(f905(x102511,a894),f905(x102511,a894)),x102512),x102513)),f309(x102511,x102514)))
% 182.20/182.07 [7605]~P95(x76051)+E(f318(f318(f75(x76051),f318(f94(x76051),x76052)),f318(f318(f23(x76051),f318(f94(x76051),x76053)),x76054)),f318(f318(f23(x76051),f318(f94(x76051),f318(f318(f75(a1),x76052),x76053))),x76054))
% 182.20/182.07 [7606]~P95(x76061)+E(f318(f318(f75(x76061),f318(f94(x76061),x76062)),f318(f318(f75(x76061),f318(f94(x76061),x76063)),x76064)),f318(f318(f75(x76061),f318(f94(x76061),f318(f318(f75(a1),x76062),x76063))),x76064))
% 182.20/182.07 [7607]~P95(x76071)+E(f318(f318(f76(x76071),f318(f94(x76071),x76072)),f318(f318(f76(x76071),f318(f94(x76071),x76073)),x76074)),f318(f318(f76(x76071),f318(f94(x76071),f318(f318(f76(a1),x76072),x76073))),x76074))
% 182.20/182.07 [7649]~P144(x76491)+E(f318(f156(x76491),f318(f318(f145(x76492,x76491),f318(f16(x76491,x76492),x76493)),x76494)),f318(f318(f76(x76491),f318(f91(x76491),f318(f180(f899(x76492)),x76494))),x76493))
% 182.20/182.07 [7889]E(f318(f259(x78891,f318(f318(f142(f904(a90,x78891)),x78892),x78893)),x78894),f318(f247(a90,x78891),x78892))+~P1(f318(f318(f227(a90),x78894),f318(f242(a90,x78891),x78892)))
% 182.20/182.07 [7930]~P95(x79301)+E(f318(f318(f75(x79301),f318(f94(x79301),x79302)),f318(f318(f23(x79301),x79303),f318(f94(x79301),x79304))),f318(f318(f75(x79301),f318(f94(x79301),f318(f318(f75(a1),x79302),f318(f74(a1),x79304)))),x79303))
% 182.20/182.07 [8064]E(f318(f259(x80641,x80642),f318(f318(f23(a90),x80643),f318(f242(a90,x80641),x80644))),f318(f259(x80641,f318(f318(f142(f904(a90,x80641)),x80644),x80642)),x80643))+P1(f318(f318(f227(a90),x80643),f318(f242(a90,x80641),x80644)))
% 182.20/182.07 [8502]~P1(f318(f318(f320(x85021),x85022),f318(f163(x85021),f105(x85021,x85024))))+P1(f318(f318(f320(x85021),x85022),f318(f163(x85021),f105(x85021,f318(f318(f125(x85021),x85023),x85024)))))
% 182.20/182.07 [8503]~P1(f318(f318(f320(x85031),x85032),f318(f163(x85031),f105(x85031,x85033))))+P1(f318(f318(f320(x85031),x85032),f318(f163(x85031),f105(x85031,f318(f318(f125(x85031),x85033),x85034)))))
% 182.20/182.07 [8522]E(f318(f318(f101(f905(x85221,a894)),f318(f318(f92(f905(x85221,a894)),x85222),x85223)),x85224),f318(f318(f92(f905(x85221,a894)),x85222),f318(f318(f101(f905(x85221,a894)),x85223),x85224)))+~P1(f318(f318(f226(f905(x85221,a894)),x85224),x85222))
% 182.20/182.07 [8831]~E(f318(f318(f101(f905(x88311,a894)),f318(f318(f92(f905(x88311,a894)),x88313),x88314)),x88312),f318(f318(f92(f905(x88311,a894)),x88313),f318(f318(f101(f905(x88311,a894)),x88314),x88312)))+P1(f318(f318(f226(f905(x88311,a894)),x88312),x88313))
% 182.20/182.07 [9123]~P1(f318(f318(f226(f905(x91231,a894)),x91232),f318(f318(f101(f905(x91231,a894)),x91233),x91234)))+P1(f318(f318(f226(f905(x91231,a894)),f318(f318(f23(f905(x91231,a894)),x91232),x91233)),x91234))
% 182.20/182.07 [9239]~E(f318(f301(x92391,x92392,x92393),f233(f905(x92391,a894))),f233(f905(x92392,a894)))+E(f318(f301(x92391,x92392,x92393),f318(f301(x92392,x92391,f86(x92391,x92392,f233(f905(x92391,a894)),x92393)),x92394)),x92394)
% 182.20/182.07 [9244]P1(f318(f318(f226(f905(x92441,a894)),x92442),f318(f318(f101(f905(x92441,a894)),x92443),x92444)))+~P1(f318(f318(f226(f905(x92441,a894)),f318(f318(f23(f905(x92441,a894)),x92442),x92443)),x92444))
% 182.20/182.07 [9329]~P87(x93291)+E(f318(f70(x93291),f318(f318(f6(x93292,x93291),f318(f318(f8(x93291,x93291,x93292),f70(x93291)),x93293)),x93294)),f318(f318(f6(x93292,x93291),f318(f318(f8(x93291,x93291,x93292),f70(x93291)),x93293)),x93294))
% 182.20/182.07 [9504]~P87(x95041)+P1(f318(f318(f226(x95041),f2(x95041)),f318(f318(f6(x95042,x95041),f318(f318(f8(x95041,x95041,x95042),f70(x95041)),x95043)),x95044)))
% 182.20/182.07 [9508]~P67(x95081)+E(f318(f156(x95081),f318(f318(f145(x95082,x95081),f318(f67(x95081,x95081,x95082,f74(x95081)),x95083)),x95084)),f318(f74(x95081),f318(f156(x95081),f318(f318(f145(x95082,x95081),x95083),x95084))))
% 182.20/182.07 [9658]~P87(x96581)+P1(f318(f318(f226(x96581),f318(f70(x96581),f318(f318(f6(x96582,x96581),x96583),x96584))),f318(f318(f6(x96582,x96581),f318(f318(f8(x96581,x96581,x96582),f70(x96581)),x96583)),x96584)))
% 182.20/182.07 [9687]~E(f318(f318(f75(a898),x96871),x96874),f318(f318(f75(a898),x96873),x96872))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x96871),x96872)),f318(f318(f243(a898,a898),x96873),x96874))),a99))
% 182.20/182.07 [9688]~P1(f318(f318(f227(a898),x96881),x96883))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x96881),x96882)),f318(f318(f243(a898,a898),x96883),x96884))),a26))
% 182.20/182.07 [9689]~P1(f318(f318(f227(a898),x96891),x96893))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x96891),x96892)),f318(f318(f243(a898,a898),x96893),x96894))),a65))
% 182.20/182.07 [9835]E(f318(f318(f75(a898),x98351),x98352),f318(f318(f75(a898),x98353),x98354))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x98351),x98354)),f318(f318(f243(a898,a898),x98353),x98352))),a99))
% 182.20/182.07 [9866]E(f318(f318(f155(x98661),f318(f318(f129(x98661),f318(f180(f899(x98661)),f168(x98661,x98662,x98663))),x98663)),x98664),f318(f318(f155(x98661),x98663),f318(f318(f75(a898),x98664),f318(f180(f899(x98661)),f168(x98661,x98662,x98663)))))+~P1(f318(f318(f227(a898),x98664),f318(f180(f899(x98661)),f318(f318(f129(x98661),f318(f180(f899(x98661)),f168(x98661,x98662,x98663))),x98663))))
% 182.20/182.07 [9882]~P1(f318(f318(f320(x98822),x98824),f318(f318(f34(x98821,f905(x98822,a894)),f233(f905(x98821,a894))),x98823)))+P1(f318(f318(f318(f34(x98821,f905(x98822,a894)),f233(f905(x98821,a894))),f318(f318(f8(f905(x98822,a894),f905(x98822,a894),x98821),f318(f7(x98822,f905(x98822,a894),a894),f320(x98822))),x98823)),x98824))
% 182.20/182.07 [9883]~P1(f318(f318(f320(x98832),x98834),f318(f318(f35(x98831,f905(x98832,a894)),f233(f905(x98831,a894))),x98833)))+P1(f318(f318(f318(f35(x98831,f905(x98832,a894)),f233(f905(x98831,a894))),f318(f318(f8(f905(x98832,a894),f905(x98832,a894),x98831),f318(f7(x98832,f905(x98832,a894),a894),f320(x98832))),x98833)),x98834))
% 182.20/182.07 [9952]~P1(f318(f44(x99521,x99522),f318(f318(f243(a1,a1),x99524),x99523)))+P1(f318(f44(f318(f74(a1),x99521),x99522),f318(f318(f243(a1,a1),f318(f318(f318(f87(a1),f318(f318(a315,x99523),f2(a1))),f318(f74(a1),x99524)),f318(f318(f23(a1),f318(f74(a1),x99524)),f73(a1)))),f318(f318(f318(f87(a1),f318(f318(a315,x99523),f2(a1))),f2(a1)),f318(f318(f23(a1),x99522),x99523)))))
% 182.20/182.07 [9964]P1(f318(f318(f320(x99641),x99642),f318(f318(f34(x99643,f905(x99641,a894)),f233(f905(x99643,a894))),x99644)))+~P1(f318(f318(f318(f34(x99643,f905(x99641,a894)),f233(f905(x99643,a894))),f318(f318(f8(f905(x99641,a894),f905(x99641,a894),x99643),f318(f7(x99641,f905(x99641,a894),a894),f320(x99641))),x99644)),x99642))
% 182.20/182.07 [9965]P1(f318(f318(f320(x99651),x99652),f318(f318(f35(x99653,f905(x99651,a894)),f233(f905(x99653,a894))),x99654)))+~P1(f318(f318(f318(f35(x99653,f905(x99651,a894)),f233(f905(x99653,a894))),f318(f318(f8(f905(x99651,a894),f905(x99651,a894),x99653),f318(f7(x99651,f905(x99651,a894),a894),f320(x99651))),x99654)),x99652))
% 182.20/182.07 [9977]E(f318(f318(f34(a898,f905(x99771,a894)),f233(f905(a898,a894))),x99772),f318(f318(f34(a898,f905(x99771,a894)),f233(f905(a898,a894))),x99773))+~E(f318(f318(f34(a898,f905(x99771,a894)),f318(f293(a898,f2(a898)),f431(x99772,x99774,x99773,x99771))),x99773),f318(f318(f34(a898,f905(x99771,a894)),f318(f293(a898,f2(a898)),f318(f318(f75(a898),f431(x99772,x99774,x99773,x99771)),x99774))),x99772))
% 182.20/182.07 [10328]~P1(f318(f318(f226(f905(f904(x103281,x103282),a894)),x103283),x103284))+P1(f318(f318(f226(f905(x103281,f905(x103282,a894))),f318(f318(f7(x103281,f905(f904(x103281,x103282),a894),f905(x103282,a894)),f318(f318(f8(f905(x103282,f905(f905(f904(x103281,x103282),a894),a894)),f905(f905(f904(x103281,x103282),a894),f905(x103282,a894)),x103281),f7(x103282,f905(f904(x103281,x103282),a894),a894)),f318(f318(f8(f905(x103282,f904(x103281,x103282)),f905(x103282,f905(f905(f904(x103281,x103282),a894),a894)),x103281),f318(f8(f904(x103281,x103282),f905(f905(f904(x103281,x103282),a894),a894),x103282),f320(f904(x103281,x103282)))),f243(x103281,x103282)))),x103283)),f318(f318(f7(x103281,f905(f904(x103281,x103282),a894),f905(x103282,a894)),f318(f318(f8(f905(x103282,f905(f905(f904(x103281,x103282),a894),a894)),f905(f905(f904(x103281,x103282),a894),f905(x103282,a894)),x103281),f7(x103282,f905(f904(x103281,x103282),a894),a894)),f318(f318(f8(f905(x103282,f904(x103281,x103282)),f905(x103282,f905(f905(f904(x103281,x103282),a894),a894)),x103281),f318(f8(f904(x103281,x103282),f905(f905(f904(x103281,x103282),a894),a894),x103282),f320(f904(x103281,x103282)))),f243(x103281,x103282)))),x103284)))
% 182.20/182.07 [10344]P1(f318(f318(f226(f905(f904(x103441,x103442),a894)),x103443),x103444))+~P1(f318(f318(f226(f905(x103441,f905(x103442,a894))),f318(f318(f7(x103441,f905(f904(x103441,x103442),a894),f905(x103442,a894)),f318(f318(f8(f905(x103442,f905(f905(f904(x103441,x103442),a894),a894)),f905(f905(f904(x103441,x103442),a894),f905(x103442,a894)),x103441),f7(x103442,f905(f904(x103441,x103442),a894),a894)),f318(f318(f8(f905(x103442,f904(x103441,x103442)),f905(x103442,f905(f905(f904(x103441,x103442),a894),a894)),x103441),f318(f8(f904(x103441,x103442),f905(f905(f904(x103441,x103442),a894),a894),x103442),f320(f904(x103441,x103442)))),f243(x103441,x103442)))),x103443)),f318(f318(f7(x103441,f905(f904(x103441,x103442),a894),f905(x103442,a894)),f318(f318(f8(f905(x103442,f905(f905(f904(x103441,x103442),a894),a894)),f905(f905(f904(x103441,x103442),a894),f905(x103442,a894)),x103441),f7(x103442,f905(f904(x103441,x103442),a894),a894)),f318(f318(f8(f905(x103442,f904(x103441,x103442)),f905(x103442,f905(f905(f904(x103441,x103442),a894),a894)),x103441),f318(f8(f904(x103441,x103442),f905(f905(f904(x103441,x103442),a894),a894),x103442),f320(f904(x103441,x103442)))),f243(x103441,x103442)))),x103444)))
% 182.20/182.07 [9377]~P1(f318(f318(f320(f904(x93771,x93771)),x93772),f298(x93771,x93774)))+P1(f318(f318(f320(f904(x93771,x93771)),x93772),f298(x93771,f318(f318(f101(f905(f904(x93771,x93771),a894)),x93773),x93774))))
% 182.20/182.07 [9378]~P1(f318(f318(f320(f904(x93781,x93781)),x93782),f298(x93781,x93783)))+P1(f318(f318(f320(f904(x93781,x93781)),x93782),f298(x93781,f318(f318(f101(f905(f904(x93781,x93781),a894)),x93783),x93784))))
% 182.20/182.07 [10063]~P1(f318(f318(f226(a898),f318(f318(f75(a898),x100631),x100634)),f318(f318(f75(a898),x100633),x100632)))+P1(f318(f318(f226(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x100631),x100632)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x100633),x100634)),f179(f905(f904(a898,a898),a894)))))))
% 182.20/182.07 [10064]~P1(f318(f318(f227(a898),f318(f318(f75(a898),x100641),x100644)),f318(f318(f75(a898),x100643),x100642)))+P1(f318(f318(f227(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x100641),x100642)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x100643),x100644)),f179(f905(f904(a898,a898),a894)))))))
% 182.20/182.07 [10151]P1(f318(f318(f226(a898),f318(f318(f75(a898),x101511),x101512)),f318(f318(f75(a898),x101513),x101514)))+~P1(f318(f318(f226(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x101511),x101514)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x101513),x101512)),f179(f905(f904(a898,a898),a894)))))))
% 182.20/182.07 [10152]P1(f318(f318(f227(a898),f318(f318(f75(a898),x101521),x101522)),f318(f318(f75(a898),x101523),x101524)))+~P1(f318(f318(f227(a1),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x101521),x101524)),f179(f905(f904(a898,a898),a894)))))),f318(a84,f318(f276(f904(a898,a898),f904(a898,a898),a99),f318(f318(f300(f904(a898,a898)),f318(f318(f243(a898,a898),x101523),x101522)),f179(f905(f904(a898,a898),a894)))))))
% 182.20/182.07 [10194]P1(f318(f318(f226(f905(x101941,a894)),f318(f318(f34(a898,f905(x101941,a894)),f233(f905(a898,a894))),x101942)),f318(f318(f34(a898,f905(x101941,a894)),f233(f905(a898,a894))),x101943)))+~P1(f318(f318(f226(f905(x101941,a894)),f318(f318(f34(a898,f905(x101941,a894)),f318(f293(a898,f2(a898)),f421(x101943,x101944,x101942,x101941))),x101942)),f318(f318(f34(a898,f905(x101941,a894)),f318(f293(a898,f2(a898)),f318(f318(f75(a898),f421(x101943,x101944,x101942,x101941)),x101944))),x101943)))
% 182.20/182.07 [10254]P1(f318(f318(f226(a90),x102544),f2(a90)))+E(f318(f318(f250(f904(a90,a90),f904(x102541,f905(a897,a314)),f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90))),f318(x102542,x102543)),f318(f318(f8(f905(f905(a90,f905(a894,f901(f900(x102541)))),f905(f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90)))),f905(f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90))),f904(x102541,f905(a897,a314))),f318(f250(f904(a90,a90),f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90))),f268(x102541,x102542,f318(f318(f23(a90),x102544),f73(a90)),x102543))),f318(f318(f8(f905(f905(a90,f905(a894,f901(f900(x102541)))),f905(a90,f905(a894,f901(f900(x102541))))),f905(f905(a90,f905(a894,f901(f900(x102541)))),f905(f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90)))),f904(x102541,f905(a897,a314))),f318(f8(f905(a90,f905(a894,f901(f900(x102541)))),f905(f904(a90,a90),f904(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90))),f905(a90,f905(a894,f901(f900(x102541))))),f243(f905(a90,f905(a894,f901(f900(x102541)))),f904(a90,a90)))),f318(f318(f8(f905(a90,f905(a894,f901(f900(x102541)))),f905(f905(a90,f905(a894,f901(f900(x102541)))),f905(a90,f905(a894,f901(f900(x102541))))),f904(x102541,f905(a897,a314))),f39(x102541)),f318(f318(f8(x102541,f905(a90,f905(a894,f901(f900(x102541)))),f904(x102541,f905(a897,a314))),f37(x102541)),f242(x102541,f905(a897,a314))))))),f268(x102541,x102542,x102544,x102543))
% 182.20/182.07 [10318]~P1(f318(f318(f320(x103182),x103184),f318(f275(x103181,x103182),x103183)))+P1(f318(f241(x103181,x103182,f318(f318(f7(x103181,f905(f904(x103181,x103182),a894),f905(x103182,a894)),f318(f318(f8(f905(x103182,f905(f905(f904(x103181,x103182),a894),a894)),f905(f905(f904(x103181,x103182),a894),f905(x103182,a894)),x103181),f7(x103182,f905(f904(x103181,x103182),a894),a894)),f318(f318(f8(f905(x103182,f904(x103181,x103182)),f905(x103182,f905(f905(f904(x103181,x103182),a894),a894)),x103181),f318(f8(f904(x103181,x103182),f905(f905(f904(x103181,x103182),a894),a894),x103182),f320(f904(x103181,x103182)))),f243(x103181,x103182)))),x103183)),x103184))
% 182.20/182.07 [10319]~P1(f318(f318(f320(x103191),x103194),f318(f255(x103191,x103192),x103193)))+P1(f318(f240(x103191,x103192,f318(f318(f7(x103191,f905(f904(x103191,x103192),a894),f905(x103192,a894)),f318(f318(f8(f905(x103192,f905(f905(f904(x103191,x103192),a894),a894)),f905(f905(f904(x103191,x103192),a894),f905(x103192,a894)),x103191),f7(x103192,f905(f904(x103191,x103192),a894),a894)),f318(f318(f8(f905(x103192,f904(x103191,x103192)),f905(x103192,f905(f905(f904(x103191,x103192),a894),a894)),x103191),f318(f8(f904(x103191,x103192),f905(f905(f904(x103191,x103192),a894),a894),x103192),f320(f904(x103191,x103192)))),f243(x103191,x103192)))),x103193)),x103194))
% 182.20/182.07 [10331]P1(f318(f318(f320(x103311),x103312),f318(f275(x103313,x103311),x103314)))+~P1(f318(f241(x103313,x103311,f318(f318(f7(x103313,f905(f904(x103313,x103311),a894),f905(x103311,a894)),f318(f318(f8(f905(x103311,f905(f905(f904(x103313,x103311),a894),a894)),f905(f905(f904(x103313,x103311),a894),f905(x103311,a894)),x103313),f7(x103311,f905(f904(x103313,x103311),a894),a894)),f318(f318(f8(f905(x103311,f904(x103313,x103311)),f905(x103311,f905(f905(f904(x103313,x103311),a894),a894)),x103313),f318(f8(f904(x103313,x103311),f905(f905(f904(x103313,x103311),a894),a894),x103311),f320(f904(x103313,x103311)))),f243(x103313,x103311)))),x103314)),x103312))
% 182.20/182.07 [10332]P1(f318(f318(f320(x103321),x103322),f318(f255(x103321,x103323),x103324)))+~P1(f318(f240(x103321,x103323,f318(f318(f7(x103321,f905(f904(x103321,x103323),a894),f905(x103323,a894)),f318(f318(f8(f905(x103323,f905(f905(f904(x103321,x103323),a894),a894)),f905(f905(f904(x103321,x103323),a894),f905(x103323,a894)),x103321),f7(x103323,f905(f904(x103321,x103323),a894),a894)),f318(f318(f8(f905(x103323,f904(x103321,x103323)),f905(x103323,f905(f905(f904(x103321,x103323),a894),a894)),x103321),f318(f8(f904(x103321,x103323),f905(f905(f904(x103321,x103323),a894),a894),x103323),f320(f904(x103321,x103323)))),f243(x103321,x103323)))),x103324)),x103322))
% 182.20/182.07 [9988]P1(f318(f151(x99881,x99882),x99883))+~P1(f318(f151(x99881,f318(f318(f18(x99881,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99881),a316),x99884)),x99882)),x99883))
% 182.20/182.07 [9989]P1(f318(f151(x99891,x99892),x99893))+~P1(f318(f151(x99891,f318(f318(f18(x99891,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99891),a316),x99892)),x99894)),x99893))
% 182.20/182.07 [10075]~P111(x100751)+E(f318(f318(f76(x100751),f318(f318(f75(x100751),f73(x100751)),f73(x100751))),f318(f318(f6(a898,x100751),f318(f318(f8(x100751,x100751,a898),f318(f75(x100751),x100752)),f318(f318(f7(a898,x100751,x100751),f318(f318(f8(x100751,f905(x100751,x100751),a898),f76(x100751)),f91(x100751))),x100753))),f318(f273(a898),x100754))),f318(f318(f76(x100751),f318(f91(x100751),x100754)),f318(f318(f75(x100751),x100752),f318(f318(f75(x100751),x100752),f318(f318(f76(x100751),f318(f91(x100751),f318(f318(f23(a898),x100754),f73(a898)))),x100753)))))
% 182.20/182.07 [10215]P1(f318(x102151,f497(x102152,x102153,x102154,x102151)))+P36(x102152,f318(f253(f904(x102152,x102152)),f318(f248(x102152,x102152,a894),f318(f318(f8(f905(x102152,a894),f905(x102152,a894),x102152),f318(f18(x102152,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102152),a316),x102151))),f318(f318(f7(x102152,f905(x102152,x102152),f905(x102152,a894)),f318(f318(f8(f905(x102152,a894),f905(f905(x102152,x102152),f905(x102152,a894)),x102152),f8(x102152,a894,x102152)),a315)),x102153)))))
% 182.20/182.07 [10229]~P1(f318(f318(f227(a898),f318(x102294,f318(x102293,f497(x102291,x102293,x102294,x102292)))),f318(x102294,f497(x102291,x102293,x102294,x102292))))+P36(x102291,f318(f253(f904(x102291,x102291)),f318(f248(x102291,x102291,a894),f318(f318(f8(f905(x102291,a894),f905(x102291,a894),x102291),f318(f18(x102291,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102291),a316),x102292))),f318(f318(f7(x102291,f905(x102291,x102291),f905(x102291,a894)),f318(f318(f8(f905(x102291,a894),f905(f905(x102291,x102291),f905(x102291,a894)),x102291),f8(x102291,a894,x102291)),a315)),x102293)))))
% 182.20/182.07 [10305]~P5(x103051)+E(f32(x103051,f318(f253(x103051),f318(f318(f8(f905(f905(x103052,x103051),a894),a894,x103051),f82(f905(x103052,x103051))),f318(f318(f8(f905(f905(x103052,x103051),a894),f905(f905(x103052,x103051),a894),x103051),f318(f18(f905(x103052,x103051),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x103052,x103051)),a316),f318(f318(f7(f905(x103052,x103051),f905(f905(x103052,x103051),a894),a894),f320(f905(x103052,x103051))),x103053)))),f318(f318(f7(x103051,f905(f905(x103052,x103051),x103051),f905(f905(x103052,x103051),a894)),f318(f318(f8(f905(x103051,a894),f905(f905(f905(x103052,x103051),x103051),f905(f905(x103052,x103051),a894)),x103051),f8(x103051,a894,f905(x103052,x103051))),a315)),f318(f318(f7(f905(x103052,x103051),x103052,x103051),f5(f905(x103052,x103051))),x103054)))))),f318(f32(f905(x103052,x103051),x103053),x103054))
% 182.20/182.07 [10306]~P5(x103061)+E(f32(x103061,f318(f253(x103061),f318(f318(f8(f905(f905(x103062,x103061),a894),a894,x103061),f82(f905(x103062,x103061))),f318(f318(f8(f905(f905(x103062,x103061),a894),f905(f905(x103062,x103061),a894),x103061),f318(f18(f905(x103062,x103061),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x103062,x103061)),a316),f318(f318(f7(f905(x103062,x103061),f905(f905(x103062,x103061),a894),a894),f320(f905(x103062,x103061))),x103063)))),f318(f318(f7(x103061,f905(f905(x103062,x103061),x103061),f905(f905(x103062,x103061),a894)),f318(f318(f8(f905(x103061,a894),f905(f905(f905(x103062,x103061),x103061),f905(f905(x103062,x103061),a894)),x103061),f8(x103061,a894,f905(x103062,x103061))),a315)),f318(f318(f7(f905(x103062,x103061),x103062,x103061),f5(f905(x103062,x103061))),x103064)))))),f318(f32(f905(x103062,x103061),x103063),x103064))
% 182.20/182.07 [10307]~P5(x103071)+E(f31(x103071,f318(f253(x103071),f318(f318(f8(f905(f905(x103072,x103071),a894),a894,x103071),f82(f905(x103072,x103071))),f318(f318(f8(f905(f905(x103072,x103071),a894),f905(f905(x103072,x103071),a894),x103071),f318(f18(f905(x103072,x103071),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x103072,x103071)),a316),f318(f318(f7(f905(x103072,x103071),f905(f905(x103072,x103071),a894),a894),f320(f905(x103072,x103071))),x103073)))),f318(f318(f7(x103071,f905(f905(x103072,x103071),x103071),f905(f905(x103072,x103071),a894)),f318(f318(f8(f905(x103071,a894),f905(f905(f905(x103072,x103071),x103071),f905(f905(x103072,x103071),a894)),x103071),f8(x103071,a894,f905(x103072,x103071))),a315)),f318(f318(f7(f905(x103072,x103071),x103072,x103071),f5(f905(x103072,x103071))),x103074)))))),f318(f31(f905(x103072,x103071),x103073),x103074))
% 182.20/182.07 [10308]~P5(x103081)+E(f31(x103081,f318(f253(x103081),f318(f318(f8(f905(f905(x103082,x103081),a894),a894,x103081),f82(f905(x103082,x103081))),f318(f318(f8(f905(f905(x103082,x103081),a894),f905(f905(x103082,x103081),a894),x103081),f318(f18(f905(x103082,x103081),a894,a894),f318(f318(f8(a894,f905(a894,a894),f905(x103082,x103081)),a316),f318(f318(f7(f905(x103082,x103081),f905(f905(x103082,x103081),a894),a894),f320(f905(x103082,x103081))),x103083)))),f318(f318(f7(x103081,f905(f905(x103082,x103081),x103081),f905(f905(x103082,x103081),a894)),f318(f318(f8(f905(x103081,a894),f905(f905(f905(x103082,x103081),x103081),f905(f905(x103082,x103081),a894)),x103081),f8(x103081,a894,f905(x103082,x103081))),a315)),f318(f318(f7(f905(x103082,x103081),x103082,x103081),f5(f905(x103082,x103081))),x103084)))))),f318(f31(f905(x103082,x103081),x103083),x103084))
% 182.20/182.07 [10357]~P1(f318(f318(f320(f904(x103571,x103571)),f318(f318(f243(x103571,x103571),x103573),x103574)),f318(f318(f101(f905(f904(x103571,x103571),a894)),x103572),f298(x103571,f179(f905(f904(x103571,x103571),a894))))))+P1(f318(f318(f318(f318(f101(f905(x103571,f905(x103571,a894))),f318(f318(f7(x103571,f905(f904(x103571,x103571),a894),f905(x103571,a894)),f318(f318(f8(f905(x103571,f905(f905(f904(x103571,x103571),a894),a894)),f905(f905(f904(x103571,x103571),a894),f905(x103571,a894)),x103571),f7(x103571,f905(f904(x103571,x103571),a894),a894)),f318(f318(f8(f905(x103571,f904(x103571,x103571)),f905(x103571,f905(f905(f904(x103571,x103571),a894),a894)),x103571),f318(f8(f904(x103571,x103571),f905(f905(f904(x103571,x103571),a894),a894),x103571),f320(f904(x103571,x103571)))),f243(x103571,x103571)))),x103572)),a315),x103573),x103574))
% 182.20/182.07 [10367]P1(f318(f318(f320(f904(x103671,x103671)),f318(f318(f243(x103671,x103671),x103672),x103673)),f318(f318(f101(f905(f904(x103671,x103671),a894)),x103674),f298(x103671,f179(f905(f904(x103671,x103671),a894))))))+~P1(f318(f318(f318(f318(f101(f905(x103671,f905(x103671,a894))),f318(f318(f7(x103671,f905(f904(x103671,x103671),a894),f905(x103671,a894)),f318(f318(f8(f905(x103671,f905(f905(f904(x103671,x103671),a894),a894)),f905(f905(f904(x103671,x103671),a894),f905(x103671,a894)),x103671),f7(x103671,f905(f904(x103671,x103671),a894),a894)),f318(f318(f8(f905(x103671,f904(x103671,x103671)),f905(x103671,f905(f905(f904(x103671,x103671),a894),a894)),x103671),f318(f8(f904(x103671,x103671),f905(f905(f904(x103671,x103671),a894),a894),x103671),f320(f904(x103671,x103671)))),f243(x103671,x103671)))),x103674)),a315),x103672),x103673))
% 182.20/182.07 [10315]E(f318(f318(f142(f899(x103151)),f318(f318(f142(x103151),x103152),f318(f133(f899(x103151),f899(x103151),f125(x103151),f104(x103151)),f318(f318(f145(f899(x103151),f899(x103151)),f147(f899(x103151),x103151,f104(x103151),f318(f318(f8(f899(x103151),f905(f899(x103151),f899(x103151)),x103151),f16(f899(x103151),f899(x103151))),f318(f318(f7(x103151,f899(x103151),f899(x103151)),f142(x103151)),f104(x103151))))),x103153)))),f170(x103151,f318(f318(f142(f899(x103151)),x103154),f318(f133(f899(f899(x103151)),f899(f899(x103151)),f125(f899(x103151)),f104(f899(x103151))),f318(f318(f145(f899(x103151),f899(f899(x103151))),f147(f899(f899(x103151)),x103151,f104(f899(x103151)),f318(f16(f905(f899(x103151),f899(f899(x103151))),x103151),f318(f318(f7(f899(x103151),f899(f899(x103151)),f899(f899(x103151))),f142(f899(x103151))),f104(f899(x103151)))))),x103153))))),f170(x103151,f318(f318(f142(f899(x103151)),f318(f318(f142(x103151),x103152),x103154)),x103153)))+~P1(f318(f306(f899(f899(x103151)),f171(x103151)),f318(f318(f142(f899(x103151)),f318(f318(f142(x103151),x103152),x103154)),x103153)))
% 182.20/182.07 [10356]~P1(f318(f28(x103562),f318(f253(x103562),x103564)))+P1(f318(f28(x103561),f318(f253(x103561),f318(f318(f8(f905(x103562,a894),a894,x103561),f82(x103562)),f318(f318(f7(x103561,f905(x103562,a894),f905(x103562,a894)),f318(f318(f8(f905(x103562,f905(a894,a894)),f905(f905(x103562,a894),f905(x103562,a894)),x103561),f18(x103562,a894,a894)),f318(f318(f8(f905(x103562,a894),f905(x103562,f905(a894,a894)),x103561),f318(f8(a894,f905(a894,a894),x103562),a316)),f318(f318(f7(x103561,f905(x103562,x103561),f905(x103562,a894)),f318(f318(f8(f905(x103561,a894),f905(f905(x103562,x103561),f905(x103562,a894)),x103561),f8(x103561,a894,x103562)),a315)),x103563)))),x103564)))))
% 182.20/182.07 [8869]P24(x88691,x88692,x88693,x88694)+~P25(x88691,x88692,x88693,x88694,x88695)
% 182.20/182.07 [5330]E(x53301,x53302)+~E(f160(x53303,x53301,x53304),f160(x53303,x53302,x53305))
% 182.20/182.07 [5331]E(x53311,x53312)+~E(f117(x53313,x53314,x53311),f117(x53313,x53315,x53312))
% 182.20/182.07 [5332]E(x53321,x53322)+~E(f117(x53323,x53321,x53324),f117(x53323,x53322,x53325))
% 182.20/182.07 [8195]~E(f318(x81953,x81954),x81955)+E(f69(x81951,x81952,x81953,x81954,x81955),x81953)
% 182.20/182.07 [8727]~E(f69(x87274,x87275,x87271,x87272,x87273),x87271)+E(f318(x87271,x87272),x87273)
% 182.20/182.07 [9348]~P25(x93482,x93481,x93484,x93483,x93485)+P25(x93481,x93482,f72(x93482,x93481,x93483,x93484),x93485,x93483)
% 182.20/182.07 [9349]~P25(x93492,x93491,x93494,x93493,x93495)+P25(x93491,x93492,f86(x93492,x93491,x93493,x93494),x93495,x93493)
% 182.20/182.07 [6151]P1(f318(f241(x61511,x61512,x61513),x61514))+~P1(f318(f318(x61513,x61515),x61514))
% 182.20/182.07 [6153]P1(f318(f240(x61531,x61532,x61533),x61534))+~P1(f318(f318(x61533,x61534),x61535))
% 182.20/182.07 [6641]~E(x66415,f2(a90))+E(f318(f187(x66411,x66412,x66413,x66414),x66415),f115(x66412))
% 182.20/182.07 [6642]~E(x66425,f2(a90))+E(f318(f189(x66421,x66422,x66423,x66424),x66425),f106(x66422))
% 182.20/182.07 [6782]~E(x67823,f2(a90))+E(f318(f264(x67821,x67822,x67823,x67824),x67825),f318(f243(x67821,x67822),x67825))
% 182.20/182.07 [7844]~P20(x78444,x78441,x78442,x78445)+E(f318(f67(x78441,x78441,x78441,f318(x78442,x78443)),f318(x78442,x78443)),f318(x78442,x78443))
% 182.20/182.07 [8236]~P16(x82365,x82361,x82362)+E(f318(f67(x82361,x82361,x82361,f318(x82362,x82363)),f318(x82362,x82364)),f318(f67(x82361,x82361,x82361,f318(x82362,x82364)),f318(x82362,x82363)))
% 182.20/182.07 [8562]P1(f318(f318(f320(f904(x85621,x85621)),f318(f318(f243(x85621,x85621),x85622),x85623)),f312(x85621,x85624,x85625)))+~P1(f318(f318(f227(a898),f318(x85624,x85622)),f318(x85624,x85623)))
% 182.20/182.07 [8655]~P1(f318(f318(f320(x86554),x86553),f290(x86554,x86551,x86552,x86555)))+P1(f318(f318(x86551,x86552),x86553))
% 182.20/182.07 [8656]~P1(f318(f318(f320(x86564),x86563),f281(x86564,x86561,x86562,x86565)))+P1(f318(f318(x86561,x86562),x86563))
% 182.20/182.07 [8657]~P1(f318(f318(f320(x86574),x86572),f290(x86574,x86571,x86575,x86573)))+P1(f318(f318(x86571,x86572),x86573))
% 182.20/182.07 [8658]~P1(f318(f318(f320(x86584),x86582),f281(x86584,x86581,x86585,x86583)))+P1(f318(f318(x86581,x86582),x86583))
% 182.20/182.07 [8739]~P25(x87391,x87393,x87395,x87392,x87394)+E(f318(f29(x87391),x87392),f318(f29(x87393),x87394))
% 182.20/182.07 [8787]~P25(x87871,x87872,x87873,x87874,x87875)+E(f318(f301(x87871,x87872,x87873),x87874),x87875)
% 182.20/182.07 [8807]~P55(x88072,x88071,x88075,x88073,x88074)+E(f318(f301(x88071,x88072,x88073),x88074),f233(f905(x88072,a894)))
% 182.20/182.07 [9256]~P33(x92561,x92562,x92563,x92564,x92565)+P33(x92561,x92562,x92563,f318(f159(x92561),x92564),f318(f159(x92562),x92565))
% 182.20/182.07 [9258]~P33(x92581,x92582,x92583,f318(f159(x92581),x92584),x92585)+P33(x92581,x92582,x92583,x92584,f318(f159(x92582),x92585))
% 182.20/182.07 [9259]~P33(x92591,x92592,x92593,x92594,f318(f159(x92592),x92595))+P33(x92591,x92592,x92593,f318(f159(x92591),x92594),x92595)
% 182.20/182.07 [9265]P33(x92651,x92652,x92653,x92654,x92655)+~P33(x92651,x92652,x92653,f318(f159(x92651),x92654),f318(f159(x92652),x92655))
% 182.20/182.07 [9677]P1(f318(f318(f320(f904(f899(x96771),f899(x96771))),f318(f318(f243(f899(x96771),f899(x96771)),f318(f318(f142(x96771),x96772),x96773)),f318(f318(f142(x96771),x96772),x96774))),f148(x96771,x96775)))+~P1(f318(f318(f320(f904(f899(x96771),f899(x96771))),f318(f318(f243(f899(x96771),f899(x96771)),x96773),x96774)),f148(x96771,x96775)))
% 182.20/182.07 [9678]P1(f318(f318(f320(f904(f899(x96781),f899(x96781))),f318(f318(f243(f899(x96781),f899(x96781)),f318(f318(f125(x96781),x96782),x96783)),f318(f318(f125(x96781),x96782),x96784))),f138(x96781,x96785)))+~P1(f318(f318(f320(f904(f899(x96781),f899(x96781))),f318(f318(f243(f899(x96781),f899(x96781)),x96783),x96784)),f138(x96781,x96785)))
% 182.20/182.07 [9873]E(f318(f318(f142(x98731),f629(x98732,x98733,x98734,x98735,x98731)),f630(x98732,x98733,x98734,x98735,x98731)),x98735)+~P1(f318(f318(f320(f904(f899(x98731),f899(x98731))),f318(f318(f243(f899(x98731),f899(x98731)),x98735),f318(f318(f142(x98731),x98734),x98733))),f149(x98731,x98732)))
% 182.20/182.07 [9894]E(f318(f318(f142(x98941),f631(x98942,x98943,x98944,x98945,x98941)),f632(x98942,x98943,x98944,x98945,x98941)),x98943)+~P1(f318(f318(f320(f904(f899(x98941),f899(x98941))),f318(f318(f243(f899(x98941),f899(x98941)),f318(f318(f142(x98941),x98945),x98944)),x98943)),f149(x98941,x98942)))
% 182.20/182.07 [10038]~P1(f318(f318(f320(f904(f899(x100381),f899(x100381))),f318(f318(f243(f899(x100381),f899(x100381)),f318(f318(f142(x100381),x100385),x100382)),x100384)),f149(x100381,x100383)))+P1(f318(f318(f320(f904(f899(x100381),f899(x100381))),f318(f318(f243(f899(x100381),f899(x100381)),x100382),f632(x100383,x100384,x100382,x100385,x100381))),f149(x100381,x100383)))
% 182.20/182.07 [10118]~P1(f318(f318(f320(f904(f899(x101181),f899(x101181))),f318(f318(f243(f899(x101181),f899(x101181)),x101185),f318(f318(f142(x101181),x101184),x101183))),f149(x101181,x101182)))+P1(f318(f318(f320(f904(f899(x101181),f899(x101181))),f318(f318(f243(f899(x101181),f899(x101181)),f630(x101182,x101183,x101184,x101185,x101181)),x101183)),f149(x101181,x101182)))
% 182.20/182.07 [10309]P1(f318(f318(f320(f904(x103091,x103091)),f318(f318(f243(x103091,x103091),f318(x103092,f318(f318(f75(a898),x103093),x103094))),f318(x103092,x103093))),f298(x103091,x103095)))+~P1(f318(f318(f320(f904(x103091,x103091)),f318(f318(f243(x103091,x103091),f318(x103092,f318(a103,f556(x103094,x103093,x103095,x103092,x103091)))),f318(x103092,f556(x103094,x103093,x103095,x103092,x103091)))),f298(x103091,x103095)))
% 182.20/182.07 [5304]E(x53041,x53042)+~E(f318(f318(f142(x53043),x53044),x53041),f318(f318(f142(x53043),x53045),x53042))
% 182.20/182.07 [5305]E(x53051,x53052)+~E(f318(f318(f142(x53053),x53051),x53054),f318(f318(f142(x53053),x53052),x53055))
% 182.20/182.07 [5347]P1(f318(x53471,x53472))+~E(f318(f127(x53473,x53471),x53474),f318(f318(f142(x53473),x53472),x53475))
% 182.20/182.07 [5348]P1(f318(x53481,x53482))+~E(f318(f318(f142(x53483),x53482),x53484),f318(f127(x53483,x53481),x53485))
% 182.20/182.07 [5509]~E(f318(f318(f129(x55091),x55093),x55092),f318(f318(f142(x55091),x55094),x55095))+E(f318(f318(f155(x55091),x55092),x55093),x55094)
% 182.20/182.07 [5649]~P14(x56494,x56495,x56491)+E(f318(f318(x56491,x56492),f318(f318(x56491,x56492),x56493)),f318(f318(x56491,x56492),x56493))
% 182.20/182.07 [6210]~E(x62104,f2(a90))+E(f318(f318(f108(x62101,x62102,x62103),x62104),x62105),f318(f318(f243(f899(x62102),x62101),f104(x62102)),x62105))
% 182.20/182.07 [6284]~P82(x62842)+~E(f318(f318(f139(x62841,x62842,x62843),x62844),x62845),f104(x62841))
% 182.20/182.07 [6682]E(x66821,x66822)+~E(f318(f318(f125(x66823),x66824),f318(f318(f142(x66823),x66821),f104(x66823))),f318(f318(f125(x66823),x66825),f318(f318(f142(x66823),x66822),f104(x66823))))
% 182.20/182.07 [6683]E(x66831,x66832)+~E(f318(f318(f125(x66833),x66831),f318(f318(f142(x66833),x66834),f104(x66833))),f318(f318(f125(x66833),x66832),f318(f318(f142(x66833),x66835),f104(x66833))))
% 182.20/182.07 [7005]E(f318(f318(f300(x70051),f318(x70052,x70053)),f318(f301(x70054,x70051,x70052),x70055)),f318(f301(x70054,x70051,x70052),x70055))+~P1(f318(f318(f320(x70054),x70053),x70055))
% 182.20/182.07 [7012]~P1(f318(x70124,f318(x70123,x70125)))+P1(f318(f318(f302(x70121,x70122,x70123),x70124),x70125))
% 182.20/182.07 [7015]~P1(f318(f318(x70153,x70155),x70154))+P1(f318(f318(f234(x70151,x70152,x70153),x70154),x70155))
% 182.20/182.07 [7112]~E(f318(f301(x71121,x71122,x71123),x71124),x71125)+E(f318(f301(f905(x71121,a894),f905(x71122,a894),f301(x71121,x71122,x71123)),f318(f299(x71121),x71124)),f318(f299(x71122),x71125))
% 182.20/182.07 [7140]E(f318(f262(x71401,x71402,x71403,x71404),x71405),f318(x71404,x71405))+~P1(f318(f318(f320(x71401),x71405),x71403))
% 182.20/182.07 [7454]P24(x74541,x74542,x74543,x74544)+~P24(x74541,x74542,x74543,f318(f318(f300(x74541),x74545),x74544))
% 182.20/182.07 [7559]~P1(f318(f318(f320(x75594),x75593),x75595))+P1(f318(f318(f320(x75591),f318(x75592,x75593)),f318(f301(x75594,x75591,x75592),x75595)))
% 182.20/182.07 [7580]~P82(x75802)+E(f141(x75801,x75802,x75803,f318(f127(x75801,x75804),x75805)),f318(f127(x75801,x75804),f141(x75801,x75802,x75803,x75805)))
% 182.20/182.07 [7611]P1(f318(x76111,f318(x76112,x76113)))+~P1(f318(f318(f302(x76114,x76115,x76112),x76111),x76113))
% 182.20/182.07 [7614]P1(f318(f318(x76141,x76142),x76143))+~P1(f318(f318(f234(x76144,x76145,x76141),x76143),x76142))
% 182.20/182.07 [7679]~P1(f318(f318(f320(x76793),f318(x76794,x76792)),x76795))+P1(f318(f318(f320(x76791),x76792),f318(f302(x76791,x76793,x76794),x76795)))
% 182.20/182.07 [8077]~P1(f318(f318(f320(x80775),x80773),f318(f302(x80775,x80771,x80772),x80774)))+P1(f318(f318(f320(x80771),f318(x80772,x80773)),x80774))
% 182.20/182.07 [8376]~P16(x83762,x83761,x83763)+E(f318(f133(x83761,x83762,f318(f7(x83762,x83761,x83761),x83763),x83764),f143(x83762,x83765)),f318(f318(f58(x83762,x83761,x83763),x83764),f318(f163(x83762),x83765)))
% 182.20/182.07 [8398]E(f318(x83981,f548(x83982,x83981,x83983,x83984)),x83984)+~P1(f318(f318(f320(x83985),x83984),f318(f301(x83983,x83985,x83981),x83982)))
% 182.20/182.07 [8399]E(f318(x83991,f864(x83992,x83991,x83993,x83994)),x83994)+~P1(f318(f318(f320(x83995),x83994),f318(f301(x83993,x83995,x83991),x83992)))
% 182.20/182.07 [8702]~E(x87022,f318(f318(f142(x87021),x87024),x87025))+P1(f318(f318(f320(f904(f899(x87021),f899(x87021))),f318(f318(f243(f899(x87021),f899(x87021)),f104(x87021)),x87022)),f138(x87021,x87023)))
% 182.20/182.07 [8748]E(f318(x87481,f318(f86(x87482,x87483,x87484,x87481),x87485)),x87485)+~P1(f318(f318(f320(x87483),x87485),f318(f301(x87482,x87483,x87481),x87484)))
% 182.20/182.07 [8751]P24(x87511,x87512,f86(x87512,x87511,x87513,x87514),x87515)+~P1(f318(f318(f226(f905(x87511,a894)),x87515),f318(f301(x87512,x87511,x87514),x87513)))
% 182.20/182.07 [8758]~P33(x87581,x87583,x87585,x87582,x87584)+E(f318(f180(f899(x87581)),x87582),f318(f180(f899(x87583)),x87584))
% 182.20/182.07 [8769]P1(f318(f318(f226(f905(x87691,a894)),f318(f318(f35(x87692,f905(x87691,a894)),x87693),x87694)),f318(x87694,x87695)))+~P1(f318(f318(f320(x87692),x87695),x87693))
% 182.20/182.07 [8823]~P55(x88231,x88232,x88233,x88235,x88234)+E(f318(f301(x88231,x88232,x88233),f233(f905(x88231,a894))),x88234)
% 182.20/182.07 [9050]E(f318(f127(x90501,x90502),f721(x90503,x90504,x90505,x90502,x90501)),x90503)+~E(f318(f127(x90501,x90502),x90505),f318(f318(f142(x90501),x90504),x90503))
% 182.20/182.07 [9051]E(f318(f127(x90511,x90512),f724(x90513,x90512,x90514,x90515,x90511)),x90514)+~E(f318(f318(f142(x90511),x90515),x90514),f318(f127(x90511,x90512),x90513))
% 182.20/182.07 [9144]E(f318(f180(f899(x91441)),x91442),x91443)+~P1(f318(f318(f320(f904(f899(x91441),f899(x91441))),f318(f318(f243(f899(x91441),f899(x91441)),x91444),x91442)),f318(f134(x91441,x91445),x91443)))
% 182.20/182.07 [9145]E(f318(f180(f899(x91451)),x91452),x91453)+~P1(f318(f318(f320(f904(f899(x91451),f899(x91451))),f318(f318(f243(f899(x91451),f899(x91451)),x91452),x91454)),f318(f134(x91451,x91455),x91453)))
% 182.20/182.07 [9214]P1(f318(f318(f320(x92141),f548(x92142,x92143,x92141,x92144)),x92142))+~P1(f318(f318(f320(x92145),x92144),f318(f301(x92141,x92145,x92143),x92142)))
% 182.20/182.07 [9215]P1(f318(f318(f320(x92151),f864(x92152,x92153,x92151,x92154)),x92152))+~P1(f318(f318(f320(x92155),x92154),f318(f301(x92151,x92155,x92153),x92152)))
% 182.20/182.07 [9375]E(f318(f301(x93751,x93752,x93753),f660(x93754,x93753,x93751,x93755,x93752)),x93755)+~P1(f318(f318(f226(f905(x93752,a894)),x93755),f318(f301(x93751,x93752,x93753),x93754)))
% 182.20/182.07 [9695]P1(f318(f318(f320(f904(f899(x96951),f899(x96951))),f318(f318(f243(f899(x96951),f899(x96951)),f318(f318(f142(x96951),x96952),x96953)),f318(f318(f142(x96951),x96952),x96954))),f298(f899(x96951),f148(x96951,x96955))))+~P1(f318(f318(f320(f904(f899(x96951),f899(x96951))),f318(f318(f243(f899(x96951),f899(x96951)),x96953),x96954)),f298(f899(x96951),f148(x96951,x96955))))
% 182.20/182.07 [9726]~E(f318(x97263,f674(x97265,x97264,x97263,x97262,x97261)),f318(x97265,f674(x97265,x97264,x97263,x97262,x97261)))+E(f318(f318(f145(x97261,x97262),x97263),x97264),f318(f318(f145(x97261,x97262),x97265),x97264))
% 182.20/182.07 [9801]~E(f318(f127(x98011,x98015),x98014),f318(f318(f142(x98011),x98013),x98012))+E(f318(f318(f125(x98011),f722(x98012,x98013,x98014,x98015,x98011)),f318(f318(f142(x98011),x98013),f721(x98012,x98013,x98014,x98015,x98011))),x98014)
% 182.20/182.07 [9802]~E(f318(f318(f142(x98021),x98025),x98024),f318(f127(x98021,x98023),x98022))+E(f318(f318(f125(x98021),f727(x98022,x98023,x98024,x98025,x98021)),f318(f318(f142(x98021),x98025),f724(x98022,x98023,x98024,x98025,x98021))),x98022)
% 182.20/182.07 [9806]E(f318(f318(f145(x98061,x98062),x98063),x98064),f318(f318(f145(x98061,x98062),x98065),x98064))+P1(f318(f318(f320(x98061),f674(x98063,x98064,x98065,x98062,x98061)),f318(f163(x98061),x98064)))
% 182.20/182.07 [9836]~P1(f318(f318(f320(x98365),x98364),f318(f276(x98361,x98365,x98363),x98362)))+P1(f318(f318(f320(x98361),f464(x98362,x98363,x98361,x98364,x98365)),x98362))
% 182.20/182.07 [9837]~P1(f318(f318(f320(x98375),x98374),f318(f276(x98371,x98375,x98373),x98372)))+P1(f318(f318(f320(x98371),f469(x98372,x98373,x98371,x98374,x98375)),x98372))
% 182.20/182.07 [9867]~P1(f318(f318(f226(f905(x98675,a894)),x98674),f318(f301(x98671,x98675,x98673),x98672)))+P1(f318(f318(f226(f905(x98671,a894)),f660(x98672,x98673,x98671,x98674,x98675)),x98672))
% 182.20/182.07 [10310]E(x103101,f2(a90))+E(f214(f904(f899(x103102),x103103),f904(x103102,x103103),f318(f318(f243(f899(x103102),x103103),f104(x103102)),x103104),f318(f248(x103102,x103103,f904(f899(x103102),x103103)),f318(f318(f7(x103102,f905(x103103,f904(f899(x103102),x103103)),f905(x103103,f904(f899(x103102),x103103))),f318(f318(f8(f905(f904(f899(x103102),x103103),f904(f899(x103102),x103103)),f905(f905(x103103,f904(f899(x103102),x103103)),f905(x103103,f904(f899(x103102),x103103))),x103102),f8(f904(f899(x103102),x103103),f904(f899(x103102),x103103),x103103)),f318(f318(f8(f905(f899(x103102),f905(x103103,f904(f899(x103102),x103103))),f905(f904(f899(x103102),x103103),f904(f899(x103102),x103103)),x103102),f248(f899(x103102),x103103,f904(f899(x103102),x103103))),f318(f318(f8(f905(f899(x103102),f899(x103102)),f905(f899(x103102),f905(x103103,f904(f899(x103102),x103103))),x103102),f318(f8(f899(x103102),f905(x103103,f904(f899(x103102),x103103)),f899(x103102)),f243(f899(x103102),x103103))),f142(x103102))))),f318(f108(x103103,x103102,x103105),f318(f318(f23(a90),x103101),f73(a90))))),f318(x103105,x103104)),f318(f318(f108(x103103,x103102,x103105),x103101),x103104))
% 182.20/182.07 [6088]E(x60881,x60882)+~E(f318(f247(x60883,x60884),f318(f318(f243(x60883,x60884),x60885),x60881)),x60882)
% 182.20/182.07 [6089]E(x60891,x60892)+~E(f318(f242(x60893,x60894),f318(f318(f243(x60893,x60894),x60891),x60895)),x60892)
% 182.20/182.07 [6360]~E(x63603,f318(f318(f125(x63601),x63604),f318(f318(f142(x63601),x63602),x63605)))+P1(f318(f318(f320(x63601),x63602),f318(f163(x63601),x63603)))
% 182.20/182.07 [6769]E(f318(f301(x67691,x67692,f318(f16(x67692,x67691),x67693)),x67694),f318(f318(f300(x67692),x67693),f179(f905(x67692,a894))))+~P1(f318(f318(f320(x67691),x67695),x67694))
% 182.20/182.07 [6843]E(f318(f318(f101(f905(x68431,a894)),f318(f163(x68431),x68432)),f318(f163(x68431),x68433)),f318(f163(x68431),x68434))+~E(f157(x68431,x68435,x68434),f318(f318(f243(f899(x68431),f899(x68431)),x68432),x68433))
% 182.20/182.07 [6944]~P82(x69442)+E(f318(f180(f899(x69441)),f318(f318(f139(x69441,x69442,x69443),x69444),x69445)),f318(a103,f318(f180(f899(x69441)),x69445)))
% 182.20/182.07 [6958]~P82(x69582)+E(f318(f163(x69581),f318(f318(f139(x69581,x69582,x69583),x69584),x69585)),f318(f318(f300(x69581),x69584),f318(f163(x69581),x69585)))
% 182.20/182.07 [7234]~P111(x72341)+E(f318(f318(f75(x72341),f318(f318(f75(x72341),x72342),x72343)),f318(f318(f75(x72341),x72344),x72345)),f318(f318(f75(x72341),f318(f318(f75(x72341),x72342),x72344)),f318(f318(f75(x72341),x72343),x72345)))
% 182.20/182.07 [7235]~P111(x72351)+E(f318(f318(f76(x72351),f318(f318(f76(x72351),x72352),x72353)),f318(f318(f76(x72351),x72354),x72355)),f318(f318(f76(x72351),f318(f318(f76(x72351),x72352),x72354)),f318(f318(f76(x72351),x72353),x72355)))
% 182.20/182.07 [7236]~P60(x72361)+E(f318(f318(f282(x72361),f318(f318(f76(x72361),x72362),x72363)),f318(f318(f76(x72361),x72364),x72365)),f318(f318(f76(x72361),f318(f318(f282(x72361),x72362),x72364)),f318(f318(f282(x72361),x72363),x72365)))
% 182.20/182.07 [7250]~P82(x72501)+E(f294(x72501,f318(f318(f225(x72501),x72502),x72503),f318(f318(f224(x72501),x72504),x72505)),f318(f318(f92(f905(x72501,a894)),f294(x72501,x72502,x72504)),f294(x72501,x72503,x72505)))
% 182.20/182.07 [7251]~P82(x72511)+E(f297(x72511,f318(f318(f225(x72511),x72512),x72513),f318(f318(f224(x72511),x72514),x72515)),f318(f318(f92(f905(x72511,a894)),f297(x72511,x72512,x72514)),f297(x72511,x72513,x72515)))
% 182.20/182.07 [7252]~P82(x72521)+E(f296(x72521,f318(f318(f225(x72521),x72522),x72523),f318(f318(f224(x72521),x72524),x72525)),f318(f318(f92(f905(x72521,a894)),f296(x72521,x72522,x72524)),f296(x72521,x72523,x72525)))
% 182.20/182.07 [7253]~P82(x72531)+E(f318(f318(f92(f905(x72531,a894)),f318(f293(x72531,x72532),x72533)),f318(f293(x72531,x72534),x72535)),f318(f293(x72531,f318(f318(f225(x72531),x72532),x72534)),f318(f318(f224(x72531),x72533),x72535)))
% 182.20/182.07 [7373]~P1(f318(x73731,f451(x73733,x73732,x73731)))+P1(f318(x73731,f318(f318(f243(x73732,x73733),x73734),x73735)))
% 182.20/182.07 [7485]~E(x74852,f318(x74854,x74855))+P1(f318(f318(f320(x74851),x74852),f318(f301(x74853,x74851,x74854),f233(f905(x74853,a894)))))
% 182.20/182.07 [7557]~P14(x75573,x75572,x75574)+P14(x75571,x75572,f318(f318(f8(x75573,f905(x75572,x75572),x75571),x75574),x75575))
% 182.20/182.07 [7558]~P16(x75583,x75582,x75584)+P16(x75581,x75582,f318(f318(f8(x75583,f905(x75582,x75582),x75581),x75584),x75585))
% 182.20/182.07 [7696]~P24(x76961,x76962,x76963,x76964)+P24(x76961,x76962,x76963,f318(f318(f23(f905(x76961,a894)),x76964),x76965))
% 182.20/182.07 [7853]~P1(f318(f318(x78533,x78534),x78535))+P1(f318(f318(f248(x78531,x78532,a894),x78533),f318(f318(f243(x78531,x78532),x78534),x78535)))
% 182.20/182.07 [7967]~P1(f318(x79672,x79674))+~E(f318(f318(f129(x79671),f318(f180(f899(x79671)),f168(x79671,x79672,x79673))),x79673),f318(f318(f142(x79671),x79674),x79675))
% 182.20/182.07 [7987]P24(x79871,x79872,x79873,x79874)+~P24(x79871,x79872,x79873,f318(f318(f101(f905(x79871,a894)),x79875),x79874))
% 182.20/182.07 [7988]P24(x79881,x79882,x79883,x79884)+~P24(x79881,x79882,x79883,f318(f318(f101(f905(x79881,a894)),x79884),x79885))
% 182.20/182.07 [8035]~P82(x80352)+E(f318(f318(f139(x80351,x80352,x80353),x80354),f141(x80351,x80352,x80353,x80355)),f141(x80351,x80352,x80353,f318(f318(f142(x80351),x80354),x80355)))
% 182.20/182.07 [8353]~P14(x83532,x83531,x83533)+E(f318(f133(x83531,x83532,f318(f7(x83532,x83531,x83531),x83533),x83534),x83535),f318(f318(f58(x83532,x83531,x83533),x83534),f318(f163(x83532),x83535)))
% 182.20/182.07 [8381]~E(f318(f318(f129(x83811),f318(f180(f899(x83811)),f168(x83811,x83812,x83813))),x83813),f318(f318(f142(x83811),x83814),x83815))+E(f318(f318(f125(x83811),f168(x83811,x83812,x83813)),f318(f318(f142(x83811),x83814),x83815)),x83813)
% 182.20/182.07 [8409]P1(f318(f318(x84091,x84092),x84093))+~P1(f318(f318(f248(x84094,x84095,a894),x84091),f318(f318(f243(x84094,x84095),x84092),x84093)))
% 182.20/182.07 [8886]P1(f318(f318(f226(f905(x88861,a894)),f318(f301(x88862,x88861,x88863),x88864)),f318(f301(x88862,x88861,x88863),x88865)))+~P1(f318(f318(f226(f905(x88862,a894)),x88864),x88865))
% 182.20/182.07 [8887]P1(f318(f318(f226(f905(x88871,a894)),f318(f302(x88871,x88872,x88873),x88874)),f318(f302(x88871,x88872,x88873),x88875)))+~P1(f318(f318(f226(f905(x88872,a894)),x88874),x88875))
% 182.20/182.07 [8966]E(x89661,f2(a90))+E(f318(f318(f250(x89662,x89663,x89662,f904(x89663,x89662)),f318(x89664,x89665)),f264(x89663,x89662,f318(f318(f23(a90),x89661),f73(a90)),x89664)),f318(f264(x89663,x89662,x89661,x89664),x89665))
% 182.20/182.07 [9077]P1(f318(f318(f246(x90771,x90772,a894,x90773),x90774),x90775))+~P1(f318(x90773,f318(f318(f243(x90771,x90772),x90774),x90775)))
% 182.20/182.07 [9354]~P1(f318(f318(f246(x93542,x93543,a894,x93541),x93544),x93545))+P1(f318(x93541,f318(f318(f243(x93542,x93543),x93544),x93545)))
% 182.20/182.07 [9538]~P1(f318(f318(f320(x95382),x95385),f318(f301(x95381,x95382,x95384),x95383)))+P1(f318(f318(f320(x95381),f318(f86(x95381,x95382,x95383,x95384),x95385)),x95383))
% 182.20/182.07 [9637]~P1(f318(f28(x96373),f318(f301(x96372,x96373,x96375),f233(f905(x96372,a894)))))+P1(f318(f28(x96371),f318(f301(x96372,x96371,f318(f318(f8(x96373,x96371,x96372),x96374),x96375)),f233(f905(x96372,a894)))))
% 182.20/182.07 [9662]P1(f318(f318(f226(f905(f905(x96621,a894),a894)),f318(f301(f905(x96622,a894),f905(x96621,a894),f301(x96622,x96621,x96623)),f318(f299(x96622),x96624))),f318(f299(x96621),x96625)))+~P1(f318(f318(f226(f905(x96621,a894)),f318(f301(x96622,x96621,x96623),x96624)),x96625))
% 182.20/182.07 [9734]E(x97341,x97342)+~P1(f318(f60(x97343,x97344,x97345,x97341,f179(f905(x97343,a894))),x97342))
% 182.20/182.07 [9750]E(f318(f318(f243(x97501,x97502),f510(x97503,x97504,x97505,x97502,x97501)),f512(x97503,x97504,x97505,x97502,x97501)),x97505)+~P1(f318(f318(f320(f904(x97501,x97502)),x97505),f318(f318(f245(x97501,x97502),x97504),x97503)))
% 182.20/182.07 [9842]P1(f318(f318(f320(x98421),f510(x98422,x98423,x98424,x98425,x98421)),x98423))+~P1(f318(f318(f320(f904(x98421,x98425)),x98424),f318(f318(f245(x98421,x98425),x98423),x98422)))
% 182.20/182.07 [9997]P1(f318(f318(f320(x99971),f512(x99972,x99973,x99974,x99971,x99975)),f318(x99972,f510(x99972,x99973,x99974,x99971,x99975))))+~P1(f318(f318(f320(f904(x99975,x99971)),x99974),f318(f318(f245(x99975,x99971),x99973),x99972)))
% 182.20/182.07 [10017]P1(f318(f318(f320(f904(x100171,x100171)),f318(f318(f243(x100171,x100171),x100172),f578(x100173,x100174,x100175,x100172,x100171))),x100173))+~P1(f318(f318(f320(f904(x100171,x100171)),f318(f318(f243(x100171,x100171),x100172),x100175)),f318(f318(f174(f904(x100171,x100171),a894),f318(a103,x100174)),x100173)))
% 182.20/182.07 [10018]P1(f318(f318(f320(f904(x100181,x100181)),f318(f318(f243(x100181,x100181),x100182),f580(x100183,x100184,x100185,x100182,x100181))),x100183))+~P1(f318(f318(f320(f904(x100181,x100181)),f318(f318(f243(x100181,x100181),x100182),x100185)),f318(f318(f174(f904(x100181,x100181),a894),f318(a103,x100184)),x100183)))
% 182.20/182.07 [10035]~P1(f318(f318(f320(f904(f899(x100351),f899(x100351))),f318(f318(f243(f899(x100351),f899(x100351)),f318(f318(f142(x100351),x100352),x100355)),x100354)),f149(x100351,x100353)))+P1(f318(f318(f320(f904(x100351,x100351)),f318(f318(f243(x100351,x100351),x100352),f631(x100353,x100354,x100355,x100352,x100351))),x100353))
% 182.20/182.07 [6440]P1(f318(x64402,x64404))+E(f168(x64401,x64402,f318(f318(f125(x64401),x64403),f318(f318(f142(x64401),x64404),x64405))),f168(x64401,x64402,x64403))
% 182.20/182.07 [6489]~P66(x64892)+E(f318(f318(f318(f23(f905(x64891,x64892)),x64893),x64894),x64895),f318(f318(f23(x64892),f318(x64893,x64895)),f318(x64894,x64895)))
% 182.20/182.07 [6491]~P83(x64912)+E(f318(f318(f318(f92(f905(x64911,x64912)),x64913),x64914),x64915),f318(f318(f92(x64912),f318(x64913,x64915)),f318(x64914,x64915)))
% 182.20/182.07 [6493]~P83(x64932)+E(f318(f318(f318(f101(f905(x64931,x64932)),x64933),x64934),x64935),f318(f318(f101(x64932),f318(x64933,x64935)),f318(x64934,x64935)))
% 182.20/182.07 [6513]E(x65131,x65132)+E(f318(f318(f155(x65133),f318(f318(f150(x65133,x65134),x65131),x65135)),x65132),f318(f318(f155(x65133),x65134),x65132))
% 182.20/182.07 [6787]~E(x67874,f179(f905(x67873,a894)))+E(f318(f318(f23(f905(x67871,a894)),x67872),f318(f318(f34(x67873,f905(x67871,a894)),x67874),x67875)),x67872)
% 182.20/182.07 [6788]~E(x67884,f179(f905(x67883,a894)))+E(f318(f318(f92(f905(x67881,a894)),x67882),f318(f318(f35(x67883,f905(x67881,a894)),x67884),x67885)),x67882)
% 182.20/182.07 [6789]~E(x67894,f179(f905(x67893,a894)))+E(f318(f318(f101(f905(x67891,a894)),x67892),f318(f318(f34(x67893,f905(x67891,a894)),x67894),x67895)),x67892)
% 182.20/182.07 [6805]~E(x68054,f179(f905(x68053,a894)))+E(f318(f318(f300(x68051),x68052),f318(f318(f34(x68053,f905(x68051,a894)),x68054),x68055)),f318(f318(f300(x68051),x68052),f179(f905(x68051,a894))))
% 182.20/182.07 [7603]E(f318(f318(f155(x76031),f318(f318(f145(x76032,x76031),x76033),x76034)),x76035),f318(x76033,f318(f318(f155(x76032),x76034),x76035)))+~P1(f318(f318(f227(a898),x76035),f318(f180(f899(x76032)),x76034)))
% 182.20/182.07 [7667]E(f318(f318(f92(f905(x76671,a894)),f318(x76672,x76673)),f318(f318(f35(x76674,f905(x76671,a894)),x76675),x76672)),f318(f318(f35(x76674,f905(x76671,a894)),x76675),x76672))+~P1(f318(f318(f320(x76674),x76673),x76675))
% 182.20/182.07 [7668]E(f318(f318(f101(f905(x76681,a894)),f318(x76682,x76683)),f318(f318(f34(x76684,f905(x76681,a894)),x76685),x76682)),f318(f318(f34(x76684,f905(x76681,a894)),x76685),x76682))+~P1(f318(f318(f320(x76684),x76683),x76685))
% 182.20/182.07 [8275]~E(x82753,f179(f905(x82751,a894)))+E(f318(f318(f34(x82751,f905(x82752,a894)),x82753),f318(f318(f8(f905(x82752,a894),f905(x82752,a894),x82751),f318(f300(x82752),x82754)),x82755)),f179(f905(x82752,a894)))
% 182.20/182.07 [8280]~P1(f318(f318(f320(x82804),x82803),x82805))+P1(f318(f318(f226(f905(x82801,a894)),f318(x82802,x82803)),f318(f318(f34(x82804,f905(x82801,a894)),x82805),x82802)))
% 182.20/182.07 [8408]~E(f318(x84084,x84082),x84085)+P1(f318(f318(f320(x84081),x84082),f318(f302(x84081,x84083,x84084),f318(f318(f300(x84083),x84085),f179(f905(x84083,a894))))))
% 182.20/182.07 [8455]~P53(x84551,x84552,f318(f277(x84552,x84551),x84553))+E(f318(f318(f92(f905(x84551,a894)),f318(f276(x84552,x84551,x84553),x84554)),f318(f276(x84552,x84551,x84553),x84555)),f318(f276(x84552,x84551,x84553),f318(f318(f92(f905(x84552,a894)),x84554),x84555)))
% 182.20/182.07 [8531]E(x85311,f2(a90))+E(f318(f109(x85312,x85313,f318(x85314,f318(f318(f23(a90),x85311),f73(a90)))),f318(f318(f7(x85312,a90,f900(x85313)),x85315),x85311)),f318(f189(x85312,x85313,x85314,x85315),x85311))
% 182.20/182.07 [8569]E(x85691,f179(f905(x85692,a894)))+E(f318(f318(f34(x85692,f905(x85693,a894)),x85691),f318(f318(f8(f905(x85693,a894),f905(x85693,a894),x85692),f318(f300(x85693),x85694)),x85695)),f318(f318(f300(x85693),x85694),f318(f318(f34(x85692,f905(x85693,a894)),x85691),x85695)))
% 182.20/182.07 [8620]~P24(x86202,x86201,x86203,f233(f905(x86202,a894)))+E(f318(f318(f23(f905(x86201,a894)),f318(f301(x86202,x86201,x86203),x86204)),f318(f301(x86202,x86201,x86203),x86205)),f318(f301(x86202,x86201,x86203),f318(f318(f23(f905(x86202,a894)),x86204),x86205)))
% 182.20/182.07 [8621]~P24(x86212,x86211,x86213,f233(f905(x86212,a894)))+E(f318(f318(f92(f905(x86211,a894)),f318(f301(x86212,x86211,x86213),x86214)),f318(f301(x86212,x86211,x86213),x86215)),f318(f301(x86212,x86211,x86213),f318(f318(f92(f905(x86212,a894)),x86214),x86215)))
% 182.20/182.07 [8689]~P1(f318(f318(f61(x86891,x86892,x86895),x86893),x86894))+P1(f318(f318(f320(f904(x86891,x86892)),f318(f318(f243(x86891,x86892),x86893),x86894)),x86895))
% 182.20/182.07 [8721]P1(f318(f318(f320(x87211),x87212),f318(f275(x87213,x87211),x87214)))+~P1(f318(f318(f320(f904(x87213,x87211)),f318(f318(f243(x87213,x87211),x87215),x87212)),x87214))
% 182.20/182.07 [8723]P1(f318(f318(f320(x87231),x87232),f318(f255(x87231,x87233),x87234)))+~P1(f318(f318(f320(f904(x87231,x87233)),f318(f318(f243(x87231,x87233),x87232),x87235)),x87234))
% 182.20/182.07 [8870]P1(f318(f318(f61(x88701,x88702,x88703),x88704),x88705))+~P1(f318(f318(f320(f904(x88701,x88702)),f318(f318(f243(x88701,x88702),x88704),x88705)),x88703))
% 182.20/182.07 [8909]E(f318(x89091,x89092),x89093)+~P1(f318(f318(f320(x89094),x89092),f318(f302(x89094,x89095,x89091),f318(f318(f300(x89095),x89093),f179(f905(x89095,a894))))))
% 182.20/182.07 [9141]P1(f318(f318(f320(f904(x91411,x91412)),f318(f318(f243(x91411,x91412),x91413),x91414)),f318(f277(x91412,x91411),x91415)))+~P1(f318(f318(f320(f904(x91412,x91411)),f318(f318(f243(x91412,x91411),x91414),x91413)),x91415))
% 182.20/182.07 [9159]~P1(f318(f318(x91591,x91595),x91594))+P1(f318(f318(x91591,f318(f247(x91592,x91593),f318(f318(f243(x91592,x91593),x91594),x91595))),f318(f242(x91592,x91593),f318(f318(f243(x91592,x91593),x91594),x91595))))
% 182.20/182.07 [9189]~P1(f318(f318(f320(f904(x91892,x91891)),f318(f318(f243(x91892,x91891),x91894),x91893)),f318(f277(x91891,x91892),x91895)))+P1(f318(f318(f320(f904(x91891,x91892)),f318(f318(f243(x91891,x91892),x91893),x91894)),x91895))
% 182.20/182.07 [9222]~P1(f318(f318(f320(f904(x92223,x92221)),f318(f318(f243(x92223,x92221),x92225),x92222)),x92224))+P1(f318(f318(f320(x92221),x92222),f318(f276(x92223,x92221,x92224),f318(f318(f300(x92223),x92225),f179(f905(x92223,a894))))))
% 182.20/182.07 [9269]P1(f318(f318(f320(f904(x92691,x92692)),f318(f318(f243(x92691,x92692),x92693),x92694)),x92695))+~P1(f318(f318(f320(x92692),x92694),f318(f276(x92691,x92692,x92695),f318(f318(f300(x92691),x92693),f179(f905(x92691,a894))))))
% 182.20/182.07 [9361]~P74(x93611)+E(f318(f318(f6(a898,x93611),x93612),f294(a898,f318(f318(f75(a898),x93613),x93614),f318(f318(f75(a898),x93615),x93614))),f318(f318(f6(a898,x93611),f318(f318(f8(a898,x93611,a898),x93612),f318(f318(f7(a898,a898,a898),f75(a898)),x93614))),f294(a898,x93613,x93615)))
% 182.20/182.07 [9380]~P74(x93801)+E(f318(f318(f6(a898,x93801),x93802),f318(f293(a898,f318(f318(f75(a898),x93803),x93804)),f318(f318(f75(a898),x93805),x93804))),f318(f318(f6(a898,x93801),f318(f318(f8(a898,x93801,a898),x93802),f318(f318(f7(a898,a898,a898),f75(a898)),x93804))),f318(f293(a898,x93803),x93805)))
% 182.20/182.07 [9438]~P24(x94381,x94382,x94383,f233(f905(x94381,a894)))+E(f318(f318(f145(x94381,x94382),x94383),f318(f127(x94381,f318(f318(f8(a894,a894,x94381),a313),f318(a315,x94384))),x94385)),f318(f127(x94382,f318(f318(f8(a894,a894,x94382),a313),f318(a315,f318(x94383,x94384)))),f318(f318(f145(x94381,x94382),x94383),x94385)))
% 182.20/182.07 [9456]~P24(x94561,x94562,x94563,f318(f318(f300(x94561),x94564),f318(f163(x94561),x94565)))+E(f318(f318(f145(x94561,x94562),x94563),f318(f127(x94561,f318(f318(f8(a894,a894,x94561),a313),f318(a315,x94564))),x94565)),f318(f127(x94562,f318(f318(f8(a894,a894,x94562),a313),f318(a315,f318(x94563,x94564)))),f318(f318(f145(x94561,x94562),x94563),x94565)))
% 182.20/182.07 [9625]P1(f318(f318(f320(f904(f899(x96251),f899(x96251))),f318(f318(f243(f899(x96251),f899(x96251)),f318(f318(f142(x96251),x96252),x96253)),f318(f318(f142(x96251),x96254),x96253))),f148(x96251,x96255)))+~P1(f318(f318(f320(f904(x96251,x96251)),f318(f318(f243(x96251,x96251),x96252),x96254)),x96255))
% 182.20/182.07 [9745]E(f318(f318(f300(x97451),f749(x97452,x97453,x97454,x97455,x97451)),f757(x97452,x97453,x97454,x97455,x97451)),f318(f318(f300(x97451),x97454),x97453))+~P1(f318(f56(x97451,x97455,f318(f318(f300(x97451),x97454),x97453)),x97452))
% 182.20/182.07 [9746]E(f318(f318(f300(x97461),f768(x97462,x97463,x97464,x97465,x97461)),f780(x97462,x97463,x97464,x97465,x97461)),f318(f318(f300(x97461),x97464),x97463))+~P1(f318(f56(x97461,x97465,f318(f318(f300(x97461),x97464),x97463)),x97462))
% 182.20/182.07 [9827]P1(f318(f318(f320(x98271),f589(x98272,x98273,x98274,x98275,x98271)),x98274))+P1(f318(f318(f318(f35(x98271,f905(x98275,a894)),x98274),x98273),x98272))
% 182.20/182.07 [9832]P1(f318(f318(f320(x98321),f590(x98322,x98323,x98321,x98324,x98325)),x98323))+P1(f318(f318(f320(x98325),x98324),f318(f318(f35(x98321,f905(x98325,a894)),x98323),x98322)))
% 182.20/182.07 [9840]P1(f318(f318(f320(x98401),f591(x98402,x98403,x98401,x98404,x98405)),x98403))+P1(f318(f318(f226(f905(x98405,a894)),x98404),f318(f318(f35(x98401,f905(x98405,a894)),x98403),x98402)))
% 182.20/182.07 [9841]P1(f318(f318(f320(x98411),f816(x98412,x98413,x98414,x98415,x98411)),x98415))+P1(f318(f318(f226(f905(x98414,a894)),x98413),f318(f318(f35(x98411,f905(x98414,a894)),x98415),x98412)))
% 182.20/182.07 [9843]P1(f318(f318(x98431,f401(x98432,x98431,x98433,x98434,x98435)),x98432))+~P1(f318(f318(f318(f34(x98435,f905(x98434,a894)),x98433),x98431),x98432))
% 182.20/182.07 [9847]P1(f318(f318(f320(x98471),f401(x98472,x98473,x98474,x98475,x98471)),x98474))+~P1(f318(f318(f318(f34(x98471,f905(x98475,a894)),x98474),x98473),x98472))
% 182.20/182.07 [9848]P51(x98484,f318(f318(f35(x98481,f905(x98484,a894)),x98485),x98483),f318(f318(f35(x98481,f905(f904(x98484,x98484),a894)),x98485),x98482))+P1(f318(f318(f320(x98481),f754(x98482,x98483,x98484,x98485,x98481)),x98485))
% 182.20/182.07 [9849]P51(x98494,f318(f318(f34(x98491,f905(x98494,a894)),x98495),x98493),f318(f318(f34(x98491,f905(f904(x98494,x98494),a894)),x98495),x98492))+P1(f318(f318(f320(x98491),f810(x98492,x98493,x98494,x98495,x98491)),x98495))
% 182.20/182.07 [9859]P1(f318(f318(f320(x98591),f412(x98592,x98593,x98591,x98594,x98595)),x98593))+~P1(f318(f318(f320(x98595),x98594),f318(f318(f34(x98591,f905(x98595,a894)),x98593),x98592)))
% 182.20/182.07 [9865]P1(f318(f318(f320(x98651),x98652),f318(x98653,f412(x98653,x98654,x98655,x98652,x98651))))+~P1(f318(f318(f320(x98651),x98652),f318(f318(f34(x98655,f905(x98651,a894)),x98654),x98653)))
% 182.20/182.07 [9946]~P1(f318(f318(x99464,f589(x99465,x99464,x99463,x99462,x99461)),x99465))+P1(f318(f318(f318(f35(x99461,f905(x99462,a894)),x99463),x99464),x99465))
% 182.20/182.07 [9949]~P1(f318(f318(f320(x99491),x99492),f318(x99495,f590(x99495,x99494,x99493,x99492,x99491))))+P1(f318(f318(f320(x99491),x99492),f318(f318(f35(x99493,f905(x99491,a894)),x99494),x99495)))
% 182.20/182.07 [9953]~P51(x99531,f318(x99534,f810(x99535,x99534,x99531,x99533,x99532)),f318(x99535,f810(x99535,x99534,x99531,x99533,x99532)))+P51(x99531,f318(f318(f34(x99532,f905(x99531,a894)),x99533),x99534),f318(f318(f34(x99532,f905(f904(x99531,x99531),a894)),x99533),x99535))
% 182.20/182.07 [9954]~P51(x99541,f318(x99544,f754(x99545,x99544,x99541,x99543,x99542)),f318(x99545,f754(x99545,x99544,x99541,x99543,x99542)))+P51(x99541,f318(f318(f35(x99542,f905(x99541,a894)),x99543),x99544),f318(f318(f35(x99542,f905(f904(x99541,x99541),a894)),x99543),x99545))
% 182.20/182.07 [9955]~P1(f318(f318(f226(f905(x99551,a894)),x99552),f318(x99555,f591(x99555,x99554,x99553,x99552,x99551))))+P1(f318(f318(f226(f905(x99551,a894)),x99552),f318(f318(f35(x99553,f905(x99551,a894)),x99554),x99555)))
% 182.20/182.07 [9956]~P1(f318(f318(f226(f905(x99561,a894)),x99562),f318(x99565,f816(x99565,x99562,x99561,x99564,x99563))))+P1(f318(f318(f226(f905(x99561,a894)),x99562),f318(f318(f35(x99563,f905(x99561,a894)),x99564),x99565)))
% 182.20/182.07 [10021]~P1(f318(f318(f320(x100211),f749(x100215,x100214,x100213,x100212,x100211)),f757(x100215,x100214,x100213,x100212,x100211)))+~P1(f318(f56(x100211,x100212,f318(f318(f300(x100211),x100213),x100214)),x100215))
% 182.20/182.07 [10022]~P1(f318(f318(f320(x100221),f768(x100225,x100224,x100223,x100222,x100221)),f780(x100225,x100224,x100223,x100222,x100221)))+~P1(f318(f56(x100221,x100222,f318(f318(f300(x100221),x100223),x100224)),x100225))
% 182.20/182.07 [10023]~P1(f318(f318(f320(f904(x100231,x100231)),f318(f318(f243(x100231,x100231),x100232),x100235)),f318(f318(f174(f904(x100231,x100231),a894),f318(a103,x100234)),x100233)))+P1(f318(f318(f320(f904(x100231,x100231)),f318(f318(f243(x100231,x100231),x100232),f579(x100233,x100234,x100235,x100232,x100231))),f318(f318(f174(f904(x100231,x100231),a894),x100234),x100233)))
% 182.20/182.07 [10029]P1(f318(f60(x100291,x100291,x100292,f749(x100293,x100294,x100295,x100292,x100291),f757(x100293,x100294,x100295,x100292,x100291)),x100293))+~P1(f318(f56(x100291,x100292,f318(f318(f300(x100291),x100295),x100294)),x100293))
% 182.20/182.07 [10030]P1(f318(f60(x100301,x100301,x100302,f768(x100303,x100304,x100305,x100302,x100301),f780(x100303,x100304,x100305,x100302,x100301)),x100303))+~P1(f318(f56(x100301,x100302,f318(f318(f300(x100301),x100305),x100304)),x100303))
% 182.20/182.07 [10040]~P82(x100401)+P13(x100401,f318(f318(f145(x100402,x100401),x100403),f318(f127(x100402,f318(f318(f7(x100402,x100401,a894),f318(f318(f8(x100401,f905(x100401,a894),x100402),a315),x100403)),f318(x100404,x100405))),x100405)))
% 182.20/182.07 [10090]~P1(f318(f318(f320(x100902),x100905),f318(f276(x100901,x100902,x100904),x100903)))+P1(f318(f318(f320(f904(x100901,x100902)),f318(f318(f243(x100901,x100902),f464(x100903,x100904,x100901,x100905,x100902)),x100905)),x100904))
% 182.20/182.07 [10091]~P1(f318(f318(f320(x100912),x100915),f318(f276(x100911,x100912,x100914),x100913)))+P1(f318(f318(f320(f904(x100911,x100912)),f318(f318(f243(x100911,x100912),f469(x100913,x100914,x100911,x100915,x100912)),x100915)),x100914))
% 182.20/182.07 [10111]~P1(f318(f318(f320(f904(x101111,x101111)),f318(f318(f243(x101111,x101111),x101115),x101114)),f318(f318(f174(f904(x101111,x101111),a894),f318(a103,x101113)),x101112)))+P1(f318(f318(f320(f904(x101111,x101111)),f318(f318(f243(x101111,x101111),f579(x101112,x101113,x101114,x101115,x101111)),x101114)),x101112))
% 182.20/182.07 [10114]~P1(f318(f318(f320(f904(x101141,x101141)),f318(f318(f243(x101141,x101141),x101145),x101144)),f318(f318(f174(f904(x101141,x101141),a894),f318(a103,x101143)),x101142)))+P1(f318(f318(f320(f904(x101141,x101141)),f318(f318(f243(x101141,x101141),f578(x101142,x101143,x101144,x101145,x101141)),x101144)),f318(f318(f174(f904(x101141,x101141),a894),x101143),x101142)))
% 182.20/182.07 [10115]~P1(f318(f318(f320(f904(x101151,x101151)),f318(f318(f243(x101151,x101151),x101155),x101154)),f318(f318(f174(f904(x101151,x101151),a894),f318(a103,x101153)),x101152)))+P1(f318(f318(f320(f904(x101151,x101151)),f318(f318(f243(x101151,x101151),f580(x101152,x101153,x101154,x101155,x101151)),x101154)),f318(f318(f174(f904(x101151,x101151),a894),x101153),x101152)))
% 182.20/182.07 [10116]~P1(f318(f318(f320(f904(f899(x101161),f899(x101161))),f318(f318(f243(f899(x101161),f899(x101161)),x101165),f318(f318(f142(x101161),x101164),x101163))),f149(x101161,x101162)))+P1(f318(f318(f320(f904(x101161,x101161)),f318(f318(f243(x101161,x101161),f629(x101162,x101163,x101164,x101165,x101161)),x101164)),x101162))
% 182.20/182.07 [7688]~E(x76883,f179(f905(x76882,a894)))+E(f318(f318(f92(f905(x76881,a894)),f318(f318(f35(x76882,f905(x76881,a894)),x76883),x76884)),x76885),x76885)
% 182.20/182.07 [7689]~E(x76893,f179(f905(x76892,a894)))+E(f318(f318(f101(f905(x76891,a894)),f318(f318(f34(x76892,f905(x76891,a894)),x76893),x76894)),x76895),x76895)
% 182.20/182.07 [8116]~E(x81163,f179(f905(x81162,a894)))+E(f318(f318(f23(f905(x81161,a894)),f318(f318(f35(x81162,f905(x81161,a894)),x81163),x81164)),x81165),f318(f318(f23(f905(x81161,a894)),f233(f905(x81161,a894))),x81165))
% 182.20/182.07 [8249]E(f318(f318(f150(x82491,f318(f318(f125(x82491),x82492),x82493)),x82494),x82495),f318(f318(f125(x82491),f318(f318(f150(x82491,x82492),x82494),x82495)),x82493))+~P1(f318(f318(f227(a898),x82494),f318(f180(f899(x82491)),x82492)))
% 182.20/182.07 [8521]E(f318(f318(f155(x85211),f318(f318(f145(a898,x85211),x85212),f130(a898,f318(f293(a898,x85213),x85214)))),x85215),f318(x85212,f318(f318(f75(a898),x85213),x85215)))+~P1(f318(f318(f227(a898),x85215),f318(f318(f23(a898),x85214),x85213)))
% 182.20/182.07 [8535]E(x85351,f2(a90))+E(f113(x85352,x85353,f318(x85354,f318(f318(f23(a90),x85351),f73(a90))),f318(f318(f7(x85352,a90,f900(f901(x85353))),x85355),x85351)),f318(f187(x85352,x85353,x85354,x85355),x85351))
% 182.20/182.07 [8559]~E(x85593,f179(f905(x85591,a894)))+E(f318(f318(f34(x85591,f905(x85592,a894)),x85593),f318(f318(f8(f905(x85592,a894),f905(x85592,a894),x85591),f318(f101(f905(x85592,a894)),x85594)),x85595)),f179(f905(x85592,a894)))
% 182.20/182.07 [8560]~E(x85603,f179(f905(x85601,a894)))+E(f318(f318(f35(x85601,f905(x85602,a894)),x85603),f318(f318(f8(f905(x85602,a894),f905(x85602,a894),x85601),f318(f23(f905(x85602,a894)),x85604)),x85605)),f233(f905(x85602,a894)))
% 182.20/182.07 [8561]~E(x85613,f179(f905(x85611,a894)))+E(f318(f318(f35(x85611,f905(x85612,a894)),x85613),f318(f318(f8(f905(x85612,a894),f905(x85612,a894),x85611),f318(f92(f905(x85612,a894)),x85614)),x85615)),f233(f905(x85612,a894)))
% 182.20/182.07 [8563]~P140(x85632)+E(f318(f318(f6(x85631,x85632),f318(f318(f8(x85632,x85632,x85631),f318(f76(x85632),x85633)),x85634)),x85635),f318(f318(f76(x85632),x85633),f318(f318(f6(x85631,x85632),x85634),x85635)))
% 182.20/182.07 [8854]E(x88541,f179(f905(x88542,a894)))+E(f318(f318(f34(x88542,f905(x88543,a894)),x88541),f318(f318(f8(f905(x88543,a894),f905(x88543,a894),x88542),f318(f101(f905(x88543,a894)),x88544)),x88545)),f318(f318(f101(f905(x88543,a894)),x88544),f318(f318(f34(x88542,f905(x88543,a894)),x88541),x88545)))
% 182.20/182.07 [8855]E(x88551,f179(f905(x88552,a894)))+E(f318(f318(f35(x88552,f905(x88553,a894)),x88551),f318(f318(f8(f905(x88553,a894),f905(x88553,a894),x88552),f318(f23(f905(x88553,a894)),x88554)),x88555)),f318(f318(f23(f905(x88553,a894)),x88554),f318(f318(f34(x88552,f905(x88553,a894)),x88551),x88555)))
% 182.20/182.07 [8856]E(x88561,f179(f905(x88562,a894)))+E(f318(f318(f35(x88562,f905(x88563,a894)),x88561),f318(f318(f8(f905(x88563,a894),f905(x88563,a894),x88562),f318(f92(f905(x88563,a894)),x88564)),x88565)),f318(f318(f92(f905(x88563,a894)),x88564),f318(f318(f35(x88562,f905(x88563,a894)),x88561),x88565)))
% 182.20/182.07 [9059]~P1(f318(f318(f227(a898),f318(x90594,x90592)),f318(x90594,x90593)))+P1(f318(f318(f320(f904(x90591,x90591)),f318(f318(f243(x90591,x90591),x90592),x90593)),f144(x90591,f318(f318(f142(f905(x90591,a898)),x90594),x90595))))
% 182.20/182.07 [9325]~P24(x93252,x93251,x93253,f318(f318(f101(f905(x93252,a894)),x93254),x93255))+E(f318(f318(f92(f905(x93251,a894)),f318(f301(x93252,x93251,x93253),f318(f318(f23(f905(x93252,a894)),x93254),x93255))),f318(f301(x93252,x93251,x93253),f318(f318(f23(f905(x93252,a894)),x93255),x93254))),f179(f905(x93251,a894)))
% 182.20/182.07 [9587]~P24(x95873,x95871,x95875,f233(f905(x95873,a894)))+E(f318(f67(x95871,x95872,x95873,f318(f67(x95873,x95872,x95871,x95874),f86(x95873,x95871,f233(f905(x95873,a894)),x95875))),x95875),x95874)
% 182.20/182.07 [9621]~P1(f318(f318(f226(f905(x96213,a894)),f318(f276(x96211,x96213,x96214),x96212)),x96215))+P1(f318(f318(f226(f905(x96211,a894)),x96212),f318(f74(f905(x96211,a894)),f318(f276(x96213,x96211,f318(f277(x96211,x96213),x96214)),f318(f74(f905(x96213,a894)),x96215)))))
% 182.20/182.07 [9646]~P24(x96461,x96462,x96463,f318(f318(f300(x96461),x96464),x96465))+~P1(f318(f318(f320(x96462),f318(x96463,x96464)),f318(f301(x96461,x96462,x96463),f318(f318(f23(f905(x96461,a894)),x96465),f318(f318(f300(x96461),x96464),f179(f905(x96461,a894)))))))
% 182.20/182.07 [9699]P1(f318(f318(f226(f905(x96991,a894)),f318(f276(x96992,x96991,x96993),x96994)),x96995))+~P1(f318(f318(f226(f905(x96992,a894)),x96994),f318(f74(f905(x96992,a894)),f318(f276(x96991,x96992,f318(f277(x96992,x96991),x96993)),f318(f74(f905(x96991,a894)),x96995)))))
% 182.20/182.07 [9772]~P87(x97721)+P1(f318(f318(f226(x97721),f318(f70(x97721),f318(f318(f23(x97721),f318(f318(f75(x97721),x97722),x97723)),f318(f318(f75(x97721),x97724),x97725)))),f318(f318(f75(x97721),f318(f70(x97721),f318(f318(f23(x97721),x97722),x97724))),f318(f70(x97721),f318(f318(f23(x97721),x97723),x97725)))))
% 182.20/182.07 [9880]P1(f318(f318(f320(x98801),f420(x98802,x98803,x98804,x98801,x98805)),x98804))+P1(f318(f318(f226(f905(x98805,a894)),f318(f318(f34(x98801,f905(x98805,a894)),x98804),x98803)),x98802))
% 182.20/182.07 [10058]~P1(f318(f318(f226(f905(x100581,a894)),f318(x100584,f420(x100585,x100584,x100583,x100582,x100581))),x100585))+P1(f318(f318(f226(f905(x100581,a894)),f318(f318(f34(x100582,f905(x100581,a894)),x100583),x100584)),x100585))
% 182.20/182.07 [8668]E(f318(f318(f125(x86681),x86682),f318(f318(f150(x86681,x86683),f318(f318(f23(a898),x86684),f318(f180(f899(x86681)),x86682))),x86685)),f318(f318(f150(x86681,f318(f318(f125(x86681),x86682),x86683)),x86684),x86685))+P1(f318(f318(f227(a898),x86684),f318(f180(f899(x86681)),x86682)))
% 182.20/182.07 [8696]~P143(x86961)+E(f318(f318(f75(x86961),f318(f318(f76(x86961),x86962),x86963)),f318(f318(f75(x86961),f318(f318(f76(x86961),x86964),x86963)),x86965)),f318(f318(f75(x86961),f318(f318(f76(x86961),f318(f318(f75(x86961),x86962),x86964)),x86963)),x86965))
% 182.20/182.07 [9278]~P140(x92781)+E(f318(f156(x92781),f318(f318(f145(x92782,x92781),f318(f318(f8(x92781,x92781,x92782),f318(f76(x92781),x92783)),x92784)),x92785)),f318(f318(f76(x92781),x92783),f318(f156(x92781),f318(f318(f145(x92782,x92781),x92784),x92785))))
% 182.20/182.07 [9455]E(f318(f180(f899(x94551)),f318(f318(f166(x94551),f318(f318(f224(a898),f318(f180(f899(x94551)),x94552)),f318(f180(f899(x94553)),x94554))),x94552)),f318(f180(f899(x94553)),f318(f318(f166(x94553),f318(f318(f224(a898),f318(f180(f899(x94551)),x94552)),f318(f180(f899(x94553)),x94554))),x94554)))+P1(f318(x94555,f318(f318(f172(x94551,x94553),x94552),x94554)))
% 182.20/182.07 [9709]~P140(x97092)+E(f318(f318(f6(x97091,x97092),f318(f318(f7(x97091,x97092,x97092),f318(f318(f8(x97092,f905(x97092,x97092),x97091),f76(x97092)),x97093)),x97094)),x97095),f318(f318(f76(x97092),f318(f318(f6(x97091,x97092),x97093),x97095)),x97094))
% 182.20/182.07 [9710]~P61(x97102)+E(f318(f318(f6(x97101,x97102),f318(f318(f7(x97101,x97102,x97102),f318(f318(f8(x97102,f905(x97102,x97102),x97101),f282(x97102)),x97103)),x97104)),x97105),f318(f318(f282(x97102),f318(f318(f6(x97101,x97102),x97103),x97105)),x97104))
% 182.20/182.07 [9717]~P67(x97172)+E(f318(f318(f6(x97171,x97172),f318(f318(f18(x97171,x97172,x97172),f318(f318(f8(x97172,f905(x97172,x97172),x97171),f23(x97172)),x97173)),x97174)),x97175),f318(f318(f23(x97172),f318(f318(f6(x97171,x97172),x97173),x97175)),f318(f318(f6(x97171,x97172),x97174),x97175)))
% 182.20/182.07 [9718]~P74(x97182)+E(f318(f318(f6(x97181,x97182),f318(f318(f18(x97181,x97182,x97182),f318(f318(f8(x97182,f905(x97182,x97182),x97181),f75(x97182)),x97183)),x97184)),x97185),f318(f318(f75(x97182),f318(f318(f6(x97181,x97182),x97183),x97185)),f318(f318(f6(x97181,x97182),x97184),x97185)))
% 182.20/182.07 [9719]~P75(x97192)+E(f318(f318(f9(x97191,x97192),f318(f318(f18(x97191,x97192,x97192),f318(f318(f8(x97192,f905(x97192,x97192),x97191),f76(x97192)),x97193)),x97194)),x97195),f318(f318(f76(x97192),f318(f318(f9(x97191,x97192),x97193),x97195)),f318(f318(f9(x97191,x97192),x97194),x97195)))
% 182.20/182.07 [9757]~E(x97573,f179(f905(x97571,a894)))+E(f318(f318(f34(x97571,f905(x97572,a894)),x97573),f318(f318(f7(x97571,f905(x97572,a894),f905(x97572,a894)),f318(f318(f8(f905(x97572,a894),f905(f905(x97572,a894),f905(x97572,a894)),x97571),f101(f905(x97572,a894))),x97574)),x97575)),f179(f905(x97572,a894)))
% 182.20/182.07 [9758]~E(x97583,f179(f905(x97581,a894)))+E(f318(f318(f35(x97581,f905(x97582,a894)),x97583),f318(f318(f7(x97581,f905(x97582,a894),f905(x97582,a894)),f318(f318(f8(f905(x97582,a894),f905(f905(x97582,a894),f905(x97582,a894)),x97581),f23(f905(x97582,a894))),x97584)),x97585)),f233(f905(x97582,a894)))
% 182.20/182.07 [9759]~E(x97593,f179(f905(x97591,a894)))+E(f318(f318(f35(x97591,f905(x97592,a894)),x97593),f318(f318(f7(x97591,f905(x97592,a894),f905(x97592,a894)),f318(f318(f8(f905(x97592,a894),f905(f905(x97592,a894),f905(x97592,a894)),x97591),f92(f905(x97592,a894))),x97594)),x97595)),f233(f905(x97592,a894)))
% 182.20/182.07 [9780]E(x97801,f179(f905(x97802,a894)))+E(f318(f318(f34(x97802,f905(x97803,a894)),x97801),f318(f318(f7(x97802,f905(x97803,a894),f905(x97803,a894)),f318(f318(f8(f905(x97803,a894),f905(f905(x97803,a894),f905(x97803,a894)),x97802),f101(f905(x97803,a894))),x97804)),x97805)),f318(f318(f101(f905(x97803,a894)),f318(f318(f34(x97802,f905(x97803,a894)),x97801),x97804)),x97805))
% 182.20/182.07 [9781]E(x97811,f179(f905(x97812,a894)))+E(f318(f318(f35(x97812,f905(x97813,a894)),x97811),f318(f318(f7(x97812,f905(x97813,a894),f905(x97813,a894)),f318(f318(f8(f905(x97813,a894),f905(f905(x97813,a894),f905(x97813,a894)),x97812),f23(f905(x97813,a894))),x97814)),x97815)),f318(f318(f23(f905(x97813,a894)),f318(f318(f35(x97812,f905(x97813,a894)),x97811),x97814)),x97815))
% 182.20/182.07 [9782]E(x97821,f179(f905(x97822,a894)))+E(f318(f318(f35(x97822,f905(x97823,a894)),x97821),f318(f318(f7(x97822,f905(x97823,a894),f905(x97823,a894)),f318(f318(f8(f905(x97823,a894),f905(f905(x97823,a894),f905(x97823,a894)),x97822),f92(f905(x97823,a894))),x97824)),x97825)),f318(f318(f92(f905(x97823,a894)),f318(f318(f35(x97822,f905(x97823,a894)),x97821),x97824)),x97825))
% 182.20/182.07 [9330]~P1(f318(f318(f226(a898),x93301),x93304))+E(f318(f318(f23(a898),f318(f318(f75(a898),f318(f318(f76(a898),x93301),x93302)),x93303)),f318(f318(f75(a898),f318(f318(f76(a898),x93304),x93302)),x93305)),f318(f318(f23(a898),x93303),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x93304),x93301)),x93302)),x93305)))
% 182.20/182.07 [9929]~P140(x99291)+E(f318(f156(x99291),f318(f318(f145(x99292,x99291),f318(f318(f7(x99292,x99291,x99291),f318(f318(f8(x99291,f905(x99291,x99291),x99292),f76(x99291)),x99293)),x99294)),x99295)),f318(f318(f76(x99291),f318(f156(x99291),f318(f318(f145(x99292,x99291),x99293),x99295))),x99294))
% 182.20/182.07 [9935]~P67(x99351)+E(f318(f156(x99351),f318(f318(f145(x99352,x99351),f318(f318(f18(x99352,x99351,x99351),f318(f318(f8(x99351,f905(x99351,x99351),x99352),f23(x99351)),x99353)),x99354)),x99355)),f318(f318(f23(x99351),f318(f156(x99351),f318(f318(f145(x99352,x99351),x99353),x99355))),f318(f156(x99351),f318(f318(f145(x99352,x99351),x99354),x99355))))
% 182.20/182.07 [9936]~P74(x99361)+E(f318(f156(x99361),f318(f318(f145(x99362,x99361),f318(f318(f18(x99362,x99361,x99361),f318(f318(f8(x99361,f905(x99361,x99361),x99362),f75(x99361)),x99363)),x99364)),x99365)),f318(f318(f75(x99361),f318(f156(x99361),f318(f318(f145(x99362,x99361),x99363),x99365))),f318(f156(x99361),f318(f318(f145(x99362,x99361),x99364),x99365))))
% 182.20/182.07 [10082]P1(f318(x100821,f318(f318(f172(x100822,x100823),x100824),x100825)))+~P1(f318(x100821,f318(f318(f172(x100822,x100823),f318(f318(f166(x100822),f318(f318(f224(a898),f318(f180(f899(x100822)),x100824)),f318(f180(f899(x100823)),x100825))),x100824)),f318(f318(f166(x100823),f318(f318(f224(a898),f318(f180(f899(x100822)),x100824)),f318(f180(f899(x100823)),x100825))),x100825))))
% 182.20/182.07 [10343]~P1(f318(f318(f320(f904(x103432,x103431)),f318(f318(f243(x103432,x103431),x103434),x103435)),f318(f277(x103431,x103432),x103433)))+P1(f318(f318(f234(x103431,x103432,f318(f318(f7(x103431,f905(f904(x103431,x103432),a894),f905(x103432,a894)),f318(f318(f8(f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),f905(f905(f904(x103431,x103432),a894),f905(x103432,a894)),x103431),f7(x103432,f905(f904(x103431,x103432),a894),a894)),f318(f318(f8(f905(x103432,f904(x103431,x103432)),f905(x103432,f905(f905(f904(x103431,x103432),a894),a894)),x103431),f318(f8(f904(x103431,x103432),f905(f905(f904(x103431,x103432),a894),a894),x103432),f320(f904(x103431,x103432)))),f243(x103431,x103432)))),x103433)),x103434),x103435))
% 182.20/182.07 [10353]P1(f318(f318(f320(f904(x103531,x103532)),f318(f318(f243(x103531,x103532),x103533),x103534)),f318(f277(x103532,x103531),x103535)))+~P1(f318(f318(f234(x103532,x103531,f318(f318(f7(x103532,f905(f904(x103532,x103531),a894),f905(x103531,a894)),f318(f318(f8(f905(x103531,f905(f905(f904(x103532,x103531),a894),a894)),f905(f905(f904(x103532,x103531),a894),f905(x103531,a894)),x103532),f7(x103531,f905(f904(x103532,x103531),a894),a894)),f318(f318(f8(f905(x103531,f904(x103532,x103531)),f905(x103531,f905(f905(f904(x103532,x103531),a894),a894)),x103532),f318(f8(f904(x103532,x103531),f905(f905(f904(x103532,x103531),a894),a894),x103531),f320(f904(x103532,x103531)))),f243(x103532,x103531)))),x103535)),x103533),x103534))
% 182.20/182.07 [9586]~P1(f318(f318(f226(a898),x95864),x95861))+E(f318(f318(f23(a898),f318(f318(f75(a898),f318(f318(f76(a898),x95861),x95862)),x95863)),f318(f318(f75(a898),f318(f318(f76(a898),x95864),x95862)),x95865)),f318(f318(f23(a898),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x95861),x95864)),x95862)),x95863)),x95865))
% 182.20/182.07 [7381]E(x73811,x73812)+~E(f211(x73813,x73814,x73815,x73811),f211(x73813,x73814,x73816,x73812))
% 182.20/182.07 [7382]E(x73821,x73822)+~E(f211(x73823,x73824,x73821,x73825),f211(x73823,x73824,x73822,x73826))
% 182.20/182.07 [8505]~P19(x85055,x85051,x85052,x85056)+E(f318(f67(x85051,x85051,x85051,f318(x85052,x85053)),f318(x85052,x85054)),f318(f67(x85051,x85051,x85051,f318(x85052,x85054)),f318(x85052,x85053)))
% 182.20/182.07 [8740]~P55(x87404,x87405,x87402,x87401,x87406)+E(f318(x87401,f318(x87402,x87403)),x87403)
% 182.20/182.07 [8907]P24(x89071,x89072,x89073,x89074)+~P24(x89071,x89075,f318(f67(x89072,x89075,x89071,x89076),x89073),x89074)
% 182.20/182.07 [8980]~E(x89806,x89804)+E(f318(f69(x89801,x89802,x89803,x89804,x89805),x89806),x89805)
% 182.20/182.07 [8986]E(x89861,x89862)+E(f318(f69(x89863,x89864,x89865,x89862,x89866),x89861),f318(x89865,x89861))
% 182.20/182.07 [8998]~P24(x89984,x89982,f318(f67(x89981,x89982,x89984,x89983),x89985),x89986)+P24(x89981,x89982,x89983,f318(f301(x89984,x89981,x89985),x89986))
% 182.20/182.07 [9720]P1(f318(f28(x97201),x97202))+~P1(f318(f60(x97201,x97203,x97204,x97205,x97202),x97206))
% 182.20/182.07 [9729]~P1(f318(f318(f320(x97294),x97293),f291(x97294,x97295,x97291,x97292,x97296)))+P1(f318(f318(x97291,x97292),x97293))
% 182.20/182.07 [9730]~P1(f318(f318(f320(x97304),x97303),f288(x97304,x97301,x97305,x97302,x97306)))+P1(f318(f318(x97301,x97302),x97303))
% 182.20/182.07 [9731]~P1(f318(f318(f320(x97314),x97312),f291(x97314,x97311,x97315,x97316,x97313)))+P1(f318(f318(x97311,x97312),x97313))
% 182.20/182.07 [9732]~P1(f318(f318(f320(x97324),x97322),f288(x97324,x97325,x97321,x97326,x97323)))+P1(f318(f318(x97321,x97322),x97323))
% 182.20/182.07 [10230]P12(x102301,x102302,x102303,x102304,x102305,x102306)+~E(f318(f318(x102306,f832(x102303,x102306,x102305,x102302,x102304,x102301)),f838(x102303,x102306,x102305,x102302,x102304,x102301)),f318(f318(x102306,f833(x102303,x102306,x102305,x102302,x102304,x102301)),f834(x102303,x102306,x102305,x102302,x102304,x102301)))
% 182.20/182.07 [5840]E(x58401,x58402)+~E(f318(f318(f243(x58403,x58404),x58405),x58401),f318(f318(f243(x58403,x58404),x58406),x58402))
% 182.20/182.07 [5842]E(x58421,x58422)+~E(f318(f318(f243(x58423,x58424),x58421),x58425),f318(f318(f243(x58423,x58424),x58422),x58426))
% 182.20/182.07 [5987]~P16(x59875,x59876,x59871)+E(f318(f318(x59871,x59872),f318(f318(x59871,x59873),x59874)),f318(f318(x59871,x59873),f318(f318(x59871,x59872),x59874)))
% 182.20/182.07 [7448]~P31(x74484,x74481,f318(f318(f142(x74484),x74482),x74485),f318(f318(f142(x74484),x74483),x74486))+P1(f318(f318(x74481,x74482),x74483))
% 182.20/182.07 [7806]P31(x78061,x78062,x78063,x78064)+~P31(x78061,x78062,f318(f318(f142(x78061),x78065),x78063),f318(f318(f142(x78061),x78066),x78064))
% 182.20/182.07 [8844]~P55(x88445,x88441,x88442,x88446,x88444)+P1(f318(f318(f320(x88441),f318(x88442,x88443)),x88444))
% 182.20/182.07 [9026]E(f318(f71(x90261,x90262,x90263,x90264,x90265),x90266),f318(x90263,x90266))+P1(f318(f318(f320(x90261),x90266),x90265))
% 182.20/182.07 [9048]~E(x90483,f318(f318(f142(x90481),x90485),x90486))+P1(f318(f318(f320(f904(f899(x90481),f899(x90481))),f318(f318(f243(f899(x90481),f899(x90481)),x90482),f318(f318(f125(x90481),x90482),x90483))),f138(x90481,x90484)))
% 182.20/182.07 [9053]E(f318(f71(x90531,x90532,x90533,x90534,x90535),x90536),f318(x90534,x90536))+~P1(f318(f318(f320(x90531),x90536),x90535))
% 182.20/182.07 [9284]~P33(x92841,x92842,x92843,x92845,x92846)+P33(x92841,x92842,x92843,f318(f318(f166(x92841),x92844),x92845),f318(f318(f166(x92842),x92844),x92846))
% 182.20/182.07 [9285]~P33(x92851,x92852,x92853,x92855,x92856)+P33(x92851,x92852,x92853,f318(f318(f129(x92851),x92854),x92855),f318(f318(f129(x92852),x92854),x92856))
% 182.20/182.07 [9548]E(f318(f301(x95481,x95482,f69(x95481,x95482,x95483,x95484,x95485)),x95486),f318(f301(x95481,x95482,x95483),x95486))+P1(f318(f318(f320(x95481),x95484),x95486))
% 182.20/182.07 [9551]E(f318(f318(f145(x95511,x95512),f69(x95511,x95512,x95513,x95514,x95515)),x95516),f318(f318(f145(x95511,x95512),x95513),x95516))+P1(f318(f318(f320(x95511),x95514),f318(f163(x95511),x95516)))
% 182.20/182.07 [9792]~P23(x97924,x97922,x97925,x97923,x97926,x97921)+E(f318(x97921,f179(f905(x97922,a894))),x97923)
% 182.20/182.07 [10024]~E(f318(x100244,f318(f242(x100241,x100243),x100245)),f318(x100246,f318(f242(x100241,x100243),x100245)))+E(f318(f249(x100241,x100242,x100243,x100243,x100244,f25(x100243)),x100245),f318(f249(x100241,x100242,x100243,x100243,x100246,f25(x100243)),x100245))
% 182.20/182.07 [10025]~E(f318(x100254,f318(f247(x100251,x100252),x100255)),f318(x100256,f318(f247(x100251,x100252),x100255)))+E(f318(f249(x100251,x100251,x100252,x100253,f25(x100251),x100254),x100255),f318(f249(x100251,x100251,x100252,x100253,f25(x100251),x100256),x100255))
% 182.20/182.07 [10078]~E(f318(f249(x100782,x100786,x100783,x100783,x100781,f25(x100783)),x100784),f318(f249(x100782,x100786,x100783,x100783,x100785,f25(x100783)),x100784))+E(f318(x100781,f318(f242(x100782,x100783),x100784)),f318(x100785,f318(f242(x100782,x100783),x100784)))
% 182.20/182.07 [10079]~E(f318(f249(x100792,x100792,x100793,x100796,f25(x100792),x100791),x100794),f318(f249(x100792,x100792,x100793,x100796,f25(x100792),x100795),x100794))+E(f318(x100791,f318(f247(x100792,x100793),x100794)),f318(x100795,f318(f247(x100792,x100793),x100794)))
% 182.20/182.07 [8947]P1(f318(f318(f320(x89471),x89472),x89473))+~P1(f318(f318(f320(f904(x89471,x89474)),f318(f318(f243(x89471,x89474),x89472),x89475)),f318(f318(f245(x89471,x89474),x89473),x89476)))
% 182.20/182.07 [8963]P1(f318(f318(f320(x89631),x89632),f318(x89633,x89634)))+~P1(f318(f318(f320(f904(x89635,x89631)),f318(f318(f243(x89635,x89631),x89634),x89632)),f318(f318(f245(x89635,x89631),x89636),x89633)))
% 182.20/182.07 [9405]P1(f318(f318(f320(f904(x94051,x94051)),f318(f318(f243(x94051,x94051),f318(x94052,x94053)),f318(x94052,x94054))),x94055))+~P1(f318(f318(f320(f904(x94056,x94056)),f318(f318(f243(x94056,x94056),x94053),x94054)),f318(f318(f279(x94051,x94056),x94055),x94052)))
% 182.20/182.07 [9425]~P1(f318(f318(f320(f904(x94254,x94254)),f318(f318(f243(x94254,x94254),f318(x94256,x94252)),f318(x94256,x94253))),x94255))+P1(f318(f318(f320(f904(x94251,x94251)),f318(f318(f243(x94251,x94251),x94252),x94253)),f318(f318(f279(x94254,x94251),x94255),x94256)))
% 182.20/182.07 [10081]E(f318(f318(f243(x100811,x100812),f622(x100813,x100814,x100815,x100816,x100812,x100811)),f624(x100813,x100814,x100815,x100816,x100812,x100811)),x100816)+~P1(f318(f318(f320(f904(x100811,x100812)),x100816),f318(f318(f280(x100811,x100815,x100812),x100814),x100813)))
% 182.20/182.07 [10301]~P1(f318(f318(f320(f904(x103011,x103016)),x103015),f318(f318(f280(x103011,x103012,x103016),x103014),x103013)))+P1(f318(f318(f320(f904(x103011,x103012)),f318(f318(f243(x103011,x103012),f622(x103013,x103014,x103012,x103015,x103016,x103011)),f625(x103013,x103014,x103012,x103015,x103016,x103011))),x103014))
% 182.20/182.07 [10302]~P1(f318(f318(f320(f904(x103026,x103022)),x103025),f318(f318(f280(x103026,x103021,x103022),x103024),x103023)))+P1(f318(f318(f320(f904(x103021,x103022)),f318(f318(f243(x103021,x103022),f625(x103023,x103024,x103021,x103025,x103022,x103026)),f624(x103023,x103024,x103021,x103025,x103022,x103026))),x103023))
% 182.20/182.07 [10303]P12(x103031,x103032,x103033,x103034,x103035,x103036)+P1(f318(f318(f320(f904(x103032,x103032)),f318(f318(f243(x103032,x103032),f834(x103033,x103036,x103035,x103032,x103034,x103031)),f838(x103033,x103036,x103035,x103032,x103034,x103031))),x103035))
% 182.20/182.07 [10304]P12(x103041,x103042,x103043,x103044,x103045,x103046)+P1(f318(f318(f320(f904(x103041,x103041)),f318(f318(f243(x103041,x103041),f833(x103043,x103046,x103045,x103042,x103044,x103041)),f832(x103043,x103046,x103045,x103042,x103044,x103041))),x103044))
% 182.20/182.07 [7877]~P5(x78772)+E(f318(f318(f34(x78771,x78772),x78773),f318(f318(f7(x78771,x78774,x78772),x78775),x78776)),f318(f318(f318(f34(x78771,f905(x78774,x78772)),x78773),x78775),x78776))
% 182.20/182.07 [7878]~P5(x78782)+E(f318(f318(f35(x78781,x78782),x78783),f318(f318(f7(x78781,x78784,x78782),x78785),x78786)),f318(f318(f318(f35(x78781,f905(x78784,x78782)),x78783),x78785),x78786))
% 182.20/182.07 [8650]E(f318(f318(f34(x86501,f905(x86502,a894)),x86503),f318(f318(f8(f905(x86502,a894),f905(x86502,a894),x86501),f318(f300(x86502),x86504)),x86505)),f318(f318(f300(x86502),x86504),f318(f318(f34(x86501,f905(x86502,a894)),x86503),x86505)))+~P1(f318(f318(f320(x86501),x86506),x86503))
% 182.20/182.07 [9103]~P5(x91032)+E(f318(f318(f34(x91031,x91032),x91033),f318(f318(f8(f905(x91034,x91032),x91032,x91031),f318(f34(x91034,x91032),x91035)),f318(f7(x91034,x91031,x91032),x91036))),f318(f318(f34(x91034,x91032),x91035),f318(f318(f8(f905(x91031,x91032),x91032,x91034),f318(f34(x91031,x91032),x91033)),x91036)))
% 182.20/182.07 [9104]~P5(x91042)+E(f318(f318(f35(x91041,x91042),x91043),f318(f318(f8(f905(x91044,x91042),x91042,x91041),f318(f35(x91044,x91042),x91045)),f318(f7(x91044,x91041,x91042),x91046))),f318(f318(f35(x91044,x91042),x91045),f318(f318(f8(f905(x91041,x91042),x91042,x91044),f318(f35(x91041,x91042),x91043)),x91046)))
% 182.20/182.07 [9310]P1(f318(f318(f320(x93101),x93102),f318(f163(x93101),x93103)))+~P1(f318(f318(f320(f904(x93104,x93101)),f318(f318(f243(x93104,x93101),x93105),x93102)),f318(f163(f904(x93104,x93101)),f318(f318(f172(x93104,x93101),x93106),x93103))))
% 182.20/182.07 [9311]P1(f318(f318(f320(x93111),x93112),f318(f163(x93111),x93113)))+~P1(f318(f318(f320(f904(x93111,x93114)),f318(f318(f243(x93111,x93114),x93112),x93115)),f318(f163(f904(x93111,x93114)),f318(f318(f172(x93111,x93114),x93113),x93116))))
% 182.20/182.07 [9421]P1(f318(f318(f226(f905(x94211,a894)),f318(f276(x94212,x94211,x94213),x94214)),x94215))+~P1(f318(f318(f226(f905(f904(x94212,x94211),a894)),x94213),f318(f318(f245(x94212,x94211),x94216),f318(f16(f905(x94211,a894),x94212),x94215))))
% 182.20/182.07 [9426]~P25(x94264,x94262,x94265,f233(f905(x94264,a894)),f233(f905(x94262,a894)))+E(f318(f318(f35(x94261,f905(x94262,a894)),x94263),f318(f318(f8(f905(x94264,a894),f905(x94262,a894),x94261),f301(x94264,x94262,x94265)),x94266)),f318(f301(x94264,x94262,x94265),f318(f318(f35(x94261,f905(x94264,a894)),x94263),x94266)))
% 182.20/182.07 [9624]P1(f318(f318(f320(f904(f899(x96241),f899(x96241))),f318(f318(f243(f899(x96241),f899(x96241)),f318(f318(f142(x96241),x96242),x96243)),f318(f318(f142(x96241),x96244),x96245))),f138(x96241,x96246)))+~P1(f318(f318(f320(f904(x96241,x96241)),f318(f318(f243(x96241,x96241),x96242),x96244)),x96246))
% 182.20/182.07 [10077]E(f318(f318(f243(x100771,x100772),f535(x100773,x100774,x100775,x100772,x100771,x100776)),f536(x100773,x100774,x100775,x100772,x100771,x100776)),x100776)+P1(f318(f318(f320(x100775),x100774),f318(f318(f248(x100771,x100772,f905(x100775,a894)),x100773),x100776)))
% 182.20/182.07 [10083]E(f318(f318(f243(x100831,x100832),f533(x100833,x100834,x100832,x100831,x100835,x100836)),f534(x100833,x100834,x100832,x100831,x100835,x100836)),x100833)+~P1(f318(f318(f320(x100836),x100835),f318(f318(f248(x100831,x100832,f905(x100836,a894)),x100834),x100833)))
% 182.20/182.07 [10245]P1(f318(f318(f320(x102451),x102452),f318(f318(x102453,f533(x102454,x102453,x102455,x102456,x102452,x102451)),f534(x102454,x102453,x102455,x102456,x102452,x102451))))+~P1(f318(f318(f320(x102451),x102452),f318(f318(f248(x102456,x102455,f905(x102451,a894)),x102453),x102454)))
% 182.20/182.07 [10274]~P1(f318(f318(f320(x102741),x102742),f318(f318(x102745,f535(x102745,x102742,x102741,x102744,x102743,x102746)),f536(x102745,x102742,x102741,x102744,x102743,x102746))))+P1(f318(f318(f320(x102741),x102742),f318(f318(f248(x102743,x102744,f905(x102741,a894)),x102745),x102746)))
% 182.20/182.07 [8551]E(x85511,x85512)+E(f318(f318(f150(x85513,f318(f318(f150(x85513,x85514),x85511),x85515)),x85512),x85516),f318(f318(f150(x85513,f318(f318(f150(x85513,x85514),x85512),x85516)),x85511),x85515))
% 182.20/182.07 [9684]~P1(f318(f318(f320(x96843),x96846),x96845))+E(f318(f318(f300(x96841),x96842),f318(f301(x96843,x96841,x96844),f318(f318(f23(f905(x96843,a894)),x96845),f318(f318(f300(x96843),x96846),f179(f905(x96843,a894)))))),f318(f301(x96843,x96841,f69(x96843,x96841,x96844,x96846,x96842)),x96845))
% 182.20/182.07 [9182]~P1(f318(f318(x91824,x91825),x91826))+P1(f318(f318(f318(f318(f101(f905(x91821,f905(x91822,a894))),x91823),x91824),x91825),x91826))
% 182.20/182.07 [9184]~P1(f318(f318(x91843,x91845),x91846))+P1(f318(f318(f318(f318(f101(f905(x91841,f905(x91842,a894))),x91843),x91844),x91845),x91846))
% 182.20/182.07 [9476]P1(f318(f318(x94761,x94762),x94763))+~P1(f318(f318(f318(f318(f92(f905(x94764,f905(x94765,a894))),x94766),x94761),x94762),x94763))
% 182.20/182.07 [9477]P1(f318(f318(x94771,x94772),x94773))+~P1(f318(f318(f318(f318(f92(f905(x94774,f905(x94775,a894))),x94771),x94776),x94772),x94773))
% 182.20/182.07 [9917]~P74(x99172)+E(f318(f318(f6(x99171,x99172),f318(f318(f7(x99171,f905(x99173,a894),x99172),f318(f318(f8(f905(x99173,x99172),f905(f905(x99173,a894),x99172),x99171),f6(x99173,x99172)),x99174)),x99175)),x99176),f318(f318(f6(f904(x99171,x99173),x99172),f318(f248(x99171,x99173,x99172),x99174)),f318(f318(f245(x99171,x99173),x99176),f318(f16(f905(x99173,a894),x99171),x99175))))
% 182.20/182.07 [9918]~P75(x99182)+E(f318(f318(f9(x99181,x99182),f318(f318(f7(x99181,f905(x99183,a894),x99182),f318(f318(f8(f905(x99183,x99182),f905(f905(x99183,a894),x99182),x99181),f9(x99183,x99182)),x99184)),x99185)),x99186),f318(f318(f9(f904(x99181,x99183),x99182),f318(f248(x99181,x99183,x99182),x99184)),f318(f318(f245(x99181,x99183),x99186),f318(f16(f905(x99183,a894),x99181),x99185))))
% 182.20/182.07 [10049]~P74(x100492)+E(f318(f318(f6(x100491,x100492),f318(f318(f7(x100491,f905(x100493,a894),x100492),f318(f318(f8(f905(x100493,x100492),f905(f905(x100493,a894),x100492),x100491),f6(x100493,x100492)),f318(f7(x100493,x100491,x100492),x100494))),x100495)),x100496),f318(f318(f6(x100493,x100492),f318(f318(f7(x100493,f905(x100491,a894),x100492),f318(f318(f8(f905(x100491,x100492),f905(f905(x100491,a894),x100492),x100493),f6(x100491,x100492)),x100494)),x100496)),x100495))
% 182.20/182.07 [10365]~P1(f318(f318(f320(f904(x103651,x103652)),f318(f318(f243(x103651,x103652),x103655),x103656)),f318(f318(f92(f905(f904(x103651,x103652),a894)),x103653),x103654)))+P1(f318(f318(f318(f318(f92(f905(x103651,f905(x103652,a894))),f318(f318(f7(x103651,f905(f904(x103651,x103652),a894),f905(x103652,a894)),f318(f318(f8(f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),f905(f905(f904(x103651,x103652),a894),f905(x103652,a894)),x103651),f7(x103652,f905(f904(x103651,x103652),a894),a894)),f318(f318(f8(f905(x103652,f904(x103651,x103652)),f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),x103651),f318(f8(f904(x103651,x103652),f905(f905(f904(x103651,x103652),a894),a894),x103652),f320(f904(x103651,x103652)))),f243(x103651,x103652)))),x103653)),f318(f318(f7(x103651,f905(f904(x103651,x103652),a894),f905(x103652,a894)),f318(f318(f8(f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),f905(f905(f904(x103651,x103652),a894),f905(x103652,a894)),x103651),f7(x103652,f905(f904(x103651,x103652),a894),a894)),f318(f318(f8(f905(x103652,f904(x103651,x103652)),f905(x103652,f905(f905(f904(x103651,x103652),a894),a894)),x103651),f318(f8(f904(x103651,x103652),f905(f905(f904(x103651,x103652),a894),a894),x103652),f320(f904(x103651,x103652)))),f243(x103651,x103652)))),x103654)),x103655),x103656))
% 182.20/182.07 [10366]~P1(f318(f318(f320(f904(x103661,x103662)),f318(f318(f243(x103661,x103662),x103665),x103666)),f318(f318(f101(f905(f904(x103661,x103662),a894)),x103663),x103664)))+P1(f318(f318(f318(f318(f101(f905(x103661,f905(x103662,a894))),f318(f318(f7(x103661,f905(f904(x103661,x103662),a894),f905(x103662,a894)),f318(f318(f8(f905(x103662,f905(f905(f904(x103661,x103662),a894),a894)),f905(f905(f904(x103661,x103662),a894),f905(x103662,a894)),x103661),f7(x103662,f905(f904(x103661,x103662),a894),a894)),f318(f318(f8(f905(x103662,f904(x103661,x103662)),f905(x103662,f905(f905(f904(x103661,x103662),a894),a894)),x103661),f318(f8(f904(x103661,x103662),f905(f905(f904(x103661,x103662),a894),a894),x103662),f320(f904(x103661,x103662)))),f243(x103661,x103662)))),x103663)),f318(f318(f7(x103661,f905(f904(x103661,x103662),a894),f905(x103662,a894)),f318(f318(f8(f905(x103662,f905(f905(f904(x103661,x103662),a894),a894)),f905(f905(f904(x103661,x103662),a894),f905(x103662,a894)),x103661),f7(x103662,f905(f904(x103661,x103662),a894),a894)),f318(f318(f8(f905(x103662,f904(x103661,x103662)),f905(x103662,f905(f905(f904(x103661,x103662),a894),a894)),x103661),f318(f8(f904(x103661,x103662),f905(f905(f904(x103661,x103662),a894),a894),x103662),f320(f904(x103661,x103662)))),f243(x103661,x103662)))),x103664)),x103665),x103666))
% 182.20/182.07 [10375]P1(f318(f318(f320(f904(x103751,x103752)),f318(f318(f243(x103751,x103752),x103753),x103754)),f318(f318(f92(f905(f904(x103751,x103752),a894)),x103755),x103756)))+~P1(f318(f318(f318(f318(f92(f905(x103751,f905(x103752,a894))),f318(f318(f7(x103751,f905(f904(x103751,x103752),a894),f905(x103752,a894)),f318(f318(f8(f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),f905(f905(f904(x103751,x103752),a894),f905(x103752,a894)),x103751),f7(x103752,f905(f904(x103751,x103752),a894),a894)),f318(f318(f8(f905(x103752,f904(x103751,x103752)),f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),x103751),f318(f8(f904(x103751,x103752),f905(f905(f904(x103751,x103752),a894),a894),x103752),f320(f904(x103751,x103752)))),f243(x103751,x103752)))),x103755)),f318(f318(f7(x103751,f905(f904(x103751,x103752),a894),f905(x103752,a894)),f318(f318(f8(f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),f905(f905(f904(x103751,x103752),a894),f905(x103752,a894)),x103751),f7(x103752,f905(f904(x103751,x103752),a894),a894)),f318(f318(f8(f905(x103752,f904(x103751,x103752)),f905(x103752,f905(f905(f904(x103751,x103752),a894),a894)),x103751),f318(f8(f904(x103751,x103752),f905(f905(f904(x103751,x103752),a894),a894),x103752),f320(f904(x103751,x103752)))),f243(x103751,x103752)))),x103756)),x103753),x103754))
% 182.20/182.07 [10376]P1(f318(f318(f320(f904(x103761,x103762)),f318(f318(f243(x103761,x103762),x103763),x103764)),f318(f318(f101(f905(f904(x103761,x103762),a894)),x103765),x103766)))+~P1(f318(f318(f318(f318(f101(f905(x103761,f905(x103762,a894))),f318(f318(f7(x103761,f905(f904(x103761,x103762),a894),f905(x103762,a894)),f318(f318(f8(f905(x103762,f905(f905(f904(x103761,x103762),a894),a894)),f905(f905(f904(x103761,x103762),a894),f905(x103762,a894)),x103761),f7(x103762,f905(f904(x103761,x103762),a894),a894)),f318(f318(f8(f905(x103762,f904(x103761,x103762)),f905(x103762,f905(f905(f904(x103761,x103762),a894),a894)),x103761),f318(f8(f904(x103761,x103762),f905(f905(f904(x103761,x103762),a894),a894),x103762),f320(f904(x103761,x103762)))),f243(x103761,x103762)))),x103765)),f318(f318(f7(x103761,f905(f904(x103761,x103762),a894),f905(x103762,a894)),f318(f318(f8(f905(x103762,f905(f905(f904(x103761,x103762),a894),a894)),f905(f905(f904(x103761,x103762),a894),f905(x103762,a894)),x103761),f7(x103762,f905(f904(x103761,x103762),a894),a894)),f318(f318(f8(f905(x103762,f904(x103761,x103762)),f905(x103762,f905(f905(f904(x103761,x103762),a894),a894)),x103761),f318(f8(f904(x103761,x103762),f905(f905(f904(x103761,x103762),a894),a894),x103762),f320(f904(x103761,x103762)))),f243(x103761,x103762)))),x103766)),x103763),x103764))
% 182.20/182.07 [10359]~P1(f318(f318(f320(f904(x103592,x103593)),f318(f318(f243(x103592,x103593),x103595),x103596)),f318(f318(f34(x103591,f905(f904(x103592,x103593),a894)),f233(f905(x103591,a894))),x103594)))+P1(f318(f318(f318(f318(f34(x103591,f905(x103592,f905(x103593,a894))),f233(f905(x103591,a894))),f318(f318(f8(f905(f904(x103592,x103593),a894),f905(x103592,f905(x103593,a894)),x103591),f318(f7(x103592,f905(f904(x103592,x103593),a894),f905(x103593,a894)),f318(f318(f8(f905(x103593,f905(f905(f904(x103592,x103593),a894),a894)),f905(f905(f904(x103592,x103593),a894),f905(x103593,a894)),x103592),f7(x103593,f905(f904(x103592,x103593),a894),a894)),f318(f318(f8(f905(x103593,f904(x103592,x103593)),f905(x103593,f905(f905(f904(x103592,x103593),a894),a894)),x103592),f318(f8(f904(x103592,x103593),f905(f905(f904(x103592,x103593),a894),a894),x103593),f320(f904(x103592,x103593)))),f243(x103592,x103593))))),x103594)),x103595),x103596))
% 182.20/182.07 [10360]~P1(f318(f318(f320(f904(x103602,x103603)),f318(f318(f243(x103602,x103603),x103605),x103606)),f318(f318(f35(x103601,f905(f904(x103602,x103603),a894)),f233(f905(x103601,a894))),x103604)))+P1(f318(f318(f318(f318(f35(x103601,f905(x103602,f905(x103603,a894))),f233(f905(x103601,a894))),f318(f318(f8(f905(f904(x103602,x103603),a894),f905(x103602,f905(x103603,a894)),x103601),f318(f7(x103602,f905(f904(x103602,x103603),a894),f905(x103603,a894)),f318(f318(f8(f905(x103603,f905(f905(f904(x103602,x103603),a894),a894)),f905(f905(f904(x103602,x103603),a894),f905(x103603,a894)),x103602),f7(x103603,f905(f904(x103602,x103603),a894),a894)),f318(f318(f8(f905(x103603,f904(x103602,x103603)),f905(x103603,f905(f905(f904(x103602,x103603),a894),a894)),x103602),f318(f8(f904(x103602,x103603),f905(f905(f904(x103602,x103603),a894),a894),x103603),f320(f904(x103602,x103603)))),f243(x103602,x103603))))),x103604)),x103605),x103606))
% 182.20/182.07 [10369]P1(f318(f318(f320(f904(x103691,x103692)),f318(f318(f243(x103691,x103692),x103693),x103694)),f318(f318(f34(x103695,f905(f904(x103691,x103692),a894)),f233(f905(x103695,a894))),x103696)))+~P1(f318(f318(f318(f318(f34(x103695,f905(x103691,f905(x103692,a894))),f233(f905(x103695,a894))),f318(f318(f8(f905(f904(x103691,x103692),a894),f905(x103691,f905(x103692,a894)),x103695),f318(f7(x103691,f905(f904(x103691,x103692),a894),f905(x103692,a894)),f318(f318(f8(f905(x103692,f905(f905(f904(x103691,x103692),a894),a894)),f905(f905(f904(x103691,x103692),a894),f905(x103692,a894)),x103691),f7(x103692,f905(f904(x103691,x103692),a894),a894)),f318(f318(f8(f905(x103692,f904(x103691,x103692)),f905(x103692,f905(f905(f904(x103691,x103692),a894),a894)),x103691),f318(f8(f904(x103691,x103692),f905(f905(f904(x103691,x103692),a894),a894),x103692),f320(f904(x103691,x103692)))),f243(x103691,x103692))))),x103696)),x103693),x103694))
% 182.20/182.07 [10370]P1(f318(f318(f320(f904(x103701,x103702)),f318(f318(f243(x103701,x103702),x103703),x103704)),f318(f318(f35(x103705,f905(f904(x103701,x103702),a894)),f233(f905(x103705,a894))),x103706)))+~P1(f318(f318(f318(f318(f35(x103705,f905(x103701,f905(x103702,a894))),f233(f905(x103705,a894))),f318(f318(f8(f905(f904(x103701,x103702),a894),f905(x103701,f905(x103702,a894)),x103705),f318(f7(x103701,f905(f904(x103701,x103702),a894),f905(x103702,a894)),f318(f318(f8(f905(x103702,f905(f905(f904(x103701,x103702),a894),a894)),f905(f905(f904(x103701,x103702),a894),f905(x103702,a894)),x103701),f7(x103702,f905(f904(x103701,x103702),a894),a894)),f318(f318(f8(f905(x103702,f904(x103701,x103702)),f905(x103702,f905(f905(f904(x103701,x103702),a894),a894)),x103701),f318(f8(f904(x103701,x103702),f905(f905(f904(x103701,x103702),a894),a894),x103702),f320(f904(x103701,x103702)))),f243(x103701,x103702))))),x103706)),x103703),x103704))
% 182.20/182.07 [7553]E(f318(x75531,f318(x75532,x75533)),f318(x75534,x75533))+~E(f318(f67(x75535,x75536,x75537,x75531),x75532),x75534)
% 182.20/182.07 [9700]E(x97001,x97002)+E(f69(x97003,x97004,f69(x97003,x97004,x97005,x97001,x97006),x97002,x97007),f69(x97003,x97004,f69(x97003,x97004,x97005,x97002,x97007),x97001,x97006))
% 182.20/182.07 [9791]~P22(x97913,x97914,x97911,x97915,x97916,x97917)+E(f318(f318(x97911,x97912),x97912),x97912)
% 182.20/182.07 [6090]~E(f318(f318(f145(x60901,x60905),x60906),x60902),f318(f318(f145(x60903,x60905),x60907),x60904))+E(f318(f180(f899(x60901)),x60902),f318(f180(f899(x60903)),x60904))
% 182.20/182.07 [8582]E(f318(x85821,f318(x85822,x85823)),f318(x85824,x85823))+~E(f318(f67(x85825,x85826,x85827,x85821),x85822),f318(f67(x85826,x85826,x85827,f25(x85826)),x85824))
% 182.20/182.07 [8936]~P33(x89364,x89365,x89361,f318(f318(f142(x89364),x89362),x89366),f318(f318(f142(x89365),x89363),x89367))+P1(f318(f318(x89361,x89362),x89363))
% 182.20/182.07 [9317]P33(x93171,x93172,x93173,x93174,x93175)+~P33(x93171,x93172,x93173,f318(f318(f142(x93171),x93176),x93174),f318(f318(f142(x93172),x93177),x93175))
% 182.20/182.07 [9950]P1(f318(f318(x99501,x99502),f490(x99503,x99502,x99504,x99501)))+~P1(f318(f318(f244(x99505,x99506,x99507,x99501,x99504),x99502),x99503))
% 182.20/182.07 [9974]P1(f318(f318(x99741,f490(x99742,x99743,x99741,x99744)),x99742))+~P1(f318(f318(f244(x99745,x99746,x99747,x99744,x99741),x99743),x99742))
% 182.20/182.07 [9057]~P20(x90576,x90571,x90573,x90577)+E(f318(f67(x90571,x90571,x90572,f318(x90573,x90574)),f318(f67(x90571,x90571,x90572,f318(x90573,x90574)),x90575)),f318(f67(x90571,x90571,x90572,f318(x90573,x90574)),x90575))
% 182.20/182.07 [9429]~P33(x94293,x94292,x94294,f318(f318(f145(x94291,x94293),x94295),x94296),x94297)+P33(x94291,x94292,f318(f318(f8(x94293,f905(x94292,a894),x94291),x94294),x94295),x94296,x94297)
% 182.20/182.07 [9452]P33(x94521,x94522,x94523,f318(f318(f145(x94524,x94521),x94525),x94526),x94527)+~P33(x94524,x94522,f318(f318(f8(x94521,f905(x94522,a894),x94524),x94523),x94525),x94526,x94527)
% 182.20/182.07 [9056]~P1(f318(f318(f320(x90561),x90562),f318(f318(x90565,x90566),x90567)))+P1(f318(f318(f320(x90561),x90562),f318(f318(f248(x90563,x90564,f905(x90561,a894)),x90565),f318(f318(f243(x90563,x90564),x90566),x90567))))
% 182.20/182.07 [9343]P1(f318(f318(f318(x93431,x93432),x93433),x93434))+~P1(f318(f318(f318(f248(x93435,x93436,f905(x93437,a894)),x93431),f318(f318(f243(x93435,x93436),x93432),x93433)),x93434))
% 182.20/182.07 [9491]P1(f318(f318(f320(x94911),f318(f318(x94912,x94913),x94914)),f318(f301(f904(x94915,x94916),x94911,f318(f248(x94915,x94916,x94911),x94912)),x94917)))+~P1(f318(f318(f320(f904(x94915,x94916)),f318(f318(f243(x94915,x94916),x94913),x94914)),x94917))
% 182.20/182.07 [9838]P1(f318(f318(f320(f904(f899(x98381),f899(x98381))),f318(f318(f243(f899(x98381),f899(x98381)),f318(f318(f125(x98381),x98382),f318(f318(f142(x98381),x98383),x98384))),f318(f318(f125(x98381),x98382),f318(f318(f142(x98381),x98385),x98386)))),f138(x98381,x98387)))+~P1(f318(f318(f320(f904(x98381,x98381)),f318(f318(f243(x98381,x98381),x98383),x98385)),x98387))
% 182.20/182.07 [9902]~P33(x99021,x99023,x99024,x99026,f318(f318(f145(x99022,x99023),x99025),x99027))+P33(x99021,x99022,f318(f318(f7(x99021,f905(x99022,x99023),f905(x99022,a894)),f318(f318(f8(f905(x99023,a894),f905(f905(x99022,x99023),f905(x99022,a894)),x99021),f8(x99023,a894,x99022)),x99024)),x99025),x99026,x99027)
% 182.20/182.07 [9978]P33(x99781,x99782,x99783,x99784,f318(f318(f145(x99785,x99782),x99786),x99787))+~P33(x99781,x99785,f318(f318(f7(x99781,f905(x99785,x99782),f905(x99785,a894)),f318(f318(f8(f905(x99782,a894),f905(f905(x99785,x99782),f905(x99785,a894)),x99781),f8(x99782,a894,x99785)),x99783)),x99786),x99784,x99787)
% 182.20/182.07 [10288]P1(f318(f318(f320(x102881),f593(x102882,x102883,x102884,x102885,x102886,x102887,x102881)),x102885))+P1(f318(f318(f318(f318(f35(x102881,f905(x102887,f905(x102886,a894))),x102885),x102884),x102883),x102882))
% 182.20/182.07 [10289]P1(f318(f318(f320(x102891),f765(x102892,x102893,x102894,x102895,x102896,x102897,x102891)),x102897))+P1(f318(f318(f318(f318(f35(x102891,f905(x102893,f905(x102892,a894))),x102897),x102896),x102895),x102894))
% 182.20/182.07 [10290]P1(f318(f318(f320(x102901),f425(x102902,x102903,x102904,x102905,x102906,x102907,x102901)),x102905))+~P1(f318(f318(f318(f318(f34(x102901,f905(x102907,f905(x102906,a894))),x102905),x102904),x102903),x102902))
% 182.20/182.07 [10291]P1(f318(f318(f320(x102911),f766(x102912,x102913,x102914,x102915,x102916,x102917,x102911)),x102915))+~P1(f318(f318(f318(f318(f34(x102911,f905(x102917,f905(x102916,a894))),x102915),x102914),x102913),x102912))
% 182.20/182.07 [10324]P1(f318(f318(f318(x103241,f425(x103242,x103243,x103241,x103244,x103245,x103246,x103247)),x103243),x103242))+~P1(f318(f318(f318(f318(f34(x103247,f905(x103246,f905(x103245,a894))),x103244),x103241),x103243),x103242))
% 182.20/182.07 [10325]P1(f318(f318(f318(x103251,f766(x103252,x103253,x103251,x103254,x103255,x103256,x103257)),x103253),x103252))+~P1(f318(f318(f318(f318(f34(x103257,f905(x103256,f905(x103255,a894))),x103254),x103251),x103253),x103252))
% 182.20/182.07 [10340]~P1(f318(f318(f318(x103405,f593(x103407,x103406,x103405,x103404,x103403,x103402,x103401)),x103406),x103407))+P1(f318(f318(f318(f318(f35(x103401,f905(x103402,f905(x103403,a894))),x103404),x103405),x103406),x103407))
% 182.20/182.07 [10341]~P1(f318(f318(f318(x103415,f765(x103413,x103412,x103417,x103416,x103415,x103414,x103411)),x103416),x103417))+P1(f318(f318(f318(f318(f35(x103411,f905(x103412,f905(x103413,a894))),x103414),x103415),x103416),x103417))
% 182.20/182.07 [10358]~P1(f318(f318(f320(f904(x103581,x103583)),f318(f318(f243(x103581,x103583),x103586),x103587)),f318(f318(f280(x103581,x103582,x103583),x103584),x103585)))+P1(f318(f318(f244(x103581,x103582,x103583,f318(f318(f7(x103581,f905(f904(x103581,x103582),a894),f905(x103582,a894)),f318(f318(f8(f905(x103582,f905(f905(f904(x103581,x103582),a894),a894)),f905(f905(f904(x103581,x103582),a894),f905(x103582,a894)),x103581),f7(x103582,f905(f904(x103581,x103582),a894),a894)),f318(f318(f8(f905(x103582,f904(x103581,x103582)),f905(x103582,f905(f905(f904(x103581,x103582),a894),a894)),x103581),f318(f8(f904(x103581,x103582),f905(f905(f904(x103581,x103582),a894),a894),x103582),f320(f904(x103581,x103582)))),f243(x103581,x103582)))),x103584),f318(f318(f7(x103582,f905(f904(x103582,x103583),a894),f905(x103583,a894)),f318(f318(f8(f905(x103583,f905(f905(f904(x103582,x103583),a894),a894)),f905(f905(f904(x103582,x103583),a894),f905(x103583,a894)),x103582),f7(x103583,f905(f904(x103582,x103583),a894),a894)),f318(f318(f8(f905(x103583,f904(x103582,x103583)),f905(x103583,f905(f905(f904(x103582,x103583),a894),a894)),x103582),f318(f8(f904(x103582,x103583),f905(f905(f904(x103582,x103583),a894),a894),x103583),f320(f904(x103582,x103583)))),f243(x103582,x103583)))),x103585)),x103586),x103587))
% 182.20/182.07 [10368]P1(f318(f318(f320(f904(x103681,x103682)),f318(f318(f243(x103681,x103682),x103683),x103684)),f318(f318(f280(x103681,x103685,x103682),x103686),x103687)))+~P1(f318(f318(f244(x103681,x103685,x103682,f318(f318(f7(x103681,f905(f904(x103681,x103685),a894),f905(x103685,a894)),f318(f318(f8(f905(x103685,f905(f905(f904(x103681,x103685),a894),a894)),f905(f905(f904(x103681,x103685),a894),f905(x103685,a894)),x103681),f7(x103685,f905(f904(x103681,x103685),a894),a894)),f318(f318(f8(f905(x103685,f904(x103681,x103685)),f905(x103685,f905(f905(f904(x103681,x103685),a894),a894)),x103681),f318(f8(f904(x103681,x103685),f905(f905(f904(x103681,x103685),a894),a894),x103685),f320(f904(x103681,x103685)))),f243(x103681,x103685)))),x103686),f318(f318(f7(x103685,f905(f904(x103685,x103682),a894),f905(x103682,a894)),f318(f318(f8(f905(x103682,f905(f905(f904(x103685,x103682),a894),a894)),f905(f905(f904(x103685,x103682),a894),f905(x103682,a894)),x103685),f7(x103682,f905(f904(x103685,x103682),a894),a894)),f318(f318(f8(f905(x103682,f904(x103685,x103682)),f905(x103682,f905(f905(f904(x103685,x103682),a894),a894)),x103685),f318(f8(f904(x103685,x103682),f905(f905(f904(x103685,x103682),a894),a894),x103682),f320(f904(x103685,x103682)))),f243(x103685,x103682)))),x103687)),x103683),x103684))
% 182.20/182.07 [10300]~P140(x103002)+E(f318(f318(f6(x103001,x103002),f318(f318(f7(x103001,f905(x103003,a894),x103002),f318(f318(f8(f905(x103003,x103002),f905(f905(x103003,a894),x103002),x103001),f6(x103003,x103002)),f318(f318(f7(x103001,f905(x103003,x103002),f905(x103003,x103002)),f318(f318(f8(f905(x103002,x103002),f905(f905(x103003,x103002),f905(x103003,x103002)),x103001),f8(x103002,x103002,x103003)),f318(f318(f8(x103002,f905(x103002,x103002),x103001),f76(x103002)),x103004))),x103005))),x103006)),x103007),f318(f318(f76(x103002),f318(f318(f6(x103001,x103002),x103004),x103007)),f318(f318(f6(x103003,x103002),x103005),x103006)))
% 182.20/182.07 [9376]~P19(x93767,x93761,x93763,x93768)+E(f318(f67(x93761,x93761,x93762,f318(x93763,x93764)),f318(f67(x93761,x93761,x93762,f318(x93763,x93765)),x93766)),f318(f67(x93761,x93761,x93762,f318(x93763,x93765)),f318(f67(x93761,x93761,x93762,f318(x93763,x93764)),x93766)))
% 182.20/182.07 [10363]E(f318(f318(f243(x103631,x103632),f318(x103633,f513(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),f318(x103635,f514(x103634,x103635,x103633,x103636,x103637,x103638,x103632,x103631))),x103638)+~P1(f318(f318(f320(f904(x103631,x103632)),x103638),f318(f301(f904(x103637,x103636),f904(x103631,x103632),f249(x103637,x103631,x103636,x103632,x103633,x103635)),x103634)))
% 182.20/182.07 [10381]~P1(f318(f318(f320(f904(x103818,x103817)),x103816),f318(f301(f904(x103811,x103812),f904(x103818,x103817),f249(x103811,x103818,x103812,x103817,x103815,x103814)),x103813)))+P1(f318(f318(f320(f904(x103811,x103812)),f318(f318(f243(x103811,x103812),f513(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818)),f514(x103813,x103814,x103815,x103812,x103811,x103816,x103817,x103818))),x103813))
% 182.20/182.07 [9828]P1(f318(f318(f320(f904(f904(x98281,x98282),f904(x98281,x98282))),f318(f318(f243(f904(x98281,x98282),f904(x98281,x98282)),f318(f318(f243(x98281,x98282),x98283),x98284)),f318(f318(f243(x98281,x98282),x98285),x98286))),f310(x98281,x98282,x98287,x98288)))+~P1(f318(f318(f320(f904(x98281,x98281)),f318(f318(f243(x98281,x98281),x98283),x98285)),x98287))
% 182.20/182.07 [10352]E(f318(f133(x103521,x103522,f318(f7(x103522,x103521,x103521),x103523),f318(x103524,x103525)),x103526),f318(x103524,f318(f133(x103527,x103522,f318(f7(x103522,x103527,x103527),x103528),x103525),x103526)))+P1(f318(f318(f320(x103522),f713(x103525,x103528,x103524,x103523,x103527,x103521,x103526,x103522)),f318(f163(x103522),x103526)))
% 182.20/182.07 [10371]~E(f318(f67(x103711,x103711,x103717,f318(x103713,f713(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))),x103714),f318(f67(x103717,x103711,x103717,x103714),f318(x103718,f713(x103715,x103718,x103714,x103713,x103717,x103711,x103716,x103712))))+E(f318(f133(x103711,x103712,f318(f7(x103712,x103711,x103711),x103713),f318(x103714,x103715)),x103716),f318(x103714,f318(f133(x103717,x103712,f318(f7(x103712,x103717,x103717),x103718),x103715),x103716)))
% 182.20/182.07 [8587]E(f318(x85871,f318(x85872,x85873)),f318(x85874,f318(x85875,x85873)))+~E(f318(f67(x85876,x85877,x85878,x85871),x85872),f318(f67(x85879,x85877,x85878,x85874),x85875))
% 182.20/182.07 [10209]P1(f318(f318(f320(f904(x102091,x102092)),f318(f318(f243(x102091,x102092),f318(x102093,x102094)),f318(x102095,x102096))),f318(f301(f904(x102097,x102098),f904(x102091,x102092),f249(x102097,x102091,x102098,x102092,x102093,x102095)),x102099)))+~P1(f318(f318(f320(f904(x102097,x102098)),f318(f318(f243(x102097,x102098),x102094),x102096)),x102099))
% 182.20/182.07 [8882]~E(f318(x88824,f318(x88825,x88826)),f318(x88829,f318(x888210,x888211)))+E(f318(f318(f67(x88821,x88822,x88823,x88824),x88825),x88826),f318(f318(f67(x88827,x88822,x88828,x88829),x888210),x888211))
% 182.20/182.07 [4649]~P82(x46491)+~P102(x46491)+E(f92(x46491),f224(x46491))
% 182.20/182.07 [4650]~P82(x46501)+~P104(x46501)+E(f101(x46501),f225(x46501))
% 182.20/182.07 [4895]~P110(x48951)+~P95(x48951)+E(f318(f70(x48951),f318(f94(x48951),a88)),f73(x48951))
% 182.20/182.07 [5188]E(x51881,f2(a1))+E(f77(a1,x51881),f318(f74(a1),f73(a1)))+P1(f318(f318(f227(a1),f2(a1)),x51881))
% 182.20/182.07 [5393]E(x53931,f2(a1))+E(f77(a1,x53931),f73(a1))+~P1(f318(f318(f227(a1),f2(a1)),x53931))
% 182.20/182.07 [7452]~P39(x74521)+P1(f318(f28(a1),x74521))+~P1(f318(f28(a898),f318(f301(a1,a898,a95),x74521)))
% 182.20/182.07 [9790]E(x97901,f179(f905(f904(a898,a898),a894)))+~P1(f318(f28(f904(a898,a898)),x97901))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f179(f905(f904(a898,a898),a894))),x97901)),a27))
% 182.20/182.07 [9951]E(x99511,f2(a898))+E(x99511,f318(a103,f2(a898)))+~P1(f318(f318(f227(a898),x99511),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.20/182.07 [10238]E(x102381,f2(a90))+E(f318(f318(f75(a1),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(a22,f318(f318(f30(a90),x102381),f318(f94(a90),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))),f73(a1)),f318(a22,x102381))+E(f40(a90,x102381,f318(f94(a90),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f2(a90))
% 182.20/182.07 [10087]E(x100871,f2(a90))+~E(f40(a90,x100871,f318(f94(a90),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f2(a90))+E(f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(a22,f318(f318(f30(a90),x100871),f318(f94(a90),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f318(a22,x100871))
% 182.20/182.07 [4730]~P56(x47301,x47302)+P43(x47301,x47302)+~P44(a894)
% 182.20/182.07 [4659]~P144(x46591)+P27(x46591,x46592)+~E(x46592,f2(x46591))
% 182.20/182.07 [4660]~P82(x46601)+P13(x46601,x46602)+~E(x46602,f104(x46601))
% 182.20/182.07 [4669]~P110(x46691)+~E(x46692,f2(x46691))+E(f77(x46691,x46692),f2(x46691))
% 182.20/182.07 [4670]~P92(x46701)+~E(x46702,f2(x46701))+E(f77(x46701,x46702),f2(x46701))
% 182.20/182.07 [4678]~P144(x46782)+~P27(x46782,x46781)+E(x46781,f2(x46782))
% 182.20/182.07 [4723]~P110(x47232)+~E(f77(x47232,x47231),f2(x47232))+E(x47231,f2(x47232))
% 182.20/182.07 [4737]~P2(x47372)+~P2(x47371)+P2(f905(x47371,x47372))
% 182.20/182.07 [4738]~P2(x47382)+~P2(x47381)+P2(f903(x47381,x47382))
% 182.20/182.07 [4739]~P2(x47392)+~P2(x47391)+P2(f904(x47391,x47392))
% 182.20/182.07 [4740]~P6(x47402)+~P6(x47401)+P6(f185(x47401,x47402))
% 182.20/182.07 [4741]~P59(x47412)+~P59(x47411)+P59(f905(x47411,x47412))
% 182.20/182.07 [4742]~P59(x47422)+~P59(x47421)+P59(f903(x47421,x47422))
% 182.20/182.07 [4743]~P59(x47432)+~P59(x47431)+P59(f904(x47431,x47432))
% 182.20/182.07 [4744]~P106(x47442)+~P106(x47441)+P106(f904(x47441,x47442))
% 182.20/182.07 [4867]~P82(x48671)+~P13(x48671,x48672)+P13(x48671,f143(x48671,x48672))
% 182.20/182.07 [5115]~P6(x51152)+~P6(x51151)+P6(f40(a1,x51151,x51152))
% 182.20/182.07 [4680]~P76(x46801)+~E(x46802,f2(x46801))+E(f318(f74(x46801),x46802),x46802)
% 182.20/182.07 [4695]~P127(x46951)+~E(x46952,f2(a1))+E(f318(f93(x46951),x46952),f2(x46951))
% 182.20/182.07 [4696]~P94(x46961)+~E(x46962,f2(a1))+E(f318(f93(x46961),x46962),f2(x46961))
% 182.20/182.07 [4720]~P73(x47201)+~E(f2(x47201),x47202)+E(f318(f74(x47201),x47202),f2(x47201))
% 182.20/182.07 [4721]~P87(x47211)+~E(x47212,f2(x47211))+E(f318(f70(x47211),x47212),f2(x47211))
% 182.20/182.07 [4722]~P73(x47221)+~E(x47222,f2(x47221))+E(f318(f74(x47221),x47222),f2(x47221))
% 182.20/182.07 [4746]~P76(x47462)+E(x47461,f2(x47462))+~E(f318(f74(x47462),x47461),x47461)
% 182.20/182.07 [4748]E(x47481,f318(a95,x47482))+~E(x47481,f2(a898))+~E(x47482,f318(f91(a1),x47481))
% 182.20/182.07 [4749]E(f318(a95,x47491),x47492)+~E(x47492,f2(a898))+~E(x47491,f318(f91(a1),x47492))
% 182.20/182.07 [4753]~P94(x47532)+E(x47531,f2(a1))+~E(f318(f93(x47532),x47531),f2(x47532))
% 182.20/182.07 [4757]~P87(x47572)+E(x47571,f2(x47572))+~E(f318(f70(x47572),x47571),f2(x47572))
% 182.20/182.07 [4758]~P73(x47582)+E(x47581,f2(x47582))+~E(f318(f74(x47582),x47581),f2(x47582))
% 182.20/182.07 [4759]~P73(x47591)+E(f2(x47591),x47592)+~E(f318(f74(x47591),x47592),f2(x47591))
% 182.20/182.07 [4942]~P82(x49421)+~P13(x49421,x49422)+P13(x49421,f318(f162(x49421),x49422))
% 182.20/182.07 [4969]~P1(x49692)+~P1(x49691)+P1(f318(f318(a316,x49691),x49692))
% 182.20/182.07 [5007]~E(f73(a898),f2(a898))+E(f318(f29(x50071),x50072),f2(a898))+~P1(f318(f28(x50071),x50072))
% 182.20/182.07 [5043]~P140(x50431)+~P113(x50431)+E(f318(f318(f235(x50431),f2(x50431)),f318(a103,x50432)),f2(x50431))
% 182.20/182.07 [5083]~P82(x50831)+P13(x50831,f130(x50831,x50832))+~P1(f318(f28(x50831),x50832))
% 182.20/182.07 [5084]~P82(x50841)+P13(x50841,f705(x50842,x50841))+~P1(f318(f28(x50841),x50842))
% 182.20/182.07 [5107]~P82(x51071)+E(f318(f163(x51071),f130(x51071,x51072)),x51072)+~P1(f318(f28(x51071),x51072))
% 182.20/182.07 [5108]~P82(x51081)+E(f318(f163(x51081),f705(x51082,x51081)),x51082)+~P1(f318(f28(x51081),x51082))
% 182.20/182.07 [5137]P1(x51371)+P1(x51372)+~P1(f318(f318(a317,x51372),x51371))
% 182.20/182.07 [5150]E(x51501,f179(f905(x51502,a894)))+~E(f318(f29(x51502),x51501),f2(a898))+~P1(f318(f28(x51502),x51501))
% 182.20/182.07 [5155]P1(x51551)+~P1(x51552)+~P1(f318(f318(a321,x51552),x51551))
% 182.20/182.07 [5206]~P72(x52061)+E(f318(f70(x52061),x52062),x52062)+P1(f318(f318(f227(x52061),x52062),f2(x52061)))
% 182.20/182.07 [5266]~P59(x52662)+~P1(f318(f51(x52662),x52661))+P1(f318(x52661,f706(x52661,x52662)))
% 182.20/182.07 [5267]~P59(x52672)+~P1(f318(f51(x52672),x52671))+P1(f318(x52671,f714(x52671,x52672)))
% 182.20/182.07 [5308]E(x53081,f104(x53082))+P1(f318(f128(x53082),f105(x53082,x53081)))+~P1(f318(f128(x53082),x53081))
% 182.20/182.07 [5313]~P82(x53131)+~P1(f318(f28(x53131),x53132))+P1(f318(f128(x53131),f130(x53131,x53132)))
% 182.20/182.07 [5314]~P82(x53141)+~P1(f318(f28(x53141),x53142))+P1(f318(f128(x53141),f705(x53142,x53141)))
% 182.20/182.07 [5319]~P127(x53191)+E(f318(f91(x53191),f318(a95,x53192)),f318(f93(x53191),x53192))+P1(f318(f318(f227(a1),x53192),f2(a1)))
% 182.20/182.07 [5340]P7(x53402,x53401)+E(f318(x53401,f466(x53401)),f318(x53401,f470(x53401)))+P1(f318(f318(x53401,f466(x53401)),f470(x53401)))
% 182.20/182.07 [5353]E(f318(f91(a1),f361(x53531,x53532)),x53531)+P1(f318(x53532,f318(a95,x53531)))+~P1(f318(x53532,f2(a898)))
% 182.20/182.07 [5366]~P59(x53661)+~P1(f318(x53662,f719(x53662,x53661)))+P1(f318(f52(x53661),x53662))
% 182.20/182.07 [5367]~P59(x53671)+~P1(f318(x53672,f729(x53672,x53671)))+P1(f318(f52(x53671),x53672))
% 182.20/182.07 [5403]~P110(x54031)+~E(f77(x54031,x54032),f318(f74(x54031),f73(x54031)))+P1(f318(f318(f227(x54031),x54032),f2(x54031)))
% 182.20/182.07 [5478]~E(x54782,f2(a1))+E(f206(x54781,x54782),f318(f318(f243(a1,a1),f2(a1)),f73(a1)))+P1(f318(f318(f227(a1),x54782),f2(a1)))
% 182.20/182.07 [5479]~E(x54791,f2(a1))+E(f206(x54791,x54792),f318(f318(f243(a1,a1),f2(a1)),f73(a1)))+P1(f318(f318(f227(a1),x54792),f2(a1)))
% 182.20/182.07 [5532]E(f318(f91(a1),f361(x55321,x55322)),x55321)+P1(f318(x55322,f318(a95,x55321)))+P1(f318(f318(f227(a1),x55321),f2(a1)))
% 182.20/182.07 [5600]~P110(x56001)+E(f77(x56001,x56002),f318(f74(x56001),f73(x56001)))+~P1(f318(f318(f227(x56001),x56002),f2(x56001)))
% 182.20/182.07 [5601]~P87(x56011)+E(f318(f70(x56011),x56012),f318(f74(x56011),x56012))+~P1(f318(f318(f226(x56011),x56012),f2(x56011)))
% 182.20/182.07 [5602]~P87(x56021)+E(f318(f70(x56021),x56022),f318(f74(x56021),x56022))+~P1(f318(f318(f227(x56021),x56022),f2(x56021)))
% 182.20/182.07 [5603]~P72(x56031)+E(f318(f70(x56031),x56032),f318(f74(x56031),x56032))+~P1(f318(f318(f227(x56031),x56032),f2(x56031)))
% 182.20/182.07 [5703]~P1(f318(x57031,f361(x57032,x57031)))+P1(f318(x57031,f318(a95,x57032)))+~P1(f318(x57031,f2(a898)))
% 182.20/182.07 [5710]E(x57101,f2(a898))+E(f318(a103,f544(x57102,x57101)),x57101)+~P1(f318(f318(f227(a898),x57101),f318(a103,x57102)))
% 182.20/182.07 [5714]P7(x57141,x57142)+~E(f318(x57142,f466(x57142)),f318(x57142,f470(x57142)))+~P1(f318(f318(x57142,f466(x57142)),f470(x57142)))
% 182.20/182.07 [5732]~P82(x57321)+P13(x57321,x57322)+P1(f318(f318(f226(a898),f688(x57322,x57321)),f689(x57322,x57321)))
% 182.20/182.07 [5733]~P82(x57331)+P13(x57331,x57332)+P1(f318(f318(f226(a898),f696(x57332,x57331)),f700(x57332,x57331)))
% 182.20/182.07 [5819]~P87(x58191)+~E(x58192,f2(x58191))+P1(f318(f318(f226(x58191),f318(f70(x58191),x58192)),f2(x58191)))
% 182.20/182.07 [5916]~P1(f318(x59161,f361(x59162,x59161)))+P1(f318(x59161,f318(a95,x59162)))+P1(f318(f318(f227(a1),x59162),f2(a1)))
% 182.20/182.07 [5941]~P1(f318(x59411,f318(a95,x59412)))+P1(f318(x59411,f2(a898)))+~P1(f318(f318(f227(a1),x59412),f2(a1)))
% 182.20/182.07 [6294]~P110(x62941)+~P1(f318(f318(f227(x62941),x62942),f2(x62941)))+P1(f318(f318(f227(x62941),f77(x62941,x62942)),f2(x62941)))
% 182.20/182.07 [6414]~P110(x64141)+P1(f318(f318(f226(x64141),f318(f93(x64141),x64142)),f2(x64141)))+~P1(f318(f318(f226(a1),x64142),f2(a1)))
% 182.20/182.07 [6415]~P110(x64151)+P1(f318(f318(f227(x64151),f318(f93(x64151),x64152)),f2(x64151)))+~P1(f318(f318(f227(a1),x64152),f2(a1)))
% 182.20/182.07 [6424]~P87(x64242)+E(x64241,f2(x64242))+~P1(f318(f318(f226(x64242),f318(f70(x64242),x64241)),f2(x64242)))
% 182.20/182.07 [6502]~P127(x65021)+~P1(f318(f318(f320(x65021),x65022),f100(x65021)))+P1(f318(f318(f320(x65021),f318(f74(x65021),x65022)),f100(x65021)))
% 182.20/182.07 [6534]~P110(x65341)+~P1(f318(f318(f227(x65341),f77(x65341,x65342)),f2(x65341)))+P1(f318(f318(f227(x65341),x65342),f2(x65341)))
% 182.20/182.07 [6712]~P110(x67122)+~P1(f318(f318(f226(x67122),f318(f93(x67122),x67121)),f2(x67122)))+P1(f318(f318(f226(a1),x67121),f2(a1)))
% 182.20/182.07 [6713]~P110(x67132)+~P1(f318(f318(f227(x67132),f318(f93(x67132),x67131)),f2(x67132)))+P1(f318(f318(f227(a1),x67131),f2(a1)))
% 182.20/182.07 [7227]~P76(x72271)+~P1(f318(f318(f226(x72271),x72272),f2(x72271)))+P1(f318(f318(f226(x72271),f318(f318(f75(x72271),x72272),x72272)),f2(x72271)))
% 182.20/182.07 [7228]~P110(x72281)+~P1(f318(f318(f227(x72281),x72282),f2(x72281)))+P1(f318(f318(f227(x72281),f318(f318(f75(x72281),x72282),x72282)),f2(x72281)))
% 182.20/182.07 [7229]~P76(x72291)+~P1(f318(f318(f227(x72291),x72292),f2(x72291)))+P1(f318(f318(f227(x72291),f318(f318(f75(x72291),x72292),x72292)),f2(x72291)))
% 182.20/182.07 [7799]~P76(x77991)+~P1(f318(f318(f226(x77991),f318(f318(f75(x77991),x77992),x77992)),f2(x77991)))+P1(f318(f318(f226(x77991),x77992),f2(x77991)))
% 182.20/182.07 [7800]~P110(x78001)+~P1(f318(f318(f227(x78001),f318(f318(f75(x78001),x78002),x78002)),f2(x78001)))+P1(f318(f318(f227(x78001),x78002),f2(x78001)))
% 182.20/182.07 [7801]~P76(x78011)+~P1(f318(f318(f227(x78011),f318(f318(f75(x78011),x78012),x78012)),f2(x78011)))+P1(f318(f318(f227(x78011),x78012),f2(x78011)))
% 182.20/182.07 [4794]~E(x47942,f2(a898))+~E(x47941,f2(a898))+E(f318(f318(f75(a898),x47941),x47942),f2(a898))
% 182.20/182.07 [4795]~E(x47952,f73(a898))+~E(x47951,f73(a898))+E(f318(f318(f76(a898),x47951),x47952),f73(a898))
% 182.20/182.07 [4796]~E(x47962,f73(a1))+~E(x47961,f73(a1))+E(f318(f318(f76(a1),x47961),x47962),f73(a1))
% 182.20/182.07 [4851]~P121(x48512)+E(x48511,f2(x48512))+E(f318(f318(f282(x48512),x48511),x48511),f73(x48512))
% 182.20/182.07 [4852]~P3(x48522)+E(x48521,f2(x48522))+E(f318(f318(f30(x48522),x48521),x48521),f73(x48522))
% 182.20/182.07 [4853]~P122(x48532)+E(x48531,f2(x48532))+E(f318(f318(f282(x48532),x48531),x48531),f73(x48532))
% 182.20/182.07 [4871]~P76(x48711)+~E(x48712,f2(x48711))+E(f318(f318(f75(x48711),x48712),x48712),f2(x48711))
% 182.20/182.07 [4874]~P142(x48741)+~E(x48742,f73(x48741))+E(f318(f318(f76(x48741),x48742),x48742),f73(x48741))
% 182.20/182.07 [4875]~P122(x48751)+~E(x48752,f2(x48751))+E(f318(f318(f282(x48751),x48752),x48752),f2(x48751))
% 182.20/182.07 [4920]~E(x49202,f2(a898))+~E(x49201,f2(a898))+E(f318(f74(a1),f318(f91(a1),x49201)),f318(f91(a1),x49202))
% 182.20/182.07 [4939]E(x49391,f73(a898))+E(x49392,f2(a898))+~E(f318(f318(f76(a898),x49392),x49391),x49392)
% 182.20/182.07 [4951]E(x49511,f2(a898))+E(x49512,f2(a898))+~E(f318(f318(f76(a898),x49512),x49511),f2(a898))
% 182.20/182.07 [4978]~E(x49782,f2(a898))+~E(x49781,f318(a103,f2(a898)))+E(f318(f318(f75(a898),x49781),x49782),f318(a103,f2(a898)))
% 182.20/182.07 [4979]~E(x49791,f2(a898))+~E(x49792,f318(a103,f2(a898)))+E(f318(f318(f75(a898),x49791),x49792),f318(a103,f2(a898)))
% 182.20/182.07 [4986]E(x49861,f73(a1))+E(x49862,f318(f94(a1),a88))+~E(f318(f318(f76(a1),x49861),x49862),f73(a1))
% 182.20/182.07 [4987]E(x49871,f73(a1))+E(x49872,f318(f94(a1),a88))+~E(f318(f318(f76(a1),x49872),x49871),f73(a1))
% 182.20/182.07 [4988]E(x49881,f73(a1))+E(x49881,f318(f94(a1),a88))+~E(f318(f318(f76(a1),x49882),x49881),f73(a1))
% 182.20/182.07 [4990]E(x49901,f73(a1))+E(x49901,f318(f94(a1),a88))+~E(f318(f318(f76(a1),x49901),x49902),f73(a1))
% 182.20/182.07 [5015]~P76(x50152)+E(x50151,f2(x50152))+~E(f318(f318(f75(x50152),x50151),x50151),f2(x50152))
% 182.20/182.07 [5021]~E(x50211,f318(f94(a1),a88))+~E(x50212,f318(f94(a1),a88))+E(f318(f318(f76(a1),x50211),x50212),f73(a1))
% 182.20/182.07 [5032]E(x50321,f2(a898))+E(x50322,f2(a898))+~E(f318(f318(f75(a898),x50322),x50321),f318(a103,f2(a898)))
% 182.20/182.07 [5042]~P60(x50421)+~P95(x50421)+E(f318(f318(f282(x50421),x50422),f318(f94(x50421),a78)),f2(x50421))
% 182.20/182.07 [5049]~P142(x50491)+~E(x50492,f318(f74(x50491),f73(x50491)))+E(f318(f318(f76(x50491),x50492),x50492),f73(x50491))
% 182.20/182.07 [5054]~P6(x50542)+~P6(x50541)+P6(f318(f318(f75(a1),x50541),x50542))
% 182.20/182.07 [5055]~P6(x50552)+~P6(x50551)+P6(f318(f318(f76(a1),x50551),x50552))
% 182.20/182.07 [5056]~P6(x50562)+~P6(x50561)+P6(f318(f318(f30(a1),x50561),x50562))
% 182.20/182.07 [5058]~E(x50582,f2(a1))+E(x50581,f2(a1))+E(f41(x50581,x50582),f318(f318(f243(a1,a1),f2(a1)),x50581))
% 182.20/182.07 [5081]~E(x50812,f318(a103,f2(a898)))+~E(x50811,f318(a103,f2(a898)))+E(f318(f318(f76(a898),x50811),x50812),f318(a103,f2(a898)))
% 182.20/182.07 [5098]E(x50981,f2(a898))+E(x50982,f318(a103,f2(a898)))+~E(f318(f318(f235(a898),x50982),x50981),f318(a103,f2(a898)))
% 182.20/182.07 [5099]E(x50991,f2(a898))+E(x50991,f318(a103,f2(a898)))+~E(f318(f318(f75(a898),x50992),x50991),f318(a103,f2(a898)))
% 182.20/182.07 [5100]E(x51001,f2(a898))+E(x51001,f318(a103,f2(a898)))+~E(f318(f318(f75(a898),x51001),x51002),f318(a103,f2(a898)))
% 182.20/182.07 [5109]~P60(x51091)+~P95(x51091)+E(f318(f318(f282(x51091),x51092),f318(f94(x51091),a88)),f318(f74(x51091),x51092))
% 182.20/182.07 [5129]E(x51291,f318(a95,x51292))+~E(x51291,f2(a898))+P1(f318(f318(f226(a1),f2(a1)),x51292))
% 182.20/182.07 [5130]E(f318(a95,x51301),x51302)+~E(x51302,f2(a898))+P1(f318(f318(f226(a1),f2(a1)),x51301))
% 182.20/182.07 [5146]E(x51461,f318(a103,f2(a898)))+E(x51462,f318(a103,f2(a898)))+~E(f318(f318(f75(a898),x51461),x51462),f318(a103,f2(a898)))
% 182.20/182.07 [5157]~E(x51571,f318(a95,x51572))+E(x51571,f2(a898))+P1(f318(f318(f226(a1),f2(a1)),x51572))
% 182.20/182.07 [5158]~E(f318(a95,x51582),x51581)+E(x51581,f2(a898))+P1(f318(f318(f226(a1),f2(a1)),x51582))
% 182.20/182.07 [5181]~P83(x51811)+E(f318(f57(x51811,f92(x51811)),x51812),f10(x51811,x51812))+~P1(f318(f28(x51811),x51812))
% 182.20/182.07 [5182]~P83(x51821)+E(f318(f57(x51821,f101(x51821)),x51822),f13(x51821,x51822))+~P1(f318(f28(x51821),x51822))
% 182.20/182.07 [5183]~P82(x51831)+E(f318(f57(x51831,f224(x51831)),x51832),f14(x51831,x51832))+~P1(f318(f28(x51831),x51832))
% 182.20/182.07 [5184]~P82(x51841)+E(f318(f57(x51841,f225(x51841)),x51842),f15(x51841,x51842))+~P1(f318(f28(x51841),x51842))
% 182.20/182.07 [5261]E(x52611,x52612)+~E(f318(f318(f23(a898),x52612),x52611),f2(a898))+~E(f318(f318(f23(a898),x52611),x52612),f2(a898))
% 182.20/182.07 [5278]P6(x52781)+~P39(x52782)+~P1(f318(f318(f320(a1),x52781),x52782))
% 182.20/182.07 [5309]~P110(x53091)+~E(f77(x53091,x53092),f73(x53091))+P1(f318(f318(f227(x53091),f2(x53091)),x53092))
% 182.20/182.07 [5320]~P95(x53201)+E(f318(f91(x53201),f318(f94(a898),x53202)),f318(f94(x53201),x53202))+P1(f318(a184,f318(f94(a1),x53202)))
% 182.20/182.07 [5325]~P43(x53251,x53252)+P44(a894)+P1(f318(f28(f904(x53251,x53251)),x53252))
% 182.20/182.07 [5395]~P82(x53951)+E(f318(f57(x53951,f224(x53951)),x53952),f11(x53951,f224(x53951),x53952))+~P1(f318(f28(x53951),x53952))
% 182.20/182.07 [5396]~P82(x53961)+E(f318(f57(x53961,f225(x53961)),x53962),f12(x53961,f225(x53961),x53962))+~P1(f318(f28(x53961),x53962))
% 182.20/182.07 [5410]E(x54101,x54102)+P1(f318(f318(f227(a898),x54102),x54101))+P1(f318(f318(f227(a898),x54101),x54102))
% 182.20/182.07 [5411]E(x54111,x54112)+P1(f318(f318(f227(a1),x54112),x54111))+P1(f318(f318(f227(a1),x54111),x54112))
% 182.20/182.07 [5465]~P95(x54651)+E(f318(f91(x54651),f318(f94(a898),x54652)),f2(x54651))+~P1(f318(a184,f318(f94(a1),x54652)))
% 182.20/182.07 [5468]~E(x54682,f318(a95,x54681))+E(x54681,f318(f91(a1),x54682))+~P1(f318(f318(f226(a1),f2(a1)),x54681))
% 182.20/182.07 [5469]~E(f318(a95,x54691),x54692)+E(x54691,f318(f91(a1),x54692))+~P1(f318(f318(f226(a1),f2(a1)),x54691))
% 182.20/182.07 [5470]~E(x54701,f318(a95,x54702))+E(f318(f91(a1),x54701),x54702)+~P1(f318(f318(f226(a1),f2(a1)),x54702))
% 182.20/182.07 [5480]E(x54801,f318(a95,x54802))+~E(x54802,f318(f91(a1),x54801))+~P1(f318(f318(f226(a1),f2(a1)),x54802))
% 182.20/182.07 [5481]E(f318(a95,x54811),x54812)+~E(x54811,f318(f91(a1),x54812))+~P1(f318(f318(f226(a1),f2(a1)),x54811))
% 182.20/182.07 [5512]~P111(x55122)+E(x55121,f2(x55122))+~P1(f318(f318(f278(x55122),f2(x55122)),x55121))
% 182.20/182.07 [5523]~P87(x55232)+E(x55231,f2(x55232))+P1(f318(f318(f227(x55232),f2(x55232)),f318(f70(x55232),x55231)))
% 182.20/182.07 [5587]~P110(x55871)+E(f77(x55871,x55872),f73(x55871))+~P1(f318(f318(f227(x55871),f2(x55871)),x55872))
% 182.20/182.07 [5593]~P95(x55931)+E(f318(f91(x55931),f318(f94(a898),x55932)),f2(x55931))+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x55932)))
% 182.20/182.07 [5604]~P87(x56041)+E(f318(f70(x56041),x56042),x56042)+~P1(f318(f318(f226(x56041),f2(x56041)),x56042))
% 182.20/182.07 [5605]~P87(x56051)+E(f318(f70(x56051),x56052),x56052)+~P1(f318(f318(f227(x56051),f2(x56051)),x56052))
% 182.20/182.07 [5614]E(x56141,f2(a898))+~E(f130(a898,f318(f293(a898,x56142),x56141)),f104(a898))+P1(f318(f318(f226(a898),x56141),x56142))
% 182.20/182.07 [5624]~P74(x56241)+E(f318(f318(f6(x56241,x56241),f5(x56241)),f318(f163(x56241),x56242)),f318(f156(x56241),x56242))+~P1(f318(f128(x56241),x56242))
% 182.20/182.07 [5627]~P127(x56271)+E(f318(f91(x56271),f318(a95,x56272)),f318(f93(x56271),x56272))+~P1(f318(f318(f226(a1),f2(a1)),x56272))
% 182.20/182.07 [5654]E(x56541,x56542)+P1(f318(f318(f227(a898),x56541),x56542))+~P1(f318(f318(f226(a898),x56541),x56542))
% 182.20/182.07 [5655]E(x56551,x56552)+P1(f318(f318(f227(a1),x56551),x56552))+~P1(f318(f318(f226(a1),x56551),x56552))
% 182.20/182.07 [5658]E(x56581,f73(a1))+~E(f318(f318(f76(a1),x56582),x56581),f73(a1))+~P1(f318(f318(f227(a1),f2(a1)),x56582))
% 182.20/182.07 [5659]E(x56591,f73(a1))+~E(f318(f318(f76(a1),x56591),x56592),f73(a1))+~P1(f318(f318(f227(a1),f2(a1)),x56591))
% 182.20/182.07 [5700]~P39(x57002)+P1(f318(f318(f226(a1),f2(a1)),x57001))+~P1(f318(f318(f320(a1),x57001),x57002))
% 182.20/182.07 [5719]~P56(x57191,x57192)+P36(x57191,x57192)+~P1(f318(f28(f904(x57191,x57191)),x57192))
% 182.20/182.07 [5721]~P56(x57211,x57212)+P43(x57211,x57212)+~P1(f318(f28(f904(x57211,x57211)),x57212))
% 182.20/182.07 [5763]E(x57631,f179(f905(x57632,a894)))+~P1(f318(f28(x57632),x57631))+P1(f318(f318(f227(a898),f2(a898)),f318(f29(x57632),x57631)))
% 182.20/182.07 [5790]~P1(f318(x57901,x57902))+P1(f318(x57901,f2(a898)))+P1(f318(f318(f227(a898),f730(x57902,x57901)),x57902))
% 182.20/182.07 [5813]E(x58131,f2(a898))+~E(f318(f156(a898),x58132),f2(a898))+~P1(f318(f318(f320(a898),x58131),f318(f163(a898),x58132)))
% 182.20/182.07 [5881]E(x58811,x58812)+~P1(f318(f318(f226(a898),x58812),x58811))+~P1(f318(f318(f226(a898),x58811),x58812))
% 182.20/182.07 [5882]E(x58821,x58822)+~P1(f318(f318(f226(a1),x58822),x58821))+~P1(f318(f318(f226(a1),x58821),x58822))
% 182.20/182.07 [5891]E(x58911,x58912)+~P1(f318(f318(f278(a898),x58912),x58911))+~P1(f318(f318(f278(a898),x58911),x58912))
% 182.20/182.07 [5893]E(f318(f29(x58931),x58932),f2(a898))+~P1(f318(f28(x58931),x58932))+P1(f318(f318(f320(x58931),f441(x58932,x58931)),x58932))
% 182.20/182.07 [5902]E(f45(x59021,x59022),f41(x59021,x59022))+P1(f318(f318(f226(a1),f2(a1)),x59021))+~P1(f318(f318(f227(a1),f2(a1)),x59022))
% 182.20/182.07 [5928]~P1(f318(x59281,f358(x59281)))+P1(f318(x59281,f318(a95,x59282)))+~P1(f318(f318(f226(a1),f2(a1)),x59282))
% 182.20/182.07 [5931]P1(f318(f318(f226(a898),x59311),f867(x59312)))+~P1(f318(f28(a898),x59312))+~P1(f318(f318(f320(a898),x59311),x59312))
% 182.20/182.07 [5932]P1(f318(f318(f227(a898),x59321),f802(x59322)))+~P1(f318(f28(a898),x59322))+~P1(f318(f318(f320(a898),x59321),x59322))
% 182.20/182.07 [5963]E(x59631,x59632)+~P1(f318(f318(f227(a898),x59631),f318(a103,x59632)))+P1(f318(f318(f227(a898),x59631),x59632))
% 182.20/182.07 [6000]E(x60001,f318(a103,x60002))+~P1(f318(f318(f226(a898),x60001),f318(a103,x60002)))+P1(f318(f318(f226(a898),x60001),x60002))
% 182.20/182.07 [6016]P1(f318(x60161,f359(x60161)))+~P1(f318(x60161,f318(a95,x60162)))+~P1(f318(f318(f226(a1),f2(a1)),x60162))
% 182.20/182.07 [6032]~P1(f318(x60321,x60322))+~P1(f318(f318(f226(a1),f2(a1)),x60322))+P1(f318(x60321,f318(f91(a1),f877(x60321))))
% 182.20/182.07 [6043]~P87(x60432)+~E(x60431,f2(x60432))+~P1(f318(f318(f227(x60432),f2(x60432)),f318(f70(x60432),x60431)))
% 182.20/182.07 [6068]~P56(x60681,x60682)+P36(x60681,f318(f277(x60681,x60681),x60682))+~P1(f318(f28(f904(x60681,x60681)),x60682))
% 182.20/182.07 [6077]~P95(x60771)+E(f318(f91(x60771),f318(f94(a898),x60772)),f318(f94(x60771),x60772))+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x60772)))
% 182.20/182.07 [6080]E(f318(a103,x60801),x60802)+~P1(f318(f318(f227(a898),x60801),x60802))+P1(f318(f318(f227(a898),f318(a103,x60801)),x60802))
% 182.20/182.07 [6096]E(f318(f318(f30(a1),x60961),x60962),f2(a1))+~P1(f318(f318(f226(a1),x60961),f2(a1)))+~P1(f318(f318(f227(a1),x60962),x60961))
% 182.20/182.07 [6108]E(f40(a1,x61081,x61082),x61081)+~P1(f318(f318(f226(a1),x61081),f2(a1)))+~P1(f318(f318(f227(a1),x61082),x61081))
% 182.20/182.07 [6122]E(f42(x61221,x61222),f41(x61221,x61222))+~P1(f318(f318(f226(a1),f2(a1)),x61221))+~P1(f318(f318(f226(a1),f2(a1)),x61222))
% 182.20/182.07 [6132]E(f318(f318(f30(a1),x61321),x61322),f2(a1))+~P1(f318(f318(f226(a1),f2(a1)),x61321))+~P1(f318(f318(f227(a1),x61321),x61322))
% 182.20/182.07 [6143]E(f40(a898,f318(f94(a898),x61431),f318(f94(a898),x61432)),f318(f94(a898),x61431))+P1(f318(a184,f318(f94(a1),x61431)))+~P1(f318(a184,f318(f94(a1),x61432)))
% 182.20/182.07 [6145]E(f40(a1,x61451,x61452),x61451)+~P1(f318(f318(f226(a1),f2(a1)),x61451))+~P1(f318(f318(f227(a1),x61451),x61452))
% 182.20/182.07 [6146]E(x61461,x61462)+~P1(f318(f318(f227(a898),x61461),f318(a103,x61462)))+~P1(f318(f318(f226(a898),x61462),x61461))
% 182.20/182.07 [6160]~P76(x61601)+~P1(f318(f318(f226(x61601),x61602),f2(x61601)))+P1(f318(f318(f226(x61601),x61602),f318(f74(x61601),x61602)))
% 182.20/182.07 [6161]~P110(x61611)+~P1(f318(f318(f227(x61611),x61612),f2(x61611)))+P1(f318(f318(f227(x61611),x61612),f318(f74(x61611),x61612)))
% 182.20/182.07 [6170]~P5(x61701)+E(f318(f318(f58(x61701,x61701,f92(x61701)),f233(x61701)),x61702),f32(x61701,x61702))+~P1(f318(f28(x61701),x61702))
% 182.20/182.07 [6171]~P5(x61711)+E(f318(f318(f58(x61711,x61711,f101(x61711)),f179(x61711)),x61712),f31(x61711,x61712))+~P1(f318(f28(x61711),x61712))
% 182.20/182.07 [6188]~P110(x61881)+~P1(f318(f318(f226(a1),f2(a1)),x61882))+P1(f318(f318(f226(x61881),f2(x61881)),f318(f93(x61881),x61882)))
% 182.20/182.07 [6189]~P109(x61891)+~P1(f318(f318(f227(a898),f2(a898)),x61892))+P1(f318(f318(f227(x61891),f2(x61891)),f318(f91(x61891),x61892)))
% 182.20/182.07 [6190]~P110(x61901)+~P1(f318(f318(f227(a1),f2(a1)),x61902))+P1(f318(f318(f227(x61901),f2(x61901)),f318(f93(x61901),x61902)))
% 182.20/182.07 [6193]~P6(x61932)+~P6(x61931)+E(f318(f301(a898,a1,f91(a1)),f294(a898,f318(a95,x61931),f318(a95,x61932))),f294(a1,x61931,x61932))
% 182.20/182.07 [6199]P1(f318(x61991,x61992))+~P1(f318(f318(f226(a1),f2(a1)),x61992))+~P1(f318(x61991,f318(f91(a1),f880(x61991))))
% 182.20/182.07 [6231]E(f318(f318(f75(a898),f318(f94(a898),x62311)),f318(f94(a898),x62312)),f318(f94(a898),x62311))+P1(f318(f318(f227(a1),x62311),a78))+~P1(f318(f318(f227(a1),x62312),a78))
% 182.20/182.07 [6235]~P110(x62351)+P1(f318(f318(f227(x62351),f2(x62351)),f77(x62351,x62352)))+~P1(f318(f318(f227(x62351),f2(x62351)),x62352))
% 182.20/182.07 [6249]~P65(x62491)+~P1(f318(f318(f226(x62491),x62492),f2(x62491)))+P1(f318(f318(f226(x62491),f2(x62491)),f318(f74(x62491),x62492)))
% 182.20/182.07 [6250]~P65(x62501)+~P1(f318(f318(f227(x62501),x62502),f2(x62501)))+P1(f318(f318(f227(x62501),f2(x62501)),f318(f74(x62501),x62502)))
% 182.20/182.07 [6253]E(x62531,f233(f905(x62532,a894)))+~E(f318(f29(x62532),x62531),f318(f29(x62532),f233(f905(x62532,a894))))+~P1(f318(f28(x62532),f233(f905(x62532,a894))))
% 182.20/182.07 [6279]~P1(f318(f318(f227(a898),f2(a898)),x62792))+~P1(f318(f318(f278(a898),x62791),x62792))+P1(f318(f318(f226(a898),x62791),x62792))
% 182.20/182.07 [6286]~P76(x62861)+P1(f318(f318(f226(x62861),x62862),f2(x62861)))+~P1(f318(f318(f226(x62861),x62862),f318(f74(x62861),x62862)))
% 182.20/182.07 [6287]~P110(x62871)+P1(f318(f318(f227(x62871),x62872),f2(x62871)))+~P1(f318(f318(f227(x62871),x62872),f318(f74(x62871),x62872)))
% 182.20/182.07 [6296]~P95(x62961)+P1(f318(f318(f320(x62961),f318(f94(x62961),x62962)),f177(x62961)))+~P1(f318(f318(f226(a1),a78),x62962))
% 182.20/182.07 [6325]E(x63251,f2(a898))+~P1(f318(f318(f227(a898),x63251),f318(a103,x63252)))+P1(f318(f318(f227(a898),f544(x63252,x63251)),x63252))
% 182.20/182.07 [6328]~P148(x63282)+P149(x63281,f318(f318(f300(a893),f910(x63282)),f179(f905(a893,a894))))+P1(f318(f318(f320(a896),f836(x63281,x63282)),a906))
% 182.20/182.07 [6350]~P110(x63501)+~P1(f318(f318(f227(x63501),f2(x63501)),f77(x63501,x63502)))+P1(f318(f318(f227(x63501),f2(x63501)),x63502))
% 182.20/182.07 [6352]~E(f318(f94(a898),x63522),f318(f94(a898),x63521))+P1(f318(f318(f226(a1),f318(f94(a1),x63521)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x63522)))
% 182.20/182.07 [6382]E(f318(f242(a1,a1),f45(x63821,x63822)),f318(f318(f30(a1),x63821),x63822))+~P1(f318(f318(f227(a1),x63821),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x63822))
% 182.20/182.07 [6422]E(f318(f247(a1,a1),f45(x64221,x64222)),f40(a1,x64221,x64222))+~P1(f318(f318(f227(a1),x64221),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x64222))
% 182.20/182.07 [6425]~P110(x64252)+~P1(f318(f318(f226(x64252),f2(x64252)),f318(f93(x64252),x64251)))+P1(f318(f318(f226(a1),f2(a1)),x64251))
% 182.20/182.07 [6426]~P109(x64262)+~P1(f318(f318(f227(x64262),f2(x64262)),f318(f91(x64262),x64261)))+P1(f318(f318(f227(a898),f2(a898)),x64261))
% 182.20/182.07 [6427]~P110(x64272)+~P1(f318(f318(f227(x64272),f2(x64272)),f318(f93(x64272),x64271)))+P1(f318(f318(f227(a1),f2(a1)),x64271))
% 182.20/182.07 [6430]E(f318(f242(a1,a1),f42(x64301,x64302)),f318(f318(f30(a1),x64301),x64302))+~P1(f318(f318(f226(a1),f2(a1)),x64302))+~P1(f318(f318(f227(a1),f2(a1)),x64301))
% 182.20/182.07 [6444]E(f318(f247(a1,a1),f42(x64441,x64442)),f40(a1,x64441,x64442))+~P1(f318(f318(f226(a1),f2(a1)),x64442))+~P1(f318(f318(f227(a1),f2(a1)),x64441))
% 182.20/182.07 [6460]~P65(x64601)+P1(f318(f318(f226(x64601),x64602),f2(x64601)))+~P1(f318(f318(f226(x64601),f2(x64601)),f318(f74(x64601),x64602)))
% 182.20/182.07 [6461]~P65(x64611)+P1(f318(f318(f227(x64611),x64612),f2(x64611)))+~P1(f318(f318(f227(x64611),f2(x64611)),f318(f74(x64611),x64612)))
% 182.20/182.07 [6487]P1(f318(f44(x64871,x64872),f45(x64871,x64872)))+~P1(f318(f318(f227(a1),x64871),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x64872))
% 182.20/182.07 [6501]~P1(f318(f318(f227(a898),f2(a898)),x65011))+~P1(f318(f318(f278(a898),x65012),x65011))+~P1(f318(f318(f227(a898),x65011),x65012))
% 182.20/182.07 [6514]P1(f318(f44(x65141,x65142),f42(x65141,x65142)))+~P1(f318(f318(f226(a1),f2(a1)),x65141))+~P1(f318(f318(f227(a1),f2(a1)),x65142))
% 182.20/182.07 [6557]~P65(x65571)+P1(f318(f318(f226(x65571),f318(f74(x65571),x65572)),f2(x65571)))+~P1(f318(f318(f226(x65571),f2(x65571)),x65572))
% 182.20/182.07 [6558]~P65(x65581)+P1(f318(f318(f227(x65581),f318(f74(x65581),x65582)),f2(x65581)))+~P1(f318(f318(f227(x65581),f2(x65581)),x65582))
% 182.20/182.07 [6579]E(f318(f318(f23(a898),f318(a95,x65791)),f318(a95,x65792)),f318(a95,f185(x65791,x65792)))+~P1(f318(f318(f226(a1),f2(a1)),x65792))+~P1(f318(f318(f226(a1),f2(a1)),x65791))
% 182.20/182.07 [6597]P1(f318(f318(f226(a1),f2(a1)),f185(x65971,x65972)))+~P1(f318(f318(f226(a1),f2(a1)),x65972))+~P1(f318(f318(f226(a1),f2(a1)),x65971))
% 182.20/182.07 [6634]~P1(f318(x66341,x66342))+P1(f318(x66341,f2(a898)))+P1(f318(x66341,f318(f318(f75(a898),f730(x66342,x66341)),f73(a898))))
% 182.20/182.07 [6719]E(f318(f94(a898),x67191),f318(f94(a898),x67192))+~P1(f318(f318(f226(a1),f318(f94(a1),x67192)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x67191)))
% 182.20/182.07 [6733]~E(x67331,f2(a898))+~E(f654(x67332,x67331),f2(a898))+E(f318(f133(a898,a898,f75(a898),x67331),x67332),f2(a898))
% 182.20/182.07 [6757]~P1(f318(f28(x67571),f581(x67572,x67571)))+~P1(f318(f28(f905(x67571,a894)),x67572))+P1(f318(f28(x67571),f31(f905(x67571,a894),x67572)))
% 182.20/182.07 [6763]E(x67631,x67632)+P1(f318(f318(f227(a1),x67631),x67632))+~P1(f318(f318(f227(a1),x67631),f318(f318(f75(a1),x67632),f73(a1))))
% 182.20/182.07 [6764]P1(f318(f318(f226(a898),f318(a95,x67641)),f318(a95,x67642)))+~P1(f318(f318(f226(a1),f2(a1)),x67642))+~P1(f318(f318(f226(a1),x67641),x67642))
% 182.20/182.07 [6765]P1(f318(f318(f226(a898),f318(a95,x67651)),f318(a95,x67652)))+~P1(f318(f318(f227(a1),f2(a1)),x67651))+~P1(f318(f318(f226(a1),x67651),x67652))
% 182.20/182.07 [6767]P1(f318(f318(f227(a898),f318(a95,x67671)),f318(a95,x67672)))+~P1(f318(f318(f226(a1),f2(a1)),x67671))+~P1(f318(f318(f227(a1),x67671),x67672))
% 182.20/182.07 [6768]P1(f318(f318(f227(a898),f318(a95,x67681)),f318(a95,x67682)))+~P1(f318(f318(f227(a1),f2(a1)),x67682))+~P1(f318(f318(f227(a1),x67681),x67682))
% 182.20/182.07 [6779]E(f40(a898,f318(a95,x67791),f318(a95,x67792)),f318(a95,f40(a1,x67791,x67792)))+~P1(f318(f318(f226(a1),f2(a1)),x67792))+~P1(f318(f318(f226(a1),f2(a1)),x67791))
% 182.20/182.07 [6803]~P65(x68031)+~P1(f318(f318(f226(x68031),f318(f74(x68031),x68032)),f2(x68031)))+P1(f318(f318(f226(x68031),f2(x68031)),x68032))
% 182.20/182.07 [6804]~P65(x68041)+~P1(f318(f318(f227(x68041),f318(f74(x68041),x68042)),f2(x68041)))+P1(f318(f318(f227(x68041),f2(x68041)),x68042))
% 182.20/182.07 [6819]~P1(f318(f318(f227(a1),a78),x68192))+~P1(f318(f318(f227(a1),x68191),x68192))+P1(f318(f318(f227(a898),f318(f94(a898),x68191)),f318(f94(a898),x68192)))
% 182.20/182.07 [6913]~P1(f318(f318(f226(a1),f2(a1)),x69131))+P1(f318(f318(f227(a898),f318(a95,x69131)),x69132))+~P1(f318(f318(f227(a1),x69131),f318(f91(a1),x69132)))
% 182.20/182.07 [6918]P1(f318(x69181,x69182))+~P1(f318(x69181,f318(a20,f790(x69181,x69182))))+~P1(f318(f318(f320(a898),x69182),f233(f905(a898,a894))))
% 182.20/182.07 [6929]E(x69291,f2(a1))+E(f40(a1,x69292,x69291),f2(a1))+E(f318(f318(f23(a1),f318(f74(a1),f318(f318(f30(a1),x69292),x69291))),f73(a1)),f318(f318(f30(a1),x69292),f318(f74(a1),x69291)))
% 182.20/182.07 [6943]~P1(f318(f318(f226(a1),f2(a1)),x69431))+~P1(f318(f318(f227(a898),f318(a95,x69431)),x69432))+P1(f318(f318(f227(a1),x69431),f318(f91(a1),x69432)))
% 182.20/182.07 [6979]~P1(f318(f318(f226(a898),f318(a95,x69791)),f318(a95,x69792)))+~P1(f318(f318(f226(a1),f2(a1)),x69792))+P1(f318(f318(f226(a1),x69791),x69792))
% 182.20/182.07 [6980]~P1(f318(f318(f226(a898),f318(a95,x69801)),f318(a95,x69802)))+~P1(f318(f318(f227(a1),f2(a1)),x69801))+P1(f318(f318(f226(a1),x69801),x69802))
% 182.20/182.07 [7011]P1(f318(f318(f226(a1),x70111),x70112))+~P1(f318(f318(f226(a898),f318(f94(a898),x70111)),f318(f94(a898),x70112)))+P1(f318(f318(f226(a1),x70111),a78))
% 182.20/182.07 [7037]P1(f318(f318(f226(a1),f2(a1)),f40(a1,x70371,x70372)))+~P1(f318(f318(f226(a1),f2(a1)),x70372))+~P1(f318(f318(f226(a1),f2(a1)),x70371))
% 182.20/182.07 [7135]P1(f318(f318(f227(a1),a78),x71351))+~P1(f318(f318(f227(a1),x71352),x71351))+~P1(f318(f318(f227(a898),f318(f94(a898),x71352)),f318(f94(a898),x71351)))
% 182.20/182.07 [7189]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x71891),x71892)),f40(a1,x71891,x71892)),f45(x71891,x71892))+~P1(f318(f318(f227(a1),x71891),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x71892))
% 182.20/182.07 [7209]E(f318(f318(f243(a1,a1),f318(f318(f30(a1),x72091),x72092)),f40(a1,x72091,x72092)),f42(x72091,x72092))+~P1(f318(f318(f226(a1),f2(a1)),x72092))+~P1(f318(f318(f226(a1),f2(a1)),x72091))
% 182.20/182.07 [7263]~P98(x72632)+E(x72631,f104(x72632))+E(f318(f133(x72632,x72632,f76(x72632),f318(f132(x72632),x72631)),f318(f162(x72632),x72631)),f318(f57(x72632,f76(x72632)),f318(f163(x72632),x72631)))
% 182.20/182.07 [7378]~E(x73781,f2(a898))+E(f318(f133(a898,a898,f75(a898),x73781),x73782),f2(a898))+P1(f318(f318(f320(a898),f654(x73782,x73781)),f318(f163(a898),x73782)))
% 182.20/182.07 [7431]~P1(f318(f318(f226(a1),x74311),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x74311),x74312)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x74312))
% 182.20/182.07 [7432]~P1(f318(f318(f227(a1),x74322),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x74321),x74322)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x74321))
% 182.20/182.07 [7433]~P1(f318(f318(f227(a1),x74332),f2(a1)))+P1(f318(f318(f227(a1),f318(f318(f30(a1),x74331),x74332)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x74331))
% 182.20/182.07 [7435]~P1(f318(f318(f227(a1),x74351),f2(a1)))+P1(f318(f318(f227(a1),f318(f318(f30(a1),x74351),x74352)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x74352))
% 182.20/182.07 [7442]P1(f318(f318(f320(f905(x74421,a894)),f581(x74422,x74421)),x74422))+~P1(f318(f28(f905(x74421,a894)),x74422))+P1(f318(f28(x74421),f31(f905(x74421,a894),x74422)))
% 182.20/182.07 [7532]P24(x75321,x75321,x75322,f233(f905(x75321,a894)))+~E(f318(f301(x75321,x75321,x75322),f233(f905(x75321,a894))),f233(f905(x75321,a894)))+~P1(f318(f28(x75321),f233(f905(x75321,a894))))
% 182.20/182.07 [7653]~P24(x76531,x76531,x76532,f233(f905(x76531,a894)))+E(f318(f301(x76531,x76531,x76532),f233(f905(x76531,a894))),f233(f905(x76531,a894)))+~P1(f318(f28(x76531),f233(f905(x76531,a894))))
% 182.20/182.07 [7793]E(f318(f318(f30(a1),x77931),x77932),f318(f94(a1),a88))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x77931),x77932)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x77931))
% 182.20/182.07 [7850]~P1(f318(f318(f227(a1),x78502),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f30(a1),x78501),x78502)),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x78501))
% 182.20/182.07 [7855]E(f318(f318(f75(a1),x78551),x78552),f40(a1,x78551,x78552))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),x78551),x78552)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x78551))
% 182.20/182.07 [7858]P1(f318(f318(f227(a1),x78581),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f30(a1),x78581),x78582)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x78582))
% 182.20/182.07 [7874]~P148(x78742)+P149(x78741,f318(f318(f300(a893),f910(x78742)),f179(f905(a893,a894))))+~P149(x78741,f318(f318(f300(a893),f318(a909,f836(x78741,x78742))),f179(f905(a893,a894))))
% 182.20/182.07 [8556]~P82(x85561)+P13(x85561,x85562)+~P1(f318(f318(f226(x85561),f318(f318(f155(x85561),x85562),f688(x85562,x85561))),f318(f318(f155(x85561),x85562),f689(x85562,x85561))))
% 182.20/182.07 [8557]~P82(x85571)+P13(x85571,x85572)+~P1(f318(f318(f226(x85571),f318(f318(f155(x85571),x85572),f696(x85572,x85571))),f318(f318(f155(x85571),x85572),f700(x85572,x85571))))
% 182.20/182.07 [5756]E(x57561,f2(a1))+~E(f40(a1,x57562,x57561),f2(a1))+E(f318(f318(f30(a1),x57562),f318(f74(a1),x57561)),f318(f74(a1),f318(f318(f30(a1),x57562),x57561)))
% 182.20/182.07 [5774]~P39(x57742)+~P39(x57741)+P39(f318(f318(f92(f905(a1,a894)),x57741),x57742))
% 182.20/182.07 [5775]~P39(x57752)+~P39(x57751)+P39(f318(f318(f101(f905(a1,a894)),x57751),x57752))
% 182.20/182.07 [5793]~P60(x57931)+~P95(x57931)+E(f318(f74(x57931),f318(f318(f282(x57931),f73(x57931)),x57932)),f318(f318(f282(x57931),f318(f94(x57931),a88)),x57932))
% 182.20/182.07 [5920]E(x59201,f2(a1))+~E(f40(a1,x59202,x59201),f2(a1))+E(f318(f318(f30(a1),f318(f74(a1),x59202)),x59201),f318(f74(a1),f318(f318(f30(a1),x59202),x59201)))
% 182.20/182.07 [6062]~P82(x60621)+P13(x60621,x60622)+P1(f318(f318(f227(a898),f689(x60622,x60621)),f318(f180(f899(x60621)),x60622)))
% 182.20/182.07 [6063]~P82(x60631)+P13(x60631,x60632)+P1(f318(f318(f227(a898),f700(x60632,x60631)),f318(f180(f899(x60631)),x60632)))
% 182.20/182.07 [6225]~P95(x62251)+~E(f318(f94(x62251),x62252),f2(x62251))+P27(x62251,f318(f94(x62251),f318(f318(f75(a1),x62252),f318(f74(a1),a78))))
% 182.20/182.07 [6226]~P95(x62261)+~E(f318(f94(x62261),x62262),f2(x62261))+P27(x62261,f318(f94(x62261),f318(f318(f75(a1),a78),f318(f74(a1),x62262))))
% 182.20/182.07 [6228]E(f318(a46,f42(f318(f74(a1),x62281),f318(f74(a1),x62282))),f41(x62281,x62282))+P1(f318(f318(f226(a1),f2(a1)),x62281))+P1(f318(f318(f227(a1),f2(a1)),x62282))
% 182.20/182.07 [6358]~E(x63582,f2(a898))+~E(x63581,f2(a898))+P1(f318(f318(f226(a1),f318(f91(a1),x63581)),f318(f74(a1),f318(f91(a1),x63582))))
% 182.20/182.07 [6388]E(f318(f318(f75(a898),f318(f94(a898),x63881)),f318(f94(a898),x63882)),f318(f94(a898),f318(f318(f75(a1),x63881),x63882)))+P1(f318(f318(f227(a1),x63881),a78))+P1(f318(f318(f227(a1),x63882),a78))
% 182.20/182.07 [6523]~P76(x65231)+~P1(f318(f318(f226(x65231),f2(x65231)),x65232))+P1(f318(f318(f226(x65231),f318(f74(x65231),x65232)),x65232))
% 182.20/182.07 [6524]~P76(x65241)+~P1(f318(f318(f227(x65241),f2(x65241)),x65242))+P1(f318(f318(f227(x65241),f318(f74(x65241),x65242)),x65242))
% 182.20/182.07 [6705]E(f318(f318(f23(a898),f318(a95,x67051)),f318(a95,x67052)),f318(a95,f318(f318(f23(a1),x67051),x67052)))+~P1(f318(f318(f226(a1),f2(a1)),x67052))+~P1(f318(f318(f226(a1),x67052),x67051))
% 182.20/182.07 [6741]E(f318(a95,f40(a1,f318(f94(a1),x67411),f318(f94(a1),x67412))),f40(a898,f318(f94(a898),x67411),f318(f94(a898),x67412)))+P1(f318(a184,f318(f94(a1),x67411)))+P1(f318(a184,f318(f94(a1),x67412)))
% 182.20/182.07 [6758]~P76(x67581)+P1(f318(f318(f226(x67581),f2(x67581)),x67582))+~P1(f318(f318(f226(x67581),f318(f74(x67581),x67582)),x67582))
% 182.20/182.07 [6759]~P76(x67591)+P1(f318(f318(f227(x67591),f2(x67591)),x67592))+~P1(f318(f318(f227(x67591),f318(f74(x67591),x67592)),x67592))
% 182.20/182.07 [6771]~P76(x67711)+~P1(f318(f318(f226(x67711),f2(x67711)),x67712))+P1(f318(f318(f226(x67711),f2(x67711)),f318(f318(f75(x67711),x67712),x67712)))
% 182.20/182.07 [6773]~P76(x67731)+~P1(f318(f318(f227(x67731),f2(x67731)),x67732))+P1(f318(f318(f227(x67731),f2(x67731)),f318(f318(f75(x67731),x67732),x67732)))
% 182.20/182.07 [6784]E(f318(f318(f75(a898),f318(a95,x67841)),f318(a95,x67842)),f318(a95,f318(f318(f75(a1),x67841),x67842)))+~P1(f318(f318(f226(a1),f2(a1)),x67842))+~P1(f318(f318(f226(a1),f2(a1)),x67841))
% 182.20/182.07 [6796]E(x67961,f2(a898))+P1(f318(f318(f227(a898),f2(a898)),x67962))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f235(a898),x67962),x67961)))
% 182.20/182.07 [6831]~P95(x68311)+E(f318(f94(x68311),x68312),f2(x68311))+~P27(x68311,f318(f94(x68311),f318(f318(f75(a1),a78),f318(f74(a1),x68312))))
% 182.20/182.07 [6832]~P95(x68321)+E(f318(f94(x68321),x68322),f2(x68321))+~P27(x68321,f318(f94(x68321),f318(f318(f75(a1),x68322),f318(f74(a1),a78))))
% 182.20/182.07 [6891]~P1(f318(f28(x68911),x68912))+~P1(f318(f28(x68911),f233(f905(x68911,a894))))+P1(f318(f28(x68911),f318(f74(f905(x68911,a894)),x68912)))
% 182.20/182.07 [6914]~P1(f318(f318(f227(a1),f2(a1)),x69142))+~P1(f318(f318(f226(a1),x69142),x69141))+P1(f318(f318(f227(a1),f2(a1)),f318(f318(f30(a1),x69141),x69142)))
% 182.20/182.07 [6915]~P1(f318(f318(f226(a1),x69151),f2(a1)))+~P1(f318(f318(f227(a1),x69152),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x69151),x69152)))
% 182.20/182.07 [6953]~P1(f318(f318(f226(a1),f2(a1)),x69532))+~P1(f318(f318(f226(a1),f2(a1)),x69531))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),x69531),x69532)))
% 182.20/182.07 [6954]~P1(f318(f318(f226(a1),f2(a1)),x69542))+~P1(f318(f318(f226(a1),f2(a1)),x69541))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f76(a1),x69541),x69542)))
% 182.20/182.07 [6955]~P1(f318(f318(f226(a1),f2(a1)),x69552))+~P1(f318(f318(f226(a1),f2(a1)),x69551))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x69551),x69552)))
% 182.20/182.07 [6956]~P1(f318(f318(f226(a1),f2(a1)),x69561))+~P1(f318(f318(f227(a1),f2(a1)),x69562))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x69561),x69562)))
% 182.20/182.07 [6957]~P1(f318(f318(f227(a898),f2(a898)),x69572))+~P1(f318(f318(f227(a898),f2(a898)),x69571))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f76(a898),x69571),x69572)))
% 182.20/182.07 [7024]E(x70241,f2(a1))+E(f40(a1,x70242,x70241),f2(a1))+E(f318(f318(f23(a1),f318(f74(a1),f318(f318(f30(a1),x70242),x70241))),f73(a1)),f318(f318(f30(a1),f318(f74(a1),x70242)),x70241))
% 182.20/182.07 [7081]P1(f318(f318(f227(a898),f2(a898)),x70811))+P1(f318(f318(f227(a898),f2(a898)),x70812))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f75(a898),x70812),x70811)))
% 182.20/182.07 [7085]~P76(x70851)+P1(f318(f318(f226(x70851),f2(x70851)),x70852))+~P1(f318(f318(f226(x70851),f2(x70851)),f318(f318(f75(x70851),x70852),x70852)))
% 182.20/182.07 [7086]~P76(x70861)+P1(f318(f318(f227(x70861),f2(x70861)),x70862))+~P1(f318(f318(f227(x70861),f2(x70861)),f318(f318(f75(x70861),x70862),x70862)))
% 182.20/182.07 [7136]~P1(f318(f28(x71361),x71362))+P1(f318(f28(x71361),f233(f905(x71361,a894))))+~P1(f318(f28(x71361),f318(f74(f905(x71361,a894)),x71362)))
% 182.20/182.07 [7201]P1(f318(f318(f226(a1),x72011),f2(a1)))+~P1(f318(f318(f227(a1),x72012),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x72011),x72012)))
% 182.20/182.07 [7207]~P1(f318(f318(f227(a1),f2(a1)),x72071))+P1(f318(f318(f226(a1),x72071),x72072))+~P1(f318(f318(f227(a1),f2(a1)),f318(f318(f30(a1),x72072),x72071)))
% 182.20/182.07 [7208]~P1(f318(f318(f226(a1),f2(a1)),x72082))+P1(f318(f318(f226(a1),x72081),x72082))+~P1(f318(f318(f227(a1),f2(a1)),f318(f318(f30(a1),x72082),x72081)))
% 182.20/182.07 [7238]P1(f318(f318(f226(a1),f2(a1)),x72381))+~P1(f318(f318(f227(a1),f2(a1)),x72382))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f30(a1),x72381),x72382)))
% 182.43/182.07 [7239]P1(f318(f318(f227(a1),f2(a1)),x72391))+~P1(f318(f318(f226(a1),f2(a1)),x72392))+~P1(f318(f318(f227(a1),f2(a1)),f318(f318(f30(a1),x72392),x72391)))
% 182.43/182.07 [7684]~P1(f318(f28(x76842),f233(f905(x76842,a894))))+~P1(f318(f28(x76841),f233(f905(x76841,a894))))+P1(f318(f28(f903(x76841,x76842)),f233(f905(f903(x76841,x76842),a894))))
% 182.43/182.07 [7685]~P1(f318(f28(x76852),f233(f905(x76852,a894))))+~P1(f318(f28(x76851),f233(f905(x76851,a894))))+P1(f318(f28(f904(x76851,x76852)),f233(f905(f904(x76851,x76852),a894))))
% 182.43/182.07 [7757]~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x77571))+~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x77572))+P1(f318(f318(f227(a898),x77571),f318(f318(f76(a898),x77572),x77571)))
% 182.43/182.07 [7758]~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x77581))+~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x77582))+P1(f318(f318(f227(a898),x77581),f318(f318(f76(a898),x77581),x77582)))
% 182.43/182.07 [7792]E(f318(f29(x77921),f233(f905(x77921,a894))),f318(a103,f2(a898)))+P1(f318(f28(x77922),f233(f905(x77922,a894))))+~P1(f318(f28(f905(x77922,x77921)),f233(f905(f905(x77922,x77921),a894))))
% 182.43/182.07 [7920]~P1(f318(f318(f226(a898),f318(a103,f2(a898))),x79201))+~P1(f318(f318(f226(a898),f318(a103,f2(a898))),x79202))+P1(f318(f318(f226(a898),f318(a103,f2(a898))),f318(f318(f76(a898),x79201),x79202)))
% 182.43/182.07 [7921]~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x79212))+~P1(f318(f318(f227(a898),f318(a103,f2(a898))),x79211))+P1(f318(f318(f227(a898),f318(a103,f2(a898))),f318(f318(f76(a898),x79211),x79212)))
% 182.43/182.07 [8603]E(x86031,f104(x86032))+~P1(f318(f128(x86032),x86031))+E(f168(x86032,f318(f318(f8(a894,a894,x86032),a313),f318(f318(f7(x86032,x86032,a894),a315),f135(x86032,x86031))),x86031),f105(x86032,x86031))
% 182.43/182.07 [8698]~P39(x86982)+~P39(x86981)+E(f318(f301(a898,a1,f91(a1)),f318(f318(f92(f905(a898,a894)),f318(f301(a1,a898,a95),x86981)),f318(f301(a1,a898,a95),x86982))),f318(f318(f92(f905(a1,a894)),x86981),x86982))
% 182.43/182.07 [8699]~P39(x86992)+~P39(x86991)+E(f318(f301(a898,a1,f91(a1)),f318(f318(f101(f905(a898,a894)),f318(f301(a1,a898,a95),x86991)),f318(f301(a1,a898,a95),x86992))),f318(f318(f101(f905(a1,a894)),x86991),x86992))
% 182.43/182.07 [9370]~P95(x93701)+~E(f318(f94(x93701),x93702),f73(x93701))+P27(x93701,f318(f94(x93701),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f74(a1),x93702))))
% 182.43/182.07 [9622]~P95(x96221)+E(f318(f94(x96221),x96222),f73(x96221))+~P27(x96221,f318(f94(x96221),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f74(a1),x96222))))
% 182.43/182.07 [10378]E(x103781,f2(a1))+E(x103782,f2(a1))+E(f318(f249(a1,a1,a1,a1,f25(a1),f318(f76(a1),f77(a1,x103782))),f318(f318(f318(f87(f904(a1,a1)),f318(f318(a315,f77(a1,x103781)),f77(a1,x103782))),f48(x103781,x103782)),f318(f318(f248(a1,a1,f904(a1,a1)),f318(f318(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f318(f318(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f318(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f318(f318(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f87(f904(a1,a1))),f318(f318(f7(a1,a1,a894),a315),f2(a1))))),f318(f318(f7(a1,a1,f904(a1,a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f74(a1))),f2(a1))))),f318(f318(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f318(f318(f7(a1,a1,a1),f318(f318(f8(a1,f905(a1,a1),a1),f23(a1)),f74(a1))),f73(a1))))),f318(f23(a1),f318(f70(a1),x103782))))),f48(x103781,x103782)))),f41(x103781,x103782))
% 182.43/182.07 [10379]E(x103791,f2(a1))+E(x103792,f2(a1))+E(f318(f249(a1,a1,a1,a1,f25(a1),f318(f76(a1),f77(a1,x103792))),f318(f318(f318(f87(f904(a1,a1)),f318(f318(a317,f318(f318(a316,f318(f318(f227(a1),f2(a1)),x103792)),f318(f318(f226(a1),f2(a1)),x103791))),f318(f318(a316,f318(f318(f227(a1),x103792),f2(a1))),f318(f318(f227(a1),x103791),f2(a1))))),f48(x103791,x103792)),f318(f318(f248(a1,a1,f904(a1,a1)),f318(f318(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f318(f318(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f318(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f318(f318(f8(a894,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f87(f904(a1,a1))),f318(f318(f7(a1,a1,a894),a315),f2(a1))))),f318(f318(f7(a1,a1,f904(a1,a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f74(a1))),f2(a1))))),f318(f318(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f318(f318(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f318(f318(f7(a1,a1,a1),f318(f318(f8(a1,f905(a1,a1),a1),f23(a1)),f74(a1))),f73(a1))))),f318(f23(a1),f318(f70(a1),x103792))))),f48(x103791,x103792)))),f41(x103791,x103792))
% 182.43/182.07 [5782]~P110(x57821)+~P95(x57821)+E(f318(f70(x57821),f318(f318(f235(x57821),f318(f94(x57821),a88)),x57822)),f73(x57821))
% 182.43/182.07 [6297]~P127(x62971)+~P1(f318(f318(f227(a1),x62972),f2(a1)))+E(f318(f74(x62971),f318(f91(x62971),f318(a95,f318(f74(a1),x62972)))),f318(f93(x62971),x62972))
% 182.43/182.07 [6507]P1(f318(f318(f226(a90),x65071),f73(a90)))+E(f318(f318(f75(a90),f73(a90)),f263(x65071,f318(f318(f30(a90),x65072),x65071))),f263(x65071,x65072))+P1(f318(f318(f227(a90),x65072),x65071))
% 182.43/182.07 [6994]~E(x69941,f73(a898))+~P1(f318(f318(f227(a898),f2(a898)),x69942))+P1(f318(f318(f278(a898),f318(f318(f76(a898),x69941),x69942)),x69942))
% 182.43/182.07 [7126]~P94(x71261)+~P1(f318(f318(f320(x71261),x71262),f100(x71261)))+~E(f318(f318(f75(x71261),f318(f318(f75(x71261),f73(x71261)),x71262)),x71262),f2(x71261))
% 182.43/182.07 [7240]~P1(f318(f318(f226(a1),x72402),f2(a1)))+~P1(f318(f318(f227(a1),x72401),f2(a1)))+E(f318(f242(a1,a1),f318(a46,f42(f318(f74(a1),x72401),f318(f74(a1),x72402)))),f318(f318(f30(a1),x72401),x72402))
% 182.43/182.07 [7257]~P1(f318(f318(f226(a1),x72572),f2(a1)))+~P1(f318(f318(f227(a1),x72571),f2(a1)))+E(f318(f247(a1,a1),f318(a46,f42(f318(f74(a1),x72571),f318(f74(a1),x72572)))),f40(a1,x72571,x72572))
% 182.43/182.07 [7265]~P1(f318(f318(f227(a1),x72652),f2(a1)))+E(f318(f242(a1,a1),f318(a46,f45(f318(f74(a1),x72651),f318(f74(a1),x72652)))),f318(f318(f30(a1),x72651),x72652))+~P1(f318(f318(f227(a1),f2(a1)),x72651))
% 182.43/182.07 [7283]~P1(f318(f318(f227(a1),x72832),f2(a1)))+E(f318(f247(a1,a1),f318(a46,f45(f318(f74(a1),x72831),f318(f74(a1),x72832)))),f40(a1,x72831,x72832))+~P1(f318(f318(f227(a1),f2(a1)),x72831))
% 182.43/182.07 [7334]E(f318(f318(f30(a1),f318(f318(f235(a1),x73341),x73342)),x73341),f318(f318(f235(a1),x73341),f318(f318(f23(a898),x73342),f318(a103,f2(a898)))))+~P1(f318(f318(f227(a898),f2(a898)),x73342))+~P1(f318(f318(f227(a1),f2(a1)),x73341))
% 182.43/182.07 [7438]~P1(f318(f318(f227(a898),f2(a898)),x74381))+~P1(f318(f318(f227(a898),f2(a898)),x74382))+P1(f318(f318(f227(a898),f318(f318(f23(a898),x74381),x74382)),x74381))
% 182.43/182.07 [7439]~P1(f318(f318(f227(a898),f2(a898)),x74391))+~P1(f318(f318(f227(a898),f73(a898)),x74392))+P1(f318(f318(f227(a898),f318(f318(f30(a898),x74391),x74392)),x74391))
% 182.43/182.07 [7440]~P1(f318(f318(f227(a1),f2(a1)),x74401))+~P1(f318(f318(f227(a1),f73(a1)),x74402))+P1(f318(f318(f227(a1),f318(f318(f30(a1),x74401),x74402)),x74401))
% 182.43/182.07 [7577]E(x75771,f2(a898))+~E(x75772,f2(a1))+~P1(f318(f318(f227(a1),f2(a1)),f318(f318(f235(a1),f318(f70(a1),x75772)),x75771)))
% 182.43/182.07 [7618]E(x76181,f73(a898))+~P1(f318(f318(f227(a898),f2(a898)),x76182))+~P1(f318(f318(f278(a898),f318(f318(f76(a898),x76181),x76182)),x76182))
% 182.43/182.07 [7999]~E(x79992,f104(f899(x79991)))+E(f318(f180(f899(f899(x79991))),f170(x79991,x79992)),f2(a898))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x79991),a898),f180(f899(x79991))),x79992)))
% 182.43/182.07 [8252]P1(f318(x82521,x82522))+~P1(f318(x82521,f318(a97,f517(x82521,x82522))))+~P1(f318(f318(f320(f905(f904(a898,a898),a894)),x82522),a89))
% 182.43/182.07 [8268]E(x82681,f104(f899(x82682)))+E(f318(f180(f899(x82682)),f318(f318(f155(f899(x82682)),x82681),f2(a898))),f318(f180(f899(f899(x82682))),f170(x82682,x82681)))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x82682),a898),f180(f899(x82682))),x82681)))
% 182.43/182.07 [8410]~P37(x84101,x84102)+~P38(x84101,x84102)+P37(x84101,f318(f318(f23(f905(f904(x84101,x84101),a894)),x84102),f298(x84101,f179(f905(f904(x84101,x84101),a894)))))
% 182.43/182.07 [8983]~P1(f318(f28(x89831),f318(f253(x89831),x89832)))+~P1(f318(f28(x89831),f233(f905(x89831,a894))))+P1(f318(f28(x89831),f318(f253(x89831),f318(f318(f8(a894,a894,x89831),a313),x89832))))
% 182.43/182.07 [9049]E(f318(f318(f243(a898,a898),f318(a103,f318(f318(f30(a898),f318(f318(f23(a898),x90491),x90492)),x90492))),f40(a898,f318(f318(f23(a898),x90491),x90492),x90492)),f80(f904(a898,a898),f43(x90491,x90492)))+~P1(f318(f318(f227(a898),f2(a898)),x90492))+~P1(f318(f318(f226(a898),x90492),x90491))
% 182.43/182.07 [9335]~P1(f318(f28(x93351),f318(f253(x93351),x93352)))+P1(f318(f28(x93351),f233(f905(x93351,a894))))+~P1(f318(f28(x93351),f318(f253(x93351),f318(f318(f8(a894,a894,x93351),a313),x93352))))
% 182.43/182.07 [10060]P26(x100601,x100602)+~P36(x100601,f318(f242(f905(f904(x100601,x100601),a894),f905(f904(x100601,x100601),a894)),x100602))+~P1(f318(f318(f226(f905(f904(x100601,x100601),a894)),f318(f318(f280(x100601,x100601,x100601),f318(f242(f905(f904(x100601,x100601),a894),f905(f904(x100601,x100601),a894)),x100602)),f318(f247(f905(f904(x100601,x100601),a894),f905(f904(x100601,x100601),a894)),x100602))),f318(f242(f905(f904(x100601,x100601),a894),f905(f904(x100601,x100601),a894)),x100602)))
% 182.43/182.07 [10156]~E(f291(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x101562,x101561),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x101562),x101561))+P1(f318(f318(f278(a898),x101561),x101562))
% 182.43/182.07 [10157]~E(f288(a898,f278(a898),f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x101572,x101571),f179(f905(a898,a894)))+~P1(f318(f318(f278(a898),x101572),x101571))+P1(f318(f318(f278(a898),x101571),x101572))
% 182.43/182.07 [7364]~P1(f318(f318(f227(a898),f2(a898)),x73642))+P1(f318(f318(f227(a898),x73641),x73642))+E(f318(a103,f318(f318(f30(a898),f318(f318(f23(a898),x73641),x73642)),x73642)),f318(f318(f30(a898),x73641),x73642))
% 182.43/182.07 [7505]~P1(f318(f318(f227(a898),f2(a898)),x75052))+~P1(f318(f318(f226(a898),x75052),x75051))+E(f318(a103,f318(f318(f30(a898),f318(f318(f23(a898),x75051),x75052)),x75052)),f318(f318(f30(a898),x75051),x75052))
% 182.43/182.07 [8474]~P95(x84741)+~P94(x84741)+~P27(x84741,f318(f94(x84741),f318(f318(f23(a1),f318(f318(f75(a1),x84742),x84742)),a88)))
% 182.43/182.07 [9241]E(x92411,f2(a898))+E(f318(f318(f248(a898,a898,f904(a898,a898)),f318(f318(f8(a898,f905(a898,f904(a898,a898)),a898),f243(a898,a898)),a103)),f80(f904(a898,a898),f43(f318(f318(f23(a898),x92412),x92411),x92411))),f80(f904(a898,a898),f43(x92412,x92411)))+P1(f318(f318(f227(a898),x92412),x92411))
% 182.43/182.07 [9424]~P37(x94241,x94242)+~P50(x94241,x94242)+P1(f318(f318(f226(f905(f904(x94241,x94241),a894)),f318(f318(f280(x94241,x94241,x94241),f318(f277(x94241,x94241),x94242)),x94242)),x94242))
% 182.43/182.07 [9686]P1(f318(x96862,f618(x96862,x96861)))+P1(f318(x96861,f618(x96862,x96861)))+E(f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96861)),f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96862)))
% 182.43/182.07 [9690]~P1(f318(x96902,f618(x96902,x96901)))+~P1(f318(x96901,f618(x96902,x96901)))+E(f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96901)),f318(f253(a1),f318(f318(f18(a1,a894,a894),f318(f318(f8(a894,f905(a894,a894),a1),a316),f318(f226(a1),f2(a1)))),x96902)))
% 182.43/182.07 [10239]~P1(f318(f318(f278(a898),x102392),x102391))+P1(f318(f318(f278(a898),x102391),x102392))+P1(f318(f318(f320(a898),x102391),f286(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102392)))
% 182.43/182.07 [10240]~P1(f318(f318(f278(a898),x102402),x102401))+P1(f318(f318(f278(a898),x102401),x102402))+P1(f318(f318(f320(a898),x102402),f289(a898,f318(f318(f18(a898,f905(a898,a894),f905(a898,a894)),f318(f318(f8(f905(a898,f905(a894,a894)),f905(f905(a898,a894),f905(a898,a894)),a898),f18(a898,a894,a894)),f318(f318(f8(f905(a898,a894),f905(a898,f905(a894,a894)),a898),f318(f8(a894,f905(a894,a894),a898),a316)),f278(a898)))),f318(f318(f8(f905(a898,a894),f905(a898,a894),a898),f318(f8(a894,a894,a898),a313)),f318(f7(a898,a898,a894),f278(a898)))),x102401)))
% 182.43/182.07 [7715]~P61(x77151)+~P95(x77151)+E(f318(f318(f282(x77151),x77152),f318(f94(x77151),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))),x77152)
% 182.43/182.07 [9369]~P95(x93691)+~E(f318(f94(x93691),x93692),f73(x93691))+P27(x93691,f318(f94(x93691),f318(f318(f75(a1),x93692),f318(f74(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.43/182.07 [9556]~P142(x95561)+~E(x95562,f73(x95561))+E(f318(f318(f235(x95561),x95562),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(x95561))
% 182.43/182.07 [9557]~P142(x95571)+~E(x95572,f2(x95571))+E(f318(f318(f235(x95571),x95572),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f2(x95571))
% 182.43/182.07 [9572]~P142(x95721)+~E(x95722,f318(f74(x95721),f73(x95721)))+E(f318(f318(f235(x95721),x95722),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(x95721))
% 182.43/182.07 [9623]~P95(x96231)+E(f318(f94(x96231),x96232),f73(x96231))+~P27(x96231,f318(f94(x96231),f318(f318(f75(a1),x96232),f318(f74(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.43/182.07 [10004]~P110(x100042)+E(x100041,f2(x100042))+P1(f318(f318(f227(x100042),f2(x100042)),f318(f318(f235(x100042),x100041),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.43/182.07 [10059]~P110(x100592)+~E(x100591,f2(x100592))+~P1(f318(f318(f227(x100592),f2(x100592)),f318(f318(f235(x100592),x100591),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.43/182.07 [10095]P1(f318(f318(f226(a1),x100951),f2(a1)))+P1(f318(f318(f227(a1),x100952),x100951))+E(f318(f38(x100951),f42(x100952,f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100951))),f42(x100952,x100951))
% 182.43/182.07 [10096]~P1(f318(f318(f227(a1),f2(a1)),x100961))+P1(f318(f318(f227(a1),x100962),x100961))+E(f318(f38(x100961),f42(x100962,f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100961))),f42(x100962,x100961))
% 182.43/182.07 [10097]P1(f318(f318(f226(a1),x100971),f2(a1)))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),x100972),x100971)))+E(f318(f38(x100971),f45(x100972,f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100971))),f45(x100972,x100971))
% 182.43/182.07 [10098]~P1(f318(f318(f227(a1),f2(a1)),x100981))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),x100982),x100981)))+E(f318(f38(x100981),f45(x100982,f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100981))),f45(x100982,x100981))
% 182.43/182.07 [10099]~P144(x100991)+~P1(f318(f318(f226(a1),f2(a1)),x100992))+E(f318(f91(x100991),f318(a95,f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x100992))),f318(f318(f75(x100991),f318(f91(x100991),f318(a95,x100992))),f318(f91(x100991),f318(a95,x100992))))
% 182.43/182.07 [5116]~P146(x51161,x51163,x51162)+~E(x51163,f2(a1))+P1(f318(x51161,x51162))
% 182.43/182.07 [5240]~P82(x52401)+~P13(x52401,x52403)+P13(x52401,f161(x52401,x52402,x52403))
% 182.43/182.07 [5241]~P82(x52411)+~P13(x52411,x52413)+P13(x52411,f168(x52411,x52412,x52413))
% 182.43/182.07 [4804]~P73(x48042)+~E(x48043,f318(f74(x48042),x48041))+E(x48041,f318(f74(x48042),x48043))
% 182.43/182.07 [4806]~P73(x48061)+~E(f318(f74(x48061),x48063),x48062)+E(f318(f74(x48061),x48062),x48063)
% 182.43/182.07 [4885]~P82(x48853)+E(x48851,x48852)+~E(f318(f273(x48853),x48851),f318(f273(x48853),x48852))
% 182.43/182.07 [4886]~P105(x48863)+E(x48861,x48862)+~E(f318(f91(x48863),x48861),f318(f91(x48863),x48862))
% 182.43/182.07 [4887]~P82(x48873)+E(x48871,x48872)+~E(f318(f292(x48873),x48871),f318(f292(x48873),x48872))
% 182.43/182.07 [4888]~P82(x48883)+E(x48881,x48882)+~E(f318(f274(x48883),x48881),f318(f274(x48883),x48882))
% 182.43/182.07 [4889]~P82(x48893)+E(x48891,x48892)+~E(f318(f295(x48893),x48891),f318(f295(x48893),x48892))
% 182.43/182.07 [4890]~P73(x48903)+E(x48901,x48902)+~E(f318(f74(x48903),x48901),f318(f74(x48903),x48902))
% 182.43/182.07 [4891]~P97(x48913)+E(x48911,x48912)+~E(f318(f74(x48913),x48911),f318(f74(x48913),x48912))
% 182.43/182.07 [4892]~P94(x48923)+E(x48921,x48922)+~E(f318(f93(x48923),x48921),f318(f93(x48923),x48922))
% 182.43/182.07 [4994]~P59(x49941)+~P1(f318(x49942,x49943))+P1(f318(f51(x49941),x49942))
% 182.43/182.07 [5034]~P59(x50343)+P1(f318(x50341,x50342))+~P1(f318(f52(x50343),x50341))
% 182.43/182.07 [5136]~P147(x51361,x51362,x51363)+~E(x51362,f2(a1))+P1(f318(x51361,f2(a1)))
% 182.43/182.07 [5176]~E(x51761,f2(a898))+E(f540(x51761,x51762,x51763),f179(f905(x51763,a894)))+~E(f318(f29(x51763),x51762),f318(a103,x51761))
% 182.43/182.07 [5324]~E(x53242,f2(a898))+E(f318(f242(a898,a898),x53241),f2(a898))+~P1(f318(f43(x53243,x53242),x53241))
% 182.43/182.07 [5363]P1(f318(x53631,x53632))+~E(x53633,f318(f91(a1),x53632))+~P1(f318(x53631,f318(a95,x53633)))
% 182.43/182.07 [5846]~E(x58463,f2(a898))+~P1(f318(x58461,x58462))+P1(f318(x58461,f40(a898,x58462,x58463)))
% 182.43/182.07 [6091]~P106(x60912)+~P106(x60911)+E(f122(x60911,x60912,f123(x60911,x60913),f123(x60912,x60913)),f123(f904(x60911,x60912),x60913))
% 182.43/182.07 [6278]~E(x62783,f2(a898))+P1(f318(x62781,x62782))+~P1(f318(x62781,f40(a898,x62782,x62783)))
% 182.43/182.07 [6978]E(x69781,f2(a898))+~P1(f318(x69782,f384(x69781,x69783,x69782)))+P1(f318(x69782,f40(a898,x69783,x69781)))
% 182.43/182.07 [7091]~P5(x70911)+~P1(f318(f318(f226(x70911),x70912),f583(x70913,x70912,x70911)))+P1(f318(f318(f226(x70911),x70912),f32(x70911,x70913)))
% 182.43/182.07 [7093]~P1(f318(x70931,x70932))+~P1(f318(x70931,f384(x70933,x70932,x70931)))+P1(f318(x70931,f40(a898,x70932,x70933)))
% 182.43/182.07 [7195]E(x71951,f104(x71952))+E(f318(f318(f142(x71952),f669(x71953,x71951,x71952)),f673(x71953,x71951,x71952)),x71951)+~P1(f318(f318(f320(f899(x71952)),x71951),f152(x71952,x71953)))
% 182.43/182.07 [7226]~P127(x72261)+~P1(f318(f318(f320(x72261),x72262),f100(x72261)))+P1(f318(f318(f320(x72261),f318(f318(f235(x72261),x72262),x72263)),f100(x72261)))
% 182.43/182.07 [7550]P36(x75501,x75502)+~P1(f318(f318(f320(x75501),x75503),f563(x75502,x75501)))+P1(f318(f318(f320(x75501),f617(x75502,x75501,x75503)),f563(x75502,x75501)))
% 182.43/182.07 [7820]E(x78201,f104(x78202))+~P1(f318(f318(f320(f899(x78202)),x78201),f152(x78202,x78203)))+P1(f318(f318(f320(f899(x78202)),f673(x78203,x78201,x78202)),f152(x78202,x78203)))
% 182.43/182.07 [7872]E(x78721,f2(a898))+E(f318(f318(f75(a898),f318(f318(f76(a898),x78721),f385(x78721,x78722,x78723))),f384(x78721,x78722,x78723)),x78722)+P1(f318(x78723,f40(a898,x78722,x78721)))
% 182.43/182.07 [7915]~P1(f318(x79153,x79152))+E(f318(f318(f75(a898),f318(f318(f76(a898),x79151),f385(x79151,x79152,x79153))),f384(x79151,x79152,x79153)),x79152)+P1(f318(x79153,f40(a898,x79152,x79151)))
% 182.43/182.07 [8055]P1(f318(f318(f227(a1),x80551),f377(x80552,x80553,x80551)))+P1(f318(f318(x80553,f318(f318(f30(a1),x80552),x80551)),f40(a1,x80552,x80551)))+~P1(f318(f318(f227(a1),x80551),f2(a1)))
% 182.43/182.07 [8323]P1(f318(f318(x83232,f318(f318(f30(a1),x83231),x83233)),f40(a1,x83231,x83233)))+~P1(f318(f318(f227(a1),x83233),f2(a1)))+P1(f318(f318(f226(a1),f377(x83231,x83232,x83233)),f2(a1)))
% 182.43/182.07 [8508]E(f318(f318(f75(a1),f318(f318(f76(a1),x85081),f381(x85082,x85083,x85081))),f377(x85082,x85083,x85081)),x85082)+P1(f318(f318(x85083,f318(f318(f30(a1),x85082),x85081)),f40(a1,x85082,x85081)))+~P1(f318(f318(f227(a1),x85081),f2(a1)))
% 182.43/182.07 [8746]~P1(f318(f318(x87461,f381(x87462,x87461,x87463)),f377(x87462,x87461,x87463)))+P1(f318(f318(x87461,f318(f318(f30(a1),x87462),x87463)),f40(a1,x87462,x87463)))+~P1(f318(f318(f227(a1),x87463),f2(a1)))
% 182.43/182.07 [8996]~P82(x89961)+~P13(x89961,x89963)+P13(x89961,f140(x89961,x89961,f5(x89961),x89962,x89963))
% 182.43/182.07 [9501]~P124(x95012)+E(x95011,f2(x95012))+~P1(f318(f318(f226(x95012),f318(f318(f75(x95012),f318(f318(f76(x95012),x95013),x95013)),f318(f318(f76(x95012),x95011),x95011))),f2(x95012)))
% 182.43/182.07 [9502]~P124(x95022)+E(x95021,f2(x95022))+~P1(f318(f318(f226(x95022),f318(f318(f75(x95022),f318(f318(f76(x95022),x95021),x95021)),f318(f318(f76(x95022),x95023),x95023))),f2(x95022)))
% 182.43/182.07 [10313]~P110(x103131)+~P1(f318(f318(f227(x103131),x103132),f2(x103131)))+P1(f318(f318(f227(x103131),f318(f318(f235(x103131),x103132),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x103133)))),f2(x103131)))
% 182.43/182.07 [10322]~P110(x103222)+E(x103221,f2(x103222))+~P1(f318(f318(f226(x103222),f318(f318(f75(x103222),f318(f318(f235(x103222),x103223),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x103222),x103221),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f2(x103222)))
% 182.43/182.07 [10323]~P110(x103232)+E(x103231,f2(x103232))+~P1(f318(f318(f226(x103232),f318(f318(f75(x103232),f318(f318(f235(x103232),x103231),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x103232),x103233),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f2(x103232)))
% 182.43/182.07 [4840]~E(x48402,x48403)+~P67(x48401)+E(f318(f318(f23(x48401),x48402),x48403),f2(x48401))
% 182.43/182.07 [4841]~E(x48412,x48413)+~P73(x48411)+E(f318(f318(f23(x48411),x48412),x48413),f2(x48411))
% 182.43/182.07 [4854]~P145(x48541)+~E(x48543,f2(x48541))+E(f318(f318(f75(x48541),x48542),x48543),x48542)
% 182.43/182.07 [4872]~P141(x48721)+~E(x48723,f2(x48721))+E(f318(f318(f76(x48721),x48722),x48723),f2(x48721))
% 182.43/182.07 [4873]~P141(x48731)+~E(x48732,f2(x48731))+E(f318(f318(f76(x48731),x48732),x48733),f2(x48731))
% 182.43/182.07 [4894]~E(x48943,f104(x48941))+~E(x48942,f104(x48941))+E(f318(f318(f125(x48941),x48942),x48943),f104(x48941))
% 182.43/182.07 [4984]~P145(x49842)+E(x49841,f2(x49842))+~E(f318(f318(f75(x49842),x49843),x49841),x49843)
% 182.43/182.07 [4985]~P73(x49851)+~E(x49852,f318(f74(x49851),x49853))+E(f318(f318(f75(x49851),x49852),x49853),f2(x49851))
% 182.43/182.07 [4992]E(x49921,f104(x49922))+E(x49923,f2(a898))+~E(f318(f318(f166(x49922),x49923),x49921),f104(x49922))
% 182.43/182.07 [5002]~P67(x50023)+E(x50021,x50022)+~E(f318(f318(f23(x50023),x50021),x50022),f2(x50023))
% 182.43/182.07 [5003]~P73(x50033)+E(x50031,x50032)+~E(f318(f318(f23(x50033),x50031),x50032),f2(x50033))
% 182.43/182.07 [5016]~P142(x50162)+E(x50161,f2(x50162))+~E(f318(f318(f235(x50162),x50161),x50163),f2(x50162))
% 182.43/182.07 [5017]~P84(x50172)+E(x50171,f179(x50172))+~E(f318(f318(f101(x50172),x50173),x50171),f179(x50172))
% 182.43/182.07 [5018]~P84(x50182)+E(x50181,f179(x50182))+~E(f318(f318(f101(x50182),x50181),x50183),f179(x50182))
% 182.43/182.07 [5019]~P101(x50192)+E(x50191,f233(x50192))+~E(f318(f318(f92(x50192),x50193),x50191),f233(x50192))
% 182.43/182.07 [5020]~P101(x50202)+E(x50201,f233(x50202))+~E(f318(f318(f92(x50202),x50201),x50203),f233(x50202))
% 182.43/182.07 [5090]~P73(x50902)+E(x50901,f318(f74(x50902),x50903))+~E(f318(f318(f75(x50902),x50901),x50903),f2(x50902))
% 182.43/182.07 [5091]~P73(x50911)+E(f318(f74(x50911),x50912),x50913)+~E(f318(f318(f75(x50911),x50912),x50913),f2(x50911))
% 182.43/182.07 [5093]~E(x50932,x50933)+~P64(x50931)+P1(f318(f318(f226(x50931),x50932),x50933))
% 182.43/182.07 [5095]~E(x50952,x50953)+~P108(x50951)+P1(f318(f318(f226(x50951),x50952),x50953))
% 182.43/182.07 [5193]~P119(x51931)+~E(x51932,f318(f74(x51931),x51933))+E(f318(f318(f76(x51931),x51932),x51932),f318(f318(f76(x51931),x51933),x51933))
% 182.43/182.07 [5201]~P82(x52011)+~P13(x52011,x52013)+P13(x52011,f318(f318(f166(x52011),x52012),x52013))
% 182.43/182.07 [5202]~P82(x52021)+~P13(x52021,x52023)+P13(x52021,f318(f318(f129(x52021),x52022),x52023))
% 182.43/182.07 [5238]E(x52381,x52382)+E(x52383,f2(a898))+~E(f318(f318(f76(a898),x52383),x52381),f318(f318(f76(a898),x52383),x52382))
% 182.43/182.07 [5239]E(x52391,x52392)+E(x52393,f2(a898))+~E(f318(f318(f76(a898),x52391),x52393),f318(f318(f76(a898),x52392),x52393))
% 182.43/182.07 [5317]~E(x53172,x53173)+~P108(x53171)+E(f294(x53171,x53172,x53173),f318(f318(f300(x53171),x53172),f179(f905(x53171,a894))))
% 182.43/182.07 [5352]~P110(x53521)+~E(f318(f70(x53521),x53522),f318(f70(x53521),x53523))+P1(f318(f318(f278(x53521),x53522),x53523))
% 182.43/182.07 [5360]~E(x53601,x53602)+~P82(x53603)+~P1(f318(f318(f227(x53603),x53601),x53602))
% 182.43/182.07 [5361]~E(x53611,x53612)+~P108(x53613)+~P1(f318(f318(f227(x53613),x53611),x53612))
% 182.43/182.07 [5374]~P108(x53741)+E(f318(f293(x53741,x53742),x53743),f179(f905(x53741,a894)))+P1(f318(f318(f227(x53741),x53742),x53743))
% 182.43/182.07 [5423]~P108(x54231)+E(f294(x54231,x54232,x54233),f179(f905(x54231,a894)))+P1(f318(f318(f226(x54231),x54232),x54233))
% 182.43/182.07 [5424]~P108(x54241)+E(f296(x54241,x54242,x54243),f179(f905(x54241,a894)))+P1(f318(f318(f227(x54241),x54242),x54243))
% 182.43/182.07 [5425]~P108(x54251)+E(f179(f905(x54251,a894)),f294(x54251,x54252,x54253))+P1(f318(f318(f226(x54251),x54252),x54253))
% 182.43/182.07 [5426]~P108(x54261)+E(f179(f905(x54261,a894)),f296(x54261,x54262,x54263))+P1(f318(f318(f227(x54261),x54262),x54263))
% 182.43/182.07 [5434]~P102(x54341)+~E(f318(f318(f92(x54341),x54342),x54343),x54342)+P1(f318(f318(f226(x54341),x54342),x54343))
% 182.43/182.07 [5435]~P104(x54351)+~E(f318(f318(f101(x54351),x54352),x54353),x54353)+P1(f318(f318(f226(x54351),x54352),x54353))
% 182.43/182.07 [5436]~P82(x54361)+~E(f318(f318(f224(x54361),x54362),x54363),x54362)+P1(f318(f318(f226(x54361),x54362),x54363))
% 182.43/182.07 [5437]~P82(x54371)+~E(f318(f318(f225(x54371),x54372),x54373),x54373)+P1(f318(f318(f226(x54371),x54372),x54373))
% 182.43/182.07 [5456]~P82(x54561)+P13(x54561,x54562)+~P13(x54561,f318(f318(f142(x54561),x54563),x54562))
% 182.43/182.07 [5457]~P82(x54571)+P13(x54571,x54572)+~P13(x54571,f318(f318(f125(x54571),x54573),x54572))
% 182.43/182.07 [5458]~P82(x54581)+P13(x54581,x54582)+~P13(x54581,f318(f318(f125(x54581),x54582),x54583))
% 182.43/182.07 [5463]~P3(x54631)+~E(f40(x54631,x54633,x54632),f2(x54631))+P1(f318(f318(f278(x54631),x54632),x54633))
% 182.43/182.07 [5525]~P82(x55251)+P1(f318(f318(f226(x55251),x55253),x55252))+P1(f318(f318(f226(x55251),x55252),x55253))
% 182.43/182.07 [5530]~P82(x55301)+P1(f318(f318(f227(x55301),x55303),x55302))+P1(f318(f318(f226(x55301),x55302),x55303))
% 182.43/182.07 [5567]~P102(x55671)+E(f318(f318(f92(x55671),x55672),x55673),x55673)+~P1(f318(f318(f226(x55671),x55673),x55672))
% 182.43/182.07 [5569]~P102(x55691)+E(f318(f318(f92(x55691),x55692),x55693),x55692)+~P1(f318(f318(f226(x55691),x55692),x55693))
% 182.43/182.07 [5570]~P104(x55701)+E(f318(f318(f101(x55701),x55702),x55703),x55702)+~P1(f318(f318(f226(x55701),x55703),x55702))
% 182.43/182.07 [5572]~P104(x55721)+E(f318(f318(f101(x55721),x55722),x55723),x55723)+~P1(f318(f318(f226(x55721),x55722),x55723))
% 182.43/182.07 [5573]~P82(x55731)+E(f318(f318(f224(x55731),x55732),x55733),x55733)+~P1(f318(f318(f226(x55731),x55733),x55732))
% 182.43/182.07 [5575]~P82(x55751)+E(f318(f318(f224(x55751),x55752),x55753),x55752)+~P1(f318(f318(f226(x55751),x55752),x55753))
% 182.43/182.07 [5576]~P82(x55761)+E(f318(f318(f225(x55761),x55762),x55763),x55762)+~P1(f318(f318(f226(x55761),x55763),x55762))
% 182.43/182.07 [5578]~P82(x55781)+E(f318(f318(f225(x55781),x55782),x55783),x55783)+~P1(f318(f318(f226(x55781),x55782),x55783))
% 182.43/182.07 [5585]~P121(x55852)+E(x55851,f2(x55852))+E(f318(f318(f282(x55852),f318(f74(x55852),x55853)),f318(f74(x55852),x55851)),f318(f318(f282(x55852),x55853),x55851))
% 182.43/182.07 [5592]~P3(x55921)+E(f40(x55921,x55922,x55923),f2(x55921))+~P1(f318(f318(f278(x55921),x55923),x55922))
% 182.43/182.07 [5638]~P108(x56381)+E(f318(f293(x56381,x56382),x56383),f179(f905(x56381,a894)))+~P1(f318(f318(f226(x56381),x56383),x56382))
% 182.43/182.07 [5671]~P108(x56711)+E(f294(x56711,x56712,x56713),f179(f905(x56711,a894)))+~P1(f318(f318(f227(x56711),x56713),x56712))
% 182.43/182.07 [5672]~P108(x56721)+E(f297(x56721,x56722,x56723),f179(f905(x56721,a894)))+~P1(f318(f318(f226(x56721),x56723),x56722))
% 182.43/182.07 [5673]~P108(x56731)+E(f296(x56731,x56732,x56733),f179(f905(x56731,a894)))+~P1(f318(f318(f226(x56731),x56733),x56732))
% 182.43/182.07 [5725]~E(f318(f318(f23(a898),x57251),x57253),x57252)+E(x57251,f318(f318(f75(a898),x57252),x57253))+~P1(f318(f318(f226(a898),x57253),x57251))
% 182.43/182.07 [5726]~E(x57261,f318(f318(f75(a898),x57263),x57262))+E(f318(f318(f23(a898),x57261),x57262),x57263)+~P1(f318(f318(f226(a898),x57262),x57261))
% 182.43/182.07 [5771]~P1(f318(x57711,x57713))+P1(f318(x57711,f879(x57711,x57712)))+~P1(f318(f318(f226(a898),x57713),x57712))
% 182.43/182.07 [5772]~P1(f318(x57721,x57723))+P1(f318(x57721,f882(x57721,x57722)))+~P1(f318(f318(f227(a898),x57723),x57722))
% 182.43/182.07 [5780]~P108(x57801)+~E(f318(f293(x57801,x57802),x57803),f179(f905(x57801,a894)))+~P1(f318(f318(f227(x57801),x57802),x57803))
% 182.43/182.07 [5785]~P64(x57851)+~P1(f318(f318(f227(x57851),x57852),x57853))+P1(f318(f318(f226(x57851),x57852),x57853))
% 182.43/182.07 [5787]~P108(x57871)+~P1(f318(f318(f227(x57871),x57872),x57873))+P1(f318(f318(f226(x57871),x57872),x57873))
% 182.43/182.07 [5905]~P108(x59051)+~E(f294(x59051,x59052,x59053),f179(f905(x59051,a894)))+~P1(f318(f318(f226(x59051),x59052),x59053))
% 182.43/182.07 [5906]~P108(x59061)+~E(f296(x59061,x59062,x59063),f179(f905(x59061,a894)))+~P1(f318(f318(f227(x59061),x59062),x59063))
% 182.43/182.07 [5907]~P108(x59071)+~E(f179(f905(x59071,a894)),f294(x59071,x59072,x59073))+~P1(f318(f318(f226(x59071),x59072),x59073))
% 182.43/182.07 [5908]~P108(x59081)+~E(f179(f905(x59081,a894)),f296(x59081,x59082,x59083))+~P1(f318(f318(f227(x59081),x59082),x59083))
% 182.43/182.07 [5918]P1(f318(x59181,x59182))+~P1(f318(x59181,f884(x59181,x59183)))+~P1(f318(f318(f226(a898),x59182),x59183))
% 182.43/182.07 [5919]P1(f318(x59191,x59192))+~P1(f318(x59191,f887(x59191,x59193)))+~P1(f318(f318(f227(a898),x59192),x59193))
% 182.43/182.07 [5927]~E(x59271,f318(a103,x59273))+P1(f318(f318(f227(a898),x59271),f318(a103,x59272)))+~P1(f318(f318(f227(a898),x59273),x59272))
% 182.43/182.07 [5946]E(x59461,x59462)+~E(f318(f318(f76(a898),x59463),x59461),f318(f318(f76(a898),x59463),x59462))+~P1(f318(f318(f227(a898),f2(a898)),x59463))
% 182.43/182.07 [6007]E(f318(x60071,f811(x60071,x60072,x60073)),f73(a898))+~E(f318(f318(f6(x60073,a898),x60071),x60072),f73(a898))+~P1(f318(f28(x60073),x60072))
% 182.43/182.07 [6024]~P5(x60241)+P1(f318(f318(f226(x60241),x60242),f31(x60241,x60243)))+~P1(f318(f318(f320(x60241),x60242),x60243))
% 182.43/182.07 [6047]~P64(x60471)+~P1(f318(f318(f227(x60471),x60473),x60472))+~P1(f318(f318(f226(x60471),x60472),x60473))
% 182.43/182.07 [6051]~P64(x60511)+~P1(f318(f318(f227(x60511),x60513),x60512))+~P1(f318(f318(f227(x60511),x60512),x60513))
% 182.43/182.07 [6054]~P82(x60541)+~P1(f318(f318(f227(x60541),x60543),x60542))+~P1(f318(f318(f226(x60541),x60542),x60543))
% 182.43/182.07 [6055]~P82(x60551)+~P1(f318(f318(f227(x60551),x60553),x60552))+~P1(f318(f318(f227(x60551),x60552),x60553))
% 182.43/182.07 [6056]~P108(x60561)+~P1(f318(f318(f227(x60561),x60563),x60562))+~P1(f318(f318(f227(x60561),x60562),x60563))
% 182.43/182.07 [6076]~E(x60762,x60763)+~E(x60761,x60762)+E(f281(a898,f278(a898),x60761,x60762),f318(f318(f300(a898),x60763),f179(f905(a898,a894))))
% 182.43/182.07 [6083]~E(f318(x60832,f798(x60832,x60833,x60831)),f2(a898))+E(f318(f318(f6(x60831,a898),x60832),x60833),f2(a898))+~P1(f318(f28(x60831),x60833))
% 182.43/182.07 [6084]~E(f318(x60842,f835(x60842,x60843,x60841)),f73(a898))+E(f318(f318(f9(x60841,a898),x60842),x60843),f73(a898))+~P1(f318(f28(x60841),x60843))
% 182.43/182.07 [6100]~P81(x61001)+~P1(f318(f318(f226(x61001),x61003),x61002))+P1(f318(f318(f320(x61001),x61002),f318(f274(x61001),x61003)))
% 182.43/182.07 [6101]~P81(x61011)+~P1(f318(f318(f227(x61011),x61013),x61012))+P1(f318(f318(f320(x61011),x61012),f318(f295(x61011),x61013)))
% 182.43/182.07 [6102]~P81(x61021)+~P1(f318(f318(f227(x61021),x61022),x61023))+P1(f318(f318(f320(x61021),x61022),f318(f273(x61021),x61023)))
% 182.43/182.07 [6103]~P81(x61031)+~P1(f318(f318(f226(x61031),x61032),x61033))+P1(f318(f318(f320(x61031),x61032),f318(f292(x61031),x61033)))
% 182.43/182.07 [6104]~P110(x61041)+~P1(f318(f318(f278(x61041),x61042),x61043))+P1(f318(f318(f278(x61041),x61042),f318(f70(x61041),x61043)))
% 182.43/182.07 [6105]~P116(x61051)+~P1(f318(f318(f278(x61051),x61052),x61053))+P1(f318(f318(f278(x61051),x61052),f318(f74(x61051),x61053)))
% 182.43/182.07 [6117]E(f318(x61171,f812(x61171,x61172,x61173)),f318(a103,f2(a898)))+~E(f318(f318(f6(x61173,a898),x61171),x61172),f318(a103,f2(a898)))+~P1(f318(f28(x61173),x61172))
% 182.43/182.07 [6200]~P5(x62001)+~P1(f318(f318(f320(x62001),x62003),x62002))+P1(f318(f318(f226(x62001),f32(x62001,x62002)),x62003))
% 182.43/182.07 [6221]~P1(f318(f318(f226(a898),x62211),x62213))+P1(f318(f318(f226(a898),x62211),x62212))+~P1(f318(f318(f226(a898),x62213),x62212))
% 182.43/182.07 [6222]~P1(f318(f318(f226(a1),x62221),x62223))+P1(f318(f318(f226(a1),x62221),x62222))+~P1(f318(f318(f226(a1),x62223),x62222))
% 182.43/182.07 [6223]~P1(f318(f318(f278(a898),x62231),x62233))+P1(f318(f318(f278(a898),x62231),x62232))+~P1(f318(f318(f278(a898),x62233),x62232))
% 182.43/182.07 [6243]~P81(x62431)+~P1(f318(f318(f320(x62431),x62433),f318(f274(x62431),x62432)))+P1(f318(f318(f226(x62431),x62432),x62433))
% 182.43/182.07 [6244]~P81(x62441)+~P1(f318(f318(f320(x62441),x62442),f318(f292(x62441),x62443)))+P1(f318(f318(f226(x62441),x62442),x62443))
% 182.43/182.07 [6245]~P81(x62451)+~P1(f318(f318(f320(x62451),x62453),f318(f295(x62451),x62452)))+P1(f318(f318(f227(x62451),x62452),x62453))
% 182.43/182.07 [6246]~P81(x62461)+~P1(f318(f318(f320(x62461),x62462),f318(f273(x62461),x62463)))+P1(f318(f318(f227(x62461),x62462),x62463))
% 182.43/182.07 [6247]~P110(x62471)+~P1(f318(f318(f278(x62471),x62472),f318(f70(x62471),x62473)))+P1(f318(f318(f278(x62471),x62472),x62473))
% 182.43/182.07 [6248]~P116(x62481)+~P1(f318(f318(f278(x62481),x62482),f318(f74(x62481),x62483)))+P1(f318(f318(f278(x62481),x62482),x62483))
% 182.43/182.07 [6322]~P1(f318(x63221,x63222))+P1(f318(x63221,f758(x63221)))+~P1(f318(f318(f320(x63223),x63222),f233(f905(x63223,a894))))
% 182.43/182.07 [6470]~P62(x64701)+P1(f318(f318(f227(x64701),f2(x64701)),f376(x64703,x64702,x64701)))+P1(f318(f318(f226(x64701),x64702),x64703))
% 182.43/182.07 [6471]~P63(x64711)+P1(f318(f318(f227(x64711),f2(x64711)),f747(x64713,x64712,x64711)))+P1(f318(f318(f226(x64711),x64712),x64713))
% 182.43/182.07 [6540]~P65(x65401)+~P1(f318(f318(f226(x65401),x65403),f318(f74(x65401),x65402)))+P1(f318(f318(f226(x65401),x65402),f318(f74(x65401),x65403)))
% 182.43/182.07 [6542]~P65(x65421)+~P1(f318(f318(f227(x65421),x65423),f318(f74(x65421),x65422)))+P1(f318(f318(f227(x65421),x65422),f318(f74(x65421),x65423)))
% 182.43/182.07 [6554]~P1(f318(f318(f227(a898),x65541),x65543))+~P1(f318(f318(f227(a898),x65543),x65542))+P1(f318(f318(f227(a898),f318(a103,x65541)),x65542))
% 182.43/182.07 [6585]~P109(x65851)+P1(f318(f318(f226(x65851),f318(f91(x65851),x65852)),f318(f91(x65851),x65853)))+~P1(f318(f318(f226(a898),x65852),x65853))
% 182.43/182.07 [6586]~P110(x65861)+P1(f318(f318(f226(x65861),f318(f93(x65861),x65862)),f318(f93(x65861),x65863)))+~P1(f318(f318(f226(a1),x65862),x65863))
% 182.43/182.07 [6588]~P110(x65881)+P1(f318(f318(f227(x65881),f318(f93(x65881),x65882)),f318(f93(x65881),x65883)))+~P1(f318(f318(f227(a1),x65882),x65883))
% 182.43/182.07 [6589]~P109(x65891)+P1(f318(f318(f227(x65891),f318(f91(x65891),x65892)),f318(f91(x65891),x65893)))+~P1(f318(f318(f227(a898),x65892),x65893))
% 182.43/182.07 [6595]~P82(x65951)+E(f318(f318(f101(f905(x65951,a894)),f318(f273(x65951),x65952)),f318(f293(x65951,x65952),x65953)),f318(f273(x65951),x65953))+~P1(f318(f318(f226(x65951),x65952),x65953))
% 182.43/182.07 [6625]~P65(x66251)+~P1(f318(f318(f226(x66251),x66253),x66252))+P1(f318(f318(f226(x66251),f318(f74(x66251),x66252)),f318(f74(x66251),x66253)))
% 182.43/182.07 [6627]~P97(x66271)+~P1(f318(f318(f226(x66271),x66273),x66272))+P1(f318(f318(f226(x66271),f318(f74(x66271),x66272)),f318(f74(x66271),x66273)))
% 182.43/182.07 [6628]~P65(x66281)+~P1(f318(f318(f227(x66281),x66283),x66282))+P1(f318(f318(f227(x66281),f318(f74(x66281),x66282)),f318(f74(x66281),x66283)))
% 182.43/182.07 [6664]~P82(x66641)+E(f318(f318(f101(f905(x66641,a894)),f318(f273(x66641),x66642)),f294(x66641,x66642,x66643)),f318(f292(x66641),x66643))+~P1(f318(f318(f226(x66641),x66642),x66643))
% 182.43/182.07 [6665]~P82(x66651)+E(f318(f318(f101(f905(x66651,a894)),f318(f292(x66651),x66652)),f297(x66651,x66652,x66653)),f318(f273(x66651),x66653))+~P1(f318(f318(f227(x66651),x66652),x66653))
% 182.43/182.07 [6666]~P82(x66661)+E(f318(f318(f101(f905(x66661,a894)),f318(f292(x66661),x66662)),f296(x66661,x66662,x66663)),f318(f292(x66661),x66663))+~P1(f318(f318(f226(x66661),x66662),x66663))
% 182.43/182.07 [6700]~P82(x67001)+E(f318(f318(f101(f905(x67001,a894)),f318(f293(x67001,x67002),x67003)),f318(f274(x67001),x67003)),f318(f274(x67001),x67002))+~P1(f318(f318(f226(x67001),x67002),x67003))
% 182.43/182.07 [6861]~P82(x68611)+E(f318(f318(f101(f905(x68611,a894)),f294(x68611,x68612,x68613)),f318(f295(x68611),x68613)),f318(f274(x68611),x68612))+~P1(f318(f318(f226(x68611),x68612),x68613))
% 182.43/182.07 [6862]~P82(x68621)+E(f318(f318(f101(f905(x68621,a894)),f297(x68621,x68622,x68623)),f318(f274(x68621),x68623)),f318(f295(x68621),x68622))+~P1(f318(f318(f227(x68621),x68622),x68623))
% 182.43/182.07 [6863]~P82(x68631)+E(f318(f318(f101(f905(x68631,a894)),f296(x68631,x68632,x68633)),f318(f295(x68631),x68633)),f318(f295(x68631),x68632))+~P1(f318(f318(f226(x68631),x68632),x68633))
% 182.43/182.07 [6882]P1(f318(x68821,x68822))+~P1(f318(f318(f226(a898),x68822),x68823))+P1(f318(f318(f320(a898),f884(x68821,x68823)),f294(a898,f2(a898),x68823)))
% 182.43/182.07 [6916]E(x69161,x69162)+~E(f318(f318(f155(x69163),x69161),f634(x69163,x69162,x69161)),f318(f318(f155(x69163),x69162),f634(x69163,x69162,x69161)))+~E(f318(f180(f899(x69163)),x69161),f318(f180(f899(x69163)),x69162))
% 182.43/182.07 [6921]~E(x69213,f318(f318(f30(a898),x69211),x69212))+~P1(f318(f318(f227(a898),f2(a898)),x69212))+P1(f318(f318(f227(a898),x69211),f318(f318(f76(a898),x69212),f318(a103,x69213))))
% 182.43/182.07 [6937]~P1(f318(x69371,x69373))+~P1(f318(f318(f226(a898),x69373),x69372))+P1(f318(f318(f320(a898),f879(x69371,x69372)),f294(a898,f2(a898),x69372)))
% 182.43/182.07 [6976]~P1(f318(x69761,x69763))+P1(f318(x69761,f885(x69761,x69762)))+~P1(f318(f318(f320(a898),x69763),f294(a898,f2(a898),x69762)))
% 182.43/182.07 [6996]~P109(x69963)+~P1(f318(f318(f226(x69963),f318(f91(x69963),x69961)),f318(f91(x69963),x69962)))+P1(f318(f318(f226(a898),x69961),x69962))
% 182.43/182.07 [6997]~P110(x69973)+~P1(f318(f318(f226(x69973),f318(f93(x69973),x69971)),f318(f93(x69973),x69972)))+P1(f318(f318(f226(a1),x69971),x69972))
% 182.43/182.07 [6999]~P109(x69993)+~P1(f318(f318(f227(x69993),f318(f91(x69993),x69991)),f318(f91(x69993),x69992)))+P1(f318(f318(f227(a898),x69991),x69992))
% 182.43/182.07 [7000]~P110(x70003)+~P1(f318(f318(f227(x70003),f318(f93(x70003),x70001)),f318(f93(x70003),x70002)))+P1(f318(f318(f227(a1),x70001),x70002))
% 182.43/182.07 [7017]~P109(x70171)+~P1(f318(f318(f227(x70171),f73(x70171)),x70172))+P1(f318(f318(f227(x70171),f73(x70171)),f318(f318(f235(x70171),x70172),f318(a103,x70173))))
% 182.43/182.07 [7020]~P65(x70201)+~P1(f318(f318(f226(x70201),f318(f74(x70201),x70203)),f318(f74(x70201),x70202)))+P1(f318(f318(f226(x70201),x70202),x70203))
% 182.43/182.07 [7021]~P97(x70211)+~P1(f318(f318(f226(x70211),f318(f74(x70211),x70213)),f318(f74(x70211),x70212)))+P1(f318(f318(f226(x70211),x70212),x70213))
% 182.43/182.07 [7022]~P65(x70221)+~P1(f318(f318(f227(x70221),f318(f74(x70221),x70223)),f318(f74(x70221),x70222)))+P1(f318(f318(f227(x70221),x70222),x70223))
% 182.43/182.07 [7046]P1(f318(x70461,x70462))+~P1(f318(x70461,f886(x70461,x70463)))+~P1(f318(f318(f320(a898),x70462),f294(a898,f2(a898),x70463)))
% 182.43/182.07 [7068]~P62(x70681)+P1(f318(f318(f227(x70681),f376(x70683,x70682,x70681)),f73(x70681)))+P1(f318(f318(f226(x70681),x70682),x70683))
% 182.43/182.07 [7088]~E(f40(a898,x70883,x70882),f40(a898,x70881,x70882))+E(f318(f318(f75(a898),x70881),f318(f318(f76(a898),x70882),f436(x70881,x70882,x70883))),x70883)+~P1(f318(f318(f226(a898),x70881),x70883))
% 182.43/182.07 [7143]E(f318(f318(f6(x71431,a898),x71432),x71433),f2(a898))+~P1(f318(f28(x71431),x71433))+P1(f318(f318(f320(x71431),f798(x71432,x71433,x71431)),x71433))
% 182.43/182.07 [7144]E(f318(f318(f9(x71441,a898),x71442),x71443),f73(a898))+~P1(f318(f28(x71441),x71443))+P1(f318(f318(f320(x71441),f835(x71442,x71443,x71441)),x71443))
% 182.43/182.07 [7166]~P82(x71661)+~P1(f318(f318(f226(x71661),x71662),x71663))+P1(f318(f318(f226(f905(x71661,a894)),f318(f273(x71661),x71662)),f318(f273(x71661),x71663)))
% 182.43/182.07 [7167]~P108(x71671)+~P1(f318(f318(f226(x71671),x71672),x71673))+P1(f318(f318(f226(f905(x71671,a894)),f318(f292(x71671),x71672)),f318(f292(x71671),x71673)))
% 182.43/182.07 [7168]~P108(x71681)+~P1(f318(f318(f226(x71681),x71683),x71682))+P1(f318(f318(f226(f905(x71681,a894)),f318(f274(x71681),x71682)),f318(f274(x71681),x71683)))
% 182.43/182.07 [7169]~P82(x71691)+~P1(f318(f318(f226(x71691),x71693),x71692))+P1(f318(f318(f226(f905(x71691,a894)),f318(f295(x71691),x71692)),f318(f295(x71691),x71693)))
% 182.43/182.07 [7170]~P82(x71701)+~P1(f318(f318(f227(x71701),x71702),x71703))+P1(f318(f318(f227(f905(x71701,a894)),f318(f273(x71701),x71702)),f318(f273(x71701),x71703)))
% 182.43/182.07 [7181]~P5(x71811)+P1(f318(f318(f226(x71811),x71812),f32(x71811,x71813)))+P1(f318(f318(f320(x71811),f583(x71813,x71812,x71811)),x71813))
% 182.43/182.07 [7187]~P65(x71871)+P1(f318(f318(f226(x71871),f318(f318(f23(x71871),x71872),x71873)),f2(x71871)))+~P1(f318(f318(f226(x71871),x71872),x71873))
% 182.43/182.07 [7188]~P65(x71881)+P1(f318(f318(f227(x71881),f318(f318(f23(x71881),x71882),x71883)),f2(x71881)))+~P1(f318(f318(f227(x71881),x71882),x71883))
% 182.43/182.07 [7230]P1(f318(x72301,x72302))+P1(f318(f318(f226(a898),f886(x72301,x72303)),x72303))+~P1(f318(f318(f320(a898),x72302),f294(a898,f2(a898),x72303)))
% 182.43/182.07 [7272]~E(f318(f318(f6(x72721,a898),x72722),x72723),f73(a898))+~P1(f318(f28(x72721),x72723))+P1(f318(f318(f320(x72721),f811(x72722,x72723,x72721)),x72723))
% 182.43/182.07 [7273]~P1(f318(x72731,x72733))+P1(f318(f318(f226(a898),f885(x72731,x72732)),x72732))+~P1(f318(f318(f320(a898),x72733),f294(a898,f2(a898),x72732)))
% 182.43/182.07 [7311]~P5(x73111)+P1(f318(f318(f320(x73111),f595(x73113,x73112,x73111)),x73112))+P1(f318(f318(f226(x73111),f31(x73111,x73112)),x73113))
% 182.43/182.07 [7345]~E(f318(f318(f6(x73451,a898),x73452),x73453),f318(a103,f2(a898)))+~P1(f318(f28(x73451),x73453))+P1(f318(f318(f320(x73451),f812(x73452,x73453,x73451)),x73453))
% 182.43/182.07 [7356]E(x73561,f2(a898))+P1(f318(x73562,f40(a898,x73563,x73561)))+P1(f318(f318(f227(a898),f384(x73561,x73563,x73562)),x73561))
% 182.43/182.07 [7468]~P1(f318(x74681,x74682))+P1(f318(x74681,f40(a898,x74682,x74683)))+P1(f318(f318(f227(a898),f384(x74683,x74682,x74681)),x74683))
% 182.43/182.07 [7581]E(x75811,f104(x75812))+~P1(f318(f318(f320(f899(x75812)),x75811),f152(x75812,x75813)))+P1(f318(f318(f320(x75812),f669(x75813,x75811,x75812)),x75813))
% 182.43/182.07 [7604]~P82(x76041)+E(f318(f318(f101(f905(x76041,a894)),f318(f318(f300(x76041),x76042),f179(f905(x76041,a894)))),f297(x76041,x76042,x76043)),f318(f293(x76041,x76042),x76043))+~P1(f318(f318(f227(x76041),x76042),x76043))
% 182.43/182.07 [7626]~P82(x76261)+E(f318(f318(f101(f905(x76261,a894)),f318(f318(f300(x76261),x76262),f179(f905(x76261,a894)))),f296(x76261,x76262,x76263)),f294(x76261,x76262,x76263))+~P1(f318(f318(f226(x76261),x76262),x76263))
% 182.43/182.07 [7737]~P82(x77371)+P1(f318(f318(f226(x77371),x77372),x77373))+~P1(f318(f318(f226(f905(x77371,a894)),f318(f295(x77371),x77373)),f318(f295(x77371),x77372)))
% 182.43/182.07 [7738]~P108(x77381)+P1(f318(f318(f226(x77381),x77382),x77383))+~P1(f318(f318(f226(f905(x77381,a894)),f318(f274(x77381),x77383)),f318(f274(x77381),x77382)))
% 182.43/182.07 [7739]~P82(x77391)+P1(f318(f318(f226(x77391),x77392),x77393))+~P1(f318(f318(f226(f905(x77391,a894)),f318(f273(x77391),x77392)),f318(f273(x77391),x77393)))
% 182.43/182.07 [7740]~P108(x77401)+P1(f318(f318(f226(x77401),x77402),x77403))+~P1(f318(f318(f226(f905(x77401,a894)),f318(f292(x77401),x77402)),f318(f292(x77401),x77403)))
% 182.43/182.07 [7741]~P82(x77411)+P1(f318(f318(f227(x77411),x77412),x77413))+~P1(f318(f318(f227(f905(x77411,a894)),f318(f273(x77411),x77412)),f318(f273(x77411),x77413)))
% 182.43/182.07 [7764]~P65(x77641)+~P1(f318(f318(f226(x77641),f318(f318(f23(x77641),x77642),x77643)),f2(x77641)))+P1(f318(f318(f226(x77641),x77642),x77643))
% 182.43/182.07 [7765]~P65(x77651)+~P1(f318(f318(f227(x77651),f318(f318(f23(x77651),x77652),x77653)),f2(x77651)))+P1(f318(f318(f227(x77651),x77652),x77653))
% 182.43/182.07 [7922]E(x79221,f2(a898))+~E(f318(f133(a898,a898,f75(a898),x79222),x79223),f2(a898))+~P1(f318(f318(f320(a898),x79221),f318(f163(a898),x79223)))
% 182.43/182.07 [7926]~P5(x79261)+~P1(f318(f318(f226(x79261),f595(x79263,x79262,x79261)),x79263))+P1(f318(f318(f226(x79261),f31(x79261,x79262)),x79263))
% 182.43/182.07 [8080]P1(f318(f318(f226(a1),f2(a1)),f378(x80801,x80802,x80803)))+P1(f318(f318(x80802,f318(f318(f30(a1),x80801),x80803)),f40(a1,x80801,x80803)))+~P1(f318(f318(f227(a1),f2(a1)),x80803))
% 182.43/182.07 [8168]E(x81681,x81682)+~E(f318(f180(f899(x81683)),x81681),f318(f180(f899(x81683)),x81682))+~P1(f318(f318(f248(x81683,x81683,a894),a315),f642(x81683,x81681,x81682)))
% 182.43/182.07 [8239]~P36(x82392,x82393)+E(x82391,f179(f905(x82392,a894)))+~P1(f318(f318(f226(f905(x82392,a894)),x82391),f318(f276(x82392,x82392,x82393),x82391)))
% 182.43/182.07 [8270]~P63(x82701)+~P1(f318(f318(f226(x82701),x82702),f318(f318(f75(x82701),x82703),f747(x82703,x82702,x82701))))+P1(f318(f318(f226(x82701),x82702),x82703))
% 182.43/182.07 [8305]P51(x83051,x83052,x83053)+P1(f318(f318(f320(x83051),f518(x83053,x83052,x83051)),x83052))+P1(f318(f318(f320(f904(x83051,x83051)),f519(x83053,x83052,x83051)),x83053))
% 182.43/182.07 [8326]P1(f318(f318(x83262,f318(f318(f30(a1),x83261),x83263)),f40(a1,x83261,x83263)))+~P1(f318(f318(f227(a1),f2(a1)),x83263))+P1(f318(f318(f227(a1),f378(x83261,x83262,x83263)),x83263))
% 182.43/182.07 [8351]E(f318(f301(a898,a898,f318(f318(f7(a898,a898,a898),f23(a898)),x83511)),f318(f293(a898,x83512),x83513)),f179(f905(a898,a894)))+P1(f318(f318(f227(a898),x83511),x83513))+P1(f318(f318(f227(a898),x83512),x83513))
% 182.43/182.07 [8463]E(f318(f301(a898,a898,f318(f318(f7(a898,a898,a898),f23(a898)),x84631)),f318(f293(a898,x84632),x84633)),f318(f318(f300(a898),f2(a898)),f179(f905(a898,a894))))+P1(f318(f318(f227(a898),x84631),x84633))+~P1(f318(f318(f227(a898),x84632),x84633))
% 182.43/182.07 [8477]~P82(x84771)+E(f140(x84771,x84771,f5(x84771),x84772,x84773),x84773)+~P1(f318(f318(f320(x84771),x84772),f318(f163(x84771),x84773)))
% 182.43/182.07 [8490]P24(x84901,x84901,x84902,x84903)+~P1(f318(f28(x84901),x84903))+~P1(f318(f318(f226(f905(x84901,a894)),x84903),f318(f301(x84901,x84901,x84902),x84903)))
% 182.43/182.07 [8516]E(f318(f318(f75(a1),f318(f318(f76(a1),x85161),f379(x85162,x85163,x85161))),f378(x85162,x85163,x85161)),x85162)+P1(f318(f318(x85163,f318(f318(f30(a1),x85162),x85161)),f40(a1,x85162,x85161)))+~P1(f318(f318(f227(a1),f2(a1)),x85161))
% 182.43/182.07 [8753]~P1(f318(f318(x87531,f379(x87532,x87531,x87533)),f378(x87532,x87531,x87533)))+P1(f318(f318(x87531,f318(f318(f30(a1),x87532),x87533)),f40(a1,x87532,x87533)))+~P1(f318(f318(f227(a1),f2(a1)),x87533))
% 182.43/182.07 [9654]~P1(f318(f28(x96541),x96542))+~P1(f318(f318(f320(x96541),x96543),x96542))+P1(f318(f318(f227(a898),f318(f29(x96541),f318(f318(f23(f905(x96541,a894)),x96542),f318(f318(f300(x96541),x96543),f179(f905(x96541,a894)))))),f318(f29(x96541),x96542)))
% 182.43/182.07 [10253]P51(x102531,x102532,x102533)+~P1(f318(f318(f248(x102531,x102531,a894),f318(f318(f7(x102531,f905(x102531,a894),f905(x102531,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x102531,a894),f905(x102531,a894)),x102531),f8(a894,a894,x102531)),f318(f318(f8(a894,f905(a894,a894),x102531),a316),f318(f318(f7(x102531,f905(x102531,a894),a894),f320(x102531)),x102532)))),f318(f318(f7(x102531,f905(x102531,a894),a894),f320(x102531)),x102532))),f519(x102533,x102532,x102531)))+P1(f318(f318(f320(x102531),f518(x102533,x102532,x102531)),x102532))
% 182.43/182.07 [5547]~P121(x55472)+E(x55471,f2(x55472))+E(f318(f318(f282(x55472),x55473),f318(f74(x55472),x55471)),f318(f74(x55472),f318(f318(f282(x55472),x55473),x55471)))
% 182.43/182.07 [5687]~E(x56873,f179(f905(x56871,a894)))+~E(x56872,f179(f905(x56871,a894)))+E(f318(f318(f101(f905(x56871,a894)),x56872),x56873),f179(f905(x56871,a894)))
% 182.43/182.07 [5745]~E(x57453,f2(a898))+~P1(f318(x57451,f2(a898)))+P1(f318(x57451,f318(f318(f30(a898),x57452),x57453)))
% 182.43/182.07 [5897]~P63(x58972)+E(x58971,f2(x58972))+E(f318(f318(f282(x58972),f318(f70(x58972),x58973)),f318(f70(x58972),x58971)),f318(f70(x58972),f318(f318(f282(x58972),x58973),x58971)))
% 182.43/182.07 [5996]~P111(x59961)+~E(x59962,f73(x59961))+P1(f318(f318(f278(x59961),x59962),f318(f318(f235(x59961),x59962),x59963)))
% 182.43/182.07 [6017]~P3(x60171)+E(f318(f318(f76(x60171),x60172),f318(f318(f30(x60171),x60173),x60172)),x60173)+~P1(f318(f318(f278(x60171),x60172),x60173))
% 182.43/182.07 [6072]~P1(f318(f28(x60721),x60723))+E(f318(f29(x60721),f318(f318(f300(x60721),x60722),x60723)),f318(a103,f318(f29(x60721),x60723)))+P1(f318(f318(f320(x60721),x60722),x60723))
% 182.43/182.07 [6149]~E(x61492,f2(a898))+P1(f318(x61491,f2(a898)))+~P1(f318(x61491,f318(f318(f30(a898),x61493),x61492)))
% 182.43/182.07 [6166]~P1(f318(f28(x61661),x61663))+E(f318(f29(x61661),f318(f318(f300(x61661),x61662),x61663)),f318(f29(x61661),x61663))+~P1(f318(f318(f320(x61661),x61662),x61663))
% 182.43/182.07 [6202]~P1(f318(f28(x62021),x62023))+E(f318(f29(x62021),f318(f318(f300(x62021),x62022),x62023)),f318(f318(f75(a898),f73(a898)),f318(f29(x62021),x62023)))+P1(f318(f318(f320(x62021),x62022),x62023))
% 182.43/182.07 [6209]~P4(x62091)+E(f318(f318(f30(x62091),x62092),f318(f74(x62091),x62093)),f318(f74(x62091),f318(f318(f30(x62091),x62092),x62093)))+~P1(f318(f318(f278(x62091),x62093),x62092))
% 182.43/182.07 [6323]E(f318(f318(f75(a898),x63231),f564(x63231,x63232,x63233)),x63232)+~P1(f318(x63233,f2(a898)))+P1(f318(x63233,f318(f318(f23(a898),x63232),x63231)))
% 182.43/182.07 [6324]E(f318(f318(f75(a898),x63241),f570(x63241,x63242,x63243)),x63242)+~P1(f318(x63243,f2(a898)))+P1(f318(x63243,f318(f318(f23(a898),x63242),x63241)))
% 182.43/182.07 [6349]~P4(x63491)+E(f318(f318(f30(x63491),f318(f74(x63491),x63492)),x63493),f318(f74(x63491),f318(f318(f30(x63491),x63492),x63493)))+~P1(f318(f318(f278(x63491),x63493),x63492))
% 182.43/182.07 [6373]~P5(x63731)+~P1(f318(f28(x63731),x63733))+E(f318(f318(f58(x63731,x63731,f92(x63731)),x63732),x63733),f318(f318(f92(x63731),x63732),f32(x63731,x63733)))
% 182.43/182.07 [6374]~P5(x63741)+~P1(f318(f28(x63741),x63743))+E(f318(f318(f58(x63741,x63741,f101(x63741)),x63742),x63743),f318(f318(f101(x63741),x63742),f31(x63741,x63743)))
% 182.43/182.07 [6380]~P95(x63801)+~E(f318(f94(x63801),x63802),f318(f94(x63801),x63803))+P27(x63801,f318(f94(x63801),f318(f318(f75(a1),x63802),f318(f74(a1),x63803))))
% 182.43/182.07 [6390]~P127(x63901)+E(f318(f318(f23(x63901),f318(f91(x63901),x63902)),f318(f91(x63901),x63903)),f318(f91(x63901),f318(f318(f23(a898),x63902),x63903)))+~P1(f318(f318(f226(a898),x63903),x63902))
% 182.43/182.07 [6397]~P110(x63971)+~P1(f318(f318(f278(x63971),x63972),x63973))+P1(f318(f318(f278(x63971),f318(f70(x63971),x63972)),x63973))
% 182.43/182.07 [6398]~P116(x63981)+~P1(f318(f318(f278(x63981),x63982),x63983))+P1(f318(f318(f278(x63981),f318(f74(x63981),x63982)),x63983))
% 182.43/182.07 [6481]E(f318(f318(f75(a898),x64811),f564(x64811,x64812,x64813)),x64812)+P1(f318(f318(f227(a898),x64812),x64811))+P1(f318(x64813,f318(f318(f23(a898),x64812),x64811)))
% 182.43/182.07 [6482]E(f318(f318(f75(a898),x64821),f570(x64821,x64822,x64823)),x64822)+P1(f318(f318(f227(a898),x64822),x64821))+P1(f318(x64823,f318(f318(f23(a898),x64822),x64821)))
% 182.43/182.07 [6498]~P110(x64981)+E(f318(f318(f76(x64981),f318(f70(x64981),x64982)),x64983),f318(f70(x64981),f318(f318(f76(x64981),x64982),x64983)))+~P1(f318(f318(f226(x64981),f2(x64981)),x64983))
% 182.43/182.07 [6499]~P62(x64991)+E(f318(f318(f282(x64991),f318(f70(x64991),x64992)),x64993),f318(f70(x64991),f318(f318(f282(x64991),x64992),x64993)))+~P1(f318(f318(f227(x64991),f2(x64991)),x64993))
% 182.43/182.07 [6508]~P83(x65081)+~P1(f318(f28(x65081),x65083))+E(f318(f318(f58(x65081,x65081,f92(x65081)),x65082),x65083),f10(x65081,f318(f318(f300(x65081),x65082),x65083)))
% 182.43/182.07 [6509]~P83(x65091)+~P1(f318(f28(x65091),x65093))+E(f318(f318(f58(x65091,x65091,f101(x65091)),x65092),x65093),f13(x65091,f318(f318(f300(x65091),x65092),x65093)))
% 182.43/182.07 [6510]~P82(x65101)+~P1(f318(f28(x65101),x65103))+E(f318(f318(f58(x65101,x65101,f224(x65101)),x65102),x65103),f14(x65101,f318(f318(f300(x65101),x65102),x65103)))
% 182.43/182.07 [6511]~P82(x65111)+~P1(f318(f28(x65111),x65113))+E(f318(f318(f58(x65111,x65111,f225(x65111)),x65112),x65113),f15(x65111,f318(f318(f300(x65111),x65112),x65113)))
% 182.43/182.07 [6556]E(x65561,f104(x65562))+~E(f170(x65562,x65563),f104(f899(x65562)))+~P1(f318(f318(f320(f899(x65562)),x65561),f318(f163(f899(x65562)),x65563)))
% 182.43/182.07 [6575]~P111(x65751)+~P1(f318(f318(f227(a898),f2(a898)),x65753))+P1(f318(f318(f278(x65751),x65752),f318(f318(f235(x65751),x65752),x65753)))
% 182.43/182.07 [6603]~P1(f318(f128(x66031),x66033))+P1(f318(f318(f320(x66031),x66032),f318(f163(x66031),x66033)))+P1(f318(f128(x66031),f318(f318(f142(x66031),x66032),x66033)))
% 182.43/182.07 [6614]~P98(x66141)+~P1(f318(f28(x66141),x66143))+E(f318(f57(x66141,f76(x66141)),f318(f318(f300(x66141),x66142),x66143)),f318(f318(f58(x66141,x66141,f76(x66141)),x66142),x66143))
% 182.43/182.07 [6636]~P82(x66361)+~P1(f318(f28(x66361),x66363))+E(f11(x66361,f224(x66361),f318(f318(f300(x66361),x66362),x66363)),f318(f318(f58(x66361,x66361,f224(x66361)),x66362),x66363))
% 182.43/182.07 [6637]~P82(x66371)+~P1(f318(f28(x66371),x66373))+E(f12(x66371,f225(x66371),f318(f318(f300(x66371),x66372),x66373)),f318(f318(f58(x66371,x66371,f225(x66371)),x66372),x66373))
% 182.43/182.07 [6639]P1(f318(x66391,f2(a898)))+~P1(f318(f318(f227(a898),x66392),x66393))+~P1(f318(x66391,f318(f318(f23(a898),x66392),x66393)))
% 182.43/182.07 [6660]~P87(x66601)+P1(f318(f318(f226(x66601),x66602),x66603))+~P1(f318(f318(f226(x66601),f318(f70(x66601),x66602)),x66603))
% 182.43/182.07 [6661]~P110(x66611)+P1(f318(f318(f227(x66611),x66612),x66613))+~P1(f318(f318(f227(x66611),f318(f70(x66611),x66612)),x66613))
% 182.43/182.07 [6662]~P110(x66621)+P1(f318(f318(f278(x66621),x66622),x66623))+~P1(f318(f318(f278(x66621),f318(f70(x66621),x66622)),x66623))
% 182.43/182.07 [6663]~P116(x66631)+P1(f318(f318(f278(x66631),x66632),x66633))+~P1(f318(f318(f278(x66631),f318(f74(x66631),x66632)),x66633))
% 182.43/182.07 [6680]E(x66801,f104(x66802))+E(f318(f132(x66802),f318(f318(f129(x66802),x66803),x66801)),f318(f318(f155(x66802),x66801),x66803))+~P1(f318(f318(f227(a898),x66803),f318(f180(f899(x66802)),x66801)))
% 182.43/182.07 [6735]~P1(f318(x67351,x67353))+P1(f318(x67351,f888(x67351,x67352)))+~P1(f318(f318(f320(a898),x67353),f318(f293(a898,f2(a898)),x67352)))
% 182.43/182.07 [6755]P1(f318(x67551,x67552))+~P1(f318(f318(f227(a898),x67552),x67553))+P1(f318(f318(f320(a898),f887(x67551,x67553)),f318(f293(a898,f2(a898)),x67553)))
% 182.43/182.07 [6770]~P109(x67701)+~P1(f318(f318(f226(x67701),f73(x67701)),x67702))+P1(f318(f318(f226(x67701),f73(x67701)),f318(f318(f235(x67701),x67702),x67703)))
% 182.43/182.07 [6772]~P109(x67721)+~P1(f318(f318(f226(x67721),f2(x67721)),x67722))+P1(f318(f318(f226(x67721),f2(x67721)),f318(f318(f235(x67721),x67722),x67723)))
% 182.43/182.07 [6774]~P109(x67741)+~P1(f318(f318(f227(x67741),f2(x67741)),x67742))+P1(f318(f318(f227(x67741),f2(x67741)),f318(f318(f235(x67741),x67742),x67743)))
% 182.43/182.07 [6799]~P1(f318(x67991,x67993))+~P1(f318(f318(f227(a898),x67993),x67992))+P1(f318(f318(f320(a898),f882(x67991,x67992)),f318(f293(a898,f2(a898)),x67992)))
% 182.43/182.07 [6807]P1(f318(f28(x68071),x68072))+~P1(f318(f28(x68071),x68073))+~P1(f318(f318(f226(f905(x68071,a894)),x68072),x68073))
% 182.43/182.07 [6814]~P1(f318(f318(f278(a898),x68141),x68142))+~P1(f318(f318(f278(a898),x68141),x68143))+P1(f318(f318(f278(a898),x68141),f318(f318(f23(a898),x68142),x68143)))
% 182.43/182.07 [6815]P1(f318(x68151,x68152))+~P1(f318(x68151,f889(x68151,x68153)))+~P1(f318(f318(f320(a898),x68152),f318(f293(a898,f2(a898)),x68153)))
% 182.43/182.07 [6828]E(x68281,f2(a898))+P1(f318(x68282,f368(x68281,x68283,x68282)))+~P1(f318(x68282,f318(f318(f30(a898),x68283),x68281)))
% 182.43/182.07 [6836]~P124(x68362)+E(x68361,f2(x68362))+~E(f318(f318(f75(x68362),f318(f318(f76(x68362),x68363),x68363)),f318(f318(f76(x68362),x68361),x68361)),f2(x68362))
% 182.43/182.07 [6837]~P124(x68372)+E(x68371,f2(x68372))+~E(f318(f318(f75(x68372),f318(f318(f76(x68372),x68371),x68371)),f318(f318(f76(x68372),x68373),x68373)),f2(x68372))
% 182.43/182.07 [6883]E(x68831,f2(a898))+~P1(f318(x68832,f369(x68831,x68833,x68832)))+P1(f318(x68832,f318(f318(f30(a898),x68833),x68831)))
% 182.43/182.07 [6888]~P82(x68881)+~P13(x68881,x68883)+P13(x68881,f318(f318(f139(x68881,x68881,f5(x68881)),x68882),x68883))
% 182.43/182.07 [6930]P1(f318(x69301,f368(x69302,x69303,x69301)))+P1(f318(x69301,f2(a898)))+~P1(f318(x69301,f318(f318(f30(a898),x69303),x69302)))
% 182.43/182.07 [6936]~P95(x69361)+E(f318(f94(x69361),x69362),f318(f94(x69361),x69363))+~P27(x69361,f318(f94(x69361),f318(f318(f75(a1),x69362),f318(f74(a1),x69363))))
% 182.43/182.07 [7003]E(x70031,f2(a1))+E(x70032,f2(a1))+~P1(f318(f44(x70032,x70032),f318(f318(f243(a1,a1),x70033),x70031)))
% 182.43/182.07 [7004]E(x70041,f73(a1))+E(x70042,f2(a1))+~P1(f318(f44(x70042,x70042),f318(f318(f243(a1,a1),x70041),x70043)))
% 182.43/182.07 [7019]P1(f318(x70191,x70192))+P1(f318(f318(f227(a898),f889(x70191,x70193)),x70193))+~P1(f318(f318(f320(a898),x70192),f318(f293(a898,f2(a898)),x70193)))
% 182.43/182.07 [7042]~P1(f318(x70421,f564(x70423,x70422,x70421)))+~P1(f318(x70421,f2(a898)))+P1(f318(x70421,f318(f318(f23(a898),x70422),x70423)))
% 182.43/182.07 [7043]~P1(f318(x70431,f570(x70433,x70432,x70431)))+~P1(f318(x70431,f2(a898)))+P1(f318(x70431,f318(f318(f23(a898),x70432),x70433)))
% 182.43/182.07 [7044]~P1(f318(x70441,f369(x70443,x70442,x70441)))+~P1(f318(x70441,f2(a898)))+P1(f318(x70441,f318(f318(f30(a898),x70442),x70443)))
% 182.43/182.07 [7064]~P1(f318(x70641,x70643))+P1(f318(f318(f227(a898),f888(x70641,x70642)),x70642))+~P1(f318(f318(f320(a898),x70643),f318(f293(a898,f2(a898)),x70642)))
% 182.43/182.07 [7065]E(f318(f318(f23(a898),f318(f318(f23(a898),x70651),x70652)),f318(f318(f23(a898),x70653),x70652)),f318(f318(f23(a898),x70651),x70653))+~P1(f318(f318(f226(a898),x70652),x70651))+~P1(f318(f318(f226(a898),x70652),x70653))
% 182.43/182.07 [7101]~P65(x71011)+~P1(f318(f318(f226(x71011),f318(f74(x71011),x71013)),x71012))+P1(f318(f318(f226(x71011),f318(f74(x71011),x71012)),x71013))
% 182.43/182.07 [7103]~P87(x71031)+~P1(f318(f318(f226(x71031),f318(f70(x71031),x71032)),x71033))+P1(f318(f318(f226(x71031),f318(f74(x71031),x71032)),x71033))
% 182.43/182.07 [7105]~P65(x71051)+~P1(f318(f318(f227(x71051),f318(f74(x71051),x71053)),x71052))+P1(f318(f318(f227(x71051),f318(f74(x71051),x71052)),x71053))
% 182.43/182.07 [7106]~P110(x71061)+~P1(f318(f318(f227(x71061),f318(f70(x71061),x71062)),x71063))+P1(f318(f318(f227(x71061),f318(f74(x71061),x71062)),x71063))
% 182.43/182.07 [7138]~P1(f318(x71383,f564(x71382,x71381,x71383)))+P1(f318(f318(f227(a898),x71381),x71382))+P1(f318(x71383,f318(f318(f23(a898),x71381),x71382)))
% 182.43/182.07 [7139]~P1(f318(x71393,f570(x71392,x71391,x71393)))+P1(f318(f318(f227(a898),x71391),x71392))+P1(f318(x71393,f318(f318(f23(a898),x71391),x71392)))
% 182.43/182.07 [7191]~E(f601(x71913,x71912,x71911),f602(x71913,x71912,x71911))+E(f318(f318(f92(f905(x71911,a894)),x71912),f31(f905(x71911,a894),x71913)),f179(f905(x71911,a894)))+P1(f318(f318(f320(f905(x71911,a894)),x71912),x71913))
% 182.43/182.07 [7199]~P1(f318(f28(x71991),x71993))+P1(f318(f28(x71991),f32(f905(x71991,a894),x71992)))+~P1(f318(f318(f320(f905(x71991,a894)),x71993),x71992))
% 182.43/182.07 [7259]~P82(x72591)+E(f318(f318(f101(f905(x72591,a894)),f318(f293(x72591,x72592),x72593)),f318(f318(f300(x72591),x72593),f179(f905(x72591,a894)))),f294(x72591,x72592,x72593))+~P1(f318(f318(f226(x72591),x72592),x72593))
% 182.43/182.07 [7262]E(x72621,f2(a898))+P1(f318(f318(f227(a898),f370(x72621,x72623,x72622)),x72621))+P1(f318(x72622,f318(f318(f30(a898),x72623),x72621)))
% 182.43/182.07 [7291]P1(f318(f318(f227(a898),f318(f180(f899(x72911)),x72912)),f760(x72913,x72911)))+~P1(f318(f28(f899(x72911)),x72913))+~P1(f318(f318(f320(f899(x72911)),x72912),x72913))
% 182.43/182.07 [7297]E(x72971,x72972)+~P1(f318(f318(f226(f905(x72973,a894)),x72971),x72972))+P1(f318(f318(f227(f905(x72973,a894)),x72971),x72972))
% 182.43/182.07 [7308]E(x73081,x73082)+~E(f318(f180(f899(x73083)),x73081),f318(f180(f899(x73083)),x73082))+P1(f318(f318(f227(a898),f634(x73083,x73081,x73082)),f318(f180(f899(x73083)),x73082)))
% 182.43/182.07 [7357]P8(x73571,x73572,x73573)+~E(f318(f255(x73571,x73571),x73573),x73572)+~E(f318(f318(f280(x73571,x73571,x73571),f318(f277(x73571,x73571),x73573)),x73573),x73573)
% 182.43/182.07 [7437]~P1(f318(x74371,f2(a898)))+P1(f318(f318(f227(a898),f370(x74373,x74372,x74371)),x74373))+P1(f318(x74371,f318(f318(f30(a898),x74372),x74373)))
% 182.43/182.07 [7447]~P82(x74471)+E(f318(f318(f101(f905(x74471,a894)),f297(x74471,x74472,x74473)),f318(f318(f300(x74471),x74473),f179(f905(x74471,a894)))),f296(x74471,x74472,x74473))+~P1(f318(f318(f227(x74471),x74472),x74473))
% 182.43/182.07 [7539]~P1(f318(f28(x75391),x75393))+P1(f318(f318(f226(a898),f318(f29(x75391),x75392)),f318(f29(x75391),x75393)))+~P1(f318(f318(f226(f905(x75391,a894)),x75392),x75393))
% 182.43/182.07 [7540]~P1(f318(f28(x75401),x75403))+P1(f318(f318(f227(a898),f318(f29(x75401),x75402)),f318(f29(x75401),x75403)))+~P1(f318(f318(f227(f905(x75401,a894)),x75402),x75403))
% 182.43/182.07 [7672]E(x76721,x76722)+~P1(f318(f318(f226(f905(x76723,a894)),x76722),x76721))+~P1(f318(f318(f226(f905(x76723,a894)),x76721),x76722))
% 182.43/182.07 [7675]~P82(x76751)+P13(x76751,x76752)+~P13(x76751,f318(f318(f139(x76751,x76751,f5(x76751)),x76753),x76752))
% 182.43/182.07 [7746]~P1(f318(f318(f227(a898),x77463),x77462))+~P1(f318(f318(f227(a898),x77463),x77461))+P1(f318(f318(f227(a898),f318(f318(f23(a898),x77461),x77462)),f318(f318(f23(a898),x77461),x77463)))
% 182.43/182.07 [7747]~P1(f318(f318(f226(a898),x77472),x77471))+~P1(f318(f318(f227(a898),x77471),x77473))+P1(f318(f318(f227(a898),f318(f318(f23(a898),x77471),x77472)),f318(f318(f23(a898),x77473),x77472)))
% 182.43/182.07 [7762]~P1(f318(f318(f227(a1),x77622),f2(a1)))+~P1(f318(f318(f226(a1),x77623),x77621))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x77621),x77622)),f318(f318(f30(a1),x77623),x77622)))
% 182.43/182.07 [7779]~P1(f318(f318(f227(a898),f2(a898)),x77793))+~P1(f318(f318(f226(a898),x77793),x77792))+P1(f318(f318(f226(a898),f318(f318(f30(a898),x77791),x77792)),f318(f318(f30(a898),x77791),x77793)))
% 182.43/182.07 [7780]~P1(f318(f318(f227(a1),f2(a1)),x77802))+~P1(f318(f318(f226(a1),x77801),x77803))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x77801),x77802)),f318(f318(f30(a1),x77803),x77802)))
% 182.43/182.07 [7784]~P1(f318(f318(f227(a898),f2(a898)),x77842))+~P1(f318(f318(f227(a898),x77841),x77843))+P1(f318(f318(f227(a898),f318(f318(f76(a898),x77841),x77842)),f318(f318(f76(a898),x77843),x77842)))
% 182.43/182.07 [7785]~P1(f318(f318(f227(a898),f2(a898)),x77851))+~P1(f318(f318(f227(a898),x77852),x77853))+P1(f318(f318(f227(a898),f318(f318(f76(a898),x77851),x77852)),f318(f318(f76(a898),x77851),x77853)))
% 182.43/182.07 [7786]~P1(f318(f318(f227(a1),f2(a1)),x77861))+~P1(f318(f318(f227(a1),x77862),x77863))+P1(f318(f318(f227(a1),f318(f318(f76(a1),x77861),x77862)),f318(f318(f76(a1),x77861),x77863)))
% 182.43/182.07 [7835]E(x78351,f2(a898))+E(f318(f318(f75(a898),f318(f318(f76(a898),x78351),f369(x78351,x78352,x78353))),f370(x78351,x78352,x78353)),x78352)+P1(f318(x78353,f318(f318(f30(a898),x78352),x78351)))
% 182.43/182.07 [7895]E(f318(f318(f75(a898),f318(f318(f76(a898),x78951),f369(x78951,x78952,x78953))),f370(x78951,x78952,x78953)),x78952)+~P1(f318(x78953,f2(a898)))+P1(f318(x78953,f318(f318(f30(a898),x78952),x78951)))
% 182.43/182.07 [7913]~P1(f318(f28(x79131),x79133))+P1(f318(f318(f320(x79131),f865(x79132,x79133,x79131)),x79133))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f9(x79131,a898),x79132),x79133)))
% 182.43/182.07 [7914]~P1(f318(f28(x79141),x79143))+P1(f318(f318(f320(x79141),f386(x79142,x79143,x79141)),x79143))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f9(x79141,a898),x79142),x79143)))
% 182.43/182.07 [8014]E(x80141,f2(a898))+P1(f318(f318(f278(a898),x80142),x80143))+~P1(f318(f318(f278(a898),f318(f318(f76(a898),x80141),x80142)),f318(f318(f76(a898),x80141),x80143)))
% 182.43/182.07 [8204]E(x82041,f179(f905(x82042,a894)))+E(x82041,f318(f318(f300(x82042),x82043),f179(f905(x82042,a894))))+~P1(f318(f318(f226(f905(x82042,a894)),x82041),f318(f318(f300(x82042),x82043),f179(f905(x82042,a894)))))
% 182.43/182.07 [8240]~P1(f318(f318(f227(a898),f73(a898)),x82403))+P1(f318(f318(f226(a898),x82401),x82402))+~P1(f318(f318(f278(a898),f318(f318(f235(a898),x82403),x82401)),f318(f318(f235(a898),x82403),x82402)))
% 182.43/182.07 [8242]~P1(f318(f318(f227(a898),f2(a898)),x82423))+P1(f318(f318(f226(a898),x82421),x82422))+~P1(f318(f318(f226(a898),f318(f318(f76(a898),x82423),x82421)),f318(f318(f76(a898),x82423),x82422)))
% 182.43/182.07 [8243]~P1(f318(f318(f227(a898),f2(a898)),x82433))+P1(f318(f318(f226(a898),x82431),x82432))+~P1(f318(f318(f226(a898),f318(f318(f76(a898),x82431),x82433)),f318(f318(f76(a898),x82432),x82433)))
% 182.43/182.07 [8245]~P1(f318(f318(f227(a898),f2(a898)),x82453))+P1(f318(f318(f227(a898),x82451),x82452))+~P1(f318(f318(f227(a898),f318(f318(f235(a898),x82453),x82451)),f318(f318(f235(a898),x82453),x82452)))
% 182.43/182.07 [8247]~P1(f318(f318(f227(a898),f2(a898)),x82473))+P1(f318(f318(f278(a898),x82471),x82472))+~P1(f318(f318(f278(a898),f318(f318(f76(a898),x82473),x82471)),f318(f318(f76(a898),x82473),x82472)))
% 182.43/182.07 [8286]~E(f318(f318(f92(f905(x82861,a894)),f602(x82863,x82862,x82861)),f601(x82863,x82862,x82861)),f179(f905(x82861,a894)))+E(f318(f318(f92(f905(x82861,a894)),x82862),f31(f905(x82861,a894),x82863)),f179(f905(x82861,a894)))+P1(f318(f318(f320(f905(x82861,a894)),x82862),x82863))
% 182.43/182.07 [8300]E(x83001,f104(x83002))+~E(f318(f133(f899(x83002),f899(x83002),f125(x83002),f104(x83002)),x83003),f104(x83002))+~P1(f318(f318(f320(f899(x83002)),x83001),f318(f163(f899(x83002)),x83003)))
% 182.43/182.07 [8356]E(x83561,f179(f905(f905(x83562,a894),a894)))+P1(f318(f318(f320(f905(x83562,a894)),f606(x83563,x83561,x83562)),x83561))+P1(f318(f318(f226(f905(x83562,a894)),f32(f905(x83562,a894),x83561)),x83563))
% 182.43/182.07 [8362]~P74(x83621)+~P75(x83621)+E(f318(f318(f6(a1,x83621),f318(f318(f8(a898,x83621,a1),x83622),a95)),f318(f301(a898,a1,f91(a1)),x83623)),f318(f318(f6(a898,x83621),x83622),x83623))
% 182.43/182.07 [8363]~P74(x83631)+~P75(x83631)+E(f318(f318(f9(a1,x83631),f318(f318(f8(a898,x83631,a1),x83632),a95)),f318(f301(a898,a1,f91(a1)),x83633)),f318(f318(f9(a898,x83631),x83632),x83633))
% 182.43/182.07 [8406]~P1(f318(f28(x84061),x84063))+~P1(f318(f318(f227(a898),f2(a898)),f318(x84062,f865(x84062,x84063,x84061))))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f9(x84061,a898),x84062),x84063)))
% 182.43/182.07 [8407]~P1(f318(f28(x84071),x84073))+~P1(f318(f318(f227(a898),f2(a898)),f318(x84072,f386(x84072,x84073,x84071))))+P1(f318(f318(f227(a898),f2(a898)),f318(f318(f9(x84071,a898),x84072),x84073)))
% 182.43/182.07 [8443]~P61(x84432)+E(x84431,f73(x84432))+E(f318(f318(f282(x84432),f318(f318(f23(x84432),f318(f318(f235(x84432),x84431),x84433)),f73(x84432))),f318(f318(f23(x84432),x84431),f73(x84432))),f318(f318(f6(a898,x84432),f318(f235(x84432),x84431)),f318(f293(a898,f2(a898)),x84433)))
% 182.43/182.07 [8501]E(x85011,f2(a898))+~P1(f318(x85013,f318(f318(f30(a898),x85012),x85011)))+P1(f318(f318(f227(a898),x85012),f318(f318(f76(a898),x85011),f318(a103,f368(x85011,x85012,x85013)))))
% 182.43/182.07 [8520]P1(f318(x85201,f2(a898)))+~P1(f318(x85201,f318(f318(f30(a898),x85202),x85203)))+P1(f318(f318(f227(a898),x85202),f318(f318(f76(a898),x85203),f318(a103,f368(x85203,x85202,x85201)))))
% 182.43/182.07 [8558]E(x85581,f2(a898))+~P1(f318(x85583,f318(f318(f30(a898),x85582),x85581)))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x85581),f368(x85581,x85582,x85583))),x85582))
% 182.43/182.07 [8589]P1(f318(x85891,f2(a898)))+~P1(f318(x85891,f318(f318(f30(a898),x85893),x85892)))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x85892),f368(x85892,x85893,x85891))),x85893))
% 182.43/182.07 [8597]~P82(x85971)+E(f318(f318(f139(x85971,x85971,f5(x85971)),x85972),x85973),f140(x85971,x85971,f5(x85971),x85972,x85973))+P1(f318(f318(f320(x85971),x85972),f318(f163(x85971),x85973)))
% 182.43/182.07 [8632]~E(f318(x86323,f529(x86322,x86323,x86321)),f318(x86323,f531(x86322,x86323,x86321)))+~P58(x86321,f318(x86323,f530(x86322,x86323,x86321)))+P58(x86321,f318(f318(f34(x86322,f905(x86321,f905(x86321,a894))),f233(f905(x86322,a894))),x86323))
% 182.43/182.07 [8641]E(x86411,f179(f905(f905(x86412,a894),a894)))+~P1(f318(f318(f226(f905(x86412,a894)),f606(x86413,x86411,x86412)),x86413))+P1(f318(f318(f226(f905(x86412,a894)),f32(f905(x86412,a894),x86411)),x86413))
% 182.43/182.07 [8701]~P63(x87011)+~P1(f318(f318(f227(x87011),x87012),x87013))+P1(f318(f318(f227(x87011),x87012),f318(f318(f282(x87011),f318(f318(f75(x87011),x87012),x87013)),f318(f318(f75(x87011),f73(x87011)),f73(x87011)))))
% 182.43/182.07 [8759]~P1(f318(f318(x87591,f453(x87591,x87593,x87592)),f456(x87591,x87593,x87592)))+P1(f318(f318(x87591,x87592),x87593))+~P1(f318(f306(f904(a1,a1),a47),f318(f318(f243(a1,a1),x87592),x87593)))
% 182.43/182.07 [8760]~P1(f318(f318(x87601,f458(x87601,x87603,x87602)),f459(x87601,x87603,x87602)))+P1(f318(f318(x87601,x87602),x87603))+~P1(f318(f306(f904(a1,a1),a53),f318(f318(f243(a1,a1),x87602),x87603)))
% 182.43/182.07 [8761]~P1(f318(f318(x87611,f460(x87611,x87613,x87612)),f461(x87611,x87613,x87612)))+P1(f318(f318(x87611,x87612),x87613))+~P1(f318(f306(f904(a1,a1),a212),f318(f318(f243(a1,a1),x87612),x87613)))
% 182.43/182.07 [8762]~P1(f318(f318(x87621,f462(x87621,x87623,x87622)),f463(x87621,x87623,x87622)))+P1(f318(f318(x87621,x87622),x87623))+~P1(f318(f306(f904(a898,a898),a210),f318(f318(f243(a898,a898),x87622),x87623)))
% 182.43/182.07 [8763]~P1(f318(f318(x87631,f655(x87631,x87633,x87632)),f657(x87631,x87633,x87632)))+P1(f318(f318(x87631,x87632),x87633))+~P1(f318(f306(f904(a1,a1),a173),f318(f318(f243(a1,a1),x87632),x87633)))
% 182.43/182.07 [8764]~P1(f318(f318(x87641,f752(x87641,x87643,x87642)),f753(x87641,x87643,x87642)))+P1(f318(f318(x87641,x87642),x87643))+~P1(f318(f306(f904(a1,a1),a124),f318(f318(f243(a1,a1),x87642),x87643)))
% 182.43/182.07 [9039]P1(f318(f318(x90391,x90392),x90393))+P1(f318(f306(f904(a898,a898),a210),f318(f318(f243(a898,a898),f462(x90391,x90393,x90392)),f463(x90391,x90393,x90392))))+~P1(f318(f306(f904(a898,a898),a210),f318(f318(f243(a898,a898),x90392),x90393)))
% 182.43/182.07 [9040]P1(f318(f318(x90401,x90402),x90403))+P1(f318(f306(f904(a1,a1),a212),f318(f318(f243(a1,a1),f460(x90401,x90403,x90402)),f461(x90401,x90403,x90402))))+~P1(f318(f306(f904(a1,a1),a212),f318(f318(f243(a1,a1),x90402),x90403)))
% 182.43/182.07 [9041]P1(f318(f318(x90411,x90412),x90413))+P1(f318(f306(f904(a1,a1),a53),f318(f318(f243(a1,a1),f458(x90411,x90413,x90412)),f459(x90411,x90413,x90412))))+~P1(f318(f306(f904(a1,a1),a53),f318(f318(f243(a1,a1),x90412),x90413)))
% 182.43/182.07 [9042]P1(f318(f318(x90421,x90422),x90423))+P1(f318(f306(f904(a1,a1),a47),f318(f318(f243(a1,a1),f453(x90421,x90423,x90422)),f456(x90421,x90423,x90422))))+~P1(f318(f306(f904(a1,a1),a47),f318(f318(f243(a1,a1),x90422),x90423)))
% 182.43/182.07 [9043]P1(f318(f318(x90431,x90432),x90433))+P1(f318(f306(f904(a1,a1),a173),f318(f318(f243(a1,a1),f655(x90431,x90433,x90432)),f657(x90431,x90433,x90432))))+~P1(f318(f306(f904(a1,a1),a173),f318(f318(f243(a1,a1),x90432),x90433)))
% 182.43/182.07 [9044]P1(f318(f318(x90441,x90442),x90443))+P1(f318(f306(f904(a1,a1),a124),f318(f318(f243(a1,a1),f752(x90441,x90443,x90442)),f753(x90441,x90443,x90442))))+~P1(f318(f306(f904(a1,a1),a124),f318(f318(f243(a1,a1),x90442),x90443)))
% 182.43/182.07 [9382]~P1(f318(f28(x93821),x93823))+P1(f318(f318(f320(f904(f905(x93821,a894),f905(x93821,a894))),f318(f318(f243(f905(x93821,a894),f905(x93821,a894)),x93822),x93823)),f305(x93821)))+~P1(f318(f318(f227(f905(x93821,a894)),x93822),x93823))
% 182.43/182.07 [9457]~P58(x94571,f318(x94573,f530(x94572,x94573,x94571)))+P58(x94571,f318(f318(f34(x94572,f905(x94571,f905(x94571,a894))),f233(f905(x94572,a894))),x94573))+~E(f318(f318(f92(f905(x94571,a894)),f240(x94571,x94571,f318(x94573,f529(x94572,x94573,x94571)))),f241(x94571,x94571,f318(x94573,f531(x94572,x94573,x94571)))),f179(f905(x94571,a894)))
% 182.43/182.07 [9667]P51(x96671,x96672,x96673)+P1(f318(f318(f320(f904(x96671,x96671)),f519(x96673,x96672,x96671)),x96673))+~P1(f318(f318(f320(f904(x96671,x96671)),f318(f318(f243(x96671,x96671),f518(x96673,x96672,x96671)),f518(x96673,x96672,x96671))),x96673))
% 182.43/182.07 [10256]P51(x102561,x102562,x102563)+~P1(f318(f318(f248(x102561,x102561,a894),f318(f318(f7(x102561,f905(x102561,a894),f905(x102561,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x102561,a894),f905(x102561,a894)),x102561),f8(a894,a894,x102561)),f318(f318(f8(a894,f905(a894,a894),x102561),a316),f318(f318(f7(x102561,f905(x102561,a894),a894),f320(x102561)),x102562)))),f318(f318(f7(x102561,f905(x102561,a894),a894),f320(x102561)),x102562))),f519(x102563,x102562,x102561)))+~P1(f318(f318(f320(f904(x102561,x102561)),f318(f318(f243(x102561,x102561),f518(x102563,x102562,x102561)),f518(x102563,x102562,x102561))),x102563))
% 182.43/182.07 [5727]~P3(x57272)+E(x57271,f2(x57272))+E(f318(f318(f30(x57272),f318(f318(f76(x57272),x57273),x57271)),x57271),x57273)
% 182.43/182.07 [5728]~P3(x57282)+E(x57281,f2(x57282))+E(f318(f318(f30(x57282),f318(f318(f76(x57282),x57281),x57283)),x57281),x57283)
% 182.43/182.07 [6391]~P3(x63911)+E(f318(f318(f76(x63911),f318(f318(f30(x63911),x63912),x63913)),x63913),x63912)+~P1(f318(f318(f278(x63911),x63913),x63912))
% 182.43/182.07 [6555]~P74(x65551)+~E(f318(x65552,f2(a898)),f2(x65551))+E(f318(f318(f6(a898,x65551),x65552),f318(f293(a898,f318(a103,f2(a898))),x65553)),f318(f318(f6(a898,x65551),x65552),f318(f293(a898,f2(a898)),x65553)))
% 182.43/182.07 [6693]~P3(x66932)+E(x66931,f2(x66932))+E(f318(f318(f30(x66932),f318(f318(f75(x66932),x66933),x66931)),x66931),f318(f318(f75(x66932),f318(f318(f30(x66932),x66933),x66931)),f73(x66932)))
% 182.43/182.07 [6694]~P3(x66942)+E(x66941,f2(x66942))+E(f318(f318(f30(x66942),f318(f318(f75(x66942),x66941),x66943)),x66941),f318(f318(f75(x66942),f318(f318(f30(x66942),x66943),x66941)),f73(x66942)))
% 182.43/182.07 [6919]~P1(f318(x69193,f2(a1)))+P1(f318(f318(f226(a898),x69191),x69192))+P1(f318(x69193,f318(f91(a1),f318(f318(f23(a898),x69192),x69191))))
% 182.43/182.07 [7025]P1(f318(f318(f227(a898),x70252),x70251))+P1(f318(f318(f226(a898),x70251),x70252))+P1(f318(x70253,f318(f91(a1),f318(f318(f23(a898),x70252),x70251))))
% 182.43/182.07 [7099]E(f318(f318(f75(a898),f318(f94(a898),x70991)),f318(f318(f75(a898),f318(f94(a898),x70992)),x70993)),f318(f318(f75(a898),f318(f94(a898),x70991)),x70993))+P1(f318(a184,f318(f94(a1),x70991)))+~P1(f318(a184,f318(f94(a1),x70992)))
% 182.43/182.07 [7178]~E(x71782,f318(f318(f30(a898),x71783),x71781))+~P1(f318(f318(f227(a898),f2(a898)),x71781))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x71781),x71782)),x71783))
% 182.43/182.07 [7295]~P1(f318(f28(x72951),x72953))+~P1(f318(f28(x72951),x72952))+P1(f318(f28(x72951),f318(f318(f101(f905(x72951,a894)),x72952),x72953)))
% 182.43/182.07 [7342]~P37(x73421,x73423)+~P37(x73421,x73422)+P37(x73421,f318(f318(f92(f905(f904(x73421,x73421),a894)),x73422),x73423))
% 182.43/182.07 [7343]~P50(x73431,x73433)+~P50(x73431,x73432)+P50(x73431,f318(f318(f92(f905(f904(x73431,x73431),a894)),x73432),x73433))
% 182.43/182.07 [7344]~P50(x73441,x73443)+~P50(x73441,x73442)+P50(x73441,f318(f318(f101(f905(f904(x73441,x73441),a894)),x73442),x73443))
% 182.43/182.07 [7587]~P82(x75871)+~P1(f318(f28(x75871),x75872))+E(f130(x75871,f318(f318(f23(f905(x75871,a894)),x75872),f318(f318(f300(x75871),x75873),f179(f905(x75871,a894))))),f161(x75871,x75873,f130(x75871,x75872)))
% 182.43/182.07 [7651]P1(f318(x76511,f2(a1)))+~P1(f318(f318(f227(a898),x76512),x76513))+~P1(f318(x76511,f318(f91(a1),f318(f318(f23(a898),x76512),x76513))))
% 182.43/182.07 [7669]~P1(f318(f28(x76691),x76692))+E(f318(f29(x76691),f318(f318(f23(f905(x76691,a894)),x76692),f318(f318(f300(x76691),x76693),f179(f905(x76691,a894))))),f318(f29(x76691),x76692))+P1(f318(f318(f320(x76691),x76693),x76692))
% 182.43/182.07 [7802]~P109(x78021)+~P1(f318(f318(f227(x78021),f73(x78021)),x78022))+P1(f318(f318(f227(x78021),f73(x78021)),f318(f318(f76(x78021),x78022),f318(f318(f235(x78021),x78022),x78023))))
% 182.43/182.07 [7845]~P1(f318(f28(x78451),x78453))+E(f318(f318(f23(a898),f318(f29(x78451),x78452)),f318(f29(x78451),x78453)),f318(f29(x78451),f318(f318(f23(f905(x78451,a894)),x78452),x78453)))+~P1(f318(f318(f226(f905(x78451,a894)),x78453),x78452))
% 182.43/182.07 [7903]~P1(f318(f318(f226(a898),x79032),x79033))+~P1(f318(f318(f226(a898),x79031),f318(f318(f23(a898),x79033),x79032)))+P1(f318(f318(f226(a898),f318(f318(f75(a898),x79031),x79032)),x79033))
% 182.43/182.07 [7957]P1(f318(f28(x79571),x79572))+~P1(f318(f28(x79571),x79573))+~P1(f318(f28(x79571),f318(f318(f23(f905(x79571,a894)),x79572),x79573)))
% 182.43/182.07 [7963]~P1(f318(f28(x79631),x79632))+E(f318(f29(x79631),f318(f318(f23(f905(x79631,a894)),x79632),f318(f318(f300(x79631),x79633),f179(f905(x79631,a894))))),f318(f318(f23(a898),f318(f29(x79631),x79632)),f73(a898)))+~P1(f318(f318(f320(x79631),x79633),x79632))
% 182.43/182.07 [8039]P58(x80391,x80392)+~P58(x80391,x80393)+~P1(f318(f318(f226(f905(x80391,f905(x80391,a894))),x80392),x80393))
% 182.43/182.07 [8079]~P1(f318(f318(f226(a898),x80793),x80792))+P1(f318(f318(f226(a898),x80791),f318(f318(f23(a898),x80792),x80793)))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),x80791),x80793)),x80792))
% 182.43/182.07 [8097]P36(x80971,x80972)+~P36(x80971,x80973)+~P1(f318(f318(f226(f905(f904(x80971,x80971),a894)),x80972),x80973))
% 182.43/182.07 [8098]P56(x80981,x80982)+~P56(x80981,x80983)+~P1(f318(f318(f226(f905(f904(x80981,x80981),a894)),x80982),x80983))
% 182.43/182.07 [8099]P38(x80991,x80992)+~P38(x80991,x80993)+~P1(f318(f318(f226(f905(f904(x80991,x80991),a894)),x80992),x80993))
% 182.43/182.07 [8333]~P109(x83331)+~P1(f318(f318(f227(x83331),f73(x83331)),x83332))+P1(f318(f318(f227(x83331),f318(f318(f235(x83331),x83332),x83333)),f318(f318(f76(x83331),x83332),f318(f318(f235(x83331),x83332),x83333))))
% 182.43/182.07 [8425]~P1(f318(x84251,f2(a1)))+~P1(f318(x84251,f318(f318(f23(a1),f318(f91(a1),x84252)),f318(f91(a1),x84253))))+P1(f318(x84251,f318(f91(a1),f318(f318(f23(a898),x84252),x84253))))
% 182.43/182.07 [8440]~P1(f318(f318(f226(a898),x84403),x84402))+P1(f318(x84401,f318(f318(f23(a1),f318(f91(a1),x84402)),f318(f91(a1),x84403))))+~P1(f318(x84401,f318(f91(a1),f318(f318(f23(a898),x84402),x84403))))
% 182.43/182.07 [8460]P1(f318(f318(f227(a898),x84601),x84602))+~P1(f318(x84603,f318(f318(f23(a1),f318(f91(a1),x84601)),f318(f91(a1),x84602))))+P1(f318(x84603,f318(f91(a1),f318(f318(f23(a898),x84601),x84602))))
% 182.43/182.07 [8513]~P124(x85132)+E(x85131,f2(x85132))+P1(f318(f318(f227(x85132),f2(x85132)),f318(f318(f75(x85132),f318(f318(f76(x85132),x85133),x85133)),f318(f318(f76(x85132),x85131),x85131))))
% 182.43/182.07 [8514]~P124(x85142)+E(x85141,f2(x85142))+P1(f318(f318(f227(x85142),f2(x85142)),f318(f318(f75(x85142),f318(f318(f76(x85142),x85141),x85141)),f318(f318(f76(x85142),x85143),x85143))))
% 182.43/182.07 [8614]~P1(f318(f318(f227(a898),f2(a898)),x86141))+~P1(f318(f318(f227(a1),x86142),x86143))+P1(f318(f318(f227(a1),f318(f318(f76(a1),f318(f91(a1),x86141)),x86142)),f318(f318(f76(a1),f318(f91(a1),x86141)),x86143)))
% 182.43/182.07 [8670]E(f318(f318(f92(f905(x86701,a894)),x86702),f31(f905(x86701,a894),x86703)),f179(f905(x86701,a894)))+P1(f318(f318(f320(f905(x86701,a894)),x86702),x86703))+P1(f318(f318(f320(f905(x86701,a894)),f602(x86703,x86702,x86701)),f318(f318(f300(f905(x86701,a894)),x86702),x86703)))
% 182.43/182.07 [8671]E(f318(f318(f92(f905(x86711,a894)),x86712),f31(f905(x86711,a894),x86713)),f179(f905(x86711,a894)))+P1(f318(f318(f320(f905(x86711,a894)),x86712),x86713))+P1(f318(f318(f320(f905(x86711,a894)),f601(x86713,x86712,x86711)),f318(f318(f300(f905(x86711,a894)),x86712),x86713)))
% 182.43/182.07 [8700]E(x87001,x87002)+~E(f318(f180(f899(x87003)),x87001),f318(f180(f899(x87003)),x87002))+P1(f318(f318(f320(f904(x87003,x87003)),f642(x87003,x87001,x87002)),f318(f163(f904(x87003,x87003)),f318(f318(f172(x87003,x87003),x87002),x87001))))
% 182.43/182.07 [8950]E(f298(x89501,x89502),f298(x89501,x89503))+~P1(f318(f318(f226(f905(f904(x89501,x89501),a894)),x89503),f298(x89501,x89502)))+~P1(f318(f318(f226(f905(f904(x89501,x89501),a894)),x89502),x89503))
% 182.43/182.07 [9017]~P51(x90171,f233(f905(x90171,a894)),x90173)+P1(f318(f318(f226(f905(f904(f899(x90171),f899(x90171)),a894)),f148(x90171,x90172)),f149(x90171,x90173)))+~P1(f318(f318(f226(f905(f904(x90171,x90171),a894)),x90172),x90173))
% 182.43/182.07 [9217]P36(x92171,x92172)+~P1(f318(f318(f320(x92171),x92173),f563(x92172,x92171)))+P1(f318(f318(f320(f904(x92171,x92171)),f318(f318(f243(x92171,x92171),f617(x92172,x92171,x92173)),x92173)),x92172))
% 182.43/182.07 [9252]~P1(f318(f28(x92521),x92522))+P1(f318(f28(f905(x92521,a894)),f318(f318(f55(x92521),x92522),x92523)))+~P1(f318(f318(f226(f905(f904(x92521,x92521),a894)),x92523),f318(f318(f245(x92521,x92521),x92522),f318(f16(f905(x92521,a894),x92521),x92522))))
% 182.43/182.07 [9288]P51(x92881,x92882,x92883)+P1(f318(f318(f320(x92881),f511(x92883,x92882,x92881)),x92882))+~P1(f318(f318(f226(f905(f904(x92881,x92881),a894)),x92883),f318(f318(f245(x92881,x92881),x92882),f318(f16(f905(x92881,a894),x92881),x92882))))
% 182.43/182.07 [9289]P51(x92891,x92892,x92893)+P1(f318(f318(f320(x92891),f516(x92892,x92893,x92891)),x92892))+~P1(f318(f318(f226(f905(f904(x92891,x92891),a894)),x92893),f318(f318(f245(x92891,x92891),x92892),f318(f16(f905(x92891,a894),x92891),x92892))))
% 182.43/182.07 [9324]~P63(x93241)+~P1(f318(f318(f227(x93241),x93242),x93243))+P1(f318(f318(f227(x93241),f318(f318(f282(x93241),f318(f318(f75(x93241),x93242),x93243)),f318(f318(f75(x93241),f73(x93241)),f73(x93241)))),x93243))
% 182.43/182.07 [9355]~P62(x93551)+P1(f318(f318(f226(x93551),x93552),x93553))+~P1(f318(f318(f226(x93551),f318(f318(f76(x93551),f376(x93553,x93552,x93551)),x93552)),x93553))
% 182.43/182.07 [9492]E(f318(f180(f899(f899(x94921))),f318(f127(f899(x94921),f318(f318(f8(a898,a894,f899(x94921)),f318(f227(a898),x94922)),f180(f899(x94921)))),f170(x94921,x94923))),f318(f180(f899(x94921)),f318(f318(f155(f899(x94921)),x94923),x94922)))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x94921),a898),f180(f899(x94921))),x94923)))+~P1(f318(f318(f227(a898),x94922),f318(f180(f899(f899(x94921))),x94923)))
% 182.43/182.07 [9615]~P36(x96151,x96152)+P26(x96151,f318(f318(f243(f905(f904(x96151,x96151),a894),f905(f904(x96151,x96151),a894)),x96152),x96153))+~P1(f318(f318(f226(f905(f904(x96151,x96151),a894)),f318(f318(f280(x96151,x96151,x96151),x96152),x96153)),x96152))
% 182.43/182.07 [9620]E(f318(f318(f145(f899(x96201),x96201),f318(f318(f7(f899(x96201),a898,x96201),f155(x96201)),x96202)),f318(f127(f899(x96201),f318(f318(f8(a898,a894,f899(x96201)),f318(f227(a898),x96202)),f180(f899(x96201)))),f170(x96201,x96203))),f318(f318(f155(f899(x96201)),x96203),x96202))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x96201),a898),f180(f899(x96201))),x96203)))+~P1(f318(f318(f227(a898),x96202),f318(f180(f899(f899(x96201))),x96203)))
% 182.43/182.07 [9755]P51(x97551,x97552,x97553)+~P1(f318(f318(f320(f904(x97551,x97551)),f318(f318(f243(x97551,x97551),f511(x97553,x97552,x97551)),f511(x97553,x97552,x97551))),x97553))+~P1(f318(f318(f226(f905(f904(x97551,x97551),a894)),x97553),f318(f318(f245(x97551,x97551),x97552),f318(f16(f905(x97551,a894),x97551),x97552))))
% 182.43/182.07 [9756]P51(x97561,x97562,x97563)+~P1(f318(f318(f320(f904(x97561,x97561)),f318(f318(f243(x97561,x97561),f516(x97562,x97563,x97561)),f516(x97562,x97563,x97561))),x97563))+~P1(f318(f318(f226(f905(f904(x97561,x97561),a894)),x97563),f318(f318(f245(x97561,x97561),x97562),f318(f16(f905(x97561,a894),x97561),x97562))))
% 182.43/182.07 [9924]~P127(x99241)+~P123(x99241)+E(f318(f318(f282(x99241),f318(f93(x99241),f318(f318(f67(f904(a1,a1),a1,x99242,f242(a1,a1)),f203(x99242)),x99243))),f318(f93(x99241),f318(f318(f67(f904(a1,a1),a1,x99242,f247(a1,a1)),f203(x99242)),x99243))),f213(x99242,x99241,x99243))
% 182.43/182.07 [10127]~E(x101273,f2(a898))+~E(f318(f180(f899(x101271)),f318(f318(f155(f899(x101271)),x101272),f691(x101273,x101271,x101272))),x101273)+E(f318(f318(f145(a898,f899(x101271)),f318(f318(f7(a898,f899(a898),f899(x101271)),f318(f318(f8(f905(a898,x101271),f905(f899(a898),f899(x101271)),a898),f145(a898,x101271)),f318(f7(a898,a898,x101271),f318(f318(f8(f899(x101271),f905(a898,x101271),a898),f155(x101271)),f318(f155(f899(x101271)),x101272))))),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(f899(x101271))),x101272))))),f130(a898,f318(f293(a898,f2(a898)),x101273))),f170(x101271,x101272))
% 182.43/182.07 [10128]E(x101281,f104(f899(x101282)))+~E(f318(f180(f899(x101282)),f318(f318(f155(f899(x101282)),x101281),f691(x101283,x101282,x101281))),x101283)+E(f318(f318(f145(a898,f899(x101282)),f318(f318(f7(a898,f899(a898),f899(x101282)),f318(f318(f8(f905(a898,x101282),f905(f899(a898),f899(x101282)),a898),f145(a898,x101282)),f318(f7(a898,a898,x101282),f318(f318(f8(f899(x101282),f905(a898,x101282),a898),f155(x101282)),f318(f155(f899(x101282)),x101281))))),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(f899(x101282))),x101281))))),f130(a898,f318(f293(a898,f2(a898)),x101283))),f170(x101282,x101281))
% 182.43/182.07 [10129]~E(x101293,f2(a898))+E(f318(f318(f145(a898,f899(x101291)),f318(f318(f7(a898,f899(a898),f899(x101291)),f318(f318(f8(f905(a898,x101291),f905(f899(a898),f899(x101291)),a898),f145(a898,x101291)),f318(f7(a898,a898,x101291),f318(f318(f8(f899(x101291),f905(a898,x101291),a898),f155(x101291)),f318(f155(f899(x101291)),x101292))))),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(f899(x101291))),x101292))))),f130(a898,f318(f293(a898,f2(a898)),x101293))),f170(x101291,x101292))+P1(f318(f318(f227(a898),f691(x101293,x101291,x101292)),f318(f180(f899(f899(x101291))),x101292)))
% 182.43/182.07 [10130]E(x101301,f104(f899(x101302)))+E(f318(f318(f145(a898,f899(x101302)),f318(f318(f7(a898,f899(a898),f899(x101302)),f318(f318(f8(f905(a898,x101302),f905(f899(a898),f899(x101302)),a898),f145(a898,x101302)),f318(f7(a898,a898,x101302),f318(f318(f8(f899(x101302),f905(a898,x101302),a898),f155(x101302)),f318(f155(f899(x101302)),x101301))))),f130(a898,f318(f293(a898,f2(a898)),f318(f180(f899(f899(x101302))),x101301))))),f130(a898,f318(f293(a898,f2(a898)),x101303))),f170(x101302,x101301))+P1(f318(f318(f227(a898),f691(x101303,x101302,x101301)),f318(f180(f899(f899(x101302))),x101301)))
% 182.43/182.07 [7842]E(f318(f318(f75(a898),f318(f94(a898),x78421)),f318(f318(f75(a898),f318(f94(a898),x78422)),x78423)),f318(f318(f75(a898),f318(f94(a898),f318(f318(f75(a1),x78421),x78422))),x78423))+P1(f318(a184,f318(f94(a1),x78421)))+P1(f318(a184,f318(f94(a1),x78422)))
% 182.43/182.07 [8606]~P1(f318(f28(x86061),x86062))+~P1(f318(f318(f320(x86061),x86063),x86062))+E(f318(a103,f318(f29(x86061),f318(f318(f23(f905(x86061,a894)),x86062),f318(f318(f300(x86061),x86063),f179(f905(x86061,a894)))))),f318(f29(x86061),x86062))
% 182.43/182.07 [8622]~P1(f318(f28(x86221),x86222))+~P1(f318(f318(f320(x86221),x86223),x86222))+E(f318(f318(f75(a898),f73(a898)),f318(f29(x86221),f318(f318(f23(f905(x86221,a894)),x86222),f318(f318(f300(x86221),x86223),f179(f905(x86221,a894)))))),f318(f29(x86221),x86222))
% 182.43/182.07 [8709]~P82(x87091)+~P1(f318(f28(x87091),x87093))+E(f318(f318(f139(x87091,x87091,f5(x87091)),x87092),f130(x87091,f318(f318(f23(f905(x87091,a894)),x87093),f318(f318(f300(x87091),x87092),f179(f905(x87091,a894)))))),f130(x87091,f318(f318(f300(x87091),x87092),x87093)))
% 182.43/182.07 [8875]~P1(f318(f28(x88751),x88753))+~P1(f318(f28(x88751),x88752))+E(f318(f318(f75(a898),f318(f29(x88751),f318(f318(f101(f905(x88751,a894)),x88752),x88753))),f318(f29(x88751),f318(f318(f92(f905(x88751,a894)),x88752),x88753))),f318(f318(f75(a898),f318(f29(x88751),x88752)),f318(f29(x88751),x88753)))
% 182.43/182.07 [10076]~P24(x100761,f905(f905(x100761,a894),a894),f318(f318(f7(x100761,f905(f904(x100761,x100761),a894),f905(f905(x100761,a894),a894)),f318(f318(f8(f905(x100761,a894),f905(f905(f904(x100761,x100761),a894),f905(f905(x100761,a894),a894)),x100761),f55(x100761)),f318(f318(f7(x100761,f905(x100761,a894),f905(x100761,a894)),f300(x100761)),f179(f905(x100761,a894))))),x100763),x100762)+~P1(f318(f28(x100761),x100762))+E(f318(f29(f905(x100761,a894)),f318(f318(f55(x100761),x100762),x100763)),f318(f29(x100761),x100762))
% 182.43/182.07 [8111]~P95(x81111)+P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x81113)))+E(f318(f318(f235(x81111),x81112),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x81113),x81113)),a88))),f73(x81111))
% 182.43/182.07 [9597]~P95(x95971)+~P1(f318(f318(f226(a1),f2(a1)),f318(f94(a1),x95973)))+E(f318(f318(f235(x95971),x95972),f318(f94(a898),f318(f318(f23(a1),f318(f318(f75(a1),x95973),x95973)),a88))),f318(f318(f81(x95971,x95971),f318(f318(f235(x95971),x95972),f318(f94(a898),x95973))),f318(f318(f18(x95971,x95971,x95971),f318(f318(f8(x95971,f905(x95971,x95971),x95971),f76(x95971)),f318(f76(x95971),x95972))),f5(x95971))))
% 182.43/182.07 [9986]~P1(f318(f128(x99861),x99863))+~P1(f318(f318(f320(x99861),x99862),f318(f163(x99861),x99863)))+E(f318(f318(f129(x99861),f318(f180(f899(x99861)),f168(x99861,f318(f318(f8(a894,a894,x99861),a313),f318(f318(f7(x99861,x99861,a894),a315),x99862)),f318(f159(x99861),x99863)))),f318(f159(x99861),x99863)),f318(f318(f142(x99861),x99862),f318(f159(x99861),f168(x99861,f318(f318(f8(a894,a894,x99861),a313),f318(f318(f7(x99861,x99861,a894),a315),x99862)),x99863))))
% 182.43/182.07 [10046]P1(f318(f318(f226(f905(f904(x100461,x100461),a894)),f298(x100461,x100462)),x100463))+~P1(f318(f318(f226(f905(f904(x100461,x100461),a894)),f298(x100461,f179(f905(f904(x100461,x100461),a894)))),x100463))+~P1(f318(f318(f226(f905(f904(x100461,x100461),a894)),f318(f318(f280(x100461,x100461,x100461),f318(f318(f92(f905(f904(x100461,x100461),a894)),f298(x100461,x100462)),x100463)),x100462)),x100463))
% 182.43/182.07 [9904]~P1(f318(f28(x99041),f318(f253(x99041),x99043)))+~P1(f318(f28(x99041),f318(f253(x99041),x99042)))+P1(f318(f28(x99041),f318(f253(x99041),f318(f318(f18(x99041,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99041),a317),x99042)),x99043))))
% 182.43/182.07 [10191]P1(f318(f318(f226(f905(f904(x101911,x101911),a894)),f318(f318(f280(x101911,x101911,x101911),x101912),f298(x101911,x101912))),x101913))+~P1(f318(f318(f226(f905(f904(x101911,x101911),a894)),x101912),x101913))+~P1(f318(f318(f226(f905(f904(x101911,x101911),a894)),f318(f318(f280(x101911,x101911,x101911),f318(f318(f92(f905(f904(x101911,x101911),a894)),f318(f318(f280(x101911,x101911,x101911),x101912),f298(x101911,x101912))),x101913)),x101912)),x101913))
% 182.43/182.07 [10143]~P110(x101432)+E(x101431,f2(x101432))+~E(f318(f318(f75(x101432),f318(f318(f235(x101432),x101433),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x101432),x101431),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f2(x101432))
% 182.43/182.07 [10144]~P110(x101442)+E(x101441,f2(x101442))+~E(f318(f318(f75(x101442),f318(f318(f235(x101442),x101441),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x101442),x101443),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f2(x101442))
% 182.43/182.07 [10149]~P1(f318(f128(x101491),x101493))+~P1(f318(f318(f320(x101491),x101492),f318(f163(x101491),x101493)))+E(f318(f159(x101491),f318(f162(x101491),f318(f318(f129(x101491),f318(f180(f899(x101491)),f168(x101491,f318(f318(f8(a894,a894,x101491),a313),f318(f318(f7(x101491,x101491,a894),a315),x101492)),x101493))),x101493))),f168(x101491,f318(f318(f8(a894,a894,x101491),a313),f318(f318(f7(x101491,x101491,a894),a315),x101492)),f318(f159(x101491),x101493)))
% 182.43/182.07 [10236]~P110(x102362)+E(x102361,f2(x102362))+P1(f318(f318(f227(x102362),f2(x102362)),f318(f318(f75(x102362),f318(f318(f235(x102362),x102363),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102362),x102361),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))))
% 182.43/182.07 [10237]~P110(x102372)+E(x102371,f2(x102372))+P1(f318(f318(f227(x102372),f2(x102372)),f318(f318(f75(x102372),f318(f318(f235(x102372),x102371),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102372),x102373),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))))
% 182.43/182.07 [10298]~P110(x102981)+P1(f318(f318(f226(x102981),f2(x102981)),x102982))+~P1(f318(f318(f226(x102981),f2(x102981)),f318(f318(f235(x102981),x102982),f318(a103,f318(f318(f76(a898),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),x102983)))))
% 182.43/182.07 [5026]~E(x50262,f85(x50263,x50261))+P1(f318(x50261,x50262))+~P1(f318(x50261,x50264))
% 182.43/182.07 [5272]E(f62(x52723,x52722,x52724),x52722)+E(x52721,f718(x52722,x52723,x52724))+~P1(f318(x52724,x52721))
% 182.43/182.07 [6615]E(f62(x66151,x66152,x66153),f80(x66151,x66153))+~E(f755(x66152,x66151,x66153,x66154),x66154)+~P1(f318(x66153,x66154))
% 182.43/182.07 [6829]~P36(x68292,x68294)+~P36(x68291,x68293)+P36(f904(x68291,x68292),f310(x68291,x68292,x68293,x68294))
% 182.43/182.07 [6830]~P37(x68302,x68304)+~P37(x68301,x68303)+P37(f904(x68301,x68302),f310(x68301,x68302,x68303,x68304))
% 182.43/182.07 [5212]~P7(x52124,x52121)+~E(f318(x52121,x52122),f318(x52121,x52123))+P1(f318(f318(x52121,x52122),x52123))
% 182.43/182.07 [5371]~P7(x53714,x53711)+E(f318(x53711,x53712),f318(x53711,x53713))+~P1(f318(f318(x53711,x53712),x53713))
% 182.43/182.07 [5372]~P15(x53724,x53721)+E(f318(x53721,x53722),f318(x53721,x53723))+~P1(f318(f318(x53721,x53722),x53723))
% 182.43/182.07 [5466]~P18(x54663,x54664,x54661)+E(f318(x54661,x54662),f318(f57(x54663,x54664),x54662))+~P1(f318(f28(x54663),x54662))
% 182.43/182.07 [5467]~P9(x54673,x54674,x54671)+E(f318(x54671,x54672),f318(f57(x54673,x54674),x54672))+~P1(f318(f28(x54673),x54672))
% 182.43/182.07 [5594]~P7(x55944,x55941)+~P1(f318(f318(x55941,x55943),x55942))+P1(f318(f318(x55941,x55942),x55943))
% 182.43/182.07 [5595]~P49(x55954,x55951)+~P1(f318(f318(x55951,x55953),x55952))+P1(f318(f318(x55951,x55952),x55953))
% 182.43/182.07 [5596]~P15(x55964,x55961)+~P1(f318(f318(x55961,x55963),x55962))+P1(f318(f318(x55961,x55962),x55963))
% 182.43/182.07 [5597]~P15(x55973,x55971)+P1(f318(f318(x55971,x55972),x55972))+~P1(f318(f318(x55971,x55974),x55972))
% 182.43/182.07 [5598]~P15(x55983,x55981)+P1(f318(f318(x55981,x55982),x55982))+~P1(f318(f318(x55981,x55982),x55984))
% 182.43/182.07 [5668]E(x56681,x56682)+~E(f318(f242(x56683,x56684),x56681),f318(f242(x56683,x56684),x56682))+~E(f318(f247(x56683,x56684),x56681),f318(f247(x56683,x56684),x56682))
% 182.43/182.07 [5696]E(x56961,x56962)+~P1(f318(f43(x56963,x56964),x56962))+~P1(f318(f43(x56963,x56964),x56961))
% 182.43/182.07 [5896]~P74(x58962)+E(f222(x58961,x58962,x58963,x58964),f2(x58962))+P1(f318(f28(x58961),x58964))
% 182.43/182.07 [5944]~P7(x59443,x59442)+~P1(f318(x59441,x59444))+P1(f318(x59441,f803(x59441,x59442,x59443)))
% 182.43/182.07 [6042]~P1(f318(f306(x60421,x60422),x60424))+P1(f318(f306(x60421,x60422),x60423))+~P1(f318(f318(x60422,x60423),x60424))
% 182.43/182.07 [6866]~P28(x68661,x68663,x68664)+P1(f318(x68661,x68662))+~P1(f318(f318(f320(a1),x68662),f294(a1,x68663,x68664)))
% 182.43/182.07 [7061]~P7(x70611,x70613)+~P1(f318(x70612,x70614))+P1(f318(f318(f320(x70611),f803(x70612,x70613,x70611)),f261(x70611,x70613)))
% 182.43/182.07 [7952]E(x79521,f2(a898))+~P1(f318(x79522,x79523))+P1(f318(x79522,f750(x79522,x79523,x79521,x79524)))
% 182.43/182.07 [8034]~P82(x80342)+~P1(f318(f128(x80341),x80344))+P1(f318(f128(x80341),f141(x80341,x80342,x80343,x80344)))
% 182.43/182.07 [8078]E(f62(x80781,x80782,x80783),f80(x80781,x80783))+~P1(f318(x80783,x80784))+P1(f318(x80783,f755(x80782,x80781,x80783,x80784)))
% 182.43/182.07 [8260]~P1(f318(f28(x82602),x82604))+~P1(f318(f28(x82601),x82603))+P1(f318(f28(f903(x82601,x82602)),f304(x82601,x82602,x82603,x82604)))
% 182.43/182.07 [8261]~P1(f318(f128(x82612),x82614))+~P1(f318(f128(x82611),x82613))+P1(f318(f128(f904(x82611,x82612)),f54(x82611,x82612,x82613,x82614)))
% 182.43/182.07 [8264]P1(f318(f318(f320(f899(x82641)),f318(f318(f125(x82641),x82642),x82643)),f152(x82641,x82644)))+~P1(f318(f318(f320(f899(x82641)),x82643),f152(x82641,x82644)))+~P1(f318(f318(f320(f899(x82641)),x82642),f152(x82641,x82644)))
% 182.43/182.07 [8544]E(x85441,f2(a898))+P1(f318(x85442,x85443))+~P1(f318(x85442,f751(x85442,x85443,x85441,x85444)))
% 182.43/182.07 [8581]~P82(x85813)+~P1(f318(f128(x85811),f141(x85811,x85813,x85814,x85812)))+P1(f318(f128(x85811),x85812))
% 182.43/182.07 [8864]~P1(f318(f318(f320(f904(x88641,x88641)),f318(f318(f243(x88641,x88641),x88642),x88644)),f298(x88641,x88643)))+P1(f318(f318(f320(x88641),x88642),f307(x88641,x88643)))+~P1(f318(f318(f320(x88641),x88644),f307(x88641,x88643)))
% 182.43/182.07 [5196]~P74(x51962)+E(f318(f318(f6(x51961,x51962),x51963),x51964),f2(x51962))+P1(f318(f28(x51961),x51964))
% 182.43/182.07 [5199]~P75(x51992)+E(f318(f318(f9(x51991,x51992),x51993),x51994),f73(x51992))+P1(f318(f28(x51991),x51994))
% 182.43/182.07 [5334]~P69(x53343)+E(x53341,x53342)+~E(f318(f318(f75(x53343),x53344),x53341),f318(f318(f75(x53343),x53344),x53342))
% 182.43/182.07 [5335]~P70(x53353)+E(x53351,x53352)+~E(f318(f318(f75(x53353),x53354),x53351),f318(f318(f75(x53353),x53354),x53352))
% 182.43/182.07 [5337]~P69(x53373)+E(x53371,x53372)+~E(f318(f318(f75(x53373),x53371),x53374),f318(f318(f75(x53373),x53372),x53374))
% 182.43/182.07 [5433]~P120(x54331)+~E(x54333,f318(f318(f76(x54331),x54332),x54334))+P1(f318(f318(f278(x54331),x54332),x54333))
% 182.43/182.07 [5461]~P5(x54613)+E(x54611,f179(f905(x54612,a894)))+E(f318(f318(f34(x54612,x54613),x54611),f318(f16(x54613,x54612),x54614)),x54614)
% 182.43/182.07 [5462]~P5(x54623)+E(x54621,f179(f905(x54622,a894)))+E(f318(f318(f35(x54622,x54623),x54621),f318(f16(x54623,x54622),x54624)),x54624)
% 182.43/182.07 [5682]~P108(x56823)+E(x56821,x56822)+~E(f294(x56823,x56824,x56821),f318(f318(f300(x56823),x56822),f179(f905(x56823,a894))))
% 182.43/182.07 [5683]~P108(x56833)+E(x56831,x56832)+~E(f294(x56833,x56831,x56832),f318(f318(f300(x56833),x56834),f179(f905(x56833,a894))))
% 182.43/182.07 [5743]~P34(x57433,x57431,x57434)+P34(x57433,x57431,f318(f318(f142(x57433),x57432),x57434))+P1(f318(x57431,x57432))
% 182.43/182.07 [5845]~P30(x58451,x58452,x58454)+~P1(f318(x58452,x58453))+P30(x58451,x58452,f318(f318(f142(x58451),x58453),x58454))
% 182.43/182.07 [5997]P1(f318(x59971,x59972))+~P1(f318(f239(x59973,x59971),x59974))+~P1(f318(f318(f320(x59973),x59972),x59974))
% 182.43/182.07 [6006]~P30(x60061,x60062,x60064)+~P30(x60061,x60062,x60063)+P30(x60061,x60062,f318(f318(f125(x60061),x60063),x60064))
% 182.43/182.07 [6021]P32(x60211,x60212,x60213)+~P32(x60211,x60212,f318(f318(f142(x60211),x60214),x60213))+P1(f318(x60212,x60214))
% 182.43/182.07 [6022]P34(x60221,x60222,x60223)+~P34(x60221,x60222,f318(f318(f142(x60221),x60224),x60223))+P1(f318(x60222,x60224))
% 182.43/182.07 [6097]P32(x60971,x60972,x60973)+P32(x60971,x60972,x60974)+~P32(x60971,x60972,f318(f318(f125(x60971),x60974),x60973))
% 182.43/182.07 [6118]~P74(x61181)+E(f318(f318(f6(a898,x61181),x61182),f318(f293(a898,x61183),f318(a103,x61184))),f2(x61181))+~P1(f318(f318(f227(a898),x61184),x61183))
% 182.43/182.07 [6123]~P4(x61231)+~E(f40(x61231,x61232,x61233),f40(x61231,x61234,x61233))+E(f40(x61231,f318(f74(x61231),x61232),x61233),f40(x61231,f318(f74(x61231),x61234),x61233))
% 182.43/182.07 [6191]P1(f318(x61911,x61912))+~E(f318(f127(x61913,x61911),x61914),x61914)+~P1(f318(f318(f320(x61913),x61912),f318(f163(x61913),x61914)))
% 182.43/182.07 [6211]~E(f318(f318(f75(a898),x62113),x62112),f318(f318(f75(a898),x62111),x62114))+~P1(f318(f318(f227(a898),x62113),x62114))+P1(f318(f318(f227(a898),x62111),x62112))
% 182.43/182.07 [6217]P32(x62171,x62172,x62173)+~P1(f318(x62172,x62174))+~P1(f318(f318(f320(x62171),x62174),f318(f163(x62171),x62173)))
% 182.43/182.07 [6220]~P3(x62201)+E(f40(x62201,f40(x62201,x62202,x62203),x62204),f40(x62201,x62202,x62204))+~P1(f318(f318(f278(x62201),x62204),x62203))
% 182.43/182.07 [6260]~P30(x62603,x62601,x62604)+P1(f318(x62601,x62602))+~P1(f318(f318(f320(x62603),x62602),f318(f163(x62603),x62604)))
% 182.43/182.07 [6262]~E(f318(f127(x62621,x62622),x62623),f104(x62621))+~P1(f318(x62622,x62624))+~P1(f318(f318(f320(x62621),x62624),f318(f163(x62621),x62623)))
% 182.43/182.07 [6263]~E(f168(x62633,x62631,x62634),x62634)+P1(f318(x62631,x62632))+~P1(f318(f318(f320(x62633),x62632),f318(f163(x62633),x62634)))
% 182.43/182.07 [6290]~E(x62904,f179(f905(x62902,a894)))+~E(x62903,f179(f905(x62901,a894)))+E(f304(x62901,x62902,x62903,x62904),f179(f905(f903(x62901,x62902),a894)))
% 182.43/182.07 [6442]P1(f318(x64421,x64422))+~P1(f318(f151(x64423,x64421),x64424))+~P1(f318(f318(f320(x64423),x64422),f318(f163(x64423),x64424)))
% 182.43/182.07 [6584]~P29(x65841,x65843,x65844)+P1(f318(x65841,x65842))+~P1(f318(f318(f320(a898),x65842),f318(f293(a898,x65843),x65844)))
% 182.43/182.07 [6723]~P74(x67231)+E(f318(f318(f6(a898,x67231),x67232),f294(a898,x67233,f318(a103,x67234))),f2(x67231))+~P1(f318(f318(f227(a898),f318(a103,x67234)),x67233))
% 182.43/182.07 [6869]~P82(x68691)+E(f318(f318(f23(f905(x68691,a894)),f318(f293(x68691,x68692),x68693)),f318(f293(x68691,x68692),x68694)),f318(f293(x68691,x68694),x68693))+~P1(f318(f318(f226(x68691),x68692),x68694))
% 182.43/182.07 [6940]~E(x69403,x69404)+E(x69401,f2(a898))+P1(f318(f318(f320(x69402),x69403),f318(f163(x69402),f160(x69402,x69401,x69404))))
% 182.43/182.07 [7224]~P1(f318(f318(f320(f899(x72241)),x72244),f152(x72241,x72243)))+P1(f318(f318(f320(x72241),x72242),x72243))+~P1(f318(f318(f320(x72241),x72242),f318(f163(x72241),x72244)))
% 182.43/182.07 [7231]~P36(x72311,x72312)+P1(f318(f318(f320(x72311),f604(x72312,x72311,x72313)),x72313))+~P1(f318(f318(f320(x72311),x72314),x72313))
% 182.43/182.07 [7288]~P74(x72881)+E(f318(f318(f318(f59(x72881,x72882,f75(x72881)),x72883),f2(x72881)),x72884),f318(f318(f6(x72882,x72881),x72883),x72884))+~P1(f318(f28(x72882),x72884))
% 182.43/182.07 [7290]~P75(x72901)+E(f318(f318(f318(f59(x72901,x72902,f76(x72901)),x72903),f73(x72901)),x72904),f318(f318(f9(x72902,x72901),x72903),x72904))+~P1(f318(f28(x72902),x72904))
% 182.43/182.07 [7317]P24(x73171,x73172,x73173,x73174)+~E(f318(f29(x73172),f318(f301(x73171,x73172,x73173),x73174)),f318(f29(x73171),x73174))+~P1(f318(f28(x73171),x73174))
% 182.43/182.07 [7511]~P74(x75111)+E(f318(f318(f75(x75111),f318(x75112,x75113)),f318(f318(f6(a898,x75111),x75112),f296(a898,x75113,x75114))),f318(f318(f6(a898,x75111),x75112),f294(a898,x75113,x75114)))+~P1(f318(f318(f226(a898),x75113),x75114))
% 182.43/182.07 [7520]~P74(x75201)+~P24(x75202,x75201,x75203,x75204)+E(f318(f318(f6(x75201,x75201),f25(x75201)),f318(f301(x75202,x75201,x75203),x75204)),f318(f318(f6(x75202,x75201),x75203),x75204))
% 182.43/182.07 [7521]~P75(x75211)+~P24(x75212,x75211,x75213,x75214)+E(f318(f318(f9(x75211,x75211),f25(x75211)),f318(f301(x75212,x75211,x75213),x75214)),f318(f318(f9(x75212,x75211),x75213),x75214))
% 182.43/182.07 [7569]E(f318(f29(f903(x75691,x75692)),f304(x75691,x75692,x75693,x75694)),f318(f318(f75(a898),f318(f29(x75691),x75693)),f318(f29(x75692),x75694)))+~P1(f318(f28(x75692),x75694))+~P1(f318(f28(x75691),x75693))
% 182.43/182.07 [7652]E(x76521,x76522)+P1(f318(f318(f320(x76523),x76521),f318(f163(x76523),f161(x76523,x76522,x76524))))+~P1(f318(f318(f320(x76523),x76521),f318(f163(x76523),x76524)))
% 182.43/182.07 [7882]~P74(x78821)+E(f318(f318(f75(x78821),f318(f318(f6(a898,x78821),x78822),f318(f293(a898,x78823),x78824))),f318(x78822,x78824)),f318(f318(f6(a898,x78821),x78822),f318(f293(a898,x78823),f318(a103,x78824))))+P1(f318(f318(f227(a898),x78824),x78823))
% 182.43/182.07 [7932]~P24(x79321,x79322,x79323,f233(f905(x79321,a894)))+~P1(f318(f28(x79322),x79324))+P1(f318(f28(x79321),f318(f302(x79321,x79322,x79323),x79324)))
% 182.43/182.07 [8049]P1(f318(f318(f320(f899(x80491)),f318(f318(f142(x80491),x80492),x80493)),f152(x80491,x80494)))+~P1(f318(f318(f320(f899(x80491)),x80493),f152(x80491,x80494)))+~P1(f318(f318(f320(x80491),x80492),x80494))
% 182.43/182.07 [8135]~E(f318(f301(x81353,x81351,x81354),f233(f905(x81353,a894))),f233(f905(x81351,a894)))+P1(f318(f28(x81351),x81352))+~P1(f318(f28(x81353),f318(f302(x81353,x81351,x81354),x81352)))
% 182.43/182.07 [8230]~P24(x82301,x82303,x82304,x82302)+P1(f318(f28(x82301),x82302))+~P1(f318(f28(x82303),f318(f301(x82301,x82303,x82304),x82302)))
% 182.43/182.07 [8254]~E(x82542,x82543)+P1(f318(f318(f320(f904(x82541,x82541)),f318(f318(f243(x82541,x82541),x82542),x82543)),f254(x82541,x82544)))+~P1(f318(f318(f320(x82541),x82542),x82544))
% 182.43/182.07 [8287]~P74(x82871)+E(f318(f318(f75(x82871),f318(f318(f6(a898,x82871),x82872),f294(a898,x82873,x82874))),f318(x82872,f318(a103,x82874))),f318(f318(f6(a898,x82871),x82872),f294(a898,x82873,f318(a103,x82874))))+P1(f318(f318(f227(a898),f318(a103,x82874)),x82873))
% 182.43/182.07 [8347]P1(f318(x83471,x83472))+~P1(f318(x83471,f318(f318(f155(x83473),x83474),f641(x83471,x83474,x83473))))+~P1(f318(f318(f320(x83473),x83472),f318(f163(x83473),x83474)))
% 182.43/182.07 [8489]~P1(f318(f318(f320(x84891),x84892),f307(x84891,x84894)))+P1(f318(f318(f320(f899(x84891)),f318(f318(f142(x84891),x84892),x84893)),f307(f899(x84891),f148(x84891,x84894))))+~P1(f318(f318(f320(f899(x84891)),x84893),f307(f899(x84891),f148(x84891,x84894))))
% 182.43/182.07 [8504]~P24(x85042,x85043,x85044,f607(x85044,x85043,x85042,x85041))+P24(x85042,x85043,x85044,f32(f905(x85042,a894),x85041))+E(x85041,f179(f905(f905(x85042,a894),a894)))
% 182.43/182.07 [8773]E(x87731,x87732)+~P1(f318(f318(f320(f904(x87733,x87733)),f318(f318(f243(x87733,x87733),x87731),x87732)),f298(x87733,x87734)))+P1(f318(f318(f320(x87733),x87731),f318(f255(x87733,x87733),x87734)))
% 182.43/182.07 [9055]E(x90551,f2(a898))+P1(f318(x90552,x90553))+P1(f318(f318(f320(x90554),f751(x90552,x90553,x90551,x90554)),f318(f163(x90554),f160(x90554,x90551,x90553))))
% 182.43/182.07 [9067]E(x90671,f2(a898))+~P1(f318(x90673,x90674))+P1(f318(f318(f320(x90672),f750(x90673,x90674,x90671,x90672)),f318(f163(x90672),f160(x90672,x90671,x90674))))
% 182.43/182.07 [9069]~P25(x90691,x90692,x90693,f233(f905(x90691,a894)),f233(f905(x90692,a894)))+~P1(f318(f28(x90692),x90694))+P1(f318(f28(x90691),f318(f302(x90691,x90692,x90693),x90694)))
% 182.43/182.07 [9072]P24(x90722,x90723,x90724,f32(f905(x90722,a894),x90721))+E(x90721,f179(f905(f905(x90722,a894),a894)))+P1(f318(f318(f320(f905(x90722,a894)),f607(x90724,x90723,x90722,x90721)),x90721))
% 182.43/182.07 [9187]~P25(x91873,x91871,x91874,f233(f905(x91873,a894)),f233(f905(x91871,a894)))+P1(f318(f28(x91871),x91872))+~P1(f318(f28(x91873),f318(f302(x91873,x91871,x91874),x91872)))
% 182.43/182.07 [9204]P1(f318(f28(x92041),x92042))+~P1(f318(f28(x92044),f318(f301(x92041,x92044,x92043),x92042)))+P1(f318(f318(f320(x92041),f400(x92043,x92044,x92042,x92041)),x92042))
% 182.43/182.07 [9300]~P5(x93002)+E(f318(f318(f58(x93001,x93002,f318(f318(f8(x93002,f905(x93002,x93002),x93001),f101(x93002)),x93003)),f179(x93002)),x93004),f318(f318(f34(x93001,x93002),x93004),x93003))+~P1(f318(f28(x93001),x93004))
% 182.43/182.07 [9301]~P5(x93012)+E(f318(f318(f58(x93011,x93012,f318(f318(f8(x93012,f905(x93012,x93012),x93011),f92(x93012)),x93013)),f233(x93012)),x93014),f318(f318(f35(x93011,x93012),x93014),x93013))+~P1(f318(f28(x93011),x93014))
% 182.43/182.07 [9331]~P1(f318(f318(f278(a898),x93313),x93314))+P1(f318(f318(f278(a898),x93311),x93312))+P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x93311,x93312)),f281(a898,f278(a898),x93313,x93314)))
% 182.43/182.07 [9344]~P1(f318(f318(f278(a898),x93442),x93444))+~P1(f318(f318(f278(a898),x93443),x93441))+P1(f318(f318(f226(f905(a898,a894)),f281(a898,f278(a898),x93441,x93442)),f281(a898,f278(a898),x93443,x93444)))
% 182.43/182.07 [9387]P1(f318(x93871,x93872))+~P1(f318(x93871,f318(f318(f155(x93873),x93874),f677(x93872,x93871,x93874,x93873))))+~P1(f318(f318(f320(x93873),x93872),f318(f163(x93873),x93874)))
% 182.43/182.07 [9408]E(x94081,x94082)+~P1(f318(f318(f320(f904(x94083,x94083)),f318(f318(f243(x94083,x94083),x94081),x94082)),f298(x94083,x94084)))+P1(f318(f318(f320(f904(x94083,x94083)),f318(f318(f243(x94083,x94083),x94081),x94082)),f318(f318(f280(x94083,x94083,x94083),x94084),f298(x94083,x94084))))
% 182.43/182.07 [9458]~E(f318(f180(f899(x94581)),x94582),f318(f180(f899(x94581)),x94583))+~P1(f318(f318(f320(f904(f899(x94581),f899(x94581))),f318(f318(f243(f899(x94581),f899(x94581)),x94582),x94583)),f138(x94581,x94584)))+P1(f318(f318(f320(f904(f899(x94581),f899(x94581))),f318(f318(f243(f899(x94581),f899(x94581)),x94582),x94583)),f136(x94581,x94584)))
% 182.43/182.07 [9581]P1(f318(f318(f278(a898),x95811),x95812))+~P1(f318(f318(f278(a898),x95813),x95811))+~P1(f318(f318(f226(f905(a898,a894)),f281(a898,f278(a898),x95813,x95811)),f281(a898,f278(a898),x95814,x95812)))
% 182.43/182.07 [9582]P1(f318(f318(f278(a898),x95821),x95822))+~P1(f318(f318(f278(a898),x95823),x95821))+~P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x95823,x95821)),f281(a898,f278(a898),x95824,x95822)))
% 182.43/182.07 [9583]P1(f318(f318(f278(a898),x95831),x95832))+~P1(f318(f318(f278(a898),x95832),x95833))+~P1(f318(f318(f226(f905(a898,a894)),f281(a898,f278(a898),x95832,x95833)),f281(a898,f278(a898),x95831,x95834)))
% 182.43/182.07 [9584]P1(f318(f318(f278(a898),x95841),x95842))+~P1(f318(f318(f278(a898),x95842),x95843))+~P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x95842,x95843)),f281(a898,f278(a898),x95841,x95844)))
% 182.43/182.07 [9703]P30(x97031,f318(f318(f18(x97031,a894,a894),f318(f318(f8(a894,f905(a894,a894),x97031),a317),f318(f318(f8(a894,a894,x97031),a313),x97032))),f318(a315,x97033)),x97034)+~P1(f318(x97032,x97033))+~P34(x97031,x97032,f318(f318(f142(x97031),x97033),x97034))
% 182.43/182.07 [9868]~P30(x98681,f318(f318(f18(x98681,a894,a894),f318(f318(f8(a894,f905(a894,a894),x98681),a317),f318(f318(f8(a894,a894,x98681),a313),x98682))),f318(a315,x98683)),x98684)+~P1(f318(x98682,x98683))+P34(x98681,x98682,f318(f318(f142(x98681),x98683),x98684))
% 182.43/182.07 [9872]~P34(x98721,x98722,x98724)+~P30(x98721,f318(f318(f18(x98721,a894,a894),f318(f318(f8(a894,f905(a894,a894),x98721),a317),f318(f318(f8(a894,a894,x98721),a313),x98722))),f318(a315,x98723)),x98724)+P34(x98721,x98722,f318(f318(f142(x98721),x98723),x98724))
% 182.43/182.07 [9905]~P67(x99051)+E(f318(f318(f6(a898,x99051),f318(f318(f18(a898,x99051,x99051),f318(f318(f8(x99051,f905(x99051,x99051),a898),f23(x99051)),x99052)),f318(f318(f8(a898,x99051,a898),x99052),f318(f318(f7(a898,a898,a898),f75(a898)),f73(a898))))),f294(a898,x99053,x99054)),f2(x99051))+P1(f318(f318(f226(a898),x99053),x99054))
% 182.43/182.07 [10142]~P36(x101422,x101424)+~P24(x101422,x101421,x101423,f233(f905(x101422,a894)))+P36(x101421,f318(f301(f904(x101422,x101422),f904(x101421,x101421),f249(x101422,x101421,x101422,x101421,x101423,x101423)),x101424))
% 182.43/182.07 [10333]~E(f318(f180(f899(x103331)),x103333),f318(f180(f899(x103331)),x103332))+P1(f318(f318(f320(f904(f899(x103331),f899(x103331))),f318(f318(f243(f899(x103331),f899(x103331)),x103332),x103333)),f149(x103331,x103334)))+~P1(f318(f318(f248(x103331,x103331,a894),f318(f318(f7(x103331,f905(f904(x103331,x103331),a894),f905(x103331,a894)),f318(f318(f8(f905(x103331,f905(f905(f904(x103331,x103331),a894),a894)),f905(f905(f904(x103331,x103331),a894),f905(x103331,a894)),x103331),f7(x103331,f905(f904(x103331,x103331),a894),a894)),f318(f318(f8(f905(x103331,f904(x103331,x103331)),f905(x103331,f905(f905(f904(x103331,x103331),a894),a894)),x103331),f318(f8(f904(x103331,x103331),f905(f905(f904(x103331,x103331),a894),a894),x103331),f320(f904(x103331,x103331)))),f243(x103331,x103331)))),x103334)),f643(x103334,x103333,x103332,x103331)))
% 182.43/182.07 [6172]~P3(x61721)+~E(x61722,f2(x61721))+E(f318(f318(f30(x61721),f318(f318(f76(x61721),x61722),x61723)),f318(f318(f76(x61721),x61722),x61724)),f2(x61721))
% 182.43/182.07 [6214]E(x62141,f104(x62142))+E(x62143,f318(f318(f23(a898),f318(f180(f899(x62142)),x62141)),f73(a898)))+E(f135(x62142,f318(f318(f150(x62142,x62141),x62143),x62144)),f135(x62142,x62141))
% 182.43/182.07 [6251]E(x62511,x62512)+P1(f318(x62513,x62512))+~P1(f318(f318(f318(f300(x62514),x62511),x62513),x62512))
% 182.43/182.07 [6267]~P74(x62671)+~P1(f318(f128(x62672),x62674))+E(f318(f156(x62671),f318(f318(f145(x62672,x62671),x62673),x62674)),f318(f318(f6(x62672,x62671),x62673),f318(f163(x62672),x62674)))
% 182.43/182.07 [6283]~P75(x62832)+~P1(f318(f28(x62831),x62834))+E(f318(f318(f9(x62831,x62832),f318(f16(x62832,x62831),x62833)),x62834),f318(f318(f235(x62832),x62833),f318(f29(x62831),x62834)))
% 182.43/182.07 [6338]~P60(x63382)+E(x63381,f2(x63382))+E(f318(f318(f282(x63382),f318(f318(f76(x63382),x63383),x63381)),f318(f318(f76(x63382),x63384),x63381)),f318(f318(f282(x63382),x63383),x63384))
% 182.43/182.07 [6339]~P60(x63392)+E(x63391,f2(x63392))+E(f318(f318(f282(x63392),f318(f318(f76(x63392),x63391),x63393)),f318(f318(f76(x63392),x63391),x63394)),f318(f318(f282(x63392),x63393),x63394))
% 182.43/182.07 [6340]~P3(x63402)+E(x63401,f2(x63402))+E(f318(f318(f30(x63402),f318(f318(f76(x63402),x63403),x63401)),f318(f318(f76(x63402),x63404),x63401)),f318(f318(f30(x63402),x63403),x63404))
% 182.43/182.07 [6342]~P3(x63422)+E(x63421,f2(x63422))+E(f318(f318(f30(x63422),f318(f318(f76(x63422),x63421),x63423)),f318(f318(f76(x63422),x63421),x63424)),f318(f318(f30(x63422),x63423),x63424))
% 182.43/182.07 [6411]P1(f318(x64111,x64112))+~E(x64113,f318(f318(f75(a898),x64114),x64112))+~P1(f318(x64111,f318(f318(f23(a898),x64113),x64114)))
% 182.43/182.07 [6497]~P1(f318(x64972,x64973))+~P1(f318(f151(x64971,x64972),x64974))+P1(f318(f151(x64971,x64972),f318(f318(f142(x64971),x64973),x64974)))
% 182.43/182.07 [6538]E(x65381,f104(x65382))+~E(x65383,f318(f318(f23(a898),f318(f180(f899(x65382)),x65381)),f73(a898)))+E(f135(x65382,f318(f318(f150(x65382,x65381),x65383),x65384)),x65384)
% 182.43/182.07 [6561]~P104(x65611)+~P1(f318(f318(f226(x65611),x65612),x65614))+P1(f318(f318(f226(x65611),x65612),f318(f318(f101(x65611),x65613),x65614)))
% 182.43/182.07 [6562]~P104(x65621)+~P1(f318(f318(f226(x65621),x65622),x65623))+P1(f318(f318(f226(x65621),x65622),f318(f318(f101(x65621),x65623),x65624)))
% 182.43/182.07 [6564]~P82(x65641)+~P1(f318(f318(f226(x65641),x65642),x65644))+P1(f318(f318(f226(x65641),x65642),f318(f318(f225(x65641),x65643),x65644)))
% 182.43/182.07 [6566]~P82(x65661)+~P1(f318(f318(f226(x65661),x65662),x65663))+P1(f318(f318(f226(x65661),x65662),f318(f318(f225(x65661),x65663),x65664)))
% 182.43/182.07 [6567]~P104(x65671)+~P1(f318(f318(f227(x65671),x65672),x65674))+P1(f318(f318(f227(x65671),x65672),f318(f318(f101(x65671),x65673),x65674)))
% 182.43/182.07 [6568]~P104(x65681)+~P1(f318(f318(f227(x65681),x65682),x65683))+P1(f318(f318(f227(x65681),x65682),f318(f318(f101(x65681),x65683),x65684)))
% 182.43/182.07 [6570]~P82(x65701)+~P1(f318(f318(f227(x65701),x65702),x65704))+P1(f318(f318(f227(x65701),x65702),f318(f318(f225(x65701),x65703),x65704)))
% 182.43/182.07 [6572]~P82(x65721)+~P1(f318(f318(f227(x65721),x65722),x65723))+P1(f318(f318(f227(x65721),x65722),f318(f318(f225(x65721),x65723),x65724)))
% 182.43/182.07 [6573]~P111(x65731)+~P1(f318(f318(f278(x65731),x65732),x65734))+P1(f318(f318(f278(x65731),x65732),f318(f318(f76(x65731),x65733),x65734)))
% 182.43/182.07 [6574]~P111(x65741)+~P1(f318(f318(f278(x65741),x65742),x65743))+P1(f318(f318(f278(x65741),x65742),f318(f318(f76(x65741),x65743),x65744)))
% 182.43/182.07 [6667]~E(f318(f318(f155(x66671),x66672),x66673),x66674)+E(f318(f318(f150(x66671,x66672),x66673),x66674),x66672)+~P1(f318(f318(f227(a898),x66673),f318(f180(f899(x66671)),x66672)))
% 182.43/182.07 [6707]P1(f318(x67071,x67072))+~P1(f318(x67073,x67072))+~P1(f318(f318(f226(f905(x67074,a894)),x67073),x67071))
% 182.43/182.07 [6742]~E(f318(f318(f150(x67421,x67422),x67423),x67424),x67422)+E(f318(f318(f155(x67421),x67422),x67423),x67424)+~P1(f318(f318(f227(a898),x67423),f318(f180(f899(x67421)),x67422)))
% 182.43/182.07 [6756]~P1(f318(f151(x67561,x67562),x67564))+~P1(f318(f151(x67561,x67562),x67563))+P1(f318(f151(x67561,x67562),f318(f318(f125(x67561),x67563),x67564)))
% 182.43/182.07 [6865]E(x68651,f179(f905(x68652,a894)))+E(x68653,f179(f905(x68654,a894)))+~E(f318(f318(f245(x68654,x68652),x68653),f318(f16(f905(x68652,a894),x68654),x68651)),f179(f905(f904(x68654,x68652),a894)))
% 182.43/182.07 [6885]E(x68851,x68852)+P1(f318(f318(f320(x68853),x68851),x68854))+~P1(f318(f318(f320(x68853),x68851),f318(f318(f300(x68853),x68852),x68854)))
% 182.43/182.07 [6902]~P82(x69021)+P1(f318(f318(f226(x69021),x69022),x69023))+~P1(f318(f318(f226(x69021),x69022),f318(f318(f224(x69021),x69024),x69023)))
% 182.43/182.07 [6904]~P82(x69041)+P1(f318(f318(f226(x69041),x69042),x69043))+~P1(f318(f318(f226(x69041),x69042),f318(f318(f224(x69041),x69043),x69044)))
% 182.43/182.07 [6906]~P102(x69061)+P1(f318(f318(f226(x69061),x69062),x69063))+~P1(f318(f318(f226(x69061),x69062),f318(f318(f92(x69061),x69064),x69063)))
% 182.43/182.07 [6908]~P102(x69081)+P1(f318(f318(f226(x69081),x69082),x69083))+~P1(f318(f318(f226(x69081),x69082),f318(f318(f92(x69081),x69083),x69084)))
% 182.43/182.07 [6909]~P82(x69091)+P1(f318(f318(f227(x69091),x69092),x69093))+~P1(f318(f318(f227(x69091),x69092),f318(f318(f224(x69091),x69094),x69093)))
% 182.43/182.07 [6910]~P82(x69101)+P1(f318(f318(f227(x69101),x69102),x69103))+~P1(f318(f318(f227(x69101),x69102),f318(f318(f224(x69101),x69103),x69104)))
% 182.43/182.07 [6931]~E(f318(f318(f155(x69311),x69313),x69314),x69312)+P1(f318(f318(f320(x69311),x69312),f318(f163(x69311),x69313)))+~P1(f318(f318(f227(a898),x69314),f318(f180(f899(x69311)),x69313)))
% 182.43/182.07 [6941]~P82(x69411)+~P13(x69411,f318(f318(f142(x69411),x69412),f318(f318(f142(x69411),x69413),x69414)))+P1(f318(f318(f226(x69411),x69412),x69413))
% 182.43/182.07 [7089]~P30(x70892,x70891,x70893)+P1(f318(x70891,f318(f318(f155(x70892),x70893),x70894)))+~P1(f318(f318(f227(a898),x70894),f318(f180(f899(x70892)),x70893)))
% 182.43/182.07 [7107]E(x71071,f2(a1))+E(f318(f318(f30(a1),x71072),x71071),x71073)+~P1(f318(f44(x71072,x71071),f318(f318(f243(a1,a1),x71073),x71074)))
% 182.43/182.07 [7129]E(f40(a1,x71292,x71291),x71293)+E(x71291,f2(a1))+~P1(f318(f44(x71292,x71291),f318(f318(f243(a1,a1),x71294),x71293)))
% 182.43/182.07 [7248]P1(f318(f318(f320(x72481),x72482),x72483))+~P1(f318(f318(f320(x72481),x72482),x72484))+~P1(f318(f318(f227(f905(x72481,a894)),x72484),x72483))
% 182.43/182.07 [7249]P1(f318(f318(f320(x72491),x72492),x72493))+~P1(f318(f318(f320(x72491),x72492),x72494))+~P1(f318(f318(f226(f905(x72491,a894)),x72494),x72493))
% 182.43/182.07 [7260]~P119(x72601)+~E(x72603,f2(x72601))+P1(f318(f318(f278(x72601),f318(f318(f76(x72601),x72602),x72603)),f318(f318(f76(x72601),x72604),x72603)))
% 182.43/182.07 [7261]~P119(x72611)+~E(x72612,f2(x72611))+P1(f318(f318(f278(x72611),f318(f318(f76(x72611),x72612),x72613)),f318(f318(f76(x72611),x72612),x72614)))
% 182.43/182.07 [7361]P32(x73611,x73612,x73613)+~P1(f318(x73612,f318(f318(f155(x73611),x73613),x73614)))+~P1(f318(f318(f227(a898),x73614),f318(f180(f899(x73611)),x73613)))
% 182.43/182.07 [7476]~P81(x74762)+~P1(f318(f318(f227(f905(x74761,x74762)),x74763),x74764))+P1(f318(f318(f226(f905(x74761,x74762)),x74763),x74764))
% 182.43/182.07 [7600]~P1(f318(f318(f320(x76001),x76002),x76004))+P1(f318(f318(f320(x76001),x76002),f31(f905(x76001,a894),x76003)))+~P1(f318(f318(f320(f905(x76001,a894)),x76004),x76003))
% 182.43/182.07 [7602]~P111(x76021)+~P1(f318(f318(f226(a898),x76023),x76024))+P1(f318(f318(f278(x76021),f318(f318(f235(x76021),x76022),x76023)),f318(f318(f235(x76021),x76022),x76024)))
% 182.43/182.07 [7629]~P85(x76291)+~P1(f318(f318(f226(x76291),x76293),x76294))+P1(f318(f318(f226(x76291),f318(f318(f75(x76291),x76292),x76293)),f318(f318(f75(x76291),x76292),x76294)))
% 182.43/182.07 [7630]~P86(x76301)+~P1(f318(f318(f226(x76301),x76303),x76304))+P1(f318(f318(f226(x76301),f318(f318(f75(x76301),x76302),x76303)),f318(f318(f75(x76301),x76302),x76304)))
% 182.43/182.07 [7631]~P85(x76311)+~P1(f318(f318(f226(x76311),x76312),x76314))+P1(f318(f318(f226(x76311),f318(f318(f75(x76311),x76312),x76313)),f318(f318(f75(x76311),x76314),x76313)))
% 182.43/182.07 [7632]~P86(x76321)+~P1(f318(f318(f226(x76321),x76322),x76324))+P1(f318(f318(f226(x76321),f318(f318(f75(x76321),x76322),x76323)),f318(f318(f75(x76321),x76324),x76323)))
% 182.43/182.07 [7633]~P85(x76331)+~P1(f318(f318(f227(x76331),x76333),x76334))+P1(f318(f318(f227(x76331),f318(f318(f75(x76331),x76332),x76333)),f318(f318(f75(x76331),x76332),x76334)))
% 182.43/182.07 [7634]~P88(x76341)+~P1(f318(f318(f227(x76341),x76343),x76344))+P1(f318(f318(f227(x76341),f318(f318(f75(x76341),x76342),x76343)),f318(f318(f75(x76341),x76342),x76344)))
% 182.43/182.07 [7635]~P85(x76351)+~P1(f318(f318(f227(x76351),x76352),x76354))+P1(f318(f318(f227(x76351),f318(f318(f75(x76351),x76352),x76353)),f318(f318(f75(x76351),x76354),x76353)))
% 182.43/182.07 [7636]~P88(x76361)+~P1(f318(f318(f227(x76361),x76362),x76364))+P1(f318(f318(f227(x76361),f318(f318(f75(x76361),x76362),x76363)),f318(f318(f75(x76361),x76364),x76363)))
% 182.43/182.07 [7637]~P119(x76371)+~P1(f318(f318(f278(x76371),x76373),x76374))+P1(f318(f318(f278(x76371),f318(f318(f76(x76371),x76372),x76373)),f318(f318(f76(x76371),x76372),x76374)))
% 182.43/182.07 [7638]~P119(x76381)+~P1(f318(f318(f278(x76381),x76382),x76384))+P1(f318(f318(f278(x76381),f318(f318(f76(x76381),x76382),x76383)),f318(f318(f76(x76381),x76384),x76383)))
% 182.43/182.07 [7639]~P111(x76391)+~P1(f318(f318(f278(x76391),x76392),x76394))+P1(f318(f318(f278(x76391),f318(f318(f235(x76391),x76392),x76393)),f318(f318(f235(x76391),x76394),x76393)))
% 182.43/182.07 [7646]~P128(x76461)+~P96(x76461)+E(f318(f318(f23(x76461),f318(f318(f76(x76461),x76462),f318(f94(x76461),x76463))),f318(f318(f76(x76461),x76464),f318(f94(x76461),x76463))),f318(f318(f76(x76461),f318(f318(f23(x76461),x76462),x76464)),f318(f94(x76461),x76463)))
% 182.43/182.07 [7647]~P143(x76471)+~P96(x76471)+E(f318(f318(f75(x76471),f318(f318(f76(x76471),x76472),f318(f94(x76471),x76473))),f318(f318(f76(x76471),x76474),f318(f94(x76471),x76473))),f318(f318(f76(x76471),f318(f318(f75(x76471),x76472),x76474)),f318(f94(x76471),x76473)))
% 182.43/182.07 [7683]~P74(x76831)+E(f318(f318(f75(x76831),f318(x76832,x76833)),f318(f318(f6(a898,x76831),x76832),f294(a898,f318(a103,x76833),x76834))),f318(f318(f6(a898,x76831),x76832),f294(a898,x76833,x76834)))+~P1(f318(f318(f226(a898),x76833),x76834))
% 182.43/182.07 [7695]~P24(x76952,x76951,x76953,f318(f163(x76952),x76954))+~P1(f318(f128(x76952),x76954))+P1(f318(f128(x76951),f318(f318(f145(x76952,x76951),x76953),x76954)))
% 182.43/182.07 [7744]~P1(f318(f318(f226(a898),x77442),x77444))+~P1(f318(f318(f226(a898),x77441),x77443))+P1(f318(f318(f226(a898),f318(f318(f75(a898),x77441),x77442)),f318(f318(f75(a898),x77443),x77444)))
% 182.43/182.07 [7745]~P1(f318(f318(f226(a898),x77452),x77454))+~P1(f318(f318(f226(a898),x77451),x77453))+P1(f318(f318(f226(a898),f318(f318(f76(a898),x77451),x77452)),f318(f318(f76(a898),x77453),x77454)))
% 182.43/182.07 [7748]~P1(f318(f318(f227(a898),x77482),x77484))+~P1(f318(f318(f227(a898),x77481),x77483))+P1(f318(f318(f227(a898),f318(f318(f75(a898),x77481),x77482)),f318(f318(f75(a898),x77483),x77484)))
% 182.43/182.07 [7749]~P1(f318(f318(f226(a1),x77492),x77494))+~P1(f318(f318(f227(a1),x77491),x77493))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x77491),x77492)),f318(f318(f75(a1),x77493),x77494)))
% 182.43/182.07 [7797]P1(f318(f318(f320(x77971),x77972),x77973))+~P1(f318(f318(f320(x77971),x77972),f32(f905(x77971,a894),x77974)))+~P1(f318(f318(f320(f905(x77971,a894)),x77973),x77974))
% 182.43/182.07 [7814]~P1(f318(x78141,f639(x78141,x78143,x78142)))+P1(f318(x78141,f318(f318(f155(x78142),x78143),x78144)))+~P1(f318(f318(f227(a898),x78144),f318(f180(f899(x78142)),x78143)))
% 182.43/182.07 [7819]P1(f318(x78191,x78192))+~P1(f318(f318(f320(x78194),x78192),f318(f163(x78194),x78193)))+P1(f318(f318(f227(a898),f641(x78191,x78193,x78194)),f318(f180(f899(x78194)),x78193)))
% 182.43/182.07 [7866]~P81(x78661)+~P1(f318(f318(f227(f905(x78662,x78661)),x78664),x78663))+~P1(f318(f318(f226(f905(x78662,x78661)),x78663),x78664))
% 182.43/182.07 [7911]~P1(f318(x79114,x79112))+~P1(f318(f318(f320(x79111),x79112),x79113))+P1(f318(f318(f320(x79111),x79112),f318(f318(f92(f905(x79111,a894)),x79113),f318(f253(x79111),x79114))))
% 182.43/182.07 [8056]~P1(f318(f318(f320(x80561),x80563),x80564))+~P1(f318(f318(f227(f905(x80561,a894)),x80562),x80564))+P1(f318(f318(f227(f905(x80561,a894)),x80562),f318(f318(f300(x80561),x80563),x80564)))
% 182.43/182.07 [8058]E(f318(f318(f92(f905(x80581,a894)),x80582),x80583),f179(f905(x80581,a894)))+~E(f318(f318(f92(f905(x80581,a894)),f31(f905(x80581,a894),x80584)),x80583),f179(f905(x80581,a894)))+~P1(f318(f318(f320(f905(x80581,a894)),x80582),x80584))
% 182.43/182.07 [8131]P1(f318(f318(f320(x81311),x81312),x81313))+~P1(f318(f318(f226(f905(x81311,a894)),x81313),f318(f318(f300(x81311),x81312),x81314)))+P1(f318(f318(f226(f905(x81311,a894)),x81313),x81314))
% 182.43/182.07 [8148]P1(f318(f318(f320(x81482),f639(x81481,x81483,x81482)),f318(f163(x81482),x81483)))+P1(f318(x81481,f318(f318(f155(x81482),x81483),x81484)))+~P1(f318(f318(f227(a898),x81484),f318(f180(f899(x81482)),x81483)))
% 182.43/182.07 [8156]~P1(f318(f318(f226(f905(x81561,a894)),x81562),x81564))+P1(f318(f318(f226(f905(x81561,a894)),x81562),x81563))+~P1(f318(f318(f226(f905(x81561,a894)),x81564),x81563))
% 182.43/182.07 [8157]~P1(f318(f318(f227(f905(x81571,a894)),x81572),x81574))+~P1(f318(f318(f226(f905(x81571,a894)),x81574),x81573))+P1(f318(f318(f227(f905(x81571,a894)),x81572),x81573))
% 182.43/182.07 [8158]~P1(f318(f318(f226(f905(x81581,a894)),x81582),x81584))+~P1(f318(f318(f227(f905(x81581,a894)),x81584),x81583))+P1(f318(f318(f227(f905(x81581,a894)),x81582),x81583))
% 182.43/182.07 [8159]~P1(f318(f318(f227(f905(x81591,a894)),x81592),x81594))+P1(f318(f318(f227(f905(x81591,a894)),x81592),x81593))+~P1(f318(f318(f227(f905(x81591,a894)),x81594),x81593))
% 182.43/182.07 [8203]~P1(f318(f318(f320(x82031),x82034),x82033))+~P1(f318(f318(f227(f905(x82031,a894)),x82032),f318(f318(f300(x82031),x82034),x82033)))+P1(f318(f318(f227(f905(x82031,a894)),x82032),x82033))
% 182.43/182.07 [8214]~P85(x82141)+P1(f318(f318(f226(x82141),x82142),x82143))+~P1(f318(f318(f226(x82141),f318(f318(f75(x82141),x82144),x82142)),f318(f318(f75(x82141),x82144),x82143)))
% 182.43/182.07 [8216]~P85(x82161)+P1(f318(f318(f226(x82161),x82162),x82163))+~P1(f318(f318(f226(x82161),f318(f318(f75(x82161),x82162),x82164)),f318(f318(f75(x82161),x82163),x82164)))
% 182.43/182.07 [8218]~P85(x82181)+P1(f318(f318(f227(x82181),x82182),x82183))+~P1(f318(f318(f227(x82181),f318(f318(f75(x82181),x82184),x82182)),f318(f318(f75(x82181),x82184),x82183)))
% 182.43/182.07 [8220]~P85(x82201)+P1(f318(f318(f227(x82201),x82202),x82203))+~P1(f318(f318(f227(x82201),f318(f318(f75(x82201),x82202),x82204)),f318(f318(f75(x82201),x82203),x82204)))
% 182.43/182.07 [8271]P1(f318(x82711,x82712))+~E(f318(f318(f129(x82713),f318(f180(f899(x82713)),f168(x82713,x82711,x82714))),x82714),f104(x82713))+~P1(f318(f318(f320(x82713),x82712),f318(f163(x82713),x82714)))
% 182.43/182.07 [8390]P1(f318(x83901,x83902))+~P1(f318(f318(f320(x83903),x83902),f318(f163(x83903),x83904)))+P1(f318(f318(f227(a898),f318(f180(f899(x83903)),f318(f127(x83903,x83901),x83904))),f318(f180(f899(x83903)),x83904)))
% 182.43/182.07 [8880]~P1(f318(x88801,f732(x88801,x88803,x88802,x88804)))+P1(f318(x88801,f318(f318(f155(x88802),x88803),x88804)))+~P1(f318(f318(f227(a898),x88804),f318(f180(f899(x88802)),x88803)))
% 182.43/182.07 [8904]~P24(x89044,x89043,x89041,f233(f905(x89044,a894)))+E(f318(x89041,f482(x89042,x89041,x89043,x89044)),x89042)+~P1(f318(f318(f320(x89043),x89042),f318(f301(x89044,x89043,x89041),f233(f905(x89044,a894)))))
% 182.43/182.07 [8972]E(f168(x89721,x89722,x89723),f318(f318(f166(x89721),x89724),x89723))+P1(f318(f318(f227(a898),f703(x89722,x89723,x89721,x89724)),x89724))+P1(f318(f318(f227(a898),x89724),f318(f180(f899(x89721)),x89723)))
% 182.43/182.07 [8975]E(f168(x89751,x89752,x89753),f318(f318(f166(x89751),x89754),x89753))+P1(f318(f318(f227(a898),f703(x89752,x89753,x89751,x89754)),x89754))+P1(f318(x89752,f318(f318(f155(x89751),x89753),x89754)))
% 182.43/182.07 [9010]P1(f318(x90101,x90102))+~P1(f318(f318(f320(x90104),x90102),f318(f163(x90104),x90103)))+P1(f318(f318(f227(a898),f677(x90102,x90101,x90103,x90104)),f318(f180(f899(x90104)),x90103)))
% 182.43/182.07 [9012]E(f168(x90121,x90122,x90123),f318(f318(f166(x90121),x90124),x90123))+P1(f318(f318(f227(a898),x90124),f318(f180(f899(x90121)),x90123)))+P1(f318(f318(f227(a898),f703(x90122,x90123,x90121,x90124)),f318(f180(f899(x90121)),x90123)))
% 182.43/182.07 [9019]E(f168(x90191,x90192,x90193),f318(f318(f166(x90191),x90194),x90193))+P1(f318(x90192,f318(f318(f155(x90191),x90193),x90194)))+P1(f318(f318(f227(a898),f703(x90192,x90193,x90191,x90194)),f318(f180(f899(x90191)),x90193)))
% 182.43/182.07 [9046]~P109(x90464)+P1(f318(f318(f320(x90461),f623(x90462,x90463,x90461,x90464)),x90463))+P1(f318(f318(f227(x90464),f2(x90464)),f318(f318(f9(x90461,x90464),x90462),x90463)))
% 182.43/182.07 [9047]~P109(x90474)+P1(f318(f318(f320(x90471),f626(x90472,x90473,x90471,x90474)),x90473))+P1(f318(f318(f226(x90474),f2(x90474)),f318(f318(f9(x90471,x90474),x90472),x90473)))
% 182.43/182.07 [9074]~P1(f318(f28(x90741),x90744))+P1(f318(f318(f320(x90741),f505(x90742,x90743,x90744,x90741)),x90744))+P1(f318(f28(f904(x90741,x90743)),f318(f318(f245(x90741,x90743),x90744),x90742)))
% 182.43/182.07 [9106]P1(f318(f318(f320(x91062),f732(x91061,x91063,x91062,x91064)),f318(f163(x91062),x91063)))+P1(f318(x91061,f318(f318(f155(x91062),x91063),x91064)))+~P1(f318(f318(f227(a898),x91064),f318(f180(f899(x91062)),x91063)))
% 182.43/182.07 [9236]P1(f318(f318(f226(a898),x92364),f318(f180(f899(x92362)),f168(x92362,x92363,x92361))))+P1(f318(f318(f227(a898),f704(x92361,x92362,x92363,x92364)),x92364))+~P1(f318(f318(f226(a898),x92364),f318(f180(f899(x92362)),x92361)))
% 182.43/182.07 [9391]E(f168(x93911,x93912,x93913),f318(f318(f166(x93911),x93914),x93913))+~P1(f318(x93912,f318(f318(f155(x93911),x93913),f703(x93912,x93913,x93911,x93914))))+P1(f318(f318(f227(a898),x93914),f318(f180(f899(x93911)),x93913)))
% 182.43/182.07 [9398]E(f168(x93981,x93982,x93983),f318(f318(f166(x93981),x93984),x93983))+~P1(f318(x93982,f318(f318(f155(x93981),x93983),f703(x93982,x93983,x93981,x93984))))+P1(f318(x93982,f318(f318(f155(x93981),x93983),x93984)))
% 182.43/182.07 [9402]~P1(f318(f28(x94021),x94023))+~P1(f318(f28(x94022),f318(x94024,f505(x94024,x94022,x94023,x94021))))+P1(f318(f28(f904(x94021,x94022)),f318(f318(f245(x94021,x94022),x94023),x94024)))
% 182.43/182.07 [9410]~P109(x94101)+~P1(f318(f318(f226(x94101),f2(x94101)),f318(x94103,f626(x94103,x94104,x94102,x94101))))+P1(f318(f318(f226(x94101),f2(x94101)),f318(f318(f9(x94102,x94101),x94103),x94104)))
% 182.43/182.07 [9411]~P109(x94111)+~P1(f318(f318(f227(x94111),f2(x94111)),f318(x94113,f623(x94113,x94114,x94112,x94111))))+P1(f318(f318(f227(x94111),f2(x94111)),f318(f318(f9(x94112,x94111),x94113),x94114)))
% 182.43/182.07 [9419]~E(f318(f180(f899(x94194)),x94192),f318(f180(f899(x94194)),x94193))+P1(f318(f318(f320(f904(f899(x94194),f899(x94194))),f318(f318(f243(f899(x94194),f899(x94194)),x94193),x94192)),f149(x94194,x94191)))+P1(f318(f318(f227(a898),f635(x94191,x94192,x94193,x94194)),f318(f180(f899(x94194)),x94193)))
% 182.43/182.07 [9471]~P1(f318(x94713,f318(f318(f155(x94712),x94714),f704(x94714,x94712,x94713,x94711))))+P1(f318(f318(f226(a898),x94711),f318(f180(f899(x94712)),f168(x94712,x94713,x94714))))+~P1(f318(f318(f226(a898),x94711),f318(f180(f899(x94712)),x94714)))
% 182.43/182.07 [9552]E(f318(f318(f166(x95521),f640(x95522,x95523,x95524,x95521)),x95523),f318(f318(f166(x95521),f640(x95522,x95523,x95524,x95521)),x95524))+~P1(f318(f318(f320(f904(f899(x95521),f899(x95521))),f318(f318(f243(f899(x95521),f899(x95521)),x95524),x95523)),f138(x95521,x95522)))+P1(f318(f318(f227(a898),f318(f180(f899(x95521)),x95524)),f318(f180(f899(x95521)),x95523)))
% 182.43/182.07 [9617]~P1(f318(f318(f227(a898),f2(a898)),x96173))+~P1(f318(f318(f227(a898),x96174),x96171))+P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),x96171),f40(a898,x96172,x96173))),x96174)),f318(f318(f76(a898),x96171),x96173)))
% 182.43/182.07 [9808]~P81(x98082)+~P1(f318(f318(f226(x98082),f318(x98083,f770(x98084,x98083,x98081,x98082))),f318(x98084,f770(x98084,x98083,x98081,x98082))))+P1(f318(f318(f226(f905(x98081,x98082)),x98083),x98084))
% 182.43/182.07 [9910]~P67(x99101)+E(f318(f318(f6(a898,x99101),f318(f318(f18(a898,x99101,x99101),f318(f318(f8(x99101,f905(x99101,x99101),a898),f23(x99101)),x99102)),f318(f318(f8(a898,x99101,a898),x99102),f318(f318(f7(a898,a898,a898),f75(a898)),f73(a898))))),f294(a898,x99103,x99104)),f318(f318(f23(x99101),f318(x99102,x99103)),f318(x99102,f318(f318(f75(a898),x99104),f73(a898)))))+~P1(f318(f318(f226(a898),x99103),x99104))
% 182.43/182.07 [9985]~P36(x99853,f318(f318(f280(x99853,x99853,x99853),x99852),f298(x99853,x99852)))+~P1(f318(f318(f320(f904(x99853,x99853)),f318(f318(f243(x99853,x99853),f318(x99851,f318(a103,f818(x99852,x99851,x99853)))),f318(x99851,f818(x99852,x99851,x99853)))),f298(x99853,x99852)))+E(f318(x99851,f318(f318(f75(a898),f817(x99852,x99851,x99853)),x99854)),f318(x99851,f817(x99852,x99851,x99853)))
% 182.43/182.07 [6848]~P3(x68481)+E(f318(f318(f30(x68481),f318(f318(f76(x68481),x68482),x68483)),x68484),f318(f318(f76(x68481),x68482),f318(f318(f30(x68481),x68483),x68484)))+~P1(f318(f318(f278(x68481),x68484),x68483))
% 182.43/182.07 [6935]E(f318(f318(f125(x69351),x69352),x69353),x69354)+~E(x69353,f318(f318(f129(x69351),f318(f180(f899(x69351)),x69352)),x69354))+~E(f318(f318(f166(x69351),f318(f180(f899(x69351)),x69352)),x69354),x69352)
% 182.43/182.07 [6991]~P61(x69912)+E(x69911,f2(x69912))+E(f318(f318(f282(x69912),f318(f318(f235(x69912),x69913),x69914)),f318(f318(f235(x69912),x69911),x69914)),f318(f318(f235(x69912),f318(f318(f282(x69912),x69913),x69911)),x69914))
% 182.43/182.07 [7137]~P3(x71371)+E(f318(f318(f30(x71371),f318(f318(f76(x71371),x71372),x71373)),x71374),f318(f318(f76(x71371),f318(f318(f30(x71371),x71372),x71374)),x71373))+~P1(f318(f318(f278(x71371),x71374),x71372))
% 182.43/182.07 [7145]~P102(x71451)+~P1(f318(f318(f226(x71451),x71453),x71454))+P1(f318(f318(f226(x71451),f318(f318(f92(x71451),x71452),x71453)),x71454))
% 182.43/182.07 [7146]~P102(x71461)+~P1(f318(f318(f226(x71461),x71462),x71464))+P1(f318(f318(f226(x71461),f318(f318(f92(x71461),x71462),x71463)),x71464))
% 182.43/182.07 [7148]~P82(x71481)+~P1(f318(f318(f226(x71481),x71483),x71484))+P1(f318(f318(f226(x71481),f318(f318(f224(x71481),x71482),x71483)),x71484))
% 182.43/182.07 [7150]~P82(x71501)+~P1(f318(f318(f226(x71501),x71502),x71504))+P1(f318(f318(f226(x71501),f318(f318(f224(x71501),x71502),x71503)),x71504))
% 182.43/182.07 [7151]~P102(x71511)+~P1(f318(f318(f227(x71511),x71513),x71514))+P1(f318(f318(f227(x71511),f318(f318(f92(x71511),x71512),x71513)),x71514))
% 182.43/182.07 [7152]~P102(x71521)+~P1(f318(f318(f227(x71521),x71522),x71524))+P1(f318(f318(f227(x71521),f318(f318(f92(x71521),x71522),x71523)),x71524))
% 182.43/182.07 [7154]~P82(x71541)+~P1(f318(f318(f227(x71541),x71543),x71544))+P1(f318(f318(f227(x71541),f318(f318(f224(x71541),x71542),x71543)),x71544))
% 182.43/182.07 [7156]~P82(x71561)+~P1(f318(f318(f227(x71561),x71562),x71564))+P1(f318(f318(f227(x71561),f318(f318(f224(x71561),x71562),x71563)),x71564))
% 182.43/182.07 [7179]~P1(f318(x71793,x71794))+~P1(f318(x71792,x71794))+P1(f318(f318(f318(f92(f905(x71791,a894)),x71792),x71793),x71794))
% 182.43/182.07 [7441]~P3(x74411)+E(f318(f318(f30(x74411),f318(f318(f235(x74411),x74412),x74413)),f318(f318(f235(x74411),x74414),x74413)),f318(f318(f235(x74411),f318(f318(f30(x74411),x74412),x74414)),x74413))+~P1(f318(f318(f278(x74411),x74414),x74412))
% 182.43/182.07 [7673]~P74(x76731)+E(f318(f318(f75(x76731),f318(x76732,x76733)),f318(f318(f6(a898,x76731),x76732),f318(f293(a898,f318(a103,x76733)),x76734))),f318(f318(f6(a898,x76731),x76732),f318(f293(a898,x76733),x76734)))+~P1(f318(f318(f227(a898),x76733),x76734))
% 182.43/182.07 [7691]E(x76911,x76912)+P1(f318(f318(f163(x76913),x76914),x76912))+~P1(f318(f318(f163(x76913),f318(f318(f142(x76913),x76911),x76914)),x76912))
% 182.43/182.07 [7703]~P82(x77031)+P1(f318(f318(f226(x77031),x77032),x77033))+~P1(f318(f318(f226(x77031),f318(f318(f225(x77031),x77034),x77032)),x77033))
% 182.43/182.07 [7705]~P82(x77051)+P1(f318(f318(f226(x77051),x77052),x77053))+~P1(f318(f318(f226(x77051),f318(f318(f225(x77051),x77052),x77054)),x77053))
% 182.43/182.07 [7707]~P104(x77071)+P1(f318(f318(f226(x77071),x77072),x77073))+~P1(f318(f318(f226(x77071),f318(f318(f101(x77071),x77074),x77072)),x77073))
% 182.43/182.07 [7709]~P104(x77091)+P1(f318(f318(f226(x77091),x77092),x77093))+~P1(f318(f318(f226(x77091),f318(f318(f101(x77091),x77092),x77094)),x77093))
% 182.43/182.07 [7710]~P82(x77101)+P1(f318(f318(f227(x77101),x77102),x77103))+~P1(f318(f318(f227(x77101),f318(f318(f225(x77101),x77104),x77102)),x77103))
% 182.43/182.07 [7711]~P82(x77111)+P1(f318(f318(f227(x77111),x77112),x77113))+~P1(f318(f318(f227(x77111),f318(f318(f225(x77111),x77112),x77114)),x77113))
% 182.43/182.07 [7712]~P111(x77121)+P1(f318(f318(f278(x77121),x77122),x77123))+~P1(f318(f318(f278(x77121),f318(f318(f76(x77121),x77124),x77122)),x77123))
% 182.43/182.07 [7713]~P111(x77131)+P1(f318(f318(f278(x77131),x77132),x77133))+~P1(f318(f318(f278(x77131),f318(f318(f76(x77131),x77132),x77134)),x77133))
% 182.43/182.07 [7789]~P1(f318(f318(f320(x77891),x77892),x77894))+P1(f318(f318(f320(x77891),x77892),x77893))+P1(f318(f318(f320(x77891),x77892),f318(f318(f23(f905(x77891,a894)),x77894),x77893)))
% 182.43/182.07 [7873]P1(f318(x78731,x78732))+P1(f318(x78733,x78732))+~P1(f318(f318(f318(f101(f905(x78734,a894)),x78733),x78731),x78732))
% 182.43/182.07 [7885]~P1(f318(f318(f320(x78851),x78852),x78854))+~P1(f318(f318(f320(x78851),x78852),x78853))+P1(f318(f318(f320(x78851),x78852),f318(f318(f92(f905(x78851,a894)),x78853),x78854)))
% 182.43/182.07 [7933]~P102(x79331)+~P1(f318(f28(x79331),x79334))+E(f318(f318(f58(x79331,x79331,f92(x79331)),x79332),f318(f318(f300(x79331),x79333),x79334)),f318(f318(f92(x79331),x79333),f318(f318(f58(x79331,x79331,f92(x79331)),x79332),x79334)))
% 182.43/182.07 [7934]~P104(x79341)+~P1(f318(f28(x79341),x79344))+E(f318(f318(f58(x79341,x79341,f101(x79341)),x79342),f318(f318(f300(x79341),x79343),x79344)),f318(f318(f101(x79341),x79343),f318(f318(f58(x79341,x79341,f101(x79341)),x79342),x79344)))
% 182.43/182.07 [7935]~P82(x79351)+~P1(f318(f28(x79351),x79354))+E(f318(f318(f58(x79351,x79351,f224(x79351)),x79352),f318(f318(f300(x79351),x79353),x79354)),f318(f318(f224(x79351),x79353),f318(f318(f58(x79351,x79351,f224(x79351)),x79352),x79354)))
% 182.43/182.07 [7936]~P82(x79361)+~P1(f318(f28(x79361),x79364))+E(f318(f318(f58(x79361,x79361,f225(x79361)),x79362),f318(f318(f300(x79361),x79363),x79364)),f318(f318(f225(x79361),x79363),f318(f318(f58(x79361,x79361,f225(x79361)),x79362),x79364)))
% 182.43/182.07 [7938]~P128(x79381)+~P96(x79381)+E(f318(f318(f23(x79381),f318(f318(f76(x79381),f318(f94(x79381),x79382)),x79383)),f318(f318(f76(x79381),f318(f94(x79381),x79382)),x79384)),f318(f318(f76(x79381),f318(f94(x79381),x79382)),f318(f318(f23(x79381),x79383),x79384)))
% 182.43/182.07 [7939]~P143(x79391)+~P96(x79391)+E(f318(f318(f75(x79391),f318(f318(f76(x79391),f318(f94(x79391),x79392)),x79393)),f318(f318(f76(x79391),f318(f94(x79391),x79392)),x79394)),f318(f318(f76(x79391),f318(f94(x79391),x79392)),f318(f318(f75(x79391),x79393),x79394)))
% 182.43/182.07 [8054]E(x80541,x80542)+P1(f318(f318(f320(x80543),x80541),f318(f163(x80543),x80544)))+~P1(f318(f318(f320(x80543),x80541),f318(f163(x80543),f318(f318(f142(x80543),x80542),x80544))))
% 182.43/182.07 [8225]P53(x82251,x82252,x82253)+~P53(x82251,x82252,x82254)+~P1(f318(f318(f226(f905(f904(x82251,x82252),a894)),x82253),x82254))
% 182.43/182.07 [8273]P1(f318(f318(f320(x82731),x82732),x82733))+P1(f318(f318(f320(x82731),x82732),x82734))+~P1(f318(f318(f320(x82731),x82732),f318(f318(f101(f905(x82731,a894)),x82734),x82733)))
% 182.43/182.07 [8283]~P51(x82831,x82834,x82833)+~P1(f318(f318(f320(x82831),x82832),x82834))+P1(f318(f318(f320(f904(x82831,x82831)),f318(f318(f243(x82831,x82831),x82832),x82832)),x82833))
% 182.43/182.07 [8295]~P1(f318(f28(x82952),x82954))+~P1(f318(f28(x82951),x82953))+P1(f318(f28(f904(x82951,x82952)),f318(f318(f245(x82951,x82952),x82953),f318(f16(f905(x82952,a894),x82951),x82954))))
% 182.43/182.07 [8296]~P1(f318(f318(f320(x82961),x82962),x82964))+~P1(f318(f318(f226(f905(x82961,a894)),x82963),x82964))+P1(f318(f318(f226(f905(x82961,a894)),f318(f318(f300(x82961),x82962),x82963)),x82964))
% 182.43/182.07 [8303]~P75(x83032)+~P144(x83032)+E(f318(f318(f9(x83031,x83032),f318(f318(f8(a898,x83032,x83031),f91(x83032)),x83033)),x83034),f318(f91(x83032),f318(f318(f9(x83031,a898),x83033),x83034)))
% 182.43/182.07 [8304]~P127(x83042)+~P75(x83042)+E(f318(f318(f9(x83041,x83042),f318(f318(f8(a1,x83042,x83041),f93(x83042)),x83043)),x83044),f318(f93(x83042),f318(f318(f9(x83041,a1),x83043),x83044)))
% 182.43/182.07 [8328]E(f318(f318(f23(f905(x83281,a894)),x83282),f318(f318(f23(f905(x83281,a894)),x83283),x83284)),x83284)+~P1(f318(f318(f226(f905(x83281,a894)),x83282),x83283))+~P1(f318(f318(f226(f905(x83281,a894)),x83284),x83282))
% 182.43/182.07 [8426]~P1(f318(f28(x84261),x84264))+E(f318(f318(f23(a898),f318(f318(f6(x84261,a898),x84262),x84263)),f318(f318(f6(x84261,a898),x84262),x84264)),f318(f318(f6(x84261,a898),x84262),f318(f318(f23(f905(x84261,a894)),x84263),x84264)))+~P1(f318(f318(f226(f905(x84261,a894)),x84264),x84263))
% 182.43/182.07 [8578]~P8(x85781,x85784,x85783)+~P1(f318(f318(f320(x85781),x85782),x85784))+P1(f318(f318(f320(x85781),x85782),f318(f276(x85781,x85781,x85783),f318(f318(f300(x85781),x85782),f179(f905(x85781,a894))))))
% 182.43/182.07 [8639]~P1(f318(f318(f226(f905(x86391,a894)),x86392),x86393))+~P1(f318(f318(f226(f905(x86391,a894)),x86392),x86394))+P1(f318(f318(f226(f905(x86391,a894)),x86392),f318(f318(f92(f905(x86391,a894)),x86393),x86394)))
% 182.43/182.07 [8741]E(x87411,f179(f905(x87412,a894)))+P1(f318(f28(x87413),x87414))+~P1(f318(f28(f904(x87413,x87412)),f318(f318(f245(x87413,x87412),x87414),f318(f16(f905(x87412,a894),x87413),x87411))))
% 182.43/182.07 [8742]E(x87421,f179(f905(x87422,a894)))+P1(f318(f28(x87423),x87424))+~P1(f318(f28(f904(x87422,x87423)),f318(f318(f245(x87422,x87423),x87421),f318(f16(f905(x87423,a894),x87422),x87424))))
% 182.43/182.07 [8815]P1(f318(f318(f320(x88151),x88152),f307(x88151,x88153)))+~P1(f318(f318(f320(x88151),x88154),f307(x88151,x88153)))+~P1(f318(f318(f320(f904(x88151,x88151)),f318(f318(f243(x88151,x88151),x88152),x88154)),x88153))
% 182.43/182.07 [8872]~P36(x88721,x88724)+P1(f318(f318(f320(f904(x88721,x88721)),f318(f318(f243(x88721,x88721),x88723),x88722)),f298(x88721,x88724)))+P36(x88721,f318(f318(f300(f904(x88721,x88721)),f318(f318(f243(x88721,x88721),x88722),x88723)),x88724))
% 182.43/182.07 [8873]~P56(x88731,x88734)+P1(f318(f318(f320(f904(x88731,x88731)),f318(f318(f243(x88731,x88731),x88733),x88732)),f298(x88731,x88734)))+P56(x88731,f318(f318(f300(f904(x88731,x88731)),f318(f318(f243(x88731,x88731),x88732),x88733)),x88734))
% 182.43/182.07 [8955]~E(x89552,x89553)+~P1(f318(f318(f320(x89551),x89552),f318(f163(x89551),x89554)))+P1(f318(f318(f320(f904(x89551,x89551)),f318(f318(f243(x89551,x89551),x89552),x89553)),f318(f163(f904(x89551,x89551)),f318(f318(f172(x89551,x89551),x89554),x89554))))
% 182.43/182.07 [9045]~E(x90453,x90454)+P1(f318(f318(f248(x90451,x90451,a894),a315),x90452))+~P1(f318(f318(f320(f904(x90451,x90451)),x90452),f318(f163(f904(x90451,x90451)),f318(f318(f172(x90451,x90451),x90453),x90454))))
% 182.43/182.07 [9091]P1(f318(f318(f320(f904(f899(x90911),f899(x90911))),f318(f318(f243(f899(x90911),f899(x90911)),x90912),x90913)),f138(x90911,x90914)))+~E(f318(f318(f166(x90911),f318(f180(f899(x90911)),x90912)),x90913),x90912)+~P1(f318(f318(f227(a898),f318(f180(f899(x90911)),x90912)),f318(f180(f899(x90911)),x90913)))
% 182.43/182.07 [9094]~P50(x90941,x90944)+~P1(f318(f318(f320(f904(x90941,x90941)),f318(f318(f243(x90941,x90941),x90943),x90942)),x90944))+P1(f318(f318(f320(f904(x90941,x90941)),f318(f318(f243(x90941,x90941),x90942),x90943)),x90944))
% 182.43/182.07 [9185]~P1(f318(f28(x91851),x91854))+P1(f318(f318(f320(x91851),f399(x91852,x91853,x91854,x91851)),x91854))+P1(f318(f28(x91853),f318(f318(f34(x91851,f905(x91853,a894)),x91854),x91852)))
% 182.43/182.07 [9186]~P1(f318(f28(x91861),x91864))+P1(f318(f318(f320(x91861),f440(x91862,x91863,x91864,x91861)),x91864))+P1(f318(f28(x91863),f318(f318(f34(x91861,f905(x91863,a894)),x91864),x91862)))
% 182.43/182.07 [9272]P1(f318(f318(f320(f904(x92721,x92721)),x92722),f318(f318(f280(x92721,x92721,x92721),x92723),f298(x92721,x92723))))+~P1(f318(f318(f227(a898),f2(a898)),x92724))+~P1(f318(f318(f320(f904(x92721,x92721)),x92722),f318(f318(f174(f904(x92721,x92721),a894),x92724),x92723)))
% 182.43/182.07 [9280]~P36(x92801,x92802)+~P1(f318(f318(f320(f904(x92801,x92801)),f318(f318(f243(x92801,x92801),x92804),x92803)),x92802))+~P1(f318(f318(f320(f904(x92801,x92801)),f318(f318(f243(x92801,x92801),x92803),x92804)),x92802))
% 182.43/182.07 [9409]~P1(f318(f28(x94091),x94094))+E(f318(f318(f6(x94091,a898),f318(f318(f8(f905(x94092,a894),a898,x94091),f29(x94092)),x94093)),x94094),f318(f29(f904(x94091,x94092)),f318(f318(f245(x94091,x94092),x94094),x94093)))+P1(f318(f318(f320(x94091),f506(x94093,x94092,x94094,x94091)),x94094))
% 182.43/182.07 [9413]~P1(f318(f128(x94131),x94132))+P1(f318(f128(x94131),f318(f318(f150(x94131,x94132),x94133),x94134)))+P1(f318(f318(f320(x94131),x94134),f318(f318(f23(f905(x94131,a894)),f318(f163(x94131),x94132)),f318(f318(f300(x94131),f318(f318(f155(x94131),x94132),x94133)),f179(f905(x94131,a894))))))
% 182.43/182.07 [9430]~P1(f318(f28(x94302),x94303))+~P1(f318(f28(x94301),f318(x94304,f399(x94304,x94301,x94303,x94302))))+P1(f318(f28(x94301),f318(f318(f34(x94302,f905(x94301,a894)),x94303),x94304)))
% 182.43/182.07 [9431]~P1(f318(f28(x94312),x94313))+~P1(f318(f28(x94311),f318(x94314,f440(x94314,x94311,x94313,x94312))))+P1(f318(f28(x94311),f318(f318(f34(x94312,f905(x94311,a894)),x94313),x94314)))
% 182.43/182.07 [9509]~P1(f318(f318(f320(f904(x95091,x95091)),x95092),f318(f318(f280(x95091,x95091,x95091),x95094),f298(x95091,x95094))))+P1(f318(f318(f320(f904(x95091,x95091)),x95092),f318(f318(f280(x95091,x95091,x95091),x95093),f298(x95091,x95093))))+~P1(f318(f318(f226(f905(f904(x95091,x95091),a894)),x95094),x95093))
% 182.43/182.07 [9519]E(f318(f318(f166(x95191),f640(x95194,x95193,x95192,x95191)),x95193),f318(f318(f166(x95191),f640(x95194,x95193,x95192,x95191)),x95192))+~P1(f318(f318(f320(f904(f899(x95191),f899(x95191))),f318(f318(f243(f899(x95191),f899(x95191)),x95192),x95193)),f138(x95191,x95194)))+E(f318(f318(f166(x95191),f318(f180(f899(x95191)),x95192)),x95193),x95192)
% 182.43/182.07 [9535]~P1(f318(f28(x95351),x95354))+E(f318(f318(f6(x95351,a898),f318(f318(f8(f905(x95352,a894),a898,x95351),f29(x95352)),x95353)),x95354),f318(f29(f904(x95351,x95352)),f318(f318(f245(x95351,x95352),x95354),x95353)))+~P1(f318(f28(x95352),f318(x95353,f506(x95353,x95352,x95354,x95351))))
% 182.43/182.07 [9539]~E(f318(f180(f899(x95391)),x95393),f318(f180(f899(x95391)),x95392))+P1(f318(f318(f320(f904(f899(x95391),f899(x95391))),f318(f318(f243(f899(x95391),f899(x95391)),x95392),x95393)),f149(x95391,x95394)))+P1(f318(f318(f320(f904(x95391,x95391)),f643(x95394,x95393,x95392,x95391)),f318(f163(f904(x95391,x95391)),f318(f318(f172(x95391,x95391),x95392),x95393))))
% 182.43/182.07 [9628]~P1(f318(f318(f320(f904(f899(x96281),f899(x96281))),f318(f318(f243(f899(x96281),f899(x96281)),x96282),x96283)),f138(x96281,x96284)))+E(f318(f318(f166(x96281),f318(f180(f899(x96281)),x96282)),x96283),x96282)+P1(f318(f318(f227(a898),f640(x96284,x96283,x96282,x96281)),f318(f318(f224(a898),f318(f180(f899(x96281)),x96282)),f318(f180(f899(x96281)),x96283))))
% 182.43/182.07 [9652]~P1(f318(f318(f320(f904(f899(x96521),f899(x96521))),f318(f318(f243(f899(x96521),f899(x96521)),x96522),x96523)),f138(x96521,x96524)))+P1(f318(f318(f227(a898),f318(f180(f899(x96521)),x96522)),f318(f180(f899(x96521)),x96523)))+P1(f318(f318(f227(a898),f640(x96524,x96523,x96522,x96521)),f318(f318(f224(a898),f318(f180(f899(x96521)),x96522)),f318(f180(f899(x96521)),x96523))))
% 182.43/182.07 [10052]~P1(f318(f318(f320(f904(f899(x100521),f899(x100521))),f318(f318(f243(f899(x100521),f899(x100521)),x100522),x100523)),f138(x100521,x100524)))+E(f318(f318(f166(x100521),f318(f180(f899(x100521)),x100522)),x100523),x100522)+P1(f318(f318(f320(f904(x100521,x100521)),f318(f318(f243(x100521,x100521),f318(f318(f155(x100521),x100522),f640(x100524,x100523,x100522,x100521))),f318(f318(f155(x100521),x100523),f640(x100524,x100523,x100522,x100521)))),x100524))
% 182.43/182.07 [10053]~P1(f318(f318(f320(f904(f899(x100531),f899(x100531))),f318(f318(f243(f899(x100531),f899(x100531)),x100532),x100533)),f138(x100531,x100534)))+P1(f318(f318(f227(a898),f318(f180(f899(x100531)),x100532)),f318(f180(f899(x100531)),x100533)))+P1(f318(f318(f320(f904(x100531,x100531)),f318(f318(f243(x100531,x100531),f318(f318(f155(x100531),x100532),f640(x100534,x100533,x100532,x100531))),f318(f318(f155(x100531),x100533),f640(x100534,x100533,x100532,x100531)))),x100534))
% 182.43/182.07 [10120]~E(f318(f180(f899(x101201)),x101202),f318(f180(f899(x101201)),x101203))+P1(f318(f318(f320(f904(f899(x101201),f899(x101201))),f318(f318(f243(f899(x101201),f899(x101201)),x101202),x101203)),f149(x101201,x101204)))+~P1(f318(f318(f320(f904(x101201,x101201)),f318(f318(f243(x101201,x101201),f318(f318(f155(x101201),x101202),f635(x101204,x101203,x101202,x101201))),f318(f318(f155(x101201),x101203),f635(x101204,x101203,x101202,x101201)))),x101204))
% 182.43/182.07 [10267]~P74(x102671)+~P1(f318(f28(x102672),x102674))+E(f318(f156(x102671),f318(f318(f145(x102672,x102671),x102673),f85(f899(x102672),f318(f318(f18(f899(x102672),a894,a894),f318(f318(f8(a894,f905(a894,a894),f899(x102672)),a316),f318(f318(f7(f899(x102672),f905(x102672,a894),a894),f318(f318(f8(f905(x102672,a894),f905(f905(x102672,a894),a894),f899(x102672)),a315),f163(x102672))),x102674))),f128(x102672))))),f222(x102672,x102671,x102673,x102674))
% 182.43/182.07 [7522]~P60(x75222)+E(x75221,f2(x75222))+E(f318(f318(f282(x75222),f318(f318(f75(x75222),x75223),f318(f318(f76(x75222),x75224),x75221))),x75221),f318(f318(f75(x75222),x75224),f318(f318(f282(x75222),x75223),x75221)))
% 182.43/182.07 [7523]~P3(x75232)+E(x75231,f2(x75232))+E(f318(f318(f30(x75232),f318(f318(f75(x75232),x75233),f318(f318(f76(x75232),x75234),x75231))),x75231),f318(f318(f75(x75232),x75234),f318(f318(f30(x75232),x75233),x75231)))
% 182.43/182.07 [7524]~P3(x75242)+E(x75241,f2(x75242))+E(f318(f318(f30(x75242),f318(f318(f75(x75242),x75243),f318(f318(f76(x75242),x75241),x75244))),x75241),f318(f318(f75(x75242),x75244),f318(f318(f30(x75242),x75243),x75241)))
% 182.43/182.07 [7752]~P61(x77522)+E(x77521,f2(x77522))+E(f318(f318(f282(x77522),f318(f318(f23(x77522),x77523),f318(f318(f76(x77522),x77521),x77524))),x77521),f318(f318(f23(x77522),f318(f318(f282(x77522),x77523),x77521)),x77524))
% 182.43/182.07 [7753]~P60(x77532)+E(x77531,f2(x77532))+E(f318(f318(f282(x77532),f318(f318(f75(x77532),x77533),f318(f318(f76(x77532),x77534),x77531))),x77531),f318(f318(f75(x77532),f318(f318(f282(x77532),x77533),x77531)),x77534))
% 182.43/182.07 [7754]~P61(x77542)+E(x77541,f2(x77542))+E(f318(f318(f282(x77542),f318(f318(f75(x77542),x77543),f318(f318(f76(x77542),x77541),x77544))),x77541),f318(f318(f75(x77542),f318(f318(f282(x77542),x77543),x77541)),x77544))
% 182.43/182.07 [8458]~P1(f318(f151(x84581,x84583),x84584))+~P1(f318(f151(x84581,x84582),x84584))+P1(f318(f151(x84581,f318(f318(f92(f905(x84581,a894)),x84582),x84583)),x84584))
% 182.43/182.07 [8830]~E(f318(f318(f280(x88301,x88301,x88301),x88302),x88304),f179(f905(f904(x88301,x88301),a894)))+~E(f318(f318(f280(x88301,x88301,x88301),x88302),x88303),f179(f905(f904(x88301,x88301),a894)))+E(f318(f318(f280(x88301,x88301,x88301),x88302),f318(f318(f101(f905(f904(x88301,x88301),a894)),x88303),x88304)),f179(f905(f904(x88301,x88301),a894)))
% 182.43/182.07 [8956]~P1(f318(f318(f226(f905(x89561,a894)),x89563),x89564))+~P1(f318(f318(f226(f905(x89561,a894)),x89562),x89564))+P1(f318(f318(f226(f905(x89561,a894)),f318(f318(f101(f905(x89561,a894)),x89562),x89563)),x89564))
% 182.43/182.07 [9336]~P1(f318(f28(x93361),x93364))+~P1(f318(f28(x93361),x93363))+E(f318(f318(f23(a898),f318(f318(f75(a898),f318(f318(f6(x93361,a898),x93362),x93363)),f318(f318(f6(x93361,a898),x93362),x93364))),f318(f318(f6(x93361,a898),x93362),f318(f318(f92(f905(x93361,a894)),x93363),x93364))),f318(f318(f6(x93361,a898),x93362),f318(f318(f101(f905(x93361,a894)),x93363),x93364)))
% 182.43/182.07 [9427]~P1(f318(f318(f320(x94271),x94273),x94272))+~P1(f318(f318(f226(f905(x94271,a894)),x94272),f318(f318(f300(x94271),x94273),x94274)))+P1(f318(f318(f226(f905(x94271,a894)),f318(f318(f23(f905(x94271,a894)),x94272),f318(f318(f300(x94271),x94273),f179(f905(x94271,a894))))),x94274))
% 182.43/182.07 [9603]~P1(f318(f318(f320(x96031),x96033),x96032))+P1(f318(f318(f226(f905(x96031,a894)),x96032),f318(f318(f300(x96031),x96033),x96034)))+~P1(f318(f318(f226(f905(x96031,a894)),f318(f318(f23(f905(x96031,a894)),x96032),f318(f318(f300(x96031),x96033),f179(f905(x96031,a894))))),x96034))
% 182.43/182.07 [9692]~P1(f318(f318(f226(a898),x96921),x96923))+~P1(f318(f318(f227(a898),x96922),x96924))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x96921),x96922)),f318(f318(f243(a898,a898),x96923),x96924))),a26))
% 182.43/182.07 [9693]~P1(f318(f318(f226(a898),x96932),x96934))+~P1(f318(f318(f226(a898),x96931),x96933))+P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),f318(f318(f243(a898,a898),x96931),x96932)),f318(f318(f243(a898,a898),x96933),x96934))),a65))
% 182.43/182.07 [9983]~P1(f318(f318(f320(f899(x99831)),x99834),f152(x99831,x99833)))+~P1(f318(f318(f320(f899(x99831)),x99834),f152(x99831,x99832)))+P1(f318(f151(x99831,f318(f318(f92(f905(x99831,a894)),f318(f318(f7(x99831,f905(x99831,a894),a894),f320(x99831)),x99832)),f318(f318(f7(x99831,f905(x99831,a894),a894),f320(x99831)),x99833))),x99834))
% 182.43/182.07 [10086]~P24(x100861,f905(f905(x100861,a894),a894),f318(f318(f7(x100861,f905(f904(x100861,x100861),a894),f905(f905(x100861,a894),a894)),f318(f318(f8(f905(x100861,a894),f905(f905(f904(x100861,x100861),a894),f905(f905(x100861,a894),a894)),x100861),f55(x100861)),f318(f318(f7(x100861,f905(x100861,a894),f905(x100861,a894)),f300(x100861)),f179(f905(x100861,a894))))),x100863),x100862)+~P1(f318(f318(f320(x100861),x100864),x100862))+E(f318(f318(f23(f905(f905(x100861,a894),a894)),f318(f318(f55(x100861),x100862),x100863)),f318(f318(f55(x100861),f318(f318(f300(x100861),x100864),f179(f905(x100861,a894)))),x100863)),f318(f318(f55(x100861),f318(f318(f23(f905(x100861,a894)),x100862),f318(f318(f300(x100861),x100864),f179(f905(x100861,a894))))),x100863))
% 182.43/182.07 [10221]~P51(x102211,x102212,x102214)+~P1(f318(f318(f320(f904(x102211,x102211)),x102213),x102214))+P1(f318(f318(f248(x102211,x102211,a894),f318(f318(f7(x102211,f905(x102211,a894),f905(x102211,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x102211,a894),f905(x102211,a894)),x102211),f8(a894,a894,x102211)),f318(f318(f8(a894,f905(a894,a894),x102211),a316),f318(f318(f7(x102211,f905(x102211,a894),a894),f320(x102211)),x102212)))),f318(f318(f7(x102211,f905(x102211,a894),a894),f320(x102211)),x102212))),x102213))
% 182.43/182.07 [10233]P1(f318(f28(x102331),x102332))+~P1(f318(f28(x102333),f318(f301(x102331,x102333,x102334),x102332)))+~P1(f318(f28(x102331),f318(f253(x102331),f318(f318(f18(x102331,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102331),a316),f318(f318(f7(x102331,f905(x102331,a894),a894),f320(x102331)),x102332))),f318(f318(f7(x102331,x102333,a894),f318(f318(f8(x102333,f905(x102333,a894),x102331),a315),x102334)),f318(x102334,f400(x102334,x102333,x102332,x102331)))))))
% 182.43/182.07 [8209]~P61(x82092)+E(x82091,f2(x82092))+E(f318(f318(f282(x82092),f318(f318(f23(x82092),f318(f318(f76(x82092),x82091),x82093)),x82094)),x82091),f318(f318(f23(x82092),x82093),f318(f318(f282(x82092),x82094),x82091)))
% 182.43/182.07 [8210]~P61(x82102)+E(x82101,f2(x82102))+E(f318(f318(f282(x82102),f318(f318(f75(x82102),f318(f318(f76(x82102),x82101),x82103)),x82104)),x82101),f318(f318(f75(x82102),x82103),f318(f318(f282(x82102),x82104),x82101)))
% 182.43/182.07 [9120]~E(f318(f318(f280(x91201,x91201,x91201),x91203),x91204),f179(f905(f904(x91201,x91201),a894)))+~E(f318(f318(f280(x91201,x91201,x91201),x91202),x91204),f179(f905(f904(x91201,x91201),a894)))+E(f318(f318(f280(x91201,x91201,x91201),f318(f318(f101(f905(f904(x91201,x91201),a894)),x91202),x91203)),x91204),f179(f905(f904(x91201,x91201),a894)))
% 182.43/182.07 [9900]~P1(f318(f151(x99001,x99003),x99004))+~P1(f318(f151(x99001,x99002),x99004))+P1(f318(f151(x99001,f318(f318(f18(x99001,a894,a894),f318(f318(f8(a894,f905(a894,a894),x99001),a316),x99002)),x99003)),x99004))
% 182.43/182.07 [10159]P1(f318(x101591,f396(x101592,x101593,x101591,x101594)))+~P1(f318(f28(x101594),f318(f253(x101594),x101591)))+P1(f318(f28(x101593),f318(f253(x101593),f318(f318(f8(f905(x101594,a894),a894,x101593),f82(x101594)),f318(f318(f8(f905(x101594,a894),f905(x101594,a894),x101593),f318(f18(x101594,a894,a894),f318(f318(f8(a894,f905(a894,a894),x101594),a316),x101591))),x101592)))))
% 182.43/182.07 [10177]~P1(f318(f28(x101772),f318(f253(x101772),x101773)))+~P1(f318(f28(x101771),f318(f253(x101771),f318(f318(f7(x101771,x101772,a894),x101774),f396(x101774,x101771,x101773,x101772)))))+P1(f318(f28(x101771),f318(f253(x101771),f318(f318(f8(f905(x101772,a894),a894,x101771),f82(x101772)),f318(f318(f8(f905(x101772,a894),f905(x101772,a894),x101771),f318(f18(x101772,a894,a894),f318(f318(f8(a894,f905(a894,a894),x101772),a316),x101773))),x101774)))))
% 182.43/182.07 [10246]~P1(f318(f28(x102461),x102464))+P1(f318(f318(f320(x102461),f774(x102462,x102463,x102464,x102461)),x102464))+P1(f318(f28(x102463),f318(f253(x102463),f318(f318(f8(f905(x102461,a894),a894,x102463),f82(x102461)),f318(f318(f8(f905(x102461,a894),f905(x102461,a894),x102463),f318(f18(x102461,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102461),a316),f318(f318(f7(x102461,f905(x102461,a894),a894),f320(x102461)),x102464)))),x102462)))))
% 182.43/182.07 [10252]~P1(f318(f28(x102522),x102523))+~P1(f318(f28(x102521),f318(f253(x102521),f318(f318(f7(x102521,x102522,a894),x102524),f774(x102524,x102521,x102523,x102522)))))+P1(f318(f28(x102521),f318(f253(x102521),f318(f318(f8(f905(x102522,a894),a894,x102521),f82(x102522)),f318(f318(f8(f905(x102522,a894),f905(x102522,a894),x102521),f318(f18(x102522,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102522),a316),f318(f318(f7(x102522,f905(x102522,a894),a894),f320(x102522)),x102523)))),x102524)))))
% 182.43/182.07 [5104]~E(x51042,x51044)+E(f160(x51041,x51042,x51043),f160(x51041,x51044,x51045))+~E(x51042,f2(a898))
% 182.43/182.07 [5351]E(x53511,x53512)+~E(f160(x53514,x53513,x53511),f160(x53514,x53515,x53512))+E(x53513,f2(a898))
% 182.43/182.07 [6645]E(x66451,x66452)+~E(f318(x66453,x66451),f318(x66453,x66452))+~P24(x66454,x66455,x66453,f233(f905(x66454,a894)))
% 182.43/182.07 [7554]E(x75541,x75542)+~P24(x75543,x75544,x75545,f233(f905(x75543,a894)))+~E(f318(f301(x75543,x75544,x75545),x75541),f318(f301(x75543,x75544,x75545),x75542))
% 182.43/182.07 [7807]P24(x78072,x78073,f472(x78074,x78073,x78072,x78071),x78071)+~E(f318(f301(x78073,x78072,x78075),x78074),x78071)+E(x78071,f179(f905(x78072,a894)))
% 182.43/182.07 [8339]~P1(f318(f318(x83393,x83392),x83395))+~P1(f318(f318(x83393,x83394),x83392))+P1(f318(f318(f320(x83391),x83392),f290(x83391,x83393,x83394,x83395)))
% 182.43/182.07 [8340]~P1(f318(f318(x83403,x83402),x83405))+~P1(f318(f318(x83403,x83404),x83402))+P1(f318(f318(f320(x83401),x83402),f281(x83401,x83403,x83404,x83405)))
% 182.43/182.08 [8647]~P24(x86471,x86472,x86473,x86474)+P25(x86471,x86472,x86473,x86474,x86475)+~E(f318(f301(x86471,x86472,x86473),x86474),x86475)
% 182.43/182.08 [8780]~P25(x87801,x87803,x87804,x87802,x87805)+~P1(f318(f28(x87803),x87805))+P1(f318(f28(x87801),x87802))
% 182.43/182.08 [8781]~P25(x87813,x87811,x87814,x87815,x87812)+~P1(f318(f28(x87813),x87815))+P1(f318(f28(x87811),x87812))
% 182.43/182.08 [8913]~P24(x89131,x89133,x89135,f233(f905(x89131,a894)))+~P24(x89133,x89132,x89134,f233(f905(x89133,a894)))+P24(x89131,x89132,f318(f67(x89133,x89132,x89131,x89134),x89135),f233(f905(x89131,a894)))
% 182.43/182.08 [9486]P1(f318(f318(f320(f904(x94861,x94861)),f318(f318(f243(x94861,x94861),x94862),x94863)),f298(x94861,x94864)))+~P1(f318(f318(f320(f904(x94861,x94861)),f318(f318(f243(x94861,x94861),x94862),x94865)),f298(x94861,x94864)))+~P1(f318(f318(f320(f904(x94861,x94861)),f318(f318(f243(x94861,x94861),x94865),x94863)),f298(x94861,x94864)))
% 182.43/182.08 [9526]~P82(x95262)+~P1(f318(f128(x95261),x95265))+P1(f318(f128(x95261),f140(x95261,x95262,x95263,x95264,x95265)))
% 182.43/182.08 [5428]~E(x54282,f104(x54281))+E(f318(f318(f125(x54281),x54282),x54283),f318(f318(f142(x54281),x54284),x54285))+~E(x54283,f318(f318(f142(x54281),x54284),x54285))
% 182.43/182.08 [5429]~E(x54292,f104(x54291))+E(f318(f318(f125(x54291),x54292),x54293),f318(f318(f142(x54291),x54294),x54295))+~E(f318(f318(f142(x54291),x54294),x54295),x54293)
% 182.43/182.08 [6601]~E(f318(f180(f899(x66011)),x66015),f318(f180(f899(x66012)),x66014))+E(f318(f318(f145(f904(x66011,x66012),x66012),f247(x66011,x66012)),x66013),x66014)+~E(f318(f318(f172(x66011,x66012),x66015),x66014),x66013)
% 182.43/182.08 [6602]~E(f318(f180(f899(x66021)),x66024),f318(f180(f899(x66022)),x66025))+E(f318(f318(f145(f904(x66021,x66022),x66021),f242(x66021,x66022)),x66023),x66024)+~E(f318(f318(f172(x66021,x66022),x66024),x66025),x66023)
% 182.43/182.08 [7090]~P82(x70901)+~P13(x70901,f318(f318(f145(x70902,x70901),x70903),x70905))+P13(x70901,f318(f318(f145(x70902,x70901),x70903),f318(f127(x70902,x70904),x70905)))
% 182.43/182.08 [7232]~P82(x72321)+P13(x72321,f318(f318(f145(x72322,x72321),x72323),f161(x72322,x72324,x72325)))+~P13(x72321,f318(f318(f145(x72322,x72321),x72323),x72325))
% 182.43/182.08 [7255]~P53(x72553,x72552,x72555)+~P53(x72551,x72553,x72554)+P53(x72551,x72552,f318(f318(f280(x72551,x72553,x72552),x72554),x72555))
% 182.43/182.08 [7350]E(x73501,x73502)+~P24(x73503,x73504,x73505,f233(f905(x73503,a894)))+~E(f318(f318(f145(x73503,x73504),x73505),x73501),f318(f318(f145(x73503,x73504),x73505),x73502))
% 182.43/182.08 [7509]~P1(f318(f318(f226(a898),x75091),f318(x75093,x75095)))+P1(f318(f318(f226(a898),x75091),f146(x75092,x75093,x75094)))+~P1(f318(f318(f320(x75092),x75095),f318(f163(x75092),x75094)))
% 182.43/182.08 [7510]~P1(f318(f318(f227(a898),x75101),f318(x75103,x75105)))+P1(f318(f318(f227(a898),x75101),f146(x75102,x75103,x75104)))+~P1(f318(f318(f320(x75102),x75105),f318(f163(x75102),x75104)))
% 182.43/182.08 [7904]P1(f318(x79041,x79042))+~P1(f318(x79041,x79043))+~P1(f318(f318(f320(x79044),x79042),f318(f163(x79044),f160(x79044,x79045,x79043))))
% 182.43/182.08 [7905]P1(f318(x79051,x79052))+~P1(f318(x79051,x79053))+~P1(f318(f318(f320(x79054),x79053),f318(f163(x79054),f160(x79054,x79055,x79052))))
% 182.43/182.08 [7910]~P108(x79101)+P1(f318(f318(f226(f905(x79101,a894)),f294(x79101,x79102,x79103)),f294(x79101,x79104,x79105)))+P1(f318(f318(f226(x79101),x79102),x79103))
% 182.43/182.08 [7931]~P5(x79311)+P1(f318(f318(f226(x79311),f318(f318(f35(x79312,x79311),x79313),x79314)),f318(x79314,x79315)))+~P1(f318(f318(f320(x79312),x79315),x79313))
% 182.43/182.08 [8000]~P24(x80001,x80002,x80004,x80003)+E(f318(f72(x80001,x80002,x80003,x80004),f318(x80004,x80005)),x80005)+~P1(f318(f318(f320(x80001),x80005),x80003))
% 182.43/182.08 [8001]~P24(x80011,x80012,x80014,x80013)+E(f318(f86(x80011,x80012,x80013,x80014),f318(x80014,x80015)),x80015)+~P1(f318(f318(f320(x80011),x80015),x80013))
% 182.43/182.08 [8198]~P1(f318(x81981,x81985))+P1(f318(x81981,f499(x81981,x81982,x81983,x81984)))+~P1(f318(f318(f320(x81984),x81985),x81983))
% 182.43/182.08 [8199]~P1(f318(x81991,x81995))+P1(f318(x81991,f499(x81991,x81992,x81993,x81994)))+~P1(f318(f318(f320(x81994),x81995),x81992))
% 182.43/182.08 [8293]P1(f318(f28(x82931),x82932))+~P1(f318(f28(x82933),x82934))+~P1(f318(f318(f226(f905(x82931,a894)),x82932),f318(f301(x82933,x82931,x82935),x82934)))
% 182.43/182.08 [8462]E(x84621,x84622)+~P24(x84623,x84624,x84625,f318(f318(f101(f905(x84623,a894)),f318(f163(x84623),x84621)),f318(f163(x84623),x84622)))+~E(f318(f318(f145(x84623,x84624),x84625),x84621),f318(f318(f145(x84623,x84624),x84625),x84622))
% 182.43/182.08 [8515]~P108(x85151)+~P1(f318(f318(f227(f905(x85151,a894)),f294(x85151,x85154,x85155)),f294(x85151,x85152,x85153)))+P1(f318(f318(f226(x85151),x85152),x85153))
% 182.43/182.08 [8577]~P24(x85771,x85774,x85775,f233(f905(x85771,a894)))+~P1(f318(f318(f320(x85774),f318(x85775,x85772)),f318(f301(x85771,x85774,x85775),x85773)))+P1(f318(f318(f320(x85771),x85772),x85773))
% 182.43/182.08 [8653]P1(f318(x86531,x86532))+~P1(f318(x86531,f504(x86531,x86533,x86534,x86535)))+~P1(f318(f318(f320(x86535),x86532),x86534))
% 182.43/182.08 [8654]P1(f318(x86541,x86542))+~P1(f318(x86541,f504(x86541,x86543,x86544,x86545)))+~P1(f318(f318(f320(x86545),x86542),x86543))
% 182.43/182.08 [8953]~P24(x89532,x89533,x89531,x89534)+E(f318(x89531,f318(f72(x89532,x89533,x89534,x89531),x89535)),x89535)+~P1(f318(f318(f320(x89533),x89535),f318(f301(x89532,x89533,x89531),x89534)))
% 182.43/182.08 [9060]E(x90601,f104(x90602))+E(f318(f318(f142(x90602),x90603),f658(x90604,x90603,x90605,x90601,x90602)),x90601)+~E(f318(f318(f125(x90602),x90601),x90605),f318(f318(f142(x90602),x90603),x90604))
% 182.43/182.08 [9061]E(x90611,f104(x90612))+E(f318(f318(f142(x90612),x90613),f659(x90614,x90611,x90615,x90613,x90612)),x90611)+~E(f318(f318(f125(x90612),x90611),x90614),f318(f318(f142(x90612),x90613),x90615))
% 182.43/182.08 [9079]E(f318(f318(f142(x90792),x90793),f658(x90794,x90793,x90791,x90795,x90792)),x90795)+~E(f318(f318(f125(x90792),x90795),x90791),f318(f318(f142(x90792),x90793),x90794))+E(x90791,f318(f318(f142(x90792),x90793),x90794))
% 182.43/182.08 [9080]E(f318(f318(f142(x90801),x90802),f659(x90804,x90805,x90803,x90802,x90801)),x90805)+~E(f318(f318(f125(x90801),x90805),x90804),f318(f318(f142(x90801),x90802),x90803))+E(f318(f318(f142(x90801),x90802),x90803),x90804)
% 182.43/182.08 [9156]~E(f318(f301(x91563,x91562,x91564),f233(f905(x91563,a894))),f233(f905(x91562,a894)))+~E(f318(f301(x91561,x91563,x91565),f233(f905(x91561,a894))),f233(f905(x91563,a894)))+E(f318(f301(x91561,x91562,f318(f67(x91563,x91562,x91561,x91564),x91565)),f233(f905(x91561,a894))),f233(f905(x91562,a894)))
% 182.43/182.08 [9532]E(x95321,f104(x95322))+~E(f318(f318(f125(x95322),x95321),x95323),f318(f318(f142(x95322),x95325),x95324))+E(f318(f318(f125(x95322),f659(x95323,x95321,x95324,x95325,x95322)),x95323),x95324)
% 182.43/182.08 [9533]E(x95331,f104(x95332))+~E(f318(f318(f125(x95332),x95331),x95335),f318(f318(f142(x95332),x95334),x95333))+E(f318(f318(f125(x95332),f658(x95333,x95334,x95335,x95331,x95332)),x95335),x95333)
% 182.43/182.08 [9540]E(f318(f318(f125(x95402),f658(x95404,x95403,x95401,x95405,x95402)),x95401),x95404)+~E(f318(f318(f125(x95402),x95405),x95401),f318(f318(f142(x95402),x95403),x95404))+E(x95401,f318(f318(f142(x95402),x95403),x95404))
% 182.43/182.08 [9541]~E(f318(f318(f125(x95411),x95415),x95414),f318(f318(f142(x95411),x95412),x95413))+E(f318(f318(f125(x95411),f659(x95414,x95415,x95413,x95412,x95411)),x95414),x95413)+E(f318(f318(f142(x95411),x95412),x95413),x95414)
% 182.43/182.08 [9542]E(f318(f318(f125(x95421),x95425),f663(x95423,x95422,x95424,x95425,x95421)),x95422)+E(f318(f318(f125(x95421),x95422),f662(x95423,x95422,x95424,x95425,x95421)),x95425)+~E(f318(f318(f125(x95421),x95425),x95424),f318(f318(f125(x95421),x95422),x95423))
% 182.43/182.08 [9579]~P82(x95791)+P13(x95791,f318(f318(f145(x95792,x95791),x95793),f140(x95792,x95791,x95793,x95794,x95795)))+~P13(x95791,f318(f318(f145(x95792,x95791),x95793),x95795))
% 182.43/182.08 [9598]~P57(x95985,x95981,x95984,x95983)+P1(f318(f318(x95981,x95982),f488(x95983,x95984,x95981,x95985,x95982)))+~P1(f318(f318(f320(x95985),x95982),x95984))
% 182.43/182.08 [9599]~P57(x95995,x95991,x95994,x95993)+P1(f318(f318(x95991,x95992),f779(x95993,x95994,x95991,x95995,x95992)))+~P1(f318(f318(f320(x95995),x95992),x95994))
% 182.43/182.08 [9704]~P1(f318(f318(f320(f904(x97041,x97041)),f318(f318(f243(x97041,x97041),x97045),x97043)),f298(x97041,x97044)))+P1(f318(f318(f320(f904(x97041,x97041)),f318(f318(f243(x97041,x97041),x97042),x97043)),f318(f318(f280(x97041,x97041,x97041),x97044),f298(x97041,x97044))))+~P1(f318(f318(f320(f904(x97041,x97041)),f318(f318(f243(x97041,x97041),x97042),x97045)),f318(f318(f280(x97041,x97041,x97041),x97044),f298(x97041,x97044))))
% 182.43/182.08 [9705]~P1(f318(f318(f320(f904(x97051,x97051)),f318(f318(f243(x97051,x97051),x97052),x97055)),f298(x97051,x97054)))+P1(f318(f318(f320(f904(x97051,x97051)),f318(f318(f243(x97051,x97051),x97052),x97053)),f318(f318(f280(x97051,x97051,x97051),x97054),f298(x97051,x97054))))+~P1(f318(f318(f320(f904(x97051,x97051)),f318(f318(f243(x97051,x97051),x97055),x97053)),f318(f318(f280(x97051,x97051,x97051),x97054),f298(x97051,x97054))))
% 182.43/182.08 [9707]P1(f318(f318(f320(f904(f899(x97071),f899(x97071))),f318(f318(f243(f899(x97071),f899(x97071)),x97072),x97073)),f149(x97071,f298(x97071,x97074))))+~P1(f318(f318(f320(f904(f899(x97071),f899(x97071))),f318(f318(f243(f899(x97071),f899(x97071)),x97072),x97075)),f149(x97071,f298(x97071,x97074))))+~P1(f318(f318(f320(f904(f899(x97071),f899(x97071))),f318(f318(f243(f899(x97071),f899(x97071)),x97075),x97073)),f149(x97071,f298(x97071,x97074))))
% 182.43/182.08 [9711]E(f318(f318(f125(x97111),x97112),f662(x97113,x97112,x97114,x97115,x97111)),x97115)+E(f318(f318(f125(x97111),f663(x97113,x97112,x97114,x97115,x97111)),x97113),x97114)+~E(f318(f318(f125(x97111),x97112),x97113),f318(f318(f125(x97111),x97115),x97114))
% 182.43/182.08 [9712]E(f318(f318(f125(x97121),x97122),f663(x97123,x97124,x97125,x97122,x97121)),x97124)+E(f318(f318(f125(x97121),f662(x97123,x97124,x97125,x97122,x97121)),x97125),x97123)+~E(f318(f318(f125(x97121),x97122),x97125),f318(f318(f125(x97121),x97124),x97123))
% 182.43/182.08 [9766]P1(f318(f318(f320(f904(x97661,x97661)),f318(f318(f243(x97661,x97661),x97662),x97663)),f318(f318(f280(x97661,x97661,x97661),x97664),f298(x97661,x97664))))+~P1(f318(f318(f320(f904(x97661,x97661)),f318(f318(f243(x97661,x97661),x97662),x97665)),f318(f318(f280(x97661,x97661,x97661),x97664),f298(x97661,x97664))))+~P1(f318(f318(f320(f904(x97661,x97661)),f318(f318(f243(x97661,x97661),x97665),x97663)),f318(f318(f280(x97661,x97661,x97661),x97664),f298(x97661,x97664))))
% 182.43/182.08 [9793]P33(x97931,x97932,x97933,x97934,x97935)+~E(f318(f180(f899(x97931)),x97934),f318(f180(f899(x97932)),x97935))+~P1(f318(f318(f248(x97931,x97932,a894),x97933),f679(x97935,x97934,x97933,x97932,x97931)))
% 182.43/182.08 [9794]P33(x97941,x97942,x97943,x97944,x97945)+~E(f318(f180(f899(x97941)),x97944),f318(f180(f899(x97942)),x97945))+~P1(f318(f318(f248(x97941,x97942,a894),x97943),f680(x97943,x97945,x97944,x97942,x97941)))
% 182.43/182.08 [9799]E(f318(f318(f125(x97991),f662(x97992,x97993,x97994,x97995,x97991)),x97994),x97992)+~E(f318(f318(f125(x97991),x97993),x97992),f318(f318(f125(x97991),x97995),x97994))+E(f318(f318(f125(x97991),f663(x97992,x97993,x97994,x97995,x97991)),x97992),x97994)
% 182.43/182.08 [9814]~P82(x98142)+E(f318(f318(f139(x98141,x98142,x98143),x98144),x98145),f318(f318(f142(x98141),x98144),x98145))+P1(f318(f318(f320(x98141),f723(x98144,x98143,x98145,x98141,x98142)),f318(f163(x98141),x98145)))
% 182.43/182.08 [9818]~P57(x98181,x98184,x98183,x98182)+~P1(f318(f318(f320(x98181),x98185),x98183))+P1(f318(f318(f320(x98181),f488(x98182,x98183,x98184,x98181,x98185)),x98182))
% 182.43/182.08 [9819]~P57(x98191,x98194,x98193,x98192)+~P1(f318(f318(f320(x98191),x98195),x98193))+P1(f318(f318(f320(x98191),f779(x98192,x98193,x98194,x98191,x98195)),x98192))
% 182.43/182.08 [9933]~P1(f318(f318(f320(f904(f905(x99331,a894),f905(x99331,a894))),f318(f318(f243(f905(x99331,a894),f905(x99331,a894)),x99334),x99333)),f309(x99331,x99332)))+~P1(f318(f318(f320(x99331),x99335),x99334))+P1(f318(f318(f320(x99331),f552(x99332,x99333,x99334,x99331,x99335)),x99333))
% 182.43/182.08 [9943]~P82(x99432)+E(f318(f318(f139(x99431,x99432,x99433),x99434),x99435),f318(f318(f142(x99431),x99434),x99435))+~P1(f318(f318(f226(x99432),f318(x99433,x99434)),f318(x99433,f723(x99434,x99433,x99435,x99431,x99432))))
% 182.43/182.08 [9992]~P24(x99923,x99924,x99925,f233(f905(x99923,a894)))+P1(f318(x99921,x99922))+~P1(f318(x99921,f318(f86(x99923,x99924,f233(f905(x99923,a894)),x99925),f793(x99922,x99921,x99925,x99924,x99923))))
% 182.43/182.08 [10137]P33(x101371,x101372,x101373,x101374,x101375)+~E(f318(f180(f899(x101371)),x101374),f318(f180(f899(x101372)),x101375))+~P1(f318(f318(x101373,f318(f318(f155(x101371),x101374),f681(x101375,x101374,x101373,x101372,x101371))),f318(f318(f155(x101372),x101375),f681(x101375,x101374,x101373,x101372,x101371))))
% 182.43/182.08 [10138]P33(x101381,x101382,x101383,x101384,x101385)+~E(f318(f180(f899(x101381)),x101384),f318(f180(f899(x101382)),x101385))+~P1(f318(f318(x101383,f318(f318(f155(x101381),x101384),f716(x101383,x101385,x101382,x101384,x101381))),f318(f318(f155(x101382),x101385),f716(x101383,x101385,x101382,x101384,x101381))))
% 182.43/182.08 [6676]~P17(x66762,x66765,x66761)+~P1(f318(f28(x66762),x66764))+E(f318(x66761,f318(f318(f300(x66762),x66763),x66764)),f318(f318(f58(x66762,x66762,x66765),x66763),x66764))
% 182.43/182.08 [6677]~E(x66773,x66774)+~E(x66772,x66775)+E(f318(f318(f300(x66771),x66772),f318(f318(f300(x66771),x66773),f179(f905(x66771,a894)))),f318(f318(f300(x66771),x66774),f318(f318(f300(x66771),x66775),f179(f905(x66771,a894)))))
% 182.43/182.08 [6688]P1(f318(x66882,x66885))+E(f168(x66881,x66882,f318(f318(f125(x66881),x66883),x66884)),f168(x66881,x66882,x66883))+~P1(f318(f318(f320(x66881),x66885),f318(f163(x66881),x66883)))
% 182.43/182.08 [6726]E(f318(x67261,x67262),f179(f905(x67263,a894)))+~E(f318(f318(f34(x67264,f905(x67263,a894)),x67265),x67261),f179(f905(x67263,a894)))+~P1(f318(f318(f320(x67264),x67262),x67265))
% 182.43/182.08 [6727]E(f318(x67271,x67272),f233(f905(x67273,a894)))+~E(f318(f318(f35(x67274,f905(x67273,a894)),x67275),x67271),f233(f905(x67273,a894)))+~P1(f318(f318(f320(x67274),x67272),x67275))
% 182.43/182.08 [7242]~E(x72422,x72424)+~P145(x72421)+E(f318(f318(f75(x72421),f318(f318(f76(x72421),x72422),x72423)),f318(f318(f76(x72421),x72424),x72425)),f318(f318(f75(x72421),f318(f318(f76(x72421),x72422),x72425)),f318(f318(f76(x72421),x72424),x72423)))
% 182.43/182.08 [7304]~P5(x73041)+~P1(f318(f318(f320(x73044),x73043),x73045))+P1(f318(f318(f226(x73041),f318(x73042,x73043)),f318(f318(f34(x73044,x73041),x73045),x73042)))
% 182.43/182.08 [7355]~P81(x73551)+P1(f318(f318(f226(x73551),f318(x73552,x73553)),f318(x73554,x73553)))+~P1(f318(f318(f226(f905(x73555,x73551)),x73552),x73554))
% 182.43/182.08 [7478]E(x74781,x74782)+E(x74783,x74781)+~E(f318(f318(f300(x74784),x74781),f318(f318(f300(x74784),x74785),f179(f905(x74784,a894)))),f318(f318(f300(x74784),x74782),f318(f318(f300(x74784),x74783),f179(f905(x74784,a894)))))
% 182.43/182.08 [7479]E(x74791,x74792)+E(x74793,x74791)+~E(f318(f318(f300(x74794),x74793),f318(f318(f300(x74794),x74792),f179(f905(x74794,a894)))),f318(f318(f300(x74794),x74795),f318(f318(f300(x74794),x74791),f179(f905(x74794,a894)))))
% 182.43/182.08 [7480]E(x74801,x74802)+E(x74801,x74803)+~E(f318(f318(f300(x74804),x74803),f318(f318(f300(x74804),x74802),f179(f905(x74804,a894)))),f318(f318(f300(x74804),x74805),f318(f318(f300(x74804),x74801),f179(f905(x74804,a894)))))
% 182.43/182.08 [7481]E(x74811,x74812)+E(x74811,x74813)+~E(f318(f318(f300(x74814),x74811),f318(f318(f300(x74814),x74815),f179(f905(x74814,a894)))),f318(f318(f300(x74814),x74812),f318(f318(f300(x74814),x74813),f179(f905(x74814,a894)))))
% 182.43/182.08 [8010]P24(x80101,x80102,x80103,x80104)+~P24(x80101,x80102,x80103,x80105)+~P1(f318(f318(f226(f905(x80101,a894)),x80104),x80105))
% 182.43/182.08 [8040]~E(f318(x80403,x80405),x80404)+~P24(x80401,x80402,x80403,f233(f905(x80401,a894)))+E(f318(f86(x80401,x80402,f233(f905(x80401,a894)),x80403),x80404),x80405)
% 182.43/182.08 [8186]E(x81861,x81862)+~E(f318(f301(x81863,x81864,x81865),x81861),f318(f301(x81863,x81864,x81865),x81862))+~P24(x81863,x81864,x81865,f318(f318(f101(f905(x81863,a894)),x81861),x81862))
% 182.43/182.08 [8263]P1(f318(x82632,x82634))+E(f318(f318(f129(x82631),f318(f180(f899(x82631)),f168(x82631,x82632,x82633))),x82633),f318(f318(f142(x82631),x82634),x82635))+~E(f318(f318(f125(x82631),f168(x82631,x82632,x82633)),f318(f318(f142(x82631),x82634),x82635)),x82633)
% 182.43/182.08 [8291]~P24(x82911,x82912,x82913,x82915)+~P24(x82911,x82912,x82913,x82914)+P24(x82911,x82912,x82913,f318(f318(f92(f905(x82911,a894)),x82914),x82915))
% 182.43/182.08 [8400]~P74(x84001)+E(f318(f318(f75(x84001),f318(x84002,x84003)),f318(f156(x84001),f318(f318(f145(x84004,x84001),x84002),f161(x84004,x84003,x84005)))),f318(f156(x84001),f318(f318(f145(x84004,x84001),x84002),x84005)))+~P1(f318(f318(f320(x84004),x84003),f318(f163(x84004),x84005)))
% 182.43/182.08 [8488]~P82(x84881)+~P13(x84881,f318(f318(f145(x84882,x84881),x84883),x84885))+P13(x84881,f318(f318(f145(x84882,x84881),x84883),f318(f318(f139(x84882,x84881,x84883),x84884),x84885)))
% 182.43/182.08 [8573]~P5(x85731)+P1(f318(f318(f226(x85731),f318(f318(f34(x85732,x85731),x85733),x85734)),f318(f318(f34(x85732,x85731),x85735),x85734)))+~P1(f318(f318(f226(f905(x85732,a894)),x85733),x85735))
% 182.43/182.08 [8574]~P5(x85741)+P1(f318(f318(f226(x85741),f318(f318(f35(x85742,x85741),x85743),x85744)),f318(f318(f35(x85742,x85741),x85745),x85744)))+~P1(f318(f318(f226(f905(x85742,a894)),x85745),x85743))
% 182.43/182.08 [8607]~P82(x86073)+P1(f318(f128(x86071),x86072))+~P1(f318(f128(x86071),f318(f318(f139(x86071,x86073,x86074),x86075),x86072)))
% 182.43/182.08 [8752]~P82(x87521)+~P1(f318(f318(f320(x87522),x87523),f318(f163(x87522),x87524)))+~P1(f318(f128(x87522),f318(f318(f139(x87522,x87521,x87525),x87523),x87524)))
% 182.43/182.08 [8842]~P82(x88421)+P13(x88421,f318(f318(f145(x88422,x88421),x88423),x88424))+~P13(x88421,f318(f318(f145(x88422,x88421),x88423),f318(f318(f139(x88422,x88421,x88423),x88425),x88424)))
% 182.43/182.08 [8888]~P24(x88882,x88881,x88884,x88883)+E(f318(f301(x88881,x88882,f86(x88882,x88881,x88883,x88884)),f318(f301(x88882,x88881,x88884),x88885)),x88885)+~P1(f318(f318(f226(f905(x88882,a894)),x88885),x88883))
% 182.43/182.08 [8941]~P82(x89412)+E(f318(f318(f139(x89411,x89412,x89413),x89414),x89415),f140(x89411,x89412,x89413,x89414,x89415))+P1(f318(f318(f320(x89412),f318(x89413,x89414)),f318(f301(x89411,x89412,x89413),f318(f163(x89411),x89415))))
% 182.43/182.08 [9022]~P82(x90222)+E(f140(x90221,x90222,x90223,x90224,x90225),x90225)+~P1(f318(f318(f320(x90222),f318(x90223,x90224)),f318(f301(x90221,x90222,x90223),f318(f163(x90221),x90225))))
% 182.43/182.08 [9038]~P24(x90382,x90381,x90383,x90385)+P1(f318(f318(f227(f905(x90381,a894)),f318(f301(x90382,x90381,x90383),x90384)),f318(f301(x90382,x90381,x90383),x90385)))+~P1(f318(f318(f227(f905(x90382,a894)),x90384),x90385))
% 182.43/182.08 [9197]~P24(x91971,x91972,x91973,f233(f905(x91971,a894)))+~P1(f318(f318(f226(f905(x91972,a894)),x91974),f318(f301(x91971,x91972,x91973),x91975)))+P1(f318(f318(f226(f905(x91971,a894)),f318(f302(x91971,x91972,x91973),x91974)),x91975))
% 182.43/182.08 [9221]~E(f318(f301(x92213,x92211,x92214),f233(f905(x92213,a894))),f233(f905(x92211,a894)))+P1(f318(f318(f226(f905(x92211,a894)),x92212),f318(f301(x92213,x92211,x92214),x92215)))+~P1(f318(f318(f226(f905(x92213,a894)),f318(f302(x92213,x92211,x92214),x92212)),x92215))
% 182.43/182.08 [9328]~P24(x93281,x93284,x93285,f233(f905(x93281,a894)))+~P1(f318(f318(f226(f905(x93284,a894)),f318(f301(x93281,x93284,x93285),x93282)),f318(f301(x93281,x93284,x93285),x93283)))+P1(f318(f318(f226(f905(x93281,a894)),x93282),x93283))
% 182.43/182.08 [9454]~P79(x94541)+~E(f318(x94543,f699(x94543,x94544,x94545,x94542,x94541)),f2(x94541))+E(f318(f156(x94541),f318(f318(f145(x94542,x94541),x94543),f318(f127(x94542,x94544),x94545))),f318(f156(x94541),f318(f318(f145(x94542,x94541),x94543),x94545)))
% 182.43/182.08 [9481]~P25(x94811,x94812,x94813,f233(f905(x94811,a894)),f233(f905(x94812,a894)))+~P1(f318(f318(f226(f905(x94812,a894)),x94814),f318(f301(x94811,x94812,x94813),x94815)))+P1(f318(f318(f226(f905(x94811,a894)),f318(f302(x94811,x94812,x94813),x94814)),x94815))
% 182.43/182.08 [9510]~P25(x95103,x95101,x95104,f233(f905(x95103,a894)),f233(f905(x95101,a894)))+P1(f318(f318(f226(f905(x95101,a894)),x95102),f318(f301(x95103,x95101,x95104),x95105)))+~P1(f318(f318(f226(f905(x95103,a894)),f318(f302(x95103,x95101,x95104),x95102)),x95105))
% 182.43/182.08 [9645]~P16(x96451,x96452,x96453)+~P1(f318(f28(x96451),x96455))+P1(f318(f60(x96451,x96452,x96453,x96454,x96455),f318(f318(f58(x96451,x96452,x96453),x96454),x96455)))
% 182.43/182.08 [9724]~P25(x97242,x97241,x97244,f233(f905(x97242,a894)),f233(f905(x97241,a894)))+~P25(x97241,x97243,x97245,f233(f905(x97241,a894)),f233(f905(x97243,a894)))+E(f318(f67(x97241,x97242,x97243,f86(x97242,x97241,f233(f905(x97242,a894)),x97244)),f86(x97241,x97243,f233(f905(x97241,a894)),x97245)),f86(x97242,x97243,f233(f905(x97242,a894)),f318(f67(x97241,x97243,x97242,x97245),x97244)))
% 182.43/182.08 [9725]P1(f318(x97251,f619(x97252,x97251,x97253,x97254,x97255)))+~P1(f318(f318(f226(f905(x97255,a894)),x97254),x97253))+P1(f318(f318(f226(f905(x97255,a894)),f318(f318(f92(f905(x97255,a894)),x97254),f318(f253(x97255),x97251))),f318(f318(f92(f905(x97255,a894)),x97253),f318(f253(x97255),x97252))))
% 182.43/182.08 [9739]~P79(x97391)+~P1(f318(x97394,f699(x97393,x97394,x97395,x97392,x97391)))+E(f318(f156(x97391),f318(f318(f145(x97392,x97391),x97393),f318(f127(x97392,x97394),x97395))),f318(f156(x97391),f318(f318(f145(x97392,x97391),x97393),x97395)))
% 182.43/182.08 [9816]~P5(x98165)+P1(f318(f318(f320(x98161),f587(x98162,x98163,x98161,x98164,x98165)),x98163))+P1(f318(f318(f226(x98165),x98164),f318(f318(f35(x98161,x98165),x98163),x98162)))
% 182.43/182.08 [9820]~P79(x98201)+E(f318(f156(x98201),f318(f318(f145(x98202,x98201),x98203),f318(f127(x98202,x98204),x98205))),f318(f156(x98201),f318(f318(f145(x98202,x98201),x98203),x98205)))+P1(f318(f318(f320(x98202),f699(x98203,x98204,x98205,x98202,x98201)),f318(f163(x98202),x98205)))
% 182.43/182.08 [9830]~P1(f318(x98305,f619(x98305,x98303,x98304,x98302,x98301)))+~P1(f318(f318(f226(f905(x98301,a894)),x98302),x98304))+P1(f318(f318(f226(f905(x98301,a894)),f318(f318(f92(f905(x98301,a894)),x98302),f318(f253(x98301),x98303))),f318(f318(f92(f905(x98301,a894)),x98304),f318(f253(x98301),x98305))))
% 182.43/182.08 [9846]~P24(x98465,x98463,x98464,f233(f905(x98465,a894)))+P1(f318(x98461,x98462))+P1(f318(f318(f320(x98463),f793(x98462,x98461,x98464,x98463,x98465)),f318(f301(x98465,x98463,x98464),f233(f905(x98465,a894)))))
% 182.43/182.08 [9869]P33(x98691,x98692,x98693,x98694,x98695)+~E(f318(f180(f899(x98692)),x98695),f318(f180(f899(x98691)),x98694))+P1(f318(f318(f227(a898),f681(x98695,x98694,x98693,x98692,x98691)),f318(f180(f899(x98691)),x98694)))
% 182.43/182.08 [9870]P33(x98701,x98702,x98703,x98704,x98705)+~E(f318(f180(f899(x98702)),x98705),f318(f180(f899(x98701)),x98704))+P1(f318(f318(f227(a898),f716(x98703,x98705,x98702,x98704,x98701)),f318(f180(f899(x98701)),x98704)))
% 182.43/182.08 [9901]P1(f318(f318(f320(x99011),f619(x99012,x99013,x99014,x99015,x99011)),x99015))+~P1(f318(f318(f226(f905(x99011,a894)),x99015),x99014))+P1(f318(f318(f226(f905(x99011,a894)),f318(f318(f92(f905(x99011,a894)),x99015),f318(f253(x99011),x99013))),f318(f318(f92(f905(x99011,a894)),x99014),f318(f253(x99011),x99012))))
% 182.43/182.08 [9944]~P5(x99441)+~P1(f318(f318(f226(x99441),x99442),f318(x99445,f587(x99445,x99444,x99443,x99442,x99441))))+P1(f318(f318(f226(x99441),x99442),f318(f318(f35(x99443,x99441),x99444),x99445)))
% 182.43/182.08 [9981]~P75(x99811)+~P1(f318(f28(x99812),x99815))+E(f318(f318(f318(f59(x99811,x99812,f76(x99811)),f318(f318(f18(x99812,x99811,x99811),f318(f318(f8(x99811,f905(x99811,x99811),x99812),f76(x99811)),x99813)),x99814)),f73(x99811)),x99815),f318(f318(f76(x99811),f318(f318(f318(f59(x99811,x99812,f76(x99811)),x99813),f73(x99811)),x99815)),f318(f318(f318(f59(x99811,x99812,f76(x99811)),x99814),f73(x99811)),x99815)))
% 182.43/182.08 [10036]~P1(f318(f318(f320(f904(f905(x100361,a894),f905(x100361,a894))),f318(f318(f243(f905(x100361,a894),f905(x100361,a894)),x100365),x100364)),f309(x100361,x100363)))+~P1(f318(f318(f320(x100361),x100362),x100365))+P1(f318(f318(f320(f904(x100361,x100361)),f318(f318(f243(x100361,x100361),x100362),f552(x100363,x100364,x100365,x100361,x100362))),x100363))
% 182.43/182.08 [10174]~P1(f318(f318(f320(f904(f899(x101741),f899(x101741))),f318(f318(f243(f899(x101741),f899(x101741)),f318(f318(f125(x101741),x101745),x101742)),f318(f318(f125(x101741),x101745),x101743))),f138(x101741,x101744)))+P1(f318(f318(f320(f904(f899(x101741),f899(x101741))),f318(f318(f243(f899(x101741),f899(x101741)),x101742),x101743)),f138(x101741,x101744)))+P1(f318(f318(f320(f904(x101741,x101741)),f318(f318(f243(x101741,x101741),f668(x101744,x101743,x101742,x101745,x101741)),f668(x101744,x101743,x101742,x101745,x101741))),x101744))
% 182.43/182.08 [7358]~E(x73583,x73585)+E(f318(f318(f155(x73581),f318(f318(f150(x73581,x73582),x73583),x73584)),x73585),x73584)+~P1(f318(f318(f227(a898),x73583),f318(f180(f899(x73581)),x73582)))
% 182.43/182.08 [7474]~E(f318(f318(f125(x74741),x74742),x74744),f318(f318(f125(x74741),x74743),x74745))+E(f318(f318(f166(x74741),f318(f180(f899(x74741)),x74742)),x74743),x74742)+P1(f318(f318(f226(a898),f318(f180(f899(x74741)),x74743)),f318(f180(f899(x74741)),x74742)))
% 182.43/182.08 [7971]~E(f318(f318(f125(x79711),x79712),x79714),f318(f318(f125(x79711),x79713),x79715))+E(f318(f318(f166(x79711),f318(f180(f899(x79711)),x79712)),x79713),x79712)+~P1(f318(f318(f226(a898),f318(f180(f899(x79711)),x79712)),f318(f180(f899(x79711)),x79713)))
% 182.43/182.08 [7995]~P1(f318(f28(x79951),f318(x79954,x79955)))+~P1(f318(f318(f320(x79952),x79955),x79953))+P1(f318(f28(x79951),f318(f318(f35(x79952,f905(x79951,a894)),x79953),x79954)))
% 182.43/182.08 [8170]~P51(x81701,x81703,x81705)+~P51(x81701,x81702,x81704)+P51(x81701,f318(f318(f92(f905(x81701,a894)),x81702),x81703),f318(f318(f92(f905(f904(x81701,x81701),a894)),x81704),x81705))
% 182.43/182.08 [8171]~P51(x81711,x81713,x81715)+~P51(x81711,x81712,x81714)+P51(x81711,f318(f318(f101(f905(x81711,a894)),x81712),x81713),f318(f318(f101(f905(f904(x81711,x81711),a894)),x81714),x81715))
% 182.43/182.08 [8528]E(f318(f318(f243(x85281,x85282),f318(f318(f155(x85281),x85283),x85284)),f318(f318(f155(x85282),x85285),x85284)),f318(f318(f155(f904(x85281,x85282)),f318(f318(f172(x85281,x85282),x85283),x85285)),x85284))+~P1(f318(f318(f227(a898),x85284),f318(f180(f899(x85281)),x85283)))+~P1(f318(f318(f227(a898),x85284),f318(f180(f899(x85282)),x85285)))
% 182.43/182.08 [8681]~P51(x86811,x86813,x86814)+P1(f318(f318(f320(x86811),x86812),x86813))+~P1(f318(f318(f320(f904(x86811,x86811)),f318(f318(f243(x86811,x86811),x86815),x86812)),x86814))
% 182.43/182.08 [8682]~P51(x86821,x86823,x86824)+P1(f318(f318(f320(x86821),x86822),x86823))+~P1(f318(f318(f320(f904(x86821,x86821)),f318(f318(f243(x86821,x86821),x86822),x86825)),x86824))
% 182.43/182.08 [8683]~P8(x86831,x86833,x86834)+P1(f318(f318(f320(x86831),x86832),x86833))+~P1(f318(f318(f320(f904(x86831,x86831)),f318(f318(f243(x86831,x86831),x86835),x86832)),x86834))
% 182.43/182.08 [8684]~P8(x86841,x86843,x86844)+P1(f318(f318(f320(x86841),x86842),x86843))+~P1(f318(f318(f320(f904(x86841,x86841)),f318(f318(f243(x86841,x86841),x86842),x86845)),x86844))
% 182.43/182.08 [8965]~P8(x89651,x89655,x89652)+E(f318(f276(x89651,x89651,x89652),f318(f318(f300(x89651),x89653),f179(f905(x89651,a894)))),f318(f276(x89651,x89651,x89652),f318(f318(f300(x89651),x89654),f179(f905(x89651,a894)))))+~P1(f318(f318(f320(f904(x89651,x89651)),f318(f318(f243(x89651,x89651),x89653),x89654)),x89652))
% 182.43/182.08 [9153]P1(f318(x91531,x91532))+~P1(f318(f318(f320(x91533),x91532),x91535))+P1(f318(f318(f320(x91533),f504(x91531,x91534,x91535,x91533)),f318(f318(f101(f905(x91533,a894)),x91535),x91534)))
% 182.43/182.08 [9154]P1(f318(x91541,x91542))+~P1(f318(f318(f320(x91543),x91542),x91544))+P1(f318(f318(f320(x91543),f504(x91541,x91544,x91545,x91543)),f318(f318(f101(f905(x91543,a894)),x91545),x91544)))
% 182.43/182.08 [9162]~P1(f318(x91622,x91625))+~P1(f318(f318(f320(x91621),x91625),x91624))+P1(f318(f318(f320(x91621),f499(x91622,x91623,x91624,x91621)),f318(f318(f101(f905(x91621,a894)),x91624),x91623)))
% 182.43/182.08 [9163]~P1(f318(x91632,x91635))+~P1(f318(f318(f320(x91631),x91635),x91633))+P1(f318(f318(f320(x91631),f499(x91632,x91633,x91634,x91631)),f318(f318(f101(f905(x91631,a894)),x91634),x91633)))
% 182.43/182.08 [9178]~P1(f318(f318(f226(f905(x91781,a894)),x91785),x91783))+~P1(f318(f318(f226(f905(x91781,a894)),x91782),x91784))+P1(f318(f318(f226(f905(x91781,a894)),f318(f318(f23(f905(x91781,a894)),x91782),x91783)),f318(f318(f23(f905(x91781,a894)),x91784),x91785)))
% 182.43/182.08 [9179]~P1(f318(f318(f226(f905(x91791,a894)),x91793),x91795))+~P1(f318(f318(f226(f905(x91791,a894)),x91792),x91794))+P1(f318(f318(f226(f905(x91791,a894)),f318(f318(f92(f905(x91791,a894)),x91792),x91793)),f318(f318(f92(f905(x91791,a894)),x91794),x91795)))
% 182.43/182.08 [9180]~P1(f318(f318(f226(f905(x91801,a894)),x91803),x91805))+~P1(f318(f318(f226(f905(x91801,a894)),x91802),x91804))+P1(f318(f318(f226(f905(x91801,a894)),f318(f318(f101(f905(x91801,a894)),x91802),x91803)),f318(f318(f101(f905(x91801,a894)),x91804),x91805)))
% 182.43/182.08 [9275]P1(f318(f318(f320(f904(x92751,x92751)),f318(f318(f243(x92751,x92751),x92752),x92753)),f312(x92751,x92754,x92755)))+~P1(f318(f318(f226(a898),f318(x92754,x92752)),f318(x92754,x92753)))+~P1(f318(f318(f320(f904(x92751,x92751)),f318(f318(f243(x92751,x92751),x92752),x92753)),x92755))
% 182.43/182.08 [9464]P1(f318(f318(f320(f904(x94641,x94641)),f318(f318(f243(x94641,x94641),x94642),x94643)),f298(x94641,x94644)))+~P1(f318(f318(f320(f904(x94641,x94641)),f318(f318(f243(x94641,x94641),x94642),x94645)),f298(x94641,x94644)))+~P1(f318(f318(f320(f904(x94641,x94641)),f318(f318(f243(x94641,x94641),x94645),x94643)),x94644))
% 182.43/182.08 [9465]P1(f318(f318(f320(f904(x94651,x94651)),f318(f318(f243(x94651,x94651),x94652),x94653)),f298(x94651,x94654)))+~P1(f318(f318(f320(f904(x94651,x94651)),f318(f318(f243(x94651,x94651),x94655),x94653)),f298(x94651,x94654)))+~P1(f318(f318(f320(f904(x94651,x94651)),f318(f318(f243(x94651,x94651),x94652),x94655)),x94654))
% 182.43/182.08 [9566]E(x95661,x95662)+E(f318(a103,f566(x95663,x95664,x95661,x95662,x95665)),x95664)+~P1(f318(f318(f320(f904(x95665,x95665)),f318(f318(f243(x95665,x95665),x95662),x95661)),f318(f318(f174(f904(x95665,x95665),a894),x95664),x95663)))
% 182.43/182.08 [9567]E(x95671,x95672)+E(f318(a103,f568(x95673,x95674,x95671,x95672,x95675)),x95674)+~P1(f318(f318(f320(f904(x95675,x95675)),f318(f318(f243(x95675,x95675),x95672),x95671)),f318(f318(f174(f904(x95675,x95675),a894),x95674),x95673)))
% 182.43/182.08 [9568]E(x95681,f2(a898))+E(f318(a103,f566(x95682,x95681,x95683,x95684,x95685)),x95681)+~P1(f318(f318(f320(f904(x95685,x95685)),f318(f318(f243(x95685,x95685),x95684),x95683)),f318(f318(f174(f904(x95685,x95685),a894),x95681),x95682)))
% 182.43/182.08 [9569]E(x95691,f2(a898))+E(f318(a103,f568(x95692,x95691,x95693,x95694,x95695)),x95691)+~P1(f318(f318(f320(f904(x95695,x95695)),f318(f318(f243(x95695,x95695),x95694),x95693)),f318(f318(f174(f904(x95695,x95695),a894),x95691),x95692)))
% 182.43/182.08 [9594]P1(f318(f318(f320(f904(x95941,x95941)),f318(f318(f243(x95941,x95941),x95942),x95943)),f318(f318(f280(x95941,x95941,x95941),x95944),f298(x95941,x95944))))+~P1(f318(f318(f320(f904(x95941,x95941)),f318(f318(f243(x95941,x95941),x95942),x95945)),x95944))+~P1(f318(f318(f320(f904(x95941,x95941)),f318(f318(f243(x95941,x95941),x95945),x95943)),x95944))
% 182.43/182.08 [9604]~P1(f318(f318(f320(f904(x96041,x96041)),f318(f318(f243(x96041,x96041),x96042),x96045)),f298(x96041,x96044)))+P1(f318(f318(f320(f904(x96041,x96041)),f318(f318(f243(x96041,x96041),x96042),x96043)),f318(f318(f280(x96041,x96041,x96041),x96044),f298(x96041,x96044))))+~P1(f318(f318(f320(f904(x96041,x96041)),f318(f318(f243(x96041,x96041),x96045),x96043)),x96044))
% 182.43/182.08 [9639]~P8(x96391,x96395,x96392)+~P1(f318(f318(f320(f904(x96391,x96391)),f318(f318(f243(x96391,x96391),x96393),x96394)),x96392))+P1(f318(f318(f226(f905(x96391,a894)),f318(f276(x96391,x96391,x96392),f318(f318(f300(x96391),x96393),f179(f905(x96391,a894))))),f318(f276(x96391,x96391,x96392),f318(f318(f300(x96391),x96394),f179(f905(x96391,a894))))))
% 182.43/182.08 [9697]P1(f318(f318(f320(f904(x96971,x96971)),f318(f318(f243(x96971,x96971),x96972),x96973)),f318(f318(f280(x96971,x96971,x96971),x96974),f298(x96971,x96974))))+~P1(f318(f318(f320(f904(x96971,x96971)),f318(f318(f243(x96971,x96971),x96972),x96975)),f318(f318(f280(x96971,x96971,x96971),x96974),f298(x96971,x96974))))+~P1(f318(f318(f320(f904(x96971,x96971)),f318(f318(f243(x96971,x96971),x96975),x96973)),x96974))
% 182.43/182.08 [9698]P1(f318(f318(f320(f904(x96981,x96981)),f318(f318(f243(x96981,x96981),x96982),x96983)),f318(f318(f280(x96981,x96981,x96981),x96984),f298(x96981,x96984))))+~P1(f318(f318(f320(f904(x96981,x96981)),f318(f318(f243(x96981,x96981),x96985),x96983)),f318(f318(f280(x96981,x96981,x96981),x96984),f298(x96981,x96984))))+~P1(f318(f318(f320(f904(x96981,x96981)),f318(f318(f243(x96981,x96981),x96982),x96985)),x96984))
% 182.43/182.08 [9748]~P1(f318(f60(x97481,x97481,x97484,x97482,x97483),x97485))+P1(f318(f318(f320(x97481),x97482),x97483))+P1(f318(f56(x97481,x97484,f318(f318(f300(x97481),x97482),x97483)),x97485))
% 182.43/182.08 [9786]~E(f318(f301(x97863,x97862,x97865),x97864),x97861)+E(x97861,f179(f905(x97862,a894)))+P1(f318(f318(f226(f905(x97863,a894)),f318(f301(x97862,x97863,f472(x97864,x97863,x97862,x97861)),x97861)),x97864))
% 182.43/182.08 [9833]~P5(x98335)+P1(f318(f318(f320(x98331),f411(x98332,x98333,x98334,x98331,x98335)),x98334))+P1(f318(f318(f226(x98335),f318(f318(f34(x98331,x98335),x98334),x98333)),x98332))
% 182.43/182.08 [9888]P33(x98881,x98882,x98883,x98884,x98885)+~E(f318(f180(f899(x98881)),x98884),f318(f180(f899(x98882)),x98885))+P1(f318(f318(f320(f904(x98881,x98882)),f679(x98885,x98884,x98883,x98882,x98881)),f318(f163(f904(x98881,x98882)),f318(f318(f172(x98881,x98882),x98884),x98885))))
% 182.43/182.08 [9889]P33(x98891,x98892,x98893,x98894,x98895)+~E(f318(f180(f899(x98891)),x98894),f318(f180(f899(x98892)),x98895))+P1(f318(f318(f320(f904(x98891,x98892)),f680(x98893,x98895,x98894,x98892,x98891)),f318(f163(f904(x98891,x98892)),f318(f318(f172(x98891,x98892),x98894),x98895))))
% 182.43/182.08 [10015]E(x100151,x100152)+P1(f318(f318(f320(f904(x100153,x100153)),f318(f318(f243(x100153,x100153),x100151),f567(x100154,x100155,x100152,x100151,x100153))),x100154))+~P1(f318(f318(f320(f904(x100153,x100153)),f318(f318(f243(x100153,x100153),x100151),x100152)),f318(f318(f174(f904(x100153,x100153),a894),x100155),x100154)))
% 182.43/182.08 [10016]E(x100161,f2(a898))+P1(f318(f318(f320(f904(x100162,x100162)),f318(f318(f243(x100162,x100162),x100163),f567(x100164,x100161,x100165,x100163,x100162))),x100164))+~P1(f318(f318(f320(f904(x100162,x100162)),f318(f318(f243(x100162,x100162),x100163),x100165)),f318(f318(f174(f904(x100162,x100162),a894),x100161),x100164)))
% 182.43/182.08 [10055]~P5(x100551)+~P1(f318(f318(f226(x100551),f318(x100554,f411(x100555,x100554,x100553,x100552,x100551))),x100555))+P1(f318(f318(f226(x100551),f318(f318(f34(x100552,x100551),x100553),x100554)),x100555))
% 182.43/182.08 [10107]E(x101071,x101072)+P1(f318(f318(f320(f904(x101073,x101073)),f318(f318(f243(x101073,x101073),f569(x101074,x101075,x101071,x101072,x101073)),x101071)),x101074))+~P1(f318(f318(f320(f904(x101073,x101073)),f318(f318(f243(x101073,x101073),x101072),x101071)),f318(f318(f174(f904(x101073,x101073),a894),x101075),x101074)))
% 182.43/182.08 [10108]E(x101081,f2(a898))+P1(f318(f318(f320(f904(x101082,x101082)),f318(f318(f243(x101082,x101082),f569(x101083,x101081,x101084,x101085,x101082)),x101084)),x101083))+~P1(f318(f318(f320(f904(x101082,x101082)),f318(f318(f243(x101082,x101082),x101085),x101084)),f318(f318(f174(f904(x101082,x101082),a894),x101081),x101083)))
% 182.43/182.08 [10112]E(x101121,x101122)+P1(f318(f318(f320(f904(x101123,x101123)),f318(f318(f243(x101123,x101123),x101121),f569(x101124,x101125,x101122,x101121,x101123))),f318(f318(f174(f904(x101123,x101123),a894),f568(x101124,x101125,x101122,x101121,x101123)),x101124)))+~P1(f318(f318(f320(f904(x101123,x101123)),f318(f318(f243(x101123,x101123),x101121),x101122)),f318(f318(f174(f904(x101123,x101123),a894),x101125),x101124)))
% 182.43/182.08 [10113]E(x101131,f2(a898))+P1(f318(f318(f320(f904(x101132,x101132)),f318(f318(f243(x101132,x101132),x101133),f569(x101134,x101131,x101135,x101133,x101132))),f318(f318(f174(f904(x101132,x101132),a894),f568(x101134,x101131,x101135,x101133,x101132)),x101134)))+~P1(f318(f318(f320(f904(x101132,x101132)),f318(f318(f243(x101132,x101132),x101133),x101135)),f318(f318(f174(f904(x101132,x101132),a894),x101131),x101134)))
% 182.43/182.08 [10165]E(x101651,x101652)+P1(f318(f318(f320(f904(x101653,x101653)),f318(f318(f243(x101653,x101653),f567(x101654,x101655,x101651,x101652,x101653)),x101651)),f318(f318(f174(f904(x101653,x101653),a894),f566(x101654,x101655,x101651,x101652,x101653)),x101654)))+~P1(f318(f318(f320(f904(x101653,x101653)),f318(f318(f243(x101653,x101653),x101652),x101651)),f318(f318(f174(f904(x101653,x101653),a894),x101655),x101654)))
% 182.43/182.08 [10166]E(x101661,f2(a898))+P1(f318(f318(f320(f904(x101662,x101662)),f318(f318(f243(x101662,x101662),f567(x101663,x101661,x101664,x101665,x101662)),x101664)),f318(f318(f174(f904(x101662,x101662),a894),f566(x101663,x101661,x101664,x101665,x101662)),x101663)))+~P1(f318(f318(f320(f904(x101662,x101662)),f318(f318(f243(x101662,x101662),x101665),x101664)),f318(f318(f174(f904(x101662,x101662),a894),x101661),x101663)))
% 182.43/182.08 [10199]~P74(x101992)+~P1(f318(f28(x101991),x101995))+E(f318(f318(f6(x101991,x101992),f318(f318(f7(x101991,x101992,x101992),f318(f318(f18(x101991,x101992,f905(x101992,x101992)),f318(f318(f8(a894,f905(x101992,f905(x101992,x101992)),x101991),f87(x101992)),f318(f318(f7(x101991,f905(x101991,a894),a894),f320(x101991)),x101993))),x101994)),f2(x101992))),x101995),f318(f318(f6(x101991,x101992),x101994),f318(f318(f92(f905(x101991,a894)),x101995),x101993)))
% 182.43/182.08 [8749]~P74(x87491)+~P1(f318(f28(x87494),x87495))+E(f318(f318(f75(x87491),f318(x87492,x87493)),f318(f318(f6(x87494,x87491),x87492),f318(f318(f23(f905(x87494,a894)),x87495),f318(f318(f300(x87494),x87493),f179(f905(x87494,a894)))))),f318(f318(f6(x87494,x87491),x87492),f318(f318(f300(x87494),x87493),x87495)))
% 182.43/182.08 [8750]~P75(x87501)+~P1(f318(f28(x87504),x87505))+E(f318(f318(f76(x87501),f318(x87502,x87503)),f318(f318(f9(x87504,x87501),x87502),f318(f318(f23(f905(x87504,a894)),x87505),f318(f318(f300(x87504),x87503),f179(f905(x87504,a894)))))),f318(f318(f9(x87504,x87501),x87502),f318(f318(f300(x87504),x87503),x87505)))
% 182.43/182.08 [9086]~P82(x90862)+~P13(x90862,f318(f159(x90862),f318(f318(f145(x90861,x90862),x90864),x90865)))+E(f318(f127(x90861,f318(f318(f8(x90862,a894,x90861),f318(f227(x90862),x90863)),x90864)),x90865),f168(x90861,f318(f318(f8(x90862,a894,x90861),f318(f227(x90862),x90863)),x90864),x90865))
% 182.43/182.08 [9110]~P74(x91101)+E(f318(f318(f75(x91101),f318(f318(f6(a898,x91101),x91102),f294(a898,x91103,x91104))),f318(f318(f6(a898,x91101),x91102),f294(a898,f318(f318(f75(a898),x91104),f73(a898)),f318(f318(f75(a898),x91104),x91105)))),f318(f318(f6(a898,x91101),x91102),f294(a898,x91103,f318(f318(f75(a898),x91104),x91105))))+~P1(f318(f318(f226(a898),x91103),f318(f318(f75(a898),x91104),f73(a898))))
% 182.43/182.08 [9111]~P1(f318(f318(f320(x91111),x91114),x91115))+~P1(f318(f318(f226(f905(x91111,a894)),f318(f163(x91111),x91112)),x91115))+P1(f318(f318(f226(f905(x91111,a894)),f318(f163(x91111),f318(f318(f150(x91111,x91112),x91113),x91114))),x91115))
% 182.43/182.08 [9337]~P5(x93372)+~P1(f318(f28(x93371),x93375))+E(f318(f318(f58(x93371,x93372,f318(f318(f8(x93372,f905(x93372,x93372),x93371),f92(x93372)),x93373)),x93374),x93375),f318(f318(f92(x93372),x93374),f318(f318(f35(x93371,x93372),x93375),x93373)))
% 182.43/182.08 [9338]~P5(x93382)+~P1(f318(f28(x93381),x93385))+E(f318(f318(f58(x93381,x93382,f318(f318(f8(x93382,f905(x93382,x93382),x93381),f101(x93382)),x93383)),x93384),x93385),f318(f318(f101(x93382),x93384),f318(f318(f34(x93381,x93382),x93385),x93383)))
% 182.43/182.08 [9389]E(f318(x93891,x93892),f318(x93891,x93893))+P1(f318(f318(f227(a898),f318(x93891,x93892)),f318(x93891,x93893)))+~P1(f318(f318(f320(f904(x93894,x93894)),f318(f318(f243(x93894,x93894),x93892),x93893)),f144(x93894,f318(f318(f142(f905(x93894,a898)),x93891),x93895))))
% 182.43/182.08 [9422]~E(f318(x94224,x94222),f318(x94224,x94223))+~P1(f318(f318(f320(f904(x94221,x94221)),f318(f318(f243(x94221,x94221),x94222),x94223)),f144(x94221,x94225)))+P1(f318(f318(f320(f904(x94221,x94221)),f318(f318(f243(x94221,x94221),x94222),x94223)),f144(x94221,f318(f318(f142(f905(x94221,a898)),x94224),x94225))))
% 182.43/182.08 [9442]~P24(x94421,x94422,x94423,x94425)+P24(x94421,x94422,x94423,f318(f318(f300(x94421),x94424),x94425))+P1(f318(f318(f320(x94422),f318(x94423,x94424)),f318(f301(x94421,x94422,x94423),f318(f318(f23(f905(x94421,a894)),x94425),f318(f318(f300(x94421),x94424),f179(f905(x94421,a894)))))))
% 182.43/182.08 [9445]P1(f318(x94452,x94455))+~P1(f318(f318(f320(x94451),x94455),f318(f163(x94451),x94453)))+E(f318(f318(f129(x94451),f318(f180(f899(x94451)),f168(x94451,x94452,f318(f318(f125(x94451),x94453),x94454)))),f318(f318(f125(x94451),x94453),x94454)),f318(f318(f125(x94451),f318(f318(f129(x94451),f318(f180(f899(x94451)),f168(x94451,x94452,x94453))),x94453)),x94454))
% 182.43/182.08 [9450]~P1(f318(f318(f320(f904(x94501,x94501)),f318(f318(f243(x94501,x94501),x94502),x94503)),f144(x94501,x94505)))+~P1(f318(f318(f226(a898),f318(x94504,x94502)),f318(x94504,x94503)))+P1(f318(f318(f320(f904(x94501,x94501)),f318(f318(f243(x94501,x94501),x94502),x94503)),f144(x94501,f318(f318(f142(f905(x94501,a898)),x94504),x94505))))
% 182.43/182.08 [9517]P1(f318(f318(f320(f904(x95174,x95174)),f318(f318(f243(x95174,x95174),x95172),x95173)),f144(x95174,x95175)))+P1(f318(f318(f227(a898),f318(x95171,x95172)),f318(x95171,x95173)))+~P1(f318(f318(f320(f904(x95174,x95174)),f318(f318(f243(x95174,x95174),x95172),x95173)),f144(x95174,f318(f318(f142(f905(x95174,a898)),x95171),x95175))))
% 182.43/182.08 [9669]~P1(f318(f318(f320(f904(f899(x96691),f899(x96691))),f318(f318(f243(f899(x96691),f899(x96691)),x96692),x96694)),f149(x96691,x96695)))+~P1(f318(f318(f227(a898),x96693),f318(f180(f899(x96691)),x96692)))+P1(f318(f318(f320(f904(x96691,x96691)),f318(f318(f243(x96691,x96691),f318(f318(f155(x96691),x96692),x96693)),f318(f318(f155(x96691),x96694),x96693))),x96695))
% 182.43/182.08 [9911]E(x99111,f2(a1))+~P1(f318(f44(x99113,x99111),f318(f318(f243(a1,a1),x99114),x99115)))+P1(f318(f44(f318(f318(f76(a1),x99112),x99113),x99111),f318(f318(f243(a1,a1),f318(f318(f75(a1),f318(f318(f76(a1),x99112),x99114)),f318(f318(f30(a1),f318(f318(f76(a1),x99112),x99115)),x99111))),f40(a1,f318(f318(f76(a1),x99112),x99115),x99111))))
% 182.43/182.08 [9912]~P1(f318(f318(f227(a898),f2(a898)),x99123))+~P1(f318(f43(x99122,x99123),f318(f318(f243(a898,a898),x99124),x99125)))+P1(f318(f43(f318(f318(f76(a898),x99121),x99122),x99123),f318(f318(f243(a898,a898),f318(f318(f75(a898),f318(f318(f76(a898),x99121),x99124)),f318(f318(f30(a898),f318(f318(f76(a898),x99121),x99125)),x99123))),f40(a898,f318(f318(f76(a898),x99121),x99125),x99123))))
% 182.43/182.08 [10222]~P74(x102222)+~P1(f318(f28(x102221),x102224))+E(f318(f318(f6(x102221,x102222),x102223),f318(f253(x102221),f318(f318(f18(x102221,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102221),a316),f318(f318(f7(x102221,f905(x102221,a894),a894),f320(x102221)),x102224))),f318(f318(f7(x102221,f905(x102221,a894),a894),f320(x102221)),x102225)))),f318(f318(f6(x102221,x102222),f318(f318(f7(x102221,x102222,x102222),f318(f318(f18(x102221,x102222,f905(x102222,x102222)),f318(f318(f8(a894,f905(x102222,f905(x102222,x102222)),x102221),f87(x102222)),f318(f318(f7(x102221,f905(x102221,a894),a894),f320(x102221)),x102225))),x102223)),f2(x102222))),x102224))
% 182.43/182.08 [8378]~E(f318(f318(f125(x83781),x83782),x83785),f318(f318(f125(x83781),x83783),x83784))+E(f318(f318(f125(x83781),f318(f318(f129(x83781),f318(f180(f899(x83781)),x83782)),x83783)),x83784),x83785)+P1(f318(f318(f226(a898),f318(f180(f899(x83781)),x83783)),f318(f180(f899(x83781)),x83782)))
% 182.43/182.08 [8576]~E(f318(f318(f125(x85762),x85763),x85761),f318(f318(f125(x85762),x85764),x85765))+E(x85761,f318(f318(f125(x85762),f318(f318(f129(x85762),f318(f180(f899(x85762)),x85763)),x85764)),x85765))+~P1(f318(f318(f226(a898),f318(f180(f899(x85762)),x85763)),f318(f180(f899(x85762)),x85764)))
% 182.43/182.08 [8664]~E(f318(f318(f75(a898),f318(f318(f76(a898),x86643),x86644)),x86641),f318(f318(f75(a898),f318(f318(f76(a898),x86642),x86644)),x86645))+~P1(f318(f318(f226(a898),x86643),x86642))+E(x86641,f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x86642),x86643)),x86644)),x86645))
% 182.43/182.08 [8665]~E(f318(f318(f75(a898),f318(f318(f76(a898),x86651),x86653)),x86654),f318(f318(f75(a898),f318(f318(f76(a898),x86652),x86653)),x86655))+~P1(f318(f318(f226(a898),x86652),x86651))+E(f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x86651),x86652)),x86653)),x86654),x86655)
% 182.43/182.08 [8833]E(f318(f318(f75(a898),f318(f318(f76(a898),x88331),x88332)),x88333),f318(f318(f75(a898),f318(f318(f76(a898),x88334),x88332)),x88335))+~P1(f318(f318(f226(a898),x88334),x88331))+~E(x88335,f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x88331),x88334)),x88332)),x88333))
% 182.43/182.08 [8834]E(f318(f318(f75(a898),f318(f318(f76(a898),x88341),x88342)),x88343),f318(f318(f75(a898),f318(f318(f76(a898),x88344),x88342)),x88345))+~P1(f318(f318(f226(a898),x88344),x88341))+~E(f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x88341),x88344)),x88342)),x88343),x88345)
% 182.43/182.08 [9723]~P60(x97232)+~P1(f318(f28(x97231),x97235))+E(f318(f318(f9(x97231,x97232),f318(f318(f18(x97231,x97232,x97232),f318(f318(f8(x97232,f905(x97232,x97232),x97231),f282(x97232)),x97233)),x97234)),x97235),f318(f318(f282(x97232),f318(f318(f9(x97231,x97232),x97233),x97235)),f318(f318(f9(x97231,x97232),x97234),x97235)))
% 182.43/182.08 [9852]~E(f574(x98525,x98524,x98523,x98522,x98521),f575(x98525,x98524,x98523,x98522,x98521))+P1(f318(f318(f320(f904(x98521,x98521)),f318(f318(f243(x98521,x98521),x98522),x98523)),f298(x98521,x98524)))+~P1(f318(f318(f320(f904(x98521,x98521)),f318(f318(f243(x98521,x98521),x98522),x98523)),f298(x98521,f318(f318(f101(f905(f904(x98521,x98521),a894)),x98524),x98525))))
% 182.43/182.08 [9853]~E(f576(x98535,x98534,x98533,x98532,x98531),f577(x98535,x98534,x98533,x98532,x98531))+P1(f318(f318(f320(f904(x98531,x98531)),f318(f318(f243(x98531,x98531),x98532),x98533)),f298(x98531,x98534)))+~P1(f318(f318(f320(f904(x98531,x98531)),f318(f318(f243(x98531,x98531),x98532),x98533)),f298(x98531,f318(f318(f101(f905(f904(x98531,x98531),a894)),x98534),x98535))))
% 182.43/182.08 [10045]P1(f318(f318(f320(f904(x100451,x100451)),f318(f318(f243(x100451,x100451),x100452),f577(x100455,x100454,x100453,x100452,x100451))),f298(x100451,x100454)))+P1(f318(f318(f320(f904(x100451,x100451)),f318(f318(f243(x100451,x100451),x100452),x100453)),f298(x100451,x100454)))+~P1(f318(f318(f320(f904(x100451,x100451)),f318(f318(f243(x100451,x100451),x100452),x100453)),f298(x100451,f318(f318(f101(f905(f904(x100451,x100451),a894)),x100454),x100455))))
% 182.43/182.08 [10134]P1(f318(f318(f320(f904(x101341,x101341)),f318(f318(f243(x101341,x101341),f575(x101345,x101344,x101343,x101342,x101341)),x101343)),f298(x101341,x101344)))+P1(f318(f318(f320(f904(x101341,x101341)),f318(f318(f243(x101341,x101341),x101342),x101343)),f298(x101341,x101344)))+~P1(f318(f318(f320(f904(x101341,x101341)),f318(f318(f243(x101341,x101341),x101342),x101343)),f298(x101341,f318(f318(f101(f905(f904(x101341,x101341),a894)),x101344),x101345))))
% 182.43/182.08 [10172]P1(f318(f318(f320(f904(x101721,x101721)),f318(f318(f243(x101721,x101721),x101722),x101723)),f298(x101721,x101724)))+P1(f318(f318(f320(f904(x101721,x101721)),f318(f318(f243(x101721,x101721),f574(x101725,x101724,x101723,x101722,x101721)),f575(x101725,x101724,x101723,x101722,x101721))),x101725))+~P1(f318(f318(f320(f904(x101721,x101721)),f318(f318(f243(x101721,x101721),x101722),x101723)),f298(x101721,f318(f318(f101(f905(f904(x101721,x101721),a894)),x101724),x101725))))
% 182.43/182.08 [10173]P1(f318(f318(f320(f904(x101731,x101731)),f318(f318(f243(x101731,x101731),x101732),x101733)),f298(x101731,x101734)))+P1(f318(f318(f320(f904(x101731,x101731)),f318(f318(f243(x101731,x101731),f577(x101735,x101734,x101733,x101732,x101731)),f576(x101735,x101734,x101733,x101732,x101731))),x101735))+~P1(f318(f318(f320(f904(x101731,x101731)),f318(f318(f243(x101731,x101731),x101732),x101733)),f298(x101731,f318(f318(f101(f905(f904(x101731,x101731),a894)),x101734),x101735))))
% 182.43/182.08 [10320]~P1(f318(f318(f320(f904(f899(x103201),f899(x103201))),f318(f318(f243(f899(x103201),f899(x103201)),x103204),x103205)),f149(x103201,x103202)))+~P1(f318(f318(f320(f904(x103201,x103201)),x103203),f318(f163(f904(x103201,x103201)),f318(f318(f172(x103201,x103201),x103204),x103205))))+P1(f318(f318(f248(x103201,x103201,a894),f318(f318(f7(x103201,f905(f904(x103201,x103201),a894),f905(x103201,a894)),f318(f318(f8(f905(x103201,f905(f905(f904(x103201,x103201),a894),a894)),f905(f905(f904(x103201,x103201),a894),f905(x103201,a894)),x103201),f7(x103201,f905(f904(x103201,x103201),a894),a894)),f318(f318(f8(f905(x103201,f904(x103201,x103201)),f905(x103201,f905(f905(f904(x103201,x103201),a894),a894)),x103201),f318(f8(f904(x103201,x103201),f905(f905(f904(x103201,x103201),a894),a894),x103201),f320(f904(x103201,x103201)))),f243(x103201,x103201)))),x103202)),x103203))
% 182.43/182.08 [9752]~P1(f318(f318(f226(a898),x97523),x97522))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),x97523),x97524)),x97521)),f318(f318(f75(a898),f318(f318(f76(a898),x97522),x97524)),x97525)))+P1(f318(f318(f226(a898),x97521),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x97522),x97523)),x97524)),x97525)))
% 182.43/182.08 [9753]~P1(f318(f318(f226(a898),x97533),x97532))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),x97533),x97534)),x97531)),f318(f318(f75(a898),f318(f318(f76(a898),x97532),x97534)),x97535)))+P1(f318(f318(f227(a898),x97531),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x97532),x97533)),x97534)),x97535)))
% 182.43/182.08 [9770]~P1(f318(f318(f226(a898),x97701),x97704))+P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),x97701),x97702)),x97703)),f318(f318(f75(a898),f318(f318(f76(a898),x97704),x97702)),x97705)))+~P1(f318(f318(f226(a898),x97703),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x97704),x97701)),x97702)),x97705)))
% 182.43/182.08 [9771]~P1(f318(f318(f226(a898),x97711),x97714))+P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),x97711),x97712)),x97713)),f318(f318(f75(a898),f318(f318(f76(a898),x97714),x97712)),x97715)))+~P1(f318(f318(f227(a898),x97713),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x97714),x97711)),x97712)),x97715)))
% 182.43/182.08 [9886]~P1(f318(f318(f226(a898),x98862),x98861))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),x98861),x98863)),x98864)),f318(f318(f75(a898),f318(f318(f76(a898),x98862),x98863)),x98865)))+P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x98861),x98862)),x98863)),x98864)),x98865))
% 182.43/182.08 [9887]~P1(f318(f318(f226(a898),x98872),x98871))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),x98871),x98873)),x98874)),f318(f318(f75(a898),f318(f318(f76(a898),x98872),x98873)),x98875)))+P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x98871),x98872)),x98873)),x98874)),x98875))
% 182.43/182.08 [9930]~P1(f318(f318(f226(a898),x99304),x99301))+P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),x99301),x99302)),x99303)),f318(f318(f75(a898),f318(f318(f76(a898),x99304),x99302)),x99305)))+~P1(f318(f318(f226(a898),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x99301),x99304)),x99302)),x99303)),x99305))
% 182.43/182.08 [9931]~P1(f318(f318(f226(a898),x99314),x99311))+P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),x99311),x99312)),x99313)),f318(f318(f75(a898),f318(f318(f76(a898),x99314),x99312)),x99315)))+~P1(f318(f318(f227(a898),f318(f318(f75(a898),f318(f318(f76(a898),f318(f318(f23(a898),x99311),x99314)),x99312)),x99313)),x99315))
% 182.43/182.08 [10160]~P11(x101601,x101602,x101605,x101603)+~P1(f318(f318(f320(f904(x101601,x101601)),x101604),x101605))+P1(f318(f318(f248(x101601,x101601,a894),f318(f318(f7(x101601,f905(x101601,x101602),f905(x101601,a894)),f318(f318(f8(f905(x101602,a894),f905(f905(x101601,x101602),f905(x101601,a894)),x101601),f8(x101602,a894,x101601)),f318(f318(f8(x101602,f905(x101602,a894),x101601),a315),x101603))),x101603)),x101604))
% 182.43/182.08 [8540]~P19(x85406,x85401,x85402,x85404)+E(f318(f67(x85401,x85401,x85401,f318(x85402,x85403)),f318(x85404,x85405)),f318(f67(x85401,x85401,x85401,f318(x85404,x85405)),f318(x85402,x85403)))+~P1(f318(f28(x85406),x85405))
% 182.43/182.08 [8977]~P24(x89771,x89773,x89775,x89776)+~P24(x89773,x89772,x89774,f318(f301(x89771,x89773,x89775),x89776))+P24(x89771,x89772,f318(f67(x89773,x89772,x89771,x89774),x89775),x89776)
% 182.43/182.08 [9549]~P1(f318(f318(x95493,x95492),x95496))+~P1(f318(f318(x95494,x95495),x95492))+P1(f318(f318(f320(x95491),x95492),f291(x95491,x95493,x95494,x95495,x95496)))
% 182.43/182.08 [9550]~P1(f318(f318(x95504,x95502),x95506))+~P1(f318(f318(x95503,x95505),x95502))+P1(f318(f318(f320(x95501),x95502),f288(x95501,x95503,x95504,x95505,x95506)))
% 182.43/182.08 [9670]E(x96701,x96702)+E(x96703,x96704)+~P1(f318(f318(f320(f904(f899(x96705),f899(x96705))),f318(f318(f243(f899(x96705),f899(x96705)),f318(f318(f142(x96705),x96703),x96701)),f318(f318(f142(x96705),x96704),x96702))),f148(x96705,x96706)))
% 182.43/182.08 [9679]~E(x96792,x96794)+P1(f318(f318(f320(f904(f899(x96791),f899(x96791))),f318(f318(f243(f899(x96791),f899(x96791)),f318(f318(f142(x96791),x96792),x96793)),f318(f318(f142(x96791),x96794),x96795))),f136(x96791,x96796)))+~P1(f318(f318(f320(f904(f899(x96791),f899(x96791))),f318(f318(f243(f899(x96791),f899(x96791)),x96793),x96795)),f136(x96791,x96796)))
% 182.43/182.08 [9680]~E(x96802,x96804)+P1(f318(f318(f320(f904(f899(x96801),f899(x96801))),f318(f318(f243(f899(x96801),f899(x96801)),f318(f318(f142(x96801),x96802),x96803)),f318(f318(f142(x96801),x96804),x96805))),f138(x96801,x96806)))+~P1(f318(f318(f320(f904(f899(x96801),f899(x96801))),f318(f318(f243(f899(x96801),f899(x96801)),x96803),x96805)),f138(x96801,x96806)))
% 182.43/182.08 [9681]~E(x96812,x96814)+P1(f318(f318(f320(f904(f899(x96811),f899(x96811))),f318(f318(f243(f899(x96811),f899(x96811)),f318(f318(f142(x96811),x96812),x96813)),f318(f318(f142(x96811),x96814),x96815))),f148(x96811,x96816)))+~P1(f318(f318(f320(f904(f899(x96811),f899(x96811))),f318(f318(f243(f899(x96811),f899(x96811)),x96813),x96815)),f148(x96811,x96816)))
% 182.43/182.08 [9682]~E(x96822,x96824)+P1(f318(f318(f320(f904(f899(x96821),f899(x96821))),f318(f318(f243(f899(x96821),f899(x96821)),f318(f318(f125(x96821),x96822),x96823)),f318(f318(f125(x96821),x96824),x96825))),f148(x96821,x96826)))+~P1(f318(f318(f320(f904(f899(x96821),f899(x96821))),f318(f318(f243(f899(x96821),f899(x96821)),x96823),x96825)),f148(x96821,x96826)))
% 182.43/182.08 [9683]~E(x96833,x96835)+P1(f318(f318(f320(f904(f899(x96831),f899(x96831))),f318(f318(f243(f899(x96831),f899(x96831)),f318(f318(f125(x96831),x96832),x96833)),f318(f318(f125(x96831),x96834),x96835))),f148(x96831,x96836)))+~P1(f318(f318(f320(f904(f899(x96831),f899(x96831))),f318(f318(f243(f899(x96831),f899(x96831)),x96832),x96834)),f148(x96831,x96836)))
% 182.43/182.08 [9740]E(x97401,x97402)+P1(f318(f318(f320(f904(f899(x97403),f899(x97403))),f318(f318(f243(f899(x97403),f899(x97403)),x97401),x97402)),f148(x97403,x97404)))+~P1(f318(f318(f320(f904(f899(x97403),f899(x97403))),f318(f318(f243(f899(x97403),f899(x97403)),f318(f318(f142(x97403),x97405),x97401)),f318(f318(f142(x97403),x97406),x97402))),f148(x97403,x97404)))
% 182.43/182.08 [9890]~E(x98903,x98905)+P1(f318(f318(f320(f904(f899(x98901),f899(x98901))),f318(f318(f243(f899(x98901),f899(x98901)),f318(f318(f125(x98901),x98902),f318(f318(f142(x98901),x98903),f104(x98901)))),f318(f318(f125(x98901),x98904),f318(f318(f142(x98901),x98905),f104(x98901))))),f148(x98901,x98906)))+~P1(f318(f318(f320(f904(f899(x98901),f899(x98901))),f318(f318(f243(f899(x98901),f899(x98901)),x98902),x98904)),f148(x98901,x98906)))
% 182.43/182.08 [9934]E(x99341,x99342)+E(x99343,x99344)+~P1(f318(f318(f320(f904(f899(x99345),f899(x99345))),f318(f318(f243(f899(x99345),f899(x99345)),f318(f318(f125(x99345),x99343),f318(f318(f142(x99345),x99341),f104(x99345)))),f318(f318(f125(x99345),x99344),f318(f318(f142(x99345),x99342),f104(x99345))))),f148(x99345,x99346)))
% 182.43/182.08 [9960]E(x99601,x99602)+~P1(f318(f318(f320(f904(f899(x99603),f899(x99603))),f318(f318(f243(f899(x99603),f899(x99603)),f318(f318(f125(x99603),x99601),f318(f318(f142(x99603),x99605),f104(x99603)))),f318(f318(f125(x99603),x99602),f318(f318(f142(x99603),x99606),f104(x99603))))),f148(x99603,x99604)))+P1(f318(f318(f320(f904(f899(x99603),f899(x99603))),f318(f318(f243(f899(x99603),f899(x99603)),x99601),x99602)),f148(x99603,x99604)))
% 182.43/182.08 [9998]~P1(f318(f318(f320(f904(f905(x99981,a894),f905(x99981,a894))),f318(f318(f243(f905(x99981,a894),f905(x99981,a894)),x99982),x99984)),f309(x99981,x99986)))+~P1(f318(f318(f320(f904(f905(x99981,a894),f905(x99981,a894))),f318(f318(f243(f905(x99981,a894),f905(x99981,a894)),x99983),x99985)),f309(x99981,x99986)))+P1(f318(f318(f320(f904(f905(x99981,a894),f905(x99981,a894))),f318(f318(f243(f905(x99981,a894),f905(x99981,a894)),f318(f318(f101(f905(x99981,a894)),x99982),x99983)),f318(f318(f101(f905(x99981,a894)),x99984),x99985))),f309(x99981,x99986)))
% 182.43/182.08 [5735]~E(f318(f318(f125(x57351),x57356),x57353),x57355)+E(f318(f318(f125(x57351),x57352),x57353),f318(f318(f142(x57351),x57354),x57355))+~E(x57352,f318(f318(f142(x57351),x57354),x57356))
% 182.43/182.08 [5736]~E(f318(f318(f125(x57361),x57366),x57363),x57365)+E(f318(f318(f125(x57361),x57362),x57363),f318(f318(f125(x57361),x57364),x57365))+~E(x57362,f318(f318(f125(x57361),x57364),x57366))
% 182.43/182.08 [5738]E(f318(f318(f125(x57381),x57382),x57383),f318(f318(f142(x57381),x57384),x57385))+~E(f318(f318(f142(x57381),x57384),x57386),x57382)+~E(x57385,f318(f318(f125(x57381),x57386),x57383))
% 182.43/182.08 [5740]~E(f318(f318(f125(x57401),x57402),x57406),x57404)+E(f318(f318(f125(x57401),x57402),x57403),f318(f318(f125(x57401),x57404),x57405))+~E(x57403,f318(f318(f125(x57401),x57406),x57405))
% 182.43/182.08 [6917]E(f318(x69171,x69172),f318(x69173,x69172))+~E(f318(f318(f145(x69174,x69175),x69171),x69176),f318(f318(f145(x69174,x69175),x69173),x69176))+~P1(f318(f318(f320(x69174),x69172),f318(f163(x69174),x69176)))
% 182.43/182.08 [7305]~P19(x73054,x73055,x73056,x73051)+E(f318(f318(x73051,x73052),x73053),f318(f318(f58(x73054,x73055,x73056),x73053),x73052))+~P1(f318(f28(x73054),x73052))
% 182.43/182.08 [7376]~E(x73762,f318(x73764,x73766))+~P1(f318(f318(f320(x73763),x73766),x73765))+P1(f318(f318(f320(x73761),x73762),f318(f301(x73763,x73761,x73764),x73765)))
% 182.43/182.08 [7377]~E(f318(x73774,x73772),x73776)+~P1(f318(f318(f320(x73773),x73776),x73775))+P1(f318(f318(f320(x73771),x73772),f318(f302(x73771,x73773,x73774),x73775)))
% 182.43/182.08 [7828]~P31(x78281,x78282,x78284,x78286)+P31(x78281,x78282,f318(f318(f142(x78281),x78283),x78284),f318(f318(f142(x78281),x78285),x78286))+~P1(f318(f318(x78282,x78283),x78285))
% 182.43/182.08 [8843]~P55(x88434,x88435,x88431,x88432,x88436)+E(f318(x88431,f318(x88432,x88433)),x88433)+~P1(f318(f318(f320(x88435),x88433),x88436))
% 182.43/182.08 [9347]~P25(x93472,x93471,x93475,x93474,x93473)+E(f318(f86(x93471,x93472,x93473,f86(x93472,x93471,x93474,x93475)),x93476),f318(x93475,x93476))+~P1(f318(f318(f320(x93472),x93476),x93474))
% 182.43/182.08 [9358]~P24(x93581,x93582,x93583,x93586)+P24(x93581,x93582,f69(x93581,x93582,x93583,x93584,x93585),x93586)+P1(f318(f318(f320(x93582),x93585),f318(f301(x93581,x93582,x93583),x93586)))
% 182.43/182.08 [9672]E(x96721,x96722)+E(f318(f180(f899(x96723)),x96724),f318(f180(f899(x96723)),x96725))+~P1(f318(f318(f320(f904(f899(x96723),f899(x96723))),f318(f318(f243(f899(x96723),f899(x96723)),f318(f318(f142(x96723),x96721),x96724)),f318(f318(f142(x96723),x96722),x96725))),f136(x96723,x96726)))
% 182.43/182.08 [9735]~P16(x97351,x97352,x97353)+E(f318(f318(f58(x97351,x97352,x97353),x97354),x97355),x97356)+~P1(f318(f60(x97351,x97352,x97353,x97354,x97355),x97356))
% 182.43/182.08 [9743]E(f318(f180(f899(x97431)),x97432),f318(f180(f899(x97431)),x97433))+P1(f318(f318(f320(f904(f899(x97431),f899(x97431))),f318(f318(f243(f899(x97431),f899(x97431)),x97432),x97433)),f136(x97431,x97434)))+~P1(f318(f318(f320(f904(f899(x97431),f899(x97431))),f318(f318(f243(f899(x97431),f899(x97431)),f318(f318(f142(x97431),x97435),x97432)),f318(f318(f142(x97431),x97436),x97433))),f136(x97431,x97434)))
% 182.43/182.08 [9764]~P1(f318(f318(f320(f904(x97641,x97641)),f318(f318(f243(x97641,x97641),x97642),x97644)),f298(x97641,x97646)))+P1(f318(f318(f320(f904(f899(x97641),f899(x97641))),f318(f318(f243(f899(x97641),f899(x97641)),f318(f318(f142(x97641),x97642),x97643)),f318(f318(f142(x97641),x97644),x97645))),f298(f899(x97641),f148(x97641,x97646))))+~P1(f318(f318(f320(f904(f899(x97641),f899(x97641))),f318(f318(f243(f899(x97641),f899(x97641)),x97643),x97645)),f298(f899(x97641),f148(x97641,x97646))))
% 182.43/182.08 [9940]~P1(f318(x99402,x99406))+~E(f318(f127(x99401,x99402),x99403),f318(f318(f142(x99401),x99404),x99405))+~P1(f318(f318(f320(x99401),x99406),f318(f163(x99401),f722(x99405,x99404,x99403,x99402,x99401))))
% 182.43/182.08 [9941]~P1(f318(x99414,x99416))+~E(f318(f318(f142(x99411),x99412),x99413),f318(f127(x99411,x99414),x99415))+~P1(f318(f318(f320(x99411),x99416),f318(f163(x99411),f727(x99415,x99414,x99413,x99412,x99411))))
% 182.43/182.08 [10257]~P74(x102572)+E(f318(f318(f6(x102571,x102572),f318(f318(f8(f905(x102573,a894),x102572,x102571),f318(f6(x102573,x102572),x102574)),f318(f318(f8(f905(x102573,a894),f905(x102573,a894),x102571),f253(x102573)),f318(f318(f8(f905(x102573,a894),f905(x102573,a894),x102571),f318(f18(x102573,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102573),a316),f318(f318(f7(x102573,f905(x102573,a894),a894),f320(x102573)),x102575)))),f318(f7(x102573,x102571,a894),f318(f318(f8(x102571,f905(x102571,a894),x102573),a315),x102576)))))),f318(f301(x102573,x102571,x102576),x102575)),f318(f318(f6(x102573,x102572),x102574),x102575))+~P1(f318(f28(x102573),x102575))
% 182.43/182.08 [6975]~P82(x69753)+P1(f318(x69752,x69755))+E(f318(f127(x69751,x69752),f318(f318(f139(x69751,x69753,x69754),x69755),x69756)),f318(f127(x69751,x69752),x69756))
% 182.43/182.08 [6977]P1(f318(x69771,x69772))+~E(f157(x69773,x69771,x69774),f318(f318(f243(f899(x69773),f899(x69773)),x69775),x69776))+~P1(f318(f318(f320(x69773),x69772),f318(f163(x69773),x69775)))
% 182.43/182.08 [7023]~P1(f318(x70232,x70236))+~E(f157(x70231,x70232,x70233),f318(f318(f243(f899(x70231),f899(x70231)),x70234),x70235))+~P1(f318(f318(f320(x70231),x70236),f318(f163(x70231),x70235)))
% 182.43/182.08 [7690]~P14(x76901,x76902,x76903)+~P1(f318(f28(x76901),x76906))+E(f318(f318(f58(x76901,x76902,x76903),x76904),f318(f318(f300(x76901),x76905),x76906)),f318(f318(f58(x76901,x76902,x76903),f318(f318(x76903,x76905),x76904)),x76906))
% 182.43/182.08 [7743]~P82(x77432)+~P1(f318(f318(f226(x77432),f318(x77433,x77434)),f318(x77433,x77435)))+E(f318(f318(f139(x77431,x77432,x77433),x77434),f318(f318(f142(x77431),x77435),x77436)),f318(f318(f142(x77431),x77434),f318(f318(f142(x77431),x77435),x77436)))
% 182.43/182.08 [7856]E(x78561,x78562)+~E(f318(f318(f245(x78563,x78564),x78561),f318(f16(f905(x78564,a894),x78563),x78565)),f318(f318(f245(x78563,x78564),x78562),f318(f16(f905(x78564,a894),x78563),x78565)))+~P1(f318(f318(f320(x78564),x78566),x78565))
% 182.43/182.08 [7923]~P14(x79231,x79232,x79233)+~P1(f318(f28(x79231),x79236))+E(f318(f318(f58(x79231,x79232,x79233),x79234),f318(f318(f300(x79231),x79235),x79236)),f318(f318(x79233,x79235),f318(f318(f58(x79231,x79232,x79233),x79234),x79236)))
% 182.43/182.08 [8041]~P16(x80411,x80412,x80413)+~P1(f318(f28(x80411),x80416))+E(f318(f318(f58(x80411,x80412,x80413),f318(f318(x80413,x80414),x80415)),x80416),f318(f318(x80413,x80414),f318(f318(f58(x80411,x80412,x80413),x80415),x80416)))
% 182.43/182.08 [8109]~P20(x81092,x81095,x81096,x81091)+~P1(f318(f28(x81092),x81094))+E(f318(x81091,f318(f318(f300(x81092),x81093),x81094)),f318(f67(x81095,x81095,x81095,f318(x81091,x81094)),f318(x81096,x81093)))
% 182.43/182.08 [8141]~P82(x81412)+P1(f318(f318(f226(x81412),f318(x81413,x81414)),f318(x81413,x81415)))+E(f318(f318(f139(x81411,x81412,x81413),x81414),f318(f318(f142(x81411),x81415),x81416)),f318(f318(f142(x81411),x81415),f318(f318(f139(x81411,x81412,x81413),x81414),x81416)))
% 182.43/182.08 [8284]~E(f318(f180(f899(x82841)),x82845),f318(f180(f899(x82842)),x82846))+~E(f318(f180(f899(x82841)),x82843),f318(f180(f899(x82842)),x82844))+E(f318(f318(f125(f904(x82841,x82842)),f318(f318(f172(x82841,x82842),x82843),x82844)),f318(f318(f172(x82841,x82842),x82845),x82846)),f318(f318(f172(x82841,x82842),f318(f318(f125(x82841),x82843),x82845)),f318(f318(f125(x82842),x82844),x82846)))
% 182.43/182.08 [8396]~E(x83962,f318(f301(x83963,x83961,x83964),x83966))+P1(f318(f318(f226(f905(x83961,a894)),x83962),f318(f301(x83963,x83961,x83964),x83965)))+~P1(f318(f318(f226(f905(x83963,a894)),x83966),x83965))
% 182.43/182.08 [8499]~P82(x84995)+E(f318(x84991,x84992),f318(x84991,x84993))+E(f318(f318(f139(x84994,x84995,x84991),x84992),f318(f318(f139(x84994,x84995,x84991),x84993),x84996)),f318(f318(f139(x84994,x84995,x84991),x84993),f318(f318(f139(x84994,x84995,x84991),x84992),x84996)))
% 182.43/182.08 [8673]~P1(f318(f318(f320(x86732),x86734),f318(x86736,x86733)))+~P1(f318(f318(f320(x86731),x86733),x86735))+P1(f318(f318(f320(f904(x86731,x86732)),f318(f318(f243(x86731,x86732),x86733),x86734)),f318(f318(f245(x86731,x86732),x86735),x86736)))
% 182.43/182.08 [9151]~P74(x91512)+~P24(x91514,x91511,x91515,x91516)+E(f318(f318(f6(x91511,x91512),x91513),f318(f301(x91514,x91511,x91515),x91516)),f318(f318(f6(x91514,x91512),f318(f67(x91511,x91512,x91514,x91513),x91515)),x91516))
% 182.43/182.08 [9152]~P75(x91522)+~P24(x91524,x91521,x91525,x91526)+E(f318(f318(f9(x91521,x91522),x91523),f318(f301(x91524,x91521,x91525),x91526)),f318(f318(f9(x91524,x91522),f318(f67(x91521,x91522,x91524,x91523),x91525)),x91526))
% 182.43/182.08 [9199]~P33(x91992,x91995,x91991,x91993,x91996)+P1(f318(f318(x91991,f318(f318(f155(x91992),x91993),x91994)),f318(f318(f155(x91995),x91996),x91994)))+~P1(f318(f318(f227(a898),x91994),f318(f180(f899(x91995)),x91996)))
% 182.43/182.08 [9200]~P33(x92002,x92005,x92001,x92003,x92006)+P1(f318(f318(x92001,f318(f318(f155(x92002),x92003),x92004)),f318(f318(f155(x92005),x92006),x92004)))+~P1(f318(f318(f227(a898),x92004),f318(f180(f899(x92002)),x92003)))
% 182.43/182.08 [9211]~E(f318(f301(x92111,x92112,x92113),x92114),x92116)+E(f318(f301(x92111,x92112,x92113),f318(f301(x92112,x92111,f86(x92111,x92112,x92114,x92113)),x92115)),x92115)+~P1(f318(f318(f226(f905(x92112,a894)),x92115),x92116))
% 182.43/182.08 [9417]~P19(x94173,x94171,x94176,x94172)+~P1(f318(f28(x94173),x94174))+E(f318(f67(x94171,x94171,x94171,f318(x94172,f318(f318(f23(f905(x94173,a894)),x94174),f318(f318(f300(x94173),x94175),f179(f905(x94173,a894)))))),f318(x94176,x94175)),f318(x94172,f318(f318(f300(x94173),x94175),x94174)))
% 182.43/182.08 [10027]~E(f318(f301(x100272,x100274,x100276),f233(f905(x100272,a894))),f233(f905(x100274,a894)))+~E(f318(f301(x100271,x100273,x100275),f233(f905(x100271,a894))),f233(f905(x100273,a894)))+E(f318(f301(f904(x100271,x100272),f904(x100273,x100274),f249(x100271,x100273,x100272,x100274,x100275,x100276)),f233(f905(f904(x100271,x100272),a894))),f233(f905(f904(x100273,x100274),a894)))
% 182.43/182.08 [10084]~P24(x100843,x100844,x100845,f318(x100846,f610(x100846,x100845,x100844,x100843,x100842,x100841)))+P24(x100843,x100844,x100845,f318(f318(f35(x100842,f905(x100843,a894)),x100841),x100846))+E(x100841,f179(f905(x100842,a894)))
% 182.43/182.08 [10141]P24(x101416,x101415,x101414,f318(f318(f35(x101412,f905(x101416,a894)),x101411),x101413))+E(x101411,f179(f905(x101412,a894)))+P1(f318(f318(f320(x101412),f610(x101413,x101414,x101415,x101416,x101412,x101411)),x101411))
% 182.43/182.08 [10146]P1(f318(f318(f320(x101461),f546(x101462,x101463,x101464,x101465,x101466,x101461)),x101466))+P1(f318(f318(f226(f905(f904(x101461,x101464),a894)),f318(f318(f245(x101461,x101464),x101466),x101463)),f318(f318(f245(x101461,x101464),x101465),x101462)))+~P1(f318(f318(f226(f905(x101461,a894)),x101466),x101465))
% 182.43/182.08 [10275]~P1(f318(f318(f226(f905(x102752,a894)),f318(x102754,f546(x102756,x102754,x102752,x102755,x102753,x102751))),f318(x102756,f546(x102756,x102754,x102752,x102755,x102753,x102751))))+~P1(f318(f318(f226(f905(x102751,a894)),x102753),x102755))+P1(f318(f318(f226(f905(f904(x102751,x102752),a894)),f318(f318(f245(x102751,x102752),x102753),x102754)),f318(f318(f245(x102751,x102752),x102755),x102756)))
% 182.43/182.08 [7879]~P1(f318(x78791,x78795))+~P1(f318(x78796,x78794))+P1(f318(x78791,f318(f247(x78792,x78793),f318(f318(f243(x78792,x78793),x78794),x78795))))
% 182.43/182.08 [7880]~P1(f318(x78801,x78804))+~P1(f318(x78806,x78805))+P1(f318(x78801,f318(f242(x78802,x78803),f318(f318(f243(x78802,x78803),x78804),x78805))))
% 182.43/182.08 [7928]~P1(f318(f318(x79284,x79286),x79285))+~P1(f318(f318(f320(x79281),x79286),x79283))+P1(f318(f318(f318(f34(x79281,f905(x79282,a894)),x79283),x79284),x79285))
% 182.43/182.08 [8234]~P1(f318(f318(f320(x82341),x82342),f318(x82345,x82346)))+~P1(f318(f318(f320(x82343),x82346),x82344))+P1(f318(f318(f320(x82341),x82342),f318(f318(f34(x82343,f905(x82341,a894)),x82344),x82345)))
% 182.43/182.08 [8278]P1(f318(f318(x82781,x82782),x82783))+~P1(f318(f318(x82784,x82782),x82783))+~P1(f318(f318(f226(f905(x82785,f905(x82786,a894))),x82784),x82781))
% 182.43/182.08 [8420]P1(f318(f318(x84201,x84202),x84203))+~P1(f318(f318(f320(x84204),x84202),x84205))+~P1(f318(f318(f318(f35(x84204,f905(x84206,a894)),x84205),x84201),x84203))
% 182.43/182.08 [8555]P1(f318(f318(f320(x85551),x85552),f318(x85553,x85554)))+~P1(f318(f318(f320(x85555),x85554),x85556))+~P1(f318(f318(f320(x85551),x85552),f318(f318(f35(x85555,f905(x85551,a894)),x85556),x85553)))
% 182.43/182.08 [8822]~P11(x88224,x88225,x88226,x88221)+E(f318(x88221,x88222),f318(x88221,x88223))+~P1(f318(f318(f320(f904(x88224,x88224)),f318(f318(f243(x88224,x88224),x88222),x88223)),x88226))
% 182.43/182.08 [8857]P1(f318(f318(f226(f905(x88571,a894)),x88572),f318(x88573,x88574)))+~P1(f318(f318(f320(x88575),x88574),x88576))+~P1(f318(f318(f226(f905(x88571,a894)),x88572),f318(f318(f35(x88575,f905(x88571,a894)),x88576),x88573)))
% 182.43/182.08 [8890]~P53(x88903,x88904,f318(f277(x88904,x88903),x88905))+E(x88901,f179(f905(x88902,a894)))+E(f318(f318(f35(x88902,f905(x88903,a894)),x88901),f318(f318(f8(f905(x88904,a894),f905(x88903,a894),x88902),f276(x88904,x88903,x88905)),x88906)),f318(f276(x88904,x88903,x88905),f318(f318(f35(x88902,f905(x88904,a894)),x88901),x88906)))
% 182.43/182.08 [8968]P1(f318(f318(f320(x89681),x89682),f318(f276(x89683,x89681,x89684),x89685)))+~P1(f318(f318(f320(x89683),x89686),x89685))+~P1(f318(f318(f320(f904(x89683,x89681)),f318(f318(f243(x89683,x89681),x89686),x89682)),x89684))
% 182.43/182.08 [9277]P1(f318(f318(f226(f905(x92771,a894)),f318(f276(x92772,x92771,x92773),x92774)),f318(f276(x92772,x92771,x92775),x92776)))+~P1(f318(f318(f226(f905(x92772,a894)),x92774),x92776))+~P1(f318(f318(f226(f905(f904(x92772,x92771),a894)),x92773),x92775))
% 182.43/182.08 [9466]~P1(f318(f318(f320(x94662),x94666),x94664))+~P1(f318(f318(f226(f905(x94661,a894)),x94663),x94665))+P1(f318(f318(f226(f905(f904(x94661,x94662),a894)),f318(f318(f245(x94661,x94662),x94663),f318(f16(f905(x94662,a894),x94661),x94664))),f318(f318(f245(x94661,x94662),x94665),f318(f16(f905(x94662,a894),x94661),x94664))))
% 182.43/182.08 [9478]~P33(x94781,x94782,x94783,x94785,x94786)+P1(f318(f318(f248(x94781,x94782,a894),x94783),x94784))+~P1(f318(f318(f320(f904(x94781,x94782)),x94784),f318(f163(f904(x94781,x94782)),f318(f318(f172(x94781,x94782),x94785),x94786))))
% 182.43/182.08 [9626]~E(x96263,x96265)+P1(f318(f318(f320(f904(f899(x96261),f899(x96261))),f318(f318(f243(f899(x96261),f899(x96261)),f318(f318(f142(x96261),x96262),x96263)),f318(f318(f142(x96261),x96264),x96265))),f148(x96261,x96266)))+~P1(f318(f318(f320(f904(x96261,x96261)),f318(f318(f243(x96261,x96261),x96262),x96264)),x96266))
% 182.43/182.08 [9632]~E(f318(f180(f899(x96321)),x96323),f318(f180(f899(x96321)),x96325))+P1(f318(f318(f320(f904(f899(x96321),f899(x96321))),f318(f318(f243(f899(x96321),f899(x96321)),f318(f318(f142(x96321),x96322),x96323)),f318(f318(f142(x96321),x96324),x96325))),f136(x96321,x96326)))+~P1(f318(f318(f320(f904(x96321,x96321)),f318(f318(f243(x96321,x96321),x96322),x96324)),x96326))
% 182.43/182.08 [9664]P1(f318(f318(f320(f904(x96641,x96641)),f318(f318(f243(x96641,x96641),x96642),x96643)),f318(f318(f174(f904(x96641,x96641),a894),f318(a103,x96644)),x96645)))+~P1(f318(f318(f320(f904(x96641,x96641)),f318(f318(f243(x96641,x96641),x96646),x96643)),x96645))+~P1(f318(f318(f320(f904(x96641,x96641)),f318(f318(f243(x96641,x96641),x96642),x96646)),f318(f318(f174(f904(x96641,x96641),a894),x96644),x96645)))
% 182.43/182.08 [9665]P1(f318(f318(f320(f904(x96651,x96651)),f318(f318(f243(x96651,x96651),x96652),x96653)),f318(f318(f174(f904(x96651,x96651),a894),f318(a103,x96654)),x96655)))+~P1(f318(f318(f320(f904(x96651,x96651)),f318(f318(f243(x96651,x96651),x96652),x96656)),x96655))+~P1(f318(f318(f320(f904(x96651,x96651)),f318(f318(f243(x96651,x96651),x96656),x96653)),f318(f318(f174(f904(x96651,x96651),a894),x96654),x96655)))
% 182.43/182.08 [9668]~P1(f318(f318(f320(x96684),x96685),x96686))+P1(f318(f318(f226(f905(x96681,a894)),x96682),x96683))+~P1(f318(f318(f226(f905(f904(x96681,x96684),a894)),f318(f318(f245(x96681,x96684),x96682),f318(f16(f905(x96684,a894),x96681),x96686))),f318(f318(f245(x96681,x96684),x96683),f318(f16(f905(x96684,a894),x96681),x96686))))
% 182.43/182.08 [9713]E(x97131,x97132)+~P1(f318(f318(f320(f904(f899(x97133),f899(x97133))),f318(f318(f243(f899(x97133),f899(x97133)),f318(f318(f142(x97133),x97131),x97135)),f318(f318(f142(x97133),x97132),x97136))),f136(x97133,x97134)))+P1(f318(f318(f320(f904(x97133,x97133)),f318(f318(f243(x97133,x97133),x97131),x97132)),x97134))
% 182.43/182.08 [9714]E(x97141,x97142)+~P1(f318(f318(f320(f904(f899(x97143),f899(x97143))),f318(f318(f243(f899(x97143),f899(x97143)),f318(f318(f142(x97143),x97141),x97145)),f318(f318(f142(x97143),x97142),x97146))),f138(x97143,x97144)))+P1(f318(f318(f320(f904(x97143,x97143)),f318(f318(f243(x97143,x97143),x97141),x97142)),x97144))
% 182.43/182.08 [9715]E(x97151,x97152)+~P1(f318(f318(f320(f904(f899(x97153),f899(x97153))),f318(f318(f243(f899(x97153),f899(x97153)),f318(f318(f142(x97153),x97151),x97155)),f318(f318(f142(x97153),x97152),x97156))),f148(x97153,x97154)))+P1(f318(f318(f320(f904(x97153,x97153)),f318(f318(f243(x97153,x97153),x97151),x97152)),x97154))
% 182.43/182.08 [9751]P1(f318(f318(f320(f904(f899(x97511),f899(x97511))),f318(f318(f243(f899(x97511),f899(x97511)),f318(f318(f142(x97511),x97512),x97513)),f318(f318(f142(x97511),x97514),x97515))),f149(x97511,x97516)))+~P1(f318(f318(f320(f904(f899(x97511),f899(x97511))),f318(f318(f243(f899(x97511),f899(x97511)),x97513),x97515)),f149(x97511,x97516)))+~P1(f318(f318(f320(f904(x97511,x97511)),f318(f318(f243(x97511,x97511),x97512),x97514)),x97516))
% 182.43/182.08 [9768]P1(f318(x97681,x97682))+~P1(f318(x97681,f408(x97681,x97683,x97684,x97685,x97686)))+~P1(f318(f318(f320(x97686),x97682),f318(f318(f34(x97685,f905(x97686,a894)),x97684),x97683)))
% 182.43/182.08 [9773]~P1(f318(f318(f320(f904(f899(x97731),f899(x97731))),f318(f318(f243(f899(x97731),f899(x97731)),f318(f318(f142(x97731),x97732),x97735)),f318(f318(f142(x97731),x97733),x97736))),f136(x97731,x97734)))+P1(f318(f318(f320(f904(f899(x97731),f899(x97731))),f318(f318(f243(f899(x97731),f899(x97731)),x97735),x97736)),f136(x97731,x97734)))+P1(f318(f318(f320(f904(x97731,x97731)),f318(f318(f243(x97731,x97731),x97732),x97733)),x97734))
% 182.43/182.08 [9774]~P1(f318(f318(f320(f904(f899(x97741),f899(x97741))),f318(f318(f243(f899(x97741),f899(x97741)),f318(f318(f142(x97741),x97742),x97745)),f318(f318(f142(x97741),x97743),x97746))),f138(x97741,x97744)))+P1(f318(f318(f320(f904(f899(x97741),f899(x97741))),f318(f318(f243(f899(x97741),f899(x97741)),x97745),x97746)),f138(x97741,x97744)))+P1(f318(f318(f320(f904(x97741,x97741)),f318(f318(f243(x97741,x97741),x97742),x97743)),x97744))
% 182.43/182.08 [9775]~P1(f318(f318(f320(f904(f899(x97751),f899(x97751))),f318(f318(f243(f899(x97751),f899(x97751)),f318(f318(f142(x97751),x97752),x97755)),f318(f318(f142(x97751),x97753),x97756))),f148(x97751,x97754)))+P1(f318(f318(f320(f904(f899(x97751),f899(x97751))),f318(f318(f243(f899(x97751),f899(x97751)),x97755),x97756)),f148(x97751,x97754)))+P1(f318(f318(f320(f904(x97751,x97751)),f318(f318(f243(x97751,x97751),x97752),x97753)),x97754))
% 182.43/182.08 [9863]P1(f318(x98631,x98632))+P1(f318(f318(f320(x98633),f409(x98631,x98634,x98635,x98633,x98636)),x98635))+~P1(f318(f318(f320(x98636),x98632),f318(f318(f34(x98633,f905(x98636,a894)),x98635),x98634)))
% 182.43/182.08 [9874]~E(x98742,x98744)+P1(f318(f318(f320(f904(f899(x98741),f899(x98741))),f318(f318(f243(f899(x98741),f899(x98741)),f318(f318(f125(x98741),x98742),f318(f318(f142(x98741),x98743),f104(x98741)))),f318(f318(f125(x98741),x98744),f318(f318(f142(x98741),x98745),f104(x98741))))),f148(x98741,x98746)))+~P1(f318(f318(f320(f904(x98741,x98741)),f318(f318(f243(x98741,x98741),x98743),x98745)),x98746))
% 182.43/182.08 [9948]E(x99481,x99482)+~P1(f318(f318(f320(f904(f899(x99483),f899(x99483))),f318(f318(f243(f899(x99483),f899(x99483)),f318(f318(f125(x99483),x99485),f318(f318(f142(x99483),x99481),f104(x99483)))),f318(f318(f125(x99483),x99486),f318(f318(f142(x99483),x99482),f104(x99483))))),f148(x99483,x99484)))+P1(f318(f318(f320(f904(x99483,x99483)),f318(f318(f243(x99483,x99483),x99481),x99482)),x99484))
% 182.43/182.08 [9979]~P1(f318(f318(f320(f904(f899(x99791),f899(x99791))),f318(f318(f243(f899(x99791),f899(x99791)),f318(f318(f125(x99791),x99795),f318(f318(f142(x99791),x99792),f104(x99791)))),f318(f318(f125(x99791),x99796),f318(f318(f142(x99791),x99793),f104(x99791))))),f148(x99791,x99794)))+P1(f318(f318(f320(f904(f899(x99791),f899(x99791))),f318(f318(f243(f899(x99791),f899(x99791)),x99795),x99796)),f148(x99791,x99794)))+P1(f318(f318(f320(f904(x99791,x99791)),f318(f318(f243(x99791,x99791),x99792),x99793)),x99794))
% 182.43/182.08 [9999]P1(f318(x99991,x99992))+P1(f318(f318(f320(x99993),f408(x99991,x99994,x99995,x99996,x99993)),f318(x99994,f409(x99991,x99994,x99995,x99996,x99993))))+~P1(f318(f318(f320(x99993),x99992),f318(f318(f34(x99996,f905(x99993,a894)),x99995),x99994)))
% 182.43/182.08 [10150]P1(f318(f318(f320(x101501),f819(x101502,x101503,x101504,x101505,x101506,x101501)),x101505))+~P1(f318(f318(f226(f905(x101501,a894)),x101506),x101505))+P1(f318(f318(f226(f905(x101504,a894)),f318(f318(f35(x101501,f905(x101504,a894)),x101505),x101503)),f318(f318(f35(x101501,f905(x101504,a894)),x101505),x101502)))
% 182.43/182.08 [10276]~P1(f318(f318(f226(f905(x102761,a894)),f318(x102764,f819(x102765,x102764,x102761,x102763,x102766,x102762))),f318(x102765,f819(x102765,x102764,x102761,x102763,x102766,x102762))))+~P1(f318(f318(f226(f905(x102762,a894)),x102766),x102763))+P1(f318(f318(f226(f905(x102761,a894)),f318(f318(f35(x102762,f905(x102761,a894)),x102763),x102764)),f318(f318(f35(x102762,f905(x102761,a894)),x102763),x102765)))
% 182.43/182.08 [8988]~P16(x89883,x89884,x89881)+~P1(f318(f28(x89883),x89886))+E(f318(f318(x89881,x89882),f318(f318(f58(x89883,x89884,x89881),x89885),f318(f318(f23(f905(x89883,a894)),x89886),f318(f318(f300(x89883),x89882),f179(f905(x89883,a894)))))),f318(f318(f58(x89883,x89884,x89881),x89885),f318(f318(f300(x89883),x89882),x89886)))
% 182.43/182.08 [9286]~P1(f318(f318(f320(x92865),x92863),x92866))+P1(f318(f318(f226(f905(x92861,a894)),f318(x92862,x92863)),x92864))+~P1(f318(f318(f226(f905(x92861,a894)),f318(f318(f34(x92865,f905(x92861,a894)),x92866),x92862)),x92864))
% 182.43/182.08 [9923]~P8(x99231,x99235,x99234)+P1(f318(f318(f320(f904(x99231,x99231)),f318(f318(f243(x99231,x99231),x99232),x99233)),x99234))+~P1(f318(f318(f320(x99231),x99236),f318(f318(f92(f905(x99231,a894)),f318(f276(x99231,x99231,x99234),f318(f318(f300(x99231),x99232),f179(f905(x99231,a894))))),f318(f276(x99231,x99231,x99234),f318(f318(f300(x99231),x99233),f179(f905(x99231,a894)))))))
% 182.43/182.08 [8710]~P128(x87102)+~E(f318(f318(f75(x87102),f318(f318(f76(x87102),x87104),x87105)),x87101),f318(f318(f75(x87102),f318(f318(f76(x87102),x87103),x87105)),x87106))+E(x87101,f318(f318(f75(x87102),f318(f318(f76(x87102),f318(f318(f23(x87102),x87103),x87104)),x87105)),x87106))
% 182.43/182.08 [8711]~P128(x87111)+~E(f318(f318(f75(x87111),f318(f318(f76(x87111),x87112),x87114)),x87115),f318(f318(f75(x87111),f318(f318(f76(x87111),x87113),x87114)),x87116))+E(f318(f318(f75(x87111),f318(f318(f76(x87111),f318(f318(f23(x87111),x87112),x87113)),x87114)),x87115),x87116)
% 182.43/182.08 [8893]~P128(x88931)+E(f318(f318(f75(x88931),f318(f318(f76(x88931),x88932),x88933)),x88934),f318(f318(f75(x88931),f318(f318(f76(x88931),x88935),x88933)),x88936))+~E(x88936,f318(f318(f75(x88931),f318(f318(f76(x88931),f318(f318(f23(x88931),x88932),x88935)),x88933)),x88934))
% 182.43/182.08 [8894]~P128(x88941)+E(f318(f318(f75(x88941),f318(f318(f76(x88941),x88942),x88943)),x88944),f318(f318(f75(x88941),f318(f318(f76(x88941),x88945),x88943)),x88946))+~E(f318(f318(f75(x88941),f318(f318(f76(x88941),f318(f318(f23(x88941),x88942),x88945)),x88943)),x88944),x88946)
% 182.43/182.08 [9223]~P1(f318(f318(x92234,x92235),x92236))+~P1(f318(f318(x92233,x92235),x92236))+P1(f318(f318(f318(f318(f92(f905(x92231,f905(x92232,a894))),x92233),x92234),x92235),x92236))
% 182.43/182.08 [9487]P1(f318(f318(x94871,x94872),x94873))+P1(f318(f318(x94874,x94872),x94873))+~P1(f318(f318(f318(f318(f101(f905(x94875,f905(x94876,a894))),x94874),x94871),x94872),x94873))
% 182.43/182.08 [9788]~P136(x97881)+~P1(f318(f318(f226(x97881),f318(f318(f75(x97881),f318(f318(f76(x97881),x97884),x97885)),x97882)),f318(f318(f75(x97881),f318(f318(f76(x97881),x97883),x97885)),x97886)))+P1(f318(f318(f226(x97881),x97882),f318(f318(f75(x97881),f318(f318(f76(x97881),f318(f318(f23(x97881),x97883),x97884)),x97885)),x97886)))
% 182.43/182.08 [9789]~P136(x97891)+~P1(f318(f318(f227(x97891),f318(f318(f75(x97891),f318(f318(f76(x97891),x97894),x97895)),x97892)),f318(f318(f75(x97891),f318(f318(f76(x97891),x97893),x97895)),x97896)))+P1(f318(f318(f227(x97891),x97892),f318(f318(f75(x97891),f318(f318(f76(x97891),f318(f318(f23(x97891),x97893),x97894)),x97895)),x97896)))
% 182.43/182.08 [9812]~P136(x98121)+P1(f318(f318(f226(x98121),f318(f318(f75(x98121),f318(f318(f76(x98121),x98122),x98123)),x98124)),f318(f318(f75(x98121),f318(f318(f76(x98121),x98125),x98123)),x98126)))+~P1(f318(f318(f226(x98121),x98124),f318(f318(f75(x98121),f318(f318(f76(x98121),f318(f318(f23(x98121),x98125),x98122)),x98123)),x98126)))
% 182.43/182.08 [9813]~P136(x98131)+P1(f318(f318(f227(x98131),f318(f318(f75(x98131),f318(f318(f76(x98131),x98132),x98133)),x98134)),f318(f318(f75(x98131),f318(f318(f76(x98131),x98135),x98133)),x98136)))+~P1(f318(f318(f227(x98131),x98134),f318(f318(f75(x98131),f318(f318(f76(x98131),f318(f318(f23(x98131),x98135),x98132)),x98133)),x98136)))
% 182.43/182.08 [9915]~P136(x99151)+~P1(f318(f318(f226(x99151),f318(f318(f75(x99151),f318(f318(f76(x99151),x99152),x99154)),x99155)),f318(f318(f75(x99151),f318(f318(f76(x99151),x99153),x99154)),x99156)))+P1(f318(f318(f226(x99151),f318(f318(f75(x99151),f318(f318(f76(x99151),f318(f318(f23(x99151),x99152),x99153)),x99154)),x99155)),x99156))
% 182.43/182.08 [9916]~P136(x99161)+~P1(f318(f318(f227(x99161),f318(f318(f75(x99161),f318(f318(f76(x99161),x99162),x99164)),x99165)),f318(f318(f75(x99161),f318(f318(f76(x99161),x99163),x99164)),x99166)))+P1(f318(f318(f227(x99161),f318(f318(f75(x99161),f318(f318(f76(x99161),f318(f318(f23(x99161),x99162),x99163)),x99164)),x99165)),x99166))
% 182.43/182.08 [9962]~P136(x99621)+P1(f318(f318(f226(x99621),f318(f318(f75(x99621),f318(f318(f76(x99621),x99622),x99623)),x99624)),f318(f318(f75(x99621),f318(f318(f76(x99621),x99625),x99623)),x99626)))+~P1(f318(f318(f226(x99621),f318(f318(f75(x99621),f318(f318(f76(x99621),f318(f318(f23(x99621),x99622),x99625)),x99623)),x99624)),x99626))
% 182.43/182.08 [9963]~P136(x99631)+P1(f318(f318(f227(x99631),f318(f318(f75(x99631),f318(f318(f76(x99631),x99632),x99633)),x99634)),f318(f318(f75(x99631),f318(f318(f76(x99631),x99635),x99633)),x99636)))+~P1(f318(f318(f227(x99631),f318(f318(f75(x99631),f318(f318(f76(x99631),f318(f318(f23(x99631),x99632),x99635)),x99633)),x99634)),x99636))
% 182.43/182.08 [10135]~P74(x101352)+~P1(f318(f28(x101351),x101356))+E(f318(f318(f6(x101351,x101352),f318(f318(f18(x101351,x101352,x101352),f318(f318(f18(x101351,x101352,f905(x101352,x101352)),f318(f318(f8(a894,f905(x101352,f905(x101352,x101352)),x101351),f87(x101352)),x101353)),x101354)),x101355)),x101356),f318(f318(f75(x101352),f318(f318(f6(x101351,x101352),x101354),f318(f318(f92(f905(x101351,a894)),x101356),f318(f253(x101351),x101353)))),f318(f318(f6(x101351,x101352),x101355),f318(f318(f92(f905(x101351,a894)),x101356),f318(f74(f905(x101351,a894)),f318(f253(x101351),x101353))))))
% 182.43/182.08 [10195]P1(f318(f318(f320(x101952),x101954),x101956))+P1(f318(f318(f320(x101952),x101955),x101956))+E(f318(f302(x101951,x101952,f318(f318(f7(x101951,x101952,x101952),f318(f318(f7(x101951,x101952,f905(x101952,x101952)),f318(f318(f8(a894,f905(x101952,f905(x101952,x101952)),x101951),f87(x101952)),f318(f318(f7(x101951,f905(x101951,a894),a894),f320(x101951)),x101953))),x101954)),x101955)),x101956),f179(f905(x101951,a894)))
% 182.43/182.08 [10196]P1(f318(f318(f320(x101962),x101965),x101966))+~P1(f318(f318(f320(x101962),x101964),x101966))+E(f318(f302(x101961,x101962,f318(f318(f7(x101961,x101962,x101962),f318(f318(f7(x101961,x101962,f905(x101962,x101962)),f318(f318(f8(a894,f905(x101962,f905(x101962,x101962)),x101961),f87(x101962)),f318(f318(f7(x101961,f905(x101961,a894),a894),f320(x101961)),x101963))),x101964)),x101965)),x101966),x101963)
% 182.43/182.08 [10197]P1(f318(f318(f320(x101972),x101974),x101976))+~P1(f318(f318(f320(x101972),x101975),x101976))+E(f318(f302(x101971,x101972,f318(f318(f7(x101971,x101972,x101972),f318(f318(f7(x101971,x101972,f905(x101972,x101972)),f318(f318(f8(a894,f905(x101972,f905(x101972,x101972)),x101971),f87(x101972)),f318(f318(f7(x101971,f905(x101971,a894),a894),f320(x101971)),x101973))),x101974)),x101975)),x101976),f318(f74(f905(x101971,a894)),x101973))
% 182.43/182.08 [10198]~P1(f318(f318(f320(x101982),x101984),x101986))+~P1(f318(f318(f320(x101982),x101985),x101986))+E(f318(f302(x101981,x101982,f318(f318(f7(x101981,x101982,x101982),f318(f318(f7(x101981,x101982,f905(x101982,x101982)),f318(f318(f8(a894,f905(x101982,f905(x101982,x101982)),x101981),f87(x101982)),f318(f318(f7(x101981,f905(x101981,a894),a894),f320(x101981)),x101983))),x101984)),x101985)),x101986),f233(f905(x101981,a894)))
% 182.43/182.08 [8743]E(x87431,x87432)+~P55(x87434,x87435,x87433,x87436,x87437)+~E(f318(x87433,x87431),f318(x87433,x87432))
% 182.43/182.08 [8772]~P10(x87726,x87725,x87727,x87724,x87721)+E(f318(f318(x87721,x87722),x87723),x87724)+P1(f318(f28(x87725),x87723))
% 182.43/182.08 [9655]P41(x96551,x96552,x96553,x96554,x96555,f318(f318(x96553,x96556),x96557))+~E(f318(f318(x96553,x96556),x96557),x96554)+~E(x96555,f179(f905(x96551,a894)))
% 182.43/182.08 [9834]~P1(f318(x98346,x98343))+~P1(f318(f318(f320(f904(x98342,x98342)),f318(f318(f243(x98342,x98342),x98344),x98345)),f318(x98347,x98343)))+P1(f318(f318(f320(f904(f904(x98341,x98342),f904(x98341,x98342))),f318(f318(f243(f904(x98341,x98342),f904(x98341,x98342)),f318(f318(f243(x98341,x98342),x98343),x98344)),f318(f318(f243(x98341,x98342),x98343),x98345))),f271(x98341,x98342,x98346,x98347)))
% 182.43/182.08 [10260]~P41(x102602,x102607,x102603,x102606,x102601,f318(f318(x102603,x102605),x102604))+E(f318(f318(x102603,f644(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f661(x102604,x102605,x102601,x102606,x102603,x102607,x102602)),f318(f318(x102603,x102605),x102604))+E(x102601,f179(f905(x102602,a894)))
% 182.43/182.08 [10261]~P41(x102617,x102616,x102611,x102614,x102615,f318(f318(x102611,x102612),x102613))+E(f318(f318(x102611,f644(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f661(x102613,x102612,x102615,x102614,x102611,x102616,x102617)),f318(f318(x102611,x102612),x102613))+E(f318(f318(x102611,x102612),x102613),x102614)
% 182.43/182.08 [9320]~P33(x93201,x93202,x93203,x93205,x93207)+P33(x93201,x93202,x93203,f318(f318(f142(x93201),x93204),x93205),f318(f318(f142(x93202),x93206),x93207))+~P1(f318(f318(x93203,x93204),x93206))
% 182.43/182.08 [9339]P33(x93391,x93392,x93393,x93394,x93395)+~P33(x93391,x93392,x93393,f318(f318(f125(x93391),x93396),x93394),f318(f318(f125(x93392),x93397),x93395))+~E(f318(f180(f899(x93391)),x93396),f318(f180(f899(x93392)),x93397))
% 182.43/182.08 [9340]P33(x93401,x93402,x93403,x93404,x93405)+~P33(x93401,x93402,x93403,f318(f318(f125(x93401),x93404),x93406),f318(f318(f125(x93402),x93405),x93407))+~E(f318(f180(f899(x93401)),x93404),f318(f180(f899(x93402)),x93405))
% 182.43/182.08 [9554]~P33(x95541,x95542,x95543,x95545,x95547)+~P33(x95541,x95542,x95543,x95544,x95546)+P33(x95541,x95542,x95543,f318(f318(f125(x95541),x95544),x95545),f318(f318(f125(x95542),x95546),x95547))
% 182.43/182.08 [9908]~P1(f318(f60(x99081,x99084,x99085,x99086,x99083),x99087))+P1(f318(f60(x99081,x99084,x99085,x99086,f318(f318(f300(x99081),x99082),x99083)),f318(f318(x99085,x99082),x99087)))+P1(f318(f318(f320(x99081),x99082),x99083))
% 182.43/182.08 [10292]~P41(x102922,x102927,x102926,x102925,x102921,f318(f318(x102926,x102924),x102923))+E(x102921,f179(f905(x102922,a894)))+P1(f318(f318(f320(x102922),f644(x102923,x102924,x102921,x102925,x102926,x102927,x102922)),x102921))
% 182.43/182.08 [10293]~P41(x102935,x102937,x102931,x102934,x102936,f318(f318(x102931,x102932),x102933))+E(f318(f318(x102931,x102932),x102933),x102934)+P1(f318(f318(f320(x102935),f644(x102933,x102932,x102936,x102934,x102931,x102937,x102935)),x102936))
% 182.43/182.08 [10380]E(f318(f318(f243(x103801,x103802),x103803),x103804),f318(f318(f243(x103801,x103802),x103805),x103806))+P1(f318(f318(f320(f904(f904(x103801,x103802),f904(x103801,x103802))),f318(f318(f243(f904(x103801,x103802),f904(x103801,x103802)),f318(f318(f243(x103801,x103802),f824(x103807,x103804,x103803,x103806,x103805,x103802,x103801)),f829(x103807,x103804,x103803,x103806,x103805,x103802,x103801))),f318(f318(f243(x103801,x103802),x103803),x103804))),f298(f904(x103801,x103802),x103807)))+~P1(f318(f318(f320(f904(f904(x103801,x103802),f904(x103801,x103802))),f318(f318(f243(f904(x103801,x103802),f904(x103801,x103802)),f318(f318(f243(x103801,x103802),x103805),x103806)),f318(f318(f243(x103801,x103802),x103803),x103804))),f298(f904(x103801,x103802),x103807)))
% 182.43/182.08 [9013]~P21(x90134,x90135,x90136,x90137,x90131)+~P1(f318(f28(x90135),x90133))+E(f318(f318(x90131,x90132),x90133),f318(f318(f318(f59(x90134,x90135,x90136),x90132),x90137),x90133))
% 182.43/182.08 [9014]~P10(x90144,x90145,x90146,x90147,x90141)+~P1(f318(f28(x90145),x90143))+E(f318(f318(x90141,x90142),x90143),f318(f318(f318(f59(x90144,x90145,x90146),x90142),x90147),x90143))
% 182.43/182.08 [9807]~P23(x98073,x98074,x98075,x98077,x98076,x98071)+~P1(f318(f28(x98074),x98072))+E(f318(x98071,x98072),f318(f318(f318(f59(x98073,x98074,x98075),x98076),x98077),x98072))
% 182.43/182.08 [9957]P41(x99571,x99572,x99573,x99574,x99575,f318(f318(x99573,x99576),x99577))+~P41(x99571,x99572,x99573,x99574,f318(f318(f23(f905(x99571,a894)),x99575),f318(f318(f300(x99571),x99576),f179(f905(x99571,a894)))),x99577)+~P1(f318(f318(f320(x99571),x99576),x99575))
% 182.43/182.08 [10316]P1(f318(f318(x103167,f771(x103164,x103165,x103161,x103166,x103163,x103162,x103167)),f769(x103164,x103165,x103161,x103166,x103163,x103162,x103167)))+~P1(f318(f318(x103167,f318(f247(x103162,x103163),x103166)),f318(f242(x103162,x103163),x103166)))+P1(f318(x103161,f318(f318(f248(x103162,x103163,x103164),x103165),x103166)))
% 182.43/182.08 [10326]~P41(x103262,x103263,x103264,x103265,x103261,f318(f318(x103264,x103267),x103266))+P41(x103262,x103263,x103264,x103265,f318(f318(f23(f905(x103262,a894)),x103261),f318(f318(f300(x103262),f644(x103266,x103267,x103261,x103265,x103264,x103263,x103262)),f179(f905(x103262,a894)))),f661(x103266,x103267,x103261,x103265,x103264,x103263,x103262))+E(x103261,f179(f905(x103262,a894)))
% 182.43/182.08 [10327]~P41(x103275,x103276,x103271,x103274,x103277,f318(f318(x103271,x103272),x103273))+P41(x103275,x103276,x103271,x103274,f318(f318(f23(f905(x103275,a894)),x103277),f318(f318(f300(x103275),f644(x103273,x103272,x103277,x103274,x103271,x103276,x103275)),f179(f905(x103275,a894)))),f661(x103273,x103272,x103277,x103274,x103271,x103276,x103275))+E(f318(f318(x103271,x103272),x103273),x103274)
% 182.43/182.08 [10347]~P1(f318(x103471,f318(f318(x103475,f769(x103474,x103475,x103471,x103476,x103473,x103472,x103477)),f771(x103474,x103475,x103471,x103476,x103473,x103472,x103477))))+~P1(f318(f318(x103477,f318(f247(x103472,x103473),x103476)),f318(f242(x103472,x103473),x103476)))+P1(f318(x103471,f318(f318(f248(x103472,x103473,x103474),x103475),x103476)))
% 182.43/182.08 [9640]P1(f318(f318(f226(f905(f904(x96401,x96402),a894)),f318(f318(f280(x96401,x96403,x96402),x96404),x96405)),f318(f318(f280(x96401,x96403,x96402),x96406),x96407)))+~P1(f318(f318(f226(f905(f904(x96403,x96402),a894)),x96405),x96407))+~P1(f318(f318(f226(f905(f904(x96401,x96403),a894)),x96404),x96406))
% 182.43/182.08 [10374]E(f318(f318(f243(x103741,x103742),x103743),x103744),f318(f318(f243(x103741,x103742),x103745),x103746))+~P1(f318(f318(f320(f904(f904(x103741,x103742),f904(x103741,x103742))),f318(f318(f243(f904(x103741,x103742),f904(x103741,x103742)),f318(f318(f243(x103741,x103742),x103743),x103744)),f318(f318(f243(x103741,x103742),x103745),x103746))),f298(f904(x103741,x103742),x103747)))+P1(f318(f318(f320(f904(f904(x103741,x103742),f904(x103741,x103742))),f318(f318(f243(f904(x103741,x103742),f904(x103741,x103742)),f318(f318(f243(x103741,x103742),x103743),x103744)),f318(f318(f243(x103741,x103742),f824(x103747,x103746,x103745,x103744,x103743,x103742,x103741)),f829(x103747,x103746,x103745,x103744,x103743,x103742,x103741)))),x103747))
% 182.43/182.08 [9968]~P1(f318(f318(f320(x99681),x99686),x99685))+P1(f318(f60(x99681,x99682,x99683,x99684,x99685),f318(f318(x99683,x99686),x99687)))+~P1(f318(f60(x99681,x99682,x99683,x99684,f318(f318(f23(f905(x99681,a894)),x99685),f318(f318(f300(x99681),x99686),f179(f905(x99681,a894))))),x99687))
% 182.43/182.08 [10387]~P140(x103871)+~P24(f904(x103872,x103873),x103871,f318(f248(x103872,x103873,x103871),f318(f318(f7(x103872,f905(x103873,x103871),f905(x103873,x103871)),f318(f318(f8(f905(x103871,x103871),f905(f905(x103873,x103871),f905(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f318(f318(f8(x103871,f905(x103871,x103871),x103872),f76(x103871)),x103874))),x103875)),f318(f318(f245(x103872,x103873),x103876),f318(f16(f905(x103873,a894),x103872),x103877)))+E(f318(f318(f6(x103871,x103871),f25(x103871)),f318(f253(x103871),f318(f318(f8(f905(x103872,a894),a894,x103871),f82(x103872)),f318(f318(f8(f905(x103872,f905(x103873,a894)),f905(x103872,a894),x103871),f318(f8(f905(x103873,a894),a894,x103872),f82(x103873))),f318(f318(f7(x103871,f905(x103872,f905(x103873,a894)),f905(x103872,f905(x103873,a894))),f318(f318(f8(f905(x103872,f905(f905(x103873,a894),f905(x103873,a894))),f905(f905(x103872,f905(x103873,a894)),f905(x103872,f905(x103873,a894))),x103871),f18(x103872,f905(x103873,a894),f905(x103873,a894))),f318(f318(f8(f905(x103872,f905(x103873,f905(a894,a894))),f905(x103872,f905(f905(x103873,a894),f905(x103873,a894))),x103871),f318(f8(f905(x103873,f905(a894,a894)),f905(f905(x103873,a894),f905(x103873,a894)),x103872),f18(x103873,a894,a894))),f318(f318(f8(f905(x103872,f905(x103873,a894)),f905(x103872,f905(x103873,f905(a894,a894))),x103871),f318(f8(f905(x103873,a894),f905(x103873,f905(a894,a894)),x103872),f318(f8(a894,f905(a894,a894),x103873),a316))),f318(f318(f7(x103871,f905(x103872,f905(x103873,x103871)),f905(x103872,f905(x103873,a894))),f318(f318(f8(f905(f905(x103873,x103871),f905(x103873,a894)),f905(f905(x103872,f905(x103873,x103871)),f905(x103872,f905(x103873,a894))),x103871),f8(f905(x103873,x103871),f905(x103873,a894),x103872)),f318(f318(f8(f905(x103871,a894),f905(f905(x103873,x103871),f905(x103873,a894)),x103871),f8(x103871,a894,x103873)),a315))),f318(f318(f7(x103872,f905(x103873,x103871),f905(x103873,x103871)),f318(f318(f8(f905(x103871,x103871),f905(f905(x103873,x103871),f905(x103873,x103871)),x103872),f8(x103871,x103871,x103873)),f318(f318(f8(x103871,f905(x103871,x103871),x103872),f76(x103871)),x103874))),x103875)))))),f318(f318(f7(x103872,f905(x103873,a894),f905(x103873,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x103873,a894),f905(x103873,a894)),x103872),f8(a894,a894,x103873)),f318(f318(f8(a894,f905(a894,a894),x103872),a316),f318(f318(f7(x103872,f905(x103872,a894),a894),f320(x103872)),x103876)))),f318(f318(f7(x103873,f905(x103873,a894),a894),f320(x103873)),x103877))))))),f318(f318(f76(x103871),f318(f318(f6(x103872,x103871),x103874),x103876)),f318(f318(f6(x103873,x103871),x103875),x103877)))
% 182.43/182.08 [9644]~P25(x96441,x96443,x96445,x96446,x96448)+~P25(x96443,x96442,x96444,x96448,x96447)+P25(x96441,x96442,f318(f67(x96443,x96442,x96441,x96444),x96445),x96446,x96447)
% 182.43/182.08 [9673]P25(x96731,x96732,x96733,x96734,x96735)+~P25(x96736,x96731,x96737,x96738,x96734)+~P25(x96736,x96732,f318(f67(x96731,x96732,x96736,x96733),x96737),x96738,x96735)
% 182.43/182.08 [9805]~P1(f318(f318(x98054,x98056),x98058))+~P1(f318(f318(x98055,x98058),x98057))+P1(f318(f318(f244(x98051,x98052,x98053,x98054,x98055),x98056),x98057))
% 182.43/182.08 [9394]~P19(x93948,x93941,x93943,x93945)+~P1(f318(f28(x93948),x93946))+E(f318(f67(x93941,x93941,x93942,f318(x93943,x93944)),f318(f67(x93941,x93941,x93942,f318(x93945,x93946)),x93947)),f318(f67(x93941,x93941,x93942,f318(x93945,x93946)),f318(f67(x93941,x93941,x93942,f318(x93943,x93944)),x93947)))
% 182.43/182.08 [9795]~P22(x97957,x97952,x97955,x97958,x97956,x97951)+~P1(f318(f28(x97952),x97954))+E(f318(x97951,f318(f318(f300(x97952),x97953),x97954)),f318(f318(x97955,f318(x97956,x97953)),f318(x97951,x97954)))
% 182.43/182.08 [9913]~P24(x99132,x99134,x99136,x99138)+~P24(x99131,x99133,x99135,x99137)+P24(f904(x99131,x99132),f904(x99133,x99134),f249(x99131,x99133,x99132,x99134,x99135,x99136),f318(f318(f245(x99131,x99132),x99137),f318(f16(f905(x99132,a894),x99131),x99138)))
% 182.43/182.08 [9580]P1(f318(f318(f320(f904(x95801,x95802)),f318(f318(f243(x95801,x95802),x95803),x95804)),f318(f318(f280(x95801,x95805,x95802),x95806),x95807)))+~P1(f318(f318(f320(f904(x95801,x95805)),f318(f318(f243(x95801,x95805),x95803),x95808)),x95806))+~P1(f318(f318(f320(f904(x95805,x95802)),f318(f318(f243(x95805,x95802),x95808),x95804)),x95807))
% 182.43/182.08 [9776]~P1(f318(f318(f226(f905(f904(x97763,x97762),a894)),x97765),f318(f318(f245(x97763,x97762),x97768),f318(f16(f905(x97762,a894),x97763),x97767))))+~P1(f318(f318(f226(f905(f904(x97761,x97763),a894)),x97764),f318(f318(f245(x97761,x97763),x97766),f318(f16(f905(x97763,a894),x97761),x97768))))+P1(f318(f318(f226(f905(f904(x97761,x97762),a894)),f318(f318(f280(x97761,x97763,x97762),x97764),x97765)),f318(f318(f245(x97761,x97762),x97766),f318(f16(f905(x97762,a894),x97761),x97767))))
% 182.43/182.08 [9829]~E(x98293,x98295)+P1(f318(f318(f320(f904(f904(x98291,x98292),f904(x98291,x98292))),f318(f318(f243(f904(x98291,x98292),f904(x98291,x98292)),f318(f318(f243(x98291,x98292),x98293),x98294)),f318(f318(f243(x98291,x98292),x98295),x98296))),f310(x98291,x98292,x98297,x98298)))+~P1(f318(f318(f320(f904(x98292,x98292)),f318(f318(f243(x98292,x98292),x98294),x98296)),x98298))
% 182.43/182.08 [9932]E(x99321,x99322)+~P1(f318(f318(f320(f904(f904(x99323,x99325),f904(x99323,x99325))),f318(f318(f243(f904(x99323,x99325),f904(x99323,x99325)),f318(f318(f243(x99323,x99325),x99321),x99326)),f318(f318(f243(x99323,x99325),x99322),x99327))),f310(x99323,x99325,x99324,x99328)))+P1(f318(f318(f320(f904(x99323,x99323)),f318(f318(f243(x99323,x99323),x99321),x99322)),x99324))
% 182.43/182.08 [9947]~P1(f318(f318(f320(f904(f904(x99471,x99475),f904(x99471,x99475))),f318(f318(f243(f904(x99471,x99475),f904(x99471,x99475)),f318(f318(f243(x99471,x99475),x99472),x99476)),f318(f318(f243(x99471,x99475),x99473),x99477))),f310(x99471,x99475,x99474,x99478)))+P1(f318(f318(f320(f904(x99471,x99471)),f318(f318(f243(x99471,x99471),x99472),x99473)),x99474))+P1(f318(f318(f320(f904(x99475,x99475)),f318(f318(f243(x99475,x99475),x99476),x99477)),x99478))
% 182.43/182.08 [9864]~P23(x98647,x98645,x98641,x98648,x98642,x98644)+~P1(f318(f28(x98645),x98646))+E(f318(f318(x98641,f318(x98642,x98643)),f318(x98644,f318(f318(f23(f905(x98645,a894)),x98646),f318(f318(f300(x98645),x98643),f179(f905(x98645,a894)))))),f318(x98644,f318(f318(f300(x98645),x98643),x98646)))
% 182.43/182.08 [9346]~P1(f318(f318(f318(x93465,x93468),x93466),x93467))+~P1(f318(f318(f320(x93461),x93468),x93464))+P1(f318(f318(f318(f318(f34(x93461,f905(x93462,f905(x93463,a894))),x93464),x93465),x93466),x93467))
% 182.43/182.08 [9565]P1(f318(f318(f318(x95651,x95652),x95653),x95654))+~P1(f318(f318(f320(x95655),x95652),x95656))+~P1(f318(f318(f318(f318(f35(x95655,f905(x95657,f905(x95658,a894))),x95656),x95651),x95653),x95654))
% 182.43/182.08 [9769]~P21(x97693,x97692,x97694,x97698,x97691)+~P1(f318(f28(x97692),x97697))+E(f318(f318(x97691,f318(f318(f18(x97692,x97693,x97693),f318(f318(f8(x97693,f905(x97693,x97693),x97692),x97694),x97695)),x97696)),x97697),f318(f318(x97694,f318(f318(x97691,x97695),x97697)),f318(f318(x97691,x97696),x97697)))
% 182.43/182.08 [10033]~E(f318(f301(x100332,x100334,x100336),x100338),x1003310)+~E(f318(f301(x100331,x100333,x100335),x100337),x100339)+E(f318(f301(f904(x100331,x100332),f904(x100333,x100334),f249(x100331,x100333,x100332,x100334,x100335,x100336)),f318(f318(f245(x100331,x100332),x100337),f318(f16(f905(x100332,a894),x100331),x100338))),f318(f318(f245(x100333,x100334),x100339),f318(f16(f905(x100334,a894),x100333),x1003310)))
% 182.43/182.08 [4944]~P42(x49441,x49442)+~P48(x49441,x49442)+~P49(x49441,x49442)+P7(x49441,x49442)
% 182.43/182.08 [4900]~P82(x49002)+~P13(x49002,x49001)+P13(x49002,f105(x49002,x49001))+E(x49001,f104(x49002))
% 182.43/182.08 [4901]~P82(x49012)+~P13(x49012,x49011)+P13(x49012,f687(x49011,x49012))+E(x49011,f104(x49012))
% 182.43/182.08 [5148]~P5(x51482)+E(f10(x51482,x51481),f32(x51482,x51481))+E(x51481,f179(f905(x51482,a894)))+~P1(f318(f28(x51482),x51481))
% 182.43/182.08 [5149]~P5(x51492)+E(f13(x51492,x51491),f31(x51492,x51491))+E(x51491,f179(f905(x51492,a894)))+~P1(f318(f28(x51492),x51491))
% 182.43/182.08 [5306]~P82(x53062)+~P13(x53062,x53061)+E(x53061,f104(x53062))+E(f318(f318(f142(x53062),f707(x53061,x53062)),f687(x53061,x53062)),x53061)
% 182.43/182.08 [6129]~P83(x61292)+E(x61291,f179(f905(x61292,a894)))+P1(f318(f318(f226(x61292),f10(x61292,x61291)),f13(x61292,x61291)))+~P1(f318(f28(x61292),x61291))
% 182.43/182.08 [6140]~P39(x61402)+~P39(x61401)+E(x61401,x61402)+~E(f318(f301(a1,a898,a95),x61401),f318(f301(a1,a898,a95),x61402))
% 182.43/182.08 [9201]~P110(x92011)+~P1(f318(f318(f320(x92011),x92012),f100(x92011)))+P1(f318(f318(f227(x92011),f318(f318(f75(x92011),f318(f318(f75(x92011),f73(x92011)),x92012)),x92012)),f2(x92011)))+~P1(f318(f318(f227(x92011),x92012),f2(x92011)))
% 182.43/182.08 [9447]~P110(x94471)+~P1(f318(f318(f320(x94471),x94472),f100(x94471)))+~P1(f318(f318(f227(x94471),f318(f318(f75(x94471),f318(f318(f75(x94471),f73(x94471)),x94472)),x94472)),f2(x94471)))+P1(f318(f318(f227(x94471),x94472),f2(x94471)))
% 182.43/182.08 [4959]~P140(x49592)+~P113(x49592)+E(x49591,f2(a898))+E(f318(f318(f235(x49592),f2(x49592)),x49591),f2(x49592))
% 182.43/182.08 [4962]~P140(x49621)+~P113(x49621)+~E(x49622,f2(a898))+E(f318(f318(f235(x49621),f2(x49621)),x49622),f73(x49621))
% 182.43/182.08 [5134]~P142(x51342)+E(x51341,f73(x51342))+E(x51341,f318(f74(x51342),f73(x51342)))+~E(f318(f318(f76(x51342),x51341),x51341),f73(x51342))
% 182.43/182.08 [5383]~P92(x53832)+E(x53831,f2(x53832))+E(f77(x53832,x53831),f318(f74(x53832),f73(x53832)))+P1(f318(f318(f227(x53832),f2(x53832)),x53831))
% 182.43/182.08 [5625]~P92(x56252)+E(f77(x56252,x56251),f73(x56252))+E(x56251,f2(x56252))+~P1(f318(f318(f227(x56252),f2(x56252)),x56251))
% 182.43/182.08 [5634]E(x56341,x56342)+~E(f318(f94(a898),x56341),f318(f94(a898),x56342))+P1(f318(a184,f318(f94(a1),x56342)))+P1(f318(a184,f318(f94(a1),x56341)))
% 182.43/182.08 [5685]~P94(x56851)+~E(x56852,f2(x56851))+E(f318(f318(f75(x56851),x56852),x56852),f2(x56851))+~P1(f318(f318(f320(x56851),x56852),f100(x56851)))
% 182.43/182.08 [5724]E(x57241,f2(a1))+~E(f318(f318(f30(a1),x57242),x57241),f2(a1))+P1(f318(f318(f227(a1),x57241),x57242))+P1(f318(f318(f227(a1),x57242),x57241))
% 182.43/182.08 [5754]E(x57541,f2(a1))+~E(f318(f318(f30(a1),x57542),x57541),f2(a1))+P1(f318(f318(f226(a1),x57542),f2(a1)))+P1(f318(f318(f227(a1),x57542),x57541))
% 182.43/182.08 [5788]E(x57881,f2(a1))+~E(f318(f318(f30(a1),x57882),x57881),f2(a1))+P1(f318(f318(f226(a1),f2(a1)),x57882))+P1(f318(f318(f227(a1),x57881),x57882))
% 182.43/182.08 [5823]~P94(x58232)+E(x58231,f2(x58232))+~E(f318(f318(f75(x58232),x58231),x58231),f2(x58232))+~P1(f318(f318(f320(x58232),x58231),f100(x58232)))
% 182.43/182.08 [5894]E(f318(f94(a898),x58941),f318(f94(a898),x58942))+~E(f318(f94(a1),x58942),f2(a1))+P1(f318(a184,f318(f94(a1),x58942)))+~P1(f318(a184,f318(f94(a1),x58941)))
% 182.43/182.08 [5923]~E(f318(f94(a898),x59232),f318(f94(a898),x59231))+E(f318(f94(a1),x59231),f2(a1))+P1(f318(a184,f318(f94(a1),x59231)))+~P1(f318(a184,f318(f94(a1),x59232)))
% 182.43/182.08 [5933]~P82(x59332)+E(x59331,f179(f905(x59332,a894)))+~P1(f318(f28(x59332),x59331))+P1(f318(f318(f320(x59332),f14(x59332,x59331)),x59331))
% 182.43/182.08 [5934]~P82(x59342)+E(x59341,f179(f905(x59342,a894)))+~P1(f318(f28(x59342),x59341))+P1(f318(f318(f320(x59342),f15(x59342,x59341)),x59341))
% 182.43/182.08 [6106]~P110(x61061)+~P95(x61061)+P1(f318(f318(f226(x61061),f2(x61061)),f318(f94(x61061),x61062)))+~P1(f318(f318(f226(a1),a78),x61062))
% 182.43/182.08 [6107]~P110(x61071)+~P95(x61071)+P1(f318(f318(f227(x61071),f2(x61071)),f318(f94(x61071),x61072)))+~P1(f318(f318(f227(a1),a78),x61072))
% 182.43/182.08 [6128]~P110(x61281)+~P95(x61281)+E(f318(f70(x61281),f318(f94(x61281),x61282)),f318(f94(x61281),x61282))+P1(f318(f318(f227(x61281),f318(f94(x61281),x61282)),f2(x61281)))
% 182.43/182.08 [6164]E(x61641,x61642)+~E(f318(a95,x61641),f318(a95,x61642))+~P1(f318(f318(f226(a1),f2(a1)),x61642))+~P1(f318(f318(f226(a1),f2(a1)),x61641))
% 182.43/182.08 [6365]~P95(x63652)+~P110(x63652)+~P1(f318(f318(f226(x63652),f2(x63652)),f318(f94(x63652),x63651)))+P1(f318(f318(f226(a1),a78),x63651))
% 182.43/182.08 [6366]~P95(x63662)+~P110(x63662)+~P1(f318(f318(f227(x63662),f2(x63662)),f318(f94(x63662),x63661)))+P1(f318(f318(f227(a1),a78),x63661))
% 182.43/182.08 [6371]~P110(x63711)+~P95(x63711)+P1(f318(f318(f226(x63711),f318(f94(x63711),x63712)),f2(x63711)))+~P1(f318(f318(f226(a1),x63712),a78))
% 182.43/182.08 [6372]~P110(x63721)+~P95(x63721)+P1(f318(f318(f227(x63721),f318(f94(x63721),x63722)),f2(x63721)))+~P1(f318(f318(f227(a1),x63722),a78))
% 182.43/182.08 [6698]~P95(x66982)+~P110(x66982)+~P1(f318(f318(f226(x66982),f318(f94(x66982),x66981)),f2(x66982)))+P1(f318(f318(f226(a1),x66981),a78))
% 182.43/182.08 [6699]~P95(x66992)+~P110(x66992)+~P1(f318(f318(f227(x66992),f318(f94(x66992),x66991)),f2(x66992)))+P1(f318(f318(f227(a1),x66991),a78))
% 182.43/182.08 [6792]~P110(x67921)+~P95(x67921)+E(f318(f70(x67921),f318(f94(x67921),x67922)),f318(f74(x67921),f318(f94(x67921),x67922)))+~P1(f318(f318(f227(x67921),f318(f94(x67921),x67922)),f2(x67921)))
% 182.43/182.08 [6811]E(f318(f94(a898),x68111),f318(f94(a898),x68112))+~E(f318(f94(a1),x68112),f2(a1))+~P1(f318(f318(f226(a1),f318(f94(a1),x68111)),f2(a1)))+~P1(f318(a184,f318(f94(a1),x68111)))
% 182.43/182.08 [7697]~P82(x76972)+E(x76971,f179(f905(x76972,a894)))+~P1(f318(f28(x76972),x76971))+P1(f318(f318(f226(x76972),f11(x76972,f224(x76972),x76971)),f12(x76972,f225(x76972),x76971)))
% 182.43/182.08 [8017]~P6(x80171)+~P39(x80172)+P1(f318(f318(f320(a1),x80171),x80172))+~P1(f318(f318(f320(a898),f318(a95,x80171)),f318(f301(a1,a898,a95),x80172)))
% 182.43/182.08 [5929]~P127(x59292)+E(x59291,f2(a1))+E(f318(f74(x59292),f318(f93(x59292),f318(f74(a1),x59291))),f318(f93(x59292),x59291))+~P1(f318(f318(f227(a1),x59291),f2(a1)))
% 182.43/182.08 [6008]~P94(x60081)+~P95(x60081)+~P27(x60081,f318(f94(x60081),x60082))+P27(x60081,f318(f94(x60081),f318(f318(f75(a1),x60082),x60082)))
% 182.43/182.08 [6354]~P76(x63542)+E(x63541,f179(f905(x63542,a894)))+E(f15(x63542,f318(f301(x63542,x63542,f74(x63542)),x63541)),f318(f74(x63542),f14(x63542,x63541)))+~P1(f318(f28(x63542),x63541))
% 182.43/182.08 [6355]~P76(x63552)+E(x63551,f179(f905(x63552,a894)))+E(f14(x63552,f318(f301(x63552,x63552,f74(x63552)),x63551)),f318(f74(x63552),f15(x63552,x63551)))+~P1(f318(f28(x63552),x63551))
% 182.43/182.08 [6389]~P94(x63891)+~P95(x63891)+P27(x63891,f318(f94(x63891),x63892))+~P27(x63891,f318(f94(x63891),f318(f318(f75(a1),x63892),x63892)))
% 182.43/182.08 [6483]E(x64831,f2(a1))+E(f318(a46,f45(f318(f74(a1),x64831),f318(f74(a1),x64832))),f41(x64831,x64832))+P1(f318(f318(f226(a1),f2(a1)),x64832))+~P1(f318(f318(f226(a1),f2(a1)),x64831))
% 182.43/182.08 [8800]~P39(x88002)+~P39(x88001)+P1(f318(f318(f227(f905(a898,a894)),f318(f301(a1,a898,a95),x88001)),f318(f301(a1,a898,a95),x88002)))+~P1(f318(f318(f227(f905(a1,a894)),x88001),x88002))
% 182.43/182.08 [9033]~E(f709(x90332,x90331),f710(x90332,x90331))+~P1(f318(f128(x90331),f711(x90332,x90331)))+~P1(f318(f128(f899(x90331)),x90332))+P1(f318(f128(x90331),f318(f133(f899(x90331),f899(x90331),f125(x90331),f104(x90331)),x90332)))
% 182.43/182.08 [9121]~P39(x91212)+~P39(x91211)+~P1(f318(f318(f226(f905(a898,a894)),f318(f301(a1,a898,a95),x91211)),f318(f301(a1,a898,a95),x91212)))+P1(f318(f318(f226(f905(a1,a894)),x91211),x91212))
% 182.43/182.08 [9122]~P39(x91222)+~P39(x91221)+~P1(f318(f318(f227(f905(a898,a894)),f318(f301(a1,a898,a95),x91221)),f318(f301(a1,a898,a95),x91222)))+P1(f318(f318(f227(f905(a1,a894)),x91221),x91222))
% 182.43/182.08 [9128]~E(f709(x91282,x91281),f710(x91282,x91281))+~P1(f318(f128(f899(x91281)),x91282))+P1(f318(f128(x91281),f318(f133(f899(x91281),f899(x91281),f125(x91281),f104(x91281)),x91282)))+P1(f318(f318(f320(f899(x91281)),f711(x91282,x91281)),f318(f163(f899(x91281)),x91282)))
% 182.43/182.08 [9169]~P1(f318(f128(x91691),f711(x91692,x91691)))+~P1(f318(f128(f899(x91691)),x91692))+P1(f318(f128(x91691),f318(f133(f899(x91691),f899(x91691),f125(x91691),f104(x91691)),x91692)))+P1(f318(f318(f320(f899(x91691)),f710(x91692,x91691)),f318(f163(f899(x91691)),x91692)))
% 182.43/182.08 [9170]~P1(f318(f128(x91701),f711(x91702,x91701)))+~P1(f318(f128(f899(x91701)),x91702))+P1(f318(f128(x91701),f318(f133(f899(x91701),f899(x91701),f125(x91701),f104(x91701)),x91702)))+P1(f318(f318(f320(f899(x91701)),f709(x91702,x91701)),f318(f163(f899(x91701)),x91702)))
% 182.43/182.08 [9248]~P1(f318(f128(f899(x92481)),x92482))+P1(f318(f128(x92481),f318(f133(f899(x92481),f899(x92481),f125(x92481),f104(x92481)),x92482)))+P1(f318(f318(f320(f899(x92481)),f710(x92482,x92481)),f318(f163(f899(x92481)),x92482)))+P1(f318(f318(f320(f899(x92481)),f711(x92482,x92481)),f318(f163(f899(x92481)),x92482)))
% 182.43/182.08 [9249]~P1(f318(f128(f899(x92491)),x92492))+P1(f318(f128(x92491),f318(f133(f899(x92491),f899(x92491),f125(x92491),f104(x92491)),x92492)))+P1(f318(f318(f320(f899(x92491)),f709(x92492,x92491)),f318(f163(f899(x92491)),x92492)))+P1(f318(f318(f320(f899(x92491)),f711(x92492,x92491)),f318(f163(f899(x92491)),x92492)))
% 182.43/182.08 [9263]~E(f318(f318(f92(f905(x92631,a894)),f318(f163(x92631),f710(x92632,x92631))),f318(f163(x92631),f709(x92632,x92631))),f179(f905(x92631,a894)))+~P1(f318(f128(x92631),f711(x92632,x92631)))+~P1(f318(f128(f899(x92631)),x92632))+P1(f318(f128(x92631),f318(f133(f899(x92631),f899(x92631),f125(x92631),f104(x92631)),x92632)))
% 182.43/182.08 [9326]~E(f318(f318(f92(f905(x93261,a894)),f318(f163(x93261),f710(x93262,x93261))),f318(f163(x93261),f709(x93262,x93261))),f179(f905(x93261,a894)))+~P1(f318(f128(f899(x93261)),x93262))+P1(f318(f128(x93261),f318(f133(f899(x93261),f899(x93261),f125(x93261),f104(x93261)),x93262)))+P1(f318(f318(f320(f899(x93261)),f711(x93262,x93261)),f318(f163(f899(x93261)),x93262)))
% 182.43/182.08 [9613]E(x96131,f2(a1))+E(x96132,f2(a1))+E(f318(f318(f81(a1,f904(a1,a1)),f318(f318(a208,x96132),x96131)),f318(f318(f18(a1,a1,f904(a1,a1)),f318(f318(f8(a1,f905(a1,f904(a1,a1)),a1),f243(a1,a1)),f318(f30(a1),x96132))),f318(f30(a1),x96131))),f206(x96132,x96131))+P1(f318(f318(f227(a1),x96131),f2(a1)))
% 182.43/182.08 [8343]~P95(x83432)+~P110(x83432)+~P1(f318(f318(f226(x83432),f318(f94(x83432),x83431)),f73(x83432)))+P1(f318(f318(f226(a1),x83431),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))
% 182.43/182.08 [8344]~P95(x83442)+~P110(x83442)+~P1(f318(f318(f227(x83442),f318(f94(x83442),x83441)),f73(x83442)))+P1(f318(f318(f227(a1),x83441),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))
% 182.43/182.08 [8616]~P110(x86161)+~P95(x86161)+P1(f318(f318(f226(x86161),f318(f94(x86161),x86162)),f73(x86161)))+~P1(f318(f318(f226(a1),x86162),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))
% 182.43/182.08 [8617]~P110(x86171)+~P95(x86171)+P1(f318(f318(f227(x86171),f318(f94(x86171),x86172)),f73(x86171)))+~P1(f318(f318(f227(a1),x86172),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))
% 182.43/182.08 [8828]~P95(x88282)+~P110(x88282)+~P1(f318(f318(f226(x88282),f73(x88282)),f318(f94(x88282),x88281)))+P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),x88281))
% 182.43/182.08 [8829]~P95(x88292)+~P110(x88292)+~P1(f318(f318(f227(x88292),f73(x88292)),f318(f94(x88292),x88291)))+P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),x88291))
% 182.43/182.08 [9207]~P110(x92071)+~P95(x92071)+P1(f318(f318(f226(x92071),f73(x92071)),f318(f94(x92071),x92072)))+~P1(f318(f318(f226(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),x92072))
% 182.43/182.08 [9208]~P110(x92081)+~P95(x92081)+P1(f318(f318(f227(x92081),f73(x92081)),f318(f94(x92081),x92082)))+~P1(f318(f318(f227(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),x92082))
% 182.43/182.08 [9742]~P142(x97422)+E(x97421,f73(x97422))+E(x97421,f318(f74(x97422),f73(x97422)))+~E(f318(f318(f235(x97422),x97421),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f73(x97422))
% 182.43/182.08 [10009]~P62(x100091)+~P95(x100091)+~P1(f318(f318(f227(x100091),f2(x100091)),x100092))+P1(f318(f318(f227(x100091),f2(x100091)),f318(f318(f282(x100091),x100092),f318(f94(x100091),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.43/182.08 [10061]~P62(x100611)+~P95(x100611)+P1(f318(f318(f227(x100611),f2(x100611)),x100612))+~P1(f318(f318(f227(x100611),f2(x100611)),f318(f318(f282(x100611),x100612),f318(f94(x100611),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.43/182.08 [10354]~P127(x103542)+E(x103541,f2(a1))+P1(f318(f318(f227(a1),x103541),f2(a1)))+E(f318(f318(f248(a1,a1,x103542),f318(f318(f7(a1,f905(a1,f905(x103542,x103542)),f905(a1,x103542)),f318(f318(f8(f905(f905(x103542,x103542),x103542),f905(f905(a1,f905(x103542,x103542)),f905(a1,x103542)),a1),f8(f905(x103542,x103542),x103542,a1)),f318(f318(f8(x103542,f905(f905(x103542,x103542),x103542),a1),f81(x103542,x103542)),f93(x103542)))),f318(f318(f7(a1,f905(x103542,x103542),f905(x103542,x103542)),f318(f318(f8(f905(x103542,f905(x103542,x103542)),f905(f905(x103542,x103542),f905(x103542,x103542)),a1),f18(x103542,x103542,x103542)),f318(f318(f7(a1,f905(x103542,x103542),f905(x103542,f905(x103542,x103542))),f318(f318(f8(f905(x103542,f905(x103542,x103542)),f905(f905(x103542,x103542),f905(x103542,f905(x103542,x103542))),a1),f8(x103542,f905(x103542,x103542),x103542)),f318(f318(f8(a894,f905(x103542,f905(x103542,x103542)),a1),f87(x103542)),f318(f318(f7(a1,a1,a894),a315),f2(a1))))),f318(f318(f18(x103542,x103542,x103542),f75(x103542)),f5(x103542))))),f318(f318(f7(x103542,x103542,x103542),f318(f318(f8(x103542,f905(x103542,x103542),x103542),f75(x103542)),f318(f318(f18(x103542,x103542,x103542),f75(x103542)),f5(x103542)))),f73(x103542))))),f41(x103541,f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f93(x103542),x103541))
% 182.43/182.08 [5392]~P37(x53921,x53923)+~P50(x53921,x53923)+~P51(x53921,x53922,x53923)+P8(x53921,x53922,x53923)
% 182.43/182.08 [4928]~P94(x49283)+~P95(x49283)+E(x49281,x49282)+~E(f318(f94(x49283),x49281),f318(f94(x49283),x49282))
% 182.43/182.08 [5402]~P48(x54021,x54022)+~P49(x54021,x54022)+P15(x54021,x54022)+~P1(f318(f318(x54022,x54023),x54023))
% 182.43/182.08 [5909]P15(x59092,x59091)+E(f318(x59091,f786(x59091)),f318(x59091,f787(x59091)))+P1(f318(f318(x59091,f786(x59091)),f787(x59091)))+~P1(f318(f318(x59091,x59093),x59093))
% 182.43/182.08 [6116]~P1(f318(x61161,x61162))+~P1(f318(x61161,x61163))+~P1(f318(f318(f226(a898),x61163),f730(x61162,x61161)))+P1(f318(x61161,f2(a898)))
% 182.43/182.08 [6183]P15(x61831,x61832)+P1(f318(f318(x61832,f786(x61832)),f786(x61832)))+P1(f318(f318(x61832,f786(x61832)),f787(x61832)))+~P1(f318(f318(x61832,x61833),x61833))
% 182.43/182.08 [6184]P15(x61841,x61842)+P1(f318(f318(x61842,f786(x61842)),f787(x61842)))+P1(f318(f318(x61842,f787(x61842)),f787(x61842)))+~P1(f318(f318(x61842,x61843),x61843))
% 182.43/182.08 [6548]P147(x65482,x65481,x65483)+E(x65481,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f840(x65483,x65481,x65482)))+P1(f318(f318(f227(a1),x65481),f2(a1)))
% 182.43/182.08 [6549]P146(x65492,x65491,x65493)+E(x65491,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f847(x65493,x65491,x65492)))+P1(f318(f318(f227(a1),x65491),f2(a1)))
% 182.43/182.08 [6678]P146(x66781,x66782,x66783)+~P1(f318(x66781,x66783))+P1(f318(f318(f226(a1),f2(a1)),f847(x66783,x66782,x66781)))+P1(f318(f318(f227(a1),x66782),f2(a1)))
% 182.43/182.08 [6704]P147(x67041,x67042,x67043)+P1(f318(f318(f226(a1),f2(a1)),f840(x67043,x67042,x67041)))+~P1(f318(x67041,f2(a1)))+P1(f318(f318(f227(a1),x67042),f2(a1)))
% 182.43/182.08 [6736]P147(x67362,x67361,x67363)+E(x67361,f2(a1))+~P1(f318(x67362,f841(x67363,x67361,x67362)))+P1(f318(f318(f227(a1),x67361),f2(a1)))
% 182.43/182.08 [6737]P146(x67372,x67371,x67373)+E(x67371,f2(a1))+~P1(f318(x67372,f847(x67373,x67371,x67372)))+P1(f318(f318(f227(a1),x67371),f2(a1)))
% 182.43/182.08 [6839]~P82(x68391)+~P5(x68391)+~P1(f318(f318(f227(x68391),x68392),f31(x68391,x68393)))+P1(f318(f318(f227(x68391),x68392),f582(x68393,x68392,x68391)))
% 182.43/182.08 [6849]P146(x68491,x68492,x68493)+~P1(f318(x68491,x68493))+~P1(f318(x68491,f847(x68493,x68492,x68491)))+P1(f318(f318(f227(a1),x68492),f2(a1)))
% 182.43/182.08 [6881]P147(x68811,x68812,x68813)+~P1(f318(x68811,f841(x68813,x68812,x68811)))+~P1(f318(x68811,f2(a1)))+P1(f318(f318(f227(a1),x68812),f2(a1)))
% 182.43/182.08 [7133]P147(x71332,x71331,x71333)+E(x71331,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f840(x71333,x71331,x71332)))+P1(f318(f318(f227(a1),x71331),f839(x71333,x71331,x71332)))
% 182.43/182.08 [7134]P146(x71342,x71341,x71343)+E(x71341,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f847(x71343,x71341,x71342)))+P1(f318(f318(f227(a1),x71341),f846(x71343,x71341,x71342)))
% 182.43/182.08 [7254]P146(x72541,x72542,x72543)+~P1(f318(x72541,x72543))+P1(f318(f318(f226(a1),f2(a1)),f847(x72543,x72542,x72541)))+P1(f318(f318(f227(a1),x72542),f846(x72543,x72542,x72541)))
% 182.43/182.08 [7275]P147(x72751,x72752,x72753)+P1(f318(f318(f226(a1),f2(a1)),f840(x72753,x72752,x72751)))+P1(f318(f318(f227(a1),x72752),f839(x72753,x72752,x72751)))+~P1(f318(x72751,f2(a1)))
% 182.43/182.08 [7306]P147(x73062,x73061,x73063)+E(x73061,f2(a1))+~P1(f318(x73062,f841(x73063,x73061,x73062)))+P1(f318(f318(f227(a1),x73061),f839(x73063,x73061,x73062)))
% 182.43/182.08 [7307]P146(x73072,x73071,x73073)+E(x73071,f2(a1))+~P1(f318(x73072,f847(x73073,x73071,x73072)))+P1(f318(f318(f227(a1),x73071),f846(x73073,x73071,x73072)))
% 182.43/182.08 [7351]P147(x73512,x73511,x73513)+E(x73511,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f840(x73513,x73511,x73512)))+~P1(f318(x73512,f845(x73513,x73511,x73512)))
% 182.43/182.08 [7352]P146(x73522,x73521,x73523)+E(x73521,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f847(x73523,x73521,x73522)))+~P1(f318(x73522,f846(x73523,x73521,x73522)))
% 182.43/182.08 [7449]P146(x74491,x74492,x74493)+~P1(f318(x74491,x74493))+~P1(f318(x74491,f847(x74493,x74492,x74491)))+P1(f318(f318(f227(a1),x74492),f846(x74493,x74492,x74491)))
% 182.43/182.08 [7464]P147(x74641,x74642,x74643)+~P1(f318(x74641,f841(x74643,x74642,x74641)))+P1(f318(f318(f227(a1),x74642),f839(x74643,x74642,x74641)))+~P1(f318(x74641,f2(a1)))
% 182.43/182.08 [7467]P146(x74671,x74672,x74673)+~P1(f318(x74671,x74673))+P1(f318(f318(f226(a1),f2(a1)),f847(x74673,x74672,x74671)))+~P1(f318(x74671,f846(x74673,x74672,x74671)))
% 182.43/182.08 [7484]P147(x74841,x74842,x74843)+P1(f318(f318(f226(a1),f2(a1)),f840(x74843,x74842,x74841)))+~P1(f318(x74841,f845(x74843,x74842,x74841)))+~P1(f318(x74841,f2(a1)))
% 182.43/182.08 [7507]P147(x75072,x75071,x75073)+E(x75071,f2(a1))+~P1(f318(x75072,f841(x75073,x75071,x75072)))+~P1(f318(x75072,f845(x75073,x75071,x75072)))
% 182.43/182.08 [7508]P146(x75082,x75081,x75083)+E(x75081,f2(a1))+~P1(f318(x75082,f847(x75083,x75081,x75082)))+~P1(f318(x75082,f846(x75083,x75081,x75082)))
% 182.43/182.08 [7592]P146(x75921,x75922,x75923)+~P1(f318(x75921,x75923))+~P1(f318(x75921,f847(x75923,x75922,x75921)))+~P1(f318(x75921,f846(x75923,x75922,x75921)))
% 182.43/182.08 [7610]P147(x76101,x76102,x76103)+~P1(f318(x76101,f841(x76103,x76102,x76101)))+~P1(f318(x76101,f845(x76103,x76102,x76101)))+~P1(f318(x76101,f2(a1)))
% 182.43/182.08 [7656]P147(x76562,x76561,x76563)+E(x76561,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f840(x76563,x76561,x76562)))+P1(f318(f318(f226(a1),f839(x76563,x76561,x76562)),f2(a1)))
% 182.43/182.08 [7657]P146(x76572,x76571,x76573)+E(x76571,f2(a1))+P1(f318(f318(f226(a1),f2(a1)),f847(x76573,x76571,x76572)))+P1(f318(f318(f226(a1),f846(x76573,x76571,x76572)),f2(a1)))
% 182.43/182.08 [7658]~P127(x76581)+~P1(f318(f318(f320(x76581),x76583),f100(x76581)))+~P1(f318(f318(f320(x76581),x76582),f100(x76581)))+P1(f318(f318(f320(x76581),f318(f318(f23(x76581),x76582),x76583)),f100(x76581)))
% 182.43/182.08 [7659]~P127(x76591)+~P1(f318(f318(f320(x76591),x76593),f100(x76591)))+~P1(f318(f318(f320(x76591),x76592),f100(x76591)))+P1(f318(f318(f320(x76591),f318(f318(f75(x76591),x76592),x76593)),f100(x76591)))
% 182.43/182.08 [7660]~P144(x76601)+~P1(f318(f318(f320(x76601),x76603),f177(x76601)))+~P1(f318(f318(f320(x76601),x76602),f177(x76601)))+P1(f318(f318(f320(x76601),f318(f318(f75(x76601),x76602),x76603)),f177(x76601)))
% 182.43/182.08 [7661]~P127(x76611)+~P1(f318(f318(f320(x76611),x76613),f100(x76611)))+~P1(f318(f318(f320(x76611),x76612),f100(x76611)))+P1(f318(f318(f320(x76611),f318(f318(f76(x76611),x76612),x76613)),f100(x76611)))
% 182.43/182.08 [7662]~P144(x76621)+~P1(f318(f318(f320(x76621),x76623),f177(x76621)))+~P1(f318(f318(f320(x76621),x76622),f177(x76621)))+P1(f318(f318(f320(x76621),f318(f318(f76(x76621),x76622),x76623)),f177(x76621)))
% 182.43/182.08 [7663]~P90(x76631)+~P1(f318(f318(f226(x76631),x76633),f2(x76631)))+~P1(f318(f318(f226(x76631),x76632),f2(x76631)))+P1(f318(f318(f226(x76631),f318(f318(f75(x76631),x76632),x76633)),f2(x76631)))
% 182.43/182.08 [7664]~P90(x76641)+~P1(f318(f318(f226(x76641),x76643),f2(x76641)))+~P1(f318(f318(f227(x76641),x76642),f2(x76641)))+P1(f318(f318(f227(x76641),f318(f318(f75(x76641),x76642),x76643)),f2(x76641)))
% 182.43/182.08 [7665]~P90(x76651)+~P1(f318(f318(f226(x76651),x76652),f2(x76651)))+~P1(f318(f318(f227(x76651),x76653),f2(x76651)))+P1(f318(f318(f227(x76651),f318(f318(f75(x76651),x76652),x76653)),f2(x76651)))
% 182.43/182.08 [7666]~P90(x76661)+~P1(f318(f318(f227(x76661),x76663),f2(x76661)))+~P1(f318(f318(f227(x76661),x76662),f2(x76661)))+P1(f318(f318(f227(x76661),f318(f318(f75(x76661),x76662),x76663)),f2(x76661)))
% 182.43/182.08 [7693]P147(x76933,x76931,x76932)+E(x76931,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x76931),f841(x76932,x76931,x76933))),f840(x76932,x76931,x76933)),x76932)+P1(f318(f318(f227(a1),x76931),f2(a1)))
% 182.43/182.08 [7694]P146(x76943,x76941,x76942)+E(x76941,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x76941),f849(x76942,x76941,x76943))),f847(x76942,x76941,x76943)),x76942)+P1(f318(f318(f227(a1),x76941),f2(a1)))
% 182.43/182.08 [7777]P146(x77771,x77772,x77773)+~P1(f318(x77771,x77773))+P1(f318(f318(f226(a1),f2(a1)),f847(x77773,x77772,x77771)))+P1(f318(f318(f226(a1),f846(x77773,x77772,x77771)),f2(a1)))
% 182.43/182.08 [7808]P147(x78081,x78082,x78083)+P1(f318(f318(f226(a1),f2(a1)),f840(x78083,x78082,x78081)))+~P1(f318(x78081,f2(a1)))+P1(f318(f318(f226(a1),f839(x78083,x78082,x78081)),f2(a1)))
% 182.43/182.08 [7817]P146(x78173,x78171,x78172)+~P1(f318(x78173,x78172))+E(f318(f318(f75(a1),f318(f318(f76(a1),x78171),f849(x78172,x78171,x78173))),f847(x78172,x78171,x78173)),x78172)+P1(f318(f318(f227(a1),x78171),f2(a1)))
% 182.43/182.08 [7823]P147(x78232,x78231,x78233)+E(x78231,f2(a1))+~P1(f318(x78232,f841(x78233,x78231,x78232)))+P1(f318(f318(f226(a1),f839(x78233,x78231,x78232)),f2(a1)))
% 182.43/182.08 [7824]P146(x78242,x78241,x78243)+E(x78241,f2(a1))+~P1(f318(x78242,f847(x78243,x78241,x78242)))+P1(f318(f318(f226(a1),f846(x78243,x78241,x78242)),f2(a1)))
% 182.43/182.08 [7829]P147(x78293,x78291,x78292)+E(f318(f318(f75(a1),f318(f318(f76(a1),x78291),f841(x78292,x78291,x78293))),f840(x78292,x78291,x78293)),x78292)+~P1(f318(x78293,f2(a1)))+P1(f318(f318(f227(a1),x78291),f2(a1)))
% 182.43/182.08 [7886]P146(x78861,x78862,x78863)+~P1(f318(x78861,x78863))+~P1(f318(x78861,f847(x78863,x78862,x78861)))+P1(f318(f318(f226(a1),f846(x78863,x78862,x78861)),f2(a1)))
% 182.43/182.08 [7890]P147(x78901,x78902,x78903)+~P1(f318(x78901,f841(x78903,x78902,x78901)))+~P1(f318(x78901,f2(a1)))+P1(f318(f318(f226(a1),f839(x78903,x78902,x78901)),f2(a1)))
% 182.43/182.08 [7958]~P124(x79581)+~P1(f318(f318(f226(x79581),f318(f318(f76(x79581),x79583),x79582)),f2(x79581)))+P1(f318(f318(f226(x79581),x79582),f2(x79581)))+P1(f318(f318(f226(x79581),x79583),f2(x79581)))
% 182.43/182.08 [7959]~P62(x79591)+~P1(f318(f318(f226(x79591),f318(f318(f282(x79591),x79593),x79592)),f2(x79591)))+P1(f318(f318(f226(x79591),x79592),f2(x79591)))+P1(f318(f318(f226(x79591),x79593),f2(x79591)))
% 182.43/182.08 [7960]~P62(x79601)+~P1(f318(f318(f227(x79601),f318(f318(f282(x79601),x79603),x79602)),f2(x79601)))+P1(f318(f318(f227(x79601),x79602),f2(x79601)))+P1(f318(f318(f227(x79601),x79603),f2(x79601)))
% 182.43/182.08 [8073]P147(x80733,x80731,x80732)+E(x80731,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x80731),f841(x80732,x80731,x80733))),f840(x80732,x80731,x80733)),x80732)+P1(f318(f318(f227(a1),x80731),f839(x80732,x80731,x80733)))
% 182.43/182.08 [8074]P146(x80743,x80741,x80742)+E(x80741,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x80741),f849(x80742,x80741,x80743))),f847(x80742,x80741,x80743)),x80742)+P1(f318(f318(f227(a1),x80741),f846(x80742,x80741,x80743)))
% 182.43/182.08 [8086]P147(x80863,x80861,x80862)+E(x80861,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x80861),f845(x80862,x80861,x80863))),f839(x80862,x80861,x80863)),x80862)+P1(f318(f318(f226(a1),f2(a1)),f840(x80862,x80861,x80863)))
% 182.43/182.08 [8087]P146(x80873,x80871,x80872)+E(x80871,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x80871),f850(x80872,x80871,x80873))),f846(x80872,x80871,x80873)),x80872)+P1(f318(f318(f226(a1),f2(a1)),f847(x80872,x80871,x80873)))
% 182.43/182.08 [8129]P146(x81293,x81291,x81292)+~P1(f318(x81293,x81292))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81291),f849(x81292,x81291,x81293))),f847(x81292,x81291,x81293)),x81292)+P1(f318(f318(f227(a1),x81291),f846(x81292,x81291,x81293)))
% 182.43/182.08 [8138]P147(x81383,x81381,x81382)+E(f318(f318(f75(a1),f318(f318(f76(a1),x81381),f841(x81382,x81381,x81383))),f840(x81382,x81381,x81383)),x81382)+P1(f318(f318(f227(a1),x81381),f839(x81382,x81381,x81383)))+~P1(f318(x81383,f2(a1)))
% 182.43/182.08 [8144]P146(x81443,x81441,x81442)+~P1(f318(x81443,x81442))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81441),f850(x81442,x81441,x81443))),f846(x81442,x81441,x81443)),x81442)+P1(f318(f318(f226(a1),f2(a1)),f847(x81442,x81441,x81443)))
% 182.43/182.08 [8150]P147(x81503,x81501,x81502)+E(f318(f318(f75(a1),f318(f318(f76(a1),x81501),f845(x81502,x81501,x81503))),f839(x81502,x81501,x81503)),x81502)+P1(f318(f318(f226(a1),f2(a1)),f840(x81502,x81501,x81503)))+~P1(f318(x81503,f2(a1)))
% 182.43/182.08 [8161]P147(x81613,x81611,x81612)+E(x81611,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81611),f841(x81612,x81611,x81613))),f840(x81612,x81611,x81613)),x81612)+~P1(f318(x81613,f845(x81612,x81611,x81613)))
% 182.43/182.08 [8162]P146(x81623,x81621,x81622)+E(x81621,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81621),f849(x81622,x81621,x81623))),f847(x81622,x81621,x81623)),x81622)+~P1(f318(x81623,f846(x81622,x81621,x81623)))
% 182.43/182.08 [8163]P147(x81633,x81631,x81632)+E(x81631,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81631),f845(x81632,x81631,x81633))),f839(x81632,x81631,x81633)),x81632)+~P1(f318(x81633,f841(x81632,x81631,x81633)))
% 182.43/182.08 [8164]P146(x81643,x81641,x81642)+E(x81641,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x81641),f850(x81642,x81641,x81643))),f846(x81642,x81641,x81643)),x81642)+~P1(f318(x81643,f847(x81642,x81641,x81643)))
% 182.43/182.08 [8223]P146(x82233,x82231,x82232)+~P1(f318(x82233,x82232))+E(f318(f318(f75(a1),f318(f318(f76(a1),x82231),f849(x82232,x82231,x82233))),f847(x82232,x82231,x82233)),x82232)+~P1(f318(x82233,f846(x82232,x82231,x82233)))
% 182.43/182.08 [8224]P146(x82243,x82241,x82242)+~P1(f318(x82243,x82242))+E(f318(f318(f75(a1),f318(f318(f76(a1),x82241),f850(x82242,x82241,x82243))),f846(x82242,x82241,x82243)),x82242)+~P1(f318(x82243,f847(x82242,x82241,x82243)))
% 182.43/182.08 [8237]P147(x82373,x82371,x82372)+E(f318(f318(f75(a1),f318(f318(f76(a1),x82371),f841(x82372,x82371,x82373))),f840(x82372,x82371,x82373)),x82372)+~P1(f318(x82373,f845(x82372,x82371,x82373)))+~P1(f318(x82373,f2(a1)))
% 182.43/182.08 [8238]P147(x82383,x82381,x82382)+E(f318(f318(f75(a1),f318(f318(f76(a1),x82381),f845(x82382,x82381,x82383))),f839(x82382,x82381,x82383)),x82382)+~P1(f318(x82383,f841(x82382,x82381,x82383)))+~P1(f318(x82383,f2(a1)))
% 182.43/182.08 [8336]P147(x83363,x83361,x83362)+E(x83361,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83361),f841(x83362,x83361,x83363))),f840(x83362,x83361,x83363)),x83362)+P1(f318(f318(f226(a1),f839(x83362,x83361,x83363)),f2(a1)))
% 182.43/182.08 [8337]P146(x83373,x83371,x83372)+E(x83371,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83371),f849(x83372,x83371,x83373))),f847(x83372,x83371,x83373)),x83372)+P1(f318(f318(f226(a1),f846(x83372,x83371,x83373)),f2(a1)))
% 182.43/182.08 [8377]P146(x83773,x83771,x83772)+~P1(f318(x83773,x83772))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83771),f849(x83772,x83771,x83773))),f847(x83772,x83771,x83773)),x83772)+P1(f318(f318(f226(a1),f846(x83772,x83771,x83773)),f2(a1)))
% 182.43/182.08 [8382]P147(x83823,x83821,x83822)+E(f318(f318(f75(a1),f318(f318(f76(a1),x83821),f841(x83822,x83821,x83823))),f840(x83822,x83821,x83823)),x83822)+~P1(f318(x83823,f2(a1)))+P1(f318(f318(f226(a1),f839(x83822,x83821,x83823)),f2(a1)))
% 182.43/182.08 [8518]P147(x85183,x85181,x85182)+E(x85181,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x85181),f845(x85182,x85181,x85183))),f839(x85182,x85181,x85183)),x85182)+E(f318(f318(f75(a1),f318(f318(f76(a1),x85181),f841(x85182,x85181,x85183))),f840(x85182,x85181,x85183)),x85182)
% 182.43/182.08 [8519]P146(x85193,x85191,x85192)+E(x85191,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x85191),f850(x85192,x85191,x85193))),f846(x85192,x85191,x85193)),x85192)+E(f318(f318(f75(a1),f318(f318(f76(a1),x85191),f849(x85192,x85191,x85193))),f847(x85192,x85191,x85193)),x85192)
% 182.43/182.08 [8539]P146(x85393,x85391,x85392)+~P1(f318(x85393,x85392))+E(f318(f318(f75(a1),f318(f318(f76(a1),x85391),f850(x85392,x85391,x85393))),f846(x85392,x85391,x85393)),x85392)+E(f318(f318(f75(a1),f318(f318(f76(a1),x85391),f849(x85392,x85391,x85393))),f847(x85392,x85391,x85393)),x85392)
% 182.43/182.08 [8550]P147(x85503,x85501,x85502)+E(f318(f318(f75(a1),f318(f318(f76(a1),x85501),f845(x85502,x85501,x85503))),f839(x85502,x85501,x85503)),x85502)+E(f318(f318(f75(a1),f318(f318(f76(a1),x85501),f841(x85502,x85501,x85503))),f840(x85502,x85501,x85503)),x85502)+~P1(f318(x85503,f2(a1)))
% 182.43/182.08 [9216]~P124(x92161)+~E(x92163,f2(x92161))+~E(x92162,f2(x92161))+P1(f318(f318(f226(x92161),f318(f318(f75(x92161),f318(f318(f76(x92161),x92162),x92162)),f318(f318(f76(x92161),x92163),x92163))),f2(x92161)))
% 182.43/182.08 [10295]~P110(x102951)+~E(x102953,f2(x102951))+~E(x102952,f2(x102951))+P1(f318(f318(f226(x102951),f318(f318(f75(x102951),f318(f318(f235(x102951),x102952),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102951),x102953),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))),f2(x102951)))
% 182.43/182.08 [4876]~E(x48763,x48761)+~P121(x48762)+E(x48761,f2(x48762))+E(f318(f318(f282(x48762),x48763),x48761),f73(x48762))
% 182.43/182.08 [4929]~P101(x49291)+~E(x49293,f233(x49291))+~E(x49292,f233(x49291))+E(f318(f318(f92(x49291),x49292),x49293),f233(x49291))
% 182.43/182.08 [4930]~P84(x49301)+~E(x49303,f179(x49301))+~E(x49302,f179(x49301))+E(f318(f318(f101(x49301),x49302),x49303),f179(x49301))
% 182.43/182.08 [5027]~P121(x50273)+E(x50271,x50272)+E(x50272,f2(x50273))+~E(f318(f318(f282(x50273),x50271),x50272),f73(x50273))
% 182.43/182.08 [5045]~P129(x50452)+E(x50451,f2(x50452))+E(x50453,f2(x50452))+~E(f318(f318(f76(x50452),x50453),x50451),f2(x50452))
% 182.43/182.08 [5046]~P141(x50462)+E(x50461,f2(x50462))+E(x50463,f2(x50462))+~E(f318(f318(f76(x50462),x50463),x50461),f2(x50462))
% 182.43/182.08 [5421]~P119(x54213)+E(x54211,x54212)+E(x54211,f318(f74(x54213),x54212))+~E(f318(f318(f76(x54213),x54211),x54211),f318(f318(f76(x54213),x54212),x54212))
% 182.43/182.08 [5460]~P97(x54601)+E(f318(f74(x54601),x54602),x54603)+~E(f318(f318(f92(x54601),x54602),x54603),f179(x54601))+~E(f318(f318(f101(x54601),x54602),x54603),f233(x54601))
% 182.43/182.08 [5541]~P110(x55413)+E(x55411,x55412)+P1(f318(f318(f227(x55413),x55412),x55411))+P1(f318(f318(f227(x55413),x55411),x55412))
% 182.43/182.08 [5542]~P82(x55423)+E(x55421,x55422)+P1(f318(f318(f227(x55423),x55422),x55421))+P1(f318(f318(f227(x55423),x55421),x55422))
% 182.43/182.08 [5543]~E(x55432,x55433)+~P82(x55431)+P1(f318(f318(f227(x55431),x55432),x55433))+P1(f318(f318(f226(x55431),x55432),x55433))
% 182.43/182.08 [5804]~P108(x58043)+E(x58041,x58042)+~P1(f318(f318(f226(x58043),x58042),x58041))+P1(f318(f318(f227(x58043),x58042),x58041))
% 182.43/182.08 [5806]~P82(x58063)+E(x58061,x58062)+~P1(f318(f318(f226(x58063),x58061),x58062))+P1(f318(f318(f227(x58063),x58061),x58062))
% 182.43/182.08 [5812]~P108(x58123)+E(x58121,x58122)+~P1(f318(f318(f226(x58123),x58121),x58122))+P1(f318(f318(f227(x58123),x58121),x58122))
% 182.43/182.08 [5926]P146(x59261,x59262,x59263)+~P1(f318(x59261,x59263))+P1(f318(f318(f227(a1),x59262),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x59262))
% 182.43/182.08 [5980]P147(x59801,x59802,x59803)+~P1(f318(x59801,f2(a1)))+P1(f318(f318(f227(a1),x59802),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x59802))
% 182.43/182.08 [5985]~P83(x59851)+E(f318(f318(f92(x59851),x59852),f13(x59851,x59853)),x59852)+~P1(f318(f28(x59851),x59853))+~P1(f318(f318(f320(x59851),x59852),x59853))
% 182.43/182.08 [5986]~P83(x59861)+E(f318(f318(f101(x59861),x59862),f10(x59861,x59863)),x59862)+~P1(f318(f28(x59861),x59863))+~P1(f318(f318(f320(x59861),x59862),x59863))
% 182.43/182.08 [6025]~P83(x60251)+E(f318(f318(f92(x60251),x60252),f10(x60251,x60253)),f10(x60251,x60253))+~P1(f318(f28(x60251),x60253))+~P1(f318(f318(f320(x60251),x60252),x60253))
% 182.43/182.08 [6026]~P83(x60261)+E(f318(f318(f101(x60261),x60262),f13(x60261,x60263)),f13(x60261,x60263))+~P1(f318(f28(x60261),x60263))+~P1(f318(f318(f320(x60261),x60262),x60263))
% 182.43/182.08 [6027]~P82(x60271)+E(f318(f318(f224(x60271),x60272),f14(x60271,x60273)),f14(x60271,x60273))+~P1(f318(f28(x60271),x60273))+~P1(f318(f318(f320(x60271),x60272),x60273))
% 182.43/182.08 [6028]~P82(x60281)+E(f318(f318(f225(x60281),x60282),f15(x60281,x60283)),f15(x60281,x60283))+~P1(f318(f28(x60281),x60283))+~P1(f318(f318(f320(x60281),x60282),x60283))
% 182.43/182.08 [6067]E(x60671,x60672)+~P108(x60673)+~P1(f318(f318(f226(x60673),x60672),x60671))+~P1(f318(f318(f226(x60673),x60671),x60672))
% 182.43/182.08 [6212]~P64(x62121)+P1(f318(f318(f227(x62121),x62123),x62122))+~P1(f318(f318(f226(x62121),x62123),x62122))+P1(f318(f318(f226(x62121),x62122),x62123))
% 182.43/182.08 [6240]~P82(x62401)+~P1(f318(f28(x62401),x62403))+P1(f318(f318(f226(x62401),x62402),f15(x62401,x62403)))+~P1(f318(f318(f320(x62401),x62402),x62403))
% 182.43/182.08 [6288]~P82(x62881)+E(f318(f318(f224(x62881),x62882),f12(x62881,f225(x62881),x62883)),x62882)+~P1(f318(f28(x62881),x62883))+~P1(f318(f318(f320(x62881),x62882),x62883))
% 182.43/182.08 [6289]~P82(x62891)+E(f318(f318(f225(x62891),x62892),f11(x62891,f224(x62891),x62893)),x62892)+~P1(f318(f28(x62891),x62893))+~P1(f318(f318(f320(x62891),x62892),x62893))
% 182.43/182.08 [6435]E(x64351,x64352)+~E(f318(f318(f23(a898),x64351),x64353),f318(f318(f23(a898),x64352),x64353))+~P1(f318(f318(f226(a898),x64353),x64351))+~P1(f318(f318(f226(a898),x64353),x64352))
% 182.43/182.08 [6462]~P82(x64621)+~P1(f318(f28(x64621),x64622))+~P1(f318(f318(f320(x64621),x64623),x64622))+P1(f318(f318(f226(x64621),f14(x64621,x64622)),x64623))
% 182.43/182.08 [6527]P147(x65272,x65271,x65273)+E(x65271,f2(a1))+P1(f318(f318(f227(a1),x65271),f839(x65273,x65271,x65272)))+P1(f318(f318(f227(a1),f2(a1)),x65271))
% 182.43/182.08 [6528]P146(x65282,x65281,x65283)+E(x65281,f2(a1))+P1(f318(f318(f227(a1),x65281),f846(x65283,x65281,x65282)))+P1(f318(f318(f227(a1),f2(a1)),x65281))
% 182.43/182.08 [6529]~P82(x65291)+E(f318(f318(f224(x65291),x65292),f11(x65291,f224(x65291),x65293)),f11(x65291,f224(x65291),x65293))+~P1(f318(f28(x65291),x65293))+~P1(f318(f318(f320(x65291),x65292),x65293))
% 182.43/182.08 [6530]~P82(x65301)+E(f318(f318(f225(x65301),x65302),f12(x65301,f225(x65301),x65303)),f12(x65301,f225(x65301),x65303))+~P1(f318(f28(x65301),x65303))+~P1(f318(f318(f320(x65301),x65302),x65303))
% 182.43/182.08 [6535]~P1(f318(x65351,x65352))+P1(f318(x65351,f442(x65352,x65351,x65353)))+P1(f318(x65351,f2(a898)))+~P1(f318(f318(f227(a898),x65352),x65353))
% 182.43/182.08 [6596]~P1(f318(x65961,x65962))+~P1(f318(f28(x65963),x65962))+P1(f318(x65961,f360(x65961,x65962,x65963)))+P1(f318(x65961,f179(f905(x65963,a894))))
% 182.43/182.08 [6609]~P110(x66091)+~P95(x66091)+P1(f318(f318(f226(x66091),f318(f94(x66091),x66092)),f318(f94(x66091),x66093)))+~P1(f318(f318(f226(a1),x66092),x66093))
% 182.43/182.08 [6610]~P110(x66101)+~P95(x66101)+P1(f318(f318(f227(x66101),f318(f94(x66101),x66102)),f318(f94(x66101),x66103)))+~P1(f318(f318(f227(a1),x66102),x66103))
% 182.43/182.08 [6613]~P1(f318(x66131,x66133))+~P1(f318(f28(x66132),x66133))+P1(f318(f28(x66132),f360(x66131,x66133,x66132)))+P1(f318(x66131,f179(f905(x66132,a894))))
% 182.43/182.08 [6647]P146(x66471,x66472,x66473)+~P1(f318(x66471,x66473))+P1(f318(f318(f227(a1),x66472),f846(x66473,x66472,x66471)))+P1(f318(f318(f227(a1),f2(a1)),x66472))
% 182.43/182.08 [6685]P147(x66851,x66852,x66853)+P1(f318(f318(f227(a1),x66852),f839(x66853,x66852,x66851)))+~P1(f318(x66851,f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x66852))
% 182.43/182.08 [6715]~P81(x67151)+~P96(x67151)+E(f318(f318(f224(x67151),f318(f94(x67151),x67152)),f318(f94(x67151),x67153)),f318(f94(x67151),x67153))+P1(f318(f318(f226(x67151),f318(f94(x67151),x67152)),f318(f94(x67151),x67153)))
% 182.43/182.08 [6716]~P81(x67161)+~P96(x67161)+E(f318(f318(f225(x67161),f318(f94(x67161),x67162)),f318(f94(x67161),x67163)),f318(f94(x67161),x67162))+P1(f318(f318(f226(x67161),f318(f94(x67161),x67162)),f318(f94(x67161),x67163)))
% 182.43/182.08 [6776]P147(x67762,x67761,x67763)+E(x67761,f2(a1))+~P1(f318(x67762,f845(x67763,x67761,x67762)))+P1(f318(f318(f227(a1),f2(a1)),x67761))
% 182.43/182.08 [6777]P146(x67772,x67771,x67773)+E(x67771,f2(a1))+~P1(f318(x67772,f846(x67773,x67771,x67772)))+P1(f318(f318(f227(a1),f2(a1)),x67771))
% 182.43/182.08 [6781]P1(f318(x67811,x67812))+~P1(f318(f28(x67813),x67812))+P1(f318(x67811,f467(x67811,x67812,x67813)))+~P1(f318(x67811,f179(f905(x67813,a894))))
% 182.43/182.08 [6802]P1(f318(x68021,x68022))+P1(f318(f28(x68023),f467(x68021,x68022,x68023)))+~P1(f318(f28(x68023),x68022))+~P1(f318(x68021,f179(f905(x68023,a894))))
% 182.43/182.08 [6870]P146(x68701,x68702,x68703)+~P1(f318(x68701,x68703))+~P1(f318(x68701,f846(x68703,x68702,x68701)))+P1(f318(f318(f227(a1),f2(a1)),x68702))
% 182.43/182.08 [6900]P147(x69001,x69002,x69003)+~P1(f318(x69001,f845(x69003,x69002,x69001)))+~P1(f318(x69001,f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x69002))
% 182.43/182.08 [7009]~P95(x70093)+~P110(x70093)+~P1(f318(f318(f226(x70093),f318(f94(x70093),x70091)),f318(f94(x70093),x70092)))+P1(f318(f318(f226(a1),x70091),x70092))
% 182.43/182.08 [7010]~P95(x70103)+~P110(x70103)+~P1(f318(f318(f227(x70103),f318(f94(x70103),x70101)),f318(f94(x70103),x70102)))+P1(f318(f318(f227(a1),x70101),x70102))
% 182.43/182.08 [7038]~P82(x70381)+~P13(x70381,x70383)+P13(x70381,f318(f318(f142(x70381),x70382),x70383))+~P1(f318(f318(f226(x70381),x70382),f690(x70383,x70382,x70381)))
% 182.43/182.08 [7039]~P82(x70391)+~P13(x70391,x70393)+P13(x70391,f318(f318(f142(x70391),x70392),x70393))+~P1(f318(f318(f226(x70391),x70392),f692(x70393,x70392,x70391)))
% 182.43/182.08 [7040]~P82(x70401)+~P13(x70401,x70403)+P13(x70401,f318(f318(f142(x70401),x70402),x70403))+~P1(f318(f318(f226(x70401),x70402),f731(x70402,x70403,x70401)))
% 182.43/182.08 [7127]P147(x71272,x71271,x71273)+E(x71271,f2(a1))+P1(f318(f318(f227(a1),x71271),f2(a1)))+P1(f318(f318(f227(a1),f840(x71273,x71271,x71272)),x71271))
% 182.43/182.08 [7128]P146(x71282,x71281,x71283)+E(x71281,f2(a1))+P1(f318(f318(f227(a1),x71281),f2(a1)))+P1(f318(f318(f227(a1),f847(x71283,x71281,x71282)),x71281))
% 182.43/182.08 [7164]P147(x71642,x71641,x71643)+E(x71641,f2(a1))+P1(f318(f318(f226(a1),f839(x71643,x71641,x71642)),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x71641))
% 182.43/182.08 [7165]P146(x71652,x71651,x71653)+E(x71651,f2(a1))+P1(f318(f318(f226(a1),f846(x71653,x71651,x71652)),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x71651))
% 182.43/182.08 [7190]~P82(x71901)+~P13(x71901,x71903)+E(f318(f318(f139(x71901,x71901,f5(x71901)),x71902),f161(x71901,x71902,x71903)),x71903)+~P1(f318(f318(f320(x71901),x71902),f318(f163(x71901),x71903)))
% 182.43/182.08 [7237]P146(x72371,x72372,x72373)+~P1(f318(x72371,x72373))+P1(f318(f318(f227(a1),x72372),f2(a1)))+P1(f318(f318(f227(a1),f847(x72373,x72372,x72371)),x72372))
% 182.43/182.08 [7243]~P81(x72431)+~P96(x72431)+E(f318(f318(f224(x72431),f318(f94(x72431),x72432)),f318(f94(x72431),x72433)),f318(f94(x72431),x72432))+~P1(f318(f318(f226(x72431),f318(f94(x72431),x72432)),f318(f94(x72431),x72433)))
% 182.43/182.08 [7244]~P81(x72441)+~P96(x72441)+E(f318(f318(f225(x72441),f318(f94(x72441),x72442)),f318(f94(x72441),x72443)),f318(f94(x72441),x72443))+~P1(f318(f318(f226(x72441),f318(f94(x72441),x72442)),f318(f94(x72441),x72443)))
% 182.43/182.08 [7258]P147(x72581,x72582,x72583)+~P1(f318(x72581,f2(a1)))+P1(f318(f318(f227(a1),x72582),f2(a1)))+P1(f318(f318(f227(a1),f840(x72583,x72582,x72581)),x72582))
% 182.43/182.08 [7268]P146(x72681,x72682,x72683)+~P1(f318(x72681,x72683))+P1(f318(f318(f226(a1),f846(x72683,x72682,x72681)),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x72682))
% 182.43/182.08 [7292]P147(x72921,x72922,x72923)+~P1(f318(x72921,f2(a1)))+P1(f318(f318(f226(a1),f839(x72923,x72922,x72921)),f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x72922))
% 182.43/182.08 [7318]~P1(f318(x73181,x73182))+P1(f318(x73181,f2(a898)))+~P1(f318(f318(f227(a898),x73182),x73183))+P1(f318(f318(f227(a898),f442(x73182,x73181,x73183)),x73183))
% 182.43/182.08 [7335]~P82(x73351)+~P13(x73351,x73353)+P13(x73351,f318(f318(f142(x73351),x73352),x73353))+P1(f318(f318(f320(x73351),f690(x73353,x73352,x73351)),f318(f163(x73351),x73353)))
% 182.43/182.08 [7336]~P82(x73361)+~P13(x73361,x73363)+P13(x73361,f318(f318(f142(x73361),x73362),x73363))+P1(f318(f318(f320(x73361),f692(x73363,x73362,x73361)),f318(f163(x73361),x73363)))
% 182.43/182.08 [7337]~P82(x73371)+~P13(x73371,x73373)+P13(x73371,f318(f318(f142(x73371),x73372),x73373))+P1(f318(f318(f320(x73371),f731(x73372,x73373,x73371)),f318(f163(x73371),x73373)))
% 182.43/182.08 [7453]~P82(x74531)+~P5(x74531)+~P1(f318(f318(f227(x74531),x74533),f31(x74531,x74532)))+P1(f318(f318(f320(x74531),f582(x74532,x74533,x74531)),x74532))
% 182.43/182.08 [7608]~P82(x76081)+~P5(x76081)+~P1(f318(f318(f227(x76081),f32(x76081,x76083)),x76082))+P1(f318(f318(f320(x76081),f596(x76082,x76083,x76081)),x76083))
% 182.43/182.08 [7609]~P82(x76091)+~P5(x76091)+~P1(f318(f318(f227(x76091),f32(x76091,x76093)),x76092))+P1(f318(f318(f227(x76091),f596(x76092,x76093,x76091)),x76092))
% 182.43/182.08 [7621]P147(x76212,x76211,x76213)+E(x76211,f2(a1))+P1(f318(f318(f227(a1),x76211),f839(x76213,x76211,x76212)))+P1(f318(f318(f227(a1),f840(x76213,x76211,x76212)),x76211))
% 182.43/182.08 [7622]P146(x76222,x76221,x76223)+E(x76221,f2(a1))+P1(f318(f318(f227(a1),x76221),f846(x76223,x76221,x76222)))+P1(f318(f318(f227(a1),f847(x76223,x76221,x76222)),x76221))
% 182.43/182.08 [7716]P147(x77163,x77161,x77162)+E(x77161,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x77161),f845(x77162,x77161,x77163))),f839(x77162,x77161,x77163)),x77162)+P1(f318(f318(f227(a1),f2(a1)),x77161))
% 182.43/182.08 [7717]P146(x77173,x77171,x77172)+E(x77171,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x77171),f850(x77172,x77171,x77173))),f846(x77172,x77171,x77173)),x77172)+P1(f318(f318(f227(a1),f2(a1)),x77171))
% 182.43/182.08 [7720]~P135(x77201)+~P1(f318(f318(f226(x77201),x77203),f2(x77201)))+P1(f318(f318(f226(x77201),f318(f318(f76(x77201),x77202),x77203)),f2(x77201)))+~P1(f318(f318(f226(x77201),f2(x77201)),x77202))
% 182.43/182.08 [7722]~P135(x77221)+~P1(f318(f318(f226(x77221),x77222),f2(x77221)))+P1(f318(f318(f226(x77221),f318(f318(f76(x77221),x77222),x77223)),f2(x77221)))+~P1(f318(f318(f226(x77221),f2(x77221)),x77223))
% 182.43/182.08 [7723]~P124(x77231)+~P1(f318(f318(f226(x77231),x77233),f2(x77231)))+P1(f318(f318(f226(x77231),f318(f318(f76(x77231),x77232),x77233)),f2(x77231)))+~P1(f318(f318(f226(x77231),f2(x77231)),x77232))
% 182.43/182.08 [7724]~P124(x77241)+~P1(f318(f318(f226(x77241),x77242),f2(x77241)))+P1(f318(f318(f226(x77241),f318(f318(f76(x77241),x77242),x77243)),f2(x77241)))+~P1(f318(f318(f226(x77241),f2(x77241)),x77243))
% 182.43/182.08 [7725]~P62(x77251)+~P1(f318(f318(f226(x77251),x77253),f2(x77251)))+P1(f318(f318(f226(x77251),f318(f318(f282(x77251),x77252),x77253)),f2(x77251)))+~P1(f318(f318(f226(x77251),f2(x77251)),x77252))
% 182.43/182.08 [7726]~P62(x77261)+~P1(f318(f318(f226(x77261),x77262),f2(x77261)))+P1(f318(f318(f226(x77261),f318(f318(f282(x77261),x77262),x77263)),f2(x77261)))+~P1(f318(f318(f226(x77261),f2(x77261)),x77263))
% 182.43/182.08 [7727]~P63(x77271)+~P1(f318(f318(f226(x77271),x77272),f2(x77271)))+P1(f318(f318(f226(x77271),f318(f318(f282(x77271),x77272),x77273)),f2(x77271)))+~P1(f318(f318(f227(x77271),f2(x77271)),x77273))
% 182.43/182.08 [7728]~P63(x77281)+~P1(f318(f318(f227(x77281),x77283),f2(x77281)))+P1(f318(f318(f226(x77281),f318(f318(f282(x77281),x77282),x77283)),f2(x77281)))+~P1(f318(f318(f226(x77281),f2(x77281)),x77282))
% 182.43/182.08 [7730]~P131(x77301)+~P1(f318(f318(f227(x77301),x77303),f2(x77301)))+P1(f318(f318(f227(x77301),f318(f318(f76(x77301),x77302),x77303)),f2(x77301)))+~P1(f318(f318(f227(x77301),f2(x77301)),x77302))
% 182.43/182.08 [7731]~P131(x77311)+~P1(f318(f318(f227(x77311),x77312),f2(x77311)))+P1(f318(f318(f227(x77311),f318(f318(f76(x77311),x77312),x77313)),f2(x77311)))+~P1(f318(f318(f227(x77311),f2(x77311)),x77313))
% 182.43/182.08 [7732]~P62(x77321)+~P1(f318(f318(f227(x77321),x77323),f2(x77321)))+P1(f318(f318(f227(x77321),f318(f318(f282(x77321),x77322),x77323)),f2(x77321)))+~P1(f318(f318(f227(x77321),f2(x77321)),x77322))
% 182.43/182.08 [7733]~P62(x77331)+~P1(f318(f318(f227(x77331),x77332),f2(x77331)))+P1(f318(f318(f227(x77331),f318(f318(f282(x77331),x77332),x77333)),f2(x77331)))+~P1(f318(f318(f227(x77331),f2(x77331)),x77333))
% 182.43/182.08 [7734]~P63(x77341)+~P1(f318(f318(f227(x77341),x77343),f2(x77341)))+P1(f318(f318(f227(x77341),f318(f318(f282(x77341),x77342),x77343)),f2(x77341)))+~P1(f318(f318(f227(x77341),f2(x77341)),x77342))
% 182.43/182.08 [7735]~P63(x77351)+~P1(f318(f318(f227(x77351),x77352),f2(x77351)))+P1(f318(f318(f227(x77351),f318(f318(f282(x77351),x77352),x77353)),f2(x77351)))+~P1(f318(f318(f227(x77351),f2(x77351)),x77353))
% 182.43/182.08 [7750]P146(x77501,x77502,x77503)+~P1(f318(x77501,x77503))+P1(f318(f318(f227(a1),x77502),f846(x77503,x77502,x77501)))+P1(f318(f318(f227(a1),f847(x77503,x77502,x77501)),x77502))
% 182.43/182.08 [7763]P147(x77631,x77632,x77633)+P1(f318(f318(f227(a1),x77632),f839(x77633,x77632,x77631)))+~P1(f318(x77631,f2(a1)))+P1(f318(f318(f227(a1),f840(x77633,x77632,x77631)),x77632))
% 182.43/182.08 [7815]P147(x78152,x78151,x78153)+E(x78151,f2(a1))+~P1(f318(x78152,f845(x78153,x78151,x78152)))+P1(f318(f318(f227(a1),f840(x78153,x78151,x78152)),x78151))
% 182.43/182.08 [7816]P146(x78162,x78161,x78163)+E(x78161,f2(a1))+~P1(f318(x78162,f846(x78163,x78161,x78162)))+P1(f318(f318(f227(a1),f847(x78163,x78161,x78162)),x78161))
% 182.43/182.08 [7826]P146(x78263,x78261,x78262)+~P1(f318(x78263,x78262))+E(f318(f318(f75(a1),f318(f318(f76(a1),x78261),f850(x78262,x78261,x78263))),f846(x78262,x78261,x78263)),x78262)+P1(f318(f318(f227(a1),f2(a1)),x78261))
% 182.43/182.08 [7841]P147(x78413,x78411,x78412)+E(f318(f318(f75(a1),f318(f318(f76(a1),x78411),f845(x78412,x78411,x78413))),f839(x78412,x78411,x78413)),x78412)+~P1(f318(x78413,f2(a1)))+P1(f318(f318(f227(a1),f2(a1)),x78411))
% 182.43/182.08 [7869]~P1(f318(x78691,x78693))+~P1(f318(f28(x78692),x78693))+P1(f318(f318(f320(x78692),f339(x78691,x78693,x78692)),f360(x78691,x78693,x78692)))+P1(f318(x78691,f179(f905(x78692,a894))))
% 182.43/182.08 [7881]P146(x78811,x78812,x78813)+~P1(f318(x78811,x78813))+~P1(f318(x78811,f846(x78813,x78812,x78811)))+P1(f318(f318(f227(a1),f847(x78813,x78812,x78811)),x78812))
% 182.43/182.08 [7887]P147(x78871,x78872,x78873)+~P1(f318(x78871,f845(x78873,x78872,x78871)))+~P1(f318(x78871,f2(a1)))+P1(f318(f318(f227(a1),f840(x78873,x78872,x78871)),x78872))
% 182.43/182.08 [7989]~P124(x79891)+~P1(f318(f318(f226(x79891),f318(f318(f76(x79891),x79893),x79892)),f2(x79891)))+P1(f318(f318(f226(x79891),x79892),f2(x79891)))+P1(f318(f318(f226(x79891),f2(x79891)),x79892))
% 182.43/182.08 [7990]~P124(x79901)+~P1(f318(f318(f226(x79901),f318(f318(f76(x79901),x79902),x79903)),f2(x79901)))+P1(f318(f318(f226(x79901),x79902),f2(x79901)))+P1(f318(f318(f226(x79901),f2(x79901)),x79902))
% 182.43/182.08 [7991]~P62(x79911)+~P1(f318(f318(f226(x79911),f318(f318(f282(x79911),x79913),x79912)),f2(x79911)))+P1(f318(f318(f226(x79911),x79912),f2(x79911)))+P1(f318(f318(f226(x79911),f2(x79911)),x79912))
% 182.43/182.08 [7992]~P62(x79921)+~P1(f318(f318(f226(x79921),f318(f318(f282(x79921),x79922),x79923)),f2(x79921)))+P1(f318(f318(f226(x79921),x79922),f2(x79921)))+P1(f318(f318(f226(x79921),f2(x79921)),x79922))
% 182.43/182.08 [7993]~P62(x79931)+~P1(f318(f318(f227(x79931),f318(f318(f282(x79931),x79933),x79932)),f2(x79931)))+P1(f318(f318(f227(x79931),x79932),f2(x79931)))+P1(f318(f318(f227(x79931),f2(x79931)),x79932))
% 182.43/182.08 [7994]~P62(x79941)+~P1(f318(f318(f227(x79941),f318(f318(f282(x79941),x79942),x79943)),f2(x79941)))+P1(f318(f318(f227(x79941),x79942),f2(x79941)))+P1(f318(f318(f227(x79941),f2(x79941)),x79942))
% 182.43/182.08 [8018]~P124(x80181)+~P1(f318(f318(f226(x80181),f318(f318(f76(x80181),x80182),x80183)),f2(x80181)))+P1(f318(f318(f226(x80181),f2(x80181)),x80182))+P1(f318(f318(f226(x80181),f2(x80181)),x80183))
% 182.43/182.08 [8019]~P62(x80191)+~P1(f318(f318(f226(x80191),f318(f318(f282(x80191),x80192),x80193)),f2(x80191)))+P1(f318(f318(f226(x80191),f2(x80191)),x80192))+P1(f318(f318(f226(x80191),f2(x80191)),x80193))
% 182.43/182.08 [8020]~P62(x80201)+~P1(f318(f318(f227(x80201),f318(f318(f282(x80201),x80202),x80203)),f2(x80201)))+P1(f318(f318(f227(x80201),f2(x80201)),x80202))+P1(f318(f318(f227(x80201),f2(x80201)),x80203))
% 182.43/182.08 [8042]P147(x80422,x80421,x80423)+E(x80421,f2(a1))+P1(f318(f318(f226(a1),f839(x80423,x80421,x80422)),f2(a1)))+P1(f318(f318(f227(a1),f840(x80423,x80421,x80422)),x80421))
% 182.43/182.08 [8043]P146(x80432,x80431,x80433)+E(x80431,f2(a1))+P1(f318(f318(f226(a1),f846(x80433,x80431,x80432)),f2(a1)))+P1(f318(f318(f227(a1),f847(x80433,x80431,x80432)),x80431))
% 182.43/182.08 [8050]~P109(x80501)+~P1(f318(f318(f227(x80501),x80502),f73(x80501)))+P1(f318(f318(f227(x80501),f318(f318(f235(x80501),x80502),f318(a103,x80503))),f73(x80501)))+~P1(f318(f318(f227(x80501),f2(x80501)),x80502))
% 182.43/182.08 [8103]~P82(x81031)+~E(x81033,f104(x81031))+~P13(x81031,f318(f159(x81031),x81033))+E(f318(f133(x81031,x81031,f318(f7(x81031,x81031,x81031),f225(x81031)),x81032),f318(f159(x81031),x81033)),x81032)
% 182.43/182.08 [8106]P146(x81061,x81062,x81063)+~P1(f318(x81061,x81063))+P1(f318(f318(f226(a1),f846(x81063,x81062,x81061)),f2(a1)))+P1(f318(f318(f227(a1),f847(x81063,x81062,x81061)),x81062))
% 182.43/182.08 [8113]P147(x81131,x81132,x81133)+~P1(f318(x81131,f2(a1)))+P1(f318(f318(f226(a1),f839(x81133,x81132,x81131)),f2(a1)))+P1(f318(f318(f227(a1),f840(x81133,x81132,x81131)),x81132))
% 182.43/182.08 [8331]P147(x83313,x83311,x83312)+E(x83311,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83311),f845(x83312,x83311,x83313))),f839(x83312,x83311,x83313)),x83312)+P1(f318(f318(f227(a1),f840(x83312,x83311,x83313)),x83311))
% 182.43/182.08 [8332]P146(x83323,x83321,x83322)+E(x83321,f2(a1))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83321),f850(x83322,x83321,x83323))),f846(x83322,x83321,x83323)),x83322)+P1(f318(f318(f227(a1),f847(x83322,x83321,x83323)),x83321))
% 182.43/182.08 [8368]P146(x83683,x83681,x83682)+~P1(f318(x83683,x83682))+E(f318(f318(f75(a1),f318(f318(f76(a1),x83681),f850(x83682,x83681,x83683))),f846(x83682,x83681,x83683)),x83682)+P1(f318(f318(f227(a1),f847(x83682,x83681,x83683)),x83681))
% 182.43/182.08 [8369]~P74(x83691)+~P75(x83691)+~P39(x83693)+E(f318(f318(f6(a898,x83691),f318(f318(f8(a1,x83691,a898),x83692),f91(a1))),f318(f301(a1,a898,a95),x83693)),f318(f318(f6(a1,x83691),x83692),x83693))
% 182.43/182.08 [8370]~P74(x83701)+~P75(x83701)+~P39(x83703)+E(f318(f318(f9(a898,x83701),f318(f318(f8(a1,x83701,a898),x83702),f91(a1))),f318(f301(a1,a898,a95),x83703)),f318(f318(f9(a1,x83701),x83702),x83703))
% 182.43/182.08 [8379]P147(x83793,x83791,x83792)+E(f318(f318(f75(a1),f318(f318(f76(a1),x83791),f845(x83792,x83791,x83793))),f839(x83792,x83791,x83793)),x83792)+~P1(f318(x83793,f2(a1)))+P1(f318(f318(f227(a1),f840(x83792,x83791,x83793)),x83791))
% 182.43/182.08 [8402]~E(x84022,f2(a898))+~E(f318(f242(a898,a898),x84023),f2(a898))+~E(x84021,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x84023)),x84022)),f318(f247(a898,a898),x84023)))+P1(f318(f43(x84021,x84022),x84023))
% 182.43/182.08 [8459]P1(f318(x84591,x84592))+~P1(f318(f318(f320(x84593),f452(x84591,x84592,x84593)),f467(x84591,x84592,x84593)))+~P1(f318(f28(x84593),x84592))+~P1(f318(x84591,f179(f905(x84593,a894))))
% 182.43/182.08 [9087]P1(f318(x90871,x90872))+~P1(f318(f28(x90873),x90872))+~P1(f318(x90871,f318(f318(f300(x90873),f452(x90871,x90872,x90873)),f467(x90871,x90872,x90873))))+~P1(f318(x90871,f179(f905(x90873,a894))))
% 182.43/182.08 [9319]P1(f318(f318(f226(a1),x93191),f2(a1)))+~P1(f318(f318(f227(a1),f318(f318(f75(a1),f318(f318(f76(a1),x93193),x93191)),x93192)),f2(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x93192))+~P1(f318(f318(f227(a1),f2(a1)),x93193))
% 182.43/182.08 [5874]~P83(x58742)+E(x58741,f179(f905(x58742,a894)))+~P1(f318(f28(x58742),x58741))+E(f10(x58742,f318(f318(f300(x58742),x58743),x58741)),f318(f318(f92(x58742),x58743),f10(x58742,x58741)))
% 182.43/182.08 [5875]~P83(x58752)+E(x58751,f179(f905(x58752,a894)))+~P1(f318(f28(x58752),x58751))+E(f13(x58752,f318(f318(f300(x58752),x58753),x58751)),f318(f318(f101(x58752),x58753),f13(x58752,x58751)))
% 182.43/182.08 [5876]~P82(x58762)+E(x58761,f179(f905(x58762,a894)))+~P1(f318(f28(x58762),x58761))+E(f14(x58762,f318(f318(f300(x58762),x58763),x58761)),f318(f318(f224(x58762),x58763),f14(x58762,x58761)))
% 182.43/182.08 [5877]~P82(x58772)+E(x58771,f179(f905(x58772,a894)))+~P1(f318(f28(x58772),x58771))+E(f15(x58772,f318(f318(f300(x58772),x58773),x58771)),f318(f318(f225(x58772),x58773),f15(x58772,x58771)))
% 182.43/182.08 [6208]~P124(x62081)+~E(x62083,f2(x62081))+~E(x62082,f2(x62081))+E(f318(f318(f75(x62081),f318(f318(f76(x62081),x62082),x62082)),f318(f318(f76(x62081),x62083),x62083)),f2(x62081))
% 182.43/182.08 [6281]~P98(x62812)+E(x62811,f179(f905(x62812,a894)))+~P1(f318(f28(x62812),x62811))+E(f318(f57(x62812,f76(x62812)),f318(f318(f300(x62812),x62813),x62811)),f318(f318(f76(x62812),x62813),f318(f57(x62812,f76(x62812)),x62811)))
% 182.43/182.08 [6412]~P82(x64122)+E(x64121,f179(f905(x64122,a894)))+~P1(f318(f28(x64122),x64121))+E(f11(x64122,f224(x64122),f318(f318(f300(x64122),x64123),x64121)),f318(f318(f224(x64122),x64123),f11(x64122,f224(x64122),x64121)))
% 182.43/182.08 [6413]~P82(x64132)+E(x64131,f179(f905(x64132,a894)))+~P1(f318(f28(x64132),x64131))+E(f12(x64132,f225(x64132),f318(f318(f300(x64132),x64133),x64131)),f318(f318(f225(x64132),x64133),f12(x64132,f225(x64132),x64131)))
% 182.43/182.08 [6934]~P71(x69341)+~P1(f318(f28(x69341),x69343))+E(f318(f57(x69341,f76(x69341)),f318(f318(f300(x69341),x69342),x69343)),f318(f318(f58(x69341,x69341,f76(x69341)),x69342),x69343))+P1(f318(f318(f320(x69341),x69342),x69343))
% 182.43/182.08 [7016]~E(f318(f318(f75(a1),x70162),f318(f318(f76(a1),x70163),x70161)),x70163)+~P1(f318(f318(f227(a1),f2(a1)),x70163))+P1(f318(f318(f226(a1),f73(a1)),x70161))+~P1(f318(f318(f227(a1),x70162),x70163))
% 182.43/182.08 [7045]~E(f318(f318(f75(a1),x70452),f318(f318(f76(a1),x70453),x70451)),x70453)+P1(f318(f318(f226(a1),x70451),f73(a1)))+~P1(f318(f318(f226(a1),f2(a1)),x70452))+~P1(f318(f318(f227(a1),f2(a1)),x70453))
% 182.43/182.08 [7063]E(x70631,f2(a898))+~P1(f318(f43(x70633,x70631),x70632))+~P1(f318(f318(f227(a898),f2(a898)),x70631))+P1(f318(f318(f227(a898),f318(f247(a898,a898),x70632)),x70631))
% 182.43/182.08 [7094]~P139(x70941)+~P1(f318(f318(f226(x70941),x70942),f2(x70941)))+~P1(f318(f318(f226(x70941),x70943),f2(x70941)))+E(f318(f318(f76(x70941),f318(f70(x70941),x70942)),f318(f70(x70941),x70943)),f318(f70(x70941),f318(f318(f76(x70941),x70942),x70943)))
% 182.43/182.08 [7141]~P139(x71411)+~P1(f318(f318(f226(x71411),x71412),f2(x71411)))+E(f318(f318(f76(x71411),f318(f70(x71411),x71412)),f318(f70(x71411),x71413)),f318(f70(x71411),f318(f318(f76(x71411),x71412),x71413)))+~P1(f318(f318(f226(x71411),f2(x71411)),x71413))
% 182.43/182.08 [7142]~P139(x71421)+~P1(f318(f318(f226(x71421),x71423),f2(x71421)))+E(f318(f318(f76(x71421),f318(f70(x71421),x71422)),f318(f70(x71421),x71423)),f318(f70(x71421),f318(f318(f76(x71421),x71422),x71423)))+~P1(f318(f318(f226(x71421),f2(x71421)),x71422))
% 182.43/182.08 [7198]~P139(x71981)+E(f318(f318(f76(x71981),f318(f70(x71981),x71982)),f318(f70(x71981),x71983)),f318(f70(x71981),f318(f318(f76(x71981),x71982),x71983)))+~P1(f318(f318(f226(x71981),f2(x71981)),x71982))+~P1(f318(f318(f226(x71981),f2(x71981)),x71983))
% 182.43/182.08 [7215]~P136(x72151)+~P1(f318(f318(f226(x72151),x72153),f2(x72151)))+~P1(f318(f318(f226(x72151),x72152),f2(x72151)))+P1(f318(f318(f226(x72151),f2(x72151)),f318(f318(f76(x72151),x72152),x72153)))
% 182.43/182.08 [7216]~P124(x72161)+~P1(f318(f318(f226(x72161),x72163),f2(x72161)))+~P1(f318(f318(f226(x72161),x72162),f2(x72161)))+P1(f318(f318(f226(x72161),f2(x72161)),f318(f318(f76(x72161),x72162),x72163)))
% 182.43/182.08 [7217]~P62(x72171)+~P1(f318(f318(f226(x72171),x72173),f2(x72171)))+~P1(f318(f318(f226(x72171),x72172),f2(x72171)))+P1(f318(f318(f226(x72171),f2(x72171)),f318(f318(f282(x72171),x72172),x72173)))
% 182.43/182.08 [7218]~P63(x72181)+~P1(f318(f318(f227(x72181),x72183),f2(x72181)))+~P1(f318(f318(f226(x72181),x72182),f2(x72181)))+P1(f318(f318(f226(x72181),f2(x72181)),f318(f318(f282(x72181),x72182),x72183)))
% 182.43/182.08 [7219]~P124(x72191)+~P1(f318(f318(f227(x72191),x72193),f2(x72191)))+~P1(f318(f318(f227(x72191),x72192),f2(x72191)))+P1(f318(f318(f227(x72191),f2(x72191)),f318(f318(f76(x72191),x72192),x72193)))
% 182.43/182.08 [7220]~P62(x72201)+~P1(f318(f318(f227(x72201),x72203),f2(x72201)))+~P1(f318(f318(f227(x72201),x72202),f2(x72201)))+P1(f318(f318(f227(x72201),f2(x72201)),f318(f318(f282(x72201),x72202),x72203)))
% 182.43/182.08 [7221]~P63(x72211)+~P1(f318(f318(f227(x72211),x72213),f2(x72211)))+~P1(f318(f318(f227(x72211),x72212),f2(x72211)))+P1(f318(f318(f227(x72211),f2(x72211)),f318(f318(f282(x72211),x72212),x72213)))
% 182.43/182.08 [7222]~P109(x72221)+~P1(f318(f318(f227(a898),f2(a898)),x72223))+~P1(f318(f318(f227(x72221),f73(x72221)),x72222))+P1(f318(f318(f227(x72221),f73(x72221)),f318(f318(f235(x72221),x72222),x72223)))
% 182.43/182.08 [7320]~P135(x73201)+~P1(f318(f318(f226(x73201),f2(x73201)),x73203))+~P1(f318(f318(f226(x73201),f2(x73201)),x73202))+P1(f318(f318(f226(x73201),f2(x73201)),f318(f318(f76(x73201),x73202),x73203)))
% 182.43/182.08 [7321]~P136(x73211)+~P1(f318(f318(f226(x73211),f2(x73211)),x73213))+~P1(f318(f318(f226(x73211),f2(x73211)),x73212))+P1(f318(f318(f226(x73211),f2(x73211)),f318(f318(f76(x73211),x73212),x73213)))
% 182.43/182.08 [7322]~P124(x73221)+~P1(f318(f318(f226(x73221),f2(x73221)),x73223))+~P1(f318(f318(f226(x73221),f2(x73221)),x73222))+P1(f318(f318(f226(x73221),f2(x73221)),f318(f318(f76(x73221),x73222),x73223)))
% 182.43/182.08 [7323]~P62(x73231)+~P1(f318(f318(f226(x73231),f2(x73231)),x73233))+~P1(f318(f318(f226(x73231),f2(x73231)),x73232))+P1(f318(f318(f226(x73231),f2(x73231)),f318(f318(f282(x73231),x73232),x73233)))
% 182.43/182.08 [7324]~P63(x73241)+~P1(f318(f318(f227(x73241),f2(x73241)),x73243))+~P1(f318(f318(f226(x73241),f2(x73241)),x73242))+P1(f318(f318(f226(x73241),f2(x73241)),f318(f318(f282(x73241),x73242),x73243)))
% 182.43/182.08 [7325]~P109(x73251)+~P1(f318(f318(f227(x73251),f73(x73251)),x73253))+~P1(f318(f318(f227(x73251),f73(x73251)),x73252))+P1(f318(f318(f227(x73251),f73(x73251)),f318(f318(f76(x73251),x73252),x73253)))
% 182.43/182.08 [7328]~P90(x73281)+~P1(f318(f318(f227(x73281),f2(x73281)),x73283))+~P1(f318(f318(f227(x73281),f2(x73281)),x73282))+P1(f318(f318(f227(x73281),f2(x73281)),f318(f318(f75(x73281),x73282),x73283)))
% 182.43/182.08 [7329]~P131(x73291)+~P1(f318(f318(f227(x73291),f2(x73291)),x73293))+~P1(f318(f318(f227(x73291),f2(x73291)),x73292))+P1(f318(f318(f227(x73291),f2(x73291)),f318(f318(f76(x73291),x73292),x73293)))
% 182.43/182.08 [7330]~P62(x73301)+~P1(f318(f318(f227(x73301),f2(x73301)),x73303))+~P1(f318(f318(f227(x73301),f2(x73301)),x73302))+P1(f318(f318(f227(x73301),f2(x73301)),f318(f318(f282(x73301),x73302),x73303)))
% 182.43/182.08 [7331]~P63(x73311)+~P1(f318(f318(f227(x73311),f2(x73311)),x73313))+~P1(f318(f318(f227(x73311),f2(x73311)),x73312))+P1(f318(f318(f227(x73311),f2(x73311)),f318(f318(f282(x73311),x73312),x73313)))
% 182.43/182.08 [7410]~P83(x74101)+~P1(f318(f28(x74101),x74103))+E(f10(x74101,f318(f318(f300(x74101),x74102),x74103)),x74102)+~E(f318(f318(f23(f905(x74101,a894)),x74103),f318(f318(f300(x74101),x74102),f179(f905(x74101,a894)))),f179(f905(x74101,a894)))
% 182.43/182.08 [7411]~P83(x74111)+~P1(f318(f28(x74111),x74113))+E(f13(x74111,f318(f318(f300(x74111),x74112),x74113)),x74112)+~E(f318(f318(f23(f905(x74111,a894)),x74113),f318(f318(f300(x74111),x74112),f179(f905(x74111,a894)))),f179(f905(x74111,a894)))
% 182.43/182.08 [7412]~P82(x74121)+~P1(f318(f28(x74121),x74123))+E(f14(x74121,f318(f318(f300(x74121),x74122),x74123)),x74122)+~E(f318(f318(f23(f905(x74121,a894)),x74123),f318(f318(f300(x74121),x74122),f179(f905(x74121,a894)))),f179(f905(x74121,a894)))
% 182.43/182.08 [7413]~P82(x74131)+~P1(f318(f28(x74131),x74133))+E(f15(x74131,f318(f318(f300(x74131),x74132),x74133)),x74132)+~E(f318(f318(f23(f905(x74131,a894)),x74133),f318(f318(f300(x74131),x74132),f179(f905(x74131,a894)))),f179(f905(x74131,a894)))
% 182.43/182.08 [7415]~P124(x74151)+P1(f318(f318(f226(x74151),x74152),f2(x74151)))+P1(f318(f318(f226(x74151),f2(x74151)),x74153))+~P1(f318(f318(f226(x74151),f2(x74151)),f318(f318(f76(x74151),x74153),x74152)))
% 182.43/182.08 [7416]~P124(x74161)+P1(f318(f318(f226(x74161),x74162),f2(x74161)))+P1(f318(f318(f226(x74161),f2(x74161)),x74163))+~P1(f318(f318(f226(x74161),f2(x74161)),f318(f318(f76(x74161),x74162),x74163)))
% 182.43/182.08 [7417]~P62(x74171)+P1(f318(f318(f226(x74171),x74172),f2(x74171)))+P1(f318(f318(f226(x74171),f2(x74171)),x74173))+~P1(f318(f318(f226(x74171),f2(x74171)),f318(f318(f282(x74171),x74173),x74172)))
% 182.43/182.08 [7418]~P62(x74181)+P1(f318(f318(f226(x74181),x74182),f2(x74181)))+P1(f318(f318(f226(x74181),f2(x74181)),x74183))+~P1(f318(f318(f226(x74181),f2(x74181)),f318(f318(f282(x74181),x74182),x74183)))
% 182.43/182.08 [7419]~P124(x74191)+P1(f318(f318(f226(x74191),x74192),f2(x74191)))+P1(f318(f318(f226(x74191),f2(x74191)),x74192))+~P1(f318(f318(f226(x74191),f2(x74191)),f318(f318(f76(x74191),x74193),x74192)))
% 182.43/182.08 [7420]~P124(x74201)+P1(f318(f318(f226(x74201),x74202),f2(x74201)))+P1(f318(f318(f226(x74201),f2(x74201)),x74202))+~P1(f318(f318(f226(x74201),f2(x74201)),f318(f318(f76(x74201),x74202),x74203)))
% 182.43/182.08 [7421]~P62(x74211)+P1(f318(f318(f226(x74211),x74212),f2(x74211)))+P1(f318(f318(f226(x74211),f2(x74211)),x74212))+~P1(f318(f318(f226(x74211),f2(x74211)),f318(f318(f282(x74211),x74213),x74212)))
% 182.43/182.08 [7422]~P62(x74221)+P1(f318(f318(f226(x74221),x74222),f2(x74221)))+P1(f318(f318(f226(x74221),f2(x74221)),x74222))+~P1(f318(f318(f226(x74221),f2(x74221)),f318(f318(f282(x74221),x74222),x74223)))
% 182.43/182.08 [7423]~P62(x74231)+P1(f318(f318(f227(x74231),x74232),f2(x74231)))+P1(f318(f318(f227(x74231),f2(x74231)),x74233))+~P1(f318(f318(f227(x74231),f2(x74231)),f318(f318(f282(x74231),x74233),x74232)))
% 182.43/182.08 [7424]~P62(x74241)+P1(f318(f318(f227(x74241),x74242),f2(x74241)))+P1(f318(f318(f227(x74241),f2(x74241)),x74243))+~P1(f318(f318(f227(x74241),f2(x74241)),f318(f318(f282(x74241),x74242),x74243)))
% 182.43/182.08 [7425]~P62(x74251)+P1(f318(f318(f227(x74251),x74252),f2(x74251)))+P1(f318(f318(f227(x74251),f2(x74251)),x74252))+~P1(f318(f318(f227(x74251),f2(x74251)),f318(f318(f282(x74251),x74253),x74252)))
% 182.43/182.08 [7426]~P62(x74261)+P1(f318(f318(f227(x74261),x74262),f2(x74261)))+P1(f318(f318(f227(x74261),f2(x74261)),x74262))+~P1(f318(f318(f227(x74261),f2(x74261)),f318(f318(f282(x74261),x74262),x74263)))
% 182.43/182.08 [7499]~P1(f318(f318(f278(a898),x74991),x74993))+P1(f318(f318(f278(a898),x74991),x74992))+~P1(f318(f318(f226(a898),x74992),x74993))+~P1(f318(f318(f278(a898),x74991),f318(f318(f23(a898),x74993),x74992)))
% 182.43/182.08 [7500]~P1(f318(f318(f278(a898),x75001),x75003))+P1(f318(f318(f278(a898),x75001),x75002))+~P1(f318(f318(f226(a898),x75003),x75002))+~P1(f318(f318(f278(a898),x75001),f318(f318(f23(a898),x75002),x75003)))
% 182.43/182.08 [7515]~E(f318(f318(f92(f905(x75151,a894)),f318(f163(x75151),x75152)),f318(f163(x75151),x75153)),f179(f905(x75151,a894)))+~P1(f318(f128(x75151),x75153))+~P1(f318(f128(x75151),x75152))+P1(f318(f128(x75151),f318(f318(f125(x75151),x75152),x75153)))
% 182.43/182.08 [7516]~P82(x75161)+~P1(f318(f28(x75161),x75163))+E(f11(x75161,f224(x75161),f318(f318(f300(x75161),x75162),x75163)),x75162)+~E(f318(f318(f23(f905(x75161,a894)),x75163),f318(f318(f300(x75161),x75162),f179(f905(x75161,a894)))),f179(f905(x75161,a894)))
% 182.43/182.08 [7517]~P82(x75171)+~P1(f318(f28(x75171),x75173))+E(f12(x75171,f225(x75171),f318(f318(f300(x75171),x75172),x75173)),x75172)+~E(f318(f318(f23(f905(x75171,a894)),x75173),f318(f318(f300(x75171),x75172),f179(f905(x75171,a894)))),f179(f905(x75171,a894)))
% 182.43/182.08 [7530]~P87(x75301)+~P1(f318(f318(f226(x75301),x75302),x75303))+~P1(f318(f318(f226(x75301),f318(f74(x75301),x75302)),x75303))+P1(f318(f318(f226(x75301),f318(f70(x75301),x75302)),x75303))
% 182.43/182.08 [7531]~P110(x75311)+~P1(f318(f318(f227(x75311),x75312),x75313))+~P1(f318(f318(f227(x75311),f318(f74(x75311),x75312)),x75313))+P1(f318(f318(f227(x75311),f318(f70(x75311),x75312)),x75313))
% 182.43/182.08 [7597]~P131(x75971)+P1(f318(f318(f227(x75971),f2(x75971)),x75972))+~P1(f318(f318(f227(x75971),f2(x75971)),x75973))+~P1(f318(f318(f227(x75971),f2(x75971)),f318(f318(f76(x75971),x75973),x75972)))
% 182.43/182.08 [7598]~P131(x75981)+P1(f318(f318(f227(x75981),f2(x75981)),x75982))+~P1(f318(f318(f227(x75981),f2(x75981)),x75983))+~P1(f318(f318(f227(x75981),f2(x75981)),f318(f318(f76(x75981),x75982),x75983)))
% 182.43/182.08 [7901]E(x79011,x79012)+~P1(f318(f28(x79013),x79011))+~P1(f318(f318(f226(a898),f318(f29(x79013),x79011)),f318(f29(x79013),x79012)))+~P1(f318(f318(f226(f905(x79013,a894)),x79012),x79011))
% 182.43/182.08 [8047]~P1(f318(f318(f227(a1),x80471),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x80472))+~P1(f318(f318(f226(a1),x80472),x80473))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x80471),x80472)),f318(f318(f30(a1),x80471),x80473)))
% 182.43/182.08 [8057]~P1(f318(f318(f226(a1),f2(a1)),x80571))+~P1(f318(f318(f227(a1),f2(a1)),x80573))+~P1(f318(f318(f226(a1),x80573),x80572))+P1(f318(f318(f226(a1),f318(f318(f30(a1),x80571),x80572)),f318(f318(f30(a1),x80571),x80573)))
% 182.43/182.08 [8191]E(f318(x81911,f387(x81912,x81911,x81913)),x81912)+~P1(f318(f318(f226(a1),x81912),f318(x81911,x81913)))+P1(f318(f318(f227(a898),f388(x81912,x81911,x81913)),x81913))+~P1(f318(f318(f226(a1),f318(x81911,f2(a898))),x81912))
% 182.43/182.08 [8192]E(f318(x81921,f390(x81922,x81921,x81923)),x81922)+~P1(f318(f318(f226(a1),x81922),f318(x81921,x81923)))+P1(f318(f318(f227(a898),f391(x81922,x81921,x81923)),x81923))+~P1(f318(f318(f226(a1),f318(x81921,f2(a898))),x81922))
% 182.43/182.08 [8294]~P1(f318(f28(x82941),x82943))+~P1(f318(f318(f227(a898),f318(f29(x82941),x82942)),f318(f29(x82941),x82943)))+~P1(f318(f318(f226(f905(x82941,a894)),x82942),x82943))+P1(f318(f318(f227(f905(x82941,a894)),x82942),x82943))
% 182.43/182.08 [8321]E(f318(f318(f75(a1),f329(x83213,x83211,x83212)),f330(x83213,x83211,x83212)),x83211)+E(f318(f318(f23(a1),x83211),x83212),x83211)+~P1(f318(f318(f227(a1),f2(a1)),x83212))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x83211),f73(a1))),x83213))
% 182.43/182.08 [8322]E(f318(f318(f23(a1),f340(x83223,x83221,x83222)),f341(x83223,x83221,x83222)),x83221)+E(f318(f318(f75(a1),x83221),x83222),x83221)+~P1(f318(f318(f227(a1),f2(a1)),x83222))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x83221),f73(a1))),x83223))
% 182.43/182.08 [8374]~P1(f318(f318(f226(a898),x83743),x83741))+P1(f318(f318(f226(a898),x83741),x83742))+~P1(f318(f318(f226(a898),x83743),x83742))+~P1(f318(f318(f226(a898),f318(f318(f23(a898),x83741),x83743)),f318(f318(f23(a898),x83742),x83743)))
% 182.43/182.08 [8375]~P1(f318(f318(f226(a898),x83753),x83751))+P1(f318(f318(f227(a898),x83751),x83752))+~P1(f318(f318(f226(a898),x83753),x83752))+~P1(f318(f318(f227(a898),f318(f318(f23(a898),x83751),x83753)),f318(f318(f23(a898),x83752),x83753)))
% 182.43/182.08 [8394]~P82(x83942)+E(x83941,f104(x83942))+~P13(x83942,f318(f159(x83942),x83941))+E(f318(f133(x83942,x83942,f318(f7(x83942,x83942,x83942),f225(x83942)),x83943),f318(f159(x83942),x83941)),f318(f318(f225(x83942),f318(f318(f155(x83942),x83941),f2(a898))),x83943))
% 182.43/182.08 [8464]E(f318(f318(f23(a1),x84641),x84642),x84641)+~P1(f318(f318(f227(a1),f2(a1)),x84642))+P1(f318(f318(f320(a1),f329(x84643,x84641,x84642)),x84643))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x84641),f73(a1))),x84643))
% 182.43/182.08 [8465]E(f318(f318(f75(a1),x84651),x84652),x84651)+~P1(f318(f318(f227(a1),f2(a1)),x84652))+P1(f318(f318(f320(a1),f340(x84653,x84651,x84652)),x84653))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x84651),f73(a1))),x84653))
% 182.43/182.08 [8537]~P1(f318(f318(f226(a1),x85371),f318(x85372,x85373)))+P1(f318(f318(f227(a898),f388(x85371,x85372,x85373)),x85373))+P1(f318(f318(f226(a898),f387(x85371,x85372,x85373)),x85373))+~P1(f318(f318(f226(a1),f318(x85372,f2(a898))),x85371))
% 182.43/182.08 [8538]~P1(f318(f318(f226(a1),x85381),f318(x85382,x85383)))+P1(f318(f318(f227(a898),f391(x85381,x85382,x85383)),x85383))+P1(f318(f318(f226(a898),f390(x85381,x85382,x85383)),x85383))+~P1(f318(f318(f226(a1),f318(x85382,f2(a898))),x85381))
% 182.43/182.08 [8610]E(f318(f318(f23(a1),x86101),x86102),x86101)+~P1(f318(f318(f227(a1),f2(a1)),x86102))+P1(f318(f318(f320(a1),f330(x86103,x86101,x86102)),f294(a1,f73(a1),x86102)))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x86101),f73(a1))),x86103))
% 182.43/182.08 [8611]E(f318(f318(f75(a1),x86111),x86112),x86111)+~P1(f318(f318(f227(a1),f2(a1)),x86112))+P1(f318(f318(f320(a1),f341(x86113,x86111,x86112)),f294(a1,f73(a1),x86112)))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x86111),f73(a1))),x86113))
% 182.43/182.08 [8744]~P109(x87441)+~P1(f318(f318(f227(x87441),x87442),f73(x87441)))+~P1(f318(f318(f227(x87441),f2(x87441)),x87442))+P1(f318(f318(f227(x87441),f318(f318(f76(x87441),x87442),f318(f318(f235(x87441),x87442),x87443))),f318(f318(f235(x87441),x87442),x87443)))
% 182.43/182.08 [8837]~P1(f318(x88371,x88372))+P1(f318(x88371,f2(a898)))+~P1(f318(f318(f227(a898),x88372),x88373))+~P1(f318(x88371,f40(a898,f318(a103,f442(x88372,x88371,x88373)),x88373)))
% 182.43/182.08 [8989]E(f463(x89891,x89892,x89893),f2(a898))+P1(f318(f318(x89891,x89893),x89892))+P1(f318(f318(x89891,f463(x89891,x89892,x89893)),f40(a898,f462(x89891,x89892,x89893),f463(x89891,x89892,x89893))))+~P1(f318(f306(f904(a898,a898),a210),f318(f318(f243(a898,a898),x89893),x89892)))
% 182.43/182.08 [9027]~P24(x90271,x90271,x90272,x90273)+E(f318(f301(x90271,x90271,x90272),x90273),x90273)+~P1(f318(f28(x90271),x90273))+~P1(f318(f318(f226(f905(x90271,a894)),f318(f301(x90271,x90271,x90272),x90273)),x90273))
% 182.43/182.08 [9245]P1(f318(f318(x92451,x92452),x92453))+P1(f318(f318(f227(a1),f752(x92451,x92453,x92452)),f753(x92451,x92453,x92452)))+P1(f318(f318(x92451,f752(x92451,x92453,x92452)),f318(f318(f75(a1),f753(x92451,x92453,x92452)),f73(a1))))+~P1(f318(f306(f904(a1,a1),a124),f318(f318(f243(a1,a1),x92452),x92453)))
% 182.43/182.08 [9262]P1(f318(f318(x92621,x92622),x92623))+~P1(f318(f318(f227(a1),f461(x92621,x92623,x92622)),f2(a1)))+P1(f318(f318(x92621,f318(f74(a1),f460(x92621,x92623,x92622))),f318(f74(a1),f461(x92621,x92623,x92622))))+~P1(f318(f306(f904(a1,a1),a212),f318(f318(f243(a1,a1),x92622),x92623)))
% 182.43/182.08 [9453]P1(f318(f318(x94531,x94532),x94533))+P1(f318(f318(x94531,f318(f318(f75(a1),f655(x94531,x94533,x94532)),f73(a1))),f657(x94531,x94533,x94532)))+~P1(f318(f318(f226(a1),f655(x94531,x94533,x94532)),f657(x94531,x94533,x94532)))+~P1(f318(f306(f904(a1,a1),a173),f318(f318(f243(a1,a1),x94532),x94533)))
% 182.43/182.08 [9895]~P59(x98952)+~P59(x98951)+~P1(f318(f51(f904(x98951,x98952)),x98953))+P1(f318(f51(x98951),f318(f318(f8(f905(x98952,a894),a894,x98951),f51(x98952)),f318(f318(f8(f905(x98952,f904(x98951,x98952)),f905(x98952,a894),x98951),f318(f8(f904(x98951,x98952),a894,x98952),x98953)),f243(x98951,x98952)))))
% 182.43/182.08 [9896]~P59(x98962)+~P59(x98961)+~P1(f318(f52(f904(x98961,x98962)),x98963))+P1(f318(f52(x98961),f318(f318(f8(f905(x98962,a894),a894,x98961),f52(x98962)),f318(f318(f8(f905(x98962,f904(x98961,x98962)),f905(x98962,a894),x98961),f318(f8(f904(x98961,x98962),a894,x98962),x98963)),f243(x98961,x98962)))))
% 182.43/182.08 [9990]~P59(x99902)+~P59(x99901)+P1(f318(f51(f904(x99901,x99902)),x99903))+~P1(f318(f51(x99901),f318(f318(f8(f905(x99902,a894),a894,x99901),f51(x99902)),f318(f318(f8(f905(x99902,f904(x99901,x99902)),f905(x99902,a894),x99901),f318(f8(f904(x99901,x99902),a894,x99902),x99903)),f243(x99901,x99902)))))
% 182.43/182.08 [9991]~P59(x99912)+~P59(x99911)+P1(f318(f52(f904(x99911,x99912)),x99913))+~P1(f318(f52(x99911),f318(f318(f8(f905(x99912,a894),a894,x99911),f52(x99912)),f318(f318(f8(f905(x99912,f904(x99911,x99912)),f905(x99912,a894),x99911),f318(f8(f904(x99911,x99912),a894,x99912),x99913)),f243(x99911,x99912)))))
% 182.43/182.08 [10163]E(f318(x101631,f387(x101632,x101631,x101633)),x101632)+~P1(f318(f318(f226(a1),x101632),f318(x101631,x101633)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x101631,f318(f318(f75(a898),f388(x101632,x101631,x101633)),f73(a898)))),f318(x101631,f388(x101632,x101631,x101633))))),f73(a1)))+~P1(f318(f318(f226(a1),f318(x101631,f2(a898))),x101632))
% 182.43/182.08 [10164]E(f318(x101641,f390(x101642,x101641,x101643)),x101642)+~P1(f318(f318(f226(a1),x101642),f318(x101641,x101643)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x101641,f318(f318(f75(a898),f391(x101642,x101641,x101643)),f73(a898)))),f318(x101641,f391(x101642,x101641,x101643))))),f73(a1)))+~P1(f318(f318(f226(a1),f318(x101641,f2(a898))),x101642))
% 182.43/182.08 [10167]~P1(f318(f318(f226(a1),x101671),f318(x101672,x101673)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x101672,f318(f318(f75(a898),f388(x101671,x101672,x101673)),f73(a898)))),f318(x101672,f388(x101671,x101672,x101673))))),f73(a1)))+P1(f318(f318(f226(a898),f387(x101671,x101672,x101673)),x101673))+~P1(f318(f318(f226(a1),f318(x101672,f2(a898))),x101671))
% 182.43/182.08 [10168]~P1(f318(f318(f226(a1),x101681),f318(x101682,x101683)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x101682,f318(f318(f75(a898),f391(x101681,x101682,x101683)),f73(a898)))),f318(x101682,f391(x101681,x101682,x101683))))),f73(a1)))+P1(f318(f318(f226(a898),f390(x101681,x101682,x101683)),x101683))+~P1(f318(f318(f226(a1),f318(x101682,f2(a898))),x101681))
% 182.43/182.08 [10225]E(x102251,x102252)+~E(f318(f133(f899(x102253),f899(x102253),f125(x102253),f104(x102253)),x102251),f318(f133(f899(x102253),f899(x102253),f125(x102253),f104(x102253)),x102252))+~E(f318(f180(f899(f899(x102253))),x102251),f318(f180(f899(f899(x102253))),x102252))+~P1(f318(f318(f248(f899(x102253),f899(x102253),a894),f318(f318(f7(f899(x102253),f905(f899(x102253),a898),f905(f899(x102253),a894)),f318(f318(f8(f905(a898,a894),f905(f905(f899(x102253),a898),f905(f899(x102253),a894)),f899(x102253)),f8(a898,a894,f899(x102253))),f318(f318(f8(a898,f905(a898,a894),f899(x102253)),a315),f180(f899(x102253))))),f180(f899(x102253)))),f683(x102251,x102252,x102253)))
% 182.43/182.08 [10226]E(x102261,x102262)+~E(f318(f133(f899(x102263),f899(x102263),f125(x102263),f104(x102263)),x102261),f318(f133(f899(x102263),f899(x102263),f125(x102263),f104(x102263)),x102262))+~E(f318(f180(f899(f899(x102263))),x102261),f318(f180(f899(f899(x102263))),x102262))+~P1(f318(f318(f248(f899(x102263),f899(x102263),a894),f318(f318(f7(f899(x102263),f905(f899(x102263),a898),f905(f899(x102263),a894)),f318(f318(f8(f905(a898,a894),f905(f905(f899(x102263),a898),f905(f899(x102263),a894)),f899(x102263)),f8(a898,a894,f899(x102263))),f318(f318(f8(a898,f905(a898,a894),f899(x102263)),a315),f180(f899(x102263))))),f180(f899(x102263)))),f684(x102262,x102261,x102263)))
% 182.43/182.08 [6922]~E(f73(a898),f2(a898))+~P1(f318(f28(x69221),x69223))+~P1(f318(f28(x69221),x69222))+E(f318(f318(f75(a898),f318(f29(x69221),x69222)),f318(f29(x69221),x69223)),f318(f29(x69221),f318(f318(f101(f905(x69221,a894)),x69222),x69223)))
% 182.43/182.08 [7338]~P102(x73381)+~P1(f318(f28(x73381),x73382))+~P1(f318(f318(f320(x73381),x73383),x73382))+P1(f318(f318(f226(x73381),f318(f57(x73381,f92(x73381)),x73382)),x73383))
% 182.43/182.08 [7339]~P82(x73391)+~P1(f318(f28(x73391),x73392))+~P1(f318(f318(f320(x73391),x73393),x73392))+P1(f318(f318(f226(x73391),f318(f57(x73391,f224(x73391)),x73392)),x73393))
% 182.43/182.08 [7591]~P1(f318(f28(x75911),x75913))+~P1(f318(f28(x75911),x75912))+~E(f318(f318(f92(f905(x75911,a894)),x75912),x75913),f179(f905(x75911,a894)))+E(f318(f318(f75(a898),f318(f29(x75911),x75912)),f318(f29(x75911),x75913)),f318(f29(x75911),f318(f318(f101(f905(x75911,a894)),x75912),x75913)))
% 182.43/182.08 [8380]~P36(x83801,x83803)+~P36(x83801,x83802)+~E(f318(f318(f92(f905(x83801,a894)),f318(f255(x83801,x83801),x83802)),f318(f275(x83801,x83801),x83803)),f179(f905(x83801,a894)))+P36(x83801,f318(f318(f101(f905(f904(x83801,x83801),a894)),x83802),x83803))
% 182.43/182.08 [8476]E(x84761,f318(f318(f30(a898),x84762),x84763))+~P1(f318(f318(f227(a898),f2(a898)),x84763))+~P1(f318(f318(f227(a898),x84762),f318(f318(f76(a898),x84763),f318(a103,x84761))))+~P1(f318(f318(f226(a898),f318(f318(f76(a898),x84763),x84761)),x84762))
% 182.43/182.08 [8608]~P1(f318(f28(x86081),x86082))+~P1(f318(f28(x86081),x86083))+E(f318(f318(f75(a898),f318(f29(x86081),x86082)),f318(f29(x86081),x86083)),f318(f29(x86081),f318(f318(f101(f905(x86081,a894)),x86082),x86083)))+P1(f318(f318(f320(x86081),f594(x86083,x86082,x86081)),f318(f318(f92(f905(x86081,a894)),x86082),x86083)))
% 182.43/182.08 [9001]~P124(x90012)+~E(x90011,f2(x90012))+~E(x90013,f2(x90012))+~P1(f318(f318(f227(x90012),f2(x90012)),f318(f318(f75(x90012),f318(f318(f76(x90012),x90013),x90013)),f318(f318(f76(x90012),x90011),x90011))))
% 182.43/182.08 [9534]~P36(x95341,x95343)+~P36(x95341,x95342)+P36(x95341,f318(f318(f101(f905(f904(x95341,x95341),a894)),x95342),x95343))+~P1(f318(f318(f226(f905(f904(x95341,x95341),a894)),f318(f318(f280(x95341,x95341,x95341),x95342),x95343)),x95342))
% 182.43/182.08 [9671]~P1(f318(x96711,x96713))+~P1(f318(f28(x96712),x96713))+P1(f318(x96711,f179(f905(x96712,a894))))+~P1(f318(x96711,f318(f318(f23(f905(x96712,a894)),f360(x96711,x96713,x96712)),f318(f318(f300(x96712),f339(x96711,x96713,x96712)),f179(f905(x96712,a894))))))
% 182.43/182.08 [8784]~P1(f318(f318(f227(a1),f2(a1)),x87843))+P1(f318(f318(f226(a1),f2(a1)),x87841))+~P1(f318(f318(f227(a1),x87842),x87843))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),f318(f318(f76(a1),x87843),x87841)),x87842)))
% 182.43/182.08 [8808]~P83(x88081)+~P1(f318(f28(x88081),x88082))+E(f318(f318(f23(f905(x88081,a894)),x88082),f318(f318(f300(x88081),x88083),f179(f905(x88081,a894)))),f179(f905(x88081,a894)))+E(f318(f318(f92(x88081),x88083),f10(x88081,f318(f318(f23(f905(x88081,a894)),x88082),f318(f318(f300(x88081),x88083),f179(f905(x88081,a894)))))),f10(x88081,f318(f318(f300(x88081),x88083),x88082)))
% 182.43/182.08 [8809]~P83(x88091)+~P1(f318(f28(x88091),x88092))+E(f318(f318(f23(f905(x88091,a894)),x88092),f318(f318(f300(x88091),x88093),f179(f905(x88091,a894)))),f179(f905(x88091,a894)))+E(f318(f318(f101(x88091),x88093),f13(x88091,f318(f318(f23(f905(x88091,a894)),x88092),f318(f318(f300(x88091),x88093),f179(f905(x88091,a894)))))),f13(x88091,f318(f318(f300(x88091),x88093),x88092)))
% 182.43/182.08 [8810]~P82(x88101)+~P1(f318(f28(x88101),x88102))+E(f318(f318(f23(f905(x88101,a894)),x88102),f318(f318(f300(x88101),x88103),f179(f905(x88101,a894)))),f179(f905(x88101,a894)))+E(f318(f318(f224(x88101),x88103),f14(x88101,f318(f318(f23(f905(x88101,a894)),x88102),f318(f318(f300(x88101),x88103),f179(f905(x88101,a894)))))),f14(x88101,f318(f318(f300(x88101),x88103),x88102)))
% 182.43/182.08 [8811]~P82(x88111)+~P1(f318(f28(x88111),x88112))+E(f318(f318(f23(f905(x88111,a894)),x88112),f318(f318(f300(x88111),x88113),f179(f905(x88111,a894)))),f179(f905(x88111,a894)))+E(f318(f318(f225(x88111),x88113),f15(x88111,f318(f318(f23(f905(x88111,a894)),x88112),f318(f318(f300(x88111),x88113),f179(f905(x88111,a894)))))),f15(x88111,f318(f318(f300(x88111),x88113),x88112)))
% 182.43/182.08 [8883]~P82(x88831)+~P1(f318(f28(x88831),x88832))+E(f318(f318(f23(f905(x88831,a894)),x88832),f318(f318(f300(x88831),x88833),f179(f905(x88831,a894)))),f179(f905(x88831,a894)))+E(f318(f318(f224(x88831),x88833),f11(x88831,f224(x88831),f318(f318(f23(f905(x88831,a894)),x88832),f318(f318(f300(x88831),x88833),f179(f905(x88831,a894)))))),f11(x88831,f224(x88831),f318(f318(f300(x88831),x88833),x88832)))
% 182.43/182.08 [8884]~P82(x88841)+~P1(f318(f28(x88841),x88842))+E(f318(f318(f23(f905(x88841,a894)),x88842),f318(f318(f300(x88841),x88843),f179(f905(x88841,a894)))),f179(f905(x88841,a894)))+E(f318(f318(f225(x88841),x88843),f12(x88841,f225(x88841),f318(f318(f23(f905(x88841,a894)),x88842),f318(f318(f300(x88841),x88843),f179(f905(x88841,a894)))))),f12(x88841,f225(x88841),f318(f318(f300(x88841),x88843),x88842)))
% 182.43/182.08 [9472]E(x94721,x94722)+~E(f318(f133(f899(x94723),f899(x94723),f125(x94723),f104(x94723)),x94721),f318(f133(f899(x94723),f899(x94723),f125(x94723),f104(x94723)),x94722))+~E(f318(f180(f899(f899(x94723))),x94721),f318(f180(f899(f899(x94723))),x94722))+P1(f318(f318(f320(f904(f899(x94723),f899(x94723))),f683(x94721,x94722,x94723)),f318(f163(f904(f899(x94723),f899(x94723))),f318(f318(f172(f899(x94723),f899(x94723)),x94722),x94721))))
% 182.43/182.08 [9473]E(x94731,x94732)+~E(f318(f133(f899(x94733),f899(x94733),f125(x94733),f104(x94733)),x94731),f318(f133(f899(x94733),f899(x94733),f125(x94733),f104(x94733)),x94732))+~E(f318(f180(f899(f899(x94733))),x94731),f318(f180(f899(f899(x94733))),x94732))+P1(f318(f318(f320(f904(f899(x94733),f899(x94733))),f684(x94732,x94731,x94733)),f318(f163(f904(f899(x94733),f899(x94733))),f318(f318(f172(f899(x94733),f899(x94733)),x94731),x94732))))
% 182.43/182.08 [10334]~P100(x103342)+E(x103341,f179(f905(x103342,a894)))+~P1(f318(f28(x103342),x103341))+E(f13(x103342,f318(f253(x103342),f318(f318(f8(f905(x103342,a894),a894,x103342),f82(x103342)),f318(f318(f7(x103342,f905(x103342,a894),f905(x103342,a894)),f318(f318(f8(f905(x103342,f905(a894,a894)),f905(f905(x103342,a894),f905(x103342,a894)),x103342),f18(x103342,a894,a894)),f318(f318(f8(f905(x103342,a894),f905(x103342,f905(a894,a894)),x103342),f318(f8(a894,f905(a894,a894),x103342),a316)),f318(f318(f7(x103342,f905(x103342,x103342),f905(x103342,a894)),f318(f318(f8(f905(x103342,a894),f905(f905(x103342,x103342),f905(x103342,a894)),x103342),f8(x103342,a894,x103342)),a315)),f318(f92(x103342),x103343))))),f318(f318(f7(x103342,f905(x103342,a894),a894),f320(x103342)),x103341))))),f318(f318(f92(x103342),x103343),f13(x103342,x103341)))
% 182.43/182.08 [10335]~P77(x103352)+E(x103351,f179(f905(x103352,a894)))+~P1(f318(f28(x103352),x103351))+E(f14(x103352,f318(f253(x103352),f318(f318(f8(f905(x103352,a894),a894,x103352),f82(x103352)),f318(f318(f7(x103352,f905(x103352,a894),f905(x103352,a894)),f318(f318(f8(f905(x103352,f905(a894,a894)),f905(f905(x103352,a894),f905(x103352,a894)),x103352),f18(x103352,a894,a894)),f318(f318(f8(f905(x103352,a894),f905(x103352,f905(a894,a894)),x103352),f318(f8(a894,f905(a894,a894),x103352),a316)),f318(f318(f7(x103352,f905(x103352,x103352),f905(x103352,a894)),f318(f318(f8(f905(x103352,a894),f905(f905(x103352,x103352),f905(x103352,a894)),x103352),f8(x103352,a894,x103352)),a315)),f318(f75(x103352),x103353))))),f318(f318(f7(x103352,f905(x103352,a894),a894),f320(x103352)),x103351))))),f318(f318(f75(x103352),x103353),f14(x103352,x103351)))
% 182.43/182.08 [10336]~P77(x103362)+E(x103361,f179(f905(x103362,a894)))+~P1(f318(f28(x103362),x103361))+E(f15(x103362,f318(f253(x103362),f318(f318(f8(f905(x103362,a894),a894,x103362),f82(x103362)),f318(f318(f7(x103362,f905(x103362,a894),f905(x103362,a894)),f318(f318(f8(f905(x103362,f905(a894,a894)),f905(f905(x103362,a894),f905(x103362,a894)),x103362),f18(x103362,a894,a894)),f318(f318(f8(f905(x103362,a894),f905(x103362,f905(a894,a894)),x103362),f318(f8(a894,f905(a894,a894),x103362),a316)),f318(f318(f7(x103362,f905(x103362,x103362),f905(x103362,a894)),f318(f318(f8(f905(x103362,a894),f905(f905(x103362,x103362),f905(x103362,a894)),x103362),f8(x103362,a894,x103362)),a315)),f318(f75(x103362),x103363))))),f318(f318(f7(x103362,f905(x103362,a894),a894),f320(x103362)),x103361))))),f318(f318(f75(x103362),x103363),f15(x103362,x103361)))
% 182.43/182.08 [10337]~P100(x103372)+E(x103371,f179(f905(x103372,a894)))+~P1(f318(f28(x103372),x103371))+E(f10(x103372,f318(f253(x103372),f318(f318(f8(f905(x103372,a894),a894,x103372),f82(x103372)),f318(f318(f7(x103372,f905(x103372,a894),f905(x103372,a894)),f318(f318(f8(f905(x103372,f905(a894,a894)),f905(f905(x103372,a894),f905(x103372,a894)),x103372),f18(x103372,a894,a894)),f318(f318(f8(f905(x103372,a894),f905(x103372,f905(a894,a894)),x103372),f318(f8(a894,f905(a894,a894),x103372),a316)),f318(f318(f7(x103372,f905(x103372,x103372),f905(x103372,a894)),f318(f318(f8(f905(x103372,a894),f905(f905(x103372,x103372),f905(x103372,a894)),x103372),f8(x103372,a894,x103372)),a315)),f318(f101(x103372),x103373))))),f318(f318(f7(x103372,f905(x103372,a894),a894),f320(x103372)),x103371))))),f318(f318(f101(x103372),x103373),f10(x103372,x103371)))
% 182.43/182.08 [10338]~P82(x103382)+E(x103381,f179(f905(x103382,a894)))+~P1(f318(f28(x103382),x103381))+E(f12(x103382,f225(x103382),f318(f253(x103382),f318(f318(f8(f905(x103382,a894),a894,x103382),f82(x103382)),f318(f318(f7(x103382,f905(x103382,a894),f905(x103382,a894)),f318(f318(f8(f905(x103382,f905(a894,a894)),f905(f905(x103382,a894),f905(x103382,a894)),x103382),f18(x103382,a894,a894)),f318(f318(f8(f905(x103382,a894),f905(x103382,f905(a894,a894)),x103382),f318(f8(a894,f905(a894,a894),x103382),a316)),f318(f318(f7(x103382,f905(x103382,x103382),f905(x103382,a894)),f318(f318(f8(f905(x103382,a894),f905(f905(x103382,x103382),f905(x103382,a894)),x103382),f8(x103382,a894,x103382)),a315)),f318(f224(x103382),x103383))))),f318(f318(f7(x103382,f905(x103382,a894),a894),f320(x103382)),x103381))))),f318(f318(f224(x103382),x103383),f12(x103382,f225(x103382),x103381)))
% 182.43/182.08 [10339]~P82(x103392)+E(x103391,f179(f905(x103392,a894)))+~P1(f318(f28(x103392),x103391))+E(f11(x103392,f224(x103392),f318(f253(x103392),f318(f318(f8(f905(x103392,a894),a894,x103392),f82(x103392)),f318(f318(f7(x103392,f905(x103392,a894),f905(x103392,a894)),f318(f318(f8(f905(x103392,f905(a894,a894)),f905(f905(x103392,a894),f905(x103392,a894)),x103392),f18(x103392,a894,a894)),f318(f318(f8(f905(x103392,a894),f905(x103392,f905(a894,a894)),x103392),f318(f8(a894,f905(a894,a894),x103392),a316)),f318(f318(f7(x103392,f905(x103392,x103392),f905(x103392,a894)),f318(f318(f8(f905(x103392,a894),f905(f905(x103392,x103392),f905(x103392,a894)),x103392),f8(x103392,a894,x103392)),a315)),f318(f225(x103392),x103393))))),f318(f318(f7(x103392,f905(x103392,a894),a894),f320(x103392)),x103391))))),f318(f318(f225(x103392),x103393),f11(x103392,f224(x103392),x103391)))
% 182.43/182.08 [10054]~P110(x100541)+~E(x100543,f2(x100541))+~E(x100542,f2(x100541))+E(f318(f318(f75(x100541),f318(f318(f235(x100541),x100542),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x100541),x100543),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f2(x100541))
% 182.43/182.08 [10206]~P109(x102061)+~P1(f318(f318(f226(x102061),f2(x102061)),x102063))+P1(f318(f318(f226(x102061),x102062),x102063))+~P1(f318(f318(f226(x102061),f318(f318(f235(x102061),x102062),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102061),x102063),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))))
% 182.43/182.08 [10263]~P110(x102632)+~E(x102631,f2(x102632))+~E(x102633,f2(x102632))+~P1(f318(f318(f227(x102632),f2(x102632)),f318(f318(f75(x102632),f318(f318(f235(x102632),x102633),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88))))),f318(f318(f235(x102632),x102631),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))))
% 182.43/182.08 [6800]~P7(x68003,x68002)+~P1(f318(x68001,x68004))+~P1(f318(f318(f320(x68003),x68004),f261(x68003,x68002)))+P1(f318(x68001,f804(x68001,x68002,x68003)))
% 182.43/182.08 [8719]P25(x87191,x87192,f808(x87193,x87192,x87194,x87191),x87194,x87193)+~E(f318(f29(x87191),x87194),f318(f29(x87192),x87193))+~P1(f318(f28(x87192),x87193))+~P1(f318(f28(x87191),x87194))
% 182.43/182.08 [9435]E(x94351,x94352)+~E(f636(x94351,x94352,x94354,x94353),f637(x94351,x94352,x94354,x94353))+P1(f318(f318(f320(f904(f899(x94353),f899(x94353))),f318(f318(f243(f899(x94353),f899(x94353)),x94352),x94351)),f138(x94353,x94354)))+P1(f318(f318(f320(f904(f899(x94353),f899(x94353))),f318(f318(f243(f899(x94353),f899(x94353)),x94351),x94352)),f138(x94353,x94354)))
% 182.43/182.08 [4914]~P60(x49142)+~E(x49144,f2(x49142))+~E(x49141,f2(x49142))+E(x49141,f318(f318(f282(x49142),x49143),x49144))
% 182.43/182.08 [4915]~P60(x49151)+~E(x49153,f2(x49151))+~E(x49154,f2(x49151))+E(f318(f318(f282(x49151),x49152),x49153),x49154)
% 182.43/182.08 [5035]~P60(x50352)+E(x50351,f2(x50352))+~E(x50353,f2(x50352))+~E(x50351,f318(f318(f282(x50352),x50354),x50353))
% 182.43/182.08 [5036]~P60(x50362)+E(x50361,f2(x50362))+~E(x50363,f2(x50362))+~E(f318(f318(f282(x50362),x50364),x50363),x50361)
% 182.43/182.08 [5219]~P121(x52192)+E(x52191,f2(x52192))+~E(f318(f318(f282(x52192),x52193),x52191),x52194)+E(x52193,f318(f318(f76(x52192),x52194),x52191))
% 182.43/182.08 [5221]~P121(x52212)+E(x52211,f2(x52212))+~E(f318(f318(f76(x52212),x52213),x52211),x52214)+E(x52213,f318(f318(f282(x52212),x52214),x52211))
% 182.43/182.08 [5222]~P60(x52222)+E(x52221,f2(x52222))+~E(f318(f318(f282(x52222),x52223),x52221),x52224)+E(x52223,f318(f318(f76(x52222),x52224),x52221))
% 182.43/182.08 [5223]~P60(x52232)+E(x52231,f2(x52232))+~E(f318(f318(f76(x52232),x52233),x52231),x52234)+E(x52233,f318(f318(f282(x52232),x52234),x52231))
% 182.43/182.08 [5224]~P121(x52242)+E(x52241,f2(x52242))+~E(x52243,f318(f318(f282(x52242),x52244),x52241))+E(f318(f318(f76(x52242),x52243),x52241),x52244)
% 182.43/182.08 [5226]~P121(x52262)+E(x52261,f2(x52262))+~E(x52263,f318(f318(f76(x52262),x52264),x52261))+E(f318(f318(f282(x52262),x52263),x52261),x52264)
% 182.43/182.08 [5227]~P60(x52272)+E(x52271,f2(x52272))+~E(x52273,f318(f318(f282(x52272),x52274),x52271))+E(f318(f318(f76(x52272),x52273),x52271),x52274)
% 182.43/182.08 [5228]~P60(x52282)+E(x52281,f2(x52282))+~E(x52283,f318(f318(f76(x52282),x52284),x52281))+E(f318(f318(f282(x52282),x52283),x52281),x52284)
% 182.43/182.08 [5252]~P60(x52522)+~E(x52521,f2(x52522))+~E(f318(f318(f76(x52522),x52521),x52524),x52523)+E(x52521,f318(f318(f282(x52522),x52523),x52524))
% 182.43/182.08 [5253]~P60(x52531)+~E(x52534,f2(x52531))+~E(x52532,f318(f318(f76(x52531),x52534),x52533))+E(f318(f318(f282(x52531),x52532),x52533),x52534)
% 182.43/182.08 [5327]~E(x53273,x53274)+~E(x53272,x53273)+~P108(x53271)+E(f294(x53271,x53272,x53273),f318(f318(f300(x53271),x53274),f179(f905(x53271,a894))))
% 182.43/182.08 [5531]~E(f105(x55312,x55311),x55313)+~E(f135(x55312,x55311),x55314)+E(x55311,f104(x55312))+E(f318(f318(f125(x55312),x55313),f318(f318(f142(x55312),x55314),f104(x55312))),x55311)
% 182.43/182.08 [6174]~P109(x61743)+E(x61741,x61742)+~E(f318(f318(f235(x61743),x61744),x61741),f318(f318(f235(x61743),x61744),x61742))+~P1(f318(f318(f227(x61743),f73(x61743)),x61744))
% 182.43/182.08 [6175]E(x61751,x61752)+~E(f318(f318(f300(x61753),x61754),x61751),f318(f318(f300(x61753),x61754),x61752))+P1(f318(f318(f320(x61753),x61754),x61752))+P1(f318(f318(f320(x61753),x61754),x61751))
% 182.43/182.08 [6218]E(f318(x62181,x62182),f73(a898))+~E(f318(f318(f9(x62183,a898),x62181),x62184),f73(a898))+~P1(f318(f28(x62183),x62184))+~P1(f318(f318(f320(x62183),x62182),x62184))
% 182.43/182.08 [6219]E(f318(x62191,x62192),f2(a898))+~E(f318(f318(f6(x62193,a898),x62191),x62194),f2(a898))+~P1(f318(f28(x62193),x62194))+~P1(f318(f318(f320(x62193),x62192),x62194))
% 182.43/182.08 [6446]~P108(x64461)+~P1(f318(f318(f226(x64461),x64464),x64463))+P1(f318(f318(f226(x64461),x64462),x64463))+~P1(f318(f318(f226(x64461),x64462),x64464))
% 182.43/182.08 [6447]~P64(x64471)+~P1(f318(f318(f226(x64471),x64472),x64474))+P1(f318(f318(f226(x64471),x64472),x64473))+~P1(f318(f318(f226(x64471),x64474),x64473))
% 182.43/182.08 [6448]~P108(x64481)+~P1(f318(f318(f227(x64481),x64484),x64483))+P1(f318(f318(f227(x64481),x64482),x64483))+~P1(f318(f318(f226(x64481),x64482),x64484))
% 182.43/182.08 [6449]~P108(x64491)+~P1(f318(f318(f227(x64491),x64492),x64494))+P1(f318(f318(f227(x64491),x64492),x64493))+~P1(f318(f318(f226(x64491),x64494),x64493))
% 182.43/182.08 [6450]~P108(x64501)+~P1(f318(f318(f227(x64501),x64504),x64503))+P1(f318(f318(f227(x64501),x64502),x64503))+~P1(f318(f318(f227(x64501),x64502),x64504))
% 182.43/182.08 [6451]~P64(x64511)+~P1(f318(f318(f227(x64511),x64512),x64514))+P1(f318(f318(f227(x64511),x64512),x64513))+~P1(f318(f318(f226(x64511),x64514),x64513))
% 182.43/182.08 [6452]~P64(x64521)+~P1(f318(f318(f227(x64521),x64524),x64523))+P1(f318(f318(f227(x64521),x64522),x64523))+~P1(f318(f318(f226(x64521),x64522),x64524))
% 182.43/182.08 [6453]~P64(x64531)+~P1(f318(f318(f227(x64531),x64532),x64534))+P1(f318(f318(f227(x64531),x64532),x64533))+~P1(f318(f318(f227(x64531),x64534),x64533))
% 182.43/182.08 [6454]~P111(x64541)+~P1(f318(f318(f278(x64541),x64542),x64544))+P1(f318(f318(f278(x64541),x64542),x64543))+~P1(f318(f318(f278(x64541),x64544),x64543))
% 182.43/182.08 [6536]~P34(x65364,x65363,x65362)+E(x65361,f737(x65362,x65363,x65364))+~P1(f318(x65363,x65361))+~P1(f318(f318(f320(x65364),x65361),f318(f163(x65364),x65362)))
% 182.43/182.08 [6537]~P34(x65374,x65373,x65372)+E(x65371,f746(x65372,x65373,x65374))+~P1(f318(x65373,x65371))+~P1(f318(f318(f320(x65374),x65371),f318(f163(x65374),x65372)))
% 182.43/182.08 [6691]~P5(x66911)+~P1(f318(f318(f226(x66911),x66912),f32(x66911,x66914)))+P1(f318(f318(f226(x66911),x66912),x66913))+~P1(f318(f318(f320(x66911),x66913),x66914))
% 182.43/182.08 [6842]~P82(x68421)+~P13(x68421,f318(f318(f142(x68421),x68422),x68424))+~P1(f318(f318(f320(x68421),x68423),f318(f163(x68421),x68424)))+P1(f318(f318(f226(x68421),x68422),x68423))
% 182.43/182.08 [6932]~P5(x69321)+~P1(f318(f318(f226(x69321),f31(x69321,x69324)),x69323))+P1(f318(f318(f226(x69321),x69322),x69323))+~P1(f318(f318(f320(x69321),x69322),x69324))
% 182.43/182.08 [7077]~P3(x70771)+P1(f318(f318(f278(x70771),x70772),f40(x70771,x70773,x70774)))+~P1(f318(f318(f278(x70771),x70772),x70774))+~P1(f318(f318(f278(x70771),x70772),x70773))
% 182.43/182.08 [7341]~P82(x73411)+E(f318(f318(f101(f905(x73411,a894)),f318(f293(x73411,x73412),x73413)),f318(f293(x73411,x73413),x73414)),f318(f293(x73411,x73412),x73414))+~P1(f318(f318(f226(x73411),x73413),x73414))+~P1(f318(f318(f226(x73411),x73412),x73413))
% 182.43/182.08 [7385]P34(x73851,x73852,x73853)+~E(f748(x73853,x73852,x73851,x73854),x73854)+~P1(f318(x73852,x73854))+~P1(f318(f318(f320(x73851),x73854),f318(f163(x73851),x73853)))
% 182.43/182.08 [7386]P34(x73861,x73862,x73863)+~E(f756(x73863,x73862,x73861,x73864),x73864)+~P1(f318(x73862,x73864))+~P1(f318(f318(f320(x73861),x73864),f318(f163(x73861),x73863)))
% 182.43/182.08 [7429]~P3(x74291)+~P1(f318(f318(f278(x74291),x74292),f40(x74291,x74293,x74294)))+P1(f318(f318(f278(x74291),x74292),x74293))+~P1(f318(f318(f278(x74291),x74292),x74294))
% 182.43/182.08 [7463]~P82(x74631)+E(f318(f318(f101(f905(x74631,a894)),f318(f293(x74631,x74632),x74633)),f294(x74631,x74633,x74634)),f294(x74631,x74632,x74634))+~P1(f318(f318(f226(x74631),x74633),x74634))+~P1(f318(f318(f226(x74631),x74632),x74633))
% 182.43/182.08 [7525]~P82(x75251)+E(f318(f318(f101(f905(x75251,a894)),f297(x75251,x75252,x75253)),f318(f293(x75251,x75253),x75254)),f297(x75251,x75252,x75254))+~P1(f318(f318(f226(x75251),x75253),x75254))+~P1(f318(f318(f227(x75251),x75252),x75253))
% 182.43/182.08 [7542]~P82(x75421)+E(f318(f318(f101(f905(x75421,a894)),f294(x75421,x75422,x75423)),f297(x75421,x75423,x75424)),f318(f293(x75421,x75422),x75424))+~P1(f318(f318(f226(x75421),x75422),x75423))+~P1(f318(f318(f227(x75421),x75423),x75424))
% 182.43/182.08 [7572]~P82(x75721)+E(f318(f318(f101(f905(x75721,a894)),f294(x75721,x75722,x75723)),f296(x75721,x75723,x75724)),f294(x75721,x75722,x75724))+~P1(f318(f318(f226(x75721),x75723),x75724))+~P1(f318(f318(f226(x75721),x75722),x75723))
% 182.43/182.08 [7573]~P82(x75731)+E(f318(f318(f101(f905(x75731,a894)),f297(x75731,x75732,x75733)),f294(x75731,x75733,x75734)),f296(x75731,x75732,x75734))+~P1(f318(f318(f226(x75731),x75733),x75734))+~P1(f318(f318(f227(x75731),x75732),x75733))
% 182.43/182.08 [7574]~P82(x75741)+E(f318(f318(f101(f905(x75741,a894)),f296(x75741,x75742,x75743)),f297(x75741,x75743,x75744)),f297(x75741,x75742,x75744))+~P1(f318(f318(f226(x75741),x75742),x75743))+~P1(f318(f318(f227(x75741),x75743),x75744))
% 182.43/182.08 [7575]~P82(x75751)+E(f318(f318(f101(f905(x75751,a894)),f296(x75751,x75752,x75753)),f296(x75751,x75753,x75754)),f296(x75751,x75752,x75754))+~P1(f318(f318(f226(x75751),x75753),x75754))+~P1(f318(f318(f226(x75751),x75752),x75753))
% 182.43/182.08 [8364]P24(x83641,x83642,f486(x83643,x83642,x83644,x83641),x83644)+~P1(f318(f28(x83642),x83643))+~P1(f318(f28(x83641),x83644))+~P1(f318(f318(f226(a898),f318(f29(x83641),x83644)),f318(f29(x83642),x83643)))
% 182.43/182.08 [8385]P34(x83851,x83852,x83853)+~P1(f318(x83852,x83854))+P1(f318(x83852,f748(x83853,x83852,x83851,x83854)))+~P1(f318(f318(f320(x83851),x83854),f318(f163(x83851),x83853)))
% 182.43/182.08 [8386]P34(x83861,x83862,x83863)+~P1(f318(x83862,x83864))+P1(f318(x83862,f756(x83863,x83862,x83861,x83864)))+~P1(f318(f318(f320(x83861),x83864),f318(f163(x83861),x83863)))
% 182.43/182.08 [8441]~P75(x84411)+~E(f318(x84413,f855(x84413,x84414,x84412,x84411)),f73(x84411))+E(f318(f318(f318(f59(x84411,x84412,f76(x84411)),x84413),f73(x84411)),x84414),f73(x84411))+~P1(f318(f28(x84412),x84414))
% 182.43/182.08 [8708]~P109(x87081)+~P1(f318(f318(f226(x87081),f2(x87081)),x87083))+P1(f318(f318(f226(x87081),x87082),x87083))+~P1(f318(f318(f226(x87081),f318(f318(f235(x87081),x87082),f318(a103,x87084))),f318(f318(f235(x87081),x87083),f318(a103,x87084))))
% 182.43/182.08 [9028]P34(x90281,x90282,x90283)+~P1(f318(x90282,x90284))+~P1(f318(f318(f320(x90281),x90284),f318(f163(x90281),x90283)))+P1(f318(f318(f320(x90281),f748(x90283,x90282,x90281,x90284)),f318(f163(x90281),x90283)))
% 182.43/182.08 [9029]P34(x90291,x90292,x90293)+~P1(f318(x90292,x90294))+~P1(f318(f318(f320(x90291),x90294),f318(f163(x90291),x90293)))+P1(f318(f318(f320(x90291),f756(x90293,x90292,x90291,x90294)),f318(f163(x90291),x90293)))
% 182.43/182.08 [9107]~P75(x91071)+E(f318(f318(f318(f59(x91071,x91072,f76(x91071)),x91073),f73(x91071)),x91074),f73(x91071))+~P1(f318(f28(x91072),x91074))+P1(f318(f318(f320(x91072),f855(x91073,x91074,x91072,x91071)),x91074))
% 182.43/182.08 [9609]~P1(f318(f318(f278(a898),x96091),x96093))+~P1(f318(f318(f278(a898),x96091),x96092))+~P1(f318(f318(f278(a898),x96094),x96093))+~P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x96091,x96093)),f281(a898,f278(a898),x96092,x96094)))
% 182.43/182.08 [9614]~P1(f318(f318(f226(a1),x96144),f2(a1)))+P1(f318(f318(f226(a1),f318(f318(f75(a1),f318(f318(f76(a1),x96141),f40(a1,x96142,x96143))),x96144)),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x96143))+~P1(f318(f318(f227(a1),x96141),x96144))
% 182.43/182.08 [10047]~P1(f318(f28(x100471),x100472))+~P1(f318(f318(f320(x100471),x100474),x100472))+~P1(f318(f318(f320(x100471),x100473),x100472))+P1(f318(f318(f227(a898),f318(f29(x100471),f318(f318(f23(f905(x100471,a894)),f318(f318(f23(f905(x100471,a894)),x100472),f318(f318(f300(x100471),x100473),f179(f905(x100471,a894))))),f318(f318(f300(x100471),x100474),f179(f905(x100471,a894)))))),f318(f29(x100471),x100472)))
% 182.43/182.08 [6990]~P140(x69903)+~P120(x69903)+P1(f318(x69901,f842(x69902,x69901,x69903)))+~P1(f318(x69901,f318(f318(f76(x69903),x69902),x69904)))
% 182.43/182.08 [7049]~P102(x70491)+~P1(f318(f318(f226(x70491),x70492),x70494))+~P1(f318(f318(f226(x70491),x70492),x70493))+P1(f318(f318(f226(x70491),x70492),f318(f318(f92(x70491),x70493),x70494)))
% 182.43/182.08 [7052]~P82(x70521)+~P1(f318(f318(f226(x70521),x70522),x70524))+~P1(f318(f318(f226(x70521),x70522),x70523))+P1(f318(f318(f226(x70521),x70522),f318(f318(f224(x70521),x70523),x70524)))
% 182.43/182.08 [7053]~P82(x70531)+~P1(f318(f318(f227(x70531),x70532),x70534))+~P1(f318(f318(f227(x70531),x70532),x70533))+P1(f318(f318(f227(x70531),x70532),f318(f318(f224(x70531),x70533),x70534)))
% 182.43/182.08 [7054]~P116(x70541)+~P1(f318(f318(f278(x70541),x70542),x70544))+~P1(f318(f318(f278(x70541),x70542),x70543))+P1(f318(f318(f278(x70541),x70542),f318(f318(f23(x70541),x70543),x70544)))
% 182.43/182.08 [7055]~P111(x70551)+~P1(f318(f318(f278(x70551),x70552),x70554))+~P1(f318(f318(f278(x70551),x70552),x70553))+P1(f318(f318(f278(x70551),x70552),f318(f318(f75(x70551),x70553),x70554)))
% 182.43/182.08 [7075]~P61(x70752)+E(x70751,f2(x70752))+E(f318(f318(f282(x70752),f318(f318(f235(x70752),x70751),x70753)),f318(f318(f235(x70752),x70751),x70754)),f318(f318(f235(x70752),x70751),f318(f318(f23(a898),x70753),x70754)))+~P1(f318(f318(f226(a898),x70754),x70753))
% 182.43/182.08 [7121]~P82(x71211)+~P13(x71211,f318(f318(f142(x71211),x71213),x71214))+P13(x71211,f318(f318(f142(x71211),x71212),f318(f318(f142(x71211),x71213),x71214)))+~P1(f318(f318(f226(x71211),x71212),x71213))
% 182.43/182.08 [7157]~P90(x71571)+~P1(f318(f318(f226(x71571),f2(x71571)),x71574))+~P1(f318(f318(f226(x71571),x71572),x71573))+P1(f318(f318(f226(x71571),x71572),f318(f318(f75(x71571),x71573),x71574)))
% 182.43/182.08 [7158]~P90(x71581)+~P1(f318(f318(f226(x71581),f2(x71581)),x71583))+~P1(f318(f318(f226(x71581),x71582),x71584))+P1(f318(f318(f226(x71581),x71582),f318(f318(f75(x71581),x71583),x71584)))
% 182.43/182.08 [7159]~P109(x71591)+~P1(f318(f318(f227(x71591),f2(x71591)),x71593))+~P1(f318(f318(f227(x71591),x71592),x71594))+P1(f318(f318(f227(x71591),x71592),f318(f318(f75(x71591),x71593),x71594)))
% 182.43/182.08 [7160]~P90(x71601)+~P1(f318(f318(f226(x71601),x71602),x71604))+~P1(f318(f318(f227(x71601),f2(x71601)),x71603))+P1(f318(f318(f227(x71601),x71602),f318(f318(f75(x71601),x71603),x71604)))
% 182.43/182.08 [7161]~P90(x71611)+~P1(f318(f318(f226(x71611),f2(x71611)),x71613))+~P1(f318(f318(f227(x71611),x71612),x71614))+P1(f318(f318(f227(x71611),x71612),f318(f318(f75(x71611),x71613),x71614)))
% 182.43/182.08 [7202]~P82(x72021)+P1(f318(f318(f226(x72021),x72022),x72023))+P1(f318(f318(f226(x72021),x72022),x72024))+~P1(f318(f318(f226(x72021),x72022),f318(f318(f225(x72021),x72024),x72023)))
% 182.43/182.08 [7203]~P82(x72031)+P1(f318(f318(f227(x72031),x72032),x72033))+P1(f318(f318(f227(x72031),x72032),x72034))+~P1(f318(f318(f227(x72031),x72032),f318(f318(f225(x72031),x72034),x72033)))
% 182.43/182.08 [7497]~P108(x74972)+~P59(x74971)+~P1(f318(f318(f227(f905(x74971,x74972)),x74973),x74974))+P1(f318(f318(f226(f905(x74971,x74972)),x74973),x74974))
% 182.43/182.08 [7862]~P63(x78621)+~P1(f318(f318(f227(x78621),x78624),f2(x78621)))+~P1(f318(f318(f226(x78621),x78623),f318(f318(f282(x78621),x78622),x78624)))+P1(f318(f318(f226(x78621),x78622),f318(f318(f76(x78621),x78623),x78624)))
% 182.43/182.08 [7863]~P63(x78631)+~P1(f318(f318(f227(x78631),x78634),f2(x78631)))+~P1(f318(f318(f226(x78631),x78633),f318(f318(f76(x78631),x78632),x78634)))+P1(f318(f318(f226(x78631),x78632),f318(f318(f282(x78631),x78633),x78634)))
% 182.43/182.08 [7864]~P63(x78641)+~P1(f318(f318(f227(x78641),x78644),f2(x78641)))+~P1(f318(f318(f227(x78641),x78643),f318(f318(f282(x78641),x78642),x78644)))+P1(f318(f318(f227(x78641),x78642),f318(f318(f76(x78641),x78643),x78644)))
% 182.43/182.08 [7865]~P63(x78651)+~P1(f318(f318(f227(x78651),x78654),f2(x78651)))+~P1(f318(f318(f227(x78651),x78653),f318(f318(f76(x78651),x78652),x78654)))+P1(f318(f318(f227(x78651),x78652),f318(f318(f282(x78651),x78653),x78654)))
% 182.43/182.08 [7972]~P136(x79721)+~P1(f318(f318(f226(x79721),x79722),f2(x79721)))+~P1(f318(f318(f226(x79721),x79724),x79723))+P1(f318(f318(f226(x79721),f318(f318(f76(x79721),x79722),x79723)),f318(f318(f76(x79721),x79722),x79724)))
% 182.43/182.08 [7973]~P124(x79731)+~P1(f318(f318(f227(x79731),x79732),f2(x79731)))+~P1(f318(f318(f226(x79731),x79734),x79733))+P1(f318(f318(f226(x79731),f318(f318(f76(x79731),x79732),x79733)),f318(f318(f76(x79731),x79732),x79734)))
% 182.43/182.08 [7974]~P136(x79741)+~P1(f318(f318(f226(x79741),x79743),f2(x79741)))+~P1(f318(f318(f226(x79741),x79744),x79742))+P1(f318(f318(f226(x79741),f318(f318(f76(x79741),x79742),x79743)),f318(f318(f76(x79741),x79744),x79743)))
% 182.43/182.08 [7975]~P62(x79751)+~P1(f318(f318(f226(x79751),x79753),f2(x79751)))+~P1(f318(f318(f226(x79751),x79754),x79752))+P1(f318(f318(f226(x79751),f318(f318(f282(x79751),x79752),x79753)),f318(f318(f282(x79751),x79754),x79753)))
% 182.43/182.08 [7979]~P124(x79791)+~P1(f318(f318(f227(x79791),x79793),f2(x79791)))+~P1(f318(f318(f227(x79791),x79794),x79792))+P1(f318(f318(f227(x79791),f318(f318(f76(x79791),x79792),x79793)),f318(f318(f76(x79791),x79794),x79793)))
% 182.43/182.08 [7980]~P124(x79801)+~P1(f318(f318(f227(x79801),x79802),f2(x79801)))+~P1(f318(f318(f227(x79801),x79804),x79803))+P1(f318(f318(f227(x79801),f318(f318(f76(x79801),x79802),x79803)),f318(f318(f76(x79801),x79802),x79804)))
% 182.43/182.08 [7981]~P63(x79811)+~P1(f318(f318(f227(x79811),x79813),f2(x79811)))+~P1(f318(f318(f227(x79811),x79814),x79812))+P1(f318(f318(f227(x79811),f318(f318(f282(x79811),x79812),x79813)),f318(f318(f282(x79811),x79814),x79813)))
% 182.43/182.08 [7982]~P109(x79821)+~P1(f318(f318(f227(x79821),f73(x79821)),x79822))+~P1(f318(f318(f226(a898),x79823),x79824))+P1(f318(f318(f226(x79821),f318(f318(f235(x79821),x79822),x79823)),f318(f318(f235(x79821),x79822),x79824)))
% 182.43/182.08 [7983]~P109(x79831)+~P1(f318(f318(f226(x79831),f73(x79831)),x79832))+~P1(f318(f318(f226(a898),x79833),x79834))+P1(f318(f318(f226(x79831),f318(f318(f235(x79831),x79832),x79833)),f318(f318(f235(x79831),x79832),x79834)))
% 182.43/182.08 [7985]~P109(x79851)+~P1(f318(f318(f227(x79851),f73(x79851)),x79852))+~P1(f318(f318(f227(a898),x79853),x79854))+P1(f318(f318(f227(x79851),f318(f318(f235(x79851),x79852),x79853)),f318(f318(f235(x79851),x79852),x79854)))
% 182.43/182.08 [8012]P1(f318(f318(f227(a898),f2(a898)),f318(x80121,x80122)))+~P1(f318(f28(x80123),x80124))+~P1(f318(f318(f320(x80123),x80122),x80124))+~P1(f318(f318(f227(a898),f2(a898)),f318(f318(f9(x80123,a898),x80121),x80124)))
% 182.43/182.08 [8021]~P138(x80211)+~P1(f318(f318(f226(x80211),x80213),x80214))+~P1(f318(f318(f226(x80211),f2(x80211)),x80212))+P1(f318(f318(f226(x80211),f318(f318(f76(x80211),x80212),x80213)),f318(f318(f76(x80211),x80212),x80214)))
% 182.43/182.08 [8022]~P137(x80221)+~P1(f318(f318(f226(x80221),x80223),x80224))+~P1(f318(f318(f226(x80221),f2(x80221)),x80222))+P1(f318(f318(f226(x80221),f318(f318(f76(x80221),x80222),x80223)),f318(f318(f76(x80221),x80222),x80224)))
% 182.43/182.08 [8023]~P124(x80231)+~P1(f318(f318(f227(x80231),f2(x80231)),x80232))+~P1(f318(f318(f226(x80231),x80233),x80234))+P1(f318(f318(f226(x80231),f318(f318(f76(x80231),x80232),x80233)),f318(f318(f76(x80231),x80232),x80234)))
% 182.43/182.08 [8024]~P138(x80241)+~P1(f318(f318(f226(x80241),x80242),x80244))+~P1(f318(f318(f226(x80241),f2(x80241)),x80243))+P1(f318(f318(f226(x80241),f318(f318(f76(x80241),x80242),x80243)),f318(f318(f76(x80241),x80244),x80243)))
% 182.43/182.08 [8025]~P109(x80251)+~P1(f318(f318(f226(x80251),x80252),x80254))+~P1(f318(f318(f226(x80251),f2(x80251)),x80252))+P1(f318(f318(f226(x80251),f318(f318(f235(x80251),x80252),x80253)),f318(f318(f235(x80251),x80254),x80253)))
% 182.43/182.08 [8026]~P62(x80261)+~P1(f318(f318(f226(x80261),x80262),x80264))+~P1(f318(f318(f226(x80261),f2(x80261)),x80263))+P1(f318(f318(f226(x80261),f318(f318(f282(x80261),x80262),x80263)),f318(f318(f282(x80261),x80264),x80263)))
% 182.43/182.08 [8028]~P131(x80281)+~P1(f318(f318(f227(x80281),x80283),x80284))+~P1(f318(f318(f227(x80281),f2(x80281)),x80282))+P1(f318(f318(f227(x80281),f318(f318(f76(x80281),x80282),x80283)),f318(f318(f76(x80281),x80282),x80284)))
% 182.43/182.08 [8029]~P118(x80291)+~P1(f318(f318(f227(x80291),x80293),x80294))+~P1(f318(f318(f227(x80291),f2(x80291)),x80292))+P1(f318(f318(f227(x80291),f318(f318(f76(x80291),x80292),x80293)),f318(f318(f76(x80291),x80292),x80294)))
% 182.43/182.08 [8030]~P124(x80301)+~P1(f318(f318(f227(x80301),x80302),x80304))+~P1(f318(f318(f227(x80301),f2(x80301)),x80303))+P1(f318(f318(f227(x80301),f318(f318(f76(x80301),x80302),x80303)),f318(f318(f76(x80301),x80304),x80303)))
% 182.43/182.08 [8031]~P131(x80311)+~P1(f318(f318(f227(x80311),x80312),x80314))+~P1(f318(f318(f227(x80311),f2(x80311)),x80313))+P1(f318(f318(f227(x80311),f318(f318(f76(x80311),x80312),x80313)),f318(f318(f76(x80311),x80314),x80313)))
% 182.43/182.08 [8032]~P124(x80321)+~P1(f318(f318(f227(x80321),x80323),x80324))+~P1(f318(f318(f227(x80321),f2(x80321)),x80322))+P1(f318(f318(f227(x80321),f318(f318(f76(x80321),x80322),x80323)),f318(f318(f76(x80321),x80322),x80324)))
% 182.43/182.08 [8033]~P63(x80331)+~P1(f318(f318(f227(x80331),x80332),x80334))+~P1(f318(f318(f227(x80331),f2(x80331)),x80333))+P1(f318(f318(f227(x80331),f318(f318(f282(x80331),x80332),x80333)),f318(f318(f282(x80331),x80334),x80333)))
% 182.43/182.08 [8075]~P81(x80752)+P1(f318(f318(f227(f905(x80751,x80752)),x80754),x80753))+~P1(f318(f318(f226(f905(x80751,x80752)),x80754),x80753))+P1(f318(f318(f226(f905(x80751,x80752)),x80753),x80754))
% 182.43/182.08 [8115]P1(f318(f318(f320(x81151),x81152),x81153))+P1(f318(f318(f320(x81151),x81152),x81154))+~P1(f318(f318(f226(f905(x81151,a894)),x81154),x81153))+P1(f318(f318(f227(f905(x81151,a894)),x81154),f318(f318(f300(x81151),x81152),x81153)))
% 182.43/182.08 [8226]~P119(x82262)+E(x82261,f2(x82262))+P1(f318(f318(f278(x82262),x82263),x82264))+~P1(f318(f318(f278(x82262),f318(f318(f76(x82262),x82263),x82261)),f318(f318(f76(x82262),x82264),x82261)))
% 182.43/182.08 [8227]~P119(x82272)+E(x82271,f2(x82272))+P1(f318(f318(f278(x82272),x82273),x82274))+~P1(f318(f318(f278(x82272),f318(f318(f76(x82272),x82271),x82273)),f318(f318(f76(x82272),x82271),x82274)))
% 182.43/182.08 [8276]P1(f318(f318(f320(x82761),x82762),x82763))+P1(f318(f318(f320(x82761),x82762),x82764))+~P1(f318(f318(f227(f905(x82761,a894)),x82764),f318(f318(f300(x82761),x82762),x82763)))+P1(f318(f318(f226(f905(x82761,a894)),x82764),x82763))
% 182.43/182.08 [8341]~P124(x83411)+P1(f318(f318(f227(x83411),x83413),x83412))+P1(f318(f318(f227(x83411),x83412),x83413))+~P1(f318(f318(f227(x83411),f318(f318(f76(x83411),x83414),x83412)),f318(f318(f76(x83411),x83414),x83413)))
% 182.43/182.08 [8342]~P124(x83421)+P1(f318(f318(f227(x83421),x83423),x83422))+P1(f318(f318(f227(x83421),x83422),x83423))+~P1(f318(f318(f227(x83421),f318(f318(f76(x83421),x83422),x83424)),f318(f318(f76(x83421),x83423),x83424)))
% 182.43/182.08 [8354]~P124(x83541)+P1(f318(f318(f227(x83541),x83544),f2(x83541)))+P1(f318(f318(f227(x83541),x83542),x83543))+~P1(f318(f318(f227(x83541),f318(f318(f76(x83541),x83542),x83544)),f318(f318(f76(x83541),x83543),x83544)))
% 182.43/182.08 [8355]~P124(x83551)+P1(f318(f318(f227(x83551),x83554),f2(x83551)))+P1(f318(f318(f227(x83551),x83552),x83553))+~P1(f318(f318(f227(x83551),f318(f318(f76(x83551),x83554),x83552)),f318(f318(f76(x83551),x83554),x83553)))
% 182.43/182.08 [8358]~P124(x83581)+P1(f318(f318(f227(x83581),x83582),x83583))+P1(f318(f318(f227(x83581),f2(x83581)),x83584))+~P1(f318(f318(f227(x83581),f318(f318(f76(x83581),x83584),x83583)),f318(f318(f76(x83581),x83584),x83582)))
% 182.43/182.08 [8359]~P124(x83591)+P1(f318(f318(f227(x83591),x83592),x83593))+P1(f318(f318(f227(x83591),f2(x83591)),x83594))+~P1(f318(f318(f227(x83591),f318(f318(f76(x83591),x83593),x83594)),f318(f318(f76(x83591),x83592),x83594)))
% 182.43/182.08 [8372]~P124(x83721)+P1(f318(f318(f227(x83721),x83722),f2(x83721)))+P1(f318(f318(f227(x83721),f2(x83721)),x83722))+~P1(f318(f318(f227(x83721),f318(f318(f76(x83721),x83723),x83722)),f318(f318(f76(x83721),x83724),x83722)))
% 182.43/182.08 [8373]~P124(x83731)+P1(f318(f318(f227(x83731),x83732),f2(x83731)))+P1(f318(f318(f227(x83731),f2(x83731)),x83732))+~P1(f318(f318(f227(x83731),f318(f318(f76(x83731),x83732),x83733)),f318(f318(f76(x83731),x83732),x83734)))
% 182.43/182.08 [8403]~P124(x84031)+~P1(f318(f318(f227(x84031),x84034),f2(x84031)))+P1(f318(f318(f226(x84031),x84032),x84033))+~P1(f318(f318(f226(x84031),f318(f318(f76(x84031),x84034),x84033)),f318(f318(f76(x84031),x84034),x84032)))
% 182.43/182.08 [8404]~P124(x84041)+~P1(f318(f318(f227(x84041),x84044),f2(x84041)))+P1(f318(f318(f227(x84041),x84042),x84043))+~P1(f318(f318(f227(x84041),f318(f318(f76(x84041),x84044),x84043)),f318(f318(f76(x84041),x84044),x84042)))
% 182.43/182.08 [8415]~P109(x84153)+~P1(f318(f318(f227(x84153),f73(x84153)),x84154))+P1(f318(f318(f226(a898),x84151),x84152))+~P1(f318(f318(f226(x84153),f318(f318(f235(x84153),x84154),x84151)),f318(f318(f235(x84153),x84154),x84152)))
% 182.43/182.08 [8417]~P109(x84173)+~P1(f318(f318(f227(x84173),f73(x84173)),x84174))+P1(f318(f318(f227(a898),x84171),x84172))+~P1(f318(f318(f227(x84173),f318(f318(f235(x84173),x84174),x84171)),f318(f318(f235(x84173),x84174),x84172)))
% 182.43/182.08 [8427]~P124(x84271)+P1(f318(f318(f226(x84271),x84272),x84273))+~P1(f318(f318(f227(x84271),f2(x84271)),x84274))+~P1(f318(f318(f226(x84271),f318(f318(f76(x84271),x84274),x84272)),f318(f318(f76(x84271),x84274),x84273)))
% 182.43/182.08 [8428]~P131(x84281)+P1(f318(f318(f226(x84281),x84282),x84283))+~P1(f318(f318(f227(x84281),f2(x84281)),x84284))+~P1(f318(f318(f226(x84281),f318(f318(f76(x84281),x84284),x84282)),f318(f318(f76(x84281),x84284),x84283)))
% 182.43/182.08 [8429]~P131(x84291)+P1(f318(f318(f226(x84291),x84292),x84293))+~P1(f318(f318(f227(x84291),f2(x84291)),x84294))+~P1(f318(f318(f226(x84291),f318(f318(f76(x84291),x84292),x84294)),f318(f318(f76(x84291),x84293),x84294)))
% 182.43/182.08 [8430]~P124(x84301)+P1(f318(f318(f227(x84301),x84302),x84303))+~P1(f318(f318(f227(x84301),f2(x84301)),x84304))+~P1(f318(f318(f227(x84301),f318(f318(f76(x84301),x84304),x84302)),f318(f318(f76(x84301),x84304),x84303)))
% 182.43/182.08 [8431]~P131(x84311)+P1(f318(f318(f227(x84311),x84312),x84313))+~P1(f318(f318(f226(x84311),f2(x84311)),x84314))+~P1(f318(f318(f227(x84311),f318(f318(f76(x84311),x84314),x84312)),f318(f318(f76(x84311),x84314),x84313)))
% 182.43/182.08 [8432]~P132(x84321)+P1(f318(f318(f227(x84321),x84322),x84323))+~P1(f318(f318(f226(x84321),f2(x84321)),x84324))+~P1(f318(f318(f227(x84321),f318(f318(f76(x84321),x84324),x84322)),f318(f318(f76(x84321),x84324),x84323)))
% 182.43/182.08 [8433]~P109(x84331)+~P1(f318(f318(f226(x84331),f2(x84331)),x84333))+P1(f318(f318(f227(x84331),x84332),x84333))+~P1(f318(f318(f227(x84331),f318(f318(f235(x84331),x84332),x84334)),f318(f318(f235(x84331),x84333),x84334)))
% 182.43/182.08 [8434]~P131(x84341)+P1(f318(f318(f227(x84341),x84342),x84343))+~P1(f318(f318(f226(x84341),f2(x84341)),x84344))+~P1(f318(f318(f227(x84341),f318(f318(f76(x84341),x84342),x84344)),f318(f318(f76(x84341),x84343),x84344)))
% 182.43/182.08 [8435]~P132(x84351)+P1(f318(f318(f227(x84351),x84352),x84353))+~P1(f318(f318(f226(x84351),f2(x84351)),x84354))+~P1(f318(f318(f227(x84351),f318(f318(f76(x84351),x84352),x84354)),f318(f318(f76(x84351),x84353),x84354)))
% 182.43/182.08 [8479]P1(f318(f318(f320(x84791),x84792),x84793))+~P1(f318(f318(f226(f905(x84791,a894)),x84793),x84794))+~P1(f318(f318(f227(f905(x84791,a894)),x84793),x84794))+P1(f318(f318(f227(f905(x84791,a894)),x84793),f318(f318(f300(x84791),x84792),x84794)))
% 182.43/182.08 [8511]~P140(x85111)+~P120(x85111)+P1(f318(f318(f278(x85111),x85112),f318(f318(f75(x85111),f842(x85112,x85113,x85111)),f2(x85111))))+~P1(f318(x85113,f318(f318(f76(x85111),x85112),x85114)))
% 182.43/182.08 [8858]E(f318(f318(f23(a1),f344(x88581,x88582,x88583,x88584)),f345(x88581,x88582,x88583,x88584)),x88584)+~P1(f318(f318(f227(a1),f2(a1)),x88583))+~P1(f318(f318(f226(a1),x88581),x88584))+P1(f318(f318(f226(a1),x88581),f318(f318(f75(a1),x88584),x88583)))
% 182.43/182.08 [8859]E(f318(f318(f23(a1),f353(x88591,x88592,x88593,x88594)),f354(x88591,x88592,x88593,x88594)),x88594)+~P1(f318(f318(f227(a1),f2(a1)),x88593))+~P1(f318(f318(f227(a1),x88591),x88594))+P1(f318(f318(f227(a1),x88591),f318(f318(f75(a1),x88594),x88593)))
% 182.43/182.08 [9009]~E(f318(f318(f155(x90091),x90093),f656(x90094,x90093,x90091,x90092)),f318(f318(f155(x90091),x90094),f656(x90094,x90093,x90091,x90092)))+E(f318(f318(f166(x90091),x90092),x90093),f318(f318(f166(x90091),x90092),x90094))+~P1(f318(f318(f226(a898),x90092),f318(f180(f899(x90091)),x90093)))+~P1(f318(f318(f226(a898),x90092),f318(f180(f899(x90091)),x90094)))
% 182.43/182.08 [9075]~P1(f318(f318(f227(a1),f2(a1)),x90753))+~P1(f318(f318(f226(a1),x90751),x90754))+P1(f318(f318(f320(a1),f344(x90751,x90752,x90753,x90754)),x90752))+P1(f318(f318(f226(a1),x90751),f318(f318(f75(a1),x90754),x90753)))
% 182.43/182.08 [9076]~P1(f318(f318(f227(a1),f2(a1)),x90763))+~P1(f318(f318(f227(a1),x90761),x90764))+P1(f318(f318(f320(a1),f353(x90761,x90762,x90763,x90764)),x90762))+P1(f318(f318(f227(a1),x90761),f318(f318(f75(a1),x90764),x90763)))
% 182.43/182.08 [9116]~P102(x91161)+~P1(f318(f28(x91161),x91163))+~P1(f318(f318(f320(x91161),x91164),x91163))+P1(f318(f318(f226(x91161),f318(f318(f58(x91161,x91161,f92(x91161)),x91162),x91163)),f318(f318(f92(x91161),x91164),x91162)))
% 182.43/182.08 [9117]~P82(x91171)+~P1(f318(f28(x91171),x91173))+~P1(f318(f318(f320(x91171),x91174),x91173))+P1(f318(f318(f226(x91171),f318(f318(f58(x91171,x91171,f224(x91171)),x91172),x91173)),f318(f318(f224(x91171),x91174),x91172)))
% 182.43/182.08 [9161]E(f318(f318(f166(x91611),x91612),x91613),f318(f318(f166(x91611),x91612),x91614))+P1(f318(f318(f227(a898),f656(x91613,x91614,x91611,x91612)),x91612))+~P1(f318(f318(f226(a898),x91612),f318(f180(f899(x91611)),x91613)))+~P1(f318(f318(f226(a898),x91612),f318(f180(f899(x91611)),x91614)))
% 182.43/182.08 [9166]~P1(f318(f318(f227(a1),f2(a1)),x91663))+~P1(f318(f318(f226(a1),x91661),x91662))+P1(f318(f318(f320(a1),f345(x91661,x91664,x91663,x91662)),f294(a1,f73(a1),x91663)))+P1(f318(f318(f226(a1),x91661),f318(f318(f75(a1),x91662),x91663)))
% 182.43/182.08 [9167]~P1(f318(f318(f227(a1),f2(a1)),x91673))+~P1(f318(f318(f227(a1),x91671),x91672))+P1(f318(f318(f320(a1),f354(x91671,x91674,x91673,x91672)),f294(a1,f73(a1),x91673)))+P1(f318(f318(f227(a1),x91671),f318(f318(f75(a1),x91672),x91673)))
% 182.43/182.08 [9493]~P82(x94931)+~P1(f318(f28(x94931),x94934))+P1(f318(f318(f320(x94931),f609(x94932,x94933,x94934,x94931)),x94934))+P1(f318(f318(f226(x94931),f318(f318(f58(x94931,x94931,f225(x94931)),x94932),x94934)),f318(f318(f225(x94931),x94933),x94932)))
% 182.43/182.08 [9494]~P104(x94941)+~P1(f318(f28(x94941),x94944))+P1(f318(f318(f320(x94941),f613(x94942,x94943,x94944,x94941)),x94944))+P1(f318(f318(f226(x94941),f318(f318(f58(x94941,x94941,f101(x94941)),x94942),x94944)),f318(f318(f101(x94941),x94943),x94942)))
% 182.43/182.08 [9630]~P104(x96301)+~P1(f318(f28(x96301),x96303))+~P1(f318(f318(f226(x96301),f613(x96302,x96304,x96303,x96301)),x96304))+P1(f318(f318(f226(x96301),f318(f318(f58(x96301,x96301,f101(x96301)),x96302),x96303)),f318(f318(f101(x96301),x96304),x96302)))
% 182.43/182.08 [9631]~P82(x96311)+~P1(f318(f28(x96311),x96313))+~P1(f318(f318(f226(x96311),f609(x96312,x96314,x96313,x96311)),x96314))+P1(f318(f318(f226(x96311),f318(f318(f58(x96311,x96311,f225(x96311)),x96312),x96313)),f318(f318(f225(x96311),x96314),x96312)))
% 182.43/182.08 [9633]~P1(f318(f318(f226(a1),f2(a1)),x96334))+~P1(f318(f318(f227(a1),f2(a1)),x96333))+~P1(f318(f318(f227(a1),x96334),x96331))+P1(f318(f318(f227(a1),f318(f318(f75(a1),f318(f318(f76(a1),x96331),f40(a1,x96332,x96333))),x96334)),f318(f318(f76(a1),x96331),x96333)))
% 182.43/182.08 [10019]E(x100191,x100192)+P1(f318(f318(f320(f904(f899(x100193),f899(x100193))),f318(f318(f243(f899(x100193),f899(x100193)),x100192),x100191)),f138(x100193,x100194)))+P1(f318(f318(f320(f904(f899(x100193),f899(x100193))),f318(f318(f243(f899(x100193),f899(x100193)),x100191),x100192)),f138(x100193,x100194)))+~P1(f318(f318(f320(f904(x100193,x100193)),f318(f318(f243(x100193,x100193),f636(x100191,x100192,x100194,x100193)),f637(x100191,x100192,x100194,x100193))),x100194))
% 182.43/182.08 [10020]E(x100201,x100202)+P1(f318(f318(f320(f904(f899(x100203),f899(x100203))),f318(f318(f243(f899(x100203),f899(x100203)),x100202),x100201)),f138(x100203,x100204)))+P1(f318(f318(f320(f904(f899(x100203),f899(x100203))),f318(f318(f243(f899(x100203),f899(x100203)),x100201),x100202)),f138(x100203,x100204)))+~P1(f318(f318(f320(f904(x100203,x100203)),f318(f318(f243(x100203,x100203),f637(x100201,x100202,x100204,x100203)),f636(x100201,x100202,x100204,x100203))),x100204))
% 182.43/182.08 [7563]~P104(x75631)+~P1(f318(f318(f226(x75631),x75633),x75634))+~P1(f318(f318(f226(x75631),x75632),x75634))+P1(f318(f318(f226(x75631),f318(f318(f101(x75631),x75632),x75633)),x75634))
% 182.43/182.08 [7566]~P82(x75661)+~P1(f318(f318(f226(x75661),x75663),x75664))+~P1(f318(f318(f226(x75661),x75662),x75664))+P1(f318(f318(f226(x75661),f318(f318(f225(x75661),x75662),x75663)),x75664))
% 182.43/182.08 [7567]~P82(x75671)+~P1(f318(f318(f227(x75671),x75673),x75674))+~P1(f318(f318(f227(x75671),x75672),x75674))+P1(f318(f318(f227(x75671),f318(f318(f225(x75671),x75672),x75673)),x75674))
% 182.43/182.08 [7805]~P3(x78051)+E(f318(f318(f75(x78051),f318(f318(f30(x78051),x78052),x78053)),f318(f318(f30(x78051),x78054),x78053)),f318(f318(f30(x78051),f318(f318(f75(x78051),x78052),x78054)),x78053))+~P1(f318(f318(f278(x78051),x78053),x78054))+~P1(f318(f318(f278(x78051),x78053),x78052))
% 182.43/182.08 [7888]~E(x78881,x78883)+E(f130(a898,f318(f293(a898,x78881),x78882)),f318(f318(f142(a898),x78883),x78884))+~E(f130(a898,f318(f293(a898,f318(f318(f75(a898),x78881),f73(a898))),x78882)),x78884)+~P1(f318(f318(f227(a898),x78881),x78882))
% 182.43/182.08 [7896]~P82(x78961)+P1(f318(f318(f226(x78961),x78962),x78963))+P1(f318(f318(f226(x78961),x78964),x78963))+~P1(f318(f318(f226(x78961),f318(f318(f224(x78961),x78964),x78962)),x78963))
% 182.43/182.08 [7897]~P82(x78971)+P1(f318(f318(f227(x78971),x78972),x78973))+P1(f318(f318(f227(x78971),x78974),x78973))+~P1(f318(f318(f227(x78971),f318(f318(f224(x78971),x78974),x78972)),x78973))
% 182.43/182.08 [8173]~P62(x81731)+~P1(f318(f318(f227(x81731),f2(x81731)),x81733))+~P1(f318(f318(f226(x81731),x81732),f318(f318(f282(x81731),x81734),x81733)))+P1(f318(f318(f226(x81731),f318(f318(f76(x81731),x81732),x81733)),x81734))
% 182.43/182.08 [8174]~P63(x81741)+~P1(f318(f318(f227(x81741),f2(x81741)),x81743))+~P1(f318(f318(f226(x81741),x81742),f318(f318(f282(x81741),x81744),x81743)))+P1(f318(f318(f226(x81741),f318(f318(f76(x81741),x81742),x81743)),x81744))
% 182.43/182.08 [8175]~P62(x81751)+~P1(f318(f318(f227(x81751),f2(x81751)),x81753))+~P1(f318(f318(f226(x81751),x81752),f318(f318(f76(x81751),x81754),x81753)))+P1(f318(f318(f226(x81751),f318(f318(f282(x81751),x81752),x81753)),x81754))
% 182.43/182.08 [8177]~P63(x81771)+~P1(f318(f318(f227(x81771),f2(x81771)),x81773))+~P1(f318(f318(f226(x81771),x81772),f318(f318(f76(x81771),x81774),x81773)))+P1(f318(f318(f226(x81771),f318(f318(f282(x81771),x81772),x81773)),x81774))
% 182.43/182.08 [8178]~P62(x81781)+~P1(f318(f318(f227(x81781),f2(x81781)),x81783))+~P1(f318(f318(f227(x81781),x81782),f318(f318(f282(x81781),x81784),x81783)))+P1(f318(f318(f227(x81781),f318(f318(f76(x81781),x81782),x81783)),x81784))
% 182.43/182.08 [8179]~P63(x81791)+~P1(f318(f318(f227(x81791),f2(x81791)),x81793))+~P1(f318(f318(f227(x81791),x81792),f318(f318(f282(x81791),x81794),x81793)))+P1(f318(f318(f227(x81791),f318(f318(f76(x81791),x81792),x81793)),x81794))
% 182.43/182.08 [8180]~P62(x81801)+~P1(f318(f318(f227(x81801),f2(x81801)),x81803))+~P1(f318(f318(f227(x81801),x81802),f318(f318(f76(x81801),x81804),x81803)))+P1(f318(f318(f227(x81801),f318(f318(f282(x81801),x81802),x81803)),x81804))
% 182.43/182.08 [8182]~P63(x81821)+~P1(f318(f318(f227(x81821),f2(x81821)),x81823))+~P1(f318(f318(f227(x81821),x81822),f318(f318(f76(x81821),x81824),x81823)))+P1(f318(f318(f227(x81821),f318(f318(f282(x81821),x81822),x81823)),x81824))
% 182.43/182.08 [8311]~P62(x83111)+~P1(f318(f318(f227(x83111),f2(x83111)),x83114))+P1(f318(f318(f226(x83111),x83112),f318(f318(f76(x83111),x83113),x83114)))+~P1(f318(f318(f226(x83111),f318(f318(f282(x83111),x83112),x83114)),x83113))
% 182.43/182.08 [8312]~P62(x83121)+~P1(f318(f318(f227(x83121),f2(x83121)),x83124))+P1(f318(f318(f226(x83121),x83122),f318(f318(f282(x83121),x83123),x83124)))+~P1(f318(f318(f226(x83121),f318(f318(f76(x83121),x83122),x83124)),x83123))
% 182.43/182.08 [8314]~P63(x83141)+~P1(f318(f318(f227(x83141),f2(x83141)),x83144))+P1(f318(f318(f226(x83141),x83142),f318(f318(f76(x83141),x83143),x83144)))+~P1(f318(f318(f226(x83141),f318(f318(f282(x83141),x83142),x83144)),x83143))
% 182.43/182.08 [8315]~P63(x83151)+~P1(f318(f318(f227(x83151),f2(x83151)),x83154))+P1(f318(f318(f226(x83151),x83152),f318(f318(f282(x83151),x83153),x83154)))+~P1(f318(f318(f226(x83151),f318(f318(f76(x83151),x83152),x83154)),x83153))
% 182.43/182.08 [8316]~P62(x83161)+~P1(f318(f318(f227(x83161),f2(x83161)),x83164))+P1(f318(f318(f227(x83161),x83162),f318(f318(f76(x83161),x83163),x83164)))+~P1(f318(f318(f227(x83161),f318(f318(f282(x83161),x83162),x83164)),x83163))
% 182.43/182.08 [8317]~P62(x83171)+~P1(f318(f318(f227(x83171),f2(x83171)),x83174))+P1(f318(f318(f227(x83171),x83172),f318(f318(f282(x83171),x83173),x83174)))+~P1(f318(f318(f227(x83171),f318(f318(f76(x83171),x83172),x83174)),x83173))
% 182.43/182.08 [8319]~P63(x83191)+~P1(f318(f318(f227(x83191),f2(x83191)),x83194))+P1(f318(f318(f227(x83191),x83192),f318(f318(f76(x83191),x83193),x83194)))+~P1(f318(f318(f227(x83191),f318(f318(f282(x83191),x83192),x83194)),x83193))
% 182.43/182.08 [8320]~P63(x83201)+~P1(f318(f318(f227(x83201),f2(x83201)),x83204))+P1(f318(f318(f227(x83201),x83202),f318(f318(f282(x83201),x83203),x83204)))+~P1(f318(f318(f227(x83201),f318(f318(f76(x83201),x83202),x83204)),x83203))
% 182.43/182.08 [8482]~P63(x84821)+~P1(f318(f318(f227(x84821),x84823),f2(x84821)))+~P1(f318(f318(f226(x84821),f318(f318(f282(x84821),x84824),x84823)),x84822))+P1(f318(f318(f226(x84821),f318(f318(f76(x84821),x84822),x84823)),x84824))
% 182.43/182.08 [8483]~P63(x84831)+~P1(f318(f318(f227(x84831),x84833),f2(x84831)))+~P1(f318(f318(f226(x84831),f318(f318(f76(x84831),x84834),x84833)),x84832))+P1(f318(f318(f226(x84831),f318(f318(f282(x84831),x84832),x84833)),x84834))
% 182.43/182.08 [8484]~P63(x84841)+~P1(f318(f318(f227(x84841),x84843),f2(x84841)))+~P1(f318(f318(f227(x84841),f318(f318(f282(x84841),x84844),x84843)),x84842))+P1(f318(f318(f227(x84841),f318(f318(f76(x84841),x84842),x84843)),x84844))
% 182.43/182.08 [8485]~P63(x84851)+~P1(f318(f318(f227(x84851),x84853),f2(x84851)))+~P1(f318(f318(f227(x84851),f318(f318(f76(x84851),x84854),x84853)),x84852))+P1(f318(f318(f227(x84851),f318(f318(f282(x84851),x84852),x84853)),x84854))
% 182.43/182.08 [8497]~P1(f318(x84971,x84974))+~P1(f318(f318(f227(a898),x84972),f318(f318(f76(a898),x84973),f318(a103,x84974))))+P1(f318(x84971,f318(f318(f30(a898),x84972),x84973)))+~P1(f318(f318(f226(a898),f318(f318(f76(a898),x84973),x84974)),x84972))
% 182.43/182.08 [8706]~P104(x87061)+~P1(f318(f28(x87061),x87064))+~P1(f318(f318(f320(x87061),x87062),x87064))+P1(f318(f318(f226(x87061),f318(f318(f101(x87061),x87062),x87063)),f318(f318(f58(x87061,x87061,f101(x87061)),x87063),x87064)))
% 182.43/182.08 [8707]~P82(x87071)+~P1(f318(f28(x87071),x87074))+~P1(f318(f318(f320(x87071),x87072),x87074))+P1(f318(f318(f226(x87071),f318(f318(f225(x87071),x87072),x87073)),f318(f318(f58(x87071,x87071,f225(x87071)),x87073),x87074)))
% 182.43/182.08 [8860]~P1(f318(f28(x88601),x88602))+E(f318(f29(x88601),f318(f318(f23(f905(x88601,a894)),x88602),f318(f318(f300(x88601),x88603),x88604))),f318(f318(f23(a898),f318(f29(x88601),f318(f318(f23(f905(x88601,a894)),x88602),x88604))),f73(a898)))+P1(f318(f318(f320(x88601),x88603),x88604))+~P1(f318(f318(f320(x88601),x88603),x88602))
% 182.43/182.08 [8937]E(f318(f318(f75(a1),f346(x89371,x89372,x89373,x89374)),f347(x89371,x89372,x89373,x89374)),x89374)+~P1(f318(f318(f227(a1),f2(a1)),x89373))+~P1(f318(f318(f226(a1),x89374),x89371))+P1(f318(f318(f226(a1),f318(f318(f23(a1),x89374),x89373)),x89371))
% 182.43/182.08 [8938]E(f318(f318(f75(a1),f355(x89381,x89382,x89383,x89384)),f356(x89381,x89382,x89383,x89384)),x89384)+~P1(f318(f318(f227(a1),f2(a1)),x89383))+~P1(f318(f318(f227(a1),x89384),x89381))+P1(f318(f318(f227(a1),f318(f318(f23(a1),x89384),x89383)),x89381))
% 182.43/182.08 [9146]~P1(f318(f318(f227(a1),f2(a1)),x91463))+~P1(f318(f318(f226(a1),x91464),x91461))+P1(f318(f318(f320(a1),f346(x91461,x91462,x91463,x91464)),x91462))+P1(f318(f318(f226(a1),f318(f318(f23(a1),x91464),x91463)),x91461))
% 182.43/182.08 [9147]~P1(f318(f318(f227(a1),f2(a1)),x91473))+~P1(f318(f318(f227(a1),x91474),x91471))+P1(f318(f318(f320(a1),f355(x91471,x91472,x91473,x91474)),x91472))+P1(f318(f318(f227(a1),f318(f318(f23(a1),x91474),x91473)),x91471))
% 182.43/182.08 [9234]~P1(f318(f318(f227(a1),f2(a1)),x92342))+~P1(f318(f318(f226(a1),x92341),x92343))+P1(f318(f318(f320(a1),f347(x92343,x92344,x92342,x92341)),f294(a1,f73(a1),x92342)))+P1(f318(f318(f226(a1),f318(f318(f23(a1),x92341),x92342)),x92343))
% 182.43/182.08 [9235]~P1(f318(f318(f227(a1),f2(a1)),x92352))+~P1(f318(f318(f227(a1),x92351),x92353))+P1(f318(f318(f320(a1),f356(x92353,x92354,x92352,x92351)),f294(a1,f73(a1),x92352)))+P1(f318(f318(f227(a1),f318(f318(f23(a1),x92351),x92352)),x92353))
% 182.43/182.08 [9253]~P1(f318(f318(f226(a1),f2(a1)),x92534))+~P1(f318(f318(f227(a1),f2(a1)),x92533))+~P1(f318(f318(f227(a1),x92534),x92531))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),f318(f318(f76(a1),x92531),f40(a1,x92532,x92533))),x92534)))
% 182.43/182.08 [9282]E(x92821,x92822)+~P38(x92823,x92824)+~P1(f318(f318(f320(f904(x92823,x92823)),f318(f318(f243(x92823,x92823),x92822),x92821)),x92824))+~P1(f318(f318(f320(f904(x92823,x92823)),f318(f318(f243(x92823,x92823),x92821),x92822)),x92824))
% 182.43/182.08 [9315]~P102(x93151)+~P1(f318(f28(x93151),x93154))+~P1(f318(f318(f226(x93151),x93152),f612(x93153,x93152,x93154,x93151)))+P1(f318(f318(f226(x93151),f318(f318(f92(x93151),x93152),x93153)),f318(f318(f58(x93151,x93151,f92(x93151)),x93153),x93154)))
% 182.43/182.08 [9316]~P82(x93161)+~P1(f318(f28(x93161),x93164))+~P1(f318(f318(f226(x93161),x93162),f608(x93163,x93162,x93164,x93161)))+P1(f318(f318(f226(x93161),f318(f318(f224(x93161),x93162),x93163)),f318(f318(f58(x93161,x93161,f224(x93161)),x93163),x93164)))
% 182.43/182.08 [9333]~P1(f318(f318(f226(a1),x93334),f2(a1)))+~P1(f318(f318(f227(a1),f2(a1)),x93332))+~P1(f318(f318(f227(a1),x93331),x93334))+P1(f318(f318(f227(a1),f318(f318(f76(a1),x93331),x93332)),f318(f318(f75(a1),f318(f318(f76(a1),x93331),f40(a1,x93333,x93332))),x93334)))
% 182.43/182.08 [9359]P1(f318(f28(x93591),x93592))+~P1(f318(f28(x93591),x93593))+~P1(f318(f318(f320(f905(x93591,a894)),x93592),f318(f318(f55(x93591),x93593),x93594)))+~P1(f318(f318(f226(f905(f904(x93591,x93591),a894)),x93594),f318(f318(f245(x93591,x93591),x93593),f318(f16(f905(x93591,a894),x93591),x93593))))
% 182.43/182.08 [9383]~P82(x93831)+~P1(f318(f28(x93831),x93834))+P1(f318(f318(f320(x93831),f608(x93832,x93833,x93834,x93831)),x93834))+P1(f318(f318(f226(x93831),f318(f318(f224(x93831),x93833),x93832)),f318(f318(f58(x93831,x93831,f224(x93831)),x93832),x93834)))
% 182.43/182.08 [9384]~P102(x93841)+~P1(f318(f28(x93841),x93844))+P1(f318(f318(f320(x93841),f612(x93842,x93843,x93844,x93841)),x93844))+P1(f318(f318(f226(x93841),f318(f318(f92(x93841),x93843),x93842)),f318(f318(f58(x93841,x93841,f92(x93841)),x93842),x93844)))
% 182.43/182.08 [9797]~P1(f318(f28(x97972),x97974))+~P1(f318(f28(x97971),x97973))+~P1(f318(f318(f226(a898),f318(f29(x97972),x97974)),f318(f29(x97971),x97973)))+P1(f318(f318(f226(f905(x97971,a894)),f318(f301(x97972,x97971,f486(x97973,x97971,x97974,x97972)),x97974)),x97973))
% 182.43/182.08 [9434]~P1(f318(f318(f320(x94341),x94342),x94344))+P1(f318(f318(f320(x94341),x94342),x94343))+~P1(f318(f318(f227(f905(x94341,a894)),x94344),f318(f318(f300(x94341),x94342),x94343)))+P1(f318(f318(f227(f905(x94341,a894)),f318(f318(f23(f905(x94341,a894)),x94344),f318(f318(f300(x94341),x94342),f179(f905(x94341,a894))))),x94343))
% 182.43/182.08 [9611]~P1(f318(f318(f320(x96111),x96112),x96114))+P1(f318(f318(f320(x96111),x96112),x96113))+P1(f318(f318(f227(f905(x96111,a894)),x96114),f318(f318(f300(x96111),x96112),x96113)))+~P1(f318(f318(f227(f905(x96111,a894)),f318(f318(f23(f905(x96111,a894)),x96114),f318(f318(f300(x96111),x96112),f179(f905(x96111,a894))))),x96113))
% 182.43/182.08 [9636]P1(f318(f318(f320(x96361),x96362),x96363))+~P1(f318(f318(f226(f905(x96361,a894)),x96364),x96363))+P1(f318(f318(f227(f905(x96361,a894)),x96364),f318(f318(f300(x96361),x96362),x96363)))+~P1(f318(f318(f227(f905(x96361,a894)),f318(f318(f23(f905(x96361,a894)),x96364),f318(f318(f300(x96361),x96362),f179(f905(x96361,a894))))),x96363))
% 182.43/182.08 [9641]~P1(f318(f318(f320(x96411),x96413),x96412))+~P1(f318(f318(f227(f905(x96411,a894)),x96412),x96414))+P1(f318(f318(f227(f905(x96411,a894)),x96412),f318(f318(f300(x96411),x96413),x96414)))+~P1(f318(f318(f227(f905(x96411,a894)),f318(f318(f23(f905(x96411,a894)),x96412),f318(f318(f300(x96411),x96413),f179(f905(x96411,a894))))),x96414))
% 182.43/182.08 [9657]~P1(f318(f318(f226(f905(x96571,a894)),x96572),x96574))+~P1(f318(f318(f227(f905(x96571,a894)),x96572),x96574))+P1(f318(f318(f227(f905(x96571,a894)),x96572),f318(f318(f300(x96571),x96573),x96574)))+~P1(f318(f318(f227(f905(x96571,a894)),f318(f318(f23(f905(x96571,a894)),x96572),f318(f318(f300(x96571),x96573),f179(f905(x96571,a894))))),x96574))
% 182.43/182.08 [9702]~P108(x97022)+~P59(x97021)+~P1(f318(f318(f226(f905(x97021,x97022)),x97023),x97024))+P1(f318(f52(x97021),f318(f318(f18(x97021,x97022,a894),f318(f318(f8(x97022,f905(x97022,a894),x97021),f226(x97022)),x97023)),x97024)))
% 182.43/182.08 [9845]~P108(x98452)+~P59(x98451)+P1(f318(f318(f226(f905(x98451,x98452)),x98453),x98454))+~P1(f318(f52(x98451),f318(f318(f18(x98451,x98452,a894),f318(f318(f8(x98452,f905(x98452,a894),x98451),f226(x98452)),x98453)),x98454)))
% 182.43/182.08 [10010]E(f318(f318(f155(x100101),f318(f318(f155(f899(x100101)),f170(x100101,x100102)),x100103)),x100104),f318(f318(f155(x100101),f318(f318(f155(f899(x100101)),x100102),x100104)),x100103))+~P1(f318(f318(f227(a898),x100103),f318(f180(f899(f899(x100101))),f170(x100101,x100102))))+~P13(a898,f318(f159(a898),f318(f318(f145(f899(x100101),a898),f180(f899(x100101))),x100102)))+~P1(f318(f318(f227(a898),x100104),f318(f180(f899(f899(x100101))),f318(f127(f899(x100101),f318(f318(f8(a898,a894,f899(x100101)),f318(f227(a898),x100103)),f180(f899(x100101)))),x100102))))
% 182.43/182.08 [10031]~P1(f318(f318(f320(f904(a898,a898)),x100314),x100311))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x100314),x100312)),a26))+~P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100311),x100313)),a63))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100311),f318(f318(f300(f904(a898,a898)),x100312),x100313))),a63))
% 182.43/182.08 [10032]~P1(f318(f318(f320(f904(a898,a898)),x100324),x100321))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x100324),x100322)),a65))+~P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100321),x100323)),a66))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100321),f318(f318(f300(f904(a898,a898)),x100322),x100323))),a66))
% 182.43/182.08 [9922]~P108(x99222)+~P59(x99221)+~P1(f318(f318(f227(f905(x99221,x99222)),x99223),x99224))+P1(f318(f51(x99221),f318(f318(f8(a894,a894,x99221),a313),f318(f318(f18(x99221,x99222,a894),f318(f318(f8(x99222,f905(x99222,a894),x99221),a315),x99223)),x99224))))
% 182.43/182.08 [10043]~P1(f318(f318(f320(f904(a898,a898)),x100434),x100433))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x100431),x100434)),a26))+~P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100432),x100433)),a27))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f318(f318(f300(f904(a898,a898)),x100431),x100432)),x100433)),a27))
% 182.43/182.08 [10044]~P1(f318(f318(f320(f904(a898,a898)),x100444),x100443))+~P1(f318(f318(f320(f904(f904(a898,a898),f904(a898,a898))),f318(f318(f243(f904(a898,a898),f904(a898,a898)),x100441),x100444)),a65))+~P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),x100442),x100443)),a64))+P1(f318(f318(f320(f904(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894))),f318(f318(f243(f905(f904(a898,a898),a894),f905(f904(a898,a898),a894)),f318(f318(f300(f904(a898,a898)),x100441),x100442)),x100443)),a64))
% 182.43/182.08 [6125]~P7(x61254,x61251)+~P1(f318(f318(x61251,x61252),x61255))+P1(f318(f318(x61251,x61252),x61253))+~P1(f318(f318(x61251,x61255),x61253))
% 182.43/182.08 [6126]~P48(x61264,x61261)+~P1(f318(f318(x61261,x61262),x61265))+P1(f318(f318(x61261,x61262),x61263))+~P1(f318(f318(x61261,x61265),x61263))
% 182.43/182.08 [6127]~P15(x61274,x61271)+~P1(f318(f318(x61271,x61272),x61275))+P1(f318(f318(x61271,x61272),x61273))+~P1(f318(f318(x61271,x61275),x61273))
% 182.43/182.08 [8845]~P7(x88454,x88453)+~P1(f318(x88451,x88455))+P1(f318(x88452,f815(x88452,x88451,x88453,x88454)))+P1(f318(x88451,f813(x88452,x88451,x88453,x88454)))
% 182.43/182.08 [9083]~P7(x90834,x90833)+~P1(f318(x90832,x90835))+~P1(f318(x90831,f813(x90831,x90832,x90833,x90834)))+P1(f318(x90831,f815(x90831,x90832,x90833,x90834)))
% 182.43/182.08 [9266]~P7(x92664,x92663)+~P1(f318(x92661,x92665))+P1(f318(f318(f320(x92664),f815(x92662,x92661,x92663,x92664)),f261(x92664,x92663)))+P1(f318(x92661,f813(x92662,x92661,x92663,x92664)))
% 182.43/182.08 [9392]~P7(x93921,x93924)+~P1(f318(x93923,x93925))+~P1(f318(x93922,f813(x93922,x93923,x93924,x93921)))+P1(f318(f318(f320(x93921),f815(x93922,x93923,x93924,x93921)),f261(x93921,x93924)))
% 182.43/182.08 [9691]~P37(x96911,x96914)+P1(f318(f318(f320(f904(f899(x96911),f899(x96911))),f318(f318(f243(f899(x96911),f899(x96911)),x96912),x96913)),f138(x96911,x96914)))+~P1(f318(f318(f320(f904(f899(x96911),f899(x96911))),f318(f318(f243(f899(x96911),f899(x96911)),x96912),x96915)),f138(x96911,x96914)))+~P1(f318(f318(f320(f904(f899(x96911),f899(x96911))),f318(f318(f243(f899(x96911),f899(x96911)),x96915),x96913)),f138(x96911,x96914)))
% 182.43/182.08 [5350]~P67(x53505)+E(x53501,x53502)+~E(x53503,x53504)+~E(f318(f318(f23(x53505),x53503),x53504),f318(f318(f23(x53505),x53501),x53502))
% 182.43/182.08 [6241]~P17(x62415,x62411,x62413)+E(f318(f318(x62411,x62412),f318(x62413,x62414)),f318(x62413,x62414))+~P1(f318(f28(x62415),x62414))+~P1(f318(f318(f320(x62415),x62412),x62414))
% 182.43/182.08 [6437]~P65(x64371)+~E(f318(f318(f23(x64371),x64374),x64375),f318(f318(f23(x64371),x64372),x64373))+~P1(f318(f318(f226(x64371),x64374),x64375))+P1(f318(f318(f226(x64371),x64372),x64373))
% 182.43/182.08 [6439]~P65(x64391)+~E(f318(f318(f23(x64391),x64394),x64395),f318(f318(f23(x64391),x64392),x64393))+~P1(f318(f318(f227(x64391),x64394),x64395))+P1(f318(f318(f227(x64391),x64392),x64393))
% 182.43/182.08 [7430]~E(x74302,f318(f318(f142(x74301),x74304),x74305))+P1(f318(f318(f320(f899(x74301)),x74302),f152(x74301,x74303)))+~P1(f318(f318(f320(f899(x74301)),x74305),f152(x74301,x74303)))+~P1(f318(f318(f320(x74301),x74304),x74303))
% 182.43/182.08 [7836]~E(f318(f180(f899(x78361)),x78363),f318(f180(f899(x78362)),x78364))+~E(f318(f318(f145(f904(x78361,x78362),x78362),f247(x78361,x78362)),x78365),x78364)+~E(f318(f318(f145(f904(x78361,x78362),x78361),f242(x78361,x78362)),x78365),x78363)+E(f318(f318(f172(x78361,x78362),x78363),x78364),x78365)
% 182.43/182.08 [8169]~P108(x81691)+P1(f318(f318(f227(f905(x81691,a894)),f294(x81691,x81692,x81693)),f294(x81691,x81694,x81695)))+~P1(f318(f318(f226(x81691),x81694),x81695))+P1(f318(f318(f226(x81691),x81692),x81693))
% 182.43/182.08 [8269]~P108(x82691)+P1(f318(f318(f226(f905(x82691,a894)),f294(x82691,x82692,x82693)),f294(x82691,x82694,x82695)))+~P1(f318(f318(f226(x82691),x82693),x82695))+~P1(f318(f318(f226(x82691),x82694),x82692))
% 182.43/182.08 [8388]~P82(x83881)+P1(f318(f318(f226(x83881),x83882),x83883))+P1(f318(f318(f226(x83881),x83884),x83883))+~P1(f318(f318(f226(f905(x83881,a894)),f318(f293(x83881,x83883),x83882)),f318(f293(x83881,x83884),x83885)))
% 182.43/182.08 [8389]~P82(x83891)+P1(f318(f318(f226(x83891),x83892),x83893))+P1(f318(f318(f226(x83891),x83892),x83894))+~P1(f318(f318(f226(f905(x83891,a894)),f318(f293(x83891,x83893),x83892)),f318(f293(x83891,x83895),x83894)))
% 182.43/182.08 [8623]~P108(x86231)+~P1(f318(f318(f226(f905(x86231,a894)),f294(x86231,x86234,x86232)),f294(x86231,x86235,x86233)))+P1(f318(f318(f226(x86231),x86232),x86233))+~P1(f318(f318(f226(x86231),x86234),x86232))
% 182.43/182.08 [8624]~P108(x86241)+~P1(f318(f318(f227(f905(x86241,a894)),f294(x86241,x86244,x86242)),f294(x86241,x86245,x86243)))+P1(f318(f318(f226(x86241),x86242),x86243))+~P1(f318(f318(f226(x86241),x86244),x86242))
% 182.43/182.08 [8625]~P108(x86251)+~P1(f318(f318(f226(f905(x86251,a894)),f294(x86251,x86253,x86254)),f294(x86251,x86252,x86255)))+P1(f318(f318(f226(x86251),x86252),x86253))+~P1(f318(f318(f226(x86251),x86253),x86254))
% 182.43/182.08 [8626]~P108(x86261)+~P1(f318(f318(f227(f905(x86261,a894)),f294(x86261,x86263,x86264)),f294(x86261,x86262,x86265)))+P1(f318(f318(f226(x86261),x86262),x86263))+~P1(f318(f318(f226(x86261),x86263),x86264))
% 182.43/182.08 [6124]~P17(x61242,x61245,x61243)+E(x61241,f179(f905(x61242,a894)))+~P1(f318(f28(x61242),x61241))+E(f318(x61243,f318(f318(f300(x61242),x61244),x61241)),f318(f318(x61245,x61244),f318(x61243,x61241)))
% 182.43/182.08 [6920]~E(x69201,x69202)+~E(f318(f318(f92(f905(x69203,a894)),x69204),x69205),f179(f905(x69203,a894)))+~P1(f318(f318(f320(x69203),x69202),x69205))+~P1(f318(f318(f320(x69203),x69201),x69204))
% 182.43/182.08 [7002]~P18(x70022,x70025,x70021)+~P1(f318(f28(x70022),x70024))+E(f318(x70021,f318(f318(f300(x70022),x70023),x70024)),f318(f318(f58(x70022,x70022,x70025),x70023),x70024))+P1(f318(f318(f320(x70022),x70023),x70024))
% 182.43/182.08 [7071]~P74(x70712)+~P1(f318(f28(x70711),x70715))+E(f318(f318(f6(x70711,x70712),x70713),f318(f318(f300(x70711),x70714),x70715)),f318(f318(f75(x70712),f318(x70713,x70714)),f318(f318(f6(x70711,x70712),x70713),x70715)))+P1(f318(f318(f320(x70711),x70714),x70715))
% 182.43/182.08 [7073]~P75(x70732)+~P1(f318(f28(x70731),x70735))+E(f318(f318(f9(x70731,x70732),x70733),f318(f318(f300(x70731),x70734),x70735)),f318(f318(f76(x70732),f318(x70733,x70734)),f318(f318(f9(x70731,x70732),x70733),x70735)))+P1(f318(f318(f320(x70731),x70734),x70735))
% 182.43/182.08 [7477]~P111(x74771)+~P1(f318(f28(x74774),x74775))+~P1(f318(f318(f320(x74774),x74773),x74775))+P1(f318(f318(f278(x74771),f318(x74772,x74773)),f318(f318(f9(x74774,x74771),x74772),x74775)))
% 182.43/182.08 [7576]~P18(x75762,x75765,x75761)+~P1(f318(f28(x75762),x75764))+E(f318(x75761,f318(f318(f300(x75762),x75763),x75764)),x75763)+~E(f318(f318(f23(f905(x75762,a894)),x75764),f318(f318(f300(x75762),x75763),f179(f905(x75762,a894)))),f179(f905(x75762,a894)))
% 182.43/182.08 [7909]~P111(x79091)+~P1(f318(f318(f278(x79091),x79092),x79094))+~P1(f318(f318(f226(a898),x79093),x79095))+P1(f318(f318(f278(x79091),f318(f318(f235(x79091),x79092),x79093)),f318(f318(f235(x79091),x79094),x79095)))
% 182.43/182.08 [7937]~P3(x79371)+E(f318(f318(f30(x79371),f318(f318(f76(x79371),x79372),x79373)),f318(f318(f76(x79371),x79374),x79375)),f318(f318(f76(x79371),f318(f318(f30(x79371),x79372),x79374)),f318(f318(f30(x79371),x79373),x79375)))+~P1(f318(f318(f278(x79371),x79375),x79373))+~P1(f318(f318(f278(x79371),x79374),x79372))
% 182.43/182.08 [7941]~P102(x79411)+~P1(f318(f318(f226(x79411),x79413),x79415))+~P1(f318(f318(f226(x79411),x79412),x79414))+P1(f318(f318(f226(x79411),f318(f318(f92(x79411),x79412),x79413)),f318(f318(f92(x79411),x79414),x79415)))
% 182.43/182.08 [7942]~P86(x79421)+~P1(f318(f318(f226(x79421),x79423),x79425))+~P1(f318(f318(f226(x79421),x79422),x79424))+P1(f318(f318(f226(x79421),f318(f318(f75(x79421),x79422),x79423)),f318(f318(f75(x79421),x79424),x79425)))
% 182.43/182.08 [7943]~P104(x79431)+~P1(f318(f318(f226(x79431),x79433),x79435))+~P1(f318(f318(f226(x79431),x79432),x79434))+P1(f318(f318(f226(x79431),f318(f318(f101(x79431),x79432),x79433)),f318(f318(f101(x79431),x79434),x79435)))
% 182.43/182.08 [7944]~P82(x79441)+~P1(f318(f318(f226(x79441),x79443),x79445))+~P1(f318(f318(f226(x79441),x79442),x79444))+P1(f318(f318(f226(x79441),f318(f318(f224(x79441),x79442),x79443)),f318(f318(f224(x79441),x79444),x79445)))
% 182.43/182.08 [7945]~P82(x79451)+~P1(f318(f318(f226(x79451),x79453),x79455))+~P1(f318(f318(f226(x79451),x79452),x79454))+P1(f318(f318(f226(x79451),f318(f318(f225(x79451),x79452),x79453)),f318(f318(f225(x79451),x79454),x79455)))
% 182.43/182.08 [7946]~P88(x79461)+~P1(f318(f318(f226(x79461),x79463),x79465))+~P1(f318(f318(f227(x79461),x79462),x79464))+P1(f318(f318(f227(x79461),f318(f318(f75(x79461),x79462),x79463)),f318(f318(f75(x79461),x79464),x79465)))
% 182.43/182.08 [7947]~P88(x79471)+~P1(f318(f318(f226(x79471),x79472),x79474))+~P1(f318(f318(f227(x79471),x79473),x79475))+P1(f318(f318(f227(x79471),f318(f318(f75(x79471),x79472),x79473)),f318(f318(f75(x79471),x79474),x79475)))
% 182.43/182.08 [7948]~P88(x79481)+~P1(f318(f318(f227(x79481),x79483),x79485))+~P1(f318(f318(f227(x79481),x79482),x79484))+P1(f318(f318(f227(x79481),f318(f318(f75(x79481),x79482),x79483)),f318(f318(f75(x79481),x79484),x79485)))
% 182.43/182.08 [7949]~P111(x79491)+~P1(f318(f318(f278(x79491),x79493),x79495))+~P1(f318(f318(f278(x79491),x79492),x79494))+P1(f318(f318(f278(x79491),f318(f318(f76(x79491),x79492),x79493)),f318(f318(f76(x79491),x79494),x79495)))
% 182.43/182.08 [8085]~P145(x80855)+E(x80851,x80852)+E(x80853,x80854)+~E(f318(f318(f75(x80855),f318(f318(f76(x80855),x80853),x80851)),f318(f318(f76(x80855),x80854),x80852)),f318(f318(f75(x80855),f318(f318(f76(x80855),x80853),x80852)),f318(f318(f76(x80855),x80854),x80851)))
% 182.43/182.08 [8289]~P82(x82894)+~P1(f318(f128(x82891),x82893))+P1(f318(f318(f320(x82891),x82892),f318(f163(x82891),x82893)))+P1(f318(f128(x82891),f318(f318(f139(x82891,x82894,x82895),x82892),x82893)))
% 182.43/182.08 [8436]~P67(x84361)+E(f318(f318(f23(x84361),f318(f318(f6(a898,x84361),x84362),f318(f293(a898,x84363),x84364))),f318(f318(f6(a898,x84361),x84362),f318(f293(a898,x84363),x84365))),f318(f318(f6(a898,x84361),x84362),f318(f293(a898,x84365),x84364)))+~P1(f318(f318(f226(a898),x84365),x84364))+~P1(f318(f318(f226(a898),x84363),x84365))
% 182.43/182.08 [8437]~P74(x84371)+E(f318(f318(f75(x84371),f318(f318(f6(a898,x84371),x84372),f318(f293(a898,x84373),x84374))),f318(f318(f6(a898,x84371),x84372),f318(f293(a898,x84374),x84375))),f318(f318(f6(a898,x84371),x84372),f318(f293(a898,x84373),x84375)))+~P1(f318(f318(f226(a898),x84374),x84375))+~P1(f318(f318(f226(a898),x84373),x84374))
% 182.43/182.08 [8766]~P61(x87662)+E(x87661,f2(x87662))+E(x87663,f2(x87662))+E(f318(f318(f282(x87662),f318(f318(f23(x87662),f318(f318(f76(x87662),x87664),x87661)),f318(f318(f76(x87662),x87665),x87663))),f318(f318(f76(x87662),x87663),x87661)),f318(f318(f23(x87662),f318(f318(f282(x87662),x87664),x87663)),f318(f318(f282(x87662),x87665),x87661)))
% 182.43/182.08 [8767]~P61(x87672)+E(x87671,f2(x87672))+E(x87673,f2(x87672))+E(f318(f318(f282(x87672),f318(f318(f75(x87672),f318(f318(f76(x87672),x87674),x87671)),f318(f318(f76(x87672),x87675),x87673))),f318(f318(f76(x87672),x87673),x87671)),f318(f318(f75(x87672),f318(f318(f282(x87672),x87674),x87673)),f318(f318(f282(x87672),x87675),x87671)))
% 182.43/182.08 [8776]~E(x87762,f318(x87763,x87761))+E(x87761,f482(x87762,x87763,x87764,x87765))+~P24(x87765,x87764,x87763,f233(f905(x87765,a894)))+~P1(f318(f318(f320(x87764),x87762),f318(f301(x87765,x87764,x87763),f233(f905(x87765,a894)))))
% 182.43/182.08 [8993]~P110(x89931)+~P1(f318(f318(f227(x89931),f318(f70(x89931),x89932)),x89934))+P1(f318(f318(f227(x89931),f318(f318(f76(x89931),f318(f70(x89931),x89932)),f318(f70(x89931),x89933))),f318(f318(f76(x89931),x89934),x89935)))+~P1(f318(f318(f227(x89931),f318(f70(x89931),x89933)),x89935))
% 182.43/182.08 [9108]~P24(x91081,x91083,x91085,x91082)+~P1(f318(f28(x91083),x91084))+P1(f318(f318(f226(a898),f318(f29(x91081),x91082)),f318(f29(x91083),x91084)))+~P1(f318(f318(f226(f905(x91083,a894)),f318(f301(x91081,x91083,x91085),x91082)),x91084))
% 182.43/182.08 [9175]~P74(x91752)+~P24(x91751,x91751,x91754,x91755)+~P1(f318(f28(x91751),x91755))+E(f318(f318(f6(x91751,x91752),f318(f67(x91751,x91752,x91751,x91753),x91754)),x91755),f318(f318(f6(x91751,x91752),x91753),f318(f301(x91751,x91751,x91754),x91755)))
% 182.43/182.08 [9176]~P75(x91762)+~P24(x91761,x91761,x91764,x91765)+~P1(f318(f28(x91761),x91765))+E(f318(f318(f9(x91761,x91762),f318(f67(x91761,x91762,x91761,x91763),x91764)),x91765),f318(f318(f9(x91761,x91762),x91763),f318(f301(x91761,x91761,x91764),x91765)))
% 182.43/182.08 [9295]~P36(x92951,x92952)+~P1(f318(f318(f320(x92951),x92953),x92954))+~P1(f318(f318(f320(x92951),x92955),x92954))+~P1(f318(f318(f320(f904(x92951,x92951)),f318(f318(f243(x92951,x92951),x92955),f604(x92952,x92951,x92954))),x92952))
% 182.43/182.08 [9332]~P24(x93322,x93323,x93325,x93321)+E(x93321,f179(f905(x93322,a894)))+E(f318(f301(x93323,x93322,f484(x93324,x93323,x93322,x93321)),x93324),x93321)+~P1(f318(f318(f226(f905(x93323,a894)),f318(f301(x93322,x93323,x93325),x93321)),x93324))
% 182.43/182.08 [9826]~P82(x98265)+~P5(x98265)+P1(f318(f318(f320(x98261),f410(x98262,x98263,x98261,x98264,x98265)),x98263))+~P1(f318(f318(f227(x98265),x98264),f318(f318(f34(x98261,x98265),x98263),x98262)))
% 182.43/182.08 [9831]~P82(x98311)+~P5(x98311)+P1(f318(f318(f227(x98311),x98312),f318(x98313,f410(x98313,x98314,x98315,x98312,x98311))))+~P1(f318(f318(f227(x98311),x98312),f318(f318(f34(x98315,x98311),x98314),x98313)))
% 182.43/182.08 [9909]~P71(x99091)+~P1(f318(f60(x99091,x99091,f76(x99091),x99092,x99093),x99095))+P1(f318(f318(f320(x99091),x99092),x99093))+P1(f318(f60(x99091,x99091,f76(x99091),x99094,f318(f318(f300(x99091),x99092),x99093)),f318(f318(f76(x99091),x99094),x99095)))
% 182.43/182.08 [10121]~P74(x101212)+~P1(f318(f28(x101211),x101215))+E(f318(f318(f6(x101211,x101212),f318(f318(f7(x101211,x101212,x101212),f318(f318(f18(x101211,x101212,f905(x101212,x101212)),f318(f318(f8(a894,f905(x101212,f905(x101212,x101212)),x101211),f87(x101212)),f318(a315,x101213))),x101214)),f2(x101212))),x101215),f2(x101212))+P1(f318(f318(f320(x101211),x101213),x101215))
% 182.43/182.08 [10122]~P75(x101222)+~P1(f318(f28(x101221),x101225))+E(f318(f318(f9(x101221,x101222),f318(f318(f7(x101221,x101222,x101222),f318(f318(f18(x101221,x101222,f905(x101222,x101222)),f318(f318(f8(a894,f905(x101222,f905(x101222,x101222)),x101221),f87(x101222)),f318(a315,x101223))),x101224)),f73(x101222))),x101225),f73(x101222))+P1(f318(f318(f320(x101221),x101223),x101225))
% 182.43/182.08 [10123]~P74(x101232)+~P1(f318(f28(x101231),x101235))+E(f318(f318(f6(x101231,x101232),f318(f318(f7(x101231,x101232,x101232),f318(f318(f18(x101231,x101232,f905(x101232,x101232)),f318(f318(f8(a894,f905(x101232,f905(x101232,x101232)),x101231),f87(x101232)),f318(a315,x101233))),x101234)),f2(x101232))),x101235),f318(x101234,x101233))+~P1(f318(f318(f320(x101231),x101233),x101235))
% 182.43/182.08 [10124]~P75(x101242)+~P1(f318(f28(x101241),x101245))+E(f318(f318(f9(x101241,x101242),f318(f318(f7(x101241,x101242,x101242),f318(f318(f18(x101241,x101242,f905(x101242,x101242)),f318(f318(f8(a894,f905(x101242,f905(x101242,x101242)),x101241),f87(x101242)),f318(a315,x101243))),x101244)),f73(x101242))),x101245),f318(x101244,x101243))+~P1(f318(f318(f320(x101241),x101243),x101245))
% 182.43/182.08 [10181]~P74(x101812)+~P1(f318(f28(x101811),x101815))+E(f318(f318(f6(x101811,x101812),f318(f318(f7(x101811,x101812,x101812),f318(f318(f18(x101811,x101812,f905(x101812,x101812)),f318(f318(f8(a894,f905(x101812,f905(x101812,x101812)),x101811),f87(x101812)),f318(f318(f7(x101811,x101811,a894),a315),x101813))),x101814)),f2(x101812))),x101815),f2(x101812))+P1(f318(f318(f320(x101811),x101813),x101815))
% 182.43/182.08 [10182]~P75(x101822)+~P1(f318(f28(x101821),x101825))+E(f318(f318(f9(x101821,x101822),f318(f318(f7(x101821,x101822,x101822),f318(f318(f18(x101821,x101822,f905(x101822,x101822)),f318(f318(f8(a894,f905(x101822,f905(x101822,x101822)),x101821),f87(x101822)),f318(f318(f7(x101821,x101821,a894),a315),x101823))),x101824)),f73(x101822))),x101825),f73(x101822))+P1(f318(f318(f320(x101821),x101823),x101825))
% 182.43/182.08 [10184]~P74(x101842)+~P1(f318(f28(x101841),x101845))+E(f318(f318(f6(x101841,x101842),f318(f318(f7(x101841,x101842,x101842),f318(f318(f18(x101841,x101842,f905(x101842,x101842)),f318(f318(f8(a894,f905(x101842,f905(x101842,x101842)),x101841),f87(x101842)),f318(f318(f7(x101841,x101841,a894),a315),x101843))),x101844)),f2(x101842))),x101845),f318(x101844,x101843))+~P1(f318(f318(f320(x101841),x101843),x101845))
% 182.43/182.08 [10185]~P75(x101852)+~P1(f318(f28(x101851),x101855))+E(f318(f318(f9(x101851,x101852),f318(f318(f7(x101851,x101852,x101852),f318(f318(f18(x101851,x101852,f905(x101852,x101852)),f318(f318(f8(a894,f905(x101852,f905(x101852,x101852)),x101851),f87(x101852)),f318(f318(f7(x101851,x101851,a894),a315),x101853))),x101854)),f73(x101852))),x101855),f318(x101854,x101853))+~P1(f318(f318(f320(x101851),x101853),x101855))
% 182.43/182.08 [7940]~P67(x79402)+~P1(f318(f28(x79401),x79404))+E(f318(f318(f6(x79401,x79402),x79403),f318(f318(f23(f905(x79401,a894)),x79404),f318(f318(f300(x79401),x79405),f179(f905(x79401,a894))))),f318(f318(f6(x79401,x79402),x79403),x79404))+P1(f318(f318(f320(x79401),x79405),x79404))
% 182.43/182.08 [8444]~P128(x84442)+~P1(f318(f28(x84441),x84444))+E(f318(f318(f6(x84441,x84442),x84443),f318(f318(f23(f905(x84441,a894)),x84444),f318(f318(f300(x84441),x84445),f179(f905(x84441,a894))))),f318(f318(f23(x84442),f318(f318(f6(x84441,x84442),x84443),x84444)),f318(x84443,x84445)))+~P1(f318(f318(f320(x84441),x84445),x84444))
% 182.43/182.08 [8445]~P67(x84452)+~P1(f318(f28(x84451),x84454))+E(f318(f318(f6(x84451,x84452),x84453),f318(f318(f23(f905(x84451,a894)),x84454),f318(f318(f300(x84451),x84455),f179(f905(x84451,a894))))),f318(f318(f23(x84452),f318(f318(f6(x84451,x84452),x84453),x84454)),f318(x84453,x84455)))+~P1(f318(f318(f320(x84451),x84455),x84454))
% 182.43/182.08 [8457]~P111(x84571)+~P1(f318(f318(f226(a898),x84573),x84575))+~P1(f318(f318(f278(x84571),f318(f318(f235(x84571),x84572),x84575)),x84574))+P1(f318(f318(f278(x84571),f318(f318(f235(x84571),x84572),x84573)),x84574))
% 182.43/182.08 [8475]~P67(x84751)+~P1(f318(f28(x84752),x84754))+E(f318(f318(f23(x84751),f318(f318(f6(x84752,x84751),x84753),x84754)),f318(f318(f6(x84752,x84751),x84753),x84755)),f318(f318(f6(x84752,x84751),x84753),f318(f318(f23(f905(x84752,a894)),x84754),x84755)))+~P1(f318(f318(f226(f905(x84752,a894)),x84755),x84754))
% 182.43/182.08 [8494]P1(f318(f28(x84941),f318(x84942,x84943)))+~P1(f318(f28(x84944),x84945))+~P1(f318(f318(f320(x84944),x84943),x84945))+~P1(f318(f28(x84941),f318(f318(f34(x84944,f905(x84941,a894)),x84945),x84942)))
% 182.43/182.08 [8949]~P8(x89491,x89495,x89494)+~E(f318(f276(x89491,x89491,x89494),f318(f318(f300(x89491),x89492),f179(f905(x89491,a894)))),f318(f276(x89491,x89491,x89494),f318(f318(f300(x89491),x89493),f179(f905(x89491,a894)))))+~P1(f318(f318(f320(x89491),x89493),x89495))+P1(f318(f318(f320(f904(x89491,x89491)),f318(f318(f243(x89491,x89491),x89492),x89493)),x89494))
% 182.43/182.08 [9251]~P1(f318(x92511,x92515))+P1(f318(x92511,f489(x92511,x92512,x92513,x92514)))+P1(f318(x92511,f480(x92511,x92512,x92513,x92514)))+~P1(f318(f318(f320(x92514),x92515),f318(f318(f101(f905(x92514,a894)),x92513),x92512)))
% 182.43/182.08 [9439]~P1(f318(x94391,x94395))+P1(f318(x94391,f480(x94391,x94392,x94393,x94394)))+P1(f318(f318(f320(x94394),f489(x94391,x94392,x94393,x94394)),x94392))+~P1(f318(f318(f320(x94394),x94395),f318(f318(f101(f905(x94394,a894)),x94393),x94392)))
% 182.43/182.08 [9440]~P1(f318(x94401,x94405))+P1(f318(x94401,f489(x94401,x94402,x94403,x94404)))+P1(f318(f318(f320(x94404),f480(x94401,x94402,x94403,x94404)),x94403))+~P1(f318(f318(f320(x94404),x94405),f318(f318(f101(f905(x94404,a894)),x94403),x94402)))
% 182.43/182.08 [9444]P1(f318(x94441,x94442))+~P1(f318(x94441,f532(x94441,x94443,x94444,x94445)))+~P1(f318(x94441,f520(x94441,x94443,x94444,x94445)))+~P1(f318(f318(f320(x94445),x94442),f318(f318(f101(f905(x94445,a894)),x94444),x94443)))
% 182.43/182.08 [9449]~P37(x94491,x94494)+~P1(f318(f318(f320(f904(x94491,x94491)),f318(f318(f243(x94491,x94491),x94492),x94495)),x94494))+P1(f318(f318(f320(f904(x94491,x94491)),f318(f318(f243(x94491,x94491),x94492),x94493)),x94494))+~P1(f318(f318(f320(f904(x94491,x94491)),f318(f318(f243(x94491,x94491),x94495),x94493)),x94494))
% 182.43/182.08 [9488]E(x94881,x94882)+~P1(f318(f318(f320(f904(x94883,x94883)),f318(f318(f243(x94883,x94883),x94881),x94882)),f298(x94883,x94885)))+P1(f318(f318(f320(x94883),x94881),x94884))+~P1(f318(f318(f226(f905(f904(x94883,x94883),a894)),x94885),f318(f318(f245(x94883,x94883),x94884),f318(f16(f905(x94883,a894),x94883),x94884))))
% 182.43/182.08 [9506]P1(f318(x95061,x95062))+~P1(f318(x95061,f520(x95061,x95064,x95065,x95063)))+P1(f318(f318(f320(x95063),f532(x95061,x95064,x95065,x95063)),x95064))+~P1(f318(f318(f320(x95063),x95062),f318(f318(f101(f905(x95063,a894)),x95065),x95064)))
% 182.43/182.08 [9507]P1(f318(x95071,x95072))+~P1(f318(x95071,f532(x95071,x95074,x95075,x95073)))+P1(f318(f318(f320(x95073),f520(x95071,x95074,x95075,x95073)),x95075))+~P1(f318(f318(f320(x95073),x95072),f318(f318(f101(f905(x95073,a894)),x95075),x95074)))
% 182.43/182.08 [9575]P1(f318(x95751,x95752))+P1(f318(f318(f320(x95753),f532(x95751,x95754,x95755,x95753)),x95754))+P1(f318(f318(f320(x95753),f520(x95751,x95754,x95755,x95753)),x95755))+~P1(f318(f318(f320(x95753),x95752),f318(f318(f101(f905(x95753,a894)),x95755),x95754)))
% 182.43/182.08 [9577]~P1(f318(x95772,x95775))+P1(f318(f318(f320(x95771),f489(x95772,x95773,x95774,x95771)),x95773))+P1(f318(f318(f320(x95771),f480(x95772,x95773,x95774,x95771)),x95774))+~P1(f318(f318(f320(x95771),x95775),f318(f318(f101(f905(x95771,a894)),x95774),x95773)))
% 182.43/182.08 [9733]~P8(x97331,x97335,x97334)+~P1(f318(f318(f320(x97331),x97333),x97335))+P1(f318(f318(f320(f904(x97331,x97331)),f318(f318(f243(x97331,x97331),x97332),x97333)),x97334))+~P1(f318(f318(f226(f905(x97331,a894)),f318(f276(x97331,x97331,x97334),f318(f318(f300(x97331),x97333),f179(f905(x97331,a894))))),f318(f276(x97331,x97331,x97334),f318(f318(f300(x97331),x97332),f179(f905(x97331,a894))))))
% 182.43/182.08 [9860]~P82(x98605)+~P5(x98605)+P1(f318(f318(f320(x98601),f588(x98602,x98603,x98604,x98601,x98605)),x98604))+~P1(f318(f318(f227(x98605),f318(f318(f35(x98601,x98605),x98604),x98603)),x98602))
% 182.43/182.08 [9892]~P86(x98925)+~P79(x98925)+P1(f318(f318(f320(x98921),f675(x98922,x98923,x98924,x98921,x98925)),f318(f163(x98921),x98924)))+P1(f318(f318(f226(x98925),f318(f156(x98925),f318(f318(f145(x98921,x98925),x98923),x98924))),f318(f156(x98925),f318(f318(f145(x98921,x98925),x98922),x98924))))
% 182.43/182.08 [10000]~P82(x100001)+~P5(x100001)+P1(f318(f318(f227(x100001),f318(x100002,f588(x100003,x100002,x100004,x100005,x100001))),x100003))+~P1(f318(f318(f227(x100001),f318(f318(f35(x100005,x100001),x100004),x100002)),x100003))
% 182.43/182.08 [10139]~P86(x101391)+~P79(x101391)+~P1(f318(f318(f226(x101391),f318(x101393,f675(x101395,x101393,x101394,x101392,x101391))),f318(x101395,f675(x101395,x101393,x101394,x101392,x101391))))+P1(f318(f318(f226(x101391),f318(f156(x101391),f318(f318(f145(x101392,x101391),x101393),x101394))),f318(f156(x101391),f318(f318(f145(x101392,x101391),x101395),x101394))))
% 182.43/182.08 [8789]~P74(x87891)+~P1(f318(f28(x87894),x87895))+~P1(f318(f318(f320(x87894),x87893),x87895))+E(f318(f318(f75(x87891),f318(x87892,x87893)),f318(f318(f6(x87894,x87891),x87892),f318(f318(f23(f905(x87894,a894)),x87895),f318(f318(f300(x87894),x87893),f179(f905(x87894,a894)))))),f318(f318(f6(x87894,x87891),x87892),x87895))
% 182.43/182.08 [8790]~P75(x87901)+~P1(f318(f28(x87904),x87905))+~P1(f318(f318(f320(x87904),x87903),x87905))+E(f318(f318(f76(x87901),f318(x87902,x87903)),f318(f318(f9(x87904,x87901),x87902),f318(f318(f23(f905(x87904,a894)),x87905),f318(f318(f300(x87904),x87903),f179(f905(x87904,a894)))))),f318(f318(f9(x87904,x87901),x87902),x87905))
% 182.43/182.08 [8850]~P18(x88501,x88504,x88505)+~P1(f318(f28(x88501),x88502))+E(f318(f318(f23(f905(x88501,a894)),x88502),f318(f318(f300(x88501),x88503),f179(f905(x88501,a894)))),f179(f905(x88501,a894)))+E(f318(f318(x88504,x88503),f318(x88505,f318(f318(f23(f905(x88501,a894)),x88502),f318(f318(f300(x88501),x88503),f179(f905(x88501,a894)))))),f318(x88505,f318(f318(f300(x88501),x88503),x88502)))
% 182.43/182.08 [9229]~P74(x92291)+~P1(f318(f28(x92292),x92295))+~P1(f318(f28(x92292),x92294))+E(f318(f318(f75(x92291),f318(f318(f6(x92292,x92291),x92293),f318(f318(f101(f905(x92292,a894)),x92294),x92295))),f318(f318(f6(x92292,x92291),x92293),f318(f318(f92(f905(x92292,a894)),x92294),x92295))),f318(f318(f75(x92291),f318(f318(f6(x92292,x92291),x92293),x92294)),f318(f318(f6(x92292,x92291),x92293),x92295)))
% 182.43/182.08 [9231]~P75(x92311)+~P1(f318(f28(x92312),x92315))+~P1(f318(f28(x92312),x92314))+E(f318(f318(f76(x92311),f318(f318(f9(x92312,x92311),x92313),f318(f318(f101(f905(x92312,a894)),x92314),x92315))),f318(f318(f9(x92312,x92311),x92313),f318(f318(f92(f905(x92312,a894)),x92314),x92315))),f318(f318(f76(x92311),f318(f318(f9(x92312,x92311),x92313),x92314)),f318(f318(f9(x92312,x92311),x92313),x92315)))
% 182.43/182.08 [9372]~P67(x93721)+~P1(f318(f28(x93722),x93725))+~P1(f318(f28(x93722),x93724))+E(f318(f318(f23(x93721),f318(f318(f75(x93721),f318(f318(f6(x93722,x93721),x93723),x93724)),f318(f318(f6(x93722,x93721),x93723),x93725))),f318(f318(f6(x93722,x93721),x93723),f318(f318(f92(f905(x93722,a894)),x93724),x93725))),f318(f318(f6(x93722,x93721),x93723),f318(f318(f101(f905(x93722,a894)),x93724),x93725)))
% 182.43/182.08 [9591]~P24(x95911,x95912,x95913,x95915)+~P24(x95911,x95912,x95913,x95914)+P24(x95911,x95912,x95913,f318(f318(f101(f905(x95911,a894)),x95914),x95915))+~E(f318(f318(f92(f905(x95912,a894)),f318(f301(x95911,x95912,x95913),f318(f318(f23(f905(x95911,a894)),x95914),x95915))),f318(f301(x95911,x95912,x95913),f318(f318(f23(f905(x95911,a894)),x95915),x95914))),f179(f905(x95912,a894)))
% 182.43/182.08 [9708]E(x97081,f2(a1))+~P1(f318(f318(f227(a1),f2(a1)),x97083))+~P1(f318(f44(x97082,x97081),f318(f318(f243(a1,a1),x97084),x97085)))+P1(f318(f44(x97082,f318(f318(f76(a1),x97081),x97083)),f318(f318(f243(a1,a1),f318(f318(f30(a1),x97084),x97083)),f318(f318(f75(a1),f318(f318(f76(a1),x97081),f40(a1,x97084,x97083))),x97085))))
% 182.43/182.08 [9716]~P1(f318(f318(f227(a898),f2(a898)),x97163))+~P1(f318(f318(f227(a898),f2(a898)),x97162))+~P1(f318(f43(x97161,x97162),f318(f318(f243(a898,a898),x97164),x97165)))+P1(f318(f43(x97161,f318(f318(f76(a898),x97162),x97163)),f318(f318(f243(a898,a898),f318(f318(f30(a898),x97164),x97163)),f318(f318(f75(a898),f318(f318(f76(a898),x97162),f40(a898,x97164,x97163))),x97165))))
% 182.43/182.08 [9765]~P75(x97651)+~P1(f318(f28(x97652),x97655))+~P1(f318(f28(x97652),x97654))+E(f318(f318(f76(x97651),f318(f318(f318(f59(x97651,x97652,f76(x97651)),x97653),f73(x97651)),f318(f318(f101(f905(x97652,a894)),x97654),x97655))),f318(f318(f318(f59(x97651,x97652,f76(x97651)),x97653),f73(x97651)),f318(f318(f92(f905(x97652,a894)),x97654),x97655))),f318(f318(f76(x97651),f318(f318(f318(f59(x97651,x97652,f76(x97651)),x97653),f73(x97651)),x97654)),f318(f318(f318(f59(x97651,x97652,f76(x97651)),x97653),f73(x97651)),x97655)))
% 182.43/182.08 [9767]~E(f318(f318(f166(x97671),x97675),x97672),f318(f318(f166(x97671),x97675),x97673))+P1(f318(f318(f320(f904(f899(x97671),f899(x97671))),f318(f318(f243(f899(x97671),f899(x97671)),x97672),x97673)),f138(x97671,x97674)))+~P1(f318(f318(f227(a898),x97675),f318(f318(f224(a898),f318(f180(f899(x97671)),x97672)),f318(f180(f899(x97671)),x97673))))+~P1(f318(f318(f320(f904(x97671,x97671)),f318(f318(f243(x97671,x97671),f318(f318(f155(x97671),x97672),x97675)),f318(f318(f155(x97671),x97673),x97675))),x97674))
% 182.43/182.08 [9881]~P86(x98815)+~P144(x98815)+P1(f318(f318(f320(x98811),f876(x98812,x98813,x98814,x98811,x98815)),x98814))+P1(f318(f318(f226(x98815),f318(f318(f6(x98811,x98815),x98813),x98814)),f318(f318(f76(x98815),f318(f91(x98815),f318(f29(x98811),x98814))),x98812)))
% 182.43/182.08 [10057]~P86(x100571)+~P144(x100571)+~P1(f318(f318(f226(x100571),f318(x100573,f876(x100575,x100573,x100574,x100572,x100571))),x100575))+P1(f318(f318(f226(x100571),f318(f318(f6(x100572,x100571),x100573),x100574)),f318(f318(f76(x100571),f318(f91(x100571),f318(f29(x100572),x100574))),x100575)))
% 182.43/182.08 [8818]E(f318(f318(f125(x88181),x88182),x88183),f318(f318(f125(x88181),x88184),x88185))+~E(f318(f318(f166(x88181),f318(f180(f899(x88181)),x88182)),x88184),x88182)+~E(f318(f318(f125(x88181),f318(f318(f129(x88181),f318(f180(f899(x88181)),x88182)),x88184)),x88185),x88183)+P1(f318(f318(f226(a898),f318(f180(f899(x88181)),x88184)),f318(f180(f899(x88181)),x88182)))
% 182.43/182.08 [8948]E(f318(f318(f125(x89481),x89482),x89483),f318(f318(f125(x89481),x89484),x89485))+~E(f318(f318(f166(x89481),f318(f180(f899(x89481)),x89482)),x89484),x89482)+~E(x89483,f318(f318(f125(x89481),f318(f318(f129(x89481),f318(f180(f899(x89481)),x89482)),x89484)),x89485))+~P1(f318(f318(f226(a898),f318(f180(f899(x89481)),x89482)),f318(f180(f899(x89481)),x89484)))
% 182.43/182.08 [10202]~P1(f318(x102025,x102024))+~P1(f318(f28(x102022),f318(f253(x102022),x102025)))+P1(f318(f28(x102021),f318(f253(x102021),f318(f318(f7(x102021,x102022,a894),x102023),x102024))))+~P1(f318(f28(x102021),f318(f253(x102021),f318(f318(f8(f905(x102022,a894),a894,x102021),f82(x102022)),f318(f318(f8(f905(x102022,a894),f905(x102022,a894),x102021),f318(f18(x102022,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102022),a316),x102025))),x102023)))))
% 182.43/182.08 [10278]~P1(f318(f28(x102782),x102785))+~P1(f318(f318(f320(x102782),x102784),x102785))+P1(f318(f28(x102781),f318(f253(x102781),f318(f318(f7(x102781,x102782,a894),x102783),x102784))))+~P1(f318(f28(x102781),f318(f253(x102781),f318(f318(f8(f905(x102782,a894),a894,x102781),f82(x102782)),f318(f318(f8(f905(x102782,a894),f905(x102782,a894),x102781),f318(f18(x102782,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102782),a316),f318(f318(f7(x102782,f905(x102782,a894),a894),f320(x102782)),x102785)))),x102783)))))
% 182.43/182.08 [8604]~P19(x86045,x86041,x86046,x86042)+E(f318(f67(x86041,x86041,x86041,f318(x86042,x86043)),f318(x86042,x86044)),f318(f67(x86041,x86041,x86041,f318(x86042,x86044)),f318(x86042,x86043)))+~P1(f318(f28(x86045),x86044))+~P1(f318(f28(x86045),x86043))
% 182.43/182.08 [7996]~P24(x79961,x79962,x79964,x79963)+~E(f318(x79964,x79966),x79965)+E(f318(f72(x79961,x79962,x79963,x79964),x79965),x79966)+~P1(f318(f318(f320(x79961),x79966),x79963))
% 182.43/182.08 [7997]~P24(x79971,x79972,x79974,x79973)+~E(f318(x79974,x79976),x79975)+E(f318(f86(x79971,x79972,x79973,x79974),x79975),x79976)+~P1(f318(f318(f320(x79971),x79976),x79973))
% 182.43/182.08 [8190]~P20(x81906,x81901,x81904,x81902)+E(f318(f67(x81901,x81901,x81901,f318(x81902,x81903)),f318(x81904,x81905)),f318(x81902,x81903))+~P1(f318(f28(x81906),x81903))+~P1(f318(f318(f320(x81906),x81905),x81903))
% 182.43/182.08 [9323]E(x93231,x93232)+~E(f318(f86(x93233,x93234,x93235,x93236),x93231),f318(f86(x93233,x93234,x93235,x93236),x93232))+~P1(f318(f318(f320(x93234),x93232),f318(f301(x93233,x93234,x93236),x93235)))+~P1(f318(f318(f320(x93234),x93231),f318(f301(x93233,x93234,x93236),x93235)))
% 182.43/182.08 [9423]~P19(x94233,x94231,x94236,x94232)+E(f318(f67(x94231,x94231,x94231,f318(x94232,f318(f318(f23(f905(x94233,a894)),x94234),f318(f318(f300(x94233),x94235),f179(f905(x94233,a894)))))),f318(x94236,x94235)),f318(x94232,x94234))+~P1(f318(f28(x94233),x94234))+~P1(f318(f318(f320(x94233),x94235),x94234))
% 182.43/182.08 [7078]~P4(x70781)+~E(f40(x70781,x70783,x70784),f40(x70781,x70786,x70784))+~E(f40(x70781,x70782,x70784),f40(x70781,x70785,x70784))+E(f40(x70781,f318(f318(f23(x70781),x70782),x70783),x70784),f40(x70781,f318(f318(f23(x70781),x70785),x70786),x70784))
% 182.43/182.08 [7079]~P3(x70791)+~E(f40(x70791,x70793,x70794),f40(x70791,x70796,x70794))+~E(f40(x70791,x70792,x70794),f40(x70791,x70795,x70794))+E(f40(x70791,f318(f318(f75(x70791),x70792),x70793),x70794),f40(x70791,f318(f318(f75(x70791),x70795),x70796),x70794))
% 182.43/182.08 [7080]~P3(x70801)+~E(f40(x70801,x70803,x70804),f40(x70801,x70806,x70804))+~E(f40(x70801,x70802,x70804),f40(x70801,x70805,x70804))+E(f40(x70801,f318(f318(f76(x70801),x70802),x70803),x70804),f40(x70801,f318(f318(f76(x70801),x70805),x70806),x70804))
% 182.43/182.08 [7891]~P16(x78911,x78912,x78913)+~P1(f318(f28(x78911),x78916))+E(f318(f318(f58(x78911,x78912,x78913),x78914),f318(f318(f300(x78911),x78915),x78916)),f318(f318(f58(x78911,x78912,x78913),f318(f318(x78913,x78915),x78914)),x78916))+P1(f318(f318(f320(x78911),x78915),x78916))
% 182.43/182.08 [7955]~P5(x79551)+P1(f318(f318(f226(x79551),x79552),f318(x79553,x79554)))+~P1(f318(f318(f320(x79555),x79554),x79556))+~P1(f318(f318(f226(x79551),x79552),f318(f318(f35(x79555,x79551),x79556),x79553)))
% 182.43/182.08 [8112]~P16(x81121,x81122,x81123)+~P1(f318(f28(x81121),x81126))+E(f318(f318(f58(x81121,x81122,x81123),x81124),f318(f318(f300(x81121),x81125),x81126)),f318(f318(x81123,x81125),f318(f318(f58(x81121,x81122,x81123),x81124),x81126)))+P1(f318(f318(f320(x81121),x81125),x81126))
% 182.43/182.08 [8208]~P82(x82083)+~P1(f318(x82082,x82085))+~P13(x82083,f318(f318(f145(x82081,x82083),x82084),x82086))+E(f318(f127(x82081,x82082),f318(f318(f139(x82081,x82083,x82084),x82085),x82086)),f318(f318(f139(x82081,x82083,x82084),x82085),f318(f127(x82081,x82082),x82086)))
% 182.43/182.08 [8231]E(x82311,x82312)+E(x82313,f2(a1))+~P1(f318(f44(x82314,x82313),f318(f318(f243(a1,a1),x82315),x82312)))+~P1(f318(f44(x82314,x82313),f318(f318(f243(a1,a1),x82316),x82311)))
% 182.43/182.08 [8232]E(x82321,x82322)+E(x82323,f2(a1))+~P1(f318(f44(x82324,x82323),f318(f318(f243(a1,a1),x82322),x82325)))+~P1(f318(f44(x82324,x82323),f318(f318(f243(a1,a1),x82321),x82326)))
% 182.43/182.08 [8255]~P19(x82552,x82555,x82556,x82551)+~P1(f318(f28(x82552),x82554))+E(f318(x82551,f318(f318(f300(x82552),x82553),x82554)),f318(f67(x82555,x82555,x82555,f318(x82551,x82554)),f318(x82556,x82553)))+P1(f318(f318(f320(x82552),x82553),x82554))
% 182.43/182.08 [8478]~P20(x84785,x84781,x84786,x84782)+E(f318(f67(x84781,x84781,x84781,f318(x84782,x84783)),f318(x84782,x84784)),f318(x84782,x84783))+~P1(f318(f28(x84785),x84783))+~P1(f318(f318(f226(f905(x84785,a894)),x84784),x84783))
% 182.43/182.08 [9638]~P24(x96381,x96382,x96384,x96383)+~P1(f318(f318(f320(x96382),x96385),f318(f301(x96381,x96382,x96384),x96383)))+P1(f318(f318(f320(x96381),f318(f72(x96381,x96382,x96383,x96384),x96385)),x96386))+~P1(f318(f318(f226(f905(x96381,a894)),x96383),x96386))
% 182.43/182.08 [10011]~P74(x100112)+~E(f537(x100111,x100113,x100115,x100116,x100114,x100112),f538(x100111,x100113,x100115,x100116,x100114,x100112))+~P1(f318(f28(x100114),x100116))+E(f318(f318(f6(x100111,x100112),x100113),f318(f301(x100114,x100111,x100115),x100116)),f318(f318(f6(x100114,x100112),f318(f67(x100111,x100112,x100114,x100113),x100115)),x100116))
% 182.43/182.08 [10039]~P74(x100396)+E(f318(x100391,f537(x100392,x100393,x100391,x100394,x100395,x100396)),f318(x100391,f538(x100392,x100393,x100391,x100394,x100395,x100396)))+E(f318(f318(f6(x100392,x100396),x100393),f318(f301(x100395,x100392,x100391),x100394)),f318(f318(f6(x100395,x100396),f318(f67(x100392,x100396,x100395,x100393),x100391)),x100394))+~P1(f318(f28(x100395),x100394))
% 182.43/182.08 [10089]~P74(x100892)+~E(f318(x100893,f318(x100895,f538(x100891,x100893,x100895,x100896,x100894,x100892))),f2(x100892))+~P1(f318(f28(x100894),x100896))+E(f318(f318(f6(x100891,x100892),x100893),f318(f301(x100894,x100891,x100895),x100896)),f318(f318(f6(x100894,x100892),f318(f67(x100891,x100892,x100894,x100893),x100895)),x100896))
% 182.43/182.08 [10147]~P74(x101472)+~P1(f318(f28(x101474),x101476))+E(f318(f318(f6(x101471,x101472),x101473),f318(f301(x101474,x101471,x101475),x101476)),f318(f318(f6(x101474,x101472),f318(f67(x101471,x101472,x101474,x101473),x101475)),x101476))+P1(f318(f318(f320(x101474),f538(x101471,x101473,x101475,x101476,x101474,x101472)),x101476))
% 182.43/182.08 [10148]~P74(x101482)+~P1(f318(f28(x101484),x101486))+E(f318(f318(f6(x101481,x101482),x101483),f318(f301(x101484,x101481,x101485),x101486)),f318(f318(f6(x101484,x101482),f318(f67(x101481,x101482,x101484,x101483),x101485)),x101486))+P1(f318(f318(f320(x101484),f537(x101481,x101483,x101485,x101486,x101484,x101482)),x101486))
% 182.43/182.08 [10277]~P75(x102771)+~P1(f318(f28(x102772),x102776))+E(f318(f318(f318(f59(x102771,x102772,f76(x102771)),f318(f318(f18(x102772,f905(x102773,a894),x102771),f318(f318(f7(x102772,x102771,f905(f905(x102773,a894),x102771)),f318(f318(f8(f905(x102773,x102771),f905(x102771,f905(f905(x102773,a894),x102771)),x102772),f59(x102771,x102773,f76(x102771))),x102774)),f73(x102771))),x102775)),f73(x102771)),x102776),f318(f318(f318(f59(x102771,f904(x102772,x102773),f76(x102771)),f318(f248(x102772,x102773,x102771),x102774)),f73(x102771)),f318(f318(f245(x102772,x102773),x102776),x102775)))+P1(f318(f318(f320(x102772),f509(x102774,x102775,x102773,x102776,x102772,x102771)),x102776))
% 182.43/182.08 [10299]~P75(x102991)+~P1(f318(f28(x102992),x102996))+E(f318(f318(f318(f59(x102991,x102992,f76(x102991)),f318(f318(f18(x102992,f905(x102993,a894),x102991),f318(f318(f7(x102992,x102991,f905(f905(x102993,a894),x102991)),f318(f318(f8(f905(x102993,x102991),f905(x102991,f905(f905(x102993,a894),x102991)),x102992),f59(x102991,x102993,f76(x102991))),x102994)),f73(x102991))),x102995)),f73(x102991)),x102996),f318(f318(f318(f59(x102991,f904(x102992,x102993),f76(x102991)),f318(f248(x102992,x102993,x102991),x102994)),f73(x102991)),f318(f318(f245(x102992,x102993),x102996),x102995)))+~P1(f318(f28(x102993),f318(x102995,f509(x102994,x102995,x102993,x102996,x102992,x102991))))
% 182.43/182.08 [8387]~P20(x83872,x83875,x83876,x83871)+~P1(f318(f28(x83872),x83874))+~P1(f318(f28(x83872),x83873))+E(f318(x83871,f318(f318(f101(f905(x83872,a894)),x83873),x83874)),f318(f67(x83875,x83875,x83875,f318(x83871,x83873)),f318(x83871,x83874)))
% 182.43/182.08 [8605]~P5(x86051)+P1(f318(f318(f226(x86051),f318(x86052,x86053)),x86054))+~P1(f318(f318(f320(x86055),x86053),x86056))+~P1(f318(f318(f226(x86051),f318(f318(f34(x86055,x86051),x86056),x86052)),x86054))
% 182.43/182.08 [9036]~P24(x90362,x90361,x90363,x90366)+E(f318(f318(f23(f905(x90361,a894)),f318(f301(x90362,x90361,x90363),x90364)),f318(f301(x90362,x90361,x90363),x90365)),f318(f301(x90362,x90361,x90363),f318(f318(f23(f905(x90362,a894)),x90364),x90365)))+~P1(f318(f318(f226(f905(x90362,a894)),x90365),x90366))+~P1(f318(f318(f226(f905(x90362,a894)),x90364),x90366))
% 182.43/182.08 [9037]~P24(x90372,x90371,x90373,x90376)+E(f318(f318(f92(f905(x90371,a894)),f318(f301(x90372,x90371,x90373),x90374)),f318(f301(x90372,x90371,x90373),x90375)),f318(f301(x90372,x90371,x90373),f318(f318(f92(f905(x90372,a894)),x90374),x90375)))+~P1(f318(f318(f226(f905(x90372,a894)),x90375),x90376))+~P1(f318(f318(f226(f905(x90372,a894)),x90374),x90376))
% 182.43/182.08 [9297]E(x92971,x92972)+~P53(x92973,x92974,x92975)+~P1(f318(f318(f320(f904(x92973,x92974)),f318(f318(f243(x92973,x92974),x92976),x92972)),x92975))+~P1(f318(f318(f320(f904(x92973,x92974)),f318(f318(f243(x92973,x92974),x92976),x92971)),x92975))
% 182.43/182.08 [10085]~P71(x100851)+~E(f318(x100853,f445(x100854,x100856,x100853,x100855,x100852,x100851)),f318(x100856,f445(x100854,x100856,x100853,x100855,x100852,x100851)))+~P1(f318(f28(x100852),x100855))+E(f318(f318(f318(f59(x100851,x100852,f76(x100851)),x100853),x100854),x100855),f318(f318(f318(f59(x100851,x100852,f76(x100851)),x100856),x100854),x100855))
% 182.43/182.08 [10145]~P71(x101451)+~P1(f318(f28(x101452),x101455))+E(f318(f318(f318(f59(x101451,x101452,f76(x101451)),x101453),x101454),x101455),f318(f318(f318(f59(x101451,x101452,f76(x101451)),x101456),x101454),x101455))+P1(f318(f318(f320(x101452),f445(x101454,x101453,x101456,x101455,x101452,x101451)),x101455))
% 182.43/182.08 [8832]~P71(x88321)+~P1(f318(f28(x88322),x88326))+P1(f318(f318(f320(x88322),x88325),x88326))+E(f318(f318(f318(f59(x88321,x88322,f76(x88321)),x88323),x88324),f318(f318(f300(x88322),x88325),x88326)),f318(f318(f76(x88321),f318(x88323,x88325)),f318(f318(f318(f59(x88321,x88322,f76(x88321)),x88323),x88324),x88326)))
% 182.43/182.08 [8885]~P8(x88851,x88856,x88853)+~P11(x88851,f905(x88852,a894),x88853,x88855)+~P1(f318(f318(f320(x88851),x88854),x88856))+E(f318(f318(f34(x88851,f905(x88852,a894)),f318(f276(x88851,x88851,x88853),f318(f318(f300(x88851),x88854),f179(f905(x88851,a894))))),x88855),f318(x88855,x88854))
% 182.43/182.08 [9011]~P16(x90113,x90114,x90111)+~P1(f318(f28(x90113),x90116))+~P1(f318(f318(f320(x90113),x90112),x90116))+E(f318(f318(x90111,x90112),f318(f318(f58(x90113,x90114,x90111),x90115),f318(f318(f23(f905(x90113,a894)),x90116),f318(f318(f300(x90113),x90112),f179(f905(x90113,a894)))))),f318(f318(f58(x90113,x90114,x90111),x90115),x90116))
% 182.43/182.08 [9307]~P19(x93073,x93071,x93076,x93072)+~P1(f318(f28(x93073),x93075))+~P1(f318(f28(x93073),x93074))+E(f318(f67(x93071,x93071,x93071,f318(x93072,f318(f318(f101(f905(x93073,a894)),x93074),x93075))),f318(x93072,f318(f318(f92(f905(x93073,a894)),x93074),x93075))),f318(f67(x93071,x93071,x93071,f318(x93072,x93074)),f318(x93072,x93075)))
% 182.43/182.08 [9661]~E(x96613,f318(f318(f150(x96611,x96612),x96615),x96616))+P1(f318(f318(f320(f904(f899(x96611),f899(x96611))),f318(f318(f243(f899(x96611),f899(x96611)),x96612),x96613)),f148(x96611,x96614)))+~P1(f318(f318(f227(a898),x96615),f318(f180(f899(x96611)),x96612)))+~P1(f318(f318(f320(f904(x96611,x96611)),f318(f318(f243(x96611,x96611),f318(f318(f155(x96611),x96612),x96615)),x96616)),x96614))
% 182.43/182.08 [10161]~P74(x101612)+~P1(f318(f28(x101611),x101616))+P1(f318(f318(f320(x101611),f507(x101614,x101615,x101613,x101616,x101611,x101612)),x101616))+E(f318(f318(f6(x101611,x101612),f318(f318(f18(x101611,f905(x101613,a894),x101612),f318(f318(f8(f905(x101613,x101612),f905(f905(x101613,a894),x101612),x101611),f6(x101613,x101612)),x101614)),x101615)),x101616),f318(f318(f6(f904(x101611,x101613),x101612),f318(f248(x101611,x101613,x101612),x101614)),f318(f318(f245(x101611,x101613),x101616),x101615)))
% 182.43/182.08 [10162]~P75(x101622)+~P1(f318(f28(x101621),x101626))+P1(f318(f318(f320(x101621),f508(x101624,x101625,x101623,x101626,x101621,x101622)),x101626))+E(f318(f318(f9(x101621,x101622),f318(f318(f18(x101621,f905(x101623,a894),x101622),f318(f318(f8(f905(x101623,x101622),f905(f905(x101623,a894),x101622),x101621),f9(x101623,x101622)),x101624)),x101625)),x101626),f318(f318(f9(f904(x101621,x101623),x101622),f318(f248(x101621,x101623,x101622),x101624)),f318(f318(f245(x101621,x101623),x101626),x101625)))
% 182.43/182.08 [10200]~P74(x102002)+~P1(f318(f28(x102001),x102006))+~P1(f318(f28(x102003),f318(x102005,f507(x102004,x102005,x102003,x102006,x102001,x102002))))+E(f318(f318(f6(x102001,x102002),f318(f318(f18(x102001,f905(x102003,a894),x102002),f318(f318(f8(f905(x102003,x102002),f905(f905(x102003,a894),x102002),x102001),f6(x102003,x102002)),x102004)),x102005)),x102006),f318(f318(f6(f904(x102001,x102003),x102002),f318(f248(x102001,x102003,x102002),x102004)),f318(f318(f245(x102001,x102003),x102006),x102005)))
% 182.43/182.08 [10201]~P75(x102012)+~P1(f318(f28(x102011),x102016))+~P1(f318(f28(x102013),f318(x102015,f508(x102014,x102015,x102013,x102016,x102011,x102012))))+E(f318(f318(f9(x102011,x102012),f318(f318(f18(x102011,f905(x102013,a894),x102012),f318(f318(f8(f905(x102013,x102012),f905(f905(x102013,a894),x102012),x102011),f9(x102013,x102012)),x102014)),x102015)),x102016),f318(f318(f9(f904(x102011,x102013),x102012),f318(f248(x102011,x102013,x102012),x102014)),f318(f318(f245(x102011,x102013),x102016),x102015)))
% 182.43/182.08 [10183]~P75(x101832)+~P1(f318(f28(x101831),x101836))+P1(f318(f318(f320(x101831),x101833),x101836))+E(f318(f318(f9(x101831,x101832),f318(f318(f7(x101831,x101832,x101832),f318(f318(f18(x101831,x101832,f905(x101832,x101832)),f318(f318(f8(a894,f905(x101832,f905(x101832,x101832)),x101831),f87(x101832)),f318(f318(f7(x101831,x101831,a894),a315),x101833))),x101834)),x101835)),x101836),f318(f318(f235(x101832),x101835),f318(f29(x101831),x101836)))
% 182.43/182.08 [10186]~P75(x101862)+~P1(f318(f28(x101861),x101866))+~P1(f318(f318(f320(x101861),x101863),x101866))+E(f318(f318(f9(x101861,x101862),f318(f318(f7(x101861,x101862,x101862),f318(f318(f18(x101861,x101862,f905(x101862,x101862)),f318(f318(f8(a894,f905(x101862,f905(x101862,x101862)),x101861),f87(x101862)),f318(f318(f7(x101861,x101861,a894),a315),x101863))),x101864)),x101865)),x101866),f318(f318(f76(x101862),f318(x101864,x101863)),f318(f318(f235(x101862),x101865),f318(f318(f23(a898),f318(f29(x101861),x101866)),f73(a898)))))
% 182.43/182.08 [10264]~P1(f318(f28(x102641),x102645))+~P1(f318(f28(x102642),x102643))+P1(f318(f318(f320(x102642),f397(x102646,x102644,x102643,x102642,x102645,x102641)),x102643))+E(f318(f318(f6(x102641,a898),f318(f318(f8(f905(x102642,a894),a898,x102641),f29(x102642)),f318(f318(f8(f905(x102642,a894),f905(x102642,a894),x102641),f253(x102642)),f318(f318(f8(f905(x102642,a894),f905(x102642,a894),x102641),f318(f18(x102642,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102642),a316),f318(f318(f7(x102642,f905(x102642,a894),a894),f320(x102642)),x102643)))),x102644)))),x102645),f318(f318(f76(a898),x102646),f318(f29(x102642),x102643)))
% 182.43/182.08 [10265]~P1(f318(f28(x102651),x102655))+~P1(f318(f28(x102652),x102653))+P1(f318(f318(f320(x102652),f398(x102656,x102654,x102653,x102652,x102655,x102651)),x102653))+E(f318(f318(f6(x102651,a898),f318(f318(f8(f905(x102652,a894),a898,x102651),f29(x102652)),f318(f318(f8(f905(x102652,a894),f905(x102652,a894),x102651),f253(x102652)),f318(f318(f8(f905(x102652,a894),f905(x102652,a894),x102651),f318(f18(x102652,a894,a894),f318(f318(f8(a894,f905(a894,a894),x102652),a316),f318(f318(f7(x102652,f905(x102652,a894),a894),f320(x102652)),x102653)))),x102654)))),x102655),f318(f318(f6(x102652,a898),x102656),x102653))
% 182.43/182.08 [10312]~P1(f318(f28(x103122),x103123))+~P1(f318(f28(x103121),x103125))+~E(f318(f29(x103121),f318(f253(x103121),f318(f318(f18(x103121,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103121),a316),f318(f318(f7(x103121,f905(x103121,a894),a894),f320(x103121)),x103125))),f318(f318(f7(x103121,x103122,a894),x103124),f397(x103126,x103124,x103123,x103122,x103125,x103121))))),x103126)+E(f318(f318(f6(x103121,a898),f318(f318(f8(f905(x103122,a894),a898,x103121),f29(x103122)),f318(f318(f8(f905(x103122,a894),f905(x103122,a894),x103121),f253(x103122)),f318(f318(f8(f905(x103122,a894),f905(x103122,a894),x103121),f318(f18(x103122,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103122),a316),f318(f318(f7(x103122,f905(x103122,a894),a894),f320(x103122)),x103123)))),x103124)))),x103125),f318(f318(f76(a898),x103126),f318(f29(x103122),x103123)))
% 182.43/182.08 [10314]~P1(f318(f28(x103142),x103143))+~P1(f318(f28(x103141),x103145))+~E(f318(f29(x103141),f318(f253(x103141),f318(f318(f18(x103141,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103141),a316),f318(f318(f7(x103141,f905(x103141,a894),a894),f320(x103141)),x103145))),f318(f318(f7(x103141,x103142,a894),x103144),f398(x103146,x103144,x103143,x103142,x103145,x103141))))),f318(x103146,f398(x103146,x103144,x103143,x103142,x103145,x103141)))+E(f318(f318(f6(x103141,a898),f318(f318(f8(f905(x103142,a894),a898,x103141),f29(x103142)),f318(f318(f8(f905(x103142,a894),f905(x103142,a894),x103141),f253(x103142)),f318(f318(f8(f905(x103142,a894),f905(x103142,a894),x103141),f318(f18(x103142,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103142),a316),f318(f318(f7(x103142,f905(x103142,a894),a894),f320(x103142)),x103143)))),x103144)))),x103145),f318(f318(f6(x103142,a898),x103146),x103143))
% 182.43/182.08 [9937]E(x99371,x99372)+~P16(x99373,x99374,x99375)+~P1(f318(f60(x99373,x99374,x99375,x99376,x99377),x99372))+~P1(f318(f60(x99373,x99374,x99375,x99376,x99377),x99371))
% 182.43/182.08 [9737]P1(f318(x97371,x97372))+~P1(f318(f318(f320(x97377),x97372),f318(x97376,x97374)))+~P1(f318(x97371,f407(x97371,x97376,x97375,x97373,x97377)))+~P1(f318(f318(f320(x97373),x97374),x97375))
% 182.43/182.08 [10175]~P16(x101757,x101756,x101751)+E(f318(f318(x101751,x101752),f592(x101752,x101753,x101754,x101755,x101751,x101756,x101757)),x101753)+~P1(f318(f60(x101757,x101756,x101751,x101755,x101754),x101753))+~P1(f318(f318(f320(x101757),x101752),x101754))
% 182.43/182.08 [10242]~P16(x102421,x102422,x102423)+~P1(f318(f60(x102421,x102422,x102423,x102424,x102425),x102427))+P1(f318(f60(x102421,x102422,x102423,x102424,f318(f318(f23(f905(x102421,a894)),x102425),f318(f318(f300(x102421),x102426),f179(f905(x102421,a894))))),f592(x102426,x102427,x102425,x102424,x102423,x102422,x102421)))+~P1(f318(f318(f320(x102421),x102426),x102425))
% 182.43/182.08 [9379]P25(x93791,x93792,x93793,x93794,x93795)+~P25(x93791,x93792,x93793,x93796,x93797)+~E(f318(f301(x93791,x93792,x93793),x93794),x93795)+~P1(f318(f318(f226(f905(x93791,a894)),x93794),x93796))
% 182.43/182.08 [9629]~P25(x96291,x96292,x96293,x96295,x96297)+~P25(x96291,x96292,x96293,x96294,x96296)+P25(x96291,x96292,x96293,f318(f318(f101(f905(x96291,a894)),x96294),x96295),f318(f318(f101(f905(x96292,a894)),x96296),x96297))+~E(f318(f318(f92(f905(x96292,a894)),x96296),x96297),f179(f905(x96292,a894)))
% 182.43/182.08 [9634]~P71(x96341)+~P24(x96345,x96342,x96346,x96347)+~P1(f318(f28(x96345),x96347))+E(f318(f318(f318(f59(x96341,x96342,f76(x96341)),x96343),x96344),f318(f301(x96345,x96342,x96346),x96347)),f318(f318(f318(f59(x96341,x96345,f76(x96341)),f318(f67(x96342,x96341,x96345,x96343),x96346)),x96344),x96347))
% 182.43/182.08 [9760]~E(f318(f318(f300(x97601),x97605),x97606),f318(f318(f300(x97601),x97602),x97603))+~P1(f318(f60(x97601,x97601,x97604,x97602,x97603),x97607))+P1(f318(f318(f320(x97601),x97602),x97603))+P1(f318(f56(x97601,x97604,f318(f318(f300(x97601),x97605),x97606)),x97607))
% 182.43/182.08 [9844]P1(f318(x98441,x98442))+~P1(f318(f318(f320(x98443),x98442),f318(x98444,x98447)))+~P1(f318(f318(f320(x98446),x98447),x98445))+P1(f318(f318(f320(x98443),f407(x98441,x98444,x98445,x98446,x98443)),f318(f318(f34(x98446,f905(x98443,a894)),x98445),x98444)))
% 182.43/182.08 [9861]~P24(x98612,x98611,x98615,x98614)+~P24(x98611,x98613,x98616,f318(f301(x98612,x98611,x98615),x98614))+E(f318(f318(f67(x98611,x98612,x98613,f72(x98612,x98611,x98614,x98615)),f72(x98611,x98613,f318(f301(x98612,x98611,x98615),x98614),x98616)),x98617),f318(f72(x98612,x98613,x98614,f318(f67(x98611,x98613,x98612,x98616),x98615)),x98617))+~P1(f318(f318(f320(x98613),x98617),f318(f301(x98611,x98613,x98616),f318(f301(x98612,x98611,x98615),x98614))))
% 182.43/182.08 [9862]~P24(x98622,x98621,x98625,x98624)+~P24(x98621,x98623,x98626,f318(f301(x98622,x98621,x98625),x98624))+E(f318(f318(f67(x98621,x98622,x98623,f86(x98622,x98621,x98624,x98625)),f86(x98621,x98623,f318(f301(x98622,x98621,x98625),x98624),x98626)),x98627),f318(f86(x98622,x98623,x98624,f318(f67(x98621,x98623,x98622,x98626),x98625)),x98627))+~P1(f318(f318(f320(x98623),x98627),f318(f301(x98621,x98623,x98626),f318(f301(x98622,x98621,x98625),x98624))))
% 182.43/182.08 [10176]~P16(x101767,x101766,x101761)+E(f318(f318(x101761,x101762),f611(x101763,x101764,x101762,x101765,x101761,x101766,x101767)),x101763)+P1(f318(f318(f320(x101767),x101762),x101764))+~P1(f318(f60(x101767,x101766,x101761,x101765,f318(f318(f300(x101767),x101762),x101764)),x101763))
% 182.43/182.08 [10241]~P16(x102411,x102414,x102415)+P1(f318(f60(x102411,x102414,x102415,x102416,x102413),f611(x102417,x102413,x102412,x102416,x102415,x102414,x102411)))+P1(f318(f318(f320(x102411),x102412),x102413))+~P1(f318(f60(x102411,x102414,x102415,x102416,f318(f318(f300(x102411),x102412),x102413)),x102417))
% 182.43/182.08 [9919]E(x99191,f2(a1))+~P1(f318(f44(x99193,x99191),f318(f318(f243(a1,a1),x99195),x99197)))+~P1(f318(f44(x99192,x99191),f318(f318(f243(a1,a1),x99194),x99196)))+P1(f318(f44(f318(f318(f75(a1),x99192),x99193),x99191),f318(f318(f243(a1,a1),f318(f318(f75(a1),f318(f318(f75(a1),x99194),x99195)),f318(f318(f30(a1),f318(f318(f75(a1),x99196),x99197)),x99191))),f40(a1,f318(f318(f75(a1),x99196),x99197),x99191))))
% 182.43/182.08 [9921]~P1(f318(f318(f227(a898),f2(a898)),x99213))+~P1(f318(f43(x99212,x99213),f318(f318(f243(a898,a898),x99215),x99217)))+~P1(f318(f43(x99211,x99213),f318(f318(f243(a898,a898),x99214),x99216)))+P1(f318(f43(f318(f318(f75(a898),x99211),x99212),x99213),f318(f318(f243(a898,a898),f318(f318(f75(a898),f318(f318(f75(a898),x99214),x99215)),f318(f318(f30(a898),f318(f318(f75(a898),x99216),x99217)),x99213))),f40(a898,f318(f318(f75(a898),x99216),x99217),x99213))))
% 182.43/182.08 [10311]~P74(x103112)+~P1(f318(f28(x103113),x103115))+~P1(f318(f28(x103111),x103117))+E(f318(f318(f6(x103111,x103112),f318(f318(f18(x103111,f905(x103113,a894),x103112),f318(f318(f8(f905(x103113,x103112),f905(f905(x103113,a894),x103112),x103111),f6(x103113,x103112)),x103114)),f318(f318(f8(f905(x103113,a894),f905(x103113,a894),x103111),f253(x103113)),f318(f318(f8(f905(x103113,a894),f905(x103113,a894),x103111),f318(f18(x103113,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103113),a316),f318(f318(f7(x103113,f905(x103113,a894),a894),f320(x103113)),x103115)))),x103116)))),x103117),f318(f318(f6(x103113,x103112),f318(f318(f18(x103113,f905(x103111,a894),x103112),f318(f318(f8(f905(x103111,x103112),f905(f905(x103111,a894),x103112),x103113),f6(x103111,x103112)),f318(f7(x103111,x103113,x103112),x103114))),f318(f318(f8(f905(x103111,a894),f905(x103111,a894),x103113),f253(x103111)),f318(f318(f8(f905(x103111,a894),f905(x103111,a894),x103113),f318(f18(x103111,a894,a894),f318(f318(f8(a894,f905(a894,a894),x103111),a316),f318(f318(f7(x103111,f905(x103111,a894),a894),f320(x103111)),x103117)))),f318(f7(x103111,x103113,a894),x103116))))),x103115))
% 182.43/182.08 [10262]~P21(x102628,x102627,x102626,x102625,x102621)+~E(f318(x102622,f843(x102624,x102622,x102623,x102621,x102625,x102626,x102627)),f318(x102624,f843(x102624,x102622,x102623,x102621,x102625,x102626,x102627)))+E(f318(f318(x102621,x102622),x102623),f318(f318(x102621,x102624),x102623))+~P1(f318(f28(x102627),x102623))
% 182.43/182.08 [9796]~P22(x97967,x97966,x97961,x97968,x97962,x97964)+E(f318(f318(x97961,f318(x97962,x97963)),f318(x97964,x97965)),f318(x97964,x97965))+~P1(f318(f28(x97966),x97965))+~P1(f318(f318(f320(x97966),x97963),x97965))
% 182.43/182.08 [9800]~P12(x98006,x98001,x98002,x98008,x98003,x98004)+~P8(x98006,x98007,x98008)+P11(x98001,x98002,x98003,f318(x98004,x98005))+~P1(f318(f318(f320(x98006),x98005),x98007))
% 182.43/182.08 [10284]~P21(x102848,x102845,x102847,x102846,x102841)+E(f318(f318(x102841,x102842),x102843),f318(f318(x102841,x102844),x102843))+~P1(f318(f28(x102845),x102843))+P1(f318(f318(f320(x102845),f843(x102842,x102844,x102843,x102841,x102846,x102847,x102845)),x102843))
% 182.43/182.08 [10361]~P1(f318(f318(x103611,x103616),x103615))+P1(f318(f318(x103611,f827(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)),f831(x103611,x103614,x103615,x103616,x103613,x103612,x103617,x103618)))+P1(f318(f318(x103611,x103612),x103613))+~P1(f318(f318(f320(f904(f904(x103618,x103617),f904(x103618,x103617))),f318(f318(f243(f904(x103618,x103617),f904(x103618,x103617)),f318(f318(f243(x103618,x103617),x103612),x103613)),f318(f318(f243(x103618,x103617),x103616),x103615))),f298(f904(x103618,x103617),x103614)))
% 182.43/182.08 [10362]~P1(f318(f318(x103621,x103626),x103625))+P1(f318(f318(x103621,f820(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)),f821(x103621,x103624,x103623,x103622,x103625,x103626,x103627,x103628)))+P1(f318(f318(x103621,x103622),x103623))+~P1(f318(f318(f320(f904(f904(x103628,x103627),f904(x103628,x103627))),f318(f318(f243(f904(x103628,x103627),f904(x103628,x103627)),f318(f318(f243(x103628,x103627),x103626),x103625)),f318(f318(f243(x103628,x103627),x103622),x103623))),f298(f904(x103628,x103627),x103624)))
% 182.43/182.08 [10372]~P1(f318(f318(x103721,f828(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)),f830(x103721,x103726,x103725,x103724,x103723,x103722,x103727,x103728)))+P1(f318(f318(x103721,x103722),x103723))+~P1(f318(f318(x103721,x103724),x103725))+~P1(f318(f318(f320(f904(f904(x103728,x103727),f904(x103728,x103727))),f318(f318(f243(f904(x103728,x103727),f904(x103728,x103727)),f318(f318(f243(x103728,x103727),x103722),x103723)),f318(f318(f243(x103728,x103727),x103724),x103725))),f298(f904(x103728,x103727),x103726)))
% 182.43/182.08 [10373]~P1(f318(f318(x103731,f822(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)),f823(x103731,x103736,x103733,x103732,x103735,x103734,x103737,x103738)))+P1(f318(f318(x103731,x103732),x103733))+~P1(f318(f318(x103731,x103734),x103735))+~P1(f318(f318(f320(f904(f904(x103738,x103737),f904(x103738,x103737))),f318(f318(f243(f904(x103738,x103737),f904(x103738,x103737)),f318(f318(f243(x103738,x103737),x103734),x103735)),f318(f318(f243(x103738,x103737),x103732),x103733))),f298(f904(x103738,x103737),x103736)))
% 182.43/182.08 [10386]~P1(f318(f318(x103861,x103866),x103867))+P1(f318(f318(x103861,x103862),x103863))+P1(f318(f318(f320(f904(f904(x103864,x103865),f904(x103864,x103865))),f318(f318(f243(f904(x103864,x103865),f904(x103864,x103865)),f318(f318(f243(x103864,x103865),x103866),x103867)),f318(f318(f243(x103864,x103865),f820(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)),f821(x103861,x103868,x103863,x103862,x103867,x103866,x103865,x103864)))),f298(f904(x103864,x103865),x103868)))+~P1(f318(f318(f320(f904(f904(x103864,x103865),f904(x103864,x103865))),f318(f318(f243(f904(x103864,x103865),f904(x103864,x103865)),f318(f318(f243(x103864,x103865),x103866),x103867)),f318(f318(f243(x103864,x103865),x103862),x103863))),f298(f904(x103864,x103865),x103868)))
% 182.43/182.08 [10388]~P1(f318(f318(x103881,x103888),x103887))+P1(f318(f318(x103881,x103882),x103883))+P1(f318(f318(f320(f904(f904(x103884,x103885),f904(x103884,x103885))),f318(f318(f243(f904(x103884,x103885),f904(x103884,x103885)),f318(f318(f243(x103884,x103885),f827(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884)),f831(x103881,x103886,x103887,x103888,x103883,x103882,x103885,x103884))),f318(f318(f243(x103884,x103885),x103888),x103887))),f298(f904(x103884,x103885),x103886)))+~P1(f318(f318(f320(f904(f904(x103884,x103885),f904(x103884,x103885))),f318(f318(f243(f904(x103884,x103885),f904(x103884,x103885)),f318(f318(f243(x103884,x103885),x103882),x103883)),f318(f318(f243(x103884,x103885),x103888),x103887))),f298(f904(x103884,x103885),x103886)))
% 182.43/182.08 [9406]~P19(x94067,x94061,x94068,x94063)+~P1(f318(f28(x94067),x94065))+~P1(f318(f28(x94067),x94064))+E(f318(f67(x94061,x94061,x94062,f318(x94063,x94064)),f318(f67(x94061,x94061,x94062,f318(x94063,x94065)),x94066)),f318(f67(x94061,x94061,x94062,f318(x94063,x94065)),f318(f67(x94061,x94061,x94062,f318(x94063,x94064)),x94066)))
% 182.43/182.08 [9415]~P33(x94151,x94152,x94153,x94154,x94157)+P33(x94151,x94152,x94153,f318(f318(f150(x94151,x94154),x94155),x94156),f318(f318(f150(x94152,x94157),x94155),x94158))+~P1(f318(f318(x94153,x94156),x94158))+~P1(f318(f318(f227(a898),x94155),f318(f180(f899(x94151)),x94154)))
% 182.43/182.08 [9416]~P33(x94161,x94162,x94163,x94164,x94167)+P33(x94161,x94162,x94163,f318(f318(f150(x94161,x94164),x94165),x94166),f318(f318(f150(x94162,x94167),x94165),x94168))+~P1(f318(f318(x94163,x94166),x94168))+~P1(f318(f318(f227(a898),x94165),f318(f180(f899(x94162)),x94167)))
% 182.43/182.08 [9495]~P24(x94952,x94952,x94955,x94956)+~P21(x94953,x94952,x94957,x94958,x94951)+~P1(f318(f28(x94952),x94956))+E(f318(f318(x94951,f318(f67(x94952,x94953,x94952,x94954),x94955)),x94956),f318(f318(x94951,x94954),f318(f301(x94952,x94952,x94955),x94956)))
% 182.43/182.08 [9761]P25(x97611,x97612,x97613,x97614,x97615)+~P25(x97612,x97616,x97617,x97615,x97618)+~P25(x97611,x97616,f318(f67(x97612,x97616,x97611,x97617),x97613),x97614,x97618)+~P1(f318(f318(f226(f905(x97612,a894)),f318(f301(x97611,x97612,x97613),x97614)),x97615))
% 182.43/182.08 [9798]~P23(x97987,x97982,x97985,x97988,x97986,x97981)+~P1(f318(f28(x97982),x97984))+E(f318(x97981,f318(f318(f300(x97982),x97983),x97984)),f318(f318(x97985,f318(x97986,x97983)),f318(x97981,x97984)))+P1(f318(f318(f320(x97982),x97983),x97984))
% 182.43/182.08 [9809]~P22(x98096,x98095,x98091,x98097,x98098,x98092)+E(f318(f318(x98091,f318(x98092,x98093)),f318(x98092,x98094)),f318(x98092,x98094))+~P1(f318(f28(x98095),x98094))+~P1(f318(f318(f226(f905(x98095,a894)),x98093),x98094))
% 182.43/182.08 [9393]P1(f318(f318(f320(f904(f899(x93931),f899(x93931))),f318(f318(f243(f899(x93931),f899(x93931)),x93932),x93933)),f148(x93931,x93934)))+~E(x93933,f318(f318(f125(x93931),x93935),f318(f318(f142(x93931),x93936),x93937)))+~E(x93932,f318(f318(f125(x93931),x93935),f318(f318(f142(x93931),x93938),x93937)))+~P1(f318(f318(f320(f904(x93931,x93931)),f318(f318(f243(x93931,x93931),x93938),x93936)),x93934))
% 182.43/182.08 [9803]~P22(x98036,x98032,x98035,x98037,x98038,x98031)+~P1(f318(f28(x98032),x98034))+~P1(f318(f28(x98032),x98033))+E(f318(x98031,f318(f318(f101(f905(x98032,a894)),x98033),x98034)),f318(f318(x98035,f318(x98031,x98033)),f318(x98031,x98034)))
% 182.43/182.08 [10351]~P24(x103514,x103512,x103515,x103518)+E(f318(f318(f35(x103511,f905(x103512,a894)),x103513),f318(f318(f8(f905(x103514,a894),f905(x103512,a894),x103511),f301(x103514,x103512,x103515)),x103516)),f318(f301(x103514,x103512,x103515),f318(f318(f35(x103511,f905(x103514,a894)),x103513),x103516)))+~P1(f318(f318(f320(x103511),x103517),x103513))+P1(f318(f318(f320(x103511),f600(x103517,x103516,x103513,x103511,x103518,x103515,x103512,x103514)),x103513))
% 182.43/182.08 [10377]~P24(x103774,x103772,x103775,x103777)+E(f318(f318(f35(x103771,f905(x103772,a894)),x103773),f318(f318(f8(f905(x103774,a894),f905(x103772,a894),x103771),f301(x103774,x103772,x103775)),x103776)),f318(f301(x103774,x103772,x103775),f318(f318(f35(x103771,f905(x103774,a894)),x103773),x103776)))+~P1(f318(f318(f320(x103771),x103778),x103773))+~P1(f318(f318(f226(f905(x103774,a894)),f318(x103776,f600(x103778,x103776,x103773,x103771,x103777,x103775,x103772,x103774))),x103777))
% 182.43/182.08 [10389]~P1(f318(f318(x103891,x103898),x103897))+P1(f318(f318(x103891,x103892),x103893))+~P1(f318(f318(f320(f904(f904(x103894,x103895),f904(x103894,x103895))),f318(f318(f243(f904(x103894,x103895),f904(x103894,x103895)),f318(f318(f243(x103894,x103895),x103892),x103893)),f318(f318(f243(x103894,x103895),x103898),x103897))),f298(f904(x103894,x103895),x103896)))+P1(f318(f318(f320(f904(f904(x103894,x103895),f904(x103894,x103895))),f318(f318(f243(f904(x103894,x103895),f904(x103894,x103895)),f318(f318(f243(x103894,x103895),f828(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f830(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894))),f318(f318(f243(x103894,x103895),f827(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)),f831(x103891,x103896,x103897,x103898,x103893,x103892,x103895,x103894)))),x103896))
% 182.43/182.08 [10390]~P1(f318(f318(x103901,x103908),x103907))+P1(f318(f318(x103901,x103902),x103903))+~P1(f318(f318(f320(f904(f904(x103904,x103905),f904(x103904,x103905))),f318(f318(f243(f904(x103904,x103905),f904(x103904,x103905)),f318(f318(f243(x103904,x103905),x103908),x103907)),f318(f318(f243(x103904,x103905),x103902),x103903))),f298(f904(x103904,x103905),x103906)))+P1(f318(f318(f320(f904(f904(x103904,x103905),f904(x103904,x103905))),f318(f318(f243(f904(x103904,x103905),f904(x103904,x103905)),f318(f318(f243(x103904,x103905),f820(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f821(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904))),f318(f318(f243(x103904,x103905),f822(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)),f823(x103901,x103906,x103903,x103902,x103907,x103908,x103905,x103904)))),x103906))
% 182.43/182.08 [9871]~P23(x98717,x98715,x98711,x98718,x98712,x98714)+~P1(f318(f28(x98715),x98716))+~P1(f318(f318(f320(x98715),x98713),x98716))+E(f318(f318(x98711,f318(x98712,x98713)),f318(x98714,f318(f318(f23(f905(x98715,a894)),x98716),f318(f318(f300(x98715),x98713),f179(f905(x98715,a894)))))),f318(x98714,x98716))
% 182.43/182.08 [9879]~P23(x98796,x98793,x98791,x98797,x98798,x98792)+~P1(f318(f28(x98793),x98795))+~P1(f318(f28(x98793),x98794))+E(f318(f318(x98791,f318(x98792,f318(f318(f101(f905(x98793,a894)),x98794),x98795))),f318(x98792,f318(f318(f92(f905(x98793,a894)),x98794),x98795))),f318(f318(x98791,f318(x98792,x98794)),f318(x98792,x98795)))
% 182.43/182.08 [9961]P41(x99611,x99612,x99613,x99614,x99615,f318(f318(x99613,x99616),x99617))+~P41(x99611,x99612,x99613,x99614,f318(f318(f23(f905(x99611,a894)),x99615),f318(f318(f300(x99611),x99618),f179(f905(x99611,a894)))),x99619)+~E(f318(f318(x99613,x99616),x99617),f318(f318(x99613,x99618),x99619))+~P1(f318(f318(f320(x99611),x99618),x99615))
% 182.43/182.08 [9903]~P12(x99036,x99037,x99038,x99039,x990310,x99031)+E(f318(f318(x99031,x99032),x99033),f318(f318(x99031,x99034),x99035))+~P1(f318(f318(f320(f904(x99037,x99037)),f318(f318(f243(x99037,x99037),x99033),x99035)),x990310))+~P1(f318(f318(f320(f904(x99036,x99036)),f318(f318(f243(x99036,x99036),x99032),x99034)),x99039))
% 182.43/182.08 [9497]~P83(x94972)+E(x94971,f179(f905(x94972,a894)))+~P1(f318(f28(x94972),x94971))+P1(f318(f318(f320(x94972),f10(x94972,x94971)),x94971))+~P1(f318(f318(f320(x94972),f318(f318(f92(x94972),f603(x94971,x94972)),f614(x94971,x94972))),f318(f318(f300(x94972),f603(x94971,x94972)),f318(f318(f300(x94972),f614(x94971,x94972)),f179(f905(x94972,a894))))))
% 182.43/182.08 [9498]~P83(x94982)+E(x94981,f179(f905(x94982,a894)))+~P1(f318(f28(x94982),x94981))+P1(f318(f318(f320(x94982),f13(x94982,x94981)),x94981))+~P1(f318(f318(f320(x94982),f318(f318(f101(x94982),f671(x94981,x94982)),f678(x94981,x94982))),f318(f318(f300(x94982),f671(x94981,x94982)),f318(f318(f300(x94982),f678(x94981,x94982)),f179(f905(x94982,a894))))))
% 182.43/182.08 [9531]~P71(x95312)+E(x95311,f179(f905(x95312,a894)))+~P1(f318(f28(x95312),x95311))+P1(f318(f318(f320(x95312),f318(f57(x95312,f76(x95312)),x95311)),x95311))+~P1(f318(f318(f320(x95312),f318(f318(f76(x95312),f872(x95311,x95312)),f873(x95311,x95312))),f318(f318(f300(x95312),f872(x95311,x95312)),f318(f318(f300(x95312),f873(x95311,x95312)),f179(f905(x95312,a894))))))
% 182.43/182.08 [9536]~P82(x95362)+E(x95361,f179(f905(x95362,a894)))+~P1(f318(f28(x95362),x95361))+P1(f318(f318(f320(x95362),f11(x95362,f224(x95362),x95361)),x95361))+~P1(f318(f318(f320(x95362),f318(f318(f224(x95362),f423(x95361,x95362)),f427(x95361,x95362))),f318(f318(f300(x95362),f423(x95361,x95362)),f318(f318(f300(x95362),f427(x95361,x95362)),f179(f905(x95362,a894))))))
% 182.43/182.08 [9537]~P82(x95372)+E(x95371,f179(f905(x95372,a894)))+~P1(f318(f28(x95372),x95371))+P1(f318(f318(f320(x95372),f12(x95372,f225(x95372),x95371)),x95371))+~P1(f318(f318(f320(x95372),f318(f318(f225(x95372),f424(x95371,x95372)),f426(x95371,x95372))),f318(f318(f300(x95372),f424(x95371,x95372)),f318(f318(f300(x95372),f426(x95371,x95372)),f179(f905(x95372,a894))))))
% 182.43/182.08 [6632]~P90(x66322)+E(x66321,f2(x66322))+~E(f318(f318(f75(x66322),x66323),x66321),f2(x66322))+~P1(f318(f318(f226(x66322),f2(x66322)),x66323))+~P1(f318(f318(f226(x66322),f2(x66322)),x66321))
% 182.43/182.08 [6633]~P90(x66332)+E(x66331,f2(x66332))+~E(f318(f318(f75(x66332),x66331),x66333),f2(x66332))+~P1(f318(f318(f226(x66332),f2(x66332)),x66333))+~P1(f318(f318(f226(x66332),f2(x66332)),x66331))
% 182.43/182.08 [7177]~P82(x71772)+~P13(x71772,x71771)+E(x71771,f104(x71772))+~P1(f318(f318(f320(x71772),x71773),f318(f163(x71772),f687(x71771,x71772))))+P1(f318(f318(f226(x71772),f707(x71771,x71772)),x71773))
% 182.43/182.08 [7346]~P82(x73461)+E(f14(x73461,x73462),x73463)+~P1(f318(f28(x73461),x73462))+~P1(f318(f318(f226(x73461),x73463),f444(x73463,x73462,x73461)))+~P1(f318(f318(f320(x73461),x73463),x73462))
% 182.43/182.08 [7379]~P82(x73791)+~P13(x73791,x73792)+~P13(x73791,x73793)+P13(x73791,f318(f318(f125(x73791),x73792),x73793))+P1(f318(f318(f320(x73791),f693(x73793,x73792,x73791)),f318(f163(x73791),x73792)))
% 182.43/182.08 [7380]~P82(x73801)+~P13(x73801,x73802)+~P13(x73801,x73803)+P13(x73801,f318(f318(f125(x73801),x73802),x73803))+P1(f318(f318(f320(x73801),f695(x73803,x73802,x73801)),f318(f163(x73801),x73803)))
% 182.43/182.08 [7443]~P82(x74431)+E(f14(x74431,x74432),x74433)+~P1(f318(f28(x74431),x74432))+P1(f318(f318(f320(x74431),f444(x74433,x74432,x74431)),x74432))+~P1(f318(f318(f320(x74431),x74433),x74432))
% 182.43/182.08 [7444]~P82(x74441)+E(f15(x74441,x74442),x74443)+~P1(f318(f28(x74441),x74442))+P1(f318(f318(f320(x74441),f446(x74443,x74442,x74441)),x74442))+~P1(f318(f318(f320(x74441),x74443),x74442))
% 182.43/182.08 [8016]~P82(x80161)+E(f15(x80161,x80162),x80163)+~P1(f318(f28(x80161),x80162))+~P1(f318(f318(f320(x80161),x80163),x80162))+~P1(f318(f318(f226(x80161),f446(x80163,x80162,x80161)),x80163))
% 182.43/182.08 [8334]~P82(x83341)+~P13(x83341,x83342)+~P13(x83341,x83343)+P13(x83341,f318(f318(f125(x83341),x83342),x83343))+~P1(f318(f318(f226(x83341),f693(x83343,x83342,x83341)),f695(x83343,x83342,x83341)))
% 182.43/182.08 [9131]~P83(x91312)+E(x91311,f179(f905(x91312,a894)))+~E(f318(f318(f92(x91312),f318(x91313,f694(x91311,x91313,x91312))),f318(x91313,f702(x91311,x91313,x91312))),f318(x91313,f318(f318(f92(x91312),f694(x91311,x91313,x91312)),f702(x91311,x91313,x91312))))+E(f10(x91312,f318(f301(x91312,x91312,x91313),x91311)),f318(x91313,f10(x91312,x91311)))+~P1(f318(f28(x91312),x91311))
% 182.43/182.08 [9132]~P83(x91322)+E(x91321,f179(f905(x91322,a894)))+~E(f318(f318(f101(x91322),f318(x91323,f712(x91321,x91323,x91322))),f318(x91323,f725(x91321,x91323,x91322))),f318(x91323,f318(f318(f101(x91322),f712(x91321,x91323,x91322)),f725(x91321,x91323,x91322))))+E(f13(x91322,f318(f301(x91322,x91322,x91323),x91321)),f318(x91323,f13(x91322,x91321)))+~P1(f318(f28(x91322),x91321))
% 182.43/182.08 [9133]~P82(x91332)+E(x91331,f179(f905(x91332,a894)))+~E(f318(f318(f224(x91332),f318(x91333,f437(x91331,x91333,x91332))),f318(x91333,f439(x91331,x91333,x91332))),f318(x91333,f318(f318(f224(x91332),f437(x91331,x91333,x91332)),f439(x91331,x91333,x91332))))+E(f14(x91332,f318(f301(x91332,x91332,x91333),x91331)),f318(x91333,f14(x91332,x91331)))+~P1(f318(f28(x91332),x91331))
% 182.43/182.08 [9134]~P82(x91342)+E(x91341,f179(f905(x91342,a894)))+~E(f318(f318(f225(x91342),f318(x91343,f415(x91341,x91343,x91342))),f318(x91343,f438(x91341,x91343,x91342))),f318(x91343,f318(f318(f225(x91342),f415(x91341,x91343,x91342)),f438(x91341,x91343,x91342))))+E(f15(x91342,f318(f301(x91342,x91342,x91343),x91341)),f318(x91343,f15(x91342,x91341)))+~P1(f318(f28(x91342),x91341))
% 182.43/182.08 [9202]~P82(x92022)+E(x92021,f179(f905(x92022,a894)))+~E(f318(f318(f224(x92022),f318(x92023,f416(x92021,x92023,x92022))),f318(x92023,f433(x92021,x92023,x92022))),f318(x92023,f318(f318(f224(x92022),f416(x92021,x92023,x92022)),f433(x92021,x92023,x92022))))+E(f11(x92022,f224(x92022),f318(f301(x92022,x92022,x92023),x92021)),f318(x92023,f11(x92022,f224(x92022),x92021)))+~P1(f318(f28(x92022),x92021))
% 182.43/182.08 [9203]~P82(x92032)+E(x92031,f179(f905(x92032,a894)))+~E(f318(f318(f225(x92032),f318(x92033,f417(x92031,x92033,x92032))),f318(x92033,f432(x92031,x92033,x92032))),f318(x92033,f318(f318(f225(x92032),f417(x92031,x92033,x92032)),f432(x92031,x92033,x92032))))+E(f12(x92032,f225(x92032),f318(f301(x92032,x92032,x92033),x92031)),f318(x92033,f12(x92032,f225(x92032),x92031)))+~P1(f318(f28(x92032),x92031))
% 182.43/182.08 [6649]~P71(x66492)+E(x66491,f179(f905(x66492,a894)))+~P1(f318(f28(x66492),x66491))+E(f318(f57(x66492,f76(x66492)),f318(f318(f300(x66492),x66493),x66491)),f318(f318(f76(x66492),x66493),f318(f57(x66492,f76(x66492)),x66491)))+P1(f318(f318(f320(x66492),x66493),x66491))
% 182.43/182.08 [7183]~P83(x71832)+E(f318(f318(f92(x71832),f10(x71832,x71831)),f10(x71832,x71833)),f10(x71832,x71833))+E(x71831,f179(f905(x71832,a894)))+~P1(f318(f28(x71832),x71833))+~P1(f318(f318(f226(f905(x71832,a894)),x71831),x71833))
% 182.43/182.08 [7184]~P83(x71842)+E(f318(f318(f101(x71842),f13(x71842,x71841)),f13(x71842,x71843)),f13(x71842,x71843))+E(x71841,f179(f905(x71842,a894)))+~P1(f318(f28(x71842),x71843))+~P1(f318(f318(f226(f905(x71842,a894)),x71841),x71843))
% 182.43/182.08 [7185]~P82(x71852)+E(f318(f318(f224(x71852),f14(x71852,x71851)),f14(x71852,x71853)),f14(x71852,x71853))+E(x71851,f179(f905(x71852,a894)))+~P1(f318(f28(x71852),x71853))+~P1(f318(f318(f226(f905(x71852,a894)),x71851),x71853))
% 182.43/182.08 [7186]~P82(x71862)+E(f318(f318(f225(x71862),f15(x71862,x71861)),f15(x71862,x71863)),f15(x71862,x71863))+E(x71861,f179(f905(x71862,a894)))+~P1(f318(f28(x71862),x71863))+~P1(f318(f318(f226(f905(x71862,a894)),x71861),x71863))
% 182.43/182.08 [7491]~P82(x74912)+E(x74911,f179(f905(x74912,a894)))+~P1(f318(f28(x74912),x74913))+P1(f318(f318(f226(x74912),f14(x74912,x74913)),f14(x74912,x74911)))+~P1(f318(f318(f226(f905(x74912,a894)),x74911),x74913))
% 182.43/182.08 [7492]~P82(x74922)+E(x74921,f179(f905(x74922,a894)))+~P1(f318(f28(x74922),x74923))+P1(f318(f318(f226(x74922),f15(x74922,x74921)),f15(x74922,x74923)))+~P1(f318(f318(f226(f905(x74922,a894)),x74921),x74923))
% 182.43/182.08 [7546]~P83(x75461)+E(f10(x75461,x75462),x75463)+~P1(f318(f28(x75461),x75462))+~E(f318(f318(f23(f905(x75461,a894)),x75462),f318(f318(f300(x75461),x75463),f179(f905(x75461,a894)))),f179(f905(x75461,a894)))+~P1(f318(f318(f320(x75461),x75463),x75462))
% 182.43/182.08 [7547]~P83(x75471)+E(f13(x75471,x75472),x75473)+~P1(f318(f28(x75471),x75472))+~E(f318(f318(f23(f905(x75471,a894)),x75472),f318(f318(f300(x75471),x75473),f179(f905(x75471,a894)))),f179(f905(x75471,a894)))+~P1(f318(f318(f320(x75471),x75473),x75472))
% 182.43/182.08 [7548]~P82(x75481)+E(f14(x75481,x75482),x75483)+~P1(f318(f28(x75481),x75482))+~E(f318(f318(f23(f905(x75481,a894)),x75482),f318(f318(f300(x75481),x75483),f179(f905(x75481,a894)))),f179(f905(x75481,a894)))+~P1(f318(f318(f320(x75481),x75483),x75482))
% 182.43/182.08 [7549]~P82(x75491)+E(f15(x75491,x75492),x75493)+~P1(f318(f28(x75491),x75492))+~E(f318(f318(f23(f905(x75491,a894)),x75492),f318(f318(f300(x75491),x75493),f179(f905(x75491,a894)))),f179(f905(x75491,a894)))+~P1(f318(f318(f320(x75491),x75493),x75492))
% 182.43/182.08 [7644]~P82(x76441)+E(f11(x76441,f224(x76441),x76442),x76443)+~P1(f318(f28(x76441),x76442))+~E(f318(f318(f23(f905(x76441,a894)),x76442),f318(f318(f300(x76441),x76443),f179(f905(x76441,a894)))),f179(f905(x76441,a894)))+~P1(f318(f318(f320(x76441),x76443),x76442))
% 182.43/182.08 [7645]~P82(x76451)+E(f12(x76451,f225(x76451),x76452),x76453)+~P1(f318(f28(x76451),x76452))+~E(f318(f318(f23(f905(x76451,a894)),x76452),f318(f318(f300(x76451),x76453),f179(f905(x76451,a894)))),f179(f905(x76451,a894)))+~P1(f318(f318(f320(x76451),x76453),x76452))
% 182.43/182.08 [7680]~P102(x76802)+E(x76801,f179(f905(x76802,a894)))+~P1(f318(f28(x76802),x76801))+~P1(f318(f318(f226(x76802),x76803),f870(x76803,x76801,x76802)))+P1(f318(f318(f226(x76802),x76803),f318(f57(x76802,f92(x76802)),x76801)))
% 182.43/182.08 [7681]~P82(x76812)+E(x76811,f179(f905(x76812,a894)))+~P1(f318(f28(x76812),x76811))+~P1(f318(f318(f226(x76812),x76813),f402(x76813,x76811,x76812)))+P1(f318(f318(f226(x76812),x76813),f318(f57(x76812,f224(x76812)),x76811)))
% 182.43/182.08 [7682]~P82(x76822)+E(x76821,f179(f905(x76822,a894)))+~P1(f318(f28(x76822),x76821))+~P1(f318(f318(f227(x76822),x76823),f404(x76823,x76821,x76822)))+P1(f318(f318(f227(x76822),x76823),f318(f57(x76822,f224(x76822)),x76821)))
% 182.43/182.08 [7769]~P102(x77692)+E(x77691,f179(f905(x77692,a894)))+~P1(f318(f28(x77692),x77691))+P1(f318(f318(f320(x77692),f870(x77693,x77691,x77692)),x77691))+P1(f318(f318(f226(x77692),x77693),f318(f57(x77692,f92(x77692)),x77691)))
% 182.43/182.08 [7770]~P82(x77702)+E(x77701,f179(f905(x77702,a894)))+~P1(f318(f28(x77702),x77701))+P1(f318(f318(f320(x77702),f402(x77703,x77701,x77702)),x77701))+P1(f318(f318(f226(x77702),x77703),f318(f57(x77702,f224(x77702)),x77701)))
% 182.43/182.08 [7771]~P82(x77712)+E(x77711,f179(f905(x77712,a894)))+~P1(f318(f28(x77712),x77711))+P1(f318(f318(f320(x77712),f404(x77713,x77711,x77712)),x77711))+P1(f318(f318(f227(x77712),x77713),f318(f57(x77712,f224(x77712)),x77711)))
% 182.43/182.08 [7893]~P82(x78932)+E(x78931,f179(f905(x78932,a894)))+E(f318(f318(f224(x78932),f11(x78932,f224(x78932),x78931)),f11(x78932,f224(x78932),x78933)),f11(x78932,f224(x78932),x78933))+~P1(f318(f28(x78932),x78933))+~P1(f318(f318(f226(f905(x78932,a894)),x78931),x78933))
% 182.43/182.08 [7894]~P82(x78942)+E(x78941,f179(f905(x78942,a894)))+E(f318(f318(f225(x78942),f12(x78942,f225(x78942),x78941)),f12(x78942,f225(x78942),x78943)),f12(x78942,f225(x78942),x78943))+~P1(f318(f28(x78942),x78943))+~P1(f318(f318(f226(f905(x78942,a894)),x78941),x78943))
% 182.43/182.08 [8093]~E(f597(x80931,x80933,x80932),f598(x80931,x80933,x80932))+~E(f318(f29(x80932),f599(x80931,x80933,x80932)),x80931)+E(f318(f318(f76(a898),x80931),f318(f29(f905(x80932,a894)),x80933)),f318(f29(x80932),f31(f905(x80932,a894),x80933)))+~P1(f318(f28(x80932),f31(f905(x80932,a894),x80933)))+~P1(f318(f28(f905(x80932,a894)),x80933))
% 182.43/182.08 [8274]~P82(x82742)+E(x82741,f179(f905(x82742,a894)))+~P1(f318(f28(x82742),x82743))+P1(f318(f318(f226(x82742),f318(f57(x82742,f224(x82742)),x82743)),f318(f57(x82742,f224(x82742)),x82741)))+~P1(f318(f318(f226(f905(x82742,a894)),x82741),x82743))
% 182.43/182.08 [8575]~E(f597(x85751,x85753,x85752),f598(x85751,x85753,x85752))+E(f318(f318(f76(a898),x85751),f318(f29(f905(x85752,a894)),x85753)),f318(f29(x85752),f31(f905(x85752,a894),x85753)))+P1(f318(f318(f320(f905(x85752,a894)),f599(x85751,x85753,x85752)),x85753))+~P1(f318(f28(x85752),f31(f905(x85752,a894),x85753)))+~P1(f318(f28(f905(x85752,a894)),x85753))
% 182.43/182.08 [8601]~E(f318(f29(x86012),f599(x86011,x86013,x86012)),x86011)+E(f318(f318(f76(a898),x86011),f318(f29(f905(x86012,a894)),x86013)),f318(f29(x86012),f31(f905(x86012,a894),x86013)))+P1(f318(f318(f320(f905(x86012,a894)),f598(x86011,x86013,x86012)),x86013))+~P1(f318(f28(x86012),f31(f905(x86012,a894),x86013)))+~P1(f318(f28(f905(x86012,a894)),x86013))
% 182.43/182.08 [8602]~E(f318(f29(x86022),f599(x86021,x86023,x86022)),x86021)+E(f318(f318(f76(a898),x86021),f318(f29(f905(x86022,a894)),x86023)),f318(f29(x86022),f31(f905(x86022,a894),x86023)))+P1(f318(f318(f320(f905(x86022,a894)),f597(x86021,x86023,x86022)),x86023))+~P1(f318(f28(x86022),f31(f905(x86022,a894),x86023)))+~P1(f318(f28(f905(x86022,a894)),x86023))
% 182.43/182.08 [8627]~E(f318(f29(x86272),f599(x86271,x86273,x86272)),x86271)+~E(f318(f318(f92(f905(x86272,a894)),f598(x86271,x86273,x86272)),f597(x86271,x86273,x86272)),f179(f905(x86272,a894)))+E(f318(f318(f76(a898),x86271),f318(f29(f905(x86272,a894)),x86273)),f318(f29(x86272),f31(f905(x86272,a894),x86273)))+~P1(f318(f28(f905(x86272,a894)),x86273))+~P1(f318(f28(x86272),f31(f905(x86272,a894),x86273)))
% 182.43/182.08 [8891]E(f318(f318(f76(a898),x88911),f318(f29(f905(x88912,a894)),x88913)),f318(f29(x88912),f31(f905(x88912,a894),x88913)))+P1(f318(f318(f320(f905(x88912,a894)),f599(x88911,x88913,x88912)),x88913))+P1(f318(f318(f320(f905(x88912,a894)),f598(x88911,x88913,x88912)),x88913))+~P1(f318(f28(f905(x88912,a894)),x88913))+~P1(f318(f28(x88912),f31(f905(x88912,a894),x88913)))
% 182.43/182.08 [8892]E(f318(f318(f76(a898),x88921),f318(f29(f905(x88922,a894)),x88923)),f318(f29(x88922),f31(f905(x88922,a894),x88923)))+P1(f318(f318(f320(f905(x88922,a894)),f599(x88921,x88923,x88922)),x88923))+P1(f318(f318(f320(f905(x88922,a894)),f597(x88921,x88923,x88922)),x88923))+~P1(f318(f28(f905(x88922,a894)),x88923))+~P1(f318(f28(x88922),f31(f905(x88922,a894),x88923)))
% 182.43/182.08 [8918]~E(f318(f318(f92(f905(x89182,a894)),f598(x89181,x89183,x89182)),f597(x89181,x89183,x89182)),f179(f905(x89182,a894)))+E(f318(f318(f76(a898),x89181),f318(f29(f905(x89182,a894)),x89183)),f318(f29(x89182),f31(f905(x89182,a894),x89183)))+~P1(f318(f28(f905(x89182,a894)),x89183))+P1(f318(f318(f320(f905(x89182,a894)),f599(x89181,x89183,x89182)),x89183))+~P1(f318(f28(x89182),f31(f905(x89182,a894),x89183)))
% 182.43/182.08 [9177]~P98(x91772)+E(x91771,f179(f905(x91772,a894)))+~E(f318(f318(f76(x91772),f318(x91773,f363(x91771,x91773,x91772))),f318(x91773,f364(x91771,x91773,x91772))),f318(x91773,f318(f318(f76(x91772),f363(x91771,x91773,x91772)),f364(x91771,x91773,x91772))))+~P1(f318(f28(x91772),x91771))+E(f318(f57(x91772,f76(x91772)),f318(f301(x91772,x91772,x91773),x91771)),f318(x91773,f318(f57(x91772,f76(x91772)),x91771)))
% 182.43/182.08 [10119]P1(f318(f318(x101191,x101192),x101193))+P1(f318(f318(f227(a1),f458(x101191,x101193,x101192)),f459(x101191,x101193,x101192)))+P1(f318(f318(f226(a1),f459(x101191,x101193,x101192)),f2(a1)))+P1(f318(f318(x101191,f458(x101191,x101193,x101192)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f459(x101191,x101193,x101192))))+~P1(f318(f306(f904(a1,a1),a53),f318(f318(f243(a1,a1),x101192),x101193)))
% 182.43/182.08 [10125]P1(f318(f318(x101251,x101252),x101253))+P1(f318(f318(f226(a1),f456(x101251,x101253,x101252)),f2(a1)))+P1(f318(f318(x101251,f453(x101251,x101253,x101252)),f318(f318(f76(a1),f318(f94(a1),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f456(x101251,x101253,x101252))))+P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),f453(x101251,x101253,x101252)),f456(x101251,x101253,x101252))))+~P1(f318(f306(f904(a1,a1),a47),f318(f318(f243(a1,a1),x101252),x101253)))
% 182.43/182.08 [8065]~P110(x80651)+~P1(f318(f318(f226(x80651),x80652),f73(x80651)))+~P1(f318(f318(f226(x80651),f2(x80651)),x80652))+~P1(f318(f318(f226(x80651),f2(x80651)),x80653))+P1(f318(f318(f226(x80651),f318(f318(f76(x80651),x80652),x80653)),x80653))
% 182.43/182.08 [8066]~P110(x80661)+~P1(f318(f318(f226(x80661),x80663),f73(x80661)))+~P1(f318(f318(f226(x80661),f2(x80661)),x80663))+~P1(f318(f318(f226(x80661),f2(x80661)),x80662))+P1(f318(f318(f226(x80661),f318(f318(f76(x80661),x80662),x80663)),x80662))
% 182.43/182.08 [8421]~P82(x84212)+E(x84211,f179(f905(x84212,a894)))+~P1(f318(f28(x84212),x84211))+P1(f318(f318(f320(x84212),f403(x84213,x84211,x84212)),x84211))+~P1(f318(f318(f226(x84212),f318(f57(x84212,f224(x84212)),x84211)),x84213))
% 182.43/182.08 [8422]~P82(x84222)+E(x84221,f179(f905(x84222,a894)))+~P1(f318(f28(x84222),x84221))+P1(f318(f318(f320(x84222),f406(x84223,x84221,x84222)),x84221))+~P1(f318(f318(f227(x84222),f318(f57(x84222,f224(x84222)),x84221)),x84223))
% 182.43/182.08 [8423]~P82(x84232)+E(x84231,f179(f905(x84232,a894)))+~P1(f318(f28(x84232),x84231))+P1(f318(f318(f226(x84232),f403(x84233,x84231,x84232)),x84233))+~P1(f318(f318(f226(x84232),f318(f57(x84232,f224(x84232)),x84231)),x84233))
% 182.43/182.08 [8424]~P82(x84242)+E(x84241,f179(f905(x84242,a894)))+~P1(f318(f28(x84242),x84241))+P1(f318(f318(f227(x84242),f406(x84243,x84241,x84242)),x84243))+~P1(f318(f318(f227(x84242),f318(f57(x84242,f224(x84242)),x84241)),x84243))
% 182.43/182.08 [8510]~P1(f318(x85101,x85103))+P1(f318(x85101,f351(x85101,x85102)))+P1(f318(x85101,f343(x85101,x85102)))+~P1(f318(f318(f227(a1),f2(a1)),x85102))+P1(f318(x85101,f318(f318(f23(a1),f343(x85101,x85102)),f318(f318(f76(a1),f349(x85101,x85102)),x85102))))
% 182.43/182.08 [8728]~P1(f318(x87281,x87283))+P1(f318(x87281,f343(x87281,x87282)))+~P1(f318(f318(f227(a1),f2(a1)),x87282))+P1(f318(f318(f320(a1),f351(x87281,x87282)),f294(a1,f73(a1),x87282)))+P1(f318(x87281,f318(f318(f23(a1),f343(x87281,x87282)),f318(f318(f76(a1),f349(x87281,x87282)),x87282))))
% 182.43/182.08 [8940]~P1(f318(x89401,x89403))+~P1(f318(x89401,f343(x89401,x89402)))+P1(f318(x89401,f351(x89401,x89402)))+~P1(f318(f318(f227(a1),f2(a1)),x89402))+~P1(f318(x89401,f318(f318(f23(a1),f343(x89401,x89402)),f318(f318(f76(a1),f349(x89401,x89402)),x89402))))
% 182.43/182.08 [9068]~P1(f318(x90681,x90683))+~P1(f318(x90681,f343(x90681,x90682)))+~P1(f318(f318(f227(a1),f2(a1)),x90682))+P1(f318(f318(f320(a1),f351(x90681,x90682)),f294(a1,f73(a1),x90682)))+~P1(f318(x90681,f318(f318(f23(a1),f343(x90681,x90682)),f318(f318(f76(a1),f349(x90681,x90682)),x90682))))
% 182.43/182.08 [8846]~P83(x88461)+~P1(f318(f28(x88461),x88462))+E(f318(f318(f23(f905(x88461,a894)),x88462),f318(f318(f300(x88461),x88463),f179(f905(x88461,a894)))),f179(f905(x88461,a894)))+~P1(f318(f318(f320(x88461),x88463),x88462))+E(f318(f318(f92(x88461),x88463),f10(x88461,f318(f318(f23(f905(x88461,a894)),x88462),f318(f318(f300(x88461),x88463),f179(f905(x88461,a894)))))),f10(x88461,x88462))
% 182.43/182.08 [8847]~P83(x88471)+~P1(f318(f28(x88471),x88472))+E(f318(f318(f23(f905(x88471,a894)),x88472),f318(f318(f300(x88471),x88473),f179(f905(x88471,a894)))),f179(f905(x88471,a894)))+~P1(f318(f318(f320(x88471),x88473),x88472))+E(f318(f318(f101(x88471),x88473),f13(x88471,f318(f318(f23(f905(x88471,a894)),x88472),f318(f318(f300(x88471),x88473),f179(f905(x88471,a894)))))),f13(x88471,x88472))
% 182.43/182.08 [8848]~P82(x88481)+~P1(f318(f28(x88481),x88482))+E(f318(f318(f23(f905(x88481,a894)),x88482),f318(f318(f300(x88481),x88483),f179(f905(x88481,a894)))),f179(f905(x88481,a894)))+~P1(f318(f318(f320(x88481),x88483),x88482))+E(f318(f318(f224(x88481),x88483),f14(x88481,f318(f318(f23(f905(x88481,a894)),x88482),f318(f318(f300(x88481),x88483),f179(f905(x88481,a894)))))),f14(x88481,x88482))
% 182.43/182.08 [8849]~P82(x88491)+~P1(f318(f28(x88491),x88492))+E(f318(f318(f23(f905(x88491,a894)),x88492),f318(f318(f300(x88491),x88493),f179(f905(x88491,a894)))),f179(f905(x88491,a894)))+~P1(f318(f318(f320(x88491),x88493),x88492))+E(f318(f318(f225(x88491),x88493),f15(x88491,f318(f318(f23(f905(x88491,a894)),x88492),f318(f318(f300(x88491),x88493),f179(f905(x88491,a894)))))),f15(x88491,x88492))
% 182.43/182.08 [8911]~P82(x89111)+~P1(f318(f28(x89111),x89112))+E(f318(f318(f23(f905(x89111,a894)),x89112),f318(f318(f300(x89111),x89113),f179(f905(x89111,a894)))),f179(f905(x89111,a894)))+~P1(f318(f318(f320(x89111),x89113),x89112))+E(f318(f318(f224(x89111),x89113),f11(x89111,f224(x89111),f318(f318(f23(f905(x89111,a894)),x89112),f318(f318(f300(x89111),x89113),f179(f905(x89111,a894)))))),f11(x89111,f224(x89111),x89112))
% 182.43/182.08 [8912]~P82(x89121)+~P1(f318(f28(x89121),x89122))+E(f318(f318(f23(f905(x89121,a894)),x89122),f318(f318(f300(x89121),x89123),f179(f905(x89121,a894)))),f179(f905(x89121,a894)))+~P1(f318(f318(f320(x89121),x89123),x89122))+E(f318(f318(f225(x89121),x89123),f12(x89121,f225(x89121),f318(f318(f23(f905(x89121,a894)),x89122),f318(f318(f300(x89121),x89123),f179(f905(x89121,a894)))))),f12(x89121,f225(x89121),x89122))
% 182.43/182.08 [8927]~P83(x89271)+~P1(f318(f28(x89271),x89273))+~P1(f318(f28(x89271),x89272))+E(f318(f318(f92(f905(x89271,a894)),x89272),x89273),f179(f905(x89271,a894)))+E(f318(f318(f92(x89271),f10(x89271,f318(f318(f101(f905(x89271,a894)),x89272),x89273))),f10(x89271,f318(f318(f92(f905(x89271,a894)),x89272),x89273))),f318(f318(f92(x89271),f10(x89271,x89272)),f10(x89271,x89273)))
% 182.43/182.08 [8928]~P83(x89281)+~P1(f318(f28(x89281),x89283))+~P1(f318(f28(x89281),x89282))+E(f318(f318(f92(f905(x89281,a894)),x89282),x89283),f179(f905(x89281,a894)))+E(f318(f318(f101(x89281),f13(x89281,f318(f318(f101(f905(x89281,a894)),x89282),x89283))),f13(x89281,f318(f318(f92(f905(x89281,a894)),x89282),x89283))),f318(f318(f101(x89281),f13(x89281,x89282)),f13(x89281,x89283)))
% 182.43/182.08 [8929]~P82(x89291)+~P1(f318(f28(x89291),x89293))+~P1(f318(f28(x89291),x89292))+E(f318(f318(f92(f905(x89291,a894)),x89292),x89293),f179(f905(x89291,a894)))+E(f318(f318(f224(x89291),f14(x89291,f318(f318(f101(f905(x89291,a894)),x89292),x89293))),f14(x89291,f318(f318(f92(f905(x89291,a894)),x89292),x89293))),f318(f318(f224(x89291),f14(x89291,x89292)),f14(x89291,x89293)))
% 182.43/182.08 [8930]~P82(x89301)+~P1(f318(f28(x89301),x89303))+~P1(f318(f28(x89301),x89302))+E(f318(f318(f92(f905(x89301,a894)),x89302),x89303),f179(f905(x89301,a894)))+E(f318(f318(f225(x89301),f15(x89301,f318(f318(f101(f905(x89301,a894)),x89302),x89303))),f15(x89301,f318(f318(f92(f905(x89301,a894)),x89302),x89303))),f318(f318(f225(x89301),f15(x89301,x89302)),f15(x89301,x89303)))
% 182.43/182.08 [9149]~P82(x91491)+~P1(f318(f28(x91491),x91493))+~P1(f318(f28(x91491),x91492))+E(f318(f318(f92(f905(x91491,a894)),x91492),x91493),f179(f905(x91491,a894)))+E(f318(f318(f224(x91491),f11(x91491,f224(x91491),f318(f318(f101(f905(x91491,a894)),x91492),x91493))),f11(x91491,f224(x91491),f318(f318(f92(f905(x91491,a894)),x91492),x91493))),f318(f318(f224(x91491),f11(x91491,f224(x91491),x91492)),f11(x91491,f224(x91491),x91493)))
% 182.43/182.08 [9150]~P82(x91501)+~P1(f318(f28(x91501),x91503))+~P1(f318(f28(x91501),x91502))+E(f318(f318(f92(f905(x91501,a894)),x91502),x91503),f179(f905(x91501,a894)))+E(f318(f318(f225(x91501),f12(x91501,f225(x91501),f318(f318(f101(f905(x91501,a894)),x91502),x91503))),f12(x91501,f225(x91501),f318(f318(f92(f905(x91501,a894)),x91502),x91503))),f318(f318(f225(x91501),f12(x91501,f225(x91501),x91502)),f12(x91501,f225(x91501),x91503)))
% 182.43/182.08 [9958]~P109(x99583)+E(x99581,x99582)+~P1(f318(f318(f226(x99583),f2(x99583)),x99582))+~P1(f318(f318(f226(x99583),f2(x99583)),x99581))+~E(f318(f318(f235(x99583),x99581),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))),f318(f318(f235(x99583),x99582),f318(f94(a898),f318(f318(f75(a1),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)),f318(f318(f23(a1),f318(f318(f75(a1),a78),a78)),a88)))))
% 182.43/182.08 [5964]~P3(x59642)+E(x59641,f2(x59642))+~E(f318(f318(f30(x59642),x59643),x59641),x59644)+E(x59643,f318(f318(f76(x59642),x59644),x59641))+~P1(f318(f318(f278(x59642),x59641),x59643))
% 182.43/182.08 [5965]~P3(x59652)+E(x59651,f2(x59652))+~E(x59653,f318(f318(f76(x59652),x59654),x59651))+E(f318(f318(f30(x59652),x59653),x59651),x59654)+~P1(f318(f318(f278(x59652),x59651),x59653))
% 182.43/182.08 [6441]E(f811(x64411,x64412,x64413),x64414)+E(f318(x64411,x64414),f2(a898))+~E(f318(f318(f6(x64413,a898),x64411),x64412),f73(a898))+~P1(f318(f28(x64413),x64412))+~P1(f318(f318(f320(x64413),x64414),x64412))
% 182.43/182.08 [6506]E(f812(x65061,x65062,x65063),x65064)+E(f318(x65061,x65064),f2(a898))+~E(f318(f318(f6(x65063,a898),x65061),x65062),f318(a103,f2(a898)))+~P1(f318(f28(x65063),x65062))+~P1(f318(f318(f320(x65063),x65064),x65062))
% 182.43/182.08 [6618]~P82(x66181)+~P5(x66181)+P1(f318(f318(f227(x66181),x66182),f31(x66181,x66183)))+~P1(f318(f318(f227(x66181),x66182),x66184))+~P1(f318(f318(f320(x66181),x66184),x66183))
% 182.43/182.08 [6795]~P82(x67951)+~P5(x67951)+~P1(f318(f318(f227(x67951),x67954),x67953))+P1(f318(f318(f227(x67951),f32(x67951,x67952)),x67953))+~P1(f318(f318(f320(x67951),x67954),x67952))
% 182.43/182.08 [7062]~P109(x70623)+E(x70621,x70622)+~E(f318(f318(f235(x70623),x70621),f318(a103,x70624)),f318(f318(f235(x70623),x70622),f318(a103,x70624)))+~P1(f318(f318(f226(x70623),f2(x70623)),x70622))+~P1(f318(f318(f226(x70623),f2(x70623)),x70621))
% 182.43/182.08 [7274]~E(f848(x72742,x72743,x72741,x72744),x72744)+~E(f318(x72742,x72744),f73(a898))+E(f318(f318(f6(x72741,a898),x72742),x72743),f73(a898))+~P1(f318(f28(x72741),x72743))+~P1(f318(f318(f320(x72741),x72744),x72743))
% 182.43/182.08 [7281]~P111(x72814)+~P129(x72814)+E(f318(x72811,f854(x72811,x72812,x72813,x72814)),f2(x72814))+~E(f318(f318(f9(x72813,x72814),x72811),x72812),f2(x72814))+~P1(f318(f28(x72813),x72812))
% 182.43/182.08 [7369]~E(f814(x73692,x73693,x73691,x73694),x73694)+~E(f318(x73692,x73694),f318(a103,f2(a898)))+E(f318(f318(f6(x73691,a898),x73692),x73693),f318(a103,f2(a898)))+~P1(f318(f28(x73691),x73693))+~P1(f318(f318(f320(x73691),x73694),x73693))
% 182.43/182.08 [8105]~E(f318(x81052,x81054),f73(a898))+~E(f318(x81052,f848(x81052,x81053,x81051,x81054)),f2(a898))+E(f318(f318(f6(x81051,a898),x81052),x81053),f73(a898))+~P1(f318(f28(x81051),x81053))+~P1(f318(f318(f320(x81051),x81054),x81053))
% 182.43/182.08 [8143]~E(f318(x81432,x81434),f318(a103,f2(a898)))+~E(f318(x81432,f814(x81432,x81433,x81431,x81434)),f2(a898))+E(f318(f318(f6(x81431,a898),x81432),x81433),f318(a103,f2(a898)))+~P1(f318(f28(x81431),x81433))+~P1(f318(f318(f320(x81431),x81434),x81433))
% 182.43/182.08 [8229]~P140(x82292)+~P120(x82292)+~P1(f318(x82291,x82294))+~P1(f318(f318(f278(x82292),x82293),f318(f318(f75(x82292),x82294),f2(x82292))))+P1(f318(x82291,f318(f318(f76(x82292),x82293),f844(x82293,x82291,x82292))))
% 182.43/182.08 [8695]~P82(x86951)+~P13(x86951,x86954)+P13(x86951,x86952)+~E(x86952,f318(f318(f142(x86951),x86953),x86954))+~P1(f318(f318(f226(x86951),x86953),f708(x86952,x86951,x86954,x86953)))
% 182.43/182.08 [8732]E(x87321,x87322)+E(f318(f318(f23(a1),f332(x87323,x87322,x87324,x87321)),f333(x87323,x87322,x87324,x87321)),x87321)+~E(f318(f318(f75(a1),x87321),x87324),x87322)+~P1(f318(f318(f227(a1),f2(a1)),x87324))+~P1(f318(f318(f320(a1),x87322),x87323))
% 182.43/182.08 [8733]E(x87331,x87332)+E(f318(f318(f75(a1),f334(x87333,x87332,x87334,x87331)),f335(x87333,x87332,x87334,x87331)),x87331)+~E(f318(f318(f23(a1),x87331),x87334),x87332)+~P1(f318(f318(f227(a1),f2(a1)),x87334))+~P1(f318(f318(f320(a1),x87332),x87333))
% 182.43/182.08 [8925]E(f318(x89251,f549(x89252,x89251,x89253,x89254)),x89252)+P1(f318(f318(f226(a898),x89254),f550(x89252,x89251,x89253,x89254)))+~P1(f318(f318(f226(a1),x89252),f318(x89251,x89253)))+~P1(f318(f318(f227(a898),x89254),x89253))+~P1(f318(f318(f226(a1),f318(x89251,x89254)),x89252))
% 182.43/182.08 [8926]~P82(x89261)+~P13(x89261,x89263)+P13(x89261,x89262)+~E(x89262,f318(f318(f142(x89261),x89264),x89263))+P1(f318(f318(f320(x89261),f708(x89262,x89261,x89263,x89264)),f318(f163(x89261),x89263)))
% 182.43/182.08 [8944]~P111(x89444)+~P129(x89444)+~E(f318(f318(f9(x89441,x89444),x89442),x89443),f2(x89444))+~P1(f318(f28(x89441),x89443))+P1(f318(f318(f320(x89441),f854(x89442,x89443,x89441,x89444)),x89443))
% 182.43/182.08 [8982]~E(f318(x89822,x89824),f73(a898))+E(f318(f318(f6(x89821,a898),x89822),x89823),f73(a898))+~P1(f318(f28(x89821),x89823))+~P1(f318(f318(f320(x89821),x89824),x89823))+P1(f318(f318(f320(x89821),f848(x89822,x89823,x89821,x89824)),x89823))
% 182.43/182.08 [8994]E(x89941,x89942)+~E(f318(f318(f75(a1),x89942),x89944),x89941)+~P1(f318(f318(f227(a1),f2(a1)),x89944))+~P1(f318(f318(f320(a1),x89941),x89943))+P1(f318(f318(f320(a1),f332(x89943,x89941,x89944,x89942)),x89943))
% 182.43/182.08 [8995]E(x89951,x89952)+~E(f318(f318(f23(a1),x89952),x89954),x89951)+~P1(f318(f318(f227(a1),f2(a1)),x89954))+~P1(f318(f318(f320(a1),x89951),x89953))+P1(f318(f318(f320(a1),f334(x89953,x89951,x89954,x89952)),x89953))
% 182.43/182.08 [8997]~E(f318(x89972,x89974),f318(a103,f2(a898)))+E(f318(f318(f6(x89971,a898),x89972),x89973),f318(a103,f2(a898)))+~P1(f318(f28(x89971),x89973))+~P1(f318(f318(f320(x89971),x89974),x89973))+P1(f318(f318(f320(x89971),f814(x89972,x89973,x89971,x89974)),x89973))
% 182.43/182.08 [9002]P57(x90022,x90023,x90024,x90021)+E(x90021,f179(f905(x90022,a894)))+~P1(f318(f28(x90022),x90024))+~P1(f318(f28(x90022),x90021))+P1(f318(f318(f320(x90022),f777(x90023,x90021,x90024,x90022)),x90024))
% 182.43/182.08 [9003]P57(x90032,x90033,x90034,x90031)+E(x90031,f179(f905(x90032,a894)))+~P1(f318(f28(x90032),x90034))+~P1(f318(f28(x90032),x90031))+P1(f318(f318(f320(x90032),f487(x90031,x90034,x90033,x90032)),x90034))
% 182.43/182.08 [9004]P57(x90042,x90043,x90044,x90041)+E(x90041,f179(f905(x90042,a894)))+~P1(f318(f28(x90042),x90044))+~P1(f318(f28(x90042),x90041))+P1(f318(f318(f320(x90042),f778(x90041,x90044,x90043,x90042)),x90044))
% 182.43/182.08 [9081]E(x90811,x90812)+~E(f318(f318(f75(a1),x90812),x90814),x90811)+~P1(f318(f318(f227(a1),f2(a1)),x90814))+~P1(f318(f318(f320(a1),x90811),x90813))+P1(f318(f318(f320(a1),f333(x90813,x90811,x90814,x90812)),f294(a1,f73(a1),x90814)))
% 182.43/182.08 [9082]E(x90821,x90822)+~E(f318(f318(f23(a1),x90822),x90824),x90821)+~P1(f318(f318(f227(a1),f2(a1)),x90824))+~P1(f318(f318(f320(a1),x90821),x90823))+P1(f318(f318(f320(a1),f335(x90823,x90821,x90824,x90822)),f294(a1,f73(a1),x90824)))
% 182.43/182.08 [9155]P1(f318(f318(f226(a898),x91551),f549(x91552,x91553,x91554,x91551)))+~P1(f318(f318(f226(a1),x91552),f318(x91553,x91554)))+P1(f318(f318(f226(a898),x91551),f550(x91552,x91553,x91554,x91551)))+~P1(f318(f318(f227(a898),x91551),x91554))+~P1(f318(f318(f226(a1),f318(x91553,x91551)),x91552))
% 182.43/182.08 [9270]E(f318(x92701,f549(x92702,x92701,x92703,x92704)),x92702)+~P1(f318(f318(f226(a1),x92702),f318(x92701,x92703)))+P1(f318(f318(f227(a898),f550(x92702,x92701,x92703,x92704)),x92703))+~P1(f318(f318(f227(a898),x92704),x92703))+~P1(f318(f318(f226(a1),f318(x92701,x92704)),x92702))
% 182.43/182.08 [9385]~P1(f318(f318(f278(a898),x93854),x93851))+~P1(f318(f318(f278(a898),x93854),x93853))+~P1(f318(f318(f278(a898),x93852),x93851))+P1(f318(f318(f278(a898),x93851),x93852))+P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x93853,x93852)),f281(a898,f278(a898),x93854,x93851)))
% 182.43/182.08 [9386]~P1(f318(f318(f278(a898),x93862),x93861))+~P1(f318(f318(f278(a898),x93863),x93864))+~P1(f318(f318(f278(a898),x93862),x93864))+P1(f318(f318(f278(a898),x93861),x93862))+P1(f318(f318(f227(f905(a898,a894)),f281(a898,f278(a898),x93861,x93863)),f281(a898,f278(a898),x93862,x93864)))
% 182.43/182.08 [9403]~P1(f318(f318(f226(a1),x94032),f318(x94033,x94034)))+P1(f318(f318(f226(a898),x94031),f550(x94032,x94033,x94034,x94031)))+P1(f318(f318(f226(a898),f549(x94032,x94033,x94034,x94031)),x94034))+~P1(f318(f318(f227(a898),x94031),x94034))+~P1(f318(f318(f226(a1),f318(x94033,x94031)),x94032))
% 182.43/182.08 [9404]~P1(f318(f318(f226(a1),x94042),f318(x94043,x94044)))+P1(f318(f318(f226(a898),x94041),f549(x94042,x94043,x94044,x94041)))+P1(f318(f318(f227(a898),f550(x94042,x94043,x94044,x94041)),x94044))+~P1(f318(f318(f227(a898),x94041),x94044))+~P1(f318(f318(f226(a1),f318(x94043,x94041)),x94042))
% 182.43/182.08 [9512]~P1(f318(f318(f226(a1),x95121),f318(x95122,x95123)))+P1(f318(f318(f227(a898),f550(x95121,x95122,x95123,x95124)),x95123))+~P1(f318(f318(f227(a898),x95124),x95123))+~P1(f318(f318(f226(a1),f318(x95122,x95124)),x95121))+P1(f318(f318(f226(a898),f549(x95121,x95122,x95123,x95124)),x95123))
% 182.43/182.08 [9606]E(x96061,f179(f905(x96062,a894)))+~P1(f318(f28(x96062),x96064))+~P1(f318(f28(x96062),x96061))+P1(f318(f318(f320(f904(f905(x96062,a894),f905(x96062,a894))),f318(f318(f243(f905(x96062,a894),f905(x96062,a894)),x96064),x96061)),f309(x96062,x96063)))+P1(f318(f318(f320(x96062),f496(x96063,x96061,x96064,x96062)),x96064))
% 182.43/182.08 [9607]E(x96071,f179(f905(x96072,a894)))+~P1(f318(f28(x96072),x96074))+~P1(f318(f28(x96072),x96071))+P1(f318(f318(f320(f904(f905(x96072,a894),f905(x96072,a894))),f318(f318(f243(f905(x96072,a894),f905(x96072,a894)),x96074),x96071)),f309(x96072,x96073)))+P1(f318(f318(f320(x96072),f551(x96073,x96071,x96074,x96072)),x96074))
% 182.43/182.08 [10279]E(f318(x102791,f549(x102792,x102791,x102793,x102794)),x102792)+~P1(f318(f318(f226(a1),x102792),f318(x102791,x102793)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x102791,f318(f318(f75(a898),f550(x102792,x102791,x102793,x102794)),f73(a898)))),f318(x102791,f550(x102792,x102791,x102793,x102794))))),f73(a1)))+~P1(f318(f318(f227(a898),x102794),x102793))+~P1(f318(f318(f226(a1),f318(x102791,x102794)),x102792))
% 182.43/182.08 [10280]~P1(f318(f318(f226(a1),x102802),f318(x102803,x102804)))+P1(f318(f318(f226(a898),x102801),f549(x102802,x102803,x102804,x102801)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x102803,f318(f318(f75(a898),f550(x102802,x102803,x102804,x102801)),f73(a898)))),f318(x102803,f550(x102802,x102803,x102804,x102801))))),f73(a1)))+~P1(f318(f318(f227(a898),x102801),x102804))+~P1(f318(f318(f226(a1),f318(x102803,x102801)),x102802))
% 182.43/182.08 [10281]~P1(f318(f318(f226(a1),x102811),f318(x102812,x102813)))+~P1(f318(f318(f226(a1),f318(f70(a1),f318(f318(f23(a1),f318(x102812,f318(f318(f75(a898),f550(x102811,x102812,x102813,x102814)),f73(a898)))),f318(x102812,f550(x102811,x102812,x102813,x102814))))),f73(a1)))+~P1(f318(f318(f227(a898),x102814),x102813))+~P1(f318(f318(f226(a1),f318(x102812,x102814)),x102811))+P1(f318(f318(f226(a898),f549(x102811,x102812,x102813,x102814)),x102813))
% 182.43/182.08 [7332]~P62(x73321)+P1(f318(f318(f227(x73321),x73322),f2(x73321)))+~P1(f318(f318(f226(x73321),x73323),f2(x73321)))+P1(f318(f318(f227(x73321),f2(x73321)),x73322))+P1(f318(f318(f226(x73321),x73323),f318(f318(f282(x73321),x73324),x73322)))
% 182.43/182.08 [7333]~P62(x73331)+P1(f318(f318(f227(x73331),x73332),f2(x73331)))+~P1(f318(f318(f227(x73331),x73333),f2(x73331)))+P1(f318(f318(f227(x73331),f2(x73331)),x73332))+P1(f318(f318(f227(x73331),x73333),f318(f318(f282(x73331),x73334),x73332)))
% 182.43/182.08 [7582]~P62(x75821)+P1(f318(f318(f226(x75821),x75822),f2(x75821)))+P1(f318(f318(f227(x75821),x75823),f2(x75821)))+P1(f318(f318(f227(x75821),f2(x75821)),x75823))+~P1(f318(f318(f226(x75821),x75822),f318(f318(f282(x75821),x75824),x75823)))
% 182.43/182.08 [7583]~P62(x75831)+P1(f318(f318(f227(x75831),x75832),f2(x75831)))+P1(f318(f318(f227(x75831),x75833),f2(x75831)))+P1(f318(f318(f227(x75831),f2(x75831)),x75833))+~P1(f318(f318(f227(x75831),x75832),f318(f318(f282(x75831),x75834),x75833)))
% 182.43/182.08 [7701]E(x77011,x77012)+~E(f318(f318(f155(x77013),x77014),x77011),f318(f318(f155(x77013),x77014),x77012))+~P1(f318(f128(x77013),x77014))+~P1(f318(f318(f227(a898),x77012),f318(f180(f899(x77013)),x77014)))+~P1(f318(f318(f227(a898),x77011),f318(f180(f899(x77013)),x77014)))
% 182.43/182.08 [8067]~P62(x80671)+~P1(f318(f318(f226(x80671),x80673),f2(x80671)))+P1(f318(f318(f227(x80671),f2(x80671)),x80672))+~P1(f318(f318(f226(x80671),x80674),f318(f318(f76(x80671),x80673),x80672)))+P1(f318(f318(f226(x80671),x80673),f318(f318(f282(x80671),x80674),x80672)))
% 182.43/182.08 [8068]~P62(x80681)+~P1(f318(f318(f227(x80681),x80683),f2(x80681)))+P1(f318(f318(f227(x80681),f2(x80681)),x80682))+~P1(f318(f318(f227(x80681),x80684),f318(f318(f76(x80681),x80683),x80682)))+P1(f318(f318(f227(x80681),x80683),f318(f318(f282(x80681),x80684),x80682)))
% 182.43/182.08 [8069]~P62(x80691)+~P1(f318(f318(f227(x80691),x80692),f2(x80691)))+P1(f318(f318(f227(x80691),f2(x80691)),x80692))+~P1(f318(f318(f226(x80691),x80694),f318(f318(f76(x80691),x80693),x80692)))+P1(f318(f318(f226(x80691),x80693),f318(f318(f282(x80691),x80694),x80692)))
% 182.43/182.08 [8070]~P62(x80701)+~P1(f318(f318(f227(x80701),x80702),f2(x80701)))+P1(f318(f318(f227(x80701),f2(x80701)),x80702))+~P1(f318(f318(f226(x80701),x80704),f318(f318(f282(x80701),x80703),x80702)))+P1(f318(f318(f226(x80701),x80703),f318(f318(f76(x80701),x80704),x80702)))
% 182.43/182.08 [8071]~P62(x80711)+~P1(f318(f318(f227(x80711),x80712),f2(x80711)))+P1(f318(f318(f227(x80711),f2(x80711)),x80712))+~P1(f318(f318(f227(x80711),x80714),f318(f318(f76(x80711),x80713),x80712)))+P1(f318(f318(f227(x80711),x80713),f318(f318(f282(x80711),x80714),x80712)))
% 182.43/182.08 [8072]~P62(x80721)+~P1(f318(f318(f227(x80721),x80722),f2(x80721)))+P1(f318(f318(f227(x80721),f2(x80721)),x80722))+~P1(f318(f318(f227(x80721),x80724),f318(f318(f282(x80721),x80723),x80722)))+P1(f318(f318(f227(x80721),x80723),f318(f318(f76(x80721),x80724),x80722)))
% 182.43/182.08 [8197]~P3(x81971)+~P1(f318(f318(f278(x81971),x81973),x81974))+~P1(f318(f318(f278(x81971),x81973),x81972))+~P1(f318(f318(f278(x81971),x81972),x81974))+P1(f318(f318(f278(x81971),f318(f318(f30(x81971),x81972),x81973)),f318(f318(f30(x81971),x81974),x81973)))
% 182.43/182.08 [8212]~P82(x82121)+~P13(x82121,x82122)+~P1(f318(f318(f226(a898),x82123),x82124))+P1(f318(f318(f226(x82121),f318(f318(f155(x82121),x82122),x82123)),f318(f318(f155(x82121),x82122),x82124)))+~P1(f318(f318(f227(a898),x82124),f318(f180(f899(x82121)),x82122)))
% 182.43/182.08 [8265]~P109(x82651)+~P1(f318(f318(f226(x82651),x82652),f73(x82651)))+~P1(f318(f318(f226(x82651),f2(x82651)),x82652))+~P1(f318(f318(f226(a898),x82654),x82653))+P1(f318(f318(f226(x82651),f318(f318(f235(x82651),x82652),x82653)),f318(f318(f235(x82651),x82652),x82654)))
% 182.43/182.08 [8266]~P109(x82661)+~P1(f318(f318(f227(x82661),x82662),f73(x82661)))+~P1(f318(f318(f227(x82661),f2(x82661)),x82662))+~P1(f318(f318(f227(a898),x82664),x82663))+P1(f318(f318(f227(x82661),f318(f318(f235(x82661),x82662),x82663)),f318(f318(f235(x82661),x82662),x82664)))
% 182.43/182.08 [8267]~P109(x82671)+~P1(f318(f318(f226(x82671),f2(x82671)),x82672))+~P1(f318(f318(f227(a898),f2(a898)),x82673))+~P1(f318(f318(f227(x82671),x82672),x82674))+P1(f318(f318(f227(x82671),f318(f318(f235(x82671),x82672),x82673)),f318(f318(f235(x82671),x82674),x82673)))
% 182.43/182.08 [8285]~P82(x82851)+~P13(x82851,f318(f159(x82851),x82852))+~P1(f318(f318(f226(a898),x82854),x82853))+P1(f318(f318(f226(x82851),f318(f318(f155(x82851),x82852),x82853)),f318(f318(f155(x82851),x82852),x82854)))+~P1(f318(f318(f227(a898),x82853),f318(f180(f899(x82851)),x82852)))
% 182.43/182.08 [8517]~P3(x85171)+P1(f318(f318(f278(x85171),x85172),x85173))+~P1(f318(f318(f278(x85171),x85174),x85173))+~P1(f318(f318(f278(x85171),x85174),x85172))+~P1(f318(f318(f278(x85171),f318(f318(f30(x85171),x85172),x85174)),f318(f318(f30(x85171),x85173),x85174)))
% 182.43/182.08 [8532]~P62(x85321)+~P1(f318(f318(f226(x85321),x85322),f2(x85321)))+~P1(f318(f318(f226(x85321),x85323),x85324))+~P1(f318(f318(f227(x85321),f2(x85321)),f318(f318(f76(x85321),x85323),x85324)))+P1(f318(f318(f226(x85321),f318(f318(f282(x85321),x85322),x85323)),f318(f318(f282(x85321),x85322),x85324)))
% 182.43/182.08 [8533]~P63(x85331)+~P1(f318(f318(f227(x85331),x85332),f2(x85331)))+~P1(f318(f318(f227(x85331),x85333),x85334))+~P1(f318(f318(f227(x85331),f2(x85331)),f318(f318(f76(x85331),x85333),x85334)))+P1(f318(f318(f227(x85331),f318(f318(f282(x85331),x85332),x85333)),f318(f318(f282(x85331),x85332),x85334)))
% 182.43/182.08 [8542]~P63(x85421)+~P1(f318(f318(f226(x85421),x85424),x85423))+~P1(f318(f318(f226(x85421),f2(x85421)),x85422))+~P1(f318(f318(f227(x85421),f2(x85421)),f318(f318(f76(x85421),x85423),x85424)))+P1(f318(f318(f226(x85421),f318(f318(f282(x85421),x85422),x85423)),f318(f318(f282(x85421),x85422),x85424)))
% 182.43/182.08 [8543]~P63(x85431)+~P1(f318(f318(f227(x85431),x85434),x85433))+~P1(f318(f318(f227(x85431),f2(x85431)),x85432))+~P1(f318(f318(f227(x85431),f2(x85431)),f318(f318(f76(x85431),x85433),x85434)))+P1(f318(f318(f227(x85431),f318(f318(f282(x85431),x85432),x85433)),f318(f318(f282(x85431),x85432),x85434)))
% 182.43/182.08 [8643]P1(f318(x86431,x86432))+~P1(f318(f28(x86434),x86432))+P1(f318(x86431,f382(x86431,x86433,x86432,x86434)))+~P1(f318(x86431,f179(f905(x86434,a894))))+~P1(f318(f318(f226(f905(x86434,a894)),x86432),x86433))
% 182.43/182.08 [8652]P1(f318(x86521,x86522))+P1(f318(f28(x86523),f382(x86521,x86524,x86522,x86523)))+~P1(f318(f28(x86523),x86522))+~P1(f318(x86521,f179(f905(x86523,a894))))+~P1(f318(f318(f226(f905(x86523,a894)),x86522),x86524))
% 182.43/182.08 [8920]E(f318(f318(f75(a1),f336(x89201,x89202,x89203,x89204)),f337(x89201,x89202,x89203,x89204)),x89204)+~P1(f318(f318(f227(a1),f2(a1)),x89203))+~P1(f318(f318(f227(a1),x89202),x89204))+~P1(f318(f318(f320(a1),x89202),x89201))+P1(f318(f318(f227(a1),x89202),f318(f318(f23(a1),x89204),x89203)))
% 182.43/182.08 [9137]~P1(f318(f318(f227(a1),f2(a1)),x91373))+~P1(f318(f318(f227(a1),x91372),x91374))+~P1(f318(f318(f320(a1),x91372),x91371))+P1(f318(f318(f320(a1),f336(x91371,x91372,x91373,x91374)),x91371))+P1(f318(f318(f227(a1),x91372),f318(f318(f23(a1),x91374),x91373)))
% 182.43/182.08 [9148]P1(f318(x91481,x91482))+~P1(f318(f28(x91483),x91482))+P1(f318(f318(f320(x91483),f373(x91481,x91484,x91482,x91483)),x91484))+~P1(f318(x91481,f179(f905(x91483,a894))))+~P1(f318(f318(f226(f905(x91483,a894)),x91482),x91484))
% 182.43/182.08 [9165]E(f318(f318(f75(a1),f331(x91651,x91652,x91653,x91654)),f890(x91651,x91652,x91653,x91654)),x91654)+~P1(f318(f318(f227(a1),f2(a1)),x91653))+~P1(f318(f318(f226(a1),x91652),x91654))+P1(f318(f318(f226(a1),x91652),f318(f318(f23(a1),x91654),x91653)))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x91652),f73(a1))),x91651))
% 182.43/182.08 [9220]~P1(f318(f318(f227(a1),f2(a1)),x92203))+~P1(f318(f318(f227(a1),x92201),x92202))+~P1(f318(f318(f320(a1),x92201),x92204))+P1(f318(f318(f320(a1),f337(x92204,x92201,x92203,x92202)),f294(a1,f73(a1),x92203)))+P1(f318(f318(f227(a1),x92201),f318(f318(f23(a1),x92202),x92203)))
% 182.43/182.08 [9246]~P74(x92462)+~E(f761(x92463,x92464,x92461,x92462),f762(x92463,x92464,x92461,x92462))+~P1(f318(f28(x92461),f763(x92463,x92464,x92461,x92462)))+E(f318(f318(f6(f905(x92461,a894),x92462),f318(f6(x92461,x92462),x92463)),x92464),f318(f318(f6(x92461,x92462),x92463),f31(f905(x92461,a894),x92464)))+~P1(f318(f28(f905(x92461,a894)),x92464))
% 182.43/182.08 [9250]~P74(x92502)+~E(f318(x92503,f764(x92503,x92504,x92501,x92502)),f2(x92502))+~P1(f318(f28(x92501),f763(x92503,x92504,x92501,x92502)))+E(f318(f318(f6(f905(x92501,a894),x92502),f318(f6(x92501,x92502),x92503)),x92504),f318(f318(f6(x92501,x92502),x92503),f31(f905(x92501,a894),x92504)))+~P1(f318(f28(f905(x92501,a894)),x92504))
% 182.43/182.08 [9314]~P1(f318(f318(f227(a1),f2(a1)),x93143))+~P1(f318(f318(f226(a1),x93142),x93144))+P1(f318(f318(f320(a1),f331(x93141,x93142,x93143,x93144)),x93141))+P1(f318(f318(f226(a1),x93142),f318(f318(f23(a1),x93144),x93143)))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x93142),f73(a1))),x93141))
% 182.43/182.08 [9360]~P1(f318(f318(f227(a1),f2(a1)),x93603))+~P1(f318(f318(f226(a1),x93601),x93602))+P1(f318(f318(f320(a1),f890(x93604,x93601,x93603,x93602)),f294(a1,f73(a1),x93603)))+P1(f318(f318(f226(a1),x93601),f318(f318(f23(a1),x93602),x93603)))+~P1(f318(f318(f320(a1),f318(f318(f23(a1),x93601),f73(a1))),x93604))
% 182.43/182.08 [9381]~P74(x93812)+~E(f761(x93813,x93814,x93811,x93812),f762(x93813,x93814,x93811,x93812))+E(f318(f318(f6(f905(x93811,a894),x93812),f318(f6(x93811,x93812),x93813)),x93814),f318(f318(f6(x93811,x93812),x93813),f31(f905(x93811,a894),x93814)))+P1(f318(f318(f320(f905(x93811,a894)),f763(x93813,x93814,x93811,x93812)),x93814))+~P1(f318(f28(f905(x93811,a894)),x93814))
% 182.43/182.08 [9388]~P74(x93882)+~E(f318(x93883,f764(x93883,x93884,x93881,x93882)),f2(x93882))+E(f318(f318(f6(f905(x93881,a894),x93882),f318(f6(x93881,x93882),x93883)),x93884),f318(f318(f6(x93881,x93882),x93883),f31(f905(x93881,a894),x93884)))+P1(f318(f318(f320(f905(x93881,a894)),f763(x93883,x93884,x93881,x93882)),x93884))+~P1(f318(f28(f905(x93881,a894)),x93884))
% 182.43/182.08 [9489]~P74(x94892)+~P1(f318(f28(x94891),f763(x94893,x94894,x94891,x94892)))+E(f318(f318(f6(f905(x94891,a894),x94892),f318(f6(x94891,x94892),x94893)),x94894),f318(f318(f6(x94891,x94892),x94893),f31(f905(x94891,a894),x94894)))+P1(f318(f318(f320(f905(x94891,a894)),f762(x94893,x94894,x94891,x94892)),x94894))+~P1(f318(f28(f905(x94891,a894)),x94894))
% 182.43/182.08 [9490]~P74(x94902)+~P1(f318(f28(x94901),f763(x94903,x94904,x94901,x94902)))+E(f318(f318(f6(f905(x94901,a894),x94902),f318(f6(x94901,x94902),x94903)),x94904),f318(f318(f6(x94901,x94902),x94903),f31(f905(x94901,a894),x94904)))+P1(f318(f318(f320(f905(x94901,a894)),f761(x94903,x94904,x94901,x94902)),x94904))+~P1(f318(f28(f905(x94901,a894)),x94904))
% 182.43/182.08 [9570]~P74(x95702)+E(f318(f318(f6(f905(x95701,a894),x95702),f318(f6(x95701,x95702),x95703)),x95704),f318(f318(f6(x95701,x95702),x95703),f31(f905(x95701,a894),x95704)))+P1(f318(f318(f320(f905(x95701,a894)),f763(x95703,x95704,x95701,x95702)),x95704))+P1(f318(f318(f320(f905(x95701,a894)),f762(x95703,x95704,x95701,x95702)),x95704))+~P1(f318(f28(f905(x95701,a894)),x95704))
% 182.43/182.08 [9571]~P74(x95712)+E(f318(f318(f6(f905(x95711,a894),x95712),f318(f6(x95711,x95712),x95713)),x95714),f318(f318(f6(x95711,x95712),x95713),f31(f905(x95711,a894),x95714)))+P1(f318(f318(f320(f905(x95711,a894)),f763(x95713,x95714,x95711,x95712)),x95714))+P1(f318(f318(f320(f905(x95711,a894)),f761(x95713,x95714,x95711,x95712)),x95714))+~P1(f318(f28(f905(x95711,a894)),x95714))
% 182.43/182.08 [9592]~P74(x95922)+P1(f318(f318(f320(x95921),f764(x95923,x95924,x95921,x95922)),f762(x95923,x95924,x95921,x95922)))+~P1(f318(f28(x95921),f763(x95923,x95924,x95921,x95922)))+E(f318(f318(f6(f905(x95921,a894),x95922),f318(f6(x95921,x95922),x95923)),x95924),f318(f318(f6(x95921,x95922),x95923),f31(f905(x95921,a894),x95924)))+~P1(f318(f28(f905(x95921,a894)),x95924))
% 182.43/182.08 [9593]~P74(x95932)+P1(f318(f318(f320(x95931),f764(x95933,x95934,x95931,x95932)),f761(x95933,x95934,x95931,x95932)))+~P1(f318(f28(x95931),f763(x95933,x95934,x95931,x95932)))+E(f318(f318(f6(f905(x95931,a894),x95932),f318(f6(x95931,x95932),x95933)),x95934),f318(f318(f6(x95931,x95932),x95933),f31(f905(x95931,a894),x95934)))+~P1(f318(f28(f905(x95931,a894)),x95934))
% 182.43/182.08 [9610]P1(f318(x96101,x96102))+~P1(f318(f318(f320(x96103),f373(x96101,x96104,x96102,x96103)),f382(x96101,x96104,x96102,x96103)))+~P1(f318(f28(x96103),x96102))+~P1(f318(x96101,f179(f905(x96103,a894))))+~P1(f318(f318(f226(f905(x96103,a894)),x96102),x96104))
% 182.43/182.08 [9647]~P74(x96472)+P1(f318(f318(f320(x96471),f764(x96473,x96474,x96471,x96472)),f762(x96473,x96474,x96471,x96472)))+E(f318(f318(f6(f905(x96471,a894),x96472),f318(f6(x96471,x96472),x96473)),x96474),f318(f318(f6(x96471,x96472),x96473),f31(f905(x96471,a894),x96474)))+P1(f318(f318(f320(f905(x96471,a894)),f763(x96473,x96474,x96471,x96472)),x96474))+~P1(f318(f28(f905(x96471,a894)),x96474))
% 182.43/182.08 [9648]~P74(x96482)+P1(f318(f318(f320(x96481),f764(x96483,x96484,x96481,x96482)),f761(x96483,x96484,x96481,x96482)))+E(f318(f318(f6(f905(x96481,a894),x96482),f318(f6(x96481,x96482),x96483)),x96484),f318(f318(f6(x96481,x96482),x96483),f31(f905(x96481,a894),x96484)))+P1(f318(f318(f320(f905(x96481,a894)),f763(x96483,x96484,x96481,x96482)),x96484))+~P1(f318(f28(f905(x96481,a894)),x96484))
% 182.43/182.08 [9823]P1(f318(x98231,x98232))+~P1(f318(f28(x98233),x98232))+~P1(f318(x98231,f318(f318(f300(x98233),f373(x98231,x98234,x98232,x98233)),f382(x98231,x98234,x98232,x98233))))+~P1(f318(x98231,f179(f905(x98233,a894))))+~P1(f318(f318(f226(f905(x98233,a894)),x98232),x98234))
% 182.43/182.08 [7837]~P62(x78371)+P1(f318(f318(f227(x78371),x78372),f2(x78371)))+~P1(f318(f318(f226(x78371),f2(x78371)),x78374))+P1(f318(f318(f227(x78371),f2(x78371)),x78372))+P1(f318(f318(f226(x78371),f318(f318(f282(x78371),x78373),x78372)),x78374))
% 182.43/182.08 [7838]~P62(x78381)+P1(f318(f318(f227(x78381),x78382),f2(x78381)))+P1(f318(f318(f227(x78381),f2(x78381)),x78382))+~P1(f318(f318(f227(x78381),f2(x78381)),x78384))+P1(f318(f318(f227(x78381),f318(f318(f282(x78381),x78383),x78382)),x78384))
% 182.43/182.08 [8118]~P1(f318(f318(f226(a1),x81184),f2(a1)))+~E(x81182,f318(f318(f75(a1),f318(f318(f76(a1),x81181),x81183)),x81184))+P1(f318(f318(f227(a1),f2(a1)),x81181))+~P1(f318(f318(f227(a1),x81181),x81184))+P1(f318(f44(x81182,x81181),f318(f318(f243(a1,a1),x81183),x81184)))
% 182.43/182.08 [8152]~P1(f318(x81521,x81524))+P1(f318(x81521,f350(x81522,x81521,x81523)))+~P1(f318(f318(f226(a1),f2(a1)),x81522))+~P1(f318(f318(f227(a1),f2(a1)),x81523))+P1(f318(x81521,f318(f318(f23(a1),x81524),f318(f318(f76(a1),x81522),x81523))))
% 182.43/182.08 [8153]~P1(f318(x81531,x81534))+P1(f318(x81531,f362(x81532,x81531,x81533)))+~P1(f318(f318(f226(a1),f2(a1)),x81532))+~P1(f318(f318(f227(a1),f2(a1)),x81533))+P1(f318(x81531,f318(f318(f75(a1),x81534),f318(f318(f76(a1),x81532),x81533))))
% 182.43/182.08 [8154]~P62(x81541)+P1(f318(f318(f227(x81541),x81542),f2(x81541)))+P1(f318(f318(f227(x81541),f2(x81541)),x81542))+P1(f318(f318(f226(x81541),f2(x81541)),x81543))+~P1(f318(f318(f226(x81541),f318(f318(f282(x81541),x81544),x81542)),x81543))
% 182.43/182.08 [8155]~P62(x81551)+P1(f318(f318(f227(x81551),x81552),f2(x81551)))+P1(f318(f318(f227(x81551),f2(x81551)),x81552))+P1(f318(f318(f227(x81551),f2(x81551)),x81553))+~P1(f318(f318(f227(x81551),f318(f318(f282(x81551),x81554),x81552)),x81553))
% 182.43/182.08 [8207]~E(x82071,f318(f318(f75(a1),f318(f318(f76(a1),x82072),x82073)),x82074))+~P1(f318(f318(f226(a1),f2(a1)),x82074))+~P1(f318(f318(f227(a1),f2(a1)),x82072))+~P1(f318(f318(f227(a1),x82074),x82072))+P1(f318(f44(x82071,x82072),f318(f318(f243(a1,a1),x82073),x82074)))
% 182.43/182.08 [8324]~P62(x83241)+P1(f318(f318(f227(x83241),x83242),f2(x83241)))+~P1(f318(f318(f226(x83241),f2(x83241)),x83244))+~P1(f318(f318(f226(x83241),x83243),f318(f318(f76(x83241),x83244),x83242)))+P1(f318(f318(f226(x83241),f318(f318(f282(x83241),x83243),x83242)),x83244))
% 182.43/182.08 [8325]~P62(x83251)+P1(f318(f318(f227(x83251),x83252),f2(x83251)))+~P1(f318(f318(f227(x83251),f2(x83251)),x83254))+~P1(f318(f318(f227(x83251),x83253),f318(f318(f76(x83251),x83254),x83252)))+P1(f318(f318(f227(x83251),f318(f318(f282(x83251),x83253),x83252)),x83254))
% 182.43/182.08 [8411]~P62(x84111)+P1(f318(f318(f227(x84111),x84112),f2(x84111)))+~P1(f318(f318(f226(x84111),x84113),f2(x84111)))+P1(f318(f318(f226(x84111),x84113),f318(f318(f282(x84111),x84114),x84112)))+~P1(f318(f318(f226(x84111),f318(f318(f76(x84111),x84113),x84112)),x84114))
% 182.43/182.08 [8412]~P62(x84121)+P1(f318(f318(f227(x84121),x84122),f2(x84121)))+~P1(f318(f318(f227(x84121),x84123),f2(x84121)))+P1(f318(f318(f227(x84121),x84123),f318(f318(f282(x84121),x84124),x84122)))+~P1(f318(f318(f227(x84121),f318(f318(f76(x84121),x84123),x84122)),x84124))
% 182.43/182.08 [8564]~P62(x85641)+~P1(f318(f318(f227(x85641),x85642),f2(x85641)))+P1(f318(f318(f227(x85641),f2(x85641)),x85642))+~P1(f318(f318(f226(x85641),f318(f318(f282(x85641),x85644),x85642)),x85643))+P1(f318(f318(f226(x85641),f318(f318(f76(x85641),x85643),x85642)),x85644))
% 182.43/182.08 [8565]~P62(x85651)+~P1(f318(f318(f227(x85651),x85652),f2(x85651)))+P1(f318(f318(f227(x85651),f2(x85651)),x85652))+~P1(f318(f318(f226(x85651),f318(f318(f76(x85651),x85654),x85652)),x85653))+P1(f318(f318(f226(x85651),f318(f318(f282(x85651),x85653),x85652)),x85654))
% 182.43/182.08 [8566]~P62(x85661)+~P1(f318(f318(f227(x85661),x85662),f2(x85661)))+P1(f318(f318(f227(x85661),f2(x85661)),x85662))+~P1(f318(f318(f227(x85661),f318(f318(f282(x85661),x85664),x85662)),x85663))+P1(f318(f318(f227(x85661),f318(f318(f76(x85661),x85663),x85662)),x85664))
% 182.43/182.08 [8567]~P62(x85671)+~P1(f318(f318(f227(x85671),x85672),f2(x85671)))+P1(f318(f318(f227(x85671),f2(x85671)),x85672))+~P1(f318(f318(f227(x85671),f318(f318(f76(x85671),x85674),x85672)),x85673))+P1(f318(f318(f227(x85671),f318(f318(f282(x85671),x85673),x85672)),x85674))
% 182.43/182.08 [8583]~P62(x85831)+~P1(f318(f318(f226(x85831),f2(x85831)),x85834))+P1(f318(f318(f227(x85831),f2(x85831)),x85832))+~P1(f318(f318(f226(x85831),f318(f318(f76(x85831),x85834),x85832)),x85833))+P1(f318(f318(f226(x85831),f318(f318(f282(x85831),x85833),x85832)),x85834))
% 182.43/182.08 [8584]~P62(x85841)+~P1(f318(f318(f227(x85841),f2(x85841)),x85844))+P1(f318(f318(f227(x85841),f2(x85841)),x85842))+~P1(f318(f318(f227(x85841),f318(f318(f76(x85841),x85844),x85842)),x85843))+P1(f318(f318(f227(x85841),f318(f318(f282(x85841),x85843),x85842)),x85844))
% 182.43/182.08 [8660]~P62(x86601)+~P1(f318(f318(f227(x86601),x86604),f2(x86601)))+~P1(f318(f318(f226(x86601),x86603),f318(f318(f76(x86601),x86602),x86604)))+P1(f318(f318(f226(x86601),x86602),f318(f318(f282(x86601),x86603),x86604)))+~P1(f318(f318(f226(x86601),f318(f318(f76(x86601),x86602),x86604)),x86603))
% 182.43/182.08 [8661]~P62(x86611)+~P1(f318(f318(f226(x86611),x86612),f2(x86611)))+~P1(f318(f318(f226(x86611),x86613),f318(f318(f76(x86611),x86612),x86614)))+P1(f318(f318(f226(x86611),x86612),f318(f318(f282(x86611),x86613),x86614)))+~P1(f318(f318(f226(x86611),f318(f318(f76(x86611),x86612),x86614)),x86613))
% 182.43/182.08 [8662]~P62(x86621)+~P1(f318(f318(f227(x86621),x86624),f2(x86621)))+~P1(f318(f318(f227(x86621),x86623),f318(f318(f76(x86621),x86622),x86624)))+P1(f318(f318(f227(x86621),x86622),f318(f318(f282(x86621),x86623),x86624)))+~P1(f318(f318(f227(x86621),f318(f318(f76(x86621),x86622),x86624)),x86623))
% 182.43/182.08 [8663]~P62(x86631)+~P1(f318(f318(f227(x86631),x86632),f2(x86631)))+~P1(f318(f318(f227(x86631),x86633),f318(f318(f76(x86631),x86632),x86634)))+P1(f318(f318(f227(x86631),x86632),f318(f318(f282(x86631),x86633),x86634)))+~P1(f318(f318(f227(x86631),f318(f318(f76(x86631),x86632),x86634)),x86633))
% 182.43/182.08 [8785]~P62(x87851)+~P1(f318(f318(f227(x87851),x87853),f2(x87851)))+~P1(f318(f318(f226(x87851),x87852),f318(f318(f76(x87851),x87854),x87853)))+~P1(f318(f318(f226(x87851),f318(f318(f76(x87851),x87854),x87853)),x87852))+P1(f318(f318(f226(x87851),f318(f318(f282(x87851),x87852),x87853)),x87854))
% 182.43/182.08 [8786]~P62(x87861)+~P1(f318(f318(f227(x87861),x87863),f2(x87861)))+~P1(f318(f318(f227(x87861),x87862),f318(f318(f76(x87861),x87864),x87863)))+~P1(f318(f318(f227(x87861),f318(f318(f76(x87861),x87864),x87863)),x87862))+P1(f318(f318(f227(x87861),f318(f318(f282(x87861),x87862),x87863)),x87864))
% 182.43/182.08 [8803]~P62(x88031)+~P1(f318(f318(f226(x88031),f2(x88031)),x88034))+~P1(f318(f318(f226(x88031),x88032),f318(f318(f76(x88031),x88034),x88033)))+~P1(f318(f318(f226(x88031),f318(f318(f76(x88031),x88034),x88033)),x88032))+P1(f318(f318(f226(x88031),f318(f318(f282(x88031),x88032),x88033)),x88034))
% 182.43/182.08 [8804]~P62(x88041)+~P1(f318(f318(f227(x88041),f2(x88041)),x88044))+~P1(f318(f318(f227(x88041),x88042),f318(f318(f76(x88041),x88044),x88043)))+~P1(f318(f318(f227(x88041),f318(f318(f76(x88041),x88044),x88043)),x88042))+P1(f318(f318(f227(x88041),f318(f318(f282(x88041),x88042),x88043)),x88044))
% 182.43/182.08 [8987]E(f318(f318(f23(a1),f342(x89871,x89872,x89873,x89874)),f338(x89871,x89872,x89873,x89874)),x89874)+~P1(f318(f318(f227(a1),f2(a1)),x89873))+~P1(f318(f318(f320(a1),x89872),x89871))+~P1(f318(f318(f227(a1),x89874),x89872))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x89874),x89873)),x89872))
% 182.43/182.08 [9062]~P1(f318(x90621,x90622))+~P1(f318(f318(f226(a1),f2(a1)),x90623))+~P1(f318(f318(f227(a1),f2(a1)),x90624))+~P1(f318(x90621,f318(f318(f23(a1),f350(x90623,x90621,x90624)),x90624)))+P1(f318(x90621,f318(f318(f23(a1),x90622),f318(f318(f76(a1),x90623),x90624))))
% 182.43/182.08 [9063]~P1(f318(x90631,x90632))+~P1(f318(f318(f226(a1),f2(a1)),x90633))+~P1(f318(f318(f227(a1),f2(a1)),x90634))+~P1(f318(x90631,f318(f318(f75(a1),f362(x90633,x90631,x90634)),x90634)))+P1(f318(x90631,f318(f318(f75(a1),x90632),f318(f318(f76(a1),x90633),x90634))))
% 182.43/182.08 [9213]~P1(f318(f318(f227(a1),f2(a1)),x92133))+~P1(f318(f318(f320(a1),x92132),x92131))+~P1(f318(f318(f227(a1),x92134),x92132))+P1(f318(f318(f320(a1),f342(x92131,x92132,x92133,x92134)),x92131))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x92134),x92133)),x92132))
% 182.43/182.08 [9233]E(f318(f318(f23(a1),f891(x92331,x92332,x92333,x92334)),f892(x92331,x92332,x92333,x92334)),x92334)+~P1(f318(f318(f227(a1),f2(a1)),x92333))+~P1(f318(f318(f226(a1),x92334),x92332))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x92332),f73(a1))),x92331))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x92334),x92333)),x92332))
% 182.43/182.08 [9261]~P1(f318(f318(f227(a1),f2(a1)),x92612))+~P1(f318(f318(f320(a1),x92613),x92614))+~P1(f318(f318(f227(a1),x92611),x92613))+P1(f318(f318(f320(a1),f338(x92614,x92613,x92612,x92611)),f294(a1,f73(a1),x92612)))+P1(f318(f318(f227(a1),f318(f318(f75(a1),x92611),x92612)),x92613))
% 182.43/182.08 [9352]~P1(f318(f318(f227(a1),f2(a1)),x93523))+~P1(f318(f318(f226(a1),x93524),x93522))+P1(f318(f318(f320(a1),f891(x93521,x93522,x93523,x93524)),x93521))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x93522),f73(a1))),x93521))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x93524),x93523)),x93522))
% 182.43/182.08 [9399]~P1(f318(f318(f227(a1),f2(a1)),x93992))+~P1(f318(f318(f226(a1),x93991),x93993))+P1(f318(f318(f320(a1),f892(x93994,x93993,x93992,x93991)),f294(a1,f73(a1),x93992)))+~P1(f318(f318(f320(a1),f318(f318(f75(a1),x93993),f73(a1))),x93994))+P1(f318(f318(f226(a1),f318(f318(f75(a1),x93991),x93992)),x93993))
% 182.43/182.08 [9701]~P36(x97011,x97013)+~P26(x97011,x97014)+P36(x97011,f318(f318(f101(f905(f904(x97011,x97011),a894)),x97012),x97013))+~P1(f318(f318(f226(f905(f904(x97011,x97011),a894)),x97012),f318(f242(f905(f904(x97011,x97011),a894),f905(f904(x97011,x97011),a894)),x97014)))+~P1(f318(f318(f226(f905(f904(x97011,x97011),a894)),x97013),f318(f247(f905(f904(x97011,x97011),a894),f905(f904(x97011,x97011),a894)),x97014)))
% 182.43/182.08 [10088]~P18(x100882,x100884,x100883)+E(x100881,f179(f905(x100882,a894)))+~P1(f318(f28(x100882),x100881))+P1(f318(f318(f320(x100882),f318(x100883,x100881)),x100881))+~P1(f318(f318(f320(x100882),f318(f318(x100884,f413(x100881,x100883,x100884,x100882)),f428(x100881,x100883,x100884,x100882))),f318(f318(f300(x100882),f413(x100881,x100883,x100884,x100882)),f318(f318(f300(x100882),f428(x100881,x100883,x100884,x100882)),f179(f905(x100882,a894))))))
% 182.43/182.08 [10013]~P108(x100132)+~P59(x100131)+~P1(f318(f318(f226(f905(x100131,x100132)),x100133),x100134))+P1(f318(f318(f227(f905(x100131,x100132)),x100133),x100134))+~P1(f318(f51(x100131),f318(f318(f8(a894,a894,x100131),a313),f318(f318(f18(x100131,x100132,a894),f318(f318(f8(x100132,f905(x100132,a894),x100131),a315),x100133)),x100134))))
% 182.43/182.08 [9616]~P53(x96161,x96161,x96164)+P1(f318(f318(f320(f904(x96161,x96161)),f318(f318(f243(x96161,x96161),x96162),x96163)),f298(x96161,x96164)))+P1(f318(f318(f320(f904(x96161,x96161)),f318(f318(f243(x96161,x96161),x96163),x96162)),f298(x96161,x96164)))+~P1(f318(f318(f320(f904(x96161,x96161)),f318(f318(f243(x96161,x96161),x96165),x96162)),f298(x96161,x96164)))+~P1(f318(f318(f320(f904(x96161,x96161)),f318(f318(f243(x96161,x96161),x96165),x96163)),f298(x96161,x96164)))
% 182.43/182.08 [5694]E(x56941,f2(a898))+~E(f318(f29(x56942),x56945),x56941)+E(f318(f29(x56942),x56943),f318(a103,x56941))+~E(x56943,f318(f318(f300(x56942),x56944),x56945))+P1(f318(f318(f320(x56942),x56944),x56945))
% 182.43/182.08 [5816]~P61(x58162)+E(x58161,f2(x58162))+E(x58163,f2(x58162))+~E(f318(f318(f282(x58162),x58164),x58163),f318(f318(f282(x58162),x58165),x58161))+E(f318(f318(f76(x58162),x58164),x58161),f318(f318(f76(x58162),x58165),x58163))
% 182.43/182.08 [5817]~P61(x58172)+E(x58171,f2(x58172))+E(x58173,f2(x58172))+~E(f318(f318(f76(x58172),x58174),x58173),f318(f318(f76(x58172),x58175),x58171))+E(f318(f318(f282(x58172),x58174),x58171),f318(f318(f282(x58172),x58175),x58173))
% 182.43/182.08 [5895]~E(f318(f29(x58951),x58955),x58953)+~E(x58955,f179(f905(x58951,a894)))+E(f318(f29(x58951),x58952),f318(a103,x58953))+~E(x58952,f318(f318(f300(x58951),x58954),x58955))+P1(f318(f318(f320(x58951),x58954),x58955))
% 182.43/182.08 [6136]~P111(x61362)+~E(f318(x61363,x61365),f2(x61362))+E(f318(f318(f9(x61361,x61362),x61363),x61364),f2(x61362))+~P1(f318(f28(x61361),x61364))+~P1(f318(f318(f320(x61361),x61365),x61364))
% 182.43/182.08 [6519]~P82(x65193)+E(x65191,x65192)+~E(f318(f293(x65193,x65194),x65191),f318(f293(x65193,x65195),x65192))+~P1(f318(f318(f227(x65193),x65195),x65192))+~P1(f318(f318(f227(x65193),x65194),x65191))
% 182.43/182.08 [6520]~P82(x65203)+E(x65201,x65202)+~E(f318(f293(x65203,x65201),x65204),f318(f293(x65203,x65202),x65205))+~P1(f318(f318(f227(x65203),x65202),x65205))+~P1(f318(f318(f227(x65203),x65201),x65204))
% 182.43/182.08 [7599]~P82(x75991)+~P13(x75991,f318(f318(f125(x75991),x75994),x75995))+~P1(f318(f318(f320(x75991),x75993),f318(f163(x75991),x75995)))+~P1(f318(f318(f320(x75991),x75992),f318(f163(x75991),x75994)))+P1(f318(f318(f226(x75991),x75992),x75993))
% 182.43/182.08 [8697]~P108(x86971)+~P1(f318(f318(f227(f905(x86971,a894)),f294(x86971,x86975,x86972)),f294(x86971,x86974,x86973)))+~P1(f318(f318(f226(x86971),x86975),x86972))+P1(f318(f318(f227(x86971),x86972),x86973))+P1(f318(f318(f227(x86971),x86974),x86975))
% 182.43/182.08 [10131]~P17(x101312,x101315,x101313)+E(x101311,f179(f905(x101312,a894)))+~E(f318(f318(x101315,f318(x101314,f434(x101311,x101314,x101313,x101315,x101312))),f318(x101314,f447(x101311,x101314,x101313,x101315,x101312))),f318(x101314,f318(f318(x101315,f434(x101311,x101314,x101313,x101315,x101312)),f447(x101311,x101314,x101313,x101315,x101312))))+E(f318(x101313,f318(f301(x101312,x101312,x101314),x101311)),f318(x101314,f318(x101313,x101311)))+~P1(f318(f28(x101312),x101311))
% 182.43/182.08 [6516]~P18(x65162,x65165,x65163)+E(x65161,f179(f905(x65162,a894)))+~P1(f318(f28(x65162),x65161))+E(f318(x65163,f318(f318(f300(x65162),x65164),x65161)),f318(f318(x65165,x65164),f318(x65163,x65161)))+P1(f318(f318(f320(x65162),x65164),x65161))
% 182.43/182.08 [7360]~P17(x73602,x73603,x73604)+E(f318(f318(x73603,f318(x73604,x73601)),f318(x73604,x73605)),f318(x73604,x73605))+E(x73601,f179(f905(x73602,a894)))+~P1(f318(f28(x73602),x73605))+~P1(f318(f318(f226(f905(x73602,a894)),x73601),x73605))
% 182.43/182.08 [7736]~P18(x77364,x77365,x77361)+E(f318(x77361,x77362),x77363)+~P1(f318(f28(x77364),x77362))+~E(f318(f318(f23(f905(x77364,a894)),x77362),f318(f318(f300(x77364),x77363),f179(f905(x77364,a894)))),f179(f905(x77364,a894)))+~P1(f318(f318(f320(x77364),x77363),x77362))
% 182.43/182.08 [8618]~P75(x86181)+~P120(x86181)+~P1(f318(f28(x86182),x86185))+P1(f318(f318(f278(x86181),f318(f318(f9(x86182,x86181),x86183),x86184)),f318(f318(f9(x86182,x86181),x86183),x86185)))+~P1(f318(f318(f226(f905(x86182,a894)),x86184),x86185))
% 182.43/182.08 [8667]E(x86671,x86672)+~P8(x86673,x86674,x86675)+E(f318(f318(f92(f905(x86673,a894)),x86671),x86672),f179(f905(x86673,a894)))+~P1(f318(f318(f320(f905(x86673,a894)),x86672),f318(f318(f55(x86673),x86674),x86675)))+~P1(f318(f318(f320(f905(x86673,a894)),x86671),f318(f318(f55(x86673),x86674),x86675)))
% 182.43/182.08 [9482]~P74(x94822)+~E(f318(x94823,f857(x94823,x94824,x94825,x94821,x94822)),f2(x94822))+E(f318(f318(f6(x94821,x94822),x94823),x94824),f318(f318(f6(x94821,x94822),x94823),x94825))+~P1(f318(f28(x94821),x94825))+~P1(f318(f318(f226(f905(x94821,a894)),x94824),x94825))
% 182.43/182.08 [9483]~P74(x94832)+~E(f318(x94833,f862(x94833,x94834,x94835,x94831,x94832)),f2(x94832))+E(f318(f318(f6(x94831,x94832),x94833),x94834),f318(f318(f6(x94831,x94832),x94833),x94835))+~P1(f318(f28(x94831),x94835))+~P1(f318(f318(f226(f905(x94831,a894)),x94834),x94835))
% 182.43/182.08 [9484]~P75(x94842)+~E(f318(x94843,f374(x94843,x94844,x94845,x94841,x94842)),f73(x94842))+E(f318(f318(f9(x94841,x94842),x94843),x94844),f318(f318(f9(x94841,x94842),x94843),x94845))+~P1(f318(f28(x94841),x94845))+~P1(f318(f318(f226(f905(x94841,a894)),x94844),x94845))
% 182.43/182.08 [9485]~P75(x94852)+~E(f318(x94853,f375(x94853,x94854,x94855,x94851,x94852)),f73(x94852))+E(f318(f318(f9(x94851,x94852),x94853),x94854),f318(f318(f9(x94851,x94852),x94853),x94855))+~P1(f318(f28(x94851),x94855))+~P1(f318(f318(f226(f905(x94851,a894)),x94854),x94855))
% 182.43/182.08 [9966]~P90(x99661)+~P1(f318(f28(x99662),x99665))+~P1(f318(f318(f226(x99661),f2(x99661)),f318(x99663,f853(x99663,x99664,x99665,x99662,x99661))))+P1(f318(f318(f226(x99661),f318(f318(f6(x99662,x99661),x99663),x99664)),f318(f318(f6(x99662,x99661),x99663),x99665)))+~P1(f318(f318(f226(f905(x99662,a894)),x99664),x99665))
% 182.43/182.08 [7596]E(x75961,f2(a898))+P1(f318(x75962,x75963))+~E(x75964,f318(f318(f75(a898),f318(f318(f76(a898),x75961),x75963)),x75965))+~P1(f318(f318(f227(a898),x75965),x75961))+~P1(f318(x75962,f318(f318(f30(a898),x75964),x75961)))
% 182.43/182.08 [7674]E(x76741,f2(a898))+P1(f318(x76742,x76743))+~P1(f318(x76742,f40(a898,x76744,x76741)))+~E(x76744,f318(f318(f75(a898),f318(f318(f76(a898),x76741),x76745)),x76743))+~P1(f318(f318(f227(a898),x76743),x76741))
% 182.43/182.08 [7968]~P61(x79683)+E(f318(x79681,x79682),f2(x79683))+~P1(f318(f28(x79684),x79685))+E(f318(f318(f9(x79684,x79683),x79681),f318(f318(f23(f905(x79684,a894)),x79685),f318(f318(f300(x79684),x79682),f179(f905(x79684,a894))))),f318(f318(f9(x79684,x79683),x79681),x79685))+P1(f318(f318(f320(x79684),x79682),x79685))
% 182.43/182.08 [8365]~P74(x83651)+~P1(f318(f28(x83652),x83655))+~P1(f318(f28(x83652),x83654))+~E(f318(f318(f92(f905(x83652,a894)),x83654),x83655),f179(f905(x83652,a894)))+E(f318(f318(f75(x83651),f318(f318(f6(x83652,x83651),x83653),x83654)),f318(f318(f6(x83652,x83651),x83653),x83655)),f318(f318(f6(x83652,x83651),x83653),f318(f318(f101(f905(x83652,a894)),x83654),x83655)))
% 182.43/182.08 [8367]~P75(x83671)+~P1(f318(f28(x83672),x83675))+~P1(f318(f28(x83672),x83674))+~E(f318(f318(f92(f905(x83672,a894)),x83674),x83675),f179(f905(x83672,a894)))+E(f318(f318(f76(x83671),f318(f318(f9(x83672,x83671),x83673),x83674)),f318(f318(f9(x83672,x83671),x83673),x83675)),f318(f318(f9(x83672,x83671),x83673),f318(f318(f101(f905(x83672,a894)),x83674),x83675)))
% 182.43/182.08 [8467]~P61(x84673)+E(f318(x84671,x84672),f2(x84673))+~P1(f318(f28(x84674),x84675))+E(f318(f318(f9(x84674,x84673),x84671),f318(f318(f23(f905(x84674,a894)),x84675),f318(f318(f300(x84674),x84672),f179(f905(x84674,a894))))),f318(f318(f282(x84673),f318(f318(f9(x84674,x84673),x84671),x84675)),f318(x84671,x84672)))+~P1(f318(f318(f320(x84674),x84672),x84675))
% 182.43/182.08 [9190]~P8(x91901,x91905,x91904)+~E(f318(f318(f55(x91901),f318(f318(f300(x91901),x91902),f179(f905(x91901,a894)))),x91904),f318(f318(f55(x91901),f318(f318(f300(x91901),x91903),f179(f905(x91901,a894)))),x91904))+~P1(f318(f318(f320(x91901),x91903),x91905))+~P1(f318(f318(f320(x91901),x91902),x91905))+P1(f318(f318(f320(f904(x91901,x91901)),f318(f318(f243(x91901,x91901),x91902),x91903)),x91904))
% 182.43/182.08 [9212]~P8(x92121,x92125,x92123)+E(f318(f318(f55(x92121),f318(f318(f300(x92121),x92122),f179(f905(x92121,a894)))),x92123),f318(f318(f55(x92121),f318(f318(f300(x92121),x92124),f179(f905(x92121,a894)))),x92123))+~P1(f318(f318(f320(x92121),x92124),x92125))+~P1(f318(f318(f320(x92121),x92122),x92125))+~P1(f318(f318(f320(f904(x92121,x92121)),f318(f318(f243(x92121,x92121),x92122),x92124)),x92123))
% 182.43/182.08 [9511]~P75(x95111)+~P1(f318(f28(x95112),x95115))+~P1(f318(f28(x95112),x95114))+~E(f318(f318(f92(f905(x95112,a894)),x95114),x95115),f179(f905(x95112,a894)))+E(f318(f318(f76(x95111),f318(f318(f318(f59(x95111,x95112,f76(x95111)),x95113),f73(x95111)),x95114)),f318(f318(f318(f59(x95111,x95112,f76(x95111)),x95113),f73(x95111)),x95115)),f318(f318(f318(f59(x95111,x95112,f76(x95111)),x95113),f73(x95111)),f318(f318(f101(f905(x95112,a894)),x95114),x95115)))
% 182.43/182.08 [9522]~P74(x95221)+~E(f318(x95223,f851(x95223,x95225,x95224,x95222,x95221)),f2(x95221))+~P1(f318(f28(x95222),x95224))+~P1(f318(f28(x95222),x95225))+E(f318(f318(f75(x95221),f318(f318(f6(x95222,x95221),x95223),x95224)),f318(f318(f6(x95222,x95221),x95223),x95225)),f318(f318(f6(x95222,x95221),x95223),f318(f318(f101(f905(x95222,a894)),x95224),x95225)))
% 182.43/182.08 [9523]~P74(x95231)+~E(f318(x95233,f858(x95233,x95235,x95234,x95232,x95231)),f2(x95231))+~P1(f318(f28(x95232),x95234))+~P1(f318(f28(x95232),x95235))+E(f318(f318(f75(x95231),f318(f318(f6(x95232,x95231),x95233),x95234)),f318(f318(f6(x95232,x95231),x95233),x95235)),f318(f318(f6(x95232,x95231),x95233),f318(f318(f101(f905(x95232,a894)),x95234),x95235)))
% 182.43/182.08 [9524]~P75(x95241)+~E(f318(x95243,f871(x95243,x95245,x95244,x95242,x95241)),f73(x95241))+~P1(f318(f28(x95242),x95244))+~P1(f318(f28(x95242),x95245))+E(f318(f318(f76(x95241),f318(f318(f9(x95242,x95241),x95243),x95244)),f318(f318(f9(x95242,x95241),x95243),x95245)),f318(f318(f9(x95242,x95241),x95243),f318(f318(f101(f905(x95242,a894)),x95244),x95245)))
% 182.43/182.08 [9525]~P75(x95251)+~E(f318(x95253,f875(x95253,x95255,x95254,x95252,x95251)),f73(x95251))+~P1(f318(f28(x95252),x95254))+~P1(f318(f28(x95252),x95255))+E(f318(f318(f76(x95251),f318(f318(f9(x95252,x95251),x95253),x95254)),f318(f318(f9(x95252,x95251),x95253),x95255)),f318(f318(f9(x95252,x95251),x95253),f318(f318(f101(f905(x95252,a894)),x95254),x95255)))
% 182.43/182.08 [9744]~P75(x97441)+~E(f318(x97443,f852(x97443,x97445,x97444,x97442,x97441)),f73(x97441))+~P1(f318(f28(x97442),x97444))+~P1(f318(f28(x97442),x97445))+E(f318(f318(f76(x97441),f318(f318(f318(f59(x97441,x97442,f76(x97441)),x97443),f73(x97441)),x97444)),f318(f318(f318(f59(x97441,x97442,f76(x97441)),x97443),f73(x97441)),x97445)),f318(f318(f318(f59(x97441,x97442,f76(x97441)),x97443),f73(x97441)),f318(f318(f101(f905(x97442,a894)),x97444),x97445)))
% 182.43/182.08 [9854]~P74(x98542)+E(f318(f318(f6(x98541,x98542),x98543),x98544),f318(f318(f6(x98541,x98542),x98543),x98545))+~P1(f318(f28(x98541),x98545))+~P1(f318(f318(f226(f905(x98541,a894)),x98544),x98545))+P1(f318(f318(f320(x98541),f857(x98543,x98544,x98545,x98541,x98542)),f318(f318(f23(f905(x98541,a894)),x98545),x98544)))
% 182.43/182.08 [9855]~P74(x98552)+E(f318(f318(f6(x98551,x98552),x98553),x98554),f318(f318(f6(x98551,x98552),x98553),x98555))+~P1(f318(f28(x98551),x98555))+~P1(f318(f318(f226(f905(x98551,a894)),x98554),x98555))+P1(f318(f318(f320(x98551),f862(x98553,x98554,x98555,x98551,x98552)),f318(f318(f23(f905(x98551,a894)),x98555),x98554)))
% 182.43/182.08 [9856]~P75(x98562)+E(f318(f318(f9(x98561,x98562),x98563),x98564),f318(f318(f9(x98561,x98562),x98563),x98565))+~P1(f318(f28(x98561),x98565))+~P1(f318(f318(f226(f905(x98561,a894)),x98564),x98565))+P1(f318(f318(f320(x98561),f374(x98563,x98564,x98565,x98561,x98562)),f318(f318(f23(f905(x98561,a894)),x98565),x98564)))
% 182.43/182.08 [9857]~P75(x98572)+E(f318(f318(f9(x98571,x98572),x98573),x98574),f318(f318(f9(x98571,x98572),x98573),x98575))+~P1(f318(f28(x98571),x98575))+~P1(f318(f318(f226(f905(x98571,a894)),x98574),x98575))+P1(f318(f318(f320(x98571),f375(x98573,x98574,x98575,x98571,x98572)),f318(f318(f23(f905(x98571,a894)),x98575),x98574)))
% 182.43/182.08 [9875]~P74(x98751)+~P1(f318(f28(x98752),x98754))+~P1(f318(f28(x98752),x98755))+E(f318(f318(f75(x98751),f318(f318(f6(x98752,x98751),x98753),x98754)),f318(f318(f6(x98752,x98751),x98753),x98755)),f318(f318(f6(x98752,x98751),x98753),f318(f318(f101(f905(x98752,a894)),x98754),x98755)))+P1(f318(f318(f320(x98752),f851(x98753,x98755,x98754,x98752,x98751)),f318(f318(f92(f905(x98752,a894)),x98754),x98755)))
% 182.43/182.08 [9876]~P74(x98761)+~P1(f318(f28(x98762),x98764))+~P1(f318(f28(x98762),x98765))+E(f318(f318(f75(x98761),f318(f318(f6(x98762,x98761),x98763),x98764)),f318(f318(f6(x98762,x98761),x98763),x98765)),f318(f318(f6(x98762,x98761),x98763),f318(f318(f101(f905(x98762,a894)),x98764),x98765)))+P1(f318(f318(f320(x98762),f858(x98763,x98765,x98764,x98762,x98761)),f318(f318(f92(f905(x98762,a894)),x98764),x98765)))
% 182.43/182.08 [9877]~P75(x98771)+~P1(f318(f28(x98772),x98774))+~P1(f318(f28(x98772),x98775))+E(f318(f318(f76(x98771),f318(f318(f9(x98772,x98771),x98773),x98774)),f318(f318(f9(x98772,x98771),x98773),x98775)),f318(f318(f9(x98772,x98771),x98773),f318(f318(f101(f905(x98772,a894)),x98774),x98775)))+P1(f318(f318(f320(x98772),f871(x98773,x98775,x98774,x98772,x98771)),f318(f318(f92(f905(x98772,a894)),x98774),x98775)))
% 182.43/182.08 [9878]~P75(x98781)+~P1(f318(f28(x98782),x98784))+~P1(f318(f28(x98782),x98785))+E(f318(f318(f76(x98781),f318(f318(f9(x98782,x98781),x98783),x98784)),f318(f318(f9(x98782,x98781),x98783),x98785)),f318(f318(f9(x98782,x98781),x98783),f318(f318(f101(f905(x98782,a894)),x98784),x98785)))+P1(f318(f318(f320(x98782),f875(x98783,x98785,x98784,x98782,x98781)),f318(f318(f92(f905(x98782,a894)),x98784),x98785)))
% 182.43/182.08 [9884]~P90(x98845)+~P1(f318(f28(x98841),x98844))+P1(f318(f318(f226(x98845),f318(f318(f6(x98841,x98845),x98842),x98843)),f318(f318(f6(x98841,x98845),x98842),x98844)))+~P1(f318(f318(f226(f905(x98841,a894)),x98843),x98844))+P1(f318(f318(f320(x98841),f853(x98842,x98843,x98844,x98841,x98845)),f318(f318(f23(f905(x98841,a894)),x98844),x98843)))
% 182.43/182.08 [9928]~P75(x99281)+~P1(f318(f28(x99282),x99284))+~P1(f318(f28(x99282),x99285))+E(f318(f318(f76(x99281),f318(f318(f318(f59(x99281,x99282,f76(x99281)),x99283),f73(x99281)),x99284)),f318(f318(f318(f59(x99281,x99282,f76(x99281)),x99283),f73(x99281)),x99285)),f318(f318(f318(f59(x99281,x99282,f76(x99281)),x99283),f73(x99281)),f318(f318(f101(f905(x99282,a894)),x99284),x99285)))+P1(f318(f318(f320(x99282),f852(x99283,x99285,x99284,x99282,x99281)),f318(f318(f92(f905(x99282,a894)),x99284),x99285)))
% 182.43/182.08 [8876]~P18(x88761,x88764,x88765)+~P1(f318(f28(x88761),x88762))+E(f318(f318(f23(f905(x88761,a894)),x88762),f318(f318(f300(x88761),x88763),f179(f905(x88761,a894)))),f179(f905(x88761,a894)))+~P1(f318(f318(f320(x88761),x88763),x88762))+E(f318(f318(x88764,x88763),f318(x88765,f318(f318(f23(f905(x88761,a894)),x88762),f318(f318(f300(x88761),x88763),f179(f905(x88761,a894)))))),f318(x88765,x88762))
% 182.43/182.08 [8954]~P18(x89541,x89544,x89545)+~P1(f318(f28(x89541),x89543))+~P1(f318(f28(x89541),x89542))+E(f318(f318(f92(f905(x89541,a894)),x89542),x89543),f179(f905(x89541,a894)))+E(f318(f318(x89544,f318(x89545,f318(f318(f101(f905(x89541,a894)),x89542),x89543))),f318(x89545,f318(f318(f92(f905(x89541,a894)),x89542),x89543))),f318(f318(x89544,f318(x89545,x89542)),f318(x89545,x89543)))
% 182.43/182.08 [9527]~P1(f318(f318(f226(a1),x95274),f2(a1)))+~P1(f318(f318(f227(a1),x95273),x95275))+P1(f318(f318(f226(a1),x95271),x95272))+~P1(f318(f318(f227(a1),x95273),x95274))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),f318(f318(f76(a1),x95273),x95272)),x95275)),f318(f318(f75(a1),f318(f318(f76(a1),x95273),x95271)),x95274)))
% 182.43/182.08 [9529]~P1(f318(f318(f226(a1),f2(a1)),x95295))+P1(f318(f318(f226(a1),x95291),x95292))+~P1(f318(f318(f227(a1),x95293),x95294))+~P1(f318(f318(f227(a1),x95295),x95294))+~P1(f318(f318(f226(a1),f318(f318(f75(a1),f318(f318(f76(a1),x95294),x95291)),x95295)),f318(f318(f75(a1),f318(f318(f76(a1),x95294),x95292)),x95293)))
% 182.43/182.08 [9653]~P61(x96535)+E(f318(x96531,f348(x96531,x96532,x96533,x96534,x96535)),f2(x96535))+~P1(f318(f28(x96534),x96533))+~P1(f318(f28(x96534),x96532))+E(f318(f318(f282(x96535),f318(f318(f76(x96535),f318(f318(f9(x96534,x96535),x96531),x96533)),f318(f318(f9(x96534,x96535),x96531),x96532))),f318(f318(f9(x96534,x96535),x96531),f318(f318(f92(f905(x96534,a894)),x96533),x96532))),f318(f318(f9(x96534,x96535),x96531),f318(f318(f101(f905(x96534,a894)),x96533),x96532)))
% 182.43/182.08 [9920]~P61(x99201)+~P1(f318(f28(x99202),x99204))+~P1(f318(f28(x99202),x99205))+E(f318(f318(f282(x99201),f318(f318(f76(x99201),f318(f318(f9(x99202,x99201),x99203),x99204)),f318(f318(f9(x99202,x99201),x99203),x99205))),f318(f318(f9(x99202,x99201),x99203),f318(f318(f92(f905(x99202,a894)),x99204),x99205))),f318(f318(f9(x99202,x99201),x99203),f318(f318(f101(f905(x99202,a894)),x99204),x99205)))+P1(f318(f318(f320(x99202),f348(x99203,x99205,x99204,x99202,x99201)),f318(f318(f92(f905(x99202,a894)),x99204),x99205)))
% 182.43/182.08 [9232]E(f318(f318(f125(x92321),x92322),x92323),f318(f318(f125(x92321),x92324),x92325))+~E(f318(f318(f166(x92321),f318(f180(f899(x92321)),x92324)),x92322),x92324)+~E(f318(f318(f166(x92321),f318(f180(f899(x92321)),x92322)),x92324),x92322)+~E(x92325,f318(f318(f125(x92321),f318(f318(f129(x92321),f318(f180(f899(x92321)),x92324)),x92322)),x92323))+~E(f318(f318(f125(x92321),f318(f318(f129(x92321),f318(f180(f899(x92321)),x92322)),x92324)),x92325),x92323)
% 182.43/182.08 [9651]~P82(x96512)+E(f318(f318(f139(x96511,x96512,x96513),x96514),f161(x96511,x96514,x96515)),x96515)+~P13(x96512,f318(f318(f145(x96511,x96512),x96513),x96515))+~P1(f318(f318(f320(x96511),x96514),f318(f163(x96511),x96515)))+~E(f318(f132(x96511),f318(f127(x96511,f318(f318(f8(x96512,a894,x96511),f318(a315,f318(x96513,x96514))),x96513)),x96515)),x96514)
% 182.43/182.08 [9984]~P71(x99841)+~P1(f318(f60(x99841,x99841,f76(x99841),x99842,x99843),x99845))+~P1(f318(f318(f320(x99841),x99844),x99843))+P1(f318(f318(f320(x99841),x99842),x99843))+P1(f318(f60(x99841,x99841,f76(x99841),x99844,f318(f318(f300(x99841),x99842),f318(f318(f23(f905(x99841,a894)),x99843),f318(f318(f300(x99841),x99844),f179(f905(x99841,a894)))))),x99845))
% 182.43/182.08 [7368]E(x73681,x73682)+~P24(x73684,x73685,x73683,x73686)+~E(f318(x73683,x73681),f318(x73683,x73682))+~P1(f318(f318(f320(x73684),x73682),x73686))+~P1(f318(f318(f320(x73684),x73681),x73686))
% 182.43/182.08 [6612]~P145(x66124)+E(x66121,x66122)+~E(x66125,x66126)+E(x66123,f2(x66124))+~E(f318(f318(f75(x66124),x66125),f318(f318(f76(x66124),x66123),x66121)),f318(f318(f75(x66124),x66126),f318(f318(f76(x66124),x66123),x66122)))
% 182.43/182.08 [7654]~P82(x76541)+~P5(x76541)+~P1(f318(f318(f227(x76541),x76542),f318(x76545,x76546)))+~P1(f318(f318(f320(x76543),x76546),x76544))+P1(f318(f318(f227(x76541),x76542),f318(f318(f34(x76543,x76541),x76544),x76545)))
% 182.43/182.08 [9980]~P24(x99802,x99801,x99803,x99804)+~P24(x99801,x99802,x99806,x99805)+P25(x99801,x99802,f809(x99803,x99804,x99805,x99806,x99802,x99801),x99805,x99804)+~P1(f318(f318(f226(f905(x99802,a894)),f318(f301(x99801,x99802,x99806),x99805)),x99804))+~P1(f318(f318(f226(f905(x99801,a894)),f318(f301(x99802,x99801,x99803),x99804)),x99805))
% 182.43/182.08 [8335]~P82(x83351)+~P5(x83351)+~P1(f318(f318(f227(x83351),f318(x83354,x83356)),x83355))+~P1(f318(f318(f320(x83352),x83356),x83353))+P1(f318(f318(f227(x83351),f318(f318(f35(x83352,x83351),x83353),x83354)),x83355))
% 182.43/182.08 [8590]~P19(x85902,x85905,x85906,x85901)+~P1(f318(f28(x85902),x85904))+~P1(f318(f28(x85902),x85903))+~E(f318(f318(f92(f905(x85902,a894)),x85903),x85904),f179(f905(x85902,a894)))+E(f318(x85901,f318(f318(f101(f905(x85902,a894)),x85903),x85904)),f318(f67(x85905,x85905,x85905,f318(x85901,x85903)),f318(x85901,x85904)))
% 182.43/182.08 [10190]~P75(x101901)+~E(f795(x101904,x101905,x101903,x101906,x101902,x101901),f796(x101904,x101905,x101903,x101906,x101902,x101901))+~P1(f318(f28(x101902),x101906))+E(f318(f318(f318(f59(x101901,x101902,f76(x101901)),f318(f318(f8(f905(x101903,a894),x101901,x101902),f318(f318(f59(x101901,x101903,f76(x101901)),x101904),f73(x101901))),x101905)),f73(x101901)),x101906),f318(f318(f318(f59(x101901,x101903,f76(x101901)),x101904),f73(x101901)),f318(f318(f34(x101902,f905(x101903,a894)),x101906),x101905)))+P1(f318(f318(f320(x101902),f794(x101904,x101905,x101903,x101906,x101902,x101901)),x101906))
% 182.43/182.08 [10220]~P75(x102201)+~E(f795(x102204,x102205,x102203,x102206,x102202,x102201),f796(x102204,x102205,x102203,x102206,x102202,x102201))+~P1(f318(f28(x102202),x102206))+E(f318(f318(f318(f59(x102201,x102202,f76(x102201)),f318(f318(f8(f905(x102203,a894),x102201,x102202),f318(f318(f59(x102201,x102203,f76(x102201)),x102204),f73(x102201))),x102205)),f73(x102201)),x102206),f318(f318(f318(f59(x102201,x102203,f76(x102201)),x102204),f73(x102201)),f318(f318(f34(x102202,f905(x102203,a894)),x102206),x102205)))+~P1(f318(f28(x102203),f318(x102205,f794(x102204,x102205,x102203,x102206,x102202,x102201))))
% 182.43/182.08 [10223]~P75(x102231)+~P1(f318(f28(x102232),x102236))+E(f318(f318(f318(f59(x102231,x102232,f76(x102231)),f318(f318(f8(f905(x102233,a894),x102231,x102232),f318(f318(f59(x102231,x102233,f76(x102231)),x102234),f73(x102231))),x102235)),f73(x102231)),x102236),f318(f318(f318(f59(x102231,x102233,f76(x102231)),x102234),f73(x102231)),f318(f318(f34(x102232,f905(x102233,a894)),x102236),x102235)))+P1(f318(f318(f320(x102232),f794(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))+P1(f318(f318(f320(x102232),f796(x102234,x102235,x102233,x102236,x102232,x102231)),x102236))
% 182.43/182.08 [10224]~P75(x102241)+~P1(f318(f28(x102242),x102246))+E(f318(f318(f318(f59(x102241,x102242,f76(x102241)),f318(f318(f8(f905(x102243,a894),x102241,x102242),f318(f318(f59(x102241,x102243,f76(x102241)),x102244),f73(x102241))),x102245)),f73(x102241)),x102246),f318(f318(f318(f59(x102241,x102243,f76(x102241)),x102244),f73(x102241)),f318(f318(f34(x102242,f905(x102243,a894)),x102246),x102245)))+P1(f318(f318(f320(x102242),f794(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))+P1(f318(f318(f320(x102242),f795(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))
% 182.43/182.08 [10243]~P75(x102431)+~P1(f318(f28(x102432),x102436))+E(f318(f318(f318(f59(x102431,x102432,f76(x102431)),f318(f318(f8(f905(x102433,a894),x102431,x102432),f318(f318(f59(x102431,x102433,f76(x102431)),x102434),f73(x102431))),x102435)),f73(x102431)),x102436),f318(f318(f318(f59(x102431,x102433,f76(x102431)),x102434),f73(x102431)),f318(f318(f34(x102432,f905(x102433,a894)),x102436),x102435)))+P1(f318(f318(f320(x102432),f796(x102434,x102435,x102433,x102436,x102432,x102431)),x102436))+~P1(f318(f28(x102433),f318(x102435,f794(x102434,x102435,x102433,x102436,x102432,x102431))))
% 182.43/182.08 [10244]~P75(x102441)+~P1(f318(f28(x102442),x102446))+E(f318(f318(f318(f59(x102441,x102442,f76(x102441)),f318(f318(f8(f905(x102443,a894),x102441,x102442),f318(f318(f59(x102441,x102443,f76(x102441)),x102444),f73(x102441))),x102445)),f73(x102441)),x102446),f318(f318(f318(f59(x102441,x102443,f76(x102441)),x102444),f73(x102441)),f318(f318(f34(x102442,f905(x102443,a894)),x102446),x102445)))+P1(f318(f318(f320(x102442),f795(x102444,x102445,x102443,x102446,x102442,x102441)),x102446))+~P1(f318(f28(x102443),f318(x102445,f794(x102444,x102445,x102443,x102446,x102442,x102441))))
% 182.43/182.08 [10255]~P75(x102551)+~E(f318(f318(f92(f905(x102553,a894)),f318(x102555,f796(x102554,x102555,x102553,x102556,x102552,x102551))),f318(x102555,f795(x102554,x102555,x102553,x102556,x102552,x102551))),f179(f905(x102553,a894)))+~P1(f318(f28(x102552),x102556))+E(f318(f318(f318(f59(x102551,x102552,f76(x102551)),f318(f318(f8(f905(x102553,a894),x102551,x102552),f318(f318(f59(x102551,x102553,f76(x102551)),x102554),f73(x102551))),x102555)),f73(x102551)),x102556),f318(f318(f318(f59(x102551,x102553,f76(x102551)),x102554),f73(x102551)),f318(f318(f34(x102552,f905(x102553,a894)),x102556),x102555)))+P1(f318(f318(f320(x102552),f794(x102554,x102555,x102553,x102556,x102552,x102551)),x102556))
% 182.43/182.08 [10266]~P75(x102661)+~E(f318(f318(f92(f905(x102663,a894)),f318(x102665,f796(x102664,x102665,x102663,x102666,x102662,x102661))),f318(x102665,f795(x102664,x102665,x102663,x102666,x102662,x102661))),f179(f905(x102663,a894)))+~P1(f318(f28(x102662),x102666))+E(f318(f318(f318(f59(x102661,x102662,f76(x102661)),f318(f318(f8(f905(x102663,a894),x102661,x102662),f318(f318(f59(x102661,x102663,f76(x102661)),x102664),f73(x102661))),x102665)),f73(x102661)),x102666),f318(f318(f318(f59(x102661,x102663,f76(x102661)),x102664),f73(x102661)),f318(f318(f34(x102662,f905(x102663,a894)),x102666),x102665)))+~P1(f318(f28(x102663),f318(x102665,f794(x102664,x102665,x102663,x102666,x102662,x102661))))
% 182.43/182.08 [9322]~P120(x93221)+~P117(x93221)+~P1(f318(f318(f278(x93221),x93222),x93225))+~P1(f318(f318(f278(x93221),x93222),f318(f318(f75(x93221),x93223),x93226)))+P1(f318(f318(f278(x93221),x93222),f318(f318(f75(x93221),f318(f318(f23(x93221),x93223),f318(f318(f76(x93221),x93224),x93225))),x93226)))
% 182.43/182.08 [9516]~P120(x95161)+~P117(x95161)+~P1(f318(f318(f278(x95161),x95162),x95165))+P1(f318(f318(f278(x95161),x95162),f318(f318(f75(x95161),x95163),x95164)))+~P1(f318(f318(f278(x95161),x95162),f318(f318(f75(x95161),f318(f318(f23(x95161),x95163),f318(f318(f76(x95161),x95166),x95165))),x95164)))
% 182.43/182.08 [8924]E(x89241,x89242)+~P55(x89244,x89245,x89246,x89243,x89247)+~E(f318(x89243,x89241),f318(x89243,x89242))+~P1(f318(f318(f320(x89245),x89242),x89247))+~P1(f318(f318(f320(x89245),x89241),x89247))
% 182.43/182.08 [10231]~P1(f318(x102312,x102314))+~E(x102315,f318(f127(x102311,x102312),x102317))+E(f318(f127(x102311,x102312),x102313),f318(f318(f142(x102311),x102314),x102315))+~E(x102313,f318(f318(f125(x102311),x102316),f318(f318(f142(x102311),x102314),x102317)))+P1(f318(x102312,f726(x102315,x102314,x102313,x102312,x102311,x102316,x102317)))
% 182.43/182.08 [10232]~P1(f318(x102324,x102322))+~E(x102323,f318(f127(x102321,x102324),x102327))+E(f318(f318(f142(x102321),x102322),x102323),f318(f127(x102321,x102324),x102325))+~E(x102325,f318(f318(f125(x102321),x102326),f318(f318(f142(x102321),x102322),x102327)))+P1(f318(x102324,f728(x102325,x102324,x102323,x102322,x102321,x102326,x102327)))
% 182.43/182.08 [10282]~P1(f318(x102822,x102824))+~E(x102825,f318(f127(x102821,x102822),x102827))+E(f318(f127(x102821,x102822),x102823),f318(f318(f142(x102821),x102824),x102825))+~E(x102823,f318(f318(f125(x102821),x102826),f318(f318(f142(x102821),x102824),x102827)))+P1(f318(f318(f320(x102821),f726(x102825,x102824,x102823,x102822,x102821,x102826,x102827)),f318(f163(x102821),x102826)))
% 182.43/182.08 [10283]~P1(f318(x102834,x102832))+~E(x102833,f318(f127(x102831,x102834),x102837))+E(f318(f318(f142(x102831),x102832),x102833),f318(f127(x102831,x102834),x102835))+~E(x102835,f318(f318(f125(x102831),x102836),f318(f318(f142(x102831),x102832),x102837)))+P1(f318(f318(f320(x102831),f728(x102835,x102834,x102833,x102832,x102831,x102836,x102837)),f318(f163(x102831),x102836)))
% 182.43/182.08 [10287]~P8(x102871,x102877,x102876)+~P11(x102871,f905(x102875,a894),x102876,x102874)+P1(f318(f318(f320(x102871),f476(x102872,x102873,x102874,x102875,x102876,x102877,x102871)),x102877))+~P1(f318(f318(f320(f905(x102871,a894)),x102873),f318(f318(f55(x102871),x102877),x102876)))+P1(f318(f318(f320(f905(x102875,a894)),f318(f318(f34(x102871,f905(x102875,a894)),x102873),x102874)),x102872))
% 182.43/182.08 [10342]~P8(x103422,x103426,x103427)+~P11(x103422,f905(x103421,a894),x103427,x103424)+~P1(f318(f318(f320(f905(x103422,a894)),x103423),f318(f318(f55(x103422),x103426),x103427)))+~P1(f318(f318(f320(f905(x103421,a894)),f318(x103424,f476(x103425,x103423,x103424,x103421,x103427,x103426,x103422))),x103425))+P1(f318(f318(f320(f905(x103421,a894)),f318(f318(f34(x103422,f905(x103421,a894)),x103423),x103424)),x103425))
% 182.43/182.08 [8509]~P75(x85092)+~P24(x85091,x85095,x85098,x85094)+~E(x85093,f318(f67(x85095,x85092,x85091,x85096),x85098))+~E(x85097,f318(f301(x85091,x85095,x85098),x85094))+E(f318(f318(f9(x85091,x85092),x85093),x85094),f318(f318(f9(x85095,x85092),x85096),x85097))
% 182.43/182.08 [10346]~P75(x103462)+~P24(x103465,x103461,x103468,x103467)+~E(f318(x103466,f539(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)),f318(f318(f67(x103461,x103462,x103465,x103463),x103468),f539(x103463,x103466,x103464,x103467,x103468,x103461,x103465,x103462)))+~E(x103464,f318(f301(x103465,x103461,x103468),x103467))+E(f318(f318(f9(x103461,x103462),x103463),x103464),f318(f318(f9(x103465,x103462),x103466),x103467))
% 182.43/182.08 [10349]~P74(x103492)+~P24(x103491,x103495,x103498,x103494)+~E(x103497,f318(f301(x103491,x103495,x103498),x103494))+E(f318(f318(f6(x103491,x103492),x103493),x103494),f318(f318(f6(x103495,x103492),x103496),x103497))+P1(f318(f318(f320(x103491),f554(x103496,x103493,x103497,x103494,x103498,x103495,x103491,x103492)),x103494))
% 182.43/182.08 [10350]~P75(x103502)+~P24(x103501,x103505,x103508,x103504)+~E(x103507,f318(f301(x103501,x103505,x103508),x103504))+E(f318(f318(f9(x103501,x103502),x103503),x103504),f318(f318(f9(x103505,x103502),x103506),x103507))+P1(f318(f318(f320(x103501),f539(x103506,x103503,x103507,x103504,x103508,x103505,x103501,x103502)),x103504))
% 182.43/182.08 [10355]~P74(x103552)+~P24(x103555,x103551,x103558,x103557)+~E(x103554,f318(f301(x103555,x103551,x103558),x103557))+~E(f318(x103556,f554(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552)),f318(x103553,f318(x103558,f554(x103553,x103556,x103554,x103557,x103558,x103551,x103555,x103552))))+E(f318(f318(f6(x103551,x103552),x103553),x103554),f318(f318(f6(x103555,x103552),x103556),x103557))
% 182.43/182.08 [9817]~P23(x98176,x98172,x98175,x98177,x98178,x98171)+~P1(f318(f28(x98172),x98174))+~P1(f318(f28(x98172),x98173))+~E(f318(f318(f92(f905(x98172,a894)),x98173),x98174),f179(f905(x98172,a894)))+E(f318(x98171,f318(f318(f101(f905(x98172,a894)),x98173),x98174)),f318(f318(x98175,f318(x98171,x98173)),f318(x98171,x98174)))
% 182.43/182.08 [10217]~P23(x102178,x102172,x102175,x102177,x102176,x102171)+~E(f318(x102176,f788(x102174,x102173,x102171,x102176,x102177,x102175,x102172)),x102177)+~P1(f318(f28(x102172),x102173))+~P1(f318(f28(x102172),x102174))+E(f318(x102171,f318(f318(f101(f905(x102172,a894)),x102173),x102174)),f318(f318(x102175,f318(x102171,x102173)),f318(x102171,x102174)))
% 182.43/182.08 [10294]~P23(x102948,x102942,x102945,x102947,x102946,x102941)+~P1(f318(f28(x102942),x102943))+~P1(f318(f28(x102942),x102944))+E(f318(x102941,f318(f318(f101(f905(x102942,a894)),x102943),x102944)),f318(f318(x102945,f318(x102941,x102943)),f318(x102941,x102944)))+P1(f318(f318(f320(x102942),f788(x102944,x102943,x102941,x102946,x102947,x102945,x102942)),f318(f318(f92(f905(x102942,a894)),x102943),x102944)))
% 182.43/182.08 [9971]~P8(x99714,x99718,x99715)+~P8(x99711,x99719,x99713)+~P12(x99711,x99714,f905(x99712,a894),x99713,x99715,x99717)+P11(x99711,f905(x99712,a894),x99713,f318(f318(f8(f905(x99714,f905(x99712,a894)),f905(x99712,a894),x99711),f318(f34(x99714,f905(x99712,a894)),f318(f276(x99714,x99714,x99715),f318(f318(f300(x99714),x99716),f179(f905(x99714,a894)))))),x99717))+~P1(f318(f318(f320(x99714),x99716),x99718))
% 182.43/182.08 [5491]~P82(x54913)+~P13(x54913,x54911)+E(x54911,f705(x54912,x54913))+~E(f318(f163(x54913),x54911),x54912)+~P1(f318(f28(x54913),x54912))+~P1(f318(f128(x54913),x54911))
% 182.43/182.08 [7359]P15(x73591,x73592)+~E(f318(x73592,f786(x73592)),f318(x73592,f787(x73592)))+~P1(f318(f318(x73592,f786(x73592)),f786(x73592)))+~P1(f318(f318(x73592,f786(x73592)),f787(x73592)))+~P1(f318(f318(x73592,f787(x73592)),f787(x73592)))+~P1(f318(f318(x73592,x73593),x73593))
% 182.43/182.08 [5117]~P126(x51172)+~P129(x51172)+~P130(x51172)+~P113(x51172)+E(x51171,f2(x51172))+~E(f318(f318(f235(x51172),x51171),x51173),f2(x51172))
% 182.43/182.08 [5118]~P126(x51182)+~P129(x51182)+~P130(x51182)+~P113(x51182)+~E(x51181,f2(a898))+~E(f318(f318(f235(x51182),x51183),x51181),f2(x51182))
% 182.43/182.08 [6594]~P90(x65941)+~E(x65943,f2(x65941))+~E(x65942,f2(x65941))+E(f318(f318(f75(x65941),x65942),x65943),f2(x65941))+~P1(f318(f318(f226(x65941),f2(x65941)),x65943))+~P1(f318(f318(f226(x65941),f2(x65941)),x65942))
% 182.43/182.08 [8992]~E(f318(f242(a898,a898),x89923),f2(a898))+~E(x89921,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x89923)),x89922)),f318(f247(a898,a898),x89923)))+P1(f318(f43(x89921,x89922),x89923))+~P1(f318(f318(f226(a898),f318(f247(a898,a898),x89923)),f2(a898)))+P1(f318(f318(f227(a898),f2(a898)),x89922))+~P1(f318(f318(f227(a898),x89922),f318(f247(a898,a898),x89923)))
% 182.43/182.08 [9000]E(x90001,f2(a898))+~E(x90002,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x90003)),x90001)),f318(f247(a898,a898),x90003)))+P1(f318(f43(x90002,x90001),x90003))+~P1(f318(f318(f227(a898),f2(a898)),x90001))+~P1(f318(f318(f226(a898),f2(a898)),f318(f247(a898,a898),x90003)))+~P1(f318(f318(f227(a898),f318(f247(a898,a898),x90003)),x90001))
% 182.43/182.08 [9018]~E(f318(f242(a898,a898),x90183),f2(a898))+~E(x90181,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x90183)),x90182)),f318(f247(a898,a898),x90183)))+P1(f318(f43(x90181,x90182),x90183))+~P1(f318(f318(f227(a898),f2(a898)),x90182))+~P1(f318(f318(f226(a898),f2(a898)),f318(f247(a898,a898),x90183)))+~P1(f318(f318(f227(a898),f318(f247(a898,a898),x90183)),x90182))
% 182.43/182.08 [6984]~P83(x69842)+E(x69841,f179(f905(x69842,a894)))+E(x69843,f179(f905(x69842,a894)))+~P1(f318(f28(x69842),x69841))+~P1(f318(f28(x69842),x69843))+E(f10(x69842,f318(f318(f101(f905(x69842,a894)),x69843),x69841)),f318(f318(f92(x69842),f10(x69842,x69843)),f10(x69842,x69841)))
% 182.43/182.08 [6985]~P83(x69852)+E(x69851,f179(f905(x69852,a894)))+E(x69853,f179(f905(x69852,a894)))+~P1(f318(f28(x69852),x69851))+~P1(f318(f28(x69852),x69853))+E(f13(x69852,f318(f318(f101(f905(x69852,a894)),x69853),x69851)),f318(f318(f101(x69852),f13(x69852,x69853)),f13(x69852,x69851)))
% 182.43/182.08 [6986]~P82(x69862)+E(x69861,f179(f905(x69862,a894)))+E(x69863,f179(f905(x69862,a894)))+~P1(f318(f28(x69862),x69861))+~P1(f318(f28(x69862),x69863))+E(f14(x69862,f318(f318(f101(f905(x69862,a894)),x69863),x69861)),f318(f318(f224(x69862),f14(x69862,x69863)),f14(x69862,x69861)))
% 182.43/182.08 [6987]~P82(x69872)+E(x69871,f179(f905(x69872,a894)))+E(x69873,f179(f905(x69872,a894)))+~P1(f318(f28(x69872),x69871))+~P1(f318(f28(x69872),x69873))+E(f15(x69872,f318(f318(f101(f905(x69872,a894)),x69873),x69871)),f318(f318(f225(x69872),f15(x69872,x69873)),f15(x69872,x69871)))
% 182.43/182.08 [7628]~P98(x76282)+E(x76281,f179(f905(x76282,a894)))+E(x76283,f179(f905(x76282,a894)))+~P1(f318(f28(x76282),x76281))+~P1(f318(f28(x76282),x76283))+E(f318(f318(f76(x76282),f318(f57(x76282,f76(x76282)),x76283)),f318(f57(x76282,f76(x76282)),x76281)),f318(f57(x76282,f76(x76282)),f318(f318(f101(f905(x76282,a894)),x76283),x76281)))
% 182.43/182.08 [7790]~P82(x77902)+E(x77901,f179(f905(x77902,a894)))+E(x77903,f179(f905(x77902,a894)))+~P1(f318(f28(x77902),x77901))+~P1(f318(f28(x77902),x77903))+E(f318(f318(f224(x77902),f11(x77902,f224(x77902),x77903)),f11(x77902,f224(x77902),x77901)),f11(x77902,f224(x77902),f318(f318(f101(f905(x77902,a894)),x77903),x77901)))
% 182.43/182.08 [7791]~P82(x77912)+E(x77911,f179(f905(x77912,a894)))+E(x77913,f179(f905(x77912,a894)))+~P1(f318(f28(x77912),x77911))+~P1(f318(f28(x77912),x77913))+E(f318(f318(f225(x77912),f12(x77912,f225(x77912),x77913)),f12(x77912,f225(x77912),x77911)),f12(x77912,f225(x77912),f318(f318(f101(f905(x77912,a894)),x77913),x77911)))
% 182.43/182.08 [8825]~P1(f318(x88251,x88253))+P1(f318(x88251,f352(x88251,x88252)))+P1(f318(x88251,f343(x88251,x88252)))+~P1(f318(f318(f227(a1),f2(a1)),x88252))+~P1(f318(f318(f320(a1),x88253),f294(a1,f73(a1),x88252)))+P1(f318(x88251,f318(f318(f23(a1),f343(x88251,x88252)),f318(f318(f76(a1),f349(x88251,x88252)),x88252))))
% 182.43/182.08 [9130]~P1(f318(x91301,x91303))+~P1(f318(x91301,f343(x91301,x91302)))+P1(f318(x91301,f352(x91301,x91302)))+~P1(f318(f318(f227(a1),f2(a1)),x91302))+~P1(f318(f318(f320(a1),x91303),f294(a1,f73(a1),x91302)))+~P1(f318(x91301,f318(f318(f23(a1),f343(x91301,x91302)),f318(f318(f76(a1),f349(x91301,x91302)),x91302))))
% 182.43/182.08 [10382]~P100(x103822)+E(x103821,f179(f905(x103822,a894)))+E(x103823,f179(f905(x103822,a894)))+~P1(f318(f28(x103822),x103821))+~P1(f318(f28(x103822),x103823))+E(f13(x103822,f318(f253(x103822),f318(f318(f8(f905(x103822,a894),a894,x103822),f82(x103822)),f318(f318(f8(f905(x103822,f905(x103822,a894)),f905(x103822,a894),x103822),f318(f8(f905(x103822,a894),a894,x103822),f82(x103822))),f318(f318(f7(x103822,f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,a894))),f318(f318(f8(f905(x103822,f905(f905(x103822,a894),f905(x103822,a894))),f905(f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,a894))),x103822),f18(x103822,f905(x103822,a894),f905(x103822,a894))),f318(f318(f8(f905(x103822,f905(x103822,f905(a894,a894))),f905(x103822,f905(f905(x103822,a894),f905(x103822,a894))),x103822),f318(f8(f905(x103822,f905(a894,a894)),f905(f905(x103822,a894),f905(x103822,a894)),x103822),f18(x103822,a894,a894))),f318(f318(f8(f905(x103822,f905(x103822,a894)),f905(x103822,f905(x103822,f905(a894,a894))),x103822),f318(f8(f905(x103822,a894),f905(x103822,f905(a894,a894)),x103822),f318(f8(a894,f905(a894,a894),x103822),a316))),f318(f318(f7(x103822,f905(x103822,f905(x103822,x103822)),f905(x103822,f905(x103822,a894))),f318(f318(f8(f905(f905(x103822,x103822),f905(x103822,a894)),f905(f905(x103822,f905(x103822,x103822)),f905(x103822,f905(x103822,a894))),x103822),f8(f905(x103822,x103822),f905(x103822,a894),x103822)),f318(f318(f8(f905(x103822,a894),f905(f905(x103822,x103822),f905(x103822,a894)),x103822),f8(x103822,a894,x103822)),a315))),f92(x103822)))))),f318(f318(f7(x103822,f905(x103822,a894),f905(x103822,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x103822,a894),f905(x103822,a894)),x103822),f8(a894,a894,x103822)),f318(f318(f8(a894,f905(a894,a894),x103822),a316),f318(f318(f7(x103822,f905(x103822,a894),a894),f320(x103822)),x103823)))),f318(f318(f7(x103822,f905(x103822,a894),a894),f320(x103822)),x103821))))))),f318(f318(f92(x103822),f13(x103822,x103823)),f13(x103822,x103821)))
% 182.43/182.08 [10383]~P100(x103832)+E(x103831,f179(f905(x103832,a894)))+E(x103833,f179(f905(x103832,a894)))+~P1(f318(f28(x103832),x103831))+~P1(f318(f28(x103832),x103833))+E(f10(x103832,f318(f253(x103832),f318(f318(f8(f905(x103832,a894),a894,x103832),f82(x103832)),f318(f318(f8(f905(x103832,f905(x103832,a894)),f905(x103832,a894),x103832),f318(f8(f905(x103832,a894),a894,x103832),f82(x103832))),f318(f318(f7(x103832,f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,a894))),f318(f318(f8(f905(x103832,f905(f905(x103832,a894),f905(x103832,a894))),f905(f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,a894))),x103832),f18(x103832,f905(x103832,a894),f905(x103832,a894))),f318(f318(f8(f905(x103832,f905(x103832,f905(a894,a894))),f905(x103832,f905(f905(x103832,a894),f905(x103832,a894))),x103832),f318(f8(f905(x103832,f905(a894,a894)),f905(f905(x103832,a894),f905(x103832,a894)),x103832),f18(x103832,a894,a894))),f318(f318(f8(f905(x103832,f905(x103832,a894)),f905(x103832,f905(x103832,f905(a894,a894))),x103832),f318(f8(f905(x103832,a894),f905(x103832,f905(a894,a894)),x103832),f318(f8(a894,f905(a894,a894),x103832),a316))),f318(f318(f7(x103832,f905(x103832,f905(x103832,x103832)),f905(x103832,f905(x103832,a894))),f318(f318(f8(f905(f905(x103832,x103832),f905(x103832,a894)),f905(f905(x103832,f905(x103832,x103832)),f905(x103832,f905(x103832,a894))),x103832),f8(f905(x103832,x103832),f905(x103832,a894),x103832)),f318(f318(f8(f905(x103832,a894),f905(f905(x103832,x103832),f905(x103832,a894)),x103832),f8(x103832,a894,x103832)),a315))),f101(x103832)))))),f318(f318(f7(x103832,f905(x103832,a894),f905(x103832,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x103832,a894),f905(x103832,a894)),x103832),f8(a894,a894,x103832)),f318(f318(f8(a894,f905(a894,a894),x103832),a316),f318(f318(f7(x103832,f905(x103832,a894),a894),f320(x103832)),x103833)))),f318(f318(f7(x103832,f905(x103832,a894),a894),f320(x103832)),x103831))))))),f318(f318(f101(x103832),f10(x103832,x103833)),f10(x103832,x103831)))
% 182.43/182.08 [10384]~P82(x103842)+E(x103841,f179(f905(x103842,a894)))+E(x103843,f179(f905(x103842,a894)))+~P1(f318(f28(x103842),x103841))+~P1(f318(f28(x103842),x103843))+E(f12(x103842,f225(x103842),f318(f253(x103842),f318(f318(f8(f905(x103842,a894),a894,x103842),f82(x103842)),f318(f318(f8(f905(x103842,f905(x103842,a894)),f905(x103842,a894),x103842),f318(f8(f905(x103842,a894),a894,x103842),f82(x103842))),f318(f318(f7(x103842,f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,a894))),f318(f318(f8(f905(x103842,f905(f905(x103842,a894),f905(x103842,a894))),f905(f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,a894))),x103842),f18(x103842,f905(x103842,a894),f905(x103842,a894))),f318(f318(f8(f905(x103842,f905(x103842,f905(a894,a894))),f905(x103842,f905(f905(x103842,a894),f905(x103842,a894))),x103842),f318(f8(f905(x103842,f905(a894,a894)),f905(f905(x103842,a894),f905(x103842,a894)),x103842),f18(x103842,a894,a894))),f318(f318(f8(f905(x103842,f905(x103842,a894)),f905(x103842,f905(x103842,f905(a894,a894))),x103842),f318(f8(f905(x103842,a894),f905(x103842,f905(a894,a894)),x103842),f318(f8(a894,f905(a894,a894),x103842),a316))),f318(f318(f7(x103842,f905(x103842,f905(x103842,x103842)),f905(x103842,f905(x103842,a894))),f318(f318(f8(f905(f905(x103842,x103842),f905(x103842,a894)),f905(f905(x103842,f905(x103842,x103842)),f905(x103842,f905(x103842,a894))),x103842),f8(f905(x103842,x103842),f905(x103842,a894),x103842)),f318(f318(f8(f905(x103842,a894),f905(f905(x103842,x103842),f905(x103842,a894)),x103842),f8(x103842,a894,x103842)),a315))),f224(x103842)))))),f318(f318(f7(x103842,f905(x103842,a894),f905(x103842,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x103842,a894),f905(x103842,a894)),x103842),f8(a894,a894,x103842)),f318(f318(f8(a894,f905(a894,a894),x103842),a316),f318(f318(f7(x103842,f905(x103842,a894),a894),f320(x103842)),x103843)))),f318(f318(f7(x103842,f905(x103842,a894),a894),f320(x103842)),x103841))))))),f318(f318(f224(x103842),f12(x103842,f225(x103842),x103843)),f12(x103842,f225(x103842),x103841)))
% 182.43/182.08 [10385]~P82(x103852)+E(x103851,f179(f905(x103852,a894)))+E(x103853,f179(f905(x103852,a894)))+~P1(f318(f28(x103852),x103851))+~P1(f318(f28(x103852),x103853))+E(f11(x103852,f224(x103852),f318(f253(x103852),f318(f318(f8(f905(x103852,a894),a894,x103852),f82(x103852)),f318(f318(f8(f905(x103852,f905(x103852,a894)),f905(x103852,a894),x103852),f318(f8(f905(x103852,a894),a894,x103852),f82(x103852))),f318(f318(f7(x103852,f905(x103852,f905(x103852,a894)),f905(x103852,f905(x103852,a894))),f318(f318(f8(f905(x103852,f905(f905(x103852,a894),f905(x103852,a894))),f905(f905(x103852,f905(x103852,a894)),f905(x103852,f905(x103852,a894))),x103852),f18(x103852,f905(x103852,a894),f905(x103852,a894))),f318(f318(f8(f905(x103852,f905(x103852,f905(a894,a894))),f905(x103852,f905(f905(x103852,a894),f905(x103852,a894))),x103852),f318(f8(f905(x103852,f905(a894,a894)),f905(f905(x103852,a894),f905(x103852,a894)),x103852),f18(x103852,a894,a894))),f318(f318(f8(f905(x103852,f905(x103852,a894)),f905(x103852,f905(x103852,f905(a894,a894))),x103852),f318(f8(f905(x103852,a894),f905(x103852,f905(a894,a894)),x103852),f318(f8(a894,f905(a894,a894),x103852),a316))),f318(f318(f7(x103852,f905(x103852,f905(x103852,x103852)),f905(x103852,f905(x103852,a894))),f318(f318(f8(f905(f905(x103852,x103852),f905(x103852,a894)),f905(f905(x103852,f905(x103852,x103852)),f905(x103852,f905(x103852,a894))),x103852),f8(f905(x103852,x103852),f905(x103852,a894),x103852)),f318(f318(f8(f905(x103852,a894),f905(f905(x103852,x103852),f905(x103852,a894)),x103852),f8(x103852,a894,x103852)),a315))),f225(x103852)))))),f318(f318(f7(x103852,f905(x103852,a894),f905(x103852,a894)),f318(f318(f8(f905(a894,a894),f905(f905(x103852,a894),f905(x103852,a894)),x103852),f8(a894,a894,x103852)),f318(f318(f8(a894,f905(a894,a894),x103852),a316),f318(f318(f7(x103852,f905(x103852,a894),a894),f320(x103852)),x103853)))),f318(f318(f7(x103852,f905(x103852,a894),a894),f320(x103852)),x103851))))))),f318(f318(f225(x103852),f11(x103852,f224(x103852),x103853)),f11(x103852,f224(x103852),x103851)))
% 182.43/182.08 [7315]~P109(x73153)+E(x73151,x73152)+~E(f318(f318(f235(x73153),x73151),x73154),f318(f318(f235(x73153),x73152),x73154))+~P1(f318(f318(f226(x73153),f2(x73153)),x73152))+~P1(f318(f318(f226(x73153),f2(x73153)),x73151))+~P1(f318(f318(f227(a898),f2(a898)),x73154))
% 182.43/182.08 [7588]~P82(x75882)+E(x75881,f179(f905(x75882,a894)))+~P1(f318(f28(x75882),x75881))+~P1(f318(f318(f320(x75882),x75884),x75881))+P1(f318(f318(f226(x75882),x75883),x75884))+~P1(f318(f318(f226(x75882),x75883),f318(f57(x75882,f224(x75882)),x75881)))
% 182.43/182.08 [7589]~P102(x75892)+E(x75891,f179(f905(x75892,a894)))+~P1(f318(f28(x75892),x75891))+~P1(f318(f318(f320(x75892),x75894),x75891))+P1(f318(f318(f226(x75892),x75893),x75894))+~P1(f318(f318(f226(x75892),x75893),f318(f57(x75892,f92(x75892)),x75891)))
% 182.43/182.08 [7590]~P82(x75902)+E(x75901,f179(f905(x75902,a894)))+~P1(f318(f28(x75902),x75901))+~P1(f318(f318(f320(x75902),x75904),x75901))+P1(f318(f318(f227(x75902),x75903),x75904))+~P1(f318(f318(f227(x75902),x75903),f318(f57(x75902,f224(x75902)),x75901)))
% 182.43/182.08 [7495]E(x74951,f2(a1))+E(f318(f318(f30(a1),x74952),x74951),x74953)+~P1(f318(f318(f226(a1),x74954),f2(a1)))+~E(x74952,f318(f318(f75(a1),f318(f318(f76(a1),x74951),x74953)),x74954))+P1(f318(f318(f227(a1),f2(a1)),x74951))+~P1(f318(f318(f227(a1),x74951),x74954))
% 182.43/182.08 [7512]E(f40(a1,x75122,x75121),x75123)+E(x75121,f2(a1))+~P1(f318(f318(f226(a1),x75123),f2(a1)))+~E(x75122,f318(f318(f75(a1),f318(f318(f76(a1),x75121),x75124)),x75123))+P1(f318(f318(f227(a1),f2(a1)),x75121))+~P1(f318(f318(f227(a1),x75121),x75123))
% 182.43/182.08 [7627]E(x76271,f2(a1))+E(f318(f318(f30(a1),x76272),x76271),x76273)+~E(x76272,f318(f318(f75(a1),f318(f318(f76(a1),x76271),x76273)),x76274))+~P1(f318(f318(f226(a1),f2(a1)),x76274))+~P1(f318(f318(f227(a1),f2(a1)),x76271))+~P1(f318(f318(f227(a1),x76274),x76271))
% 182.43/182.08 [7650]E(f40(a1,x76502,x76501),x76503)+E(x76501,f2(a1))+~E(x76502,f318(f318(f75(a1),f318(f318(f76(a1),x76501),x76504)),x76503))+~P1(f318(f318(f226(a1),f2(a1)),x76503))+~P1(f318(f318(f227(a1),f2(a1)),x76501))+~P1(f318(f318(f227(a1),x76503),x76501))
% 182.43/182.08 [7794]~P82(x77942)+E(x77941,f179(f905(x77942,a894)))+~P1(f318(f28(x77942),x77941))+~P1(f318(f318(f226(x77942),x77944),x77943))+~P1(f318(f318(f320(x77942),x77944),x77941))+P1(f318(f318(f226(x77942),f318(f57(x77942,f224(x77942)),x77941)),x77943))
% 182.43/182.08 [7795]~P82(x77952)+E(x77951,f179(f905(x77952,a894)))+~P1(f318(f28(x77952),x77951))+~P1(f318(f318(f227(x77952),x77954),x77953))+~P1(f318(f318(f320(x77952),x77954),x77951))+P1(f318(f318(f227(x77952),f318(f57(x77952,f224(x77952)),x77951)),x77953))
% 182.43/182.08 [8360]~P1(f318(f318(f226(a1),x83604),f2(a1)))+~E(x83601,f318(f318(f75(a1),f318(f318(f76(a1),x83602),x83603)),x83604))+~P1(f318(f318(f226(a1),f2(a1)),x83604))+~P1(f318(f318(f227(a1),x83604),x83602))+~P1(f318(f318(f227(a1),x83602),x83604))+P1(f318(f44(x83601,x83602),f318(f318(f243(a1,a1),x83603),x83604)))
% 182.43/182.08 [8529]~P108(x85291)+P1(f318(f318(f227(f905(x85291,a894)),f294(x85291,x85292,x85293)),f294(x85291,x85294,x85295)))+~P1(f318(f318(f226(x85291),x85294),x85292))+~P1(f318(f318(f226(x85291),x85294),x85295))+~P1(f318(f318(f226(x85291),x85293),x85295))+~P1(f318(f318(f227(x85291),x85293),x85295))
% 182.43/182.08 [8530]~P108(x85301)+P1(f318(f318(f227(f905(x85301,a894)),f294(x85301,x85302,x85303)),f294(x85301,x85304,x85305)))+~P1(f318(f318(f226(x85301),x85303),x85305))+~P1(f318(f318(f226(x85301),x85304),x85305))+~P1(f318(f318(f226(x85301),x85304),x85302))+~P1(f318(f318(f227(x85301),x85304),x85302))
% 182.43/182.08 [9395]P57(x93952,x93953,x93954,x93951)+E(x93951,f179(f905(x93952,a894)))+~P1(f318(f28(x93952),x93954))+~P1(f318(f28(x93952),x93951))+~P1(f318(f318(x93953,f487(x93951,x93954,x93953,x93952)),x93955))+~P1(f318(f318(f320(x93952),x93955),x93951))
% 182.43/182.08 [9396]P57(x93962,x93963,x93964,x93961)+E(x93961,f179(f905(x93962,a894)))+~P1(f318(f28(x93962),x93964))+~P1(f318(f28(x93962),x93961))+~P1(f318(f318(x93963,f777(x93963,x93961,x93964,x93962)),x93965))+~P1(f318(f318(f320(x93962),x93965),x93961))
% 182.43/182.08 [9397]P57(x93972,x93973,x93974,x93971)+E(x93971,f179(f905(x93972,a894)))+~P1(f318(f28(x93972),x93974))+~P1(f318(f28(x93972),x93971))+~P1(f318(f318(x93973,f778(x93971,x93974,x93973,x93972)),x93975))+~P1(f318(f318(f320(x93972),x93975),x93971))
% 182.43/182.08 [9545]~E(x95453,x95455)+~P74(x95451)+~P75(x95451)+~P39(x95453)+E(f318(f318(f6(a1,x95451),x95452),x95453),f318(f318(f6(a1,x95451),x95454),x95455))+P1(f318(f318(f226(a1),f2(a1)),f389(x95452,x95454,x95453,x95455,x95451)))
% 182.43/182.08 [9546]~E(x95463,x95465)+~P74(x95461)+~P75(x95461)+~P39(x95463)+E(f318(f318(f9(a1,x95461),x95462),x95463),f318(f318(f9(a1,x95461),x95464),x95465))+P1(f318(f318(f226(a1),f2(a1)),f380(x95462,x95464,x95463,x95465,x95461)))
% 182.43/182.08 [9727]~E(x97275,x97273)+~P74(x97271)+~P75(x97271)+~P39(x97275)+~E(f318(x97272,f389(x97274,x97272,x97275,x97273,x97271)),f318(x97274,f389(x97274,x97272,x97275,x97273,x97271)))+E(f318(f318(f6(a1,x97271),x97272),x97273),f318(f318(f6(a1,x97271),x97274),x97275))
% 182.43/182.08 [9728]~E(x97285,x97283)+~P74(x97281)+~P75(x97281)+~P39(x97285)+~E(f318(x97282,f380(x97284,x97282,x97285,x97283,x97281)),f318(x97284,f380(x97284,x97282,x97285,x97283,x97281)))+E(f318(f318(f9(a1,x97281),x97282),x97283),f318(f318(f9(a1,x97281),x97284),x97285))
% 182.43/182.08 [9815]~P65(x98153)+E(f318(x98151,x98152),f2(x98153))+~E(f318(f318(f6(x98154,x98153),x98151),x98155),f2(x98153))+~P1(f318(f28(x98154),x98155))+P1(f318(f318(f320(x98154),f859(x98152,x98151,x98155,x98154,x98153)),x98155))+~P1(f318(f318(f320(x98154),x98152),x98155))
% 182.43/182.08 [9942]~P65(x99423)+E(f318(x99421,x99422),f2(x99423))+~E(f318(f318(f6(x99424,x99423),x99421),x99425),f2(x99423))+~P1(f318(f28(x99424),x99425))+~P1(f318(f318(f320(x99424),x99422),x99425))+~P1(f318(f318(f226(x99423),f2(x99423)),f318(x99421,f859(x99422,x99421,x99425,x99424,x99423))))
% 182.43/182.08 [8446]~P138(x84461)+~P1(f318(f318(f226(x84461),x84463),x84465))+~P1(f318(f318(f226(x84461),x84462),x84464))+~P1(f318(f318(f226(x84461),f2(x84461)),x84463))+~P1(f318(f318(f226(x84461),f2(x84461)),x84464))+P1(f318(f318(f226(x84461),f318(f318(f76(x84461),x84462),x84463)),f318(f318(f76(x84461),x84464),x84465)))
% 182.43/182.08 [8447]~P138(x84471)+~P1(f318(f318(f226(x84471),x84473),x84475))+~P1(f318(f318(f226(x84471),x84472),x84474))+~P1(f318(f318(f226(x84471),f2(x84471)),x84473))+~P1(f318(f318(f226(x84471),f2(x84471)),x84472))+P1(f318(f318(f226(x84471),f318(f318(f76(x84471),x84472),x84473)),f318(f318(f76(x84471),x84474),x84475)))
% 182.43/182.08 [8448]~P63(x84481)+~P1(f318(f318(f227(x84481),f2(x84481)),x84485))+~P1(f318(f318(f226(x84481),x84485),x84483))+~P1(f318(f318(f226(x84481),x84482),x84484))+~P1(f318(f318(f226(x84481),f2(x84481)),x84482))+P1(f318(f318(f226(x84481),f318(f318(f282(x84481),x84482),x84483)),f318(f318(f282(x84481),x84484),x84485)))
% 182.43/182.08 [8449]~P131(x84491)+~P1(f318(f318(f226(x84491),x84493),x84495))+~P1(f318(f318(f226(x84491),f2(x84491)),x84492))+~P1(f318(f318(f227(x84491),x84492),x84494))+~P1(f318(f318(f227(x84491),f2(x84491)),x84493))+P1(f318(f318(f227(x84491),f318(f318(f76(x84491),x84492),x84493)),f318(f318(f76(x84491),x84494),x84495)))
% 182.43/182.08 [8450]~P131(x84501)+~P1(f318(f318(f226(x84501),x84502),x84504))+~P1(f318(f318(f226(x84501),f2(x84501)),x84503))+~P1(f318(f318(f227(x84501),x84503),x84505))+~P1(f318(f318(f227(x84501),f2(x84501)),x84502))+P1(f318(f318(f227(x84501),f318(f318(f76(x84501),x84502),x84503)),f318(f318(f76(x84501),x84504),x84505)))
% 182.43/182.08 [8451]~P131(x84511)+~P1(f318(f318(f226(x84511),f2(x84511)),x84513))+~P1(f318(f318(f226(x84511),f2(x84511)),x84512))+~P1(f318(f318(f227(x84511),x84513),x84515))+~P1(f318(f318(f227(x84511),x84512),x84514))+P1(f318(f318(f227(x84511),f318(f318(f76(x84511),x84512),x84513)),f318(f318(f76(x84511),x84514),x84515)))
% 182.43/182.08 [8452]~P131(x84521)+~P1(f318(f318(f226(x84521),f2(x84521)),x84523))+~P1(f318(f318(f227(x84521),x84523),x84525))+~P1(f318(f318(f227(x84521),x84522),x84524))+~P1(f318(f318(f227(x84521),f2(x84521)),x84524))+P1(f318(f318(f227(x84521),f318(f318(f76(x84521),x84522),x84523)),f318(f318(f76(x84521),x84524),x84525)))
% 182.43/182.08 [8453]~P63(x84531)+~P1(f318(f318(f226(x84531),x84535),x84533))+~P1(f318(f318(f226(x84531),f2(x84531)),x84532))+~P1(f318(f318(f227(x84531),x84532),x84534))+~P1(f318(f318(f227(x84531),f2(x84531)),x84535))+P1(f318(f318(f227(x84531),f318(f318(f282(x84531),x84532),x84533)),f318(f318(f282(x84531),x84534),x84535)))
% 182.43/182.08 [8454]~P63(x84541)+~P1(f318(f318(f226(x84541),x84542),x84544))+~P1(f318(f318(f227(x84541),x84545),x84543))+~P1(f318(f318(f227(x84541),f2(x84541)),x84545))+~P1(f318(f318(f227(x84541),f2(x84541)),x84542))+P1(f318(f318(f227(x84541),f318(f318(f282(x84541),x84542),x84543)),f318(f318(f282(x84541),x84544),x84545)))
% 182.43/182.08 [9858]~P88(x98585)+~P74(x98585)+E(x98581,f179(f905(x98582,a894)))+~P1(f318(f28(x98582),x98581))+P1(f318(f318(f320(x98582),f863(x98583,x98584,x98581,x98582,x98585)),x98581))+P1(f318(f318(f227(x98585),f318(f318(f6(x98582,x98585),x98584),x98581)),f318(f318(f6(x98582,x98585),x98583),x98581)))
% 182.43/182.08 [9967]~P86(x99671)+~P74(x99671)+~P1(f318(f28(x99672),x99675))+~P1(f318(f318(f226(x99671),f2(x99671)),f318(x99673,f860(x99673,x99674,x99675,x99672,x99671))))+P1(f318(f318(f226(x99671),f318(f318(f6(x99672,x99671),x99673),x99674)),f318(f318(f6(x99672,x99671),x99673),x99675)))+~P1(f318(f318(f226(f905(x99672,a894)),x99674),x99675))
% 182.43/182.08 [10136]~P88(x101363)+~P74(x101363)+E(x101361,f179(f905(x101362,a894)))+~P1(f318(f28(x101362),x101361))+~P1(f318(f318(f227(x101363),f318(x101364,f863(x101365,x101364,x101361,x101362,x101363))),f318(x101365,f863(x101365,x101364,x101361,x101362,x101363))))+P1(f318(f318(f227(x101363),f318(f318(f6(x101362,x101363),x101364),x101361)),f318(f318(f6(x101362,x101363),x101365),x101361)))
% 182.43/182.08 [7171]~P17(x71712,x71715,x71714)+E(x71711,f179(f905(x71712,a894)))+E(x71713,f179(f905(x71712,a894)))+~P1(f318(f28(x71712),x71711))+~P1(f318(f28(x71712),x71713))+E(f318(x71714,f318(f318(f101(f905(x71712,a894)),x71713),x71711)),f318(f318(x71715,f318(x71714,x71713)),f318(x71714,x71711)))
% 182.43/182.08 [7760]~P147(x77601,x77604,x77603)+P1(f318(x77601,x77602))+~P1(f318(f318(f227(a1),x77604),f2(a1)))+~P1(f318(f318(f226(a1),x77605),f2(a1)))+~E(x77603,f318(f318(f75(a1),f318(f318(f76(a1),x77604),x77602)),x77605))+~P1(f318(f318(f227(a1),x77604),x77605))
% 182.43/182.08 [7761]~P146(x77611,x77614,x77613)+P1(f318(x77611,x77612))+~P1(f318(f318(f227(a1),x77614),f2(a1)))+~P1(f318(f318(f226(a1),x77612),f2(a1)))+~E(x77613,f318(f318(f75(a1),f318(f318(f76(a1),x77614),x77615)),x77612))+~P1(f318(f318(f227(a1),x77614),x77612))
% 182.43/182.08 [7803]~P147(x78031,x78034,x78033)+P1(f318(x78031,x78032))+~E(x78033,f318(f318(f75(a1),f318(f318(f76(a1),x78034),x78032)),x78035))+~P1(f318(f318(f226(a1),f2(a1)),x78035))+~P1(f318(f318(f227(a1),f2(a1)),x78034))+~P1(f318(f318(f227(a1),x78035),x78034))
% 182.43/182.08 [7804]~P146(x78041,x78044,x78043)+P1(f318(x78041,x78042))+~E(x78043,f318(f318(f75(a1),f318(f318(f76(a1),x78044),x78045)),x78042))+~P1(f318(f318(f226(a1),f2(a1)),x78042))+~P1(f318(f318(f227(a1),f2(a1)),x78044))+~P1(f318(f318(f227(a1),x78042),x78044))
% 182.43/182.08 [8738]P1(f318(f318(x87381,x87382),x87383))+~P1(f318(f318(x87381,f318(f318(f30(a1),x87384),x87385)),f40(a1,x87384,x87385)))+~P1(f318(f318(f227(a1),x87385),f2(a1)))+~P1(f318(f318(f226(a1),x87383),f2(a1)))+~E(x87384,f318(f318(f75(a1),f318(f318(f76(a1),x87385),x87382)),x87383))+~P1(f318(f318(f227(a1),x87385),x87383))
% 182.43/182.08 [8747]P1(f318(f318(x87471,x87472),x87473))+~P1(f318(f318(x87471,f318(f318(f30(a1),x87474),x87475)),f40(a1,x87474,x87475)))+~E(x87474,f318(f318(f75(a1),f318(f318(f76(a1),x87475),x87472)),x87473))+~P1(f318(f318(f226(a1),f2(a1)),x87473))+~P1(f318(f318(f227(a1),f2(a1)),x87475))+~P1(f318(f318(f227(a1),x87473),x87475))
% 182.43/182.08 [9008]E(x90081,x90082)+~P54(x90083,x90085,x90084)+~P1(f318(f318(f320(x90083),x90082),x90085))+~P1(f318(f318(f320(x90083),x90081),x90085))+P1(f318(f318(f320(f904(x90083,x90083)),f318(f318(f243(x90083,x90083),x90081),x90082)),x90084))+P1(f318(f318(f320(f904(x90083,x90083)),f318(f318(f243(x90083,x90083),x90082),x90081)),x90084))
% 182.43/182.08 [9885]~P86(x98855)+~P74(x98855)+~P1(f318(f28(x98851),x98854))+P1(f318(f318(f226(x98855),f318(f318(f6(x98851,x98855),x98852),x98853)),f318(f318(f6(x98851,x98855),x98852),x98854)))+~P1(f318(f318(f226(f905(x98851,a894)),x98853),x98854))+P1(f318(f318(f320(x98851),f860(x98852,x98853,x98854,x98851,x98855)),f318(f318(f23(f905(x98851,a894)),x98854),x98853)))
% 182.43/182.08 [9975]E(x99751,f179(f905(x99752,a894)))+~P1(f318(f28(x99752),x99753))+~P1(f318(f28(x99752),x99751))+P1(f318(f318(f320(f904(f905(x99752,a894),f905(x99752,a894))),f318(f318(f243(f905(x99752,a894),f905(x99752,a894)),x99753),x99751)),f309(x99752,x99754)))+~P1(f318(f318(f320(x99752),x99755),x99751))+~P1(f318(f318(f320(f904(x99752,x99752)),f318(f318(f243(x99752,x99752),f496(x99754,x99751,x99753,x99752)),x99755)),x99754))
% 182.43/182.08 [9976]E(x99761,f179(f905(x99762,a894)))+~P1(f318(f28(x99762),x99763))+~P1(f318(f28(x99762),x99761))+P1(f318(f318(f320(f904(f905(x99762,a894),f905(x99762,a894))),f318(f318(f243(f905(x99762,a894),f905(x99762,a894)),x99763),x99761)),f309(x99762,x99764)))+~P1(f318(f318(f320(x99762),x99765),x99761))+~P1(f318(f318(f320(f904(x99762,x99762)),f318(f318(f243(x99762,x99762),f551(x99764,x99761,x99763,x99762)),x99765)),x99764))
% 182.43/182.08 [10140]~P65(x101401)+~E(f318(f318(f6(x101405,x101401),x101402),x101406),x101404)+~P1(f318(f28(x101405),x101406))+P1(f318(f318(f320(x101405),f861(x101403,x101404,x101402,x101406,x101405,x101401)),x101406))+P1(f318(f318(f226(x101401),f318(x101402,x101403)),x101404))+~P1(f318(f318(f320(x101405),x101403),x101406))
% 182.43/182.08 [10187]~P65(x101871)+~E(f318(f318(f6(x101875,x101871),x101872),x101876),x101874)+~P1(f318(f28(x101875),x101876))+~P1(f318(f318(f320(x101875),x101873),x101876))+~P1(f318(f318(f226(x101871),f2(x101871)),f318(x101872,f861(x101873,x101874,x101872,x101876,x101875,x101871))))+P1(f318(f318(f226(x101871),f318(x101872,x101873)),x101874))
% 182.43/182.08 [10329]~E(x103295,x103298)+~E(x103294,x103297)+~P81(x103291)+~P74(x103292)+E(f318(f318(f6(x103291,x103292),x103293),f318(f293(x103291,x103294),x103295)),f318(f318(f6(x103291,x103292),x103296),f318(f293(x103291,x103297),x103298)))+P1(f318(f318(f226(x103291),x103294),f449(x103293,x103296,x103295,x103298,x103294,x103297,x103291,x103292)))
% 182.43/182.08 [10345]~E(x103457,x103454)+~E(x103458,x103455)+~P81(x103451)+~P74(x103452)+~E(f318(x103453,f449(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)),f318(x103456,f449(x103456,x103453,x103458,x103455,x103457,x103454,x103451,x103452)))+E(f318(f318(f6(x103451,x103452),x103453),f318(f293(x103451,x103454),x103455)),f318(f318(f6(x103451,x103452),x103456),f318(f293(x103451,x103457),x103458)))
% 182.43/182.08 [10348]~E(x103484,x103487)+~E(x103485,x103488)+~P81(x103481)+~P74(x103482)+E(f318(f318(f6(x103481,x103482),x103483),f318(f293(x103481,x103484),x103485)),f318(f318(f6(x103481,x103482),x103486),f318(f293(x103481,x103487),x103488)))+P1(f318(f318(f227(x103481),f449(x103483,x103486,x103485,x103488,x103484,x103487,x103481,x103482)),x103485))
% 182.43/182.08 [9982]~P8(x99825,x99829,x99826)+~P8(x99821,x998210,x99823)+~P12(x99821,x99825,f905(x99822,a894),x99823,x99826,x99828)+~P1(f318(f318(f320(x99825),x99827),x99829))+~P1(f318(f318(f320(x99821),x99824),x998210))+E(f318(f318(f34(x99821,f905(x99822,a894)),f318(f276(x99821,x99821,x99823),f318(f318(f300(x99821),x99824),f179(f905(x99821,a894))))),f318(f318(f8(f905(x99825,f905(x99822,a894)),f905(x99822,a894),x99821),f318(f34(x99825,f905(x99822,a894)),f318(f276(x99825,x99825,x99826),f318(f318(f300(x99825),x99827),f179(f905(x99825,a894)))))),x99828)),f318(f318(x99828,x99824),x99827))
% 182.43/182.08 [5664]~P82(x56643)+~P13(x56643,x56642)+~P13(x56643,x56641)+E(x56641,x56642)+~E(f318(f163(x56643),x56641),f318(f163(x56643),x56642))+~P1(f318(f128(x56643),x56642))+~P1(f318(f128(x56643),x56641))
% 182.43/182.08 [4991]~P126(x49912)+~P129(x49912)+~P130(x49912)+~P113(x49912)+~E(x49913,f2(x49912))+E(x49911,f2(a898))+E(f318(f318(f235(x49912),x49913),x49911),f2(x49912))
% 182.43/182.08 [9268]E(x92681,f2(a898))+~E(x92682,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x92683)),x92681)),f318(f247(a898,a898),x92683)))+P1(f318(f43(x92682,x92681),x92683))+~P1(f318(f318(f226(a898),f318(f247(a898,a898),x92683)),f2(a898)))+~P1(f318(f318(f226(a898),f2(a898)),f318(f247(a898,a898),x92683)))+~P1(f318(f318(f227(a898),x92681),f318(f247(a898,a898),x92683)))+~P1(f318(f318(f227(a898),f318(f247(a898,a898),x92683)),x92681))
% 182.43/182.08 [9276]~E(f318(f242(a898,a898),x92763),f2(a898))+~E(x92761,f318(f318(f75(a898),f318(f318(f76(a898),f318(f242(a898,a898),x92763)),x92762)),f318(f247(a898,a898),x92763)))+P1(f318(f43(x92761,x92762),x92763))+~P1(f318(f318(f226(a898),f318(f247(a898,a898),x92763)),f2(a898)))+~P1(f318(f318(f226(a898),f2(a898)),f318(f247(a898,a898),x92763)))+~P1(f318(f318(f227(a898),x92762),f318(f247(a898,a898),x92763)))+~P1(f318(f318(f227(a898),f318(f247(a898,a898),x92763)),x92762))
% 182.43/182.08 [8114]~P71(x81142)+E(x81141,f179(f905(x81142,a894)))+E(x81143,f179(f905(x81142,a894)))+~P1(f318(f28(x81142),x81141))+~P1(f318(f28(x81142),x81143))+~E(f318(f318(f92(f905(x81142,a894)),x81143),x81141),f179(f905(x81142,a894)))+E(f318(f318(f76(x81142),f318(f57(x81142,f76(x81142)),x81143)),f318(f57(x81142,f76(x81142)),x81141)),f318(f57(x81142,f76(x81142)),f318(f318(f101(f905(x81142,a894)),x81143),x81141)))
% 182.43/182.08 [7899]E(x78991,f2(a1))+E(f318(f318(f30(a1),x78992),x78991),x78993)+~P1(f318(f318(f226(a1),x78994),f2(a1)))+~E(x78992,f318(f318(f75(a1),f318(f318(f76(a1),x78991),x78993)),x78994))+~P1(f318(f318(f226(a1),f2(a1)),x78994))+~P1(f318(f318(f227(a1),x78994),x78991))+~P1(f318(f318(f227(a1),x78991),x78994))
% 182.43/182.08 [7907]E(f40(a1,x79072,x79071),x79073)+E(x79071,f2(a1))+~P1(f318(f318(f226(a1),x79073),f2(a1)))+~E(x79072,f318(f318(f75(a1),f318(f318(f76(a1),x79071),x79074)),x79073))+~P1(f318(f318(f226(a1),f2(a1)),x79073))+~P1(f318(f318(f227(a1),x79073),x79071))+~P1(f318(f318(f227(a1),x79071),x79073))
% 182.43/182.08 [6951]~P3(x69512)+E(x69511,f2(x69512))+E(x69513,f2(x69512))+~E(f318(f318(f30(x69512),x69514),x69513),f318(f318(f30(x69512),x69515),x69511))+E(f318(f318(f76(x69512),x69514),x69511),f318(f318(f76(x69512),x69513),x69515))+~P1(f318(f318(f278(x69512),x69511),x69515))+~P1(f318(f318(f278(x69512),x69513),x69514))
% 182.43/182.08 [6952]~P3(x69522)+E(x69521,f2(x69522))+E(x69523,f2(x69522))+~E(f318(f318(f76(x69522),x69524),x69523),f318(f318(f76(x69522),x69521),x69525))+E(f318(f318(f30(x69522),x69524),x69521),f318(f318(f30(x69522),x69525),x69523))+~P1(f318(f318(f278(x69522),x69521),x69524))+~P1(f318(f318(f278(x69522),x69523),x69525))
% 182.43/182.08 [7813]~P18(x78132,x78135,x78134)+E(x78131,f179(f905(x78132,a894)))+E(x78133,f179(f905(x78132,a894)))+~P1(f318(f28(x78132),x78131))+~P1(f318(f28(x78132),x78133))+~E(f318(f318(f92(f905(x78132,a894)),x78133),x78131),f179(f905(x78132,a894)))+E(f318(x78134,f318(f318(f101(f905(x78132,a894)),x78133),x78131)),f318(f318(x78135,f318(x78134,x78133)),f318(x78134,x78131)))
% 182.43/182.08 [9518]~P24(x95183,x95181,x95185,x95184)+~P24(x95181,x95183,x95186,x95182)+E(f318(f29(x95181),x95182),f318(f29(x95183),x95184))+~P1(f318(f28(x95183),x95184))+~P1(f318(f28(x95181),x95182))+~P1(f318(f318(f226(f905(x95183,a894)),f318(f301(x95181,x95183,x95186),x95182)),x95184))+~P1(f318(f318(f226(f905(x95181,a894)),f318(f301(x95183,x95181,x95185),x95184)),x95182))
% 182.43/182.08 [9460]~P1(f318(f318(f227(a1),f318(f318(f75(a1),f318(f318(f76(a1),x94605),x94601)),x94606)),f2(a1)))+~E(f318(f318(f75(a1),f318(f318(f76(a1),x94603),x94602)),x94604),f318(f318(f75(a1),f318(f318(f76(a1),x94605),x94601)),x94606))+~P1(f318(f318(f226(a1),f2(a1)),x94606))+~P1(f318(f318(f227(a1),f2(a1)),x94605))+~P1(f318(f318(f226(a1),x94605),x94603))+~P1(f318(f318(f227(a1),x94604),x94603))+P1(f318(f318(f226(a1),x94601),x94602))
% 182.43/182.08 [9219]~E(f318(f318(f75(a1),f318(f318(f76(a1),x92193),x92191)),x92194),f318(f318(f75(a1),f318(f318(f76(a1),x92195),x92192)),x92196))+~P1(f318(f318(f226(a1),f2(a1)),x92194))+~P1(f318(f318(f227(a1),f2(a1)),x92195))+~P1(f318(f318(f226(a1),x92195),x92193))+~P1(f318(f318(f227(a1),x92196),x92195))+P1(f318(f318(f226(a1),x92191),x92192))+~P1(f318(f318(f226(a1),f2(a1)),f318(f318(f75(a1),f318(f318(f76(a1),x92195),x92192)),x92196)))
% 182.43/182.08 [9400]~P133(x94001)+~E(f318(f318(f75(x94001),x94002),x94004),f73(x94001))+~P1(f318(f318(f226(x94001),x94005),x94006))+~P1(f318(f318(f226(x94001),x94003),x94006))+~P1(f318(f318(f226(x94001),f2(x94001)),x94004))+~P1(f318(f318(f226(x94001),f2(x94001)),x94002))+P1(f318(f318(f226(x94001),f318(f318(f75(x94001),f318(f318(f76(x94001),x94002),x94003)),f318(f318(f76(x94001),x94004),x94005))),x94006))
% 182.43/182.08 [9401]~P134(x94011)+~E(f318(f318(f75(x94011),x94012),x94014),f73(x94011))+~P1(f318(f318(f226(x94011),f2(x94011)),x94014))+~P1(f318(f318(f226(x94011),f2(x94011)),x94012))+~P1(f318(f318(f227(x94011),x94015),x94016))+~P1(f318(f318(f227(x94011),x94013),x94016))+P1(f318(f318(f227(x94011),f318(f318(f75(x94011),f318(f318(f76(x94011),x94012),x94013)),f318(f318(f76(x94011),x94014),x94015))),x94016))
% 182.43/182.08 [10234]~P8(x102347,x102346,x102345)+E(x102341,x102342)+~P11(x102347,f905(x102344,a894),x102345,x102343)+E(f318(x102343,f474(x102341,x102342,x102343,x102344,x102345,x102346,x102347)),f318(x102343,f475(x102341,x102342,x102343,x102344,x102345,x102346,x102347)))+~E(f318(f318(f34(x102347,f905(x102344,a894)),x102341),x102343),f318(f318(f34(x102347,f905(x102344,a894)),x102342),x102343))+~P1(f318(f318(f320(f905(x102347,a894)),x102342),f318(f318(f55(x102347),x102346),x102345)))+~P1(f318(f318(f320(f905(x102347,a894)),x102341),f318(f318(f55(x102347),x102346),x102345)))
% 182.43/182.08 [10285]~P8(x102853,x102857,x102856)+E(x102851,x102852)+~P11(x102853,f905(x102855,a894),x102856,x102854)+~E(f318(f318(f34(x102853,f905(x102855,a894)),x102851),x102854),f318(f318(f34(x102853,f905(x102855,a894)),x102852),x102854))+P1(f318(f318(f320(x102853),f475(x102851,x102852,x102854,x102855,x102856,x102857,x102853)),x102857))+~P1(f318(f318(f320(f905(x102853,a894)),x102852),f318(f318(f55(x102853),x102857),x102856)))+~P1(f318(f318(f320(f905(x102853,a894)),x102851),f318(f318(f55(x102853),x102857),x102856)))
% 182.43/182.08 [10286]~P8(x102863,x102867,x102866)+E(x102861,x102862)+~P11(x102863,f905(x102865,a894),x102866,x102864)+~E(f318(f318(f34(x102863,f905(x102865,a894)),x102861),x102864),f318(f318(f34(x102863,f905(x102865,a894)),x102862),x102864))+P1(f318(f318(f320(x102863),f474(x102861,x102862,x102864,x102865,x102866,x102867,x102863)),x102867))+~P1(f318(f318(f320(f905(x102863,a894)),x102862),f318(f318(f55(x102863),x102867),x102866)))+~P1(f318(f318(f320(f905(x102863,a894)),x102861),f318(f318(f55(x102863),x102867),x102866)))
% 182.43/182.08 [10364]E(x103641,x103642)+~P8(x103643,x103646,x103647)+~P11(x103643,f905(x103644,a894),x103647,x103645)+~E(f318(f318(f34(x103643,f905(x103644,a894)),x103641),x103645),f318(f318(f34(x103643,f905(x103644,a894)),x103642),x103645))+~P1(f318(f318(f320(f904(x103643,x103643)),f318(f318(f243(x103643,x103643),f475(x103641,x103642,x103645,x103644,x103647,x103646,x103643)),f474(x103641,x103642,x103645,x103644,x103647,x103646,x103643))),x103647))+~P1(f318(f318(f320(f905(x103643,a894)),x103642),f318(f318(f55(x103643),x103646),x103647)))+~P1(f318(f318(f320(f905(x103643,a894)),x103641),f318(f318(f55(x103643),x103646),x103647)))
% 182.43/182.08 [9218]~P8(x92181,x92187,x92184)+~E(x92185,x92186)+~P1(f318(f318(f320(x92181),x92183),x92186))+~P1(f318(f318(f320(x92181),x92182),x92185))+~P1(f318(f318(f320(f905(x92181,a894)),x92186),f318(f318(f55(x92181),x92187),x92184)))+~P1(f318(f318(f320(f905(x92181,a894)),x92185),f318(f318(f55(x92181),x92187),x92184)))+P1(f318(f318(f320(f904(x92181,x92181)),f318(f318(f243(x92181,x92181),x92182),x92183)),x92184))
% 182.43/182.08 [9357]E(x93571,x93572)+~P8(x93573,x93574,x93575)+~P1(f318(f318(f320(x93573),x93576),x93572))+~P1(f318(f318(f320(x93573),x93577),x93571))+~P1(f318(f318(f320(f905(x93573,a894)),x93572),f318(f318(f55(x93573),x93574),x93575)))+~P1(f318(f318(f320(f905(x93573,a894)),x93571),f318(f318(f55(x93573),x93574),x93575)))+~P1(f318(f318(f320(f904(x93573,x93573)),f318(f318(f243(x93573,x93573),x93577),x93576)),x93575))
% 182.43/182.08 [10391]~P8(x103919,x103918,x103917)+~P8(x103911,x1039111,x1039110)+~P12(x103911,x103919,f905(x103916,a894),x1039110,x103917,x103915)+P1(f318(f318(f320(x103911),f477(x103912,x103913,x103914,x103915,x103916,x103917,x103918,x103919,x1039110,x1039111,x103911)),x1039111))+~P1(f318(f318(f320(f905(x103919,a894)),x103913),f318(f318(f55(x103919),x103918),x103917)))+~P1(f318(f318(f320(f905(x103911,a894)),x103914),f318(f318(f55(x103911),x1039111),x1039110)))+P1(f318(f318(f320(f905(x103916,a894)),f318(f318(f34(x103911,f905(x103916,a894)),x103914),f318(f318(f8(f905(x103919,f905(x103916,a894)),f905(x103916,a894),x103911),f318(f34(x103919,f905(x103916,a894)),x103913)),x103915))),x103912))
% 182.43/182.08 [10392]~P8(x1039211,x1039210,x103929)+~P8(x103921,x103928,x103927)+~P12(x1039211,x103921,f905(x103926,a894),x103929,x103927,x103925)+P1(f318(f318(f320(x103921),f478(x103922,x103923,x103924,x103925,x103926,x103927,x103928,x103921,x103929,x1039210,x1039211)),x103928))+~P1(f318(f318(f320(f905(x1039211,a894)),x103924),f318(f318(f55(x1039211),x1039210),x103929)))+~P1(f318(f318(f320(f905(x103921,a894)),x103923),f318(f318(f55(x103921),x103928),x103927)))+P1(f318(f318(f320(f905(x103926,a894)),f318(f318(f34(x1039211,f905(x103926,a894)),x103924),f318(f318(f8(f905(x103921,f905(x103926,a894)),f905(x103926,a894),x1039211),f318(f34(x103921,f905(x103926,a894)),x103923)),x103925))),x103922))
% 182.43/182.08 [10393]~P8(x103932,x103938,x103939)+~P8(x103934,x1039310,x1039311)+~P12(x103932,x103934,f905(x103931,a894),x103939,x1039311,x103936)+~P1(f318(f318(f320(f905(x103932,a894)),x103933),f318(f318(f55(x103932),x103938),x103939)))+~P1(f318(f318(f320(f905(x103934,a894)),x103935),f318(f318(f55(x103934),x1039310),x1039311)))+~P1(f318(f318(f320(f905(x103931,a894)),f318(f318(x103936,f477(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932)),f478(x103937,x103935,x103933,x103936,x103931,x1039311,x1039310,x103934,x103939,x103938,x103932))),x103937))+P1(f318(f318(f320(f905(x103931,a894)),f318(f318(f34(x103932,f905(x103931,a894)),x103933),f318(f318(f8(f905(x103934,f905(x103931,a894)),f905(x103931,a894),x103932),f318(f34(x103934,f905(x103931,a894)),x103935)),x103936))),x103937))
% 182.43/182.08 [9254]E(x92541,x92542)+~P82(x92544)+~P24(x92543,x92544,x92545,f318(f318(f101(f905(x92543,a894)),f318(f163(x92543),x92541)),f318(f163(x92543),x92542)))+~E(f318(f163(x92543),x92541),f318(f163(x92543),x92542))+~P13(x92544,f318(f318(f145(x92543,x92544),x92545),x92542))+~P13(x92544,f318(f318(f145(x92543,x92544),x92545),x92541))+~P1(f318(f128(x92544),f318(f318(f145(x92543,x92544),x92545),x92542)))+~P1(f318(f128(x92544),f318(f318(f145(x92543,x92544),x92545),x92541)))
% 182.43/182.08 %EqnAxiom
% 182.43/182.08 [1]E(x11,x11)
% 182.43/182.08 [2]E(x22,x21)+~E(x21,x22)
% 182.43/182.08 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 182.43/182.08 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 182.43/182.08 [5]~E(x51,x52)+E(f91(x51),f91(x52))
% 182.43/182.08 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 182.43/182.08 [7]~E(x71,x72)+E(f179(x71),f179(x72))
% 182.43/182.08 [8]~E(x81,x82)+E(f318(x81,x83),f318(x82,x83))
% 182.43/182.08 [9]~E(x91,x92)+E(f318(x93,x91),f318(x93,x92))
% 182.43/182.08 [10]~E(x101,x102)+E(f92(x101),f92(x102))
% 182.43/182.08 [11]~E(x111,x112)+E(f224(x111),f224(x112))
% 182.43/182.08 [12]~E(x121,x122)+E(f101(x121),f101(x122))
% 182.43/182.08 [13]~E(x131,x132)+E(f225(x131),f225(x132))
% 182.43/182.08 [14]~E(x141,x142)+E(f93(x141),f93(x142))
% 182.43/182.08 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 182.43/182.08 [16]~E(x161,x162)+E(f79(x161),f79(x162))
% 182.43/182.08 [17]~E(x171,x172)+E(f905(x171,x173),f905(x172,x173))
% 182.43/182.08 [18]~E(x181,x182)+E(f905(x183,x181),f905(x183,x182))
% 182.43/182.08 [19]~E(x191,x192)+E(f28(x191),f28(x192))
% 182.43/182.08 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204))
% 182.43/182.08 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214))
% 182.43/182.08 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222))
% 182.43/182.08 [23]~E(x231,x232)+E(f73(x231),f73(x232))
% 182.43/182.08 [24]~E(x241,x242)+E(f478(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f478(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 182.43/182.08 [25]~E(x251,x252)+E(f478(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f478(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 182.43/182.08 [26]~E(x261,x262)+E(f478(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f478(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 182.43/182.08 [27]~E(x271,x272)+E(f478(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f478(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712))
% 182.43/182.08 [28]~E(x281,x282)+E(f478(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f478(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812))
% 182.43/182.08 [29]~E(x291,x292)+E(f478(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f478(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912))
% 182.43/182.08 [30]~E(x301,x302)+E(f478(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f478(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012))
% 182.43/182.08 [31]~E(x311,x312)+E(f478(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f478(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112))
% 182.43/182.08 [32]~E(x321,x322)+E(f478(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f478(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212))
% 182.43/182.08 [33]~E(x331,x332)+E(f478(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f478(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312))
% 182.43/182.08 [34]~E(x341,x342)+E(f478(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f478(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342))
% 182.43/182.08 [35]~E(x351,x352)+E(f899(x351),f899(x352))
% 182.43/182.08 [36]~E(x361,x362)+E(f102(x361),f102(x362))
% 182.43/182.08 [37]~E(x371,x372)+E(f477(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f477(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 182.43/182.08 [38]~E(x381,x382)+E(f477(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f477(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 182.43/182.08 [39]~E(x391,x392)+E(f477(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f477(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 182.43/182.08 [40]~E(x401,x402)+E(f477(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f477(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 182.43/182.08 [41]~E(x411,x412)+E(f477(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f477(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 182.43/182.08 [42]~E(x421,x422)+E(f477(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f477(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 182.43/182.08 [43]~E(x431,x432)+E(f477(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f477(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 182.43/182.08 [44]~E(x441,x442)+E(f477(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f477(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 182.43/182.08 [45]~E(x451,x452)+E(f477(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f477(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 182.43/182.08 [46]~E(x461,x462)+E(f477(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f477(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 182.43/182.08 [47]~E(x471,x472)+E(f477(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f477(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 182.43/182.08 [48]~E(x481,x482)+E(f320(x481),f320(x482))
% 182.43/182.08 [49]~E(x491,x492)+E(f4(x491),f4(x492))
% 182.43/182.08 [50]~E(x501,x502)+E(f74(x501),f74(x502))
% 182.43/182.08 [51]~E(x511,x512)+E(f901(x511),f901(x512))
% 182.43/182.08 [52]~E(x521,x522)+E(f904(x521,x523),f904(x522,x523))
% 182.43/182.08 [53]~E(x531,x532)+E(f904(x533,x531),f904(x533,x532))
% 182.43/182.08 [54]~E(x541,x542)+E(f900(x541),f900(x542))
% 182.43/182.08 [55]~E(x551,x552)+E(f140(x551,x553,x554,x555,x556),f140(x552,x553,x554,x555,x556))
% 182.43/182.08 [56]~E(x561,x562)+E(f140(x563,x561,x564,x565,x566),f140(x563,x562,x564,x565,x566))
% 182.43/182.08 [57]~E(x571,x572)+E(f140(x573,x574,x571,x575,x576),f140(x573,x574,x572,x575,x576))
% 182.43/182.08 [58]~E(x581,x582)+E(f140(x583,x584,x585,x581,x586),f140(x583,x584,x585,x582,x586))
% 182.43/182.08 [59]~E(x591,x592)+E(f140(x593,x594,x595,x596,x591),f140(x593,x594,x595,x596,x592))
% 182.43/182.08 [60]~E(x601,x602)+E(f253(x601),f253(x602))
% 182.43/182.08 [61]~E(x611,x612)+E(f94(x611),f94(x612))
% 182.43/182.08 [62]~E(x621,x622)+E(f711(x621,x623),f711(x622,x623))
% 182.43/182.08 [63]~E(x631,x632)+E(f711(x633,x631),f711(x633,x632))
% 182.43/182.08 [64]~E(x641,x642)+E(f180(x641),f180(x642))
% 182.43/182.08 [65]~E(x651,x652)+E(f7(x651,x653,x654),f7(x652,x653,x654))
% 182.43/182.08 [66]~E(x661,x662)+E(f7(x663,x661,x664),f7(x663,x662,x664))
% 182.43/182.08 [67]~E(x671,x672)+E(f7(x673,x674,x671),f7(x673,x674,x672))
% 182.43/182.08 [68]~E(x681,x682)+E(f76(x681),f76(x682))
% 182.43/182.08 [69]~E(x691,x692)+E(f75(x691),f75(x692))
% 182.43/182.08 [70]~E(x701,x702)+E(f226(x701),f226(x702))
% 182.43/182.08 [71]~E(x711,x712)+E(f227(x711),f227(x712))
% 182.43/182.08 [72]~E(x721,x722)+E(f273(x721),f273(x722))
% 182.43/182.08 [73]~E(x731,x732)+E(f298(x731,x733),f298(x732,x733))
% 182.43/182.08 [74]~E(x741,x742)+E(f298(x743,x741),f298(x743,x742))
% 182.43/182.08 [75]~E(x751,x752)+E(f301(x751,x753,x754),f301(x752,x753,x754))
% 182.43/182.08 [76]~E(x761,x762)+E(f301(x763,x761,x764),f301(x763,x762,x764))
% 182.43/182.08 [77]~E(x771,x772)+E(f301(x773,x774,x771),f301(x773,x774,x772))
% 182.43/182.08 [78]~E(x781,x782)+E(f177(x781),f177(x782))
% 182.43/182.08 [79]~E(x791,x792)+E(f8(x791,x793,x794),f8(x792,x793,x794))
% 182.43/182.08 [80]~E(x801,x802)+E(f8(x803,x801,x804),f8(x803,x802,x804))
% 182.43/182.08 [81]~E(x811,x812)+E(f8(x813,x814,x811),f8(x813,x814,x812))
% 182.43/182.08 [82]~E(x821,x822)+E(f278(x821),f278(x822))
% 182.43/182.08 [83]~E(x831,x832)+E(f125(x831),f125(x832))
% 182.43/182.08 [84]~E(x841,x842)+E(f282(x841),f282(x842))
% 182.43/182.08 [85]~E(x851,x852)+E(f55(x851),f55(x852))
% 182.43/182.08 [86]~E(x861,x862)+E(f882(x861,x863),f882(x862,x863))
% 182.43/182.08 [87]~E(x871,x872)+E(f882(x873,x871),f882(x873,x872))
% 182.43/182.08 [88]~E(x881,x882)+E(f243(x881,x883),f243(x882,x883))
% 182.43/182.08 [89]~E(x891,x892)+E(f243(x893,x891),f243(x893,x892))
% 182.43/182.08 [90]~E(x901,x902)+E(f233(x901),f233(x902))
% 182.43/182.08 [91]~E(x911,x912)+E(f163(x911),f163(x912))
% 182.43/182.08 [92]~E(x921,x922)+E(f300(x921),f300(x922))
% 182.43/182.08 [93]~E(x931,x932)+E(f129(x931),f129(x932))
% 182.43/182.08 [94]~E(x941,x942)+E(f228(x941,x943),f228(x942,x943))
% 182.43/182.08 [95]~E(x951,x952)+E(f228(x953,x951),f228(x953,x952))
% 182.43/182.08 [96]~E(x961,x962)+E(f30(x961),f30(x962))
% 182.43/182.08 [97]~E(x971,x972)+E(f293(x971,x973),f293(x972,x973))
% 182.43/182.08 [98]~E(x981,x982)+E(f293(x983,x981),f293(x983,x982))
% 182.43/182.08 [99]~E(x991,x992)+E(f166(x991),f166(x992))
% 182.43/182.08 [100]~E(x1001,x1002)+E(f34(x1001,x1003),f34(x1002,x1003))
% 182.43/182.08 [101]~E(x1011,x1012)+E(f34(x1013,x1011),f34(x1013,x1012))
% 182.43/182.08 [102]~E(x1021,x1022)+E(f709(x1021,x1023),f709(x1022,x1023))
% 182.43/182.08 [103]~E(x1031,x1032)+E(f709(x1033,x1031),f709(x1033,x1032))
% 182.43/182.08 [104]~E(x1041,x1042)+E(f130(x1041,x1043),f130(x1042,x1043))
% 182.43/182.08 [105]~E(x1051,x1052)+E(f130(x1053,x1051),f130(x1053,x1052))
% 182.43/182.08 [106]~E(x1061,x1062)+E(f12(x1061,x1063,x1064),f12(x1062,x1063,x1064))
% 182.43/182.08 [107]~E(x1071,x1072)+E(f12(x1073,x1071,x1074),f12(x1073,x1072,x1074))
% 182.43/182.08 [108]~E(x1081,x1082)+E(f12(x1083,x1084,x1081),f12(x1083,x1084,x1082))
% 182.43/182.08 [109]~E(x1091,x1092)+E(f275(x1091,x1093),f275(x1092,x1093))
% 182.43/182.08 [110]~E(x1101,x1102)+E(f275(x1103,x1101),f275(x1103,x1102))
% 182.43/182.08 [111]~E(x1111,x1112)+E(f70(x1111),f70(x1112))
% 182.43/182.08 [112]~E(x1121,x1122)+E(f40(x1121,x1123,x1124),f40(x1122,x1123,x1124))
% 182.43/182.08 [113]~E(x1131,x1132)+E(f40(x1133,x1131,x1134),f40(x1133,x1132,x1134))
% 182.43/182.08 [114]~E(x1141,x1142)+E(f40(x1143,x1144,x1141),f40(x1143,x1144,x1142))
% 182.43/182.08 [115]~E(x1151,x1152)+E(f439(x1151,x1153,x1154),f439(x1152,x1153,x1154))
% 182.43/182.08 [116]~E(x1161,x1162)+E(f439(x1163,x1161,x1164),f439(x1163,x1162,x1164))
% 182.43/182.08 [117]~E(x1171,x1172)+E(f439(x1173,x1174,x1171),f439(x1173,x1174,x1172))
% 182.43/182.08 [118]~E(x1181,x1182)+E(f302(x1181,x1183,x1184),f302(x1182,x1183,x1184))
% 182.43/182.08 [119]~E(x1191,x1192)+E(f302(x1193,x1191,x1194),f302(x1193,x1192,x1194))
% 182.43/182.08 [120]~E(x1201,x1202)+E(f302(x1203,x1204,x1201),f302(x1203,x1204,x1202))
% 182.43/182.08 [121]~E(x1211,x1212)+E(f646(x1211,x1213),f646(x1212,x1213))
% 182.43/182.08 [122]~E(x1221,x1222)+E(f646(x1223,x1221),f646(x1223,x1222))
% 182.43/182.08 [123]~E(x1231,x1232)+E(f44(x1231,x1233),f44(x1232,x1233))
% 182.43/182.08 [124]~E(x1241,x1242)+E(f44(x1243,x1241),f44(x1243,x1242))
% 182.43/182.08 [125]~E(x1251,x1252)+E(f381(x1251,x1253,x1254),f381(x1252,x1253,x1254))
% 182.43/182.08 [126]~E(x1261,x1262)+E(f381(x1263,x1261,x1264),f381(x1263,x1262,x1264))
% 182.43/182.08 [127]~E(x1271,x1272)+E(f381(x1273,x1274,x1271),f381(x1273,x1274,x1272))
% 182.43/182.08 [128]~E(x1281,x1282)+E(f16(x1281,x1283),f16(x1282,x1283))
% 182.43/182.08 [129]~E(x1291,x1292)+E(f16(x1293,x1291),f16(x1293,x1292))
% 182.43/182.08 [130]~E(x1301,x1302)+E(f96(x1301),f96(x1302))
% 182.43/182.08 [131]~E(x1311,x1312)+E(f98(x1311),f98(x1312))
% 182.43/182.08 [132]~E(x1321,x1322)+E(f319(x1321),f319(x1322))
% 182.43/182.08 [133]~E(x1331,x1332)+E(f615(x1331,x1333,x1334),f615(x1332,x1333,x1334))
% 182.43/182.08 [134]~E(x1341,x1342)+E(f615(x1343,x1341,x1344),f615(x1343,x1342,x1344))
% 182.43/182.08 [135]~E(x1351,x1352)+E(f615(x1353,x1354,x1351),f615(x1353,x1354,x1352))
% 182.43/182.08 [136]~E(x1361,x1362)+E(f521(x1361),f521(x1362))
% 182.43/182.08 [137]~E(x1371,x1372)+E(f589(x1371,x1373,x1374,x1375,x1376),f589(x1372,x1373,x1374,x1375,x1376))
% 182.43/182.08 [138]~E(x1381,x1382)+E(f589(x1383,x1381,x1384,x1385,x1386),f589(x1383,x1382,x1384,x1385,x1386))
% 182.43/182.08 [139]~E(x1391,x1392)+E(f589(x1393,x1394,x1391,x1395,x1396),f589(x1393,x1394,x1392,x1395,x1396))
% 182.43/182.08 [140]~E(x1401,x1402)+E(f589(x1403,x1404,x1405,x1401,x1406),f589(x1403,x1404,x1405,x1402,x1406))
% 182.43/182.08 [141]~E(x1411,x1412)+E(f589(x1413,x1414,x1415,x1416,x1411),f589(x1413,x1414,x1415,x1416,x1412))
% 182.43/182.08 [142]~E(x1421,x1422)+E(f761(x1421,x1423,x1424,x1425),f761(x1422,x1423,x1424,x1425))
% 182.43/182.08 [143]~E(x1431,x1432)+E(f761(x1433,x1431,x1434,x1435),f761(x1433,x1432,x1434,x1435))
% 182.43/182.08 [144]~E(x1441,x1442)+E(f761(x1443,x1444,x1441,x1445),f761(x1443,x1444,x1442,x1445))
% 182.43/182.08 [145]~E(x1451,x1452)+E(f761(x1453,x1454,x1455,x1451),f761(x1453,x1454,x1455,x1452))
% 182.43/182.08 [146]~E(x1461,x1462)+E(f232(x1461,x1463),f232(x1462,x1463))
% 182.43/182.08 [147]~E(x1471,x1472)+E(f232(x1473,x1471),f232(x1473,x1472))
% 182.43/182.08 [148]~E(x1481,x1482)+E(f235(x1481),f235(x1482))
% 182.43/182.08 [149]~E(x1491,x1492)+E(f437(x1491,x1493,x1494),f437(x1492,x1493,x1494))
% 182.43/182.08 [150]~E(x1501,x1502)+E(f437(x1503,x1501,x1504),f437(x1503,x1502,x1504))
% 182.43/182.08 [151]~E(x1511,x1512)+E(f437(x1513,x1514,x1511),f437(x1513,x1514,x1512))
% 182.43/182.08 [152]~E(x1521,x1522)+E(f249(x1521,x1523,x1524,x1525,x1526,x1527),f249(x1522,x1523,x1524,x1525,x1526,x1527))
% 182.43/182.08 [153]~E(x1531,x1532)+E(f249(x1533,x1531,x1534,x1535,x1536,x1537),f249(x1533,x1532,x1534,x1535,x1536,x1537))
% 182.43/182.08 [154]~E(x1541,x1542)+E(f249(x1543,x1544,x1541,x1545,x1546,x1547),f249(x1543,x1544,x1542,x1545,x1546,x1547))
% 182.43/182.08 [155]~E(x1551,x1552)+E(f249(x1553,x1554,x1555,x1551,x1556,x1557),f249(x1553,x1554,x1555,x1552,x1556,x1557))
% 182.43/182.08 [156]~E(x1561,x1562)+E(f249(x1563,x1564,x1565,x1566,x1561,x1567),f249(x1563,x1564,x1565,x1566,x1562,x1567))
% 182.43/182.08 [157]~E(x1571,x1572)+E(f249(x1573,x1574,x1575,x1576,x1577,x1571),f249(x1573,x1574,x1575,x1576,x1577,x1572))
% 182.43/182.08 [158]~E(x1581,x1582)+E(f309(x1581,x1583),f309(x1582,x1583))
% 182.43/182.08 [159]~E(x1591,x1592)+E(f309(x1593,x1591),f309(x1593,x1592))
% 182.43/182.08 [160]~E(x1601,x1602)+E(f5(x1601),f5(x1602))
% 182.43/182.08 [161]~E(x1611,x1612)+E(f67(x1611,x1613,x1614,x1615),f67(x1612,x1613,x1614,x1615))
% 182.43/182.08 [162]~E(x1621,x1622)+E(f67(x1623,x1621,x1624,x1625),f67(x1623,x1622,x1624,x1625))
% 182.43/182.08 [163]~E(x1631,x1632)+E(f67(x1633,x1634,x1631,x1635),f67(x1633,x1634,x1632,x1635))
% 182.43/182.08 [164]~E(x1641,x1642)+E(f67(x1643,x1644,x1645,x1641),f67(x1643,x1644,x1645,x1642))
% 182.43/182.08 [165]~E(x1651,x1652)+E(f6(x1651,x1653),f6(x1652,x1653))
% 182.43/182.08 [166]~E(x1661,x1662)+E(f6(x1663,x1661),f6(x1663,x1662))
% 182.43/182.08 [167]~E(x1671,x1672)+E(f172(x1671,x1673),f172(x1672,x1673))
% 182.43/182.08 [168]~E(x1681,x1682)+E(f172(x1683,x1681),f172(x1683,x1682))
% 182.43/182.08 [169]~E(x1691,x1692)+E(f174(x1691,x1693),f174(x1692,x1693))
% 182.43/182.08 [170]~E(x1701,x1702)+E(f174(x1703,x1701),f174(x1703,x1702))
% 182.43/182.08 [171]~E(x1711,x1712)+E(f142(x1711),f142(x1712))
% 182.43/182.08 [172]~E(x1721,x1722)+E(f104(x1721),f104(x1722))
% 182.43/182.08 [173]~E(x1731,x1732)+E(f139(x1731,x1733,x1734),f139(x1732,x1733,x1734))
% 182.43/182.08 [174]~E(x1741,x1742)+E(f139(x1743,x1741,x1744),f139(x1743,x1742,x1744))
% 182.43/182.08 [175]~E(x1751,x1752)+E(f139(x1753,x1754,x1751),f139(x1753,x1754,x1752))
% 182.43/182.08 [176]~E(x1761,x1762)+E(f168(x1761,x1763,x1764),f168(x1762,x1763,x1764))
% 182.43/182.08 [177]~E(x1771,x1772)+E(f168(x1773,x1771,x1774),f168(x1773,x1772,x1774))
% 182.43/182.08 [178]~E(x1781,x1782)+E(f168(x1783,x1784,x1781),f168(x1783,x1784,x1782))
% 182.43/182.08 [179]~E(x1791,x1792)+E(f845(x1791,x1793,x1794),f845(x1792,x1793,x1794))
% 182.43/182.08 [180]~E(x1801,x1802)+E(f845(x1803,x1801,x1804),f845(x1803,x1802,x1804))
% 182.43/182.08 [181]~E(x1811,x1812)+E(f845(x1813,x1814,x1811),f845(x1813,x1814,x1812))
% 182.43/182.08 [182]~E(x1821,x1822)+E(f294(x1821,x1823,x1824),f294(x1822,x1823,x1824))
% 182.43/182.08 [183]~E(x1831,x1832)+E(f294(x1833,x1831,x1834),f294(x1833,x1832,x1834))
% 182.43/182.08 [184]~E(x1841,x1842)+E(f294(x1843,x1844,x1841),f294(x1843,x1844,x1842))
% 182.43/182.08 [185]~E(x1851,x1852)+E(f145(x1851,x1853),f145(x1852,x1853))
% 182.43/182.08 [186]~E(x1861,x1862)+E(f145(x1863,x1861),f145(x1863,x1862))
% 182.43/182.08 [187]~E(x1871,x1872)+E(f146(x1871,x1873,x1874),f146(x1872,x1873,x1874))
% 182.43/182.08 [188]~E(x1881,x1882)+E(f146(x1883,x1881,x1884),f146(x1883,x1882,x1884))
% 182.43/182.08 [189]~E(x1891,x1892)+E(f146(x1893,x1894,x1891),f146(x1893,x1894,x1892))
% 182.43/182.08 [190]~E(x1901,x1902)+E(f242(x1901,x1903),f242(x1902,x1903))
% 182.43/182.08 [191]~E(x1911,x1912)+E(f242(x1913,x1911),f242(x1913,x1912))
% 182.43/182.08 [192]~E(x1921,x1922)+E(f276(x1921,x1923,x1924),f276(x1922,x1923,x1924))
% 182.43/182.08 [193]~E(x1931,x1932)+E(f276(x1933,x1931,x1934),f276(x1933,x1932,x1934))
% 182.43/182.08 [194]~E(x1941,x1942)+E(f276(x1943,x1944,x1941),f276(x1943,x1944,x1942))
% 182.43/182.08 [195]~E(x1951,x1952)+E(f376(x1951,x1953,x1954),f376(x1952,x1953,x1954))
% 182.43/182.08 [196]~E(x1961,x1962)+E(f376(x1963,x1961,x1964),f376(x1963,x1962,x1964))
% 182.43/182.08 [197]~E(x1971,x1972)+E(f376(x1973,x1974,x1971),f376(x1973,x1974,x1972))
% 182.43/182.08 [198]~E(x1981,x1982)+E(f834(x1981,x1983,x1984,x1985,x1986,x1987),f834(x1982,x1983,x1984,x1985,x1986,x1987))
% 182.43/182.08 [199]~E(x1991,x1992)+E(f834(x1993,x1991,x1994,x1995,x1996,x1997),f834(x1993,x1992,x1994,x1995,x1996,x1997))
% 182.43/182.08 [200]~E(x2001,x2002)+E(f834(x2003,x2004,x2001,x2005,x2006,x2007),f834(x2003,x2004,x2002,x2005,x2006,x2007))
% 182.43/182.08 [201]~E(x2011,x2012)+E(f834(x2013,x2014,x2015,x2011,x2016,x2017),f834(x2013,x2014,x2015,x2012,x2016,x2017))
% 182.43/182.08 [202]~E(x2021,x2022)+E(f834(x2023,x2024,x2025,x2026,x2021,x2027),f834(x2023,x2024,x2025,x2026,x2022,x2027))
% 182.43/182.08 [203]~E(x2031,x2032)+E(f834(x2033,x2034,x2035,x2036,x2037,x2031),f834(x2033,x2034,x2035,x2036,x2037,x2032))
% 182.43/182.08 [204]~E(x2041,x2042)+E(f69(x2041,x2043,x2044,x2045,x2046),f69(x2042,x2043,x2044,x2045,x2046))
% 182.43/182.08 [205]~E(x2051,x2052)+E(f69(x2053,x2051,x2054,x2055,x2056),f69(x2053,x2052,x2054,x2055,x2056))
% 182.43/182.08 [206]~E(x2061,x2062)+E(f69(x2063,x2064,x2061,x2065,x2066),f69(x2063,x2064,x2062,x2065,x2066))
% 182.43/182.08 [207]~E(x2071,x2072)+E(f69(x2073,x2074,x2075,x2071,x2076),f69(x2073,x2074,x2075,x2072,x2076))
% 182.43/182.08 [208]~E(x2081,x2082)+E(f69(x2083,x2084,x2085,x2086,x2081),f69(x2083,x2084,x2085,x2086,x2082))
% 182.43/182.08 [209]~E(x2091,x2092)+E(f132(x2091),f132(x2092))
% 182.43/182.08 [210]~E(x2101,x2102)+E(f128(x2101),f128(x2102))
% 182.43/182.08 [211]~E(x2111,x2112)+E(f35(x2111,x2113),f35(x2112,x2113))
% 182.43/182.08 [212]~E(x2121,x2122)+E(f35(x2123,x2121),f35(x2123,x2122))
% 182.43/182.08 [213]~E(x2131,x2132)+E(f29(x2131),f29(x2132))
% 182.43/182.08 [214]~E(x2141,x2142)+E(f698(x2141,x2143,x2144),f698(x2142,x2143,x2144))
% 182.43/182.08 [215]~E(x2151,x2152)+E(f698(x2153,x2151,x2154),f698(x2153,x2152,x2154))
% 182.43/182.08 [216]~E(x2161,x2162)+E(f698(x2163,x2164,x2161),f698(x2163,x2164,x2162))
% 182.43/182.08 [217]~E(x2171,x2172)+E(f288(x2171,x2173,x2174,x2175,x2176),f288(x2172,x2173,x2174,x2175,x2176))
% 182.43/182.08 [218]~E(x2181,x2182)+E(f288(x2183,x2181,x2184,x2185,x2186),f288(x2183,x2182,x2184,x2185,x2186))
% 182.43/182.08 [219]~E(x2191,x2192)+E(f288(x2193,x2194,x2191,x2195,x2196),f288(x2193,x2194,x2192,x2195,x2196))
% 182.43/182.08 [220]~E(x2201,x2202)+E(f288(x2203,x2204,x2205,x2201,x2206),f288(x2203,x2204,x2205,x2202,x2206))
% 182.43/182.08 [221]~E(x2211,x2212)+E(f288(x2213,x2214,x2215,x2216,x2211),f288(x2213,x2214,x2215,x2216,x2212))
% 182.43/182.08 [222]~E(x2221,x2222)+E(f565(x2221,x2223,x2224),f565(x2222,x2223,x2224))
% 182.43/182.08 [223]~E(x2231,x2232)+E(f565(x2233,x2231,x2234),f565(x2233,x2232,x2234))
% 182.43/182.08 [224]~E(x2241,x2242)+E(f565(x2243,x2244,x2241),f565(x2243,x2244,x2242))
% 182.43/182.08 [225]~E(x2251,x2252)+E(f31(x2251,x2253),f31(x2252,x2253))
% 182.43/182.08 [226]~E(x2261,x2262)+E(f31(x2263,x2261),f31(x2263,x2262))
% 182.43/182.08 [227]~E(x2271,x2272)+E(f424(x2271,x2273),f424(x2272,x2273))
% 182.43/182.08 [228]~E(x2281,x2282)+E(f424(x2283,x2281),f424(x2283,x2282))
% 182.43/182.08 [229]~E(x2291,x2292)+E(f506(x2291,x2293,x2294,x2295),f506(x2292,x2293,x2294,x2295))
% 182.43/182.08 [230]~E(x2301,x2302)+E(f506(x2303,x2301,x2304,x2305),f506(x2303,x2302,x2304,x2305))
% 182.43/182.08 [231]~E(x2311,x2312)+E(f506(x2313,x2314,x2311,x2315),f506(x2313,x2314,x2312,x2315))
% 182.43/182.08 [232]~E(x2321,x2322)+E(f506(x2323,x2324,x2325,x2321),f506(x2323,x2324,x2325,x2322))
% 182.43/182.08 [233]~E(x2331,x2332)+E(f10(x2331,x2333),f10(x2332,x2333))
% 182.43/182.08 [234]~E(x2341,x2342)+E(f10(x2343,x2341),f10(x2343,x2342))
% 182.43/182.08 [235]~E(x2351,x2352)+E(f57(x2351,x2353),f57(x2352,x2353))
% 182.43/182.08 [236]~E(x2361,x2362)+E(f57(x2363,x2361),f57(x2363,x2362))
% 182.43/182.08 [237]~E(x2371,x2372)+E(f150(x2371,x2373),f150(x2372,x2373))
% 182.43/182.08 [238]~E(x2381,x2382)+E(f150(x2383,x2381),f150(x2383,x2382))
% 182.43/182.08 [239]~E(x2391,x2392)+E(f254(x2391,x2393),f254(x2392,x2393))
% 182.43/182.08 [240]~E(x2401,x2402)+E(f254(x2403,x2401),f254(x2403,x2402))
% 182.43/182.08 [241]~E(x2411,x2412)+E(f14(x2411,x2413),f14(x2412,x2413))
% 182.43/182.08 [242]~E(x2421,x2422)+E(f14(x2423,x2421),f14(x2423,x2422))
% 182.43/182.08 [243]~E(x2431,x2432)+E(f903(x2431,x2433),f903(x2432,x2433))
% 182.43/182.08 [244]~E(x2441,x2442)+E(f903(x2443,x2441),f903(x2443,x2442))
% 182.43/182.08 [245]~E(x2451,x2452)+E(f862(x2451,x2453,x2454,x2455,x2456),f862(x2452,x2453,x2454,x2455,x2456))
% 182.43/182.08 [246]~E(x2461,x2462)+E(f862(x2463,x2461,x2464,x2465,x2466),f862(x2463,x2462,x2464,x2465,x2466))
% 182.43/182.08 [247]~E(x2471,x2472)+E(f862(x2473,x2474,x2471,x2475,x2476),f862(x2473,x2474,x2472,x2475,x2476))
% 182.43/182.08 [248]~E(x2481,x2482)+E(f862(x2483,x2484,x2485,x2481,x2486),f862(x2483,x2484,x2485,x2482,x2486))
% 182.43/182.08 [249]~E(x2491,x2492)+E(f862(x2493,x2494,x2495,x2496,x2491),f862(x2493,x2494,x2495,x2496,x2492))
% 182.43/182.08 [250]~E(x2501,x2502)+E(f279(x2501,x2503),f279(x2502,x2503))
% 182.43/182.08 [251]~E(x2511,x2512)+E(f279(x2513,x2511),f279(x2513,x2512))
% 182.43/182.08 [252]~E(x2521,x2522)+E(f234(x2521,x2523,x2524),f234(x2522,x2523,x2524))
% 182.43/182.08 [253]~E(x2531,x2532)+E(f234(x2533,x2531,x2534),f234(x2533,x2532,x2534))
% 182.43/182.08 [254]~E(x2541,x2542)+E(f234(x2543,x2544,x2541),f234(x2543,x2544,x2542))
% 182.43/182.08 [255]~E(x2551,x2552)+E(f105(x2551,x2553),f105(x2552,x2553))
% 182.43/182.08 [256]~E(x2561,x2562)+E(f105(x2563,x2561),f105(x2563,x2562))
% 182.43/182.08 [257]~E(x2571,x2572)+E(f362(x2571,x2573,x2574),f362(x2572,x2573,x2574))
% 182.43/182.08 [258]~E(x2581,x2582)+E(f362(x2583,x2581,x2584),f362(x2583,x2582,x2584))
% 182.43/182.08 [259]~E(x2591,x2592)+E(f362(x2593,x2594,x2591),f362(x2593,x2594,x2592))
% 182.43/182.08 [260]~E(x2601,x2602)+E(f32(x2601,x2603),f32(x2602,x2603))
% 182.43/182.08 [261]~E(x2611,x2612)+E(f32(x2613,x2611),f32(x2613,x2612))
% 182.43/182.08 [262]~E(x2621,x2622)+E(f143(x2621,x2623),f143(x2622,x2623))
% 182.43/182.08 [263]~E(x2631,x2632)+E(f143(x2633,x2631),f143(x2633,x2632))
% 182.43/182.08 [264]~E(x2641,x2642)+E(f160(x2641,x2643,x2644),f160(x2642,x2643,x2644))
% 182.43/182.08 [265]~E(x2651,x2652)+E(f160(x2653,x2651,x2654),f160(x2653,x2652,x2654))
% 182.43/182.08 [266]~E(x2661,x2662)+E(f160(x2663,x2664,x2661),f160(x2663,x2664,x2662))
% 182.43/182.08 [267]~E(x2671,x2672)+E(f182(x2671),f182(x2672))
% 182.43/182.08 [268]~E(x2681,x2682)+E(f280(x2681,x2683,x2684),f280(x2682,x2683,x2684))
% 182.43/182.08 [269]~E(x2691,x2692)+E(f280(x2693,x2691,x2694),f280(x2693,x2692,x2694))
% 182.43/182.08 [270]~E(x2701,x2702)+E(f280(x2703,x2704,x2701),f280(x2703,x2704,x2702))
% 182.43/182.08 [271]~E(x2711,x2712)+E(f106(x2711),f106(x2712))
% 182.43/182.08 [272]~E(x2721,x2722)+E(f842(x2721,x2723,x2724),f842(x2722,x2723,x2724))
% 182.43/182.08 [273]~E(x2731,x2732)+E(f842(x2733,x2731,x2734),f842(x2733,x2732,x2734))
% 182.43/182.08 [274]~E(x2741,x2742)+E(f842(x2743,x2744,x2741),f842(x2743,x2744,x2742))
% 182.43/182.08 [275]~E(x2751,x2752)+E(f277(x2751,x2753),f277(x2752,x2753))
% 182.43/182.08 [276]~E(x2761,x2762)+E(f277(x2763,x2761),f277(x2763,x2762))
% 182.43/182.08 [277]~E(x2771,x2772)+E(f902(x2771,x2773),f902(x2772,x2773))
% 182.43/182.08 [278]~E(x2781,x2782)+E(f902(x2783,x2781),f902(x2783,x2782))
% 182.43/182.08 [279]~E(x2791,x2792)+E(f158(x2791),f158(x2792))
% 182.43/182.08 [280]~E(x2801,x2802)+E(f245(x2801,x2803),f245(x2802,x2803))
% 182.43/182.08 [281]~E(x2811,x2812)+E(f245(x2813,x2811),f245(x2813,x2812))
% 182.43/182.08 [282]~E(x2821,x2822)+E(f496(x2821,x2823,x2824,x2825),f496(x2822,x2823,x2824,x2825))
% 182.43/182.08 [283]~E(x2831,x2832)+E(f496(x2833,x2831,x2834,x2835),f496(x2833,x2832,x2834,x2835))
% 182.43/182.08 [284]~E(x2841,x2842)+E(f496(x2843,x2844,x2841,x2845),f496(x2843,x2844,x2842,x2845))
% 182.43/182.08 [285]~E(x2851,x2852)+E(f496(x2853,x2854,x2855,x2851),f496(x2853,x2854,x2855,x2852))
% 182.43/182.08 [286]~E(x2861,x2862)+E(f236(x2861,x2863,x2864),f236(x2862,x2863,x2864))
% 182.43/182.08 [287]~E(x2871,x2872)+E(f236(x2873,x2871,x2874),f236(x2873,x2872,x2874))
% 182.43/182.08 [288]~E(x2881,x2882)+E(f236(x2883,x2884,x2881),f236(x2883,x2884,x2882))
% 182.43/182.08 [289]~E(x2891,x2892)+E(f162(x2891),f162(x2892))
% 182.43/182.08 [290]~E(x2901,x2902)+E(f59(x2901,x2903,x2904),f59(x2902,x2903,x2904))
% 182.43/182.08 [291]~E(x2911,x2912)+E(f59(x2913,x2911,x2914),f59(x2913,x2912,x2914))
% 182.43/182.08 [292]~E(x2921,x2922)+E(f59(x2923,x2924,x2921),f59(x2923,x2924,x2922))
% 182.43/182.08 [293]~E(x2931,x2932)+E(f432(x2931,x2933,x2934),f432(x2932,x2933,x2934))
% 182.43/182.08 [294]~E(x2941,x2942)+E(f432(x2943,x2941,x2944),f432(x2943,x2942,x2944))
% 182.43/182.08 [295]~E(x2951,x2952)+E(f432(x2953,x2954,x2951),f432(x2953,x2954,x2952))
% 182.43/182.08 [296]~E(x2961,x2962)+E(f341(x2961,x2963,x2964),f341(x2962,x2963,x2964))
% 182.43/182.08 [297]~E(x2971,x2972)+E(f341(x2973,x2971,x2974),f341(x2973,x2972,x2974))
% 182.43/182.08 [298]~E(x2981,x2982)+E(f341(x2983,x2984,x2981),f341(x2983,x2984,x2982))
% 182.43/182.08 [299]~E(x2991,x2992)+E(f159(x2991),f159(x2992))
% 182.43/182.08 [300]~E(x3001,x3002)+E(f218(x3001,x3003),f218(x3002,x3003))
% 182.43/182.08 [301]~E(x3011,x3012)+E(f218(x3013,x3011),f218(x3013,x3012))
% 182.43/182.08 [302]~E(x3021,x3022)+E(f248(x3021,x3023,x3024),f248(x3022,x3023,x3024))
% 182.43/182.08 [303]~E(x3031,x3032)+E(f248(x3033,x3031,x3034),f248(x3033,x3032,x3034))
% 182.43/182.08 [304]~E(x3041,x3042)+E(f248(x3043,x3044,x3041),f248(x3043,x3044,x3042))
% 182.43/182.08 [305]~E(x3051,x3052)+E(f835(x3051,x3053,x3054),f835(x3052,x3053,x3054))
% 182.43/182.08 [306]~E(x3061,x3062)+E(f835(x3063,x3061,x3064),f835(x3063,x3062,x3064))
% 182.43/182.08 [307]~E(x3071,x3072)+E(f835(x3073,x3074,x3071),f835(x3073,x3074,x3072))
% 182.43/182.08 [308]~E(x3081,x3082)+E(f87(x3081),f87(x3082))
% 182.43/182.08 [309]~E(x3091,x3092)+E(f127(x3091,x3093),f127(x3092,x3093))
% 182.43/182.08 [310]~E(x3101,x3102)+E(f127(x3103,x3101),f127(x3103,x3102))
% 182.43/182.08 [311]~E(x3111,x3112)+E(f307(x3111,x3113),f307(x3112,x3113))
% 182.43/182.08 [312]~E(x3121,x3122)+E(f307(x3123,x3121),f307(x3123,x3122))
% 182.43/182.08 [313]~E(x3131,x3132)+E(f214(x3131,x3133,x3134,x3135,x3136),f214(x3132,x3133,x3134,x3135,x3136))
% 182.43/182.08 [314]~E(x3141,x3142)+E(f214(x3143,x3141,x3144,x3145,x3146),f214(x3143,x3142,x3144,x3145,x3146))
% 182.43/182.08 [315]~E(x3151,x3152)+E(f214(x3153,x3154,x3151,x3155,x3156),f214(x3153,x3154,x3152,x3155,x3156))
% 182.43/182.08 [316]~E(x3161,x3162)+E(f214(x3163,x3164,x3165,x3161,x3166),f214(x3163,x3164,x3165,x3162,x3166))
% 182.43/182.08 [317]~E(x3171,x3172)+E(f214(x3173,x3174,x3175,x3176,x3171),f214(x3173,x3174,x3175,x3176,x3172))
% 182.43/182.08 [318]~E(x3181,x3182)+E(f155(x3181),f155(x3182))
% 182.43/182.08 [319]~E(x3191,x3192)+E(f62(x3191,x3193,x3194),f62(x3192,x3193,x3194))
% 182.43/182.08 [320]~E(x3201,x3202)+E(f62(x3203,x3201,x3204),f62(x3203,x3202,x3204))
% 182.43/182.08 [321]~E(x3211,x3212)+E(f62(x3213,x3214,x3211),f62(x3213,x3214,x3212))
% 182.43/182.08 [322]~E(x3221,x3222)+E(f847(x3221,x3223,x3224),f847(x3222,x3223,x3224))
% 182.43/182.08 [323]~E(x3231,x3232)+E(f847(x3233,x3231,x3234),f847(x3233,x3232,x3234))
% 182.43/182.08 [324]~E(x3241,x3242)+E(f847(x3243,x3244,x3241),f847(x3243,x3244,x3242))
% 182.43/182.08 [325]~E(x3251,x3252)+E(f311(x3251,x3253),f311(x3252,x3253))
% 182.43/182.08 [326]~E(x3261,x3262)+E(f311(x3263,x3261),f311(x3263,x3262))
% 182.43/182.08 [327]~E(x3271,x3272)+E(f161(x3271,x3273,x3274),f161(x3272,x3273,x3274))
% 182.43/182.08 [328]~E(x3281,x3282)+E(f161(x3283,x3281,x3284),f161(x3283,x3282,x3284))
% 182.43/182.08 [329]~E(x3291,x3292)+E(f161(x3293,x3294,x3291),f161(x3293,x3294,x3292))
% 182.43/182.08 [330]~E(x3301,x3302)+E(f164(x3301,x3303,x3304),f164(x3302,x3303,x3304))
% 182.43/182.08 [331]~E(x3311,x3312)+E(f164(x3313,x3311,x3314),f164(x3313,x3312,x3314))
% 182.43/182.08 [332]~E(x3321,x3322)+E(f164(x3323,x3324,x3321),f164(x3323,x3324,x3322))
% 182.43/182.08 [333]~E(x3331,x3332)+E(f823(x3331,x3333,x3334,x3335,x3336,x3337,x3338,x3339),f823(x3332,x3333,x3334,x3335,x3336,x3337,x3338,x3339))
% 182.43/182.08 [334]~E(x3341,x3342)+E(f823(x3343,x3341,x3344,x3345,x3346,x3347,x3348,x3349),f823(x3343,x3342,x3344,x3345,x3346,x3347,x3348,x3349))
% 182.43/182.08 [335]~E(x3351,x3352)+E(f823(x3353,x3354,x3351,x3355,x3356,x3357,x3358,x3359),f823(x3353,x3354,x3352,x3355,x3356,x3357,x3358,x3359))
% 182.43/182.08 [336]~E(x3361,x3362)+E(f823(x3363,x3364,x3365,x3361,x3366,x3367,x3368,x3369),f823(x3363,x3364,x3365,x3362,x3366,x3367,x3368,x3369))
% 182.43/182.08 [337]~E(x3371,x3372)+E(f823(x3373,x3374,x3375,x3376,x3371,x3377,x3378,x3379),f823(x3373,x3374,x3375,x3376,x3372,x3377,x3378,x3379))
% 182.43/182.08 [338]~E(x3381,x3382)+E(f823(x3383,x3384,x3385,x3386,x3387,x3381,x3388,x3389),f823(x3383,x3384,x3385,x3386,x3387,x3382,x3388,x3389))
% 182.43/182.08 [339]~E(x3391,x3392)+E(f823(x3393,x3394,x3395,x3396,x3397,x3398,x3391,x3399),f823(x3393,x3394,x3395,x3396,x3397,x3398,x3392,x3399))
% 182.43/182.08 [340]~E(x3401,x3402)+E(f823(x3403,x3404,x3405,x3406,x3407,x3408,x3409,x3401),f823(x3403,x3404,x3405,x3406,x3407,x3408,x3409,x3402))
% 182.43/182.08 [341]~E(x3411,x3412)+E(f281(x3411,x3413,x3414,x3415),f281(x3412,x3413,x3414,x3415))
% 182.43/182.08 [342]~E(x3421,x3422)+E(f281(x3423,x3421,x3424,x3425),f281(x3423,x3422,x3424,x3425))
% 182.43/182.08 [343]~E(x3431,x3432)+E(f281(x3433,x3434,x3431,x3435),f281(x3433,x3434,x3432,x3435))
% 182.43/182.08 [344]~E(x3441,x3442)+E(f281(x3443,x3444,x3445,x3441),f281(x3443,x3444,x3445,x3442))
% 182.43/182.08 [345]~E(x3451,x3452)+E(f764(x3451,x3453,x3454,x3455),f764(x3452,x3453,x3454,x3455))
% 182.43/182.08 [346]~E(x3461,x3462)+E(f764(x3463,x3461,x3464,x3465),f764(x3463,x3462,x3464,x3465))
% 182.43/182.08 [347]~E(x3471,x3472)+E(f764(x3473,x3474,x3471,x3475),f764(x3473,x3474,x3472,x3475))
% 182.43/182.08 [348]~E(x3481,x3482)+E(f764(x3483,x3484,x3485,x3481),f764(x3483,x3484,x3485,x3482))
% 182.43/182.08 [349]~E(x3491,x3492)+E(f169(x3491,x3493),f169(x3492,x3493))
% 182.43/182.08 [350]~E(x3501,x3502)+E(f169(x3503,x3501),f169(x3503,x3502))
% 182.43/182.08 [351]~E(x3511,x3512)+E(f657(x3511,x3513,x3514),f657(x3512,x3513,x3514))
% 182.43/182.08 [352]~E(x3521,x3522)+E(f657(x3523,x3521,x3524),f657(x3523,x3522,x3524))
% 182.43/182.08 [353]~E(x3531,x3532)+E(f657(x3533,x3534,x3531),f657(x3533,x3534,x3532))
% 182.43/182.08 [354]~E(x3541,x3542)+E(f250(x3541,x3543,x3544,x3545),f250(x3542,x3543,x3544,x3545))
% 182.43/182.08 [355]~E(x3551,x3552)+E(f250(x3553,x3551,x3554,x3555),f250(x3553,x3552,x3554,x3555))
% 182.43/182.08 [356]~E(x3561,x3562)+E(f250(x3563,x3564,x3561,x3565),f250(x3563,x3564,x3562,x3565))
% 182.43/182.08 [357]~E(x3571,x3572)+E(f250(x3573,x3574,x3575,x3571),f250(x3573,x3574,x3575,x3572))
% 182.43/182.08 [358]~E(x3581,x3582)+E(f762(x3581,x3583,x3584,x3585),f762(x3582,x3583,x3584,x3585))
% 182.43/182.08 [359]~E(x3591,x3592)+E(f762(x3593,x3591,x3594,x3595),f762(x3593,x3592,x3594,x3595))
% 182.43/182.08 [360]~E(x3601,x3602)+E(f762(x3603,x3604,x3601,x3605),f762(x3603,x3604,x3602,x3605))
% 182.43/182.08 [361]~E(x3611,x3612)+E(f762(x3613,x3614,x3615,x3611),f762(x3613,x3614,x3615,x3612))
% 182.43/182.08 [362]~E(x3621,x3622)+E(f349(x3621,x3623),f349(x3622,x3623))
% 182.43/182.08 [363]~E(x3631,x3632)+E(f349(x3633,x3631),f349(x3633,x3632))
% 182.43/182.08 [364]~E(x3641,x3642)+E(f148(x3641,x3643),f148(x3642,x3643))
% 182.43/182.08 [365]~E(x3651,x3652)+E(f148(x3653,x3651),f148(x3653,x3652))
% 182.43/182.08 [366]~E(x3661,x3662)+E(f788(x3661,x3663,x3664,x3665,x3666,x3667,x3668),f788(x3662,x3663,x3664,x3665,x3666,x3667,x3668))
% 182.43/182.08 [367]~E(x3671,x3672)+E(f788(x3673,x3671,x3674,x3675,x3676,x3677,x3678),f788(x3673,x3672,x3674,x3675,x3676,x3677,x3678))
% 182.43/182.08 [368]~E(x3681,x3682)+E(f788(x3683,x3684,x3681,x3685,x3686,x3687,x3688),f788(x3683,x3684,x3682,x3685,x3686,x3687,x3688))
% 182.43/182.08 [369]~E(x3691,x3692)+E(f788(x3693,x3694,x3695,x3691,x3696,x3697,x3698),f788(x3693,x3694,x3695,x3692,x3696,x3697,x3698))
% 182.43/182.08 [370]~E(x3701,x3702)+E(f788(x3703,x3704,x3705,x3706,x3701,x3707,x3708),f788(x3703,x3704,x3705,x3706,x3702,x3707,x3708))
% 182.43/182.08 [371]~E(x3711,x3712)+E(f788(x3713,x3714,x3715,x3716,x3717,x3711,x3718),f788(x3713,x3714,x3715,x3716,x3717,x3712,x3718))
% 182.43/182.08 [372]~E(x3721,x3722)+E(f788(x3723,x3724,x3725,x3726,x3727,x3728,x3721),f788(x3723,x3724,x3725,x3726,x3727,x3728,x3722))
% 182.43/182.08 [373]~E(x3731,x3732)+E(f86(x3731,x3733,x3734,x3735),f86(x3732,x3733,x3734,x3735))
% 182.43/182.08 [374]~E(x3741,x3742)+E(f86(x3743,x3741,x3744,x3745),f86(x3743,x3742,x3744,x3745))
% 182.43/182.08 [375]~E(x3751,x3752)+E(f86(x3753,x3754,x3751,x3755),f86(x3753,x3754,x3752,x3755))
% 182.43/182.08 [376]~E(x3761,x3762)+E(f86(x3763,x3764,x3765,x3761),f86(x3763,x3764,x3765,x3762))
% 182.43/182.08 [377]~E(x3771,x3772)+E(f49(x3771,x3773),f49(x3772,x3773))
% 182.43/182.08 [378]~E(x3781,x3782)+E(f49(x3783,x3781),f49(x3783,x3782))
% 182.43/182.08 [379]~E(x3791,x3792)+E(f100(x3791),f100(x3792))
% 182.43/182.08 [380]~E(x3801,x3802)+E(f644(x3801,x3803,x3804,x3805,x3806,x3807,x3808),f644(x3802,x3803,x3804,x3805,x3806,x3807,x3808))
% 182.43/182.08 [381]~E(x3811,x3812)+E(f644(x3813,x3811,x3814,x3815,x3816,x3817,x3818),f644(x3813,x3812,x3814,x3815,x3816,x3817,x3818))
% 182.43/182.08 [382]~E(x3821,x3822)+E(f644(x3823,x3824,x3821,x3825,x3826,x3827,x3828),f644(x3823,x3824,x3822,x3825,x3826,x3827,x3828))
% 182.43/182.08 [383]~E(x3831,x3832)+E(f644(x3833,x3834,x3835,x3831,x3836,x3837,x3838),f644(x3833,x3834,x3835,x3832,x3836,x3837,x3838))
% 182.43/182.08 [384]~E(x3841,x3842)+E(f644(x3843,x3844,x3845,x3846,x3841,x3847,x3848),f644(x3843,x3844,x3845,x3846,x3842,x3847,x3848))
% 182.43/182.08 [385]~E(x3851,x3852)+E(f644(x3853,x3854,x3855,x3856,x3857,x3851,x3858),f644(x3853,x3854,x3855,x3856,x3857,x3852,x3858))
% 182.43/182.08 [386]~E(x3861,x3862)+E(f644(x3863,x3864,x3865,x3866,x3867,x3868,x3861),f644(x3863,x3864,x3865,x3866,x3867,x3868,x3862))
% 182.43/182.08 [387]~E(x3871,x3872)+E(f620(x3871,x3873,x3874,x3875),f620(x3872,x3873,x3874,x3875))
% 182.43/182.08 [388]~E(x3881,x3882)+E(f620(x3883,x3881,x3884,x3885),f620(x3883,x3882,x3884,x3885))
% 182.43/182.08 [389]~E(x3891,x3892)+E(f620(x3893,x3894,x3891,x3895),f620(x3893,x3894,x3892,x3895))
% 182.43/182.08 [390]~E(x3901,x3902)+E(f620(x3903,x3904,x3905,x3901),f620(x3903,x3904,x3905,x3902))
% 182.43/182.08 [391]~E(x3911,x3912)+E(f416(x3911,x3913,x3914),f416(x3912,x3913,x3914))
% 182.43/182.08 [392]~E(x3921,x3922)+E(f416(x3923,x3921,x3924),f416(x3923,x3922,x3924))
% 182.43/182.08 [393]~E(x3931,x3932)+E(f416(x3933,x3934,x3931),f416(x3933,x3934,x3932))
% 182.43/182.08 [394]~E(x3941,x3942)+E(f110(x3941),f110(x3942))
% 182.43/182.08 [395]~E(x3951,x3952)+E(f111(x3951,x3953),f111(x3952,x3953))
% 182.43/182.08 [396]~E(x3961,x3962)+E(f111(x3963,x3961),f111(x3963,x3962))
% 182.43/182.08 [397]~E(x3971,x3972)+E(f15(x3971,x3973),f15(x3972,x3973))
% 182.43/182.08 [398]~E(x3981,x3982)+E(f15(x3983,x3981),f15(x3983,x3982))
% 182.43/182.08 [399]~E(x3991,x3992)+E(f152(x3991,x3993),f152(x3992,x3993))
% 182.43/182.08 [400]~E(x4001,x4002)+E(f152(x4003,x4001),f152(x4003,x4002))
% 182.43/182.08 [401]~E(x4011,x4012)+E(f247(x4011,x4013),f247(x4012,x4013))
% 182.43/182.08 [402]~E(x4021,x4022)+E(f247(x4023,x4021),f247(x4023,x4022))
% 182.43/182.08 [403]~E(x4031,x4032)+E(f306(x4031,x4033),f306(x4032,x4033))
% 182.43/182.08 [404]~E(x4041,x4042)+E(f306(x4043,x4041),f306(x4043,x4042))
% 182.43/182.08 [405]~E(x4051,x4052)+E(f80(x4051,x4053),f80(x4052,x4053))
% 182.43/182.08 [406]~E(x4061,x4062)+E(f80(x4063,x4061),f80(x4063,x4062))
% 182.43/182.08 [407]~E(x4071,x4072)+E(f151(x4071,x4073),f151(x4072,x4073))
% 182.43/182.08 [408]~E(x4081,x4082)+E(f151(x4083,x4081),f151(x4083,x4082))
% 182.43/182.08 [409]~E(x4091,x4092)+E(f85(x4091,x4093),f85(x4092,x4093))
% 182.43/182.08 [410]~E(x4101,x4102)+E(f85(x4103,x4101),f85(x4103,x4102))
% 182.43/182.08 [411]~E(x4111,x4112)+E(f77(x4111,x4113),f77(x4112,x4113))
% 182.43/182.08 [412]~E(x4121,x4122)+E(f77(x4123,x4121),f77(x4123,x4122))
% 182.43/182.08 [413]~E(x4131,x4132)+E(f144(x4131,x4133),f144(x4132,x4133))
% 182.43/182.08 [414]~E(x4141,x4142)+E(f144(x4143,x4141),f144(x4143,x4142))
% 182.43/182.08 [415]~E(x4151,x4152)+E(f869(x4151,x4153,x4154),f869(x4152,x4153,x4154))
% 182.43/182.08 [416]~E(x4161,x4162)+E(f869(x4163,x4161,x4164),f869(x4163,x4162,x4164))
% 182.43/182.08 [417]~E(x4171,x4172)+E(f869(x4173,x4174,x4171),f869(x4173,x4174,x4172))
% 182.43/182.08 [418]~E(x4181,x4182)+E(f9(x4181,x4183),f9(x4182,x4183))
% 182.43/182.08 [419]~E(x4191,x4192)+E(f9(x4193,x4191),f9(x4193,x4192))
% 182.43/182.08 [420]~E(x4201,x4202)+E(f176(x4201,x4203,x4204,x4205),f176(x4202,x4203,x4204,x4205))
% 182.43/182.08 [421]~E(x4211,x4212)+E(f176(x4213,x4211,x4214,x4215),f176(x4213,x4212,x4214,x4215))
% 182.43/182.08 [422]~E(x4221,x4222)+E(f176(x4223,x4224,x4221,x4225),f176(x4223,x4224,x4222,x4225))
% 182.43/182.08 [423]~E(x4231,x4232)+E(f176(x4233,x4234,x4235,x4231),f176(x4233,x4234,x4235,x4232))
% 182.43/182.08 [424]~E(x4241,x4242)+E(f58(x4241,x4243,x4244),f58(x4242,x4243,x4244))
% 182.43/182.08 [425]~E(x4251,x4252)+E(f58(x4253,x4251,x4254),f58(x4253,x4252,x4254))
% 182.43/182.08 [426]~E(x4261,x4262)+E(f58(x4263,x4264,x4261),f58(x4263,x4264,x4262))
% 182.43/182.08 [427]~E(x4271,x4272)+E(f409(x4271,x4273,x4274,x4275,x4276),f409(x4272,x4273,x4274,x4275,x4276))
% 182.43/182.08 [428]~E(x4281,x4282)+E(f409(x4283,x4281,x4284,x4285,x4286),f409(x4283,x4282,x4284,x4285,x4286))
% 182.43/182.08 [429]~E(x4291,x4292)+E(f409(x4293,x4294,x4291,x4295,x4296),f409(x4293,x4294,x4292,x4295,x4296))
% 182.43/182.08 [430]~E(x4301,x4302)+E(f409(x4303,x4304,x4305,x4301,x4306),f409(x4303,x4304,x4305,x4302,x4306))
% 182.43/182.08 [431]~E(x4311,x4312)+E(f409(x4313,x4314,x4315,x4316,x4311),f409(x4313,x4314,x4315,x4316,x4312))
% 182.43/182.08 [432]~E(x4321,x4322)+E(f11(x4321,x4323,x4324),f11(x4322,x4323,x4324))
% 182.43/182.08 [433]~E(x4331,x4332)+E(f11(x4333,x4331,x4334),f11(x4333,x4332,x4334))
% 182.43/182.08 [434]~E(x4341,x4342)+E(f11(x4343,x4344,x4341),f11(x4343,x4344,x4342))
% 182.43/182.08 [435]~E(x4351,x4352)+E(f447(x4351,x4353,x4354,x4355,x4356),f447(x4352,x4353,x4354,x4355,x4356))
% 182.43/182.08 [436]~E(x4361,x4362)+E(f447(x4363,x4361,x4364,x4365,x4366),f447(x4363,x4362,x4364,x4365,x4366))
% 182.43/182.08 [437]~E(x4371,x4372)+E(f447(x4373,x4374,x4371,x4375,x4376),f447(x4373,x4374,x4372,x4375,x4376))
% 182.43/182.08 [438]~E(x4381,x4382)+E(f447(x4383,x4384,x4385,x4381,x4386),f447(x4383,x4384,x4385,x4382,x4386))
% 182.43/182.08 [439]~E(x4391,x4392)+E(f447(x4393,x4394,x4395,x4396,x4391),f447(x4393,x4394,x4395,x4396,x4392))
% 182.43/182.08 [440]~E(x4401,x4402)+E(f136(x4401,x4403),f136(x4402,x4403))
% 182.43/182.08 [441]~E(x4411,x4412)+E(f136(x4413,x4411),f136(x4413,x4412))
% 182.43/182.08 [442]~E(x4421,x4422)+E(f434(x4421,x4423,x4424,x4425,x4426),f434(x4422,x4423,x4424,x4425,x4426))
% 182.43/182.08 [443]~E(x4431,x4432)+E(f434(x4433,x4431,x4434,x4435,x4436),f434(x4433,x4432,x4434,x4435,x4436))
% 182.43/182.08 [444]~E(x4441,x4442)+E(f434(x4443,x4444,x4441,x4445,x4446),f434(x4443,x4444,x4442,x4445,x4446))
% 182.43/182.08 [445]~E(x4451,x4452)+E(f434(x4453,x4454,x4455,x4451,x4456),f434(x4453,x4454,x4455,x4452,x4456))
% 182.43/182.08 [446]~E(x4461,x4462)+E(f434(x4463,x4464,x4465,x4466,x4461),f434(x4463,x4464,x4465,x4466,x4462))
% 182.43/182.08 [447]~E(x4471,x4472)+E(f82(x4471),f82(x4472))
% 182.43/182.08 [448]~E(x4481,x4482)+E(f359(x4481),f359(x4482))
% 182.43/182.08 [449]~E(x4491,x4492)+E(f406(x4491,x4493,x4494),f406(x4492,x4493,x4494))
% 182.43/182.08 [450]~E(x4501,x4502)+E(f406(x4503,x4501,x4504),f406(x4503,x4502,x4504))
% 182.43/182.08 [451]~E(x4511,x4512)+E(f406(x4513,x4514,x4511),f406(x4513,x4514,x4512))
% 182.43/182.08 [452]~E(x4521,x4522)+E(f285(x4521,x4523,x4524),f285(x4522,x4523,x4524))
% 182.43/182.08 [453]~E(x4531,x4532)+E(f285(x4533,x4531,x4534),f285(x4533,x4532,x4534))
% 182.43/182.08 [454]~E(x4541,x4542)+E(f285(x4543,x4544,x4541),f285(x4543,x4544,x4542))
% 182.43/182.08 [455]~E(x4551,x4552)+E(f891(x4551,x4553,x4554,x4555),f891(x4552,x4553,x4554,x4555))
% 182.43/182.08 [456]~E(x4561,x4562)+E(f891(x4563,x4561,x4564,x4565),f891(x4563,x4562,x4564,x4565))
% 182.43/182.08 [457]~E(x4571,x4572)+E(f891(x4573,x4574,x4571,x4575),f891(x4573,x4574,x4572,x4575))
% 182.43/182.08 [458]~E(x4581,x4582)+E(f891(x4583,x4584,x4585,x4581),f891(x4583,x4584,x4585,x4582))
% 182.43/182.08 [459]~E(x4591,x4592)+E(f156(x4591),f156(x4592))
% 182.43/182.08 [460]~E(x4601,x4602)+E(f387(x4601,x4603,x4604),f387(x4602,x4603,x4604))
% 182.43/182.08 [461]~E(x4611,x4612)+E(f387(x4613,x4611,x4614),f387(x4613,x4612,x4614))
% 182.43/182.08 [462]~E(x4621,x4622)+E(f387(x4623,x4624,x4621),f387(x4623,x4624,x4622))
% 182.43/182.08 [463]~E(x4631,x4632)+E(f766(x4631,x4633,x4634,x4635,x4636,x4637,x4638),f766(x4632,x4633,x4634,x4635,x4636,x4637,x4638))
% 182.43/182.08 [464]~E(x4641,x4642)+E(f766(x4643,x4641,x4644,x4645,x4646,x4647,x4648),f766(x4643,x4642,x4644,x4645,x4646,x4647,x4648))
% 182.43/182.08 [465]~E(x4651,x4652)+E(f766(x4653,x4654,x4651,x4655,x4656,x4657,x4658),f766(x4653,x4654,x4652,x4655,x4656,x4657,x4658))
% 182.43/182.08 [466]~E(x4661,x4662)+E(f766(x4663,x4664,x4665,x4661,x4666,x4667,x4668),f766(x4663,x4664,x4665,x4662,x4666,x4667,x4668))
% 182.43/182.08 [467]~E(x4671,x4672)+E(f766(x4673,x4674,x4675,x4676,x4671,x4677,x4678),f766(x4673,x4674,x4675,x4676,x4672,x4677,x4678))
% 182.43/182.08 [468]~E(x4681,x4682)+E(f766(x4683,x4684,x4685,x4686,x4687,x4681,x4688),f766(x4683,x4684,x4685,x4686,x4687,x4682,x4688))
% 182.43/182.08 [469]~E(x4691,x4692)+E(f766(x4693,x4694,x4695,x4696,x4697,x4698,x4691),f766(x4693,x4694,x4695,x4696,x4697,x4698,x4692))
% 182.43/182.08 [470]~E(x4701,x4702)+E(f778(x4701,x4703,x4704,x4705),f778(x4702,x4703,x4704,x4705))
% 182.43/182.08 [471]~E(x4711,x4712)+E(f778(x4713,x4711,x4714,x4715),f778(x4713,x4712,x4714,x4715))
% 182.43/182.08 [472]~E(x4721,x4722)+E(f778(x4723,x4724,x4721,x4725),f778(x4723,x4724,x4722,x4725))
% 182.43/182.08 [473]~E(x4731,x4732)+E(f778(x4733,x4734,x4735,x4731),f778(x4733,x4734,x4735,x4732))
% 182.43/182.08 [474]~E(x4741,x4742)+E(f705(x4741,x4743),f705(x4742,x4743))
% 182.43/182.08 [475]~E(x4751,x4752)+E(f705(x4753,x4751),f705(x4753,x4752))
% 182.43/182.08 [476]~E(x4761,x4762)+E(f109(x4761,x4763,x4764),f109(x4762,x4763,x4764))
% 182.43/182.08 [477]~E(x4771,x4772)+E(f109(x4773,x4771,x4774),f109(x4773,x4772,x4774))
% 182.43/182.08 [478]~E(x4781,x4782)+E(f109(x4783,x4784,x4781),f109(x4783,x4784,x4782))
% 182.43/182.08 [479]~E(x4791,x4792)+E(f746(x4791,x4793,x4794),f746(x4792,x4793,x4794))
% 182.43/182.08 [480]~E(x4801,x4802)+E(f746(x4803,x4801,x4804),f746(x4803,x4802,x4804))
% 182.43/182.08 [481]~E(x4811,x4812)+E(f746(x4813,x4814,x4811),f746(x4813,x4814,x4812))
% 182.43/182.08 [482]~E(x4821,x4822)+E(f107(x4821,x4823,x4824),f107(x4822,x4823,x4824))
% 182.43/182.08 [483]~E(x4831,x4832)+E(f107(x4833,x4831,x4834),f107(x4833,x4832,x4834))
% 182.43/182.08 [484]~E(x4841,x4842)+E(f107(x4843,x4844,x4841),f107(x4843,x4844,x4842))
% 182.43/182.08 [485]~E(x4851,x4852)+E(f759(x4851,x4853,x4854),f759(x4852,x4853,x4854))
% 182.43/182.08 [486]~E(x4861,x4862)+E(f759(x4863,x4861,x4864),f759(x4863,x4862,x4864))
% 182.43/182.08 [487]~E(x4871,x4872)+E(f759(x4873,x4874,x4871),f759(x4873,x4874,x4872))
% 182.43/182.08 [488]~E(x4881,x4882)+E(f299(x4881),f299(x4882))
% 182.43/182.08 [489]~E(x4891,x4892)+E(f476(x4891,x4893,x4894,x4895,x4896,x4897,x4898),f476(x4892,x4893,x4894,x4895,x4896,x4897,x4898))
% 182.43/182.08 [490]~E(x4901,x4902)+E(f476(x4903,x4901,x4904,x4905,x4906,x4907,x4908),f476(x4903,x4902,x4904,x4905,x4906,x4907,x4908))
% 182.43/182.08 [491]~E(x4911,x4912)+E(f476(x4913,x4914,x4911,x4915,x4916,x4917,x4918),f476(x4913,x4914,x4912,x4915,x4916,x4917,x4918))
% 182.43/182.08 [492]~E(x4921,x4922)+E(f476(x4923,x4924,x4925,x4921,x4926,x4927,x4928),f476(x4923,x4924,x4925,x4922,x4926,x4927,x4928))
% 182.43/182.08 [493]~E(x4931,x4932)+E(f476(x4933,x4934,x4935,x4936,x4931,x4937,x4938),f476(x4933,x4934,x4935,x4936,x4932,x4937,x4938))
% 182.43/182.08 [494]~E(x4941,x4942)+E(f476(x4943,x4944,x4945,x4946,x4947,x4941,x4948),f476(x4943,x4944,x4945,x4946,x4947,x4942,x4948))
% 182.43/182.08 [495]~E(x4951,x4952)+E(f476(x4953,x4954,x4955,x4956,x4957,x4958,x4951),f476(x4953,x4954,x4955,x4956,x4957,x4958,x4952))
% 182.43/182.08 [496]~E(x4961,x4962)+E(f170(x4961,x4963),f170(x4962,x4963))
% 182.43/182.08 [497]~E(x4971,x4972)+E(f170(x4973,x4971),f170(x4973,x4972))
% 182.43/182.08 [498]~E(x4981,x4982)+E(f296(x4981,x4983,x4984),f296(x4982,x4983,x4984))
% 182.43/182.08 [499]~E(x4991,x4992)+E(f296(x4993,x4991,x4994),f296(x4993,x4992,x4994))
% 182.43/182.08 [500]~E(x5001,x5002)+E(f296(x5003,x5004,x5001),f296(x5003,x5004,x5002))
% 182.43/182.08 [501]~E(x5011,x5012)+E(f695(x5011,x5013,x5014),f695(x5012,x5013,x5014))
% 182.43/182.08 [502]~E(x5021,x5022)+E(f695(x5023,x5021,x5024),f695(x5023,x5022,x5024))
% 182.43/182.08 [503]~E(x5031,x5032)+E(f695(x5033,x5034,x5031),f695(x5033,x5034,x5032))
% 182.43/182.08 [504]~E(x5041,x5042)+E(f135(x5041,x5043),f135(x5042,x5043))
% 182.43/182.08 [505]~E(x5051,x5052)+E(f135(x5053,x5051),f135(x5053,x5052))
% 182.43/182.08 [506]~E(x5061,x5062)+E(f305(x5061),f305(x5062))
% 182.43/182.08 [507]~E(x5071,x5072)+E(f547(x5071,x5073,x5074),f547(x5072,x5073,x5074))
% 182.43/182.08 [508]~E(x5081,x5082)+E(f547(x5083,x5081,x5084),f547(x5083,x5082,x5084))
% 182.43/182.08 [509]~E(x5091,x5092)+E(f547(x5093,x5094,x5091),f547(x5093,x5094,x5092))
% 182.43/182.08 [510]~E(x5101,x5102)+E(f393(x5101,x5103),f393(x5102,x5103))
% 182.43/182.08 [511]~E(x5111,x5112)+E(f393(x5113,x5111),f393(x5113,x5112))
% 182.43/182.08 [512]~E(x5121,x5122)+E(f13(x5121,x5123),f13(x5122,x5123))
% 182.43/182.08 [513]~E(x5131,x5132)+E(f13(x5133,x5131),f13(x5133,x5132))
% 182.43/182.08 [514]~E(x5141,x5142)+E(f425(x5141,x5143,x5144,x5145,x5146,x5147,x5148),f425(x5142,x5143,x5144,x5145,x5146,x5147,x5148))
% 182.43/182.08 [515]~E(x5151,x5152)+E(f425(x5153,x5151,x5154,x5155,x5156,x5157,x5158),f425(x5153,x5152,x5154,x5155,x5156,x5157,x5158))
% 182.43/182.08 [516]~E(x5161,x5162)+E(f425(x5163,x5164,x5161,x5165,x5166,x5167,x5168),f425(x5163,x5164,x5162,x5165,x5166,x5167,x5168))
% 182.43/182.08 [517]~E(x5171,x5172)+E(f425(x5173,x5174,x5175,x5171,x5176,x5177,x5178),f425(x5173,x5174,x5175,x5172,x5176,x5177,x5178))
% 182.43/182.08 [518]~E(x5181,x5182)+E(f425(x5183,x5184,x5185,x5186,x5181,x5187,x5188),f425(x5183,x5184,x5185,x5186,x5182,x5187,x5188))
% 182.43/182.08 [519]~E(x5191,x5192)+E(f425(x5193,x5194,x5195,x5196,x5197,x5191,x5198),f425(x5193,x5194,x5195,x5196,x5197,x5192,x5198))
% 182.43/182.08 [520]~E(x5201,x5202)+E(f425(x5203,x5204,x5205,x5206,x5207,x5208,x5201),f425(x5203,x5204,x5205,x5206,x5207,x5208,x5202))
% 182.43/182.08 [521]~E(x5211,x5212)+E(f83(x5211),f83(x5212))
% 182.43/182.08 [522]~E(x5221,x5222)+E(f269(x5221),f269(x5222))
% 182.43/182.08 [523]~E(x5231,x5232)+E(f715(x5231,x5233,x5234,x5235),f715(x5232,x5233,x5234,x5235))
% 182.43/182.08 [524]~E(x5241,x5242)+E(f715(x5243,x5241,x5244,x5245),f715(x5243,x5242,x5244,x5245))
% 182.43/182.08 [525]~E(x5251,x5252)+E(f715(x5253,x5254,x5251,x5255),f715(x5253,x5254,x5252,x5255))
% 182.43/182.08 [526]~E(x5261,x5262)+E(f715(x5263,x5264,x5265,x5261),f715(x5263,x5264,x5265,x5262))
% 182.43/182.08 [527]~E(x5271,x5272)+E(f849(x5271,x5273,x5274),f849(x5272,x5273,x5274))
% 182.43/182.08 [528]~E(x5281,x5282)+E(f849(x5283,x5281,x5284),f849(x5283,x5282,x5284))
% 182.43/182.08 [529]~E(x5291,x5292)+E(f849(x5293,x5294,x5291),f849(x5293,x5294,x5292))
% 182.43/182.08 [530]~E(x5301,x5302)+E(f42(x5301,x5303),f42(x5302,x5303))
% 182.43/182.08 [531]~E(x5311,x5312)+E(f42(x5313,x5311),f42(x5313,x5312))
% 182.43/182.08 [532]~E(x5321,x5322)+E(f38(x5321),f38(x5322))
% 182.43/182.08 [533]~E(x5331,x5332)+E(f879(x5331,x5333),f879(x5332,x5333))
% 182.43/182.08 [534]~E(x5341,x5342)+E(f879(x5343,x5341),f879(x5343,x5342))
% 182.43/182.08 [535]~E(x5351,x5352)+E(f662(x5351,x5353,x5354,x5355,x5356),f662(x5352,x5353,x5354,x5355,x5356))
% 182.43/182.08 [536]~E(x5361,x5362)+E(f662(x5363,x5361,x5364,x5365,x5366),f662(x5363,x5362,x5364,x5365,x5366))
% 182.43/182.08 [537]~E(x5371,x5372)+E(f662(x5373,x5374,x5371,x5375,x5376),f662(x5373,x5374,x5372,x5375,x5376))
% 182.43/182.08 [538]~E(x5381,x5382)+E(f662(x5383,x5384,x5385,x5381,x5386),f662(x5383,x5384,x5385,x5382,x5386))
% 182.43/182.08 [539]~E(x5391,x5392)+E(f662(x5393,x5394,x5395,x5396,x5391),f662(x5393,x5394,x5395,x5396,x5392))
% 182.43/182.08 [540]~E(x5401,x5402)+E(f167(x5401,x5403,x5404),f167(x5402,x5403,x5404))
% 182.43/182.08 [541]~E(x5411,x5412)+E(f167(x5413,x5411,x5414),f167(x5413,x5412,x5414))
% 182.43/182.08 [542]~E(x5421,x5422)+E(f167(x5423,x5424,x5421),f167(x5423,x5424,x5422))
% 182.43/182.08 [543]~E(x5431,x5432)+E(f274(x5431),f274(x5432))
% 182.43/182.08 [544]~E(x5441,x5442)+E(f580(x5441,x5443,x5444,x5445,x5446),f580(x5442,x5443,x5444,x5445,x5446))
% 182.43/182.08 [545]~E(x5451,x5452)+E(f580(x5453,x5451,x5454,x5455,x5456),f580(x5453,x5452,x5454,x5455,x5456))
% 182.43/182.08 [546]~E(x5461,x5462)+E(f580(x5463,x5464,x5461,x5465,x5466),f580(x5463,x5464,x5462,x5465,x5466))
% 182.43/182.08 [547]~E(x5471,x5472)+E(f580(x5473,x5474,x5475,x5471,x5476),f580(x5473,x5474,x5475,x5472,x5476))
% 182.43/182.08 [548]~E(x5481,x5482)+E(f580(x5483,x5484,x5485,x5486,x5481),f580(x5483,x5484,x5485,x5486,x5482))
% 182.43/182.08 [549]~E(x5491,x5492)+E(f765(x5491,x5493,x5494,x5495,x5496,x5497,x5498),f765(x5492,x5493,x5494,x5495,x5496,x5497,x5498))
% 182.43/182.08 [550]~E(x5501,x5502)+E(f765(x5503,x5501,x5504,x5505,x5506,x5507,x5508),f765(x5503,x5502,x5504,x5505,x5506,x5507,x5508))
% 182.43/182.08 [551]~E(x5511,x5512)+E(f765(x5513,x5514,x5511,x5515,x5516,x5517,x5518),f765(x5513,x5514,x5512,x5515,x5516,x5517,x5518))
% 182.43/182.08 [552]~E(x5521,x5522)+E(f765(x5523,x5524,x5525,x5521,x5526,x5527,x5528),f765(x5523,x5524,x5525,x5522,x5526,x5527,x5528))
% 182.43/182.08 [553]~E(x5531,x5532)+E(f765(x5533,x5534,x5535,x5536,x5531,x5537,x5538),f765(x5533,x5534,x5535,x5536,x5532,x5537,x5538))
% 182.43/182.08 [554]~E(x5541,x5542)+E(f765(x5543,x5544,x5545,x5546,x5547,x5541,x5548),f765(x5543,x5544,x5545,x5546,x5547,x5542,x5548))
% 182.43/182.08 [555]~E(x5551,x5552)+E(f765(x5553,x5554,x5555,x5556,x5557,x5558,x5551),f765(x5553,x5554,x5555,x5556,x5557,x5558,x5552))
% 182.43/182.08 [556]~E(x5561,x5562)+E(f133(x5561,x5563,x5564,x5565),f133(x5562,x5563,x5564,x5565))
% 182.43/182.08 [557]~E(x5571,x5572)+E(f133(x5573,x5571,x5574,x5575),f133(x5573,x5572,x5574,x5575))
% 182.43/182.08 [558]~E(x5581,x5582)+E(f133(x5583,x5584,x5581,x5585),f133(x5583,x5584,x5582,x5585))
% 182.43/182.08 [559]~E(x5591,x5592)+E(f133(x5593,x5594,x5595,x5591),f133(x5593,x5594,x5595,x5592))
% 182.43/182.08 [560]~E(x5601,x5602)+E(f663(x5601,x5603,x5604,x5605,x5606),f663(x5602,x5603,x5604,x5605,x5606))
% 182.43/182.08 [561]~E(x5611,x5612)+E(f663(x5613,x5611,x5614,x5615,x5616),f663(x5613,x5612,x5614,x5615,x5616))
% 182.43/182.08 [562]~E(x5621,x5622)+E(f663(x5623,x5624,x5621,x5625,x5626),f663(x5623,x5624,x5622,x5625,x5626))
% 182.43/182.08 [563]~E(x5631,x5632)+E(f663(x5633,x5634,x5635,x5631,x5636),f663(x5633,x5634,x5635,x5632,x5636))
% 182.43/182.08 [564]~E(x5641,x5642)+E(f663(x5643,x5644,x5645,x5646,x5641),f663(x5643,x5644,x5645,x5646,x5642))
% 182.43/182.08 [565]~E(x5651,x5652)+E(f289(x5651,x5653,x5654),f289(x5652,x5653,x5654))
% 182.43/182.08 [566]~E(x5661,x5662)+E(f289(x5663,x5661,x5664),f289(x5663,x5662,x5664))
% 182.43/182.08 [567]~E(x5671,x5672)+E(f289(x5673,x5674,x5671),f289(x5673,x5674,x5672))
% 182.43/182.08 [568]~E(x5681,x5682)+E(f629(x5681,x5683,x5684,x5685,x5686),f629(x5682,x5683,x5684,x5685,x5686))
% 182.43/182.08 [569]~E(x5691,x5692)+E(f629(x5693,x5691,x5694,x5695,x5696),f629(x5693,x5692,x5694,x5695,x5696))
% 182.43/182.08 [570]~E(x5701,x5702)+E(f629(x5703,x5704,x5701,x5705,x5706),f629(x5703,x5704,x5702,x5705,x5706))
% 182.43/182.08 [571]~E(x5711,x5712)+E(f629(x5713,x5714,x5715,x5711,x5716),f629(x5713,x5714,x5715,x5712,x5716))
% 182.43/182.08 [572]~E(x5721,x5722)+E(f629(x5723,x5724,x5725,x5726,x5721),f629(x5723,x5724,x5725,x5726,x5722))
% 182.43/182.08 [573]~E(x5731,x5732)+E(f483(x5731,x5733,x5734,x5735,x5736),f483(x5732,x5733,x5734,x5735,x5736))
% 182.43/182.08 [574]~E(x5741,x5742)+E(f483(x5743,x5741,x5744,x5745,x5746),f483(x5743,x5742,x5744,x5745,x5746))
% 182.43/182.08 [575]~E(x5751,x5752)+E(f483(x5753,x5754,x5751,x5755,x5756),f483(x5753,x5754,x5752,x5755,x5756))
% 182.43/182.08 [576]~E(x5761,x5762)+E(f483(x5763,x5764,x5765,x5761,x5766),f483(x5763,x5764,x5765,x5762,x5766))
% 182.43/182.08 [577]~E(x5771,x5772)+E(f483(x5773,x5774,x5775,x5776,x5771),f483(x5773,x5774,x5775,x5776,x5772))
% 182.43/182.08 [578]~E(x5781,x5782)+E(f147(x5781,x5783,x5784,x5785),f147(x5782,x5783,x5784,x5785))
% 182.43/182.08 [579]~E(x5791,x5792)+E(f147(x5793,x5791,x5794,x5795),f147(x5793,x5792,x5794,x5795))
% 182.43/182.08 [580]~E(x5801,x5802)+E(f147(x5803,x5804,x5801,x5805),f147(x5803,x5804,x5802,x5805))
% 182.43/182.08 [581]~E(x5811,x5812)+E(f147(x5813,x5814,x5815,x5811),f147(x5813,x5814,x5815,x5812))
% 182.43/182.08 [582]~E(x5821,x5822)+E(f328(x5821,x5823),f328(x5822,x5823))
% 182.43/182.08 [583]~E(x5831,x5832)+E(f328(x5833,x5831),f328(x5833,x5832))
% 182.43/182.08 [584]~E(x5841,x5842)+E(f593(x5841,x5843,x5844,x5845,x5846,x5847,x5848),f593(x5842,x5843,x5844,x5845,x5846,x5847,x5848))
% 182.43/182.08 [585]~E(x5851,x5852)+E(f593(x5853,x5851,x5854,x5855,x5856,x5857,x5858),f593(x5853,x5852,x5854,x5855,x5856,x5857,x5858))
% 182.43/182.08 [586]~E(x5861,x5862)+E(f593(x5863,x5864,x5861,x5865,x5866,x5867,x5868),f593(x5863,x5864,x5862,x5865,x5866,x5867,x5868))
% 182.43/182.08 [587]~E(x5871,x5872)+E(f593(x5873,x5874,x5875,x5871,x5876,x5877,x5878),f593(x5873,x5874,x5875,x5872,x5876,x5877,x5878))
% 182.43/182.08 [588]~E(x5881,x5882)+E(f593(x5883,x5884,x5885,x5886,x5881,x5887,x5888),f593(x5883,x5884,x5885,x5886,x5882,x5887,x5888))
% 182.43/182.08 [589]~E(x5891,x5892)+E(f593(x5893,x5894,x5895,x5896,x5897,x5891,x5898),f593(x5893,x5894,x5895,x5896,x5897,x5892,x5898))
% 182.43/182.08 [590]~E(x5901,x5902)+E(f593(x5903,x5904,x5905,x5906,x5907,x5908,x5901),f593(x5903,x5904,x5905,x5906,x5907,x5908,x5902))
% 182.43/182.08 [591]~E(x5911,x5912)+E(f149(x5911,x5913),f149(x5912,x5913))
% 182.43/182.08 [592]~E(x5921,x5922)+E(f149(x5923,x5921),f149(x5923,x5922))
% 182.43/182.08 [593]~E(x5931,x5932)+E(f304(x5931,x5933,x5934,x5935),f304(x5932,x5933,x5934,x5935))
% 182.43/182.08 [594]~E(x5941,x5942)+E(f304(x5943,x5941,x5944,x5945),f304(x5943,x5942,x5944,x5945))
% 182.43/182.08 [595]~E(x5951,x5952)+E(f304(x5953,x5954,x5951,x5955),f304(x5953,x5954,x5952,x5955))
% 182.43/182.08 [596]~E(x5961,x5962)+E(f304(x5963,x5964,x5965,x5961),f304(x5963,x5964,x5965,x5962))
% 182.43/182.08 [597]~E(x5971,x5972)+E(f256(x5971,x5973,x5974),f256(x5972,x5973,x5974))
% 182.43/182.08 [598]~E(x5981,x5982)+E(f256(x5983,x5981,x5984),f256(x5983,x5982,x5984))
% 182.43/182.08 [599]~E(x5991,x5992)+E(f256(x5993,x5994,x5991),f256(x5993,x5994,x5992))
% 182.43/182.08 [600]~E(x6001,x6002)+E(f116(x6001,x6003),f116(x6002,x6003))
% 182.43/182.08 [601]~E(x6011,x6012)+E(f116(x6013,x6011),f116(x6013,x6012))
% 182.43/182.08 [602]~E(x6021,x6022)+E(f724(x6021,x6023,x6024,x6025,x6026),f724(x6022,x6023,x6024,x6025,x6026))
% 182.43/182.08 [603]~E(x6031,x6032)+E(f724(x6033,x6031,x6034,x6035,x6036),f724(x6033,x6032,x6034,x6035,x6036))
% 182.43/182.08 [604]~E(x6041,x6042)+E(f724(x6043,x6044,x6041,x6045,x6046),f724(x6043,x6044,x6042,x6045,x6046))
% 182.43/182.08 [605]~E(x6051,x6052)+E(f724(x6053,x6054,x6055,x6051,x6056),f724(x6053,x6054,x6055,x6052,x6056))
% 182.43/182.08 [606]~E(x6061,x6062)+E(f724(x6063,x6064,x6065,x6066,x6061),f724(x6063,x6064,x6065,x6066,x6062))
% 182.43/182.08 [607]~E(x6071,x6072)+E(f418(x6071,x6073),f418(x6072,x6073))
% 182.43/182.08 [608]~E(x6081,x6082)+E(f418(x6083,x6081),f418(x6083,x6082))
% 182.43/182.08 [609]~E(x6091,x6092)+E(f752(x6091,x6093,x6094),f752(x6092,x6093,x6094))
% 182.43/182.08 [610]~E(x6101,x6102)+E(f752(x6103,x6101,x6104),f752(x6103,x6102,x6104))
% 182.43/182.08 [611]~E(x6111,x6112)+E(f752(x6113,x6114,x6111),f752(x6113,x6114,x6112))
% 182.43/182.08 [612]~E(x6121,x6122)+E(f510(x6121,x6123,x6124,x6125,x6126),f510(x6122,x6123,x6124,x6125,x6126))
% 182.43/182.08 [613]~E(x6131,x6132)+E(f510(x6133,x6131,x6134,x6135,x6136),f510(x6133,x6132,x6134,x6135,x6136))
% 182.43/182.08 [614]~E(x6141,x6142)+E(f510(x6143,x6144,x6141,x6145,x6146),f510(x6143,x6144,x6142,x6145,x6146))
% 182.43/182.08 [615]~E(x6151,x6152)+E(f510(x6153,x6154,x6155,x6151,x6156),f510(x6153,x6154,x6155,x6152,x6156))
% 182.43/182.08 [616]~E(x6161,x6162)+E(f510(x6163,x6164,x6165,x6166,x6161),f510(x6163,x6164,x6165,x6166,x6162))
% 182.43/182.08 [617]~E(x6171,x6172)+E(f292(x6171),f292(x6172))
% 182.43/182.08 [618]~E(x6181,x6182)+E(f244(x6181,x6183,x6184,x6185,x6186),f244(x6182,x6183,x6184,x6185,x6186))
% 182.43/182.08 [619]~E(x6191,x6192)+E(f244(x6193,x6191,x6194,x6195,x6196),f244(x6193,x6192,x6194,x6195,x6196))
% 182.43/182.08 [620]~E(x6201,x6202)+E(f244(x6203,x6204,x6201,x6205,x6206),f244(x6203,x6204,x6202,x6205,x6206))
% 182.43/182.08 [621]~E(x6211,x6212)+E(f244(x6213,x6214,x6215,x6211,x6216),f244(x6213,x6214,x6215,x6212,x6216))
% 182.43/182.08 [622]~E(x6221,x6222)+E(f244(x6223,x6224,x6225,x6226,x6221),f244(x6223,x6224,x6225,x6226,x6222))
% 182.43/182.08 [623]~E(x6231,x6232)+E(f345(x6231,x6233,x6234,x6235),f345(x6232,x6233,x6234,x6235))
% 182.43/182.08 [624]~E(x6241,x6242)+E(f345(x6243,x6241,x6244,x6245),f345(x6243,x6242,x6244,x6245))
% 182.43/182.08 [625]~E(x6251,x6252)+E(f345(x6253,x6254,x6251,x6255),f345(x6253,x6254,x6252,x6255))
% 182.43/182.08 [626]~E(x6261,x6262)+E(f345(x6263,x6264,x6265,x6261),f345(x6263,x6264,x6265,x6262))
% 182.43/182.08 [627]~E(x6271,x6272)+E(f512(x6271,x6273,x6274,x6275,x6276),f512(x6272,x6273,x6274,x6275,x6276))
% 182.43/182.08 [628]~E(x6281,x6282)+E(f512(x6283,x6281,x6284,x6285,x6286),f512(x6283,x6282,x6284,x6285,x6286))
% 182.43/182.08 [629]~E(x6291,x6292)+E(f512(x6293,x6294,x6291,x6295,x6296),f512(x6293,x6294,x6292,x6295,x6296))
% 182.43/182.08 [630]~E(x6301,x6302)+E(f512(x6303,x6304,x6305,x6301,x6306),f512(x6303,x6304,x6305,x6302,x6306))
% 182.43/182.08 [631]~E(x6311,x6312)+E(f512(x6313,x6314,x6315,x6316,x6311),f512(x6313,x6314,x6315,x6316,x6312))
% 182.43/182.08 [632]~E(x6321,x6322)+E(f495(x6321,x6323,x6324),f495(x6322,x6323,x6324))
% 182.43/182.08 [633]~E(x6331,x6332)+E(f495(x6333,x6331,x6334),f495(x6333,x6332,x6334))
% 182.43/182.08 [634]~E(x6341,x6342)+E(f495(x6343,x6344,x6341),f495(x6343,x6344,x6342))
% 182.43/182.08 [635]~E(x6351,x6352)+E(f763(x6351,x6353,x6354,x6355),f763(x6352,x6353,x6354,x6355))
% 182.43/182.08 [636]~E(x6361,x6362)+E(f763(x6363,x6361,x6364,x6365),f763(x6363,x6362,x6364,x6365))
% 182.43/182.08 [637]~E(x6371,x6372)+E(f763(x6373,x6374,x6371,x6375),f763(x6373,x6374,x6372,x6375))
% 182.43/182.08 [638]~E(x6381,x6382)+E(f763(x6383,x6384,x6385,x6381),f763(x6383,x6384,x6385,x6382))
% 182.43/182.08 [639]~E(x6391,x6392)+E(f297(x6391,x6393,x6394),f297(x6392,x6393,x6394))
% 182.43/182.08 [640]~E(x6401,x6402)+E(f297(x6403,x6401,x6404),f297(x6403,x6402,x6404))
% 182.43/182.08 [641]~E(x6411,x6412)+E(f297(x6413,x6414,x6411),f297(x6413,x6414,x6412))
% 182.43/182.08 [642]~E(x6421,x6422)+E(f595(x6421,x6423,x6424),f595(x6422,x6423,x6424))
% 182.43/182.08 [643]~E(x6431,x6432)+E(f595(x6433,x6431,x6434),f595(x6433,x6432,x6434))
% 182.43/182.08 [644]~E(x6441,x6442)+E(f595(x6443,x6444,x6441),f595(x6443,x6444,x6442))
% 182.43/182.08 [645]~E(x6451,x6452)+E(f796(x6451,x6453,x6454,x6455,x6456,x6457),f796(x6452,x6453,x6454,x6455,x6456,x6457))
% 182.43/182.08 [646]~E(x6461,x6462)+E(f796(x6463,x6461,x6464,x6465,x6466,x6467),f796(x6463,x6462,x6464,x6465,x6466,x6467))
% 182.43/182.08 [647]~E(x6471,x6472)+E(f796(x6473,x6474,x6471,x6475,x6476,x6477),f796(x6473,x6474,x6472,x6475,x6476,x6477))
% 182.43/182.08 [648]~E(x6481,x6482)+E(f796(x6483,x6484,x6485,x6481,x6486,x6487),f796(x6483,x6484,x6485,x6482,x6486,x6487))
% 182.43/182.08 [649]~E(x6491,x6492)+E(f796(x6493,x6494,x6495,x6496,x6491,x6497),f796(x6493,x6494,x6495,x6496,x6492,x6497))
% 182.43/182.08 [650]~E(x6501,x6502)+E(f796(x6503,x6504,x6505,x6506,x6507,x6501),f796(x6503,x6504,x6505,x6506,x6507,x6502))
% 182.43/182.08 [651]~E(x6511,x6512)+E(f813(x6511,x6513,x6514,x6515),f813(x6512,x6513,x6514,x6515))
% 182.43/182.08 [652]~E(x6521,x6522)+E(f813(x6523,x6521,x6524,x6525),f813(x6523,x6522,x6524,x6525))
% 182.43/182.08 [653]~E(x6531,x6532)+E(f813(x6533,x6534,x6531,x6535),f813(x6533,x6534,x6532,x6535))
% 182.43/182.08 [654]~E(x6541,x6542)+E(f813(x6543,x6544,x6545,x6541),f813(x6543,x6544,x6545,x6542))
% 182.43/182.08 [655]~E(x6551,x6552)+E(f466(x6551),f466(x6552))
% 182.43/182.08 [656]~E(x6561,x6562)+E(f608(x6561,x6563,x6564,x6565),f608(x6562,x6563,x6564,x6565))
% 182.43/182.08 [657]~E(x6571,x6572)+E(f608(x6573,x6571,x6574,x6575),f608(x6573,x6572,x6574,x6575))
% 182.43/182.08 [658]~E(x6581,x6582)+E(f608(x6583,x6584,x6581,x6585),f608(x6583,x6584,x6582,x6585))
% 182.43/182.08 [659]~E(x6591,x6592)+E(f608(x6593,x6594,x6595,x6591),f608(x6593,x6594,x6595,x6592))
% 182.43/182.08 [660]~E(x6601,x6602)+E(f141(x6601,x6603,x6604,x6605),f141(x6602,x6603,x6604,x6605))
% 182.43/182.08 [661]~E(x6611,x6612)+E(f141(x6613,x6611,x6614,x6615),f141(x6613,x6612,x6614,x6615))
% 182.43/182.08 [662]~E(x6621,x6622)+E(f141(x6623,x6624,x6621,x6625),f141(x6623,x6624,x6622,x6625))
% 182.43/182.08 [663]~E(x6631,x6632)+E(f141(x6633,x6634,x6635,x6631),f141(x6633,x6634,x6635,x6632))
% 182.43/182.08 [664]~E(x6641,x6642)+E(f54(x6641,x6643,x6644,x6645),f54(x6642,x6643,x6644,x6645))
% 182.43/182.08 [665]~E(x6651,x6652)+E(f54(x6653,x6651,x6654,x6655),f54(x6653,x6652,x6654,x6655))
% 182.43/182.08 [666]~E(x6661,x6662)+E(f54(x6663,x6664,x6661,x6665),f54(x6663,x6664,x6662,x6665))
% 182.43/182.08 [667]~E(x6671,x6672)+E(f54(x6673,x6674,x6675,x6671),f54(x6673,x6674,x6675,x6672))
% 182.43/182.08 [668]~E(x6681,x6682)+E(f310(x6681,x6683,x6684,x6685),f310(x6682,x6683,x6684,x6685))
% 182.43/182.08 [669]~E(x6691,x6692)+E(f310(x6693,x6691,x6694,x6695),f310(x6693,x6692,x6694,x6695))
% 182.43/182.08 [670]~E(x6701,x6702)+E(f310(x6703,x6704,x6701,x6705),f310(x6703,x6704,x6702,x6705))
% 182.43/182.08 [671]~E(x6711,x6712)+E(f310(x6713,x6714,x6715,x6711),f310(x6713,x6714,x6715,x6712))
% 182.43/182.08 [672]~E(x6721,x6722)+E(f346(x6721,x6723,x6724,x6725),f346(x6722,x6723,x6724,x6725))
% 182.43/182.08 [673]~E(x6731,x6732)+E(f346(x6733,x6731,x6734,x6735),f346(x6733,x6732,x6734,x6735))
% 182.43/182.08 [674]~E(x6741,x6742)+E(f346(x6743,x6744,x6741,x6745),f346(x6743,x6744,x6742,x6745))
% 182.43/182.08 [675]~E(x6751,x6752)+E(f346(x6753,x6754,x6755,x6751),f346(x6753,x6754,x6755,x6752))
% 182.43/182.08 [676]~E(x6761,x6762)+E(f863(x6761,x6763,x6764,x6765,x6766),f863(x6762,x6763,x6764,x6765,x6766))
% 182.43/182.08 [677]~E(x6771,x6772)+E(f863(x6773,x6771,x6774,x6775,x6776),f863(x6773,x6772,x6774,x6775,x6776))
% 182.43/182.08 [678]~E(x6781,x6782)+E(f863(x6783,x6784,x6781,x6785,x6786),f863(x6783,x6784,x6782,x6785,x6786))
% 182.43/182.08 [679]~E(x6791,x6792)+E(f863(x6793,x6794,x6795,x6791,x6796),f863(x6793,x6794,x6795,x6792,x6796))
% 182.43/182.08 [680]~E(x6801,x6802)+E(f863(x6803,x6804,x6805,x6806,x6801),f863(x6803,x6804,x6805,x6806,x6802))
% 182.43/182.08 [681]~E(x6811,x6812)+E(f723(x6811,x6813,x6814,x6815,x6816),f723(x6812,x6813,x6814,x6815,x6816))
% 182.43/182.08 [682]~E(x6821,x6822)+E(f723(x6823,x6821,x6824,x6825,x6826),f723(x6823,x6822,x6824,x6825,x6826))
% 182.43/182.08 [683]~E(x6831,x6832)+E(f723(x6833,x6834,x6831,x6835,x6836),f723(x6833,x6834,x6832,x6835,x6836))
% 182.43/182.08 [684]~E(x6841,x6842)+E(f723(x6843,x6844,x6845,x6841,x6846),f723(x6843,x6844,x6845,x6842,x6846))
% 182.43/182.08 [685]~E(x6851,x6852)+E(f723(x6853,x6854,x6855,x6856,x6851),f723(x6853,x6854,x6855,x6856,x6852))
% 182.43/182.08 [686]~E(x6861,x6862)+E(f442(x6861,x6863,x6864),f442(x6862,x6863,x6864))
% 182.43/182.08 [687]~E(x6871,x6872)+E(f442(x6873,x6871,x6874),f442(x6873,x6872,x6874))
% 182.43/182.08 [688]~E(x6881,x6882)+E(f442(x6883,x6884,x6881),f442(x6883,x6884,x6882))
% 182.43/182.08 [689]~E(x6891,x6892)+E(f840(x6891,x6893,x6894),f840(x6892,x6893,x6894))
% 182.43/182.08 [690]~E(x6901,x6902)+E(f840(x6903,x6901,x6904),f840(x6903,x6902,x6904))
% 182.43/182.08 [691]~E(x6911,x6912)+E(f840(x6913,x6914,x6911),f840(x6913,x6914,x6912))
% 182.43/182.08 [692]~E(x6921,x6922)+E(f255(x6921,x6923),f255(x6922,x6923))
% 182.43/182.08 [693]~E(x6931,x6932)+E(f255(x6933,x6931),f255(x6933,x6932))
% 182.43/182.08 [694]~E(x6941,x6942)+E(f850(x6941,x6943,x6944),f850(x6942,x6943,x6944))
% 182.43/182.08 [695]~E(x6951,x6952)+E(f850(x6953,x6951,x6954),f850(x6953,x6952,x6954))
% 182.43/182.08 [696]~E(x6961,x6962)+E(f850(x6963,x6964,x6961),f850(x6963,x6964,x6962))
% 182.43/182.08 [697]~E(x6971,x6972)+E(f846(x6971,x6973,x6974),f846(x6972,x6973,x6974))
% 182.43/182.08 [698]~E(x6981,x6982)+E(f846(x6983,x6981,x6984),f846(x6983,x6982,x6984))
% 182.43/182.08 [699]~E(x6991,x6992)+E(f846(x6993,x6994,x6991),f846(x6993,x6994,x6992))
% 182.43/182.08 [700]~E(x7001,x7002)+E(f295(x7001),f295(x7002))
% 182.43/182.08 [701]~E(x7011,x7012)+E(f126(x7011),f126(x7012))
% 182.43/182.08 [702]~E(x7021,x7022)+E(f51(x7021),f51(x7022))
% 182.43/182.08 [703]~E(x7031,x7032)+E(f786(x7031),f786(x7032))
% 182.43/182.08 [704]~E(x7041,x7042)+E(f889(x7041,x7043),f889(x7042,x7043))
% 182.43/182.08 [705]~E(x7051,x7052)+E(f889(x7053,x7051),f889(x7053,x7052))
% 182.43/182.08 [706]~E(x7061,x7062)+E(f493(x7061,x7063,x7064,x7065),f493(x7062,x7063,x7064,x7065))
% 182.43/182.08 [707]~E(x7071,x7072)+E(f493(x7073,x7071,x7074,x7075),f493(x7073,x7072,x7074,x7075))
% 182.43/182.08 [708]~E(x7081,x7082)+E(f493(x7083,x7084,x7081,x7085),f493(x7083,x7084,x7082,x7085))
% 182.43/182.08 [709]~E(x7091,x7092)+E(f493(x7093,x7094,x7095,x7091),f493(x7093,x7094,x7095,x7092))
% 182.43/182.08 [710]~E(x7101,x7102)+E(f81(x7101,x7103),f81(x7102,x7103))
% 182.43/182.08 [711]~E(x7111,x7112)+E(f81(x7113,x7111),f81(x7113,x7112))
% 182.43/182.08 [712]~E(x7121,x7122)+E(f604(x7121,x7123,x7124),f604(x7122,x7123,x7124))
% 182.43/182.08 [713]~E(x7131,x7132)+E(f604(x7133,x7131,x7134),f604(x7133,x7132,x7134))
% 182.43/182.08 [714]~E(x7141,x7142)+E(f604(x7143,x7144,x7141),f604(x7143,x7144,x7142))
% 182.43/182.08 [715]~E(x7151,x7152)+E(f748(x7151,x7153,x7154,x7155),f748(x7152,x7153,x7154,x7155))
% 182.43/182.08 [716]~E(x7161,x7162)+E(f748(x7163,x7161,x7164,x7165),f748(x7163,x7162,x7164,x7165))
% 182.43/182.08 [717]~E(x7171,x7172)+E(f748(x7173,x7174,x7171,x7175),f748(x7173,x7174,x7172,x7175))
% 182.43/182.08 [718]~E(x7181,x7182)+E(f748(x7183,x7184,x7185,x7181),f748(x7183,x7184,x7185,x7182))
% 182.43/182.08 [719]~E(x7191,x7192)+E(f41(x7191,x7193),f41(x7192,x7193))
% 182.43/182.08 [720]~E(x7201,x7202)+E(f41(x7203,x7201),f41(x7203,x7202))
% 182.43/182.08 [721]~E(x7211,x7212)+E(f474(x7211,x7213,x7214,x7215,x7216,x7217,x7218),f474(x7212,x7213,x7214,x7215,x7216,x7217,x7218))
% 182.43/182.08 [722]~E(x7221,x7222)+E(f474(x7223,x7221,x7224,x7225,x7226,x7227,x7228),f474(x7223,x7222,x7224,x7225,x7226,x7227,x7228))
% 182.43/182.09 [723]~E(x7231,x7232)+E(f474(x7233,x7234,x7231,x7235,x7236,x7237,x7238),f474(x7233,x7234,x7232,x7235,x7236,x7237,x7238))
% 182.43/182.09 [724]~E(x7241,x7242)+E(f474(x7243,x7244,x7245,x7241,x7246,x7247,x7248),f474(x7243,x7244,x7245,x7242,x7246,x7247,x7248))
% 182.43/182.09 [725]~E(x7251,x7252)+E(f474(x7253,x7254,x7255,x7256,x7251,x7257,x7258),f474(x7253,x7254,x7255,x7256,x7252,x7257,x7258))
% 182.43/182.09 [726]~E(x7261,x7262)+E(f474(x7263,x7264,x7265,x7266,x7267,x7261,x7268),f474(x7263,x7264,x7265,x7266,x7267,x7262,x7268))
% 182.43/182.09 [727]~E(x7271,x7272)+E(f474(x7273,x7274,x7275,x7276,x7277,x7278,x7271),f474(x7273,x7274,x7275,x7276,x7277,x7278,x7272))
% 182.43/182.09 [728]~E(x7281,x7282)+E(f417(x7281,x7283,x7284),f417(x7282,x7283,x7284))
% 182.43/182.09 [729]~E(x7291,x7292)+E(f417(x7293,x7291,x7294),f417(x7293,x7292,x7294))
% 182.43/182.09 [730]~E(x7301,x7302)+E(f417(x7303,x7304,x7301),f417(x7303,x7304,x7302))
% 182.43/182.09 [731]~E(x7311,x7312)+E(f668(x7311,x7313,x7314,x7315,x7316),f668(x7312,x7313,x7314,x7315,x7316))
% 182.43/182.09 [732]~E(x7321,x7322)+E(f668(x7323,x7321,x7324,x7325,x7326),f668(x7323,x7322,x7324,x7325,x7326))
% 182.43/182.09 [733]~E(x7331,x7332)+E(f668(x7333,x7334,x7331,x7335,x7336),f668(x7333,x7334,x7332,x7335,x7336))
% 182.43/182.09 [734]~E(x7341,x7342)+E(f668(x7343,x7344,x7345,x7341,x7346),f668(x7343,x7344,x7345,x7342,x7346))
% 182.43/182.09 [735]~E(x7351,x7352)+E(f668(x7353,x7354,x7355,x7356,x7351),f668(x7353,x7354,x7355,x7356,x7352))
% 182.43/182.09 [736]~E(x7361,x7362)+E(f379(x7361,x7363,x7364),f379(x7362,x7363,x7364))
% 182.43/182.09 [737]~E(x7371,x7372)+E(f379(x7373,x7371,x7374),f379(x7373,x7372,x7374))
% 182.43/182.09 [738]~E(x7381,x7382)+E(f379(x7383,x7384,x7381),f379(x7383,x7384,x7382))
% 182.43/182.09 [739]~E(x7391,x7392)+E(f190(x7391,x7393),f190(x7392,x7393))
% 182.43/182.09 [740]~E(x7401,x7402)+E(f190(x7403,x7401),f190(x7403,x7402))
% 182.43/182.09 [741]~E(x7411,x7412)+E(f598(x7411,x7413,x7414),f598(x7412,x7413,x7414))
% 182.43/182.09 [742]~E(x7421,x7422)+E(f598(x7423,x7421,x7424),f598(x7423,x7422,x7424))
% 182.43/182.09 [743]~E(x7431,x7432)+E(f598(x7433,x7434,x7431),f598(x7433,x7434,x7432))
% 182.43/182.09 [744]~E(x7441,x7442)+E(f371(x7441,x7443,x7444),f371(x7442,x7443,x7444))
% 182.43/182.09 [745]~E(x7451,x7452)+E(f371(x7453,x7451,x7454),f371(x7453,x7452,x7454))
% 182.43/182.09 [746]~E(x7461,x7462)+E(f371(x7463,x7464,x7461),f371(x7463,x7464,x7462))
% 182.43/182.09 [747]~E(x7471,x7472)+E(f312(x7471,x7473,x7474),f312(x7472,x7473,x7474))
% 182.43/182.09 [748]~E(x7481,x7482)+E(f312(x7483,x7481,x7484),f312(x7483,x7482,x7484))
% 182.43/182.09 [749]~E(x7491,x7492)+E(f312(x7493,x7494,x7491),f312(x7493,x7494,x7492))
% 182.43/182.09 [750]~E(x7501,x7502)+E(f622(x7501,x7503,x7504,x7505,x7506,x7507),f622(x7502,x7503,x7504,x7505,x7506,x7507))
% 182.43/182.09 [751]~E(x7511,x7512)+E(f622(x7513,x7511,x7514,x7515,x7516,x7517),f622(x7513,x7512,x7514,x7515,x7516,x7517))
% 182.43/182.09 [752]~E(x7521,x7522)+E(f622(x7523,x7524,x7521,x7525,x7526,x7527),f622(x7523,x7524,x7522,x7525,x7526,x7527))
% 182.43/182.09 [753]~E(x7531,x7532)+E(f622(x7533,x7534,x7535,x7531,x7536,x7537),f622(x7533,x7534,x7535,x7532,x7536,x7537))
% 182.43/182.09 [754]~E(x7541,x7542)+E(f622(x7543,x7544,x7545,x7546,x7541,x7547),f622(x7543,x7544,x7545,x7546,x7542,x7547))
% 182.43/182.09 [755]~E(x7551,x7552)+E(f622(x7553,x7554,x7555,x7556,x7557,x7551),f622(x7553,x7554,x7555,x7556,x7557,x7552))
% 182.43/182.09 [756]~E(x7561,x7562)+E(f625(x7561,x7563,x7564,x7565,x7566,x7567),f625(x7562,x7563,x7564,x7565,x7566,x7567))
% 182.43/182.09 [757]~E(x7571,x7572)+E(f625(x7573,x7571,x7574,x7575,x7576,x7577),f625(x7573,x7572,x7574,x7575,x7576,x7577))
% 182.43/182.09 [758]~E(x7581,x7582)+E(f625(x7583,x7584,x7581,x7585,x7586,x7587),f625(x7583,x7584,x7582,x7585,x7586,x7587))
% 182.43/182.09 [759]~E(x7591,x7592)+E(f625(x7593,x7594,x7595,x7591,x7596,x7597),f625(x7593,x7594,x7595,x7592,x7596,x7597))
% 182.43/182.09 [760]~E(x7601,x7602)+E(f625(x7603,x7604,x7605,x7606,x7601,x7607),f625(x7603,x7604,x7605,x7606,x7602,x7607))
% 182.43/182.09 [761]~E(x7611,x7612)+E(f625(x7613,x7614,x7615,x7616,x7617,x7611),f625(x7613,x7614,x7615,x7616,x7617,x7612))
% 182.43/182.09 [762]~E(x7621,x7622)+E(f430(x7621,x7623,x7624),f430(x7622,x7623,x7624))
% 182.43/182.09 [763]~E(x7631,x7632)+E(f430(x7633,x7631,x7634),f430(x7633,x7632,x7634))
% 182.43/182.09 [764]~E(x7641,x7642)+E(f430(x7643,x7644,x7641),f430(x7643,x7644,x7642))
% 182.43/182.09 [765]~E(x7651,x7652)+E(f525(x7651,x7653),f525(x7652,x7653))
% 182.43/182.09 [766]~E(x7661,x7662)+E(f525(x7663,x7661),f525(x7663,x7662))
% 182.43/182.09 [767]~E(x7671,x7672)+E(f878(x7671,x7673),f878(x7672,x7673))
% 182.43/182.09 [768]~E(x7681,x7682)+E(f878(x7683,x7681),f878(x7683,x7682))
% 182.43/182.09 [769]~E(x7691,x7692)+E(f211(x7691,x7693,x7694,x7695),f211(x7692,x7693,x7694,x7695))
% 182.43/182.09 [770]~E(x7701,x7702)+E(f211(x7703,x7701,x7704,x7705),f211(x7703,x7702,x7704,x7705))
% 182.43/182.09 [771]~E(x7711,x7712)+E(f211(x7713,x7714,x7711,x7715),f211(x7713,x7714,x7712,x7715))
% 182.43/182.09 [772]~E(x7721,x7722)+E(f211(x7723,x7724,x7725,x7721),f211(x7723,x7724,x7725,x7722))
% 182.43/182.09 [773]~E(x7731,x7732)+E(f239(x7731,x7733),f239(x7732,x7733))
% 182.43/182.09 [774]~E(x7741,x7742)+E(f239(x7743,x7741),f239(x7743,x7742))
% 182.43/182.09 [775]~E(x7751,x7752)+E(f373(x7751,x7753,x7754,x7755),f373(x7752,x7753,x7754,x7755))
% 182.43/182.09 [776]~E(x7761,x7762)+E(f373(x7763,x7761,x7764,x7765),f373(x7763,x7762,x7764,x7765))
% 182.43/182.09 [777]~E(x7771,x7772)+E(f373(x7773,x7774,x7771,x7775),f373(x7773,x7774,x7772,x7775))
% 182.43/182.09 [778]~E(x7781,x7782)+E(f373(x7783,x7784,x7785,x7781),f373(x7783,x7784,x7785,x7782))
% 182.43/182.09 [779]~E(x7791,x7792)+E(f522(x7791),f522(x7792))
% 182.43/182.09 [780]~E(x7801,x7802)+E(f374(x7801,x7803,x7804,x7805,x7806),f374(x7802,x7803,x7804,x7805,x7806))
% 182.43/182.09 [781]~E(x7811,x7812)+E(f374(x7813,x7811,x7814,x7815,x7816),f374(x7813,x7812,x7814,x7815,x7816))
% 182.43/182.09 [782]~E(x7821,x7822)+E(f374(x7823,x7824,x7821,x7825,x7826),f374(x7823,x7824,x7822,x7825,x7826))
% 182.43/182.09 [783]~E(x7831,x7832)+E(f374(x7833,x7834,x7835,x7831,x7836),f374(x7833,x7834,x7835,x7832,x7836))
% 182.43/182.09 [784]~E(x7841,x7842)+E(f374(x7843,x7844,x7845,x7846,x7841),f374(x7843,x7844,x7845,x7846,x7842))
% 182.43/182.09 [785]~E(x7851,x7852)+E(f777(x7851,x7853,x7854,x7855),f777(x7852,x7853,x7854,x7855))
% 182.43/182.09 [786]~E(x7861,x7862)+E(f777(x7863,x7861,x7864,x7865),f777(x7863,x7862,x7864,x7865))
% 182.43/182.09 [787]~E(x7871,x7872)+E(f777(x7873,x7874,x7871,x7875),f777(x7873,x7874,x7872,x7875))
% 182.43/182.09 [788]~E(x7881,x7882)+E(f777(x7883,x7884,x7885,x7881),f777(x7883,x7884,x7885,x7882))
% 182.43/182.09 [789]~E(x7891,x7892)+E(f404(x7891,x7893,x7894),f404(x7892,x7893,x7894))
% 182.43/182.09 [790]~E(x7901,x7902)+E(f404(x7903,x7901,x7904),f404(x7903,x7902,x7904))
% 182.43/182.09 [791]~E(x7911,x7912)+E(f404(x7913,x7914,x7911),f404(x7913,x7914,x7912))
% 182.43/182.09 [792]~E(x7921,x7922)+E(f737(x7921,x7923,x7924),f737(x7922,x7923,x7924))
% 182.43/182.09 [793]~E(x7931,x7932)+E(f737(x7933,x7931,x7934),f737(x7933,x7932,x7934))
% 182.43/182.09 [794]~E(x7941,x7942)+E(f737(x7943,x7944,x7941),f737(x7943,x7944,x7942))
% 182.43/182.09 [795]~E(x7951,x7952)+E(f456(x7951,x7953,x7954),f456(x7952,x7953,x7954))
% 182.43/182.09 [796]~E(x7961,x7962)+E(f456(x7963,x7961,x7964),f456(x7963,x7962,x7964))
% 182.43/182.09 [797]~E(x7971,x7972)+E(f456(x7973,x7974,x7971),f456(x7973,x7974,x7972))
% 182.43/182.09 [798]~E(x7981,x7982)+E(f475(x7981,x7983,x7984,x7985,x7986,x7987,x7988),f475(x7982,x7983,x7984,x7985,x7986,x7987,x7988))
% 182.43/182.09 [799]~E(x7991,x7992)+E(f475(x7993,x7991,x7994,x7995,x7996,x7997,x7998),f475(x7993,x7992,x7994,x7995,x7996,x7997,x7998))
% 182.43/182.09 [800]~E(x8001,x8002)+E(f475(x8003,x8004,x8001,x8005,x8006,x8007,x8008),f475(x8003,x8004,x8002,x8005,x8006,x8007,x8008))
% 182.43/182.09 [801]~E(x8011,x8012)+E(f475(x8013,x8014,x8015,x8011,x8016,x8017,x8018),f475(x8013,x8014,x8015,x8012,x8016,x8017,x8018))
% 182.43/182.09 [802]~E(x8021,x8022)+E(f475(x8023,x8024,x8025,x8026,x8021,x8027,x8028),f475(x8023,x8024,x8025,x8026,x8022,x8027,x8028))
% 182.43/182.09 [803]~E(x8031,x8032)+E(f475(x8033,x8034,x8035,x8036,x8037,x8031,x8038),f475(x8033,x8034,x8035,x8036,x8037,x8032,x8038))
% 182.43/182.09 [804]~E(x8041,x8042)+E(f475(x8043,x8044,x8045,x8046,x8047,x8048,x8041),f475(x8043,x8044,x8045,x8046,x8047,x8048,x8042))
% 182.43/182.09 [805]~E(x8051,x8052)+E(f691(x8051,x8053,x8054),f691(x8052,x8053,x8054))
% 182.43/182.09 [806]~E(x8061,x8062)+E(f691(x8063,x8061,x8064),f691(x8063,x8062,x8064))
% 182.43/182.09 [807]~E(x8071,x8072)+E(f691(x8073,x8074,x8071),f691(x8073,x8074,x8072))
% 182.43/182.09 [808]~E(x8081,x8082)+E(f203(x8081),f203(x8082))
% 182.43/182.09 [809]~E(x8091,x8092)+E(f291(x8091,x8093,x8094,x8095,x8096),f291(x8092,x8093,x8094,x8095,x8096))
% 182.43/182.09 [810]~E(x8101,x8102)+E(f291(x8103,x8101,x8104,x8105,x8106),f291(x8103,x8102,x8104,x8105,x8106))
% 182.43/182.09 [811]~E(x8111,x8112)+E(f291(x8113,x8114,x8111,x8115,x8116),f291(x8113,x8114,x8112,x8115,x8116))
% 182.43/182.09 [812]~E(x8121,x8122)+E(f291(x8123,x8124,x8125,x8121,x8126),f291(x8123,x8124,x8125,x8122,x8126))
% 182.43/182.09 [813]~E(x8131,x8132)+E(f291(x8133,x8134,x8135,x8136,x8131),f291(x8133,x8134,x8135,x8136,x8132))
% 182.43/182.09 [814]~E(x8141,x8142)+E(f843(x8141,x8143,x8144,x8145,x8146,x8147,x8148),f843(x8142,x8143,x8144,x8145,x8146,x8147,x8148))
% 182.43/182.09 [815]~E(x8151,x8152)+E(f843(x8153,x8151,x8154,x8155,x8156,x8157,x8158),f843(x8153,x8152,x8154,x8155,x8156,x8157,x8158))
% 182.43/182.09 [816]~E(x8161,x8162)+E(f843(x8163,x8164,x8161,x8165,x8166,x8167,x8168),f843(x8163,x8164,x8162,x8165,x8166,x8167,x8168))
% 182.43/182.09 [817]~E(x8171,x8172)+E(f843(x8173,x8174,x8175,x8171,x8176,x8177,x8178),f843(x8173,x8174,x8175,x8172,x8176,x8177,x8178))
% 182.43/182.09 [818]~E(x8181,x8182)+E(f843(x8183,x8184,x8185,x8186,x8181,x8187,x8188),f843(x8183,x8184,x8185,x8186,x8182,x8187,x8188))
% 182.43/182.09 [819]~E(x8191,x8192)+E(f843(x8193,x8194,x8195,x8196,x8197,x8191,x8198),f843(x8193,x8194,x8195,x8196,x8197,x8192,x8198))
% 182.43/182.09 [820]~E(x8201,x8202)+E(f843(x8203,x8204,x8205,x8206,x8207,x8208,x8201),f843(x8203,x8204,x8205,x8206,x8207,x8208,x8202))
% 182.43/182.09 [821]~E(x8211,x8212)+E(f241(x8211,x8213,x8214),f241(x8212,x8213,x8214))
% 182.43/182.09 [822]~E(x8221,x8222)+E(f241(x8223,x8221,x8224),f241(x8223,x8222,x8224))
% 182.43/182.09 [823]~E(x8231,x8232)+E(f241(x8233,x8234,x8231),f241(x8233,x8234,x8232))
% 182.43/182.09 [824]~E(x8241,x8242)+E(f221(x8241,x8243,x8244),f221(x8242,x8243,x8244))
% 182.43/182.09 [825]~E(x8251,x8252)+E(f221(x8253,x8251,x8254),f221(x8253,x8252,x8254))
% 182.43/182.09 [826]~E(x8261,x8262)+E(f221(x8263,x8264,x8261),f221(x8263,x8264,x8262))
% 182.43/182.09 [827]~E(x8271,x8272)+E(f333(x8271,x8273,x8274,x8275),f333(x8272,x8273,x8274,x8275))
% 182.43/182.09 [828]~E(x8281,x8282)+E(f333(x8283,x8281,x8284,x8285),f333(x8283,x8282,x8284,x8285))
% 182.43/182.09 [829]~E(x8291,x8292)+E(f333(x8293,x8294,x8291,x8295),f333(x8293,x8294,x8292,x8295))
% 182.43/182.09 [830]~E(x8301,x8302)+E(f333(x8303,x8304,x8305,x8301),f333(x8303,x8304,x8305,x8302))
% 182.43/182.09 [831]~E(x8311,x8312)+E(f400(x8311,x8313,x8314,x8315),f400(x8312,x8313,x8314,x8315))
% 182.43/182.09 [832]~E(x8321,x8322)+E(f400(x8323,x8321,x8324,x8325),f400(x8323,x8322,x8324,x8325))
% 182.43/182.09 [833]~E(x8331,x8332)+E(f400(x8333,x8334,x8331,x8335),f400(x8333,x8334,x8332,x8335))
% 182.43/182.09 [834]~E(x8341,x8342)+E(f400(x8343,x8344,x8345,x8341),f400(x8343,x8344,x8345,x8342))
% 182.43/182.09 [835]~E(x8351,x8352)+E(f610(x8351,x8353,x8354,x8355,x8356,x8357),f610(x8352,x8353,x8354,x8355,x8356,x8357))
% 182.43/182.09 [836]~E(x8361,x8362)+E(f610(x8363,x8361,x8364,x8365,x8366,x8367),f610(x8363,x8362,x8364,x8365,x8366,x8367))
% 182.43/182.09 [837]~E(x8371,x8372)+E(f610(x8373,x8374,x8371,x8375,x8376,x8377),f610(x8373,x8374,x8372,x8375,x8376,x8377))
% 182.43/182.09 [838]~E(x8381,x8382)+E(f610(x8383,x8384,x8385,x8381,x8386,x8387),f610(x8383,x8384,x8385,x8382,x8386,x8387))
% 182.43/182.09 [839]~E(x8391,x8392)+E(f610(x8393,x8394,x8395,x8396,x8391,x8397),f610(x8393,x8394,x8395,x8396,x8392,x8397))
% 182.43/182.09 [840]~E(x8401,x8402)+E(f610(x8403,x8404,x8405,x8406,x8407,x8401),f610(x8403,x8404,x8405,x8406,x8407,x8402))
% 182.43/182.09 [841]~E(x8411,x8412)+E(f56(x8411,x8413,x8414),f56(x8412,x8413,x8414))
% 182.43/182.09 [842]~E(x8421,x8422)+E(f56(x8423,x8421,x8424),f56(x8423,x8422,x8424))
% 182.43/182.09 [843]~E(x8431,x8432)+E(f56(x8433,x8434,x8431),f56(x8433,x8434,x8432))
% 182.43/182.09 [844]~E(x8441,x8442)+E(f352(x8441,x8443),f352(x8442,x8443))
% 182.43/182.09 [845]~E(x8451,x8452)+E(f352(x8453,x8451),f352(x8453,x8452))
% 182.43/182.09 [846]~E(x8461,x8462)+E(f43(x8461,x8463),f43(x8462,x8463))
% 182.43/182.09 [847]~E(x8471,x8472)+E(f43(x8473,x8471),f43(x8473,x8472))
% 182.43/182.09 [848]~E(x8481,x8482)+E(f448(x8481,x8483),f448(x8482,x8483))
% 182.43/182.09 [849]~E(x8491,x8492)+E(f448(x8493,x8491),f448(x8493,x8492))
% 182.43/182.09 [850]~E(x8501,x8502)+E(f60(x8501,x8503,x8504,x8505,x8506),f60(x8502,x8503,x8504,x8505,x8506))
% 182.43/182.09 [851]~E(x8511,x8512)+E(f60(x8513,x8511,x8514,x8515,x8516),f60(x8513,x8512,x8514,x8515,x8516))
% 182.43/182.09 [852]~E(x8521,x8522)+E(f60(x8523,x8524,x8521,x8525,x8526),f60(x8523,x8524,x8522,x8525,x8526))
% 182.43/182.09 [853]~E(x8531,x8532)+E(f60(x8533,x8534,x8535,x8531,x8536),f60(x8533,x8534,x8535,x8532,x8536))
% 182.43/182.09 [854]~E(x8541,x8542)+E(f60(x8543,x8544,x8545,x8546,x8541),f60(x8543,x8544,x8545,x8546,x8542))
% 182.43/182.09 [855]~E(x8551,x8552)+E(f45(x8551,x8553),f45(x8552,x8553))
% 182.43/182.09 [856]~E(x8561,x8562)+E(f45(x8563,x8561),f45(x8563,x8562))
% 182.43/182.09 [857]~E(x8571,x8572)+E(f138(x8571,x8573),f138(x8572,x8573))
% 182.43/182.09 [858]~E(x8581,x8582)+E(f138(x8583,x8581),f138(x8583,x8582))
% 182.43/182.09 [859]~E(x8591,x8592)+E(f728(x8591,x8593,x8594,x8595,x8596,x8597,x8598),f728(x8592,x8593,x8594,x8595,x8596,x8597,x8598))
% 182.43/182.09 [860]~E(x8601,x8602)+E(f728(x8603,x8601,x8604,x8605,x8606,x8607,x8608),f728(x8603,x8602,x8604,x8605,x8606,x8607,x8608))
% 182.43/182.09 [861]~E(x8611,x8612)+E(f728(x8613,x8614,x8611,x8615,x8616,x8617,x8618),f728(x8613,x8614,x8612,x8615,x8616,x8617,x8618))
% 182.43/182.09 [862]~E(x8621,x8622)+E(f728(x8623,x8624,x8625,x8621,x8626,x8627,x8628),f728(x8623,x8624,x8625,x8622,x8626,x8627,x8628))
% 182.43/182.09 [863]~E(x8631,x8632)+E(f728(x8633,x8634,x8635,x8636,x8631,x8637,x8638),f728(x8633,x8634,x8635,x8636,x8632,x8637,x8638))
% 182.43/182.09 [864]~E(x8641,x8642)+E(f728(x8643,x8644,x8645,x8646,x8647,x8641,x8648),f728(x8643,x8644,x8645,x8646,x8647,x8642,x8648))
% 182.43/182.09 [865]~E(x8651,x8652)+E(f728(x8653,x8654,x8655,x8656,x8657,x8658,x8651),f728(x8653,x8654,x8655,x8656,x8657,x8658,x8652))
% 182.43/182.09 [866]~E(x8661,x8662)+E(f207(x8661,x8663),f207(x8662,x8663))
% 182.43/182.09 [867]~E(x8671,x8672)+E(f207(x8673,x8671),f207(x8673,x8672))
% 182.43/182.09 [868]~E(x8681,x8682)+E(f749(x8681,x8683,x8684,x8685,x8686),f749(x8682,x8683,x8684,x8685,x8686))
% 182.43/182.09 [869]~E(x8691,x8692)+E(f749(x8693,x8691,x8694,x8695,x8696),f749(x8693,x8692,x8694,x8695,x8696))
% 182.43/182.09 [870]~E(x8701,x8702)+E(f749(x8703,x8704,x8701,x8705,x8706),f749(x8703,x8704,x8702,x8705,x8706))
% 182.43/182.09 [871]~E(x8711,x8712)+E(f749(x8713,x8714,x8715,x8711,x8716),f749(x8713,x8714,x8715,x8712,x8716))
% 182.43/182.09 [872]~E(x8721,x8722)+E(f749(x8723,x8724,x8725,x8726,x8721),f749(x8723,x8724,x8725,x8726,x8722))
% 182.43/182.09 [873]~E(x8731,x8732)+E(f626(x8731,x8733,x8734,x8735),f626(x8732,x8733,x8734,x8735))
% 182.43/182.09 [874]~E(x8741,x8742)+E(f626(x8743,x8741,x8744,x8745),f626(x8743,x8742,x8744,x8745))
% 182.43/182.09 [875]~E(x8751,x8752)+E(f626(x8753,x8754,x8751,x8755),f626(x8753,x8754,x8752,x8755))
% 182.43/182.09 [876]~E(x8761,x8762)+E(f626(x8763,x8764,x8765,x8761),f626(x8763,x8764,x8765,x8762))
% 182.43/182.09 [877]~E(x8771,x8772)+E(f573(x8771,x8773,x8774,x8775),f573(x8772,x8773,x8774,x8775))
% 182.43/182.09 [878]~E(x8781,x8782)+E(f573(x8783,x8781,x8784,x8785),f573(x8783,x8782,x8784,x8785))
% 182.43/182.09 [879]~E(x8791,x8792)+E(f573(x8793,x8794,x8791,x8795),f573(x8793,x8794,x8792,x8795))
% 182.43/182.09 [880]~E(x8801,x8802)+E(f573(x8803,x8804,x8805,x8801),f573(x8803,x8804,x8805,x8802))
% 182.43/182.09 [881]~E(x8811,x8812)+E(f753(x8811,x8813,x8814),f753(x8812,x8813,x8814))
% 182.43/182.09 [882]~E(x8821,x8822)+E(f753(x8823,x8821,x8824),f753(x8823,x8822,x8824))
% 182.43/182.09 [883]~E(x8831,x8832)+E(f753(x8833,x8834,x8831),f753(x8833,x8834,x8832))
% 182.43/182.09 [884]~E(x8841,x8842)+E(f378(x8841,x8843,x8844),f378(x8842,x8843,x8844))
% 182.43/182.09 [885]~E(x8851,x8852)+E(f378(x8853,x8851,x8854),f378(x8853,x8852,x8854))
% 182.43/182.09 [886]~E(x8861,x8862)+E(f378(x8863,x8864,x8861),f378(x8863,x8864,x8862))
% 182.43/182.09 [887]~E(x8871,x8872)+E(f445(x8871,x8873,x8874,x8875,x8876,x8877),f445(x8872,x8873,x8874,x8875,x8876,x8877))
% 182.43/182.09 [888]~E(x8881,x8882)+E(f445(x8883,x8881,x8884,x8885,x8886,x8887),f445(x8883,x8882,x8884,x8885,x8886,x8887))
% 182.43/182.09 [889]~E(x8891,x8892)+E(f445(x8893,x8894,x8891,x8895,x8896,x8897),f445(x8893,x8894,x8892,x8895,x8896,x8897))
% 182.43/182.09 [890]~E(x8901,x8902)+E(f445(x8903,x8904,x8905,x8901,x8906,x8907),f445(x8903,x8904,x8905,x8902,x8906,x8907))
% 182.43/182.09 [891]~E(x8911,x8912)+E(f445(x8913,x8914,x8915,x8916,x8911,x8917),f445(x8913,x8914,x8915,x8916,x8912,x8917))
% 182.43/182.09 [892]~E(x8921,x8922)+E(f445(x8923,x8924,x8925,x8926,x8927,x8921),f445(x8923,x8924,x8925,x8926,x8927,x8922))
% 182.43/182.09 [893]~E(x8931,x8932)+E(f731(x8931,x8933,x8934),f731(x8932,x8933,x8934))
% 182.43/182.09 [894]~E(x8941,x8942)+E(f731(x8943,x8941,x8944),f731(x8943,x8942,x8944))
% 182.43/182.09 [895]~E(x8951,x8952)+E(f731(x8953,x8954,x8951),f731(x8953,x8954,x8952))
% 182.43/182.09 [896]~E(x8961,x8962)+E(f672(x8961,x8963,x8964),f672(x8962,x8963,x8964))
% 182.43/182.09 [897]~E(x8971,x8972)+E(f672(x8973,x8971,x8974),f672(x8973,x8972,x8974))
% 182.43/182.09 [898]~E(x8981,x8982)+E(f672(x8983,x8984,x8981),f672(x8983,x8984,x8982))
% 182.43/182.09 [899]~E(x8991,x8992)+E(f666(x8991,x8993,x8994,x8995),f666(x8992,x8993,x8994,x8995))
% 182.43/182.09 [900]~E(x9001,x9002)+E(f666(x9003,x9001,x9004,x9005),f666(x9003,x9002,x9004,x9005))
% 182.43/182.09 [901]~E(x9011,x9012)+E(f666(x9013,x9014,x9011,x9015),f666(x9013,x9014,x9012,x9015))
% 182.43/182.09 [902]~E(x9021,x9022)+E(f666(x9023,x9024,x9025,x9021),f666(x9023,x9024,x9025,x9022))
% 182.43/182.09 [903]~E(x9031,x9032)+E(f815(x9031,x9033,x9034,x9035),f815(x9032,x9033,x9034,x9035))
% 182.43/182.09 [904]~E(x9041,x9042)+E(f815(x9043,x9041,x9044,x9045),f815(x9043,x9042,x9044,x9045))
% 182.43/182.09 [905]~E(x9051,x9052)+E(f815(x9053,x9054,x9051,x9055),f815(x9053,x9054,x9052,x9055))
% 182.43/182.09 [906]~E(x9061,x9062)+E(f815(x9063,x9064,x9065,x9061),f815(x9063,x9064,x9065,x9062))
% 182.43/182.09 [907]~E(x9071,x9072)+E(f556(x9071,x9073,x9074,x9075,x9076),f556(x9072,x9073,x9074,x9075,x9076))
% 182.43/182.09 [908]~E(x9081,x9082)+E(f556(x9083,x9081,x9084,x9085,x9086),f556(x9083,x9082,x9084,x9085,x9086))
% 182.43/182.09 [909]~E(x9091,x9092)+E(f556(x9093,x9094,x9091,x9095,x9096),f556(x9093,x9094,x9092,x9095,x9096))
% 182.43/182.09 [910]~E(x9101,x9102)+E(f556(x9103,x9104,x9105,x9101,x9106),f556(x9103,x9104,x9105,x9102,x9106))
% 182.43/182.09 [911]~E(x9111,x9112)+E(f556(x9113,x9114,x9115,x9116,x9111),f556(x9113,x9114,x9115,x9116,x9112))
% 182.43/182.09 [912]~E(x9121,x9122)+E(f693(x9121,x9123,x9124),f693(x9122,x9123,x9124))
% 182.43/182.09 [913]~E(x9131,x9132)+E(f693(x9133,x9131,x9134),f693(x9133,x9132,x9134))
% 182.43/182.09 [914]~E(x9141,x9142)+E(f693(x9143,x9144,x9141),f693(x9143,x9144,x9142))
% 182.43/182.09 [915]~E(x9151,x9152)+E(f347(x9151,x9153,x9154,x9155),f347(x9152,x9153,x9154,x9155))
% 182.43/182.09 [916]~E(x9161,x9162)+E(f347(x9163,x9161,x9164,x9165),f347(x9163,x9162,x9164,x9165))
% 182.43/182.09 [917]~E(x9171,x9172)+E(f347(x9173,x9174,x9171,x9175),f347(x9173,x9174,x9172,x9175))
% 182.43/182.09 [918]~E(x9181,x9182)+E(f347(x9183,x9184,x9185,x9181),f347(x9183,x9184,x9185,x9182))
% 182.43/182.09 [919]~E(x9191,x9192)+E(f568(x9191,x9193,x9194,x9195,x9196),f568(x9192,x9193,x9194,x9195,x9196))
% 182.43/182.09 [920]~E(x9201,x9202)+E(f568(x9203,x9201,x9204,x9205,x9206),f568(x9203,x9202,x9204,x9205,x9206))
% 182.43/182.09 [921]~E(x9211,x9212)+E(f568(x9213,x9214,x9211,x9215,x9216),f568(x9213,x9214,x9212,x9215,x9216))
% 182.43/182.09 [922]~E(x9221,x9222)+E(f568(x9223,x9224,x9225,x9221,x9226),f568(x9223,x9224,x9225,x9222,x9226))
% 182.43/182.09 [923]~E(x9231,x9232)+E(f568(x9233,x9234,x9235,x9236,x9231),f568(x9233,x9234,x9235,x9236,x9232))
% 182.43/182.09 [924]~E(x9241,x9242)+E(f391(x9241,x9243,x9244),f391(x9242,x9243,x9244))
% 182.43/182.09 [925]~E(x9251,x9252)+E(f391(x9253,x9251,x9254),f391(x9253,x9252,x9254))
% 182.43/182.09 [926]~E(x9261,x9262)+E(f391(x9263,x9264,x9261),f391(x9263,x9264,x9262))
% 182.43/182.09 [927]~E(x9271,x9272)+E(f621(x9271,x9273,x9274,x9275),f621(x9272,x9273,x9274,x9275))
% 182.43/182.09 [928]~E(x9281,x9282)+E(f621(x9283,x9281,x9284,x9285),f621(x9283,x9282,x9284,x9285))
% 182.43/182.09 [929]~E(x9291,x9292)+E(f621(x9293,x9294,x9291,x9295),f621(x9293,x9294,x9292,x9295))
% 182.43/182.09 [930]~E(x9301,x9302)+E(f621(x9303,x9304,x9305,x9301),f621(x9303,x9304,x9305,x9302))
% 182.43/182.09 [931]~E(x9311,x9312)+E(f872(x9311,x9313),f872(x9312,x9313))
% 182.43/182.09 [932]~E(x9321,x9322)+E(f872(x9323,x9321),f872(x9323,x9322))
% 182.43/182.09 [933]~E(x9331,x9332)+E(f181(x9331,x9333,x9334,x9335),f181(x9332,x9333,x9334,x9335))
% 182.43/182.09 [934]~E(x9341,x9342)+E(f181(x9343,x9341,x9344,x9345),f181(x9343,x9342,x9344,x9345))
% 182.43/182.09 [935]~E(x9351,x9352)+E(f181(x9353,x9354,x9351,x9355),f181(x9353,x9354,x9352,x9355))
% 182.43/182.09 [936]~E(x9361,x9362)+E(f181(x9363,x9364,x9365,x9361),f181(x9363,x9364,x9365,x9362))
% 182.43/182.09 [937]~E(x9371,x9372)+E(f444(x9371,x9373,x9374),f444(x9372,x9373,x9374))
% 182.43/182.09 [938]~E(x9381,x9382)+E(f444(x9383,x9381,x9384),f444(x9383,x9382,x9384))
% 182.43/182.09 [939]~E(x9391,x9392)+E(f444(x9393,x9394,x9391),f444(x9393,x9394,x9392))
% 182.43/182.09 [940]~E(x9401,x9402)+E(f183(x9401,x9403),f183(x9402,x9403))
% 182.43/182.09 [941]~E(x9411,x9412)+E(f183(x9413,x9411),f183(x9413,x9412))
% 182.43/182.09 [942]~E(x9421,x9422)+E(f271(x9421,x9423,x9424,x9425),f271(x9422,x9423,x9424,x9425))
% 182.43/182.09 [943]~E(x9431,x9432)+E(f271(x9433,x9431,x9434,x9435),f271(x9433,x9432,x9434,x9435))
% 182.43/182.09 [944]~E(x9441,x9442)+E(f271(x9443,x9444,x9441,x9445),f271(x9443,x9444,x9442,x9445))
% 182.43/182.09 [945]~E(x9451,x9452)+E(f271(x9453,x9454,x9455,x9451),f271(x9453,x9454,x9455,x9452))
% 182.43/182.09 [946]~E(x9461,x9462)+E(f112(x9461,x9463),f112(x9462,x9463))
% 182.43/182.09 [947]~E(x9471,x9472)+E(f112(x9473,x9471),f112(x9473,x9472))
% 182.43/182.09 [948]~E(x9481,x9482)+E(f754(x9481,x9483,x9484,x9485,x9486),f754(x9482,x9483,x9484,x9485,x9486))
% 182.43/182.09 [949]~E(x9491,x9492)+E(f754(x9493,x9491,x9494,x9495,x9496),f754(x9493,x9492,x9494,x9495,x9496))
% 182.43/182.09 [950]~E(x9501,x9502)+E(f754(x9503,x9504,x9501,x9505,x9506),f754(x9503,x9504,x9502,x9505,x9506))
% 182.43/182.09 [951]~E(x9511,x9512)+E(f754(x9513,x9514,x9515,x9511,x9516),f754(x9513,x9514,x9515,x9512,x9516))
% 182.43/182.09 [952]~E(x9521,x9522)+E(f754(x9523,x9524,x9525,x9526,x9521),f754(x9523,x9524,x9525,x9526,x9522))
% 182.43/182.09 [953]~E(x9531,x9532)+E(f368(x9531,x9533,x9534),f368(x9532,x9533,x9534))
% 182.43/182.09 [954]~E(x9541,x9542)+E(f368(x9543,x9541,x9544),f368(x9543,x9542,x9544))
% 182.43/182.09 [955]~E(x9551,x9552)+E(f368(x9553,x9554,x9551),f368(x9553,x9554,x9552))
% 182.43/182.09 [956]~E(x9561,x9562)+E(f726(x9561,x9563,x9564,x9565,x9566,x9567,x9568),f726(x9562,x9563,x9564,x9565,x9566,x9567,x9568))
% 182.43/182.09 [957]~E(x9571,x9572)+E(f726(x9573,x9571,x9574,x9575,x9576,x9577,x9578),f726(x9573,x9572,x9574,x9575,x9576,x9577,x9578))
% 182.43/182.09 [958]~E(x9581,x9582)+E(f726(x9583,x9584,x9581,x9585,x9586,x9587,x9588),f726(x9583,x9584,x9582,x9585,x9586,x9587,x9588))
% 182.43/182.09 [959]~E(x9591,x9592)+E(f726(x9593,x9594,x9595,x9591,x9596,x9597,x9598),f726(x9593,x9594,x9595,x9592,x9596,x9597,x9598))
% 182.43/182.09 [960]~E(x9601,x9602)+E(f726(x9603,x9604,x9605,x9606,x9601,x9607,x9608),f726(x9603,x9604,x9605,x9606,x9602,x9607,x9608))
% 182.43/182.09 [961]~E(x9611,x9612)+E(f726(x9613,x9614,x9615,x9616,x9617,x9611,x9618),f726(x9613,x9614,x9615,x9616,x9617,x9612,x9618))
% 182.43/182.09 [962]~E(x9621,x9622)+E(f726(x9623,x9624,x9625,x9626,x9627,x9628,x9621),f726(x9623,x9624,x9625,x9626,x9627,x9628,x9622))
% 182.43/182.09 [963]~E(x9631,x9632)+E(f369(x9631,x9633,x9634),f369(x9632,x9633,x9634))
% 182.43/182.09 [964]~E(x9641,x9642)+E(f369(x9643,x9641,x9644),f369(x9643,x9642,x9644))
% 182.43/182.09 [965]~E(x9651,x9652)+E(f369(x9653,x9654,x9651),f369(x9653,x9654,x9652))
% 182.43/182.09 [966]~E(x9661,x9662)+E(f652(x9661,x9663,x9664),f652(x9662,x9663,x9664))
% 182.43/182.09 [967]~E(x9671,x9672)+E(f652(x9673,x9671,x9674),f652(x9673,x9672,x9674))
% 182.43/182.09 [968]~E(x9681,x9682)+E(f652(x9683,x9684,x9681),f652(x9683,x9684,x9682))
% 182.43/182.09 [969]~E(x9691,x9692)+E(f741(x9691,x9693,x9694),f741(x9692,x9693,x9694))
% 182.43/182.09 [970]~E(x9701,x9702)+E(f741(x9703,x9701,x9704),f741(x9703,x9702,x9704))
% 182.43/182.09 [971]~E(x9711,x9712)+E(f741(x9713,x9714,x9711),f741(x9713,x9714,x9712))
% 182.43/182.09 [972]~E(x9721,x9722)+E(f636(x9721,x9723,x9724,x9725),f636(x9722,x9723,x9724,x9725))
% 182.43/182.09 [973]~E(x9731,x9732)+E(f636(x9733,x9731,x9734,x9735),f636(x9733,x9732,x9734,x9735))
% 182.43/182.09 [974]~E(x9741,x9742)+E(f636(x9743,x9744,x9741,x9745),f636(x9743,x9744,x9742,x9745))
% 182.43/182.09 [975]~E(x9751,x9752)+E(f636(x9753,x9754,x9755,x9751),f636(x9753,x9754,x9755,x9752))
% 182.43/182.09 [976]~E(x9761,x9762)+E(f363(x9761,x9763,x9764),f363(x9762,x9763,x9764))
% 182.43/182.09 [977]~E(x9771,x9772)+E(f363(x9773,x9771,x9774),f363(x9773,x9772,x9774))
% 182.43/182.09 [978]~E(x9781,x9782)+E(f363(x9783,x9784,x9781),f363(x9783,x9784,x9782))
% 182.43/182.09 [979]~E(x9791,x9792)+E(f459(x9791,x9793,x9794),f459(x9792,x9793,x9794))
% 182.43/182.09 [980]~E(x9801,x9802)+E(f459(x9803,x9801,x9804),f459(x9803,x9802,x9804))
% 182.43/182.09 [981]~E(x9811,x9812)+E(f459(x9813,x9814,x9811),f459(x9813,x9814,x9812))
% 182.43/182.09 [982]~E(x9821,x9822)+E(f550(x9821,x9823,x9824,x9825),f550(x9822,x9823,x9824,x9825))
% 182.43/182.09 [983]~E(x9831,x9832)+E(f550(x9833,x9831,x9834,x9835),f550(x9833,x9832,x9834,x9835))
% 182.43/182.09 [984]~E(x9841,x9842)+E(f550(x9843,x9844,x9841,x9845),f550(x9843,x9844,x9842,x9845))
% 182.43/182.09 [985]~E(x9851,x9852)+E(f550(x9853,x9854,x9855,x9851),f550(x9853,x9854,x9855,x9852))
% 182.43/182.09 [986]~E(x9861,x9862)+E(f514(x9861,x9863,x9864,x9865,x9866,x9867,x9868,x9869),f514(x9862,x9863,x9864,x9865,x9866,x9867,x9868,x9869))
% 182.43/182.09 [987]~E(x9871,x9872)+E(f514(x9873,x9871,x9874,x9875,x9876,x9877,x9878,x9879),f514(x9873,x9872,x9874,x9875,x9876,x9877,x9878,x9879))
% 182.43/182.09 [988]~E(x9881,x9882)+E(f514(x9883,x9884,x9881,x9885,x9886,x9887,x9888,x9889),f514(x9883,x9884,x9882,x9885,x9886,x9887,x9888,x9889))
% 182.43/182.09 [989]~E(x9891,x9892)+E(f514(x9893,x9894,x9895,x9891,x9896,x9897,x9898,x9899),f514(x9893,x9894,x9895,x9892,x9896,x9897,x9898,x9899))
% 182.43/182.09 [990]~E(x9901,x9902)+E(f514(x9903,x9904,x9905,x9906,x9901,x9907,x9908,x9909),f514(x9903,x9904,x9905,x9906,x9902,x9907,x9908,x9909))
% 182.43/182.09 [991]~E(x9911,x9912)+E(f514(x9913,x9914,x9915,x9916,x9917,x9911,x9918,x9919),f514(x9913,x9914,x9915,x9916,x9917,x9912,x9918,x9919))
% 182.43/182.09 [992]~E(x9921,x9922)+E(f514(x9923,x9924,x9925,x9926,x9927,x9928,x9921,x9929),f514(x9923,x9924,x9925,x9926,x9927,x9928,x9922,x9929))
% 182.43/182.09 [993]~E(x9931,x9932)+E(f514(x9933,x9934,x9935,x9936,x9937,x9938,x9939,x9931),f514(x9933,x9934,x9935,x9936,x9937,x9938,x9939,x9932))
% 182.43/182.09 [994]~E(x9941,x9942)+E(f415(x9941,x9943,x9944),f415(x9942,x9943,x9944))
% 182.43/182.09 [995]~E(x9951,x9952)+E(f415(x9953,x9951,x9954),f415(x9953,x9952,x9954))
% 182.43/182.09 [996]~E(x9961,x9962)+E(f415(x9963,x9964,x9961),f415(x9963,x9964,x9962))
% 182.43/182.09 [997]~E(x9971,x9972)+E(f487(x9971,x9973,x9974,x9975),f487(x9972,x9973,x9974,x9975))
% 182.43/182.09 [998]~E(x9981,x9982)+E(f487(x9983,x9981,x9984,x9985),f487(x9983,x9982,x9984,x9985))
% 182.43/182.09 [999]~E(x9991,x9992)+E(f487(x9993,x9994,x9991,x9995),f487(x9993,x9994,x9992,x9995))
% 182.43/182.09 [1000]~E(x10001,x10002)+E(f487(x10003,x10004,x10005,x10001),f487(x10003,x10004,x10005,x10002))
% 182.43/182.09 [1001]~E(x10011,x10012)+E(f563(x10011,x10013),f563(x10012,x10013))
% 182.43/182.09 [1002]~E(x10021,x10022)+E(f563(x10023,x10021),f563(x10023,x10022))
% 182.43/182.09 [1003]~E(x10031,x10032)+E(f165(x10031,x10033,x10034),f165(x10032,x10033,x10034))
% 182.43/182.09 [1004]~E(x10041,x10042)+E(f165(x10043,x10041,x10044),f165(x10043,x10042,x10044))
% 182.43/182.09 [1005]~E(x10051,x10052)+E(f165(x10053,x10054,x10051),f165(x10053,x10054,x10052))
% 182.43/182.09 [1006]~E(x10061,x10062)+E(f518(x10061,x10063,x10064),f518(x10062,x10063,x10064))
% 182.43/182.09 [1007]~E(x10071,x10072)+E(f518(x10073,x10071,x10074),f518(x10073,x10072,x10074))
% 182.43/182.09 [1008]~E(x10081,x10082)+E(f518(x10083,x10084,x10081),f518(x10083,x10084,x10082))
% 182.43/182.09 [1009]~E(x10091,x10092)+E(f790(x10091,x10093),f790(x10092,x10093))
% 182.43/182.09 [1010]~E(x10101,x10102)+E(f790(x10103,x10101),f790(x10103,x10102))
% 182.43/182.09 [1011]~E(x10111,x10112)+E(f650(x10111,x10113),f650(x10112,x10113))
% 182.43/182.09 [1012]~E(x10121,x10122)+E(f650(x10123,x10121),f650(x10123,x10122))
% 182.43/182.09 [1013]~E(x10131,x10132)+E(f470(x10131),f470(x10132))
% 182.43/182.09 [1014]~E(x10141,x10142)+E(f473(x10141,x10143,x10144),f473(x10142,x10143,x10144))
% 182.43/182.09 [1015]~E(x10151,x10152)+E(f473(x10153,x10151,x10154),f473(x10153,x10152,x10154))
% 182.43/182.09 [1016]~E(x10161,x10162)+E(f473(x10163,x10164,x10161),f473(x10163,x10164,x10162))
% 182.43/182.09 [1017]~E(x10171,x10172)+E(f757(x10171,x10173,x10174,x10175,x10176),f757(x10172,x10173,x10174,x10175,x10176))
% 182.43/182.09 [1018]~E(x10181,x10182)+E(f757(x10183,x10181,x10184,x10185,x10186),f757(x10183,x10182,x10184,x10185,x10186))
% 182.43/182.09 [1019]~E(x10191,x10192)+E(f757(x10193,x10194,x10191,x10195,x10196),f757(x10193,x10194,x10192,x10195,x10196))
% 182.43/182.09 [1020]~E(x10201,x10202)+E(f757(x10203,x10204,x10205,x10201,x10206),f757(x10203,x10204,x10205,x10202,x10206))
% 182.43/182.09 [1021]~E(x10211,x10212)+E(f757(x10213,x10214,x10215,x10216,x10211),f757(x10213,x10214,x10215,x10216,x10212))
% 182.43/182.09 [1022]~E(x10221,x10222)+E(f549(x10221,x10223,x10224,x10225),f549(x10222,x10223,x10224,x10225))
% 182.43/182.09 [1023]~E(x10231,x10232)+E(f549(x10233,x10231,x10234,x10235),f549(x10233,x10232,x10234,x10235))
% 182.43/182.09 [1024]~E(x10241,x10242)+E(f549(x10243,x10244,x10241,x10245),f549(x10243,x10244,x10242,x10245))
% 182.43/182.09 [1025]~E(x10251,x10252)+E(f549(x10253,x10254,x10255,x10251),f549(x10253,x10254,x10255,x10252))
% 182.43/182.09 [1026]~E(x10261,x10262)+E(f699(x10261,x10263,x10264,x10265,x10266),f699(x10262,x10263,x10264,x10265,x10266))
% 182.43/182.09 [1027]~E(x10271,x10272)+E(f699(x10273,x10271,x10274,x10275,x10276),f699(x10273,x10272,x10274,x10275,x10276))
% 182.43/182.09 [1028]~E(x10281,x10282)+E(f699(x10283,x10284,x10281,x10285,x10286),f699(x10283,x10284,x10282,x10285,x10286))
% 182.43/182.09 [1029]~E(x10291,x10292)+E(f699(x10293,x10294,x10295,x10291,x10296),f699(x10293,x10294,x10295,x10292,x10296))
% 182.43/182.09 [1030]~E(x10301,x10302)+E(f699(x10303,x10304,x10305,x10306,x10301),f699(x10303,x10304,x10305,x10306,x10302))
% 182.43/182.09 [1031]~E(x10311,x10312)+E(f332(x10311,x10313,x10314,x10315),f332(x10312,x10313,x10314,x10315))
% 182.43/182.09 [1032]~E(x10321,x10322)+E(f332(x10323,x10321,x10324,x10325),f332(x10323,x10322,x10324,x10325))
% 182.43/182.09 [1033]~E(x10331,x10332)+E(f332(x10333,x10334,x10331,x10335),f332(x10333,x10334,x10332,x10335))
% 182.43/182.09 [1034]~E(x10341,x10342)+E(f332(x10343,x10344,x10345,x10341),f332(x10343,x10344,x10345,x10342))
% 182.43/182.09 [1035]~E(x10351,x10352)+E(f526(x10351,x10353,x10354),f526(x10352,x10353,x10354))
% 182.43/182.09 [1036]~E(x10361,x10362)+E(f526(x10363,x10361,x10364),f526(x10363,x10362,x10364))
% 182.43/182.09 [1037]~E(x10371,x10372)+E(f526(x10373,x10374,x10371),f526(x10373,x10374,x10372))
% 182.43/182.09 [1038]~E(x10381,x10382)+E(f490(x10381,x10383,x10384,x10385),f490(x10382,x10383,x10384,x10385))
% 182.43/182.09 [1039]~E(x10391,x10392)+E(f490(x10393,x10391,x10394,x10395),f490(x10393,x10392,x10394,x10395))
% 182.43/182.09 [1040]~E(x10401,x10402)+E(f490(x10403,x10404,x10401,x10405),f490(x10403,x10404,x10402,x10405))
% 182.43/182.09 [1041]~E(x10411,x10412)+E(f490(x10413,x10414,x10415,x10411),f490(x10413,x10414,x10415,x10412))
% 182.43/182.09 [1042]~E(x10421,x10422)+E(f351(x10421,x10423),f351(x10422,x10423))
% 182.43/182.09 [1043]~E(x10431,x10432)+E(f351(x10433,x10431),f351(x10433,x10432))
% 182.43/182.09 [1044]~E(x10441,x10442)+E(f579(x10441,x10443,x10444,x10445,x10446),f579(x10442,x10443,x10444,x10445,x10446))
% 182.43/182.09 [1045]~E(x10451,x10452)+E(f579(x10453,x10451,x10454,x10455,x10456),f579(x10453,x10452,x10454,x10455,x10456))
% 182.43/182.09 [1046]~E(x10461,x10462)+E(f579(x10463,x10464,x10461,x10465,x10466),f579(x10463,x10464,x10462,x10465,x10466))
% 182.43/182.09 [1047]~E(x10471,x10472)+E(f579(x10473,x10474,x10475,x10471,x10476),f579(x10473,x10474,x10475,x10472,x10476))
% 182.43/182.09 [1048]~E(x10481,x10482)+E(f579(x10483,x10484,x10485,x10486,x10481),f579(x10483,x10484,x10485,x10486,x10482))
% 182.43/182.09 [1049]~E(x10491,x10492)+E(f199(x10491),f199(x10492))
% 182.43/182.09 [1050]~E(x10501,x10502)+E(f48(x10501,x10503),f48(x10502,x10503))
% 182.43/182.09 [1051]~E(x10511,x10512)+E(f48(x10513,x10511),f48(x10513,x10512))
% 182.43/182.09 [1052]~E(x10521,x10522)+E(f844(x10521,x10523,x10524),f844(x10522,x10523,x10524))
% 182.43/182.09 [1053]~E(x10531,x10532)+E(f844(x10533,x10531,x10534),f844(x10533,x10532,x10534))
% 182.43/182.09 [1054]~E(x10541,x10542)+E(f844(x10543,x10544,x10541),f844(x10543,x10544,x10542))
% 182.43/182.09 [1055]~E(x10551,x10552)+E(f396(x10551,x10553,x10554,x10555),f396(x10552,x10553,x10554,x10555))
% 182.43/182.09 [1056]~E(x10561,x10562)+E(f396(x10563,x10561,x10564,x10565),f396(x10563,x10562,x10564,x10565))
% 182.43/182.09 [1057]~E(x10571,x10572)+E(f396(x10573,x10574,x10571,x10575),f396(x10573,x10574,x10572,x10575))
% 182.43/182.09 [1058]~E(x10581,x10582)+E(f396(x10583,x10584,x10585,x10581),f396(x10583,x10584,x10585,x10582))
% 182.43/182.09 [1059]~E(x10591,x10592)+E(f258(x10591),f258(x10592))
% 182.43/182.09 [1060]~E(x10601,x10602)+E(f581(x10601,x10603),f581(x10602,x10603))
% 182.43/182.09 [1061]~E(x10611,x10612)+E(f581(x10613,x10611),f581(x10613,x10612))
% 182.43/182.09 [1062]~E(x10621,x10622)+E(f539(x10621,x10623,x10624,x10625,x10626,x10627,x10628,x10629),f539(x10622,x10623,x10624,x10625,x10626,x10627,x10628,x10629))
% 182.43/182.09 [1063]~E(x10631,x10632)+E(f539(x10633,x10631,x10634,x10635,x10636,x10637,x10638,x10639),f539(x10633,x10632,x10634,x10635,x10636,x10637,x10638,x10639))
% 182.43/182.09 [1064]~E(x10641,x10642)+E(f539(x10643,x10644,x10641,x10645,x10646,x10647,x10648,x10649),f539(x10643,x10644,x10642,x10645,x10646,x10647,x10648,x10649))
% 182.43/182.09 [1065]~E(x10651,x10652)+E(f539(x10653,x10654,x10655,x10651,x10656,x10657,x10658,x10659),f539(x10653,x10654,x10655,x10652,x10656,x10657,x10658,x10659))
% 182.43/182.09 [1066]~E(x10661,x10662)+E(f539(x10663,x10664,x10665,x10666,x10661,x10667,x10668,x10669),f539(x10663,x10664,x10665,x10666,x10662,x10667,x10668,x10669))
% 182.43/182.09 [1067]~E(x10671,x10672)+E(f539(x10673,x10674,x10675,x10676,x10677,x10671,x10678,x10679),f539(x10673,x10674,x10675,x10676,x10677,x10672,x10678,x10679))
% 182.43/182.09 [1068]~E(x10681,x10682)+E(f539(x10683,x10684,x10685,x10686,x10687,x10688,x10681,x10689),f539(x10683,x10684,x10685,x10686,x10687,x10688,x10682,x10689))
% 182.43/182.09 [1069]~E(x10691,x10692)+E(f539(x10693,x10694,x10695,x10696,x10697,x10698,x10699,x10691),f539(x10693,x10694,x10695,x10696,x10697,x10698,x10699,x10692))
% 182.43/182.09 [1070]~E(x10701,x10702)+E(f639(x10701,x10703,x10704),f639(x10702,x10703,x10704))
% 182.43/182.09 [1071]~E(x10711,x10712)+E(f639(x10713,x10711,x10714),f639(x10713,x10712,x10714))
% 182.43/182.09 [1072]~E(x10721,x10722)+E(f639(x10723,x10724,x10721),f639(x10723,x10724,x10722))
% 182.43/182.09 [1073]~E(x10731,x10732)+E(f283(x10731,x10733),f283(x10732,x10733))
% 182.43/182.09 [1074]~E(x10741,x10742)+E(f283(x10743,x10741),f283(x10743,x10742))
% 182.43/182.09 [1075]~E(x10751,x10752)+E(f804(x10751,x10753,x10754),f804(x10752,x10753,x10754))
% 182.43/182.09 [1076]~E(x10761,x10762)+E(f804(x10763,x10761,x10764),f804(x10763,x10762,x10764))
% 182.43/182.09 [1077]~E(x10771,x10772)+E(f804(x10773,x10774,x10771),f804(x10773,x10774,x10772))
% 182.43/182.09 [1078]~E(x10781,x10782)+E(f530(x10781,x10783,x10784),f530(x10782,x10783,x10784))
% 182.43/182.09 [1079]~E(x10791,x10792)+E(f530(x10793,x10791,x10794),f530(x10793,x10792,x10794))
% 182.43/182.09 [1080]~E(x10801,x10802)+E(f530(x10803,x10804,x10801),f530(x10803,x10804,x10802))
% 182.43/182.09 [1081]~E(x10811,x10812)+E(f154(x10811,x10813,x10814,x10815),f154(x10812,x10813,x10814,x10815))
% 182.43/182.09 [1082]~E(x10821,x10822)+E(f154(x10823,x10821,x10824,x10825),f154(x10823,x10822,x10824,x10825))
% 182.43/182.09 [1083]~E(x10831,x10832)+E(f154(x10833,x10834,x10831,x10835),f154(x10833,x10834,x10832,x10835))
% 182.43/182.09 [1084]~E(x10841,x10842)+E(f154(x10843,x10844,x10845,x10841),f154(x10843,x10844,x10845,x10842))
% 182.43/182.09 [1085]~E(x10851,x10852)+E(f480(x10851,x10853,x10854,x10855),f480(x10852,x10853,x10854,x10855))
% 182.43/182.09 [1086]~E(x10861,x10862)+E(f480(x10863,x10861,x10864,x10865),f480(x10863,x10862,x10864,x10865))
% 182.43/182.09 [1087]~E(x10871,x10872)+E(f480(x10873,x10874,x10871,x10875),f480(x10873,x10874,x10872,x10875))
% 182.43/182.09 [1088]~E(x10881,x10882)+E(f480(x10883,x10884,x10885,x10881),f480(x10883,x10884,x10885,x10882))
% 182.43/182.09 [1089]~E(x10891,x10892)+E(f661(x10891,x10893,x10894,x10895,x10896,x10897,x10898),f661(x10892,x10893,x10894,x10895,x10896,x10897,x10898))
% 182.43/182.09 [1090]~E(x10901,x10902)+E(f661(x10903,x10901,x10904,x10905,x10906,x10907,x10908),f661(x10903,x10902,x10904,x10905,x10906,x10907,x10908))
% 182.43/182.09 [1091]~E(x10911,x10912)+E(f661(x10913,x10914,x10911,x10915,x10916,x10917,x10918),f661(x10913,x10914,x10912,x10915,x10916,x10917,x10918))
% 182.43/182.09 [1092]~E(x10921,x10922)+E(f661(x10923,x10924,x10925,x10921,x10926,x10927,x10928),f661(x10923,x10924,x10925,x10922,x10926,x10927,x10928))
% 182.43/182.09 [1093]~E(x10931,x10932)+E(f661(x10933,x10934,x10935,x10936,x10931,x10937,x10938),f661(x10933,x10934,x10935,x10936,x10932,x10937,x10938))
% 182.43/182.09 [1094]~E(x10941,x10942)+E(f661(x10943,x10944,x10945,x10946,x10947,x10941,x10948),f661(x10943,x10944,x10945,x10946,x10947,x10942,x10948))
% 182.43/182.09 [1095]~E(x10951,x10952)+E(f661(x10953,x10954,x10955,x10956,x10957,x10958,x10951),f661(x10953,x10954,x10955,x10956,x10957,x10958,x10952))
% 182.43/182.09 [1096]~E(x10961,x10962)+E(f614(x10961,x10963),f614(x10962,x10963))
% 182.43/182.09 [1097]~E(x10971,x10972)+E(f614(x10973,x10971),f614(x10973,x10972))
% 182.43/182.09 [1098]~E(x10981,x10982)+E(f651(x10981,x10983,x10984),f651(x10982,x10983,x10984))
% 182.43/182.09 [1099]~E(x10991,x10992)+E(f651(x10993,x10991,x10994),f651(x10993,x10992,x10994))
% 182.43/182.09 [1100]~E(x11001,x11002)+E(f651(x11003,x11004,x11001),f651(x11003,x11004,x11002))
% 182.43/182.09 [1101]~E(x11011,x11012)+E(f263(x11011,x11013),f263(x11012,x11013))
% 182.43/182.09 [1102]~E(x11021,x11022)+E(f263(x11023,x11021),f263(x11023,x11022))
% 182.43/182.09 [1103]~E(x11031,x11032)+E(f637(x11031,x11033,x11034,x11035),f637(x11032,x11033,x11034,x11035))
% 182.43/182.09 [1104]~E(x11041,x11042)+E(f637(x11043,x11041,x11044,x11045),f637(x11043,x11042,x11044,x11045))
% 182.43/182.09 [1105]~E(x11051,x11052)+E(f637(x11053,x11054,x11051,x11055),f637(x11053,x11054,x11052,x11055))
% 182.43/182.09 [1106]~E(x11061,x11062)+E(f637(x11063,x11064,x11065,x11061),f637(x11063,x11064,x11065,x11062))
% 182.43/182.09 [1107]~E(x11071,x11072)+E(f806(x11071,x11073),f806(x11072,x11073))
% 182.43/182.09 [1108]~E(x11081,x11082)+E(f806(x11083,x11081),f806(x11083,x11082))
% 182.43/182.09 [1109]~E(x11091,x11092)+E(f692(x11091,x11093,x11094),f692(x11092,x11093,x11094))
% 182.43/182.09 [1110]~E(x11101,x11102)+E(f692(x11103,x11101,x11104),f692(x11103,x11102,x11104))
% 182.43/182.09 [1111]~E(x11111,x11112)+E(f692(x11113,x11114,x11111),f692(x11113,x11114,x11112))
% 182.43/182.09 [1112]~E(x11121,x11122)+E(f397(x11121,x11123,x11124,x11125,x11126,x11127),f397(x11122,x11123,x11124,x11125,x11126,x11127))
% 182.43/182.09 [1113]~E(x11131,x11132)+E(f397(x11133,x11131,x11134,x11135,x11136,x11137),f397(x11133,x11132,x11134,x11135,x11136,x11137))
% 182.43/182.09 [1114]~E(x11141,x11142)+E(f397(x11143,x11144,x11141,x11145,x11146,x11147),f397(x11143,x11144,x11142,x11145,x11146,x11147))
% 182.43/182.09 [1115]~E(x11151,x11152)+E(f397(x11153,x11154,x11155,x11151,x11156,x11157),f397(x11153,x11154,x11155,x11152,x11156,x11157))
% 182.43/182.09 [1116]~E(x11161,x11162)+E(f397(x11163,x11164,x11165,x11166,x11161,x11167),f397(x11163,x11164,x11165,x11166,x11162,x11167))
% 182.43/182.09 [1117]~E(x11171,x11172)+E(f397(x11173,x11174,x11175,x11176,x11177,x11171),f397(x11173,x11174,x11175,x11176,x11177,x11172))
% 182.43/182.09 [1118]~E(x11181,x11182)+E(f740(x11181,x11183,x11184),f740(x11182,x11183,x11184))
% 182.43/182.09 [1119]~E(x11191,x11192)+E(f740(x11193,x11191,x11194),f740(x11193,x11192,x11194))
% 182.43/182.09 [1120]~E(x11201,x11202)+E(f740(x11203,x11204,x11201),f740(x11203,x11204,x11202))
% 182.43/182.09 [1121]~E(x11211,x11212)+E(f537(x11211,x11213,x11214,x11215,x11216,x11217),f537(x11212,x11213,x11214,x11215,x11216,x11217))
% 182.43/182.09 [1122]~E(x11221,x11222)+E(f537(x11223,x11221,x11224,x11225,x11226,x11227),f537(x11223,x11222,x11224,x11225,x11226,x11227))
% 182.43/182.09 [1123]~E(x11231,x11232)+E(f537(x11233,x11234,x11231,x11235,x11236,x11237),f537(x11233,x11234,x11232,x11235,x11236,x11237))
% 182.43/182.09 [1124]~E(x11241,x11242)+E(f537(x11243,x11244,x11245,x11241,x11246,x11247),f537(x11243,x11244,x11245,x11242,x11246,x11247))
% 182.43/182.09 [1125]~E(x11251,x11252)+E(f537(x11253,x11254,x11255,x11256,x11251,x11257),f537(x11253,x11254,x11255,x11256,x11252,x11257))
% 182.43/182.09 [1126]~E(x11261,x11262)+E(f537(x11263,x11264,x11265,x11266,x11267,x11261),f537(x11263,x11264,x11265,x11266,x11267,x11262))
% 182.43/182.09 [1127]~E(x11271,x11272)+E(f606(x11271,x11273,x11274),f606(x11272,x11273,x11274))
% 182.43/182.09 [1128]~E(x11281,x11282)+E(f606(x11283,x11281,x11284),f606(x11283,x11282,x11284))
% 182.43/182.09 [1129]~E(x11291,x11292)+E(f606(x11293,x11294,x11291),f606(x11293,x11294,x11292))
% 182.43/182.09 [1130]~E(x11301,x11302)+E(f511(x11301,x11303,x11304),f511(x11302,x11303,x11304))
% 182.43/182.09 [1131]~E(x11311,x11312)+E(f511(x11313,x11311,x11314),f511(x11313,x11312,x11314))
% 182.43/182.09 [1132]~E(x11321,x11322)+E(f511(x11323,x11324,x11321),f511(x11323,x11324,x11322))
% 182.43/182.09 [1133]~E(x11331,x11332)+E(f261(x11331,x11333),f261(x11332,x11333))
% 182.43/182.09 [1134]~E(x11341,x11342)+E(f261(x11343,x11341),f261(x11343,x11342))
% 182.43/182.09 [1135]~E(x11351,x11352)+E(f436(x11351,x11353,x11354),f436(x11352,x11353,x11354))
% 182.43/182.09 [1136]~E(x11361,x11362)+E(f436(x11363,x11361,x11364),f436(x11363,x11362,x11364))
% 182.43/182.09 [1137]~E(x11371,x11372)+E(f436(x11373,x11374,x11371),f436(x11373,x11374,x11372))
% 182.43/182.09 [1138]~E(x11381,x11382)+E(f422(x11381,x11383),f422(x11382,x11383))
% 182.43/182.09 [1139]~E(x11391,x11392)+E(f422(x11393,x11391),f422(x11393,x11392))
% 182.43/182.09 [1140]~E(x11401,x11402)+E(f423(x11401,x11403),f423(x11402,x11403))
% 182.43/182.09 [1141]~E(x11411,x11412)+E(f423(x11413,x11411),f423(x11413,x11412))
% 182.43/182.09 [1142]~E(x11421,x11422)+E(f569(x11421,x11423,x11424,x11425,x11426),f569(x11422,x11423,x11424,x11425,x11426))
% 182.43/182.09 [1143]~E(x11431,x11432)+E(f569(x11433,x11431,x11434,x11435,x11436),f569(x11433,x11432,x11434,x11435,x11436))
% 182.43/182.09 [1144]~E(x11441,x11442)+E(f569(x11443,x11444,x11441,x11445,x11446),f569(x11443,x11444,x11442,x11445,x11446))
% 182.43/182.09 [1145]~E(x11451,x11452)+E(f569(x11453,x11454,x11455,x11451,x11456),f569(x11453,x11454,x11455,x11452,x11456))
% 182.43/182.09 [1146]~E(x11461,x11462)+E(f569(x11463,x11464,x11465,x11466,x11461),f569(x11463,x11464,x11465,x11466,x11462))
% 182.43/182.09 [1147]~E(x11471,x11472)+E(f789(x11471),f789(x11472))
% 182.43/182.09 [1148]~E(x11481,x11482)+E(f240(x11481,x11483,x11484),f240(x11482,x11483,x11484))
% 182.43/182.09 [1149]~E(x11491,x11492)+E(f240(x11493,x11491,x11494),f240(x11493,x11492,x11494))
% 182.43/182.09 [1150]~E(x11501,x11502)+E(f240(x11503,x11504,x11501),f240(x11503,x11504,x11502))
% 182.43/182.09 [1151]~E(x11511,x11512)+E(f570(x11511,x11513,x11514),f570(x11512,x11513,x11514))
% 182.43/182.09 [1152]~E(x11521,x11522)+E(f570(x11523,x11521,x11524),f570(x11523,x11522,x11524))
% 182.43/182.09 [1153]~E(x11531,x11532)+E(f570(x11533,x11534,x11531),f570(x11533,x11534,x11532))
% 182.43/182.09 [1154]~E(x11541,x11542)+E(f696(x11541,x11543),f696(x11542,x11543))
% 182.43/182.09 [1155]~E(x11551,x11552)+E(f696(x11553,x11551),f696(x11553,x11552))
% 182.43/182.09 [1156]~E(x11561,x11562)+E(f513(x11561,x11563,x11564,x11565,x11566,x11567,x11568,x11569),f513(x11562,x11563,x11564,x11565,x11566,x11567,x11568,x11569))
% 182.43/182.09 [1157]~E(x11571,x11572)+E(f513(x11573,x11571,x11574,x11575,x11576,x11577,x11578,x11579),f513(x11573,x11572,x11574,x11575,x11576,x11577,x11578,x11579))
% 182.43/182.09 [1158]~E(x11581,x11582)+E(f513(x11583,x11584,x11581,x11585,x11586,x11587,x11588,x11589),f513(x11583,x11584,x11582,x11585,x11586,x11587,x11588,x11589))
% 182.43/182.09 [1159]~E(x11591,x11592)+E(f513(x11593,x11594,x11595,x11591,x11596,x11597,x11598,x11599),f513(x11593,x11594,x11595,x11592,x11596,x11597,x11598,x11599))
% 182.43/182.09 [1160]~E(x11601,x11602)+E(f513(x11603,x11604,x11605,x11606,x11601,x11607,x11608,x11609),f513(x11603,x11604,x11605,x11606,x11602,x11607,x11608,x11609))
% 182.43/182.09 [1161]~E(x11611,x11612)+E(f513(x11613,x11614,x11615,x11616,x11617,x11611,x11618,x11619),f513(x11613,x11614,x11615,x11616,x11617,x11612,x11618,x11619))
% 182.43/182.09 [1162]~E(x11621,x11622)+E(f513(x11623,x11624,x11625,x11626,x11627,x11628,x11621,x11629),f513(x11623,x11624,x11625,x11626,x11627,x11628,x11622,x11629))
% 182.43/182.09 [1163]~E(x11631,x11632)+E(f513(x11633,x11634,x11635,x11636,x11637,x11638,x11639,x11631),f513(x11633,x11634,x11635,x11636,x11637,x11638,x11639,x11632))
% 182.43/182.09 [1164]~E(x11641,x11642)+E(f119(x11641,x11643),f119(x11642,x11643))
% 182.43/182.09 [1165]~E(x11651,x11652)+E(f119(x11653,x11651),f119(x11653,x11652))
% 182.43/182.09 [1166]~E(x11661,x11662)+E(f123(x11661,x11663),f123(x11662,x11663))
% 182.43/182.09 [1167]~E(x11671,x11672)+E(f123(x11673,x11671),f123(x11673,x11672))
% 182.43/182.09 [1168]~E(x11681,x11682)+E(f865(x11681,x11683,x11684),f865(x11682,x11683,x11684))
% 182.43/182.09 [1169]~E(x11691,x11692)+E(f865(x11693,x11691,x11694),f865(x11693,x11692,x11694))
% 182.43/182.09 [1170]~E(x11701,x11702)+E(f865(x11703,x11704,x11701),f865(x11703,x11704,x11702))
% 182.43/182.09 [1171]~E(x11711,x11712)+E(f272(x11711),f272(x11712))
% 182.43/182.09 [1172]~E(x11721,x11722)+E(f756(x11721,x11723,x11724,x11725),f756(x11722,x11723,x11724,x11725))
% 182.43/182.09 [1173]~E(x11731,x11732)+E(f756(x11733,x11731,x11734,x11735),f756(x11733,x11732,x11734,x11735))
% 182.43/182.09 [1174]~E(x11741,x11742)+E(f756(x11743,x11744,x11741,x11745),f756(x11743,x11744,x11742,x11745))
% 182.43/182.09 [1175]~E(x11751,x11752)+E(f756(x11753,x11754,x11755,x11751),f756(x11753,x11754,x11755,x11752))
% 182.43/182.09 [1176]~E(x11761,x11762)+E(f597(x11761,x11763,x11764),f597(x11762,x11763,x11764))
% 182.43/182.09 [1177]~E(x11771,x11772)+E(f597(x11773,x11771,x11774),f597(x11773,x11772,x11774))
% 182.43/182.09 [1178]~E(x11781,x11782)+E(f597(x11783,x11784,x11781),f597(x11783,x11784,x11782))
% 182.43/182.09 [1179]~E(x11791,x11792)+E(f209(x11791,x11793),f209(x11792,x11793))
% 182.43/182.09 [1180]~E(x11801,x11802)+E(f209(x11803,x11801),f209(x11803,x11802))
% 182.43/182.09 [1181]~E(x11811,x11812)+E(f885(x11811,x11813),f885(x11812,x11813))
% 182.43/182.09 [1182]~E(x11821,x11822)+E(f885(x11823,x11821),f885(x11823,x11822))
% 182.43/182.09 [1183]~E(x11831,x11832)+E(f462(x11831,x11833,x11834),f462(x11832,x11833,x11834))
% 182.43/182.09 [1184]~E(x11841,x11842)+E(f462(x11843,x11841,x11844),f462(x11843,x11842,x11844))
% 182.43/182.09 [1185]~E(x11851,x11852)+E(f462(x11853,x11854,x11851),f462(x11853,x11854,x11852))
% 182.43/182.09 [1186]~E(x11861,x11862)+E(f468(x11861,x11863,x11864,x11865),f468(x11862,x11863,x11864,x11865))
% 182.43/182.09 [1187]~E(x11871,x11872)+E(f468(x11873,x11871,x11874,x11875),f468(x11873,x11872,x11874,x11875))
% 182.43/182.09 [1188]~E(x11881,x11882)+E(f468(x11883,x11884,x11881,x11885),f468(x11883,x11884,x11882,x11885))
% 182.43/182.09 [1189]~E(x11891,x11892)+E(f468(x11893,x11894,x11895,x11891),f468(x11893,x11894,x11895,x11892))
% 182.43/182.09 [1190]~E(x11901,x11902)+E(f634(x11901,x11903,x11904),f634(x11902,x11903,x11904))
% 182.43/182.09 [1191]~E(x11911,x11912)+E(f634(x11913,x11911,x11914),f634(x11913,x11912,x11914))
% 182.43/182.09 [1192]~E(x11921,x11922)+E(f634(x11923,x11924,x11921),f634(x11923,x11924,x11922))
% 182.43/182.09 [1193]~E(x11931,x11932)+E(f794(x11931,x11933,x11934,x11935,x11936,x11937),f794(x11932,x11933,x11934,x11935,x11936,x11937))
% 182.43/182.09 [1194]~E(x11941,x11942)+E(f794(x11943,x11941,x11944,x11945,x11946,x11947),f794(x11943,x11942,x11944,x11945,x11946,x11947))
% 182.43/182.09 [1195]~E(x11951,x11952)+E(f794(x11953,x11954,x11951,x11955,x11956,x11957),f794(x11953,x11954,x11952,x11955,x11956,x11957))
% 182.43/182.09 [1196]~E(x11961,x11962)+E(f794(x11963,x11964,x11965,x11961,x11966,x11967),f794(x11963,x11964,x11965,x11962,x11966,x11967))
% 182.43/182.09 [1197]~E(x11971,x11972)+E(f794(x11973,x11974,x11975,x11976,x11971,x11977),f794(x11973,x11974,x11975,x11976,x11972,x11977))
% 182.43/182.09 [1198]~E(x11981,x11982)+E(f794(x11983,x11984,x11985,x11986,x11987,x11981),f794(x11983,x11984,x11985,x11986,x11987,x11982))
% 182.43/182.09 [1199]~E(x11991,x11992)+E(f658(x11991,x11993,x11994,x11995,x11996),f658(x11992,x11993,x11994,x11995,x11996))
% 182.43/182.09 [1200]~E(x12001,x12002)+E(f658(x12003,x12001,x12004,x12005,x12006),f658(x12003,x12002,x12004,x12005,x12006))
% 182.43/182.09 [1201]~E(x12011,x12012)+E(f658(x12013,x12014,x12011,x12015,x12016),f658(x12013,x12014,x12012,x12015,x12016))
% 182.43/182.09 [1202]~E(x12021,x12022)+E(f658(x12023,x12024,x12025,x12021,x12026),f658(x12023,x12024,x12025,x12022,x12026))
% 182.43/182.09 [1203]~E(x12031,x12032)+E(f658(x12033,x12034,x12035,x12036,x12031),f658(x12033,x12034,x12035,x12036,x12032))
% 182.43/182.09 [1204]~E(x12041,x12042)+E(f683(x12041,x12043,x12044),f683(x12042,x12043,x12044))
% 182.43/182.09 [1205]~E(x12051,x12052)+E(f683(x12053,x12051,x12054),f683(x12053,x12052,x12054))
% 182.43/182.09 [1206]~E(x12061,x12062)+E(f683(x12063,x12064,x12061),f683(x12063,x12064,x12062))
% 182.43/182.09 [1207]~E(x12071,x12072)+E(f206(x12071,x12073),f206(x12072,x12073))
% 182.43/182.09 [1208]~E(x12081,x12082)+E(f206(x12083,x12081),f206(x12083,x12082))
% 182.43/182.09 [1209]~E(x12091,x12092)+E(f192(x12091),f192(x12092))
% 182.43/182.09 [1210]~E(x12101,x12102)+E(f120(x12101),f120(x12102))
% 182.43/182.09 [1211]~E(x12111,x12112)+E(f841(x12111,x12113,x12114),f841(x12112,x12113,x12114))
% 182.43/182.09 [1212]~E(x12121,x12122)+E(f841(x12123,x12121,x12124),f841(x12123,x12122,x12124))
% 182.43/182.09 [1213]~E(x12131,x12132)+E(f841(x12133,x12134,x12131),f841(x12133,x12134,x12132))
% 182.43/182.09 [1214]~E(x12141,x12142)+E(f648(x12141,x12143,x12144,x12145),f648(x12142,x12143,x12144,x12145))
% 182.43/182.09 [1215]~E(x12151,x12152)+E(f648(x12153,x12151,x12154,x12155),f648(x12153,x12152,x12154,x12155))
% 182.43/182.09 [1216]~E(x12161,x12162)+E(f648(x12163,x12164,x12161,x12165),f648(x12163,x12164,x12162,x12165))
% 182.43/182.09 [1217]~E(x12171,x12172)+E(f648(x12173,x12174,x12175,x12171),f648(x12173,x12174,x12175,x12172))
% 182.43/182.09 [1218]~E(x12181,x12182)+E(f131(x12181,x12183,x12184),f131(x12182,x12183,x12184))
% 182.43/182.09 [1219]~E(x12191,x12192)+E(f131(x12193,x12191,x12194),f131(x12193,x12192,x12194))
% 182.43/182.09 [1220]~E(x12201,x12202)+E(f131(x12203,x12204,x12201),f131(x12203,x12204,x12202))
% 182.43/182.09 [1221]~E(x12211,x12212)+E(f618(x12211,x12213),f618(x12212,x12213))
% 182.43/182.09 [1222]~E(x12221,x12222)+E(f618(x12223,x12221),f618(x12223,x12222))
% 182.43/182.09 [1223]~E(x12231,x12232)+E(f185(x12231,x12233),f185(x12232,x12233))
% 182.43/182.09 [1224]~E(x12241,x12242)+E(f185(x12243,x12241),f185(x12243,x12242))
% 182.43/182.09 [1225]~E(x12251,x12252)+E(f810(x12251,x12253,x12254,x12255,x12256),f810(x12252,x12253,x12254,x12255,x12256))
% 182.43/182.09 [1226]~E(x12261,x12262)+E(f810(x12263,x12261,x12264,x12265,x12266),f810(x12263,x12262,x12264,x12265,x12266))
% 182.43/182.09 [1227]~E(x12271,x12272)+E(f810(x12273,x12274,x12271,x12275,x12276),f810(x12273,x12274,x12272,x12275,x12276))
% 182.43/182.09 [1228]~E(x12281,x12282)+E(f810(x12283,x12284,x12285,x12281,x12286),f810(x12283,x12284,x12285,x12282,x12286))
% 182.43/182.09 [1229]~E(x12291,x12292)+E(f810(x12293,x12294,x12295,x12296,x12291),f810(x12293,x12294,x12295,x12296,x12292))
% 182.43/182.09 [1230]~E(x12301,x12302)+E(f382(x12301,x12303,x12304,x12305),f382(x12302,x12303,x12304,x12305))
% 182.43/182.09 [1231]~E(x12311,x12312)+E(f382(x12313,x12311,x12314,x12315),f382(x12313,x12312,x12314,x12315))
% 182.43/182.09 [1232]~E(x12321,x12322)+E(f382(x12323,x12324,x12321,x12325),f382(x12323,x12324,x12322,x12325))
% 182.43/182.09 [1233]~E(x12331,x12332)+E(f382(x12333,x12334,x12335,x12331),f382(x12333,x12334,x12335,x12332))
% 182.43/182.09 [1234]~E(x12341,x12342)+E(f821(x12341,x12343,x12344,x12345,x12346,x12347,x12348,x12349),f821(x12342,x12343,x12344,x12345,x12346,x12347,x12348,x12349))
% 182.43/182.09 [1235]~E(x12351,x12352)+E(f821(x12353,x12351,x12354,x12355,x12356,x12357,x12358,x12359),f821(x12353,x12352,x12354,x12355,x12356,x12357,x12358,x12359))
% 182.43/182.09 [1236]~E(x12361,x12362)+E(f821(x12363,x12364,x12361,x12365,x12366,x12367,x12368,x12369),f821(x12363,x12364,x12362,x12365,x12366,x12367,x12368,x12369))
% 182.43/182.09 [1237]~E(x12371,x12372)+E(f821(x12373,x12374,x12375,x12371,x12376,x12377,x12378,x12379),f821(x12373,x12374,x12375,x12372,x12376,x12377,x12378,x12379))
% 182.43/182.09 [1238]~E(x12381,x12382)+E(f821(x12383,x12384,x12385,x12386,x12381,x12387,x12388,x12389),f821(x12383,x12384,x12385,x12386,x12382,x12387,x12388,x12389))
% 182.43/182.09 [1239]~E(x12391,x12392)+E(f821(x12393,x12394,x12395,x12396,x12397,x12391,x12398,x12399),f821(x12393,x12394,x12395,x12396,x12397,x12392,x12398,x12399))
% 182.43/182.09 [1240]~E(x12401,x12402)+E(f821(x12403,x12404,x12405,x12406,x12407,x12408,x12401,x12409),f821(x12403,x12404,x12405,x12406,x12407,x12408,x12402,x12409))
% 182.43/182.09 [1241]~E(x12411,x12412)+E(f821(x12413,x12414,x12415,x12416,x12417,x12418,x12419,x12411),f821(x12413,x12414,x12415,x12416,x12417,x12418,x12419,x12412))
% 182.43/182.09 [1242]~E(x12421,x12422)+E(f540(x12421,x12423,x12424),f540(x12422,x12423,x12424))
% 182.43/182.09 [1243]~E(x12431,x12432)+E(f540(x12433,x12431,x12434),f540(x12433,x12432,x12434))
% 182.43/182.09 [1244]~E(x12441,x12442)+E(f540(x12443,x12444,x12441),f540(x12443,x12444,x12442))
% 182.43/182.09 [1245]~E(x12451,x12452)+E(f562(x12451,x12453),f562(x12452,x12453))
% 182.43/182.09 [1246]~E(x12461,x12462)+E(f562(x12463,x12461),f562(x12463,x12462))
% 182.43/182.09 [1247]~E(x12471,x12472)+E(f675(x12471,x12473,x12474,x12475,x12476),f675(x12472,x12473,x12474,x12475,x12476))
% 182.43/182.09 [1248]~E(x12481,x12482)+E(f675(x12483,x12481,x12484,x12485,x12486),f675(x12483,x12482,x12484,x12485,x12486))
% 182.43/182.09 [1249]~E(x12491,x12492)+E(f675(x12493,x12494,x12491,x12495,x12496),f675(x12493,x12494,x12492,x12495,x12496))
% 182.43/182.09 [1250]~E(x12501,x12502)+E(f675(x12503,x12504,x12505,x12501,x12506),f675(x12503,x12504,x12505,x12502,x12506))
% 182.43/182.09 [1251]~E(x12511,x12512)+E(f675(x12513,x12514,x12515,x12516,x12511),f675(x12513,x12514,x12515,x12516,x12512))
% 182.43/182.09 [1252]~E(x12521,x12522)+E(f388(x12521,x12523,x12524),f388(x12522,x12523,x12524))
% 182.43/182.09 [1253]~E(x12531,x12532)+E(f388(x12533,x12531,x12534),f388(x12533,x12532,x12534))
% 182.43/182.09 [1254]~E(x12541,x12542)+E(f388(x12543,x12544,x12541),f388(x12543,x12544,x12542))
% 182.43/182.09 [1255]~E(x12551,x12552)+E(f623(x12551,x12553,x12554,x12555),f623(x12552,x12553,x12554,x12555))
% 182.43/182.09 [1256]~E(x12561,x12562)+E(f623(x12563,x12561,x12564,x12565),f623(x12563,x12562,x12564,x12565))
% 182.43/182.09 [1257]~E(x12571,x12572)+E(f623(x12573,x12574,x12571,x12575),f623(x12573,x12574,x12572,x12575))
% 182.43/182.09 [1258]~E(x12581,x12582)+E(f623(x12583,x12584,x12585,x12581),f623(x12583,x12584,x12585,x12582))
% 182.43/182.09 [1259]~E(x12591,x12592)+E(f399(x12591,x12593,x12594,x12595),f399(x12592,x12593,x12594,x12595))
% 182.43/182.09 [1260]~E(x12601,x12602)+E(f399(x12603,x12601,x12604,x12605),f399(x12603,x12602,x12604,x12605))
% 182.43/182.09 [1261]~E(x12611,x12612)+E(f399(x12613,x12614,x12611,x12615),f399(x12613,x12614,x12612,x12615))
% 182.43/182.09 [1262]~E(x12621,x12622)+E(f399(x12623,x12624,x12625,x12621),f399(x12623,x12624,x12625,x12622))
% 182.43/182.09 [1263]~E(x12631,x12632)+E(f336(x12631,x12633,x12634,x12635),f336(x12632,x12633,x12634,x12635))
% 182.43/182.09 [1264]~E(x12641,x12642)+E(f336(x12643,x12641,x12644,x12645),f336(x12643,x12642,x12644,x12645))
% 182.43/182.09 [1265]~E(x12651,x12652)+E(f336(x12653,x12654,x12651,x12655),f336(x12653,x12654,x12652,x12655))
% 182.43/182.09 [1266]~E(x12661,x12662)+E(f336(x12663,x12664,x12665,x12661),f336(x12663,x12664,x12665,x12662))
% 182.43/182.09 [1267]~E(x12671,x12672)+E(f599(x12671,x12673,x12674),f599(x12672,x12673,x12674))
% 182.43/182.09 [1268]~E(x12681,x12682)+E(f599(x12683,x12681,x12684),f599(x12683,x12682,x12684))
% 182.43/182.09 [1269]~E(x12691,x12692)+E(f599(x12693,x12694,x12691),f599(x12693,x12694,x12692))
% 182.43/182.09 [1270]~E(x12701,x12702)+E(f260(x12701,x12703),f260(x12702,x12703))
% 182.43/182.09 [1271]~E(x12711,x12712)+E(f260(x12713,x12711),f260(x12713,x12712))
% 182.43/182.09 [1272]~E(x12721,x12722)+E(f113(x12721,x12723,x12724,x12725),f113(x12722,x12723,x12724,x12725))
% 182.43/182.09 [1273]~E(x12731,x12732)+E(f113(x12733,x12731,x12734,x12735),f113(x12733,x12732,x12734,x12735))
% 182.43/182.09 [1274]~E(x12741,x12742)+E(f113(x12743,x12744,x12741,x12745),f113(x12743,x12744,x12742,x12745))
% 182.43/182.09 [1275]~E(x12751,x12752)+E(f113(x12753,x12754,x12755,x12751),f113(x12753,x12754,x12755,x12752))
% 182.43/182.09 [1276]~E(x12761,x12762)+E(f52(x12761),f52(x12762))
% 182.43/182.09 [1277]~E(x12771,x12772)+E(f858(x12771,x12773,x12774,x12775,x12776),f858(x12772,x12773,x12774,x12775,x12776))
% 182.43/182.09 [1278]~E(x12781,x12782)+E(f858(x12783,x12781,x12784,x12785,x12786),f858(x12783,x12782,x12784,x12785,x12786))
% 182.43/182.09 [1279]~E(x12791,x12792)+E(f858(x12793,x12794,x12791,x12795,x12796),f858(x12793,x12794,x12792,x12795,x12796))
% 182.43/182.09 [1280]~E(x12801,x12802)+E(f858(x12803,x12804,x12805,x12801,x12806),f858(x12803,x12804,x12805,x12802,x12806))
% 182.43/182.09 [1281]~E(x12811,x12812)+E(f858(x12813,x12814,x12815,x12816,x12811),f858(x12813,x12814,x12815,x12816,x12812))
% 182.43/182.09 [1282]~E(x12821,x12822)+E(f747(x12821,x12823,x12824),f747(x12822,x12823,x12824))
% 182.43/182.09 [1283]~E(x12831,x12832)+E(f747(x12833,x12831,x12834),f747(x12833,x12832,x12834))
% 182.43/182.09 [1284]~E(x12841,x12842)+E(f747(x12843,x12844,x12841),f747(x12843,x12844,x12842))
% 182.43/182.09 [1285]~E(x12851,x12852)+E(f751(x12851,x12853,x12854,x12855),f751(x12852,x12853,x12854,x12855))
% 182.43/182.09 [1286]~E(x12861,x12862)+E(f751(x12863,x12861,x12864,x12865),f751(x12863,x12862,x12864,x12865))
% 182.43/182.09 [1287]~E(x12871,x12872)+E(f751(x12873,x12874,x12871,x12875),f751(x12873,x12874,x12872,x12875))
% 182.43/182.09 [1288]~E(x12881,x12882)+E(f751(x12883,x12884,x12885,x12881),f751(x12883,x12884,x12885,x12882))
% 182.43/182.09 [1289]~E(x12891,x12892)+E(f348(x12891,x12893,x12894,x12895,x12896),f348(x12892,x12893,x12894,x12895,x12896))
% 182.43/182.09 [1290]~E(x12901,x12902)+E(f348(x12903,x12901,x12904,x12905,x12906),f348(x12903,x12902,x12904,x12905,x12906))
% 182.43/182.09 [1291]~E(x12911,x12912)+E(f348(x12913,x12914,x12911,x12915,x12916),f348(x12913,x12914,x12912,x12915,x12916))
% 182.43/182.09 [1292]~E(x12921,x12922)+E(f348(x12923,x12924,x12925,x12921,x12926),f348(x12923,x12924,x12925,x12922,x12926))
% 182.43/182.09 [1293]~E(x12931,x12932)+E(f348(x12933,x12934,x12935,x12936,x12931),f348(x12933,x12934,x12935,x12936,x12932))
% 182.43/182.09 [1294]~E(x12941,x12942)+E(f390(x12941,x12943,x12944),f390(x12942,x12943,x12944))
% 182.43/182.09 [1295]~E(x12951,x12952)+E(f390(x12953,x12951,x12954),f390(x12953,x12952,x12954))
% 182.43/182.09 [1296]~E(x12961,x12962)+E(f390(x12963,x12964,x12961),f390(x12963,x12964,x12962))
% 182.43/182.09 [1297]~E(x12971,x12972)+E(f268(x12971,x12973,x12974,x12975),f268(x12972,x12973,x12974,x12975))
% 182.43/182.09 [1298]~E(x12981,x12982)+E(f268(x12983,x12981,x12984,x12985),f268(x12983,x12982,x12984,x12985))
% 182.43/182.09 [1299]~E(x12991,x12992)+E(f268(x12993,x12994,x12991,x12995),f268(x12993,x12994,x12992,x12995))
% 182.43/182.09 [1300]~E(x13001,x13002)+E(f268(x13003,x13004,x13005,x13001),f268(x13003,x13004,x13005,x13002))
% 182.43/182.09 [1301]~E(x13011,x13012)+E(f264(x13011,x13013,x13014,x13015),f264(x13012,x13013,x13014,x13015))
% 182.43/182.09 [1302]~E(x13021,x13022)+E(f264(x13023,x13021,x13024,x13025),f264(x13023,x13022,x13024,x13025))
% 182.43/182.09 [1303]~E(x13031,x13032)+E(f264(x13033,x13034,x13031,x13035),f264(x13033,x13034,x13032,x13035))
% 182.43/182.09 [1304]~E(x13041,x13042)+E(f264(x13043,x13044,x13045,x13041),f264(x13043,x13044,x13045,x13042))
% 182.43/182.09 [1305]~E(x13051,x13052)+E(f122(x13051,x13053,x13054,x13055),f122(x13052,x13053,x13054,x13055))
% 182.43/182.09 [1306]~E(x13061,x13062)+E(f122(x13063,x13061,x13064,x13065),f122(x13063,x13062,x13064,x13065))
% 182.43/182.09 [1307]~E(x13071,x13072)+E(f122(x13073,x13074,x13071,x13075),f122(x13073,x13074,x13072,x13075))
% 182.43/182.09 [1308]~E(x13081,x13082)+E(f122(x13083,x13084,x13085,x13081),f122(x13083,x13084,x13085,x13082))
% 182.43/182.09 [1309]~E(x13091,x13092)+E(f820(x13091,x13093,x13094,x13095,x13096,x13097,x13098,x13099),f820(x13092,x13093,x13094,x13095,x13096,x13097,x13098,x13099))
% 182.43/182.09 [1310]~E(x13101,x13102)+E(f820(x13103,x13101,x13104,x13105,x13106,x13107,x13108,x13109),f820(x13103,x13102,x13104,x13105,x13106,x13107,x13108,x13109))
% 182.43/182.09 [1311]~E(x13111,x13112)+E(f820(x13113,x13114,x13111,x13115,x13116,x13117,x13118,x13119),f820(x13113,x13114,x13112,x13115,x13116,x13117,x13118,x13119))
% 182.43/182.09 [1312]~E(x13121,x13122)+E(f820(x13123,x13124,x13125,x13121,x13126,x13127,x13128,x13129),f820(x13123,x13124,x13125,x13122,x13126,x13127,x13128,x13129))
% 182.43/182.09 [1313]~E(x13131,x13132)+E(f820(x13133,x13134,x13135,x13136,x13131,x13137,x13138,x13139),f820(x13133,x13134,x13135,x13136,x13132,x13137,x13138,x13139))
% 182.43/182.09 [1314]~E(x13141,x13142)+E(f820(x13143,x13144,x13145,x13146,x13147,x13141,x13148,x13149),f820(x13143,x13144,x13145,x13146,x13147,x13142,x13148,x13149))
% 182.43/182.09 [1315]~E(x13151,x13152)+E(f820(x13153,x13154,x13155,x13156,x13157,x13158,x13151,x13159),f820(x13153,x13154,x13155,x13156,x13157,x13158,x13152,x13159))
% 182.43/182.09 [1316]~E(x13161,x13162)+E(f820(x13163,x13164,x13165,x13166,x13167,x13168,x13169,x13161),f820(x13163,x13164,x13165,x13166,x13167,x13168,x13169,x13162))
% 182.43/182.09 [1317]~E(x13171,x13172)+E(f367(x13171),f367(x13172))
% 182.43/182.09 [1318]~E(x13181,x13182)+E(f527(x13181,x13183),f527(x13182,x13183))
% 182.43/182.09 [1319]~E(x13191,x13192)+E(f527(x13193,x13191),f527(x13193,x13192))
% 182.43/182.09 [1320]~E(x13201,x13202)+E(f575(x13201,x13203,x13204,x13205,x13206),f575(x13202,x13203,x13204,x13205,x13206))
% 182.43/182.09 [1321]~E(x13211,x13212)+E(f575(x13213,x13211,x13214,x13215,x13216),f575(x13213,x13212,x13214,x13215,x13216))
% 182.43/182.09 [1322]~E(x13221,x13222)+E(f575(x13223,x13224,x13221,x13225,x13226),f575(x13223,x13224,x13222,x13225,x13226))
% 182.43/182.09 [1323]~E(x13231,x13232)+E(f575(x13233,x13234,x13235,x13231,x13236),f575(x13233,x13234,x13235,x13232,x13236))
% 182.43/182.09 [1324]~E(x13241,x13242)+E(f575(x13243,x13244,x13245,x13246,x13241),f575(x13243,x13244,x13245,x13246,x13242))
% 182.43/182.09 [1325]~E(x13251,x13252)+E(f797(x13251,x13253),f797(x13252,x13253))
% 182.43/182.09 [1326]~E(x13261,x13262)+E(f797(x13263,x13261),f797(x13263,x13262))
% 182.43/182.09 [1327]~E(x13271,x13272)+E(f187(x13271,x13273,x13274,x13275),f187(x13272,x13273,x13274,x13275))
% 182.43/182.09 [1328]~E(x13281,x13282)+E(f187(x13283,x13281,x13284,x13285),f187(x13283,x13282,x13284,x13285))
% 182.43/182.09 [1329]~E(x13291,x13292)+E(f187(x13293,x13294,x13291,x13295),f187(x13293,x13294,x13292,x13295))
% 182.43/182.09 [1330]~E(x13301,x13302)+E(f187(x13303,x13304,x13305,x13301),f187(x13303,x13304,x13305,x13302))
% 182.43/182.09 [1331]~E(x13311,x13312)+E(f194(x13311,x13313,x13314),f194(x13312,x13313,x13314))
% 182.43/182.09 [1332]~E(x13321,x13322)+E(f194(x13323,x13321,x13324),f194(x13323,x13322,x13324))
% 182.43/182.09 [1333]~E(x13331,x13332)+E(f194(x13333,x13334,x13331),f194(x13333,x13334,x13332))
% 182.43/182.09 [1334]~E(x13341,x13342)+E(f542(x13341,x13343,x13344),f542(x13342,x13343,x13344))
% 182.43/182.09 [1335]~E(x13351,x13352)+E(f542(x13353,x13351,x13354),f542(x13353,x13352,x13354))
% 182.43/182.09 [1336]~E(x13361,x13362)+E(f542(x13363,x13364,x13361),f542(x13363,x13364,x13362))
% 182.43/182.09 [1337]~E(x13371,x13372)+E(f463(x13371,x13373,x13374),f463(x13372,x13373,x13374))
% 182.43/182.09 [1338]~E(x13381,x13382)+E(f463(x13383,x13381,x13384),f463(x13383,x13382,x13384))
% 182.43/182.09 [1339]~E(x13391,x13392)+E(f463(x13393,x13394,x13391),f463(x13393,x13394,x13392))
% 182.43/182.09 [1340]~E(x13401,x13402)+E(f839(x13401,x13403,x13404),f839(x13402,x13403,x13404))
% 182.43/182.09 [1341]~E(x13411,x13412)+E(f839(x13413,x13411,x13414),f839(x13413,x13412,x13414))
% 182.43/182.09 [1342]~E(x13421,x13422)+E(f839(x13423,x13424,x13421),f839(x13423,x13424,x13422))
% 182.43/182.09 [1343]~E(x13431,x13432)+E(f656(x13431,x13433,x13434,x13435),f656(x13432,x13433,x13434,x13435))
% 182.43/182.09 [1344]~E(x13441,x13442)+E(f656(x13443,x13441,x13444,x13445),f656(x13443,x13442,x13444,x13445))
% 182.43/182.09 [1345]~E(x13451,x13452)+E(f656(x13453,x13454,x13451,x13455),f656(x13453,x13454,x13452,x13455))
% 182.43/182.09 [1346]~E(x13461,x13462)+E(f656(x13463,x13464,x13465,x13461),f656(x13463,x13464,x13465,x13462))
% 182.43/182.09 [1347]~E(x13471,x13472)+E(f171(x13471),f171(x13472))
% 182.43/182.09 [1348]~E(x13481,x13482)+E(f773(x13481,x13483),f773(x13482,x13483))
% 182.43/182.09 [1349]~E(x13491,x13492)+E(f773(x13493,x13491),f773(x13493,x13492))
% 182.43/182.09 [1350]~E(x13501,x13502)+E(f673(x13501,x13503,x13504),f673(x13502,x13503,x13504))
% 182.43/182.09 [1351]~E(x13511,x13512)+E(f673(x13513,x13511,x13514),f673(x13513,x13512,x13514))
% 182.43/182.09 [1352]~E(x13521,x13522)+E(f673(x13523,x13524,x13521),f673(x13523,x13524,x13522))
% 182.43/182.09 [1353]~E(x13531,x13532)+E(f860(x13531,x13533,x13534,x13535,x13536),f860(x13532,x13533,x13534,x13535,x13536))
% 182.43/182.09 [1354]~E(x13541,x13542)+E(f860(x13543,x13541,x13544,x13545,x13546),f860(x13543,x13542,x13544,x13545,x13546))
% 182.43/182.09 [1355]~E(x13551,x13552)+E(f860(x13553,x13554,x13551,x13555,x13556),f860(x13553,x13554,x13552,x13555,x13556))
% 182.43/182.09 [1356]~E(x13561,x13562)+E(f860(x13563,x13564,x13565,x13561,x13566),f860(x13563,x13564,x13565,x13562,x13566))
% 182.43/182.09 [1357]~E(x13571,x13572)+E(f860(x13573,x13574,x13575,x13576,x13571),f860(x13573,x13574,x13575,x13576,x13572))
% 182.43/182.09 [1358]~E(x13581,x13582)+E(f323(x13581),f323(x13582))
% 182.43/182.09 [1359]~E(x13591,x13592)+E(f331(x13591,x13593,x13594,x13595),f331(x13592,x13593,x13594,x13595))
% 182.43/182.09 [1360]~E(x13601,x13602)+E(f331(x13603,x13601,x13604,x13605),f331(x13603,x13602,x13604,x13605))
% 182.43/182.09 [1361]~E(x13611,x13612)+E(f331(x13613,x13614,x13611,x13615),f331(x13613,x13614,x13612,x13615))
% 182.43/182.09 [1362]~E(x13621,x13622)+E(f331(x13623,x13624,x13625,x13621),f331(x13623,x13624,x13625,x13622))
% 182.43/182.09 [1363]~E(x13631,x13632)+E(f329(x13631,x13633,x13634),f329(x13632,x13633,x13634))
% 182.43/182.09 [1364]~E(x13641,x13642)+E(f329(x13643,x13641,x13644),f329(x13643,x13642,x13644))
% 182.43/182.09 [1365]~E(x13651,x13652)+E(f329(x13653,x13654,x13651),f329(x13653,x13654,x13652))
% 182.43/182.09 [1366]~E(x13661,x13662)+E(f205(x13661,x13663),f205(x13662,x13663))
% 182.43/182.09 [1367]~E(x13671,x13672)+E(f205(x13673,x13671),f205(x13673,x13672))
% 182.43/182.09 [1368]~E(x13681,x13682)+E(f571(x13681,x13683),f571(x13682,x13683))
% 182.43/182.09 [1369]~E(x13691,x13692)+E(f571(x13693,x13691),f571(x13693,x13692))
% 182.43/182.09 [1370]~E(x13701,x13702)+E(f567(x13701,x13703,x13704,x13705,x13706),f567(x13702,x13703,x13704,x13705,x13706))
% 182.43/182.09 [1371]~E(x13711,x13712)+E(f567(x13713,x13711,x13714,x13715,x13716),f567(x13713,x13712,x13714,x13715,x13716))
% 182.43/182.09 [1372]~E(x13721,x13722)+E(f567(x13723,x13724,x13721,x13725,x13726),f567(x13723,x13724,x13722,x13725,x13726))
% 182.43/182.09 [1373]~E(x13731,x13732)+E(f567(x13733,x13734,x13735,x13731,x13736),f567(x13733,x13734,x13735,x13732,x13736))
% 182.43/182.09 [1374]~E(x13741,x13742)+E(f567(x13743,x13744,x13745,x13746,x13741),f567(x13743,x13744,x13745,x13746,x13742))
% 182.43/182.09 [1375]~E(x13751,x13752)+E(f257(x13751,x13753),f257(x13752,x13753))
% 182.43/182.09 [1376]~E(x13761,x13762)+E(f257(x13763,x13761),f257(x13763,x13762))
% 182.43/182.09 [1377]~E(x13771,x13772)+E(f326(x13771),f326(x13772))
% 182.43/182.09 [1378]~E(x13781,x13782)+E(f590(x13781,x13783,x13784,x13785,x13786),f590(x13782,x13783,x13784,x13785,x13786))
% 182.43/182.09 [1379]~E(x13791,x13792)+E(f590(x13793,x13791,x13794,x13795,x13796),f590(x13793,x13792,x13794,x13795,x13796))
% 182.43/182.09 [1380]~E(x13801,x13802)+E(f590(x13803,x13804,x13801,x13805,x13806),f590(x13803,x13804,x13802,x13805,x13806))
% 182.43/182.09 [1381]~E(x13811,x13812)+E(f590(x13813,x13814,x13815,x13811,x13816),f590(x13813,x13814,x13815,x13812,x13816))
% 182.43/182.09 [1382]~E(x13821,x13822)+E(f590(x13823,x13824,x13825,x13826,x13821),f590(x13823,x13824,x13825,x13826,x13822))
% 182.43/182.09 [1383]~E(x13831,x13832)+E(f117(x13831,x13833,x13834),f117(x13832,x13833,x13834))
% 182.43/182.09 [1384]~E(x13841,x13842)+E(f117(x13843,x13841,x13844),f117(x13843,x13842,x13844))
% 182.43/182.09 [1385]~E(x13851,x13852)+E(f117(x13853,x13854,x13851),f117(x13853,x13854,x13852))
% 182.43/182.09 [1386]~E(x13861,x13862)+E(f509(x13861,x13863,x13864,x13865,x13866,x13867),f509(x13862,x13863,x13864,x13865,x13866,x13867))
% 182.43/182.09 [1387]~E(x13871,x13872)+E(f509(x13873,x13871,x13874,x13875,x13876,x13877),f509(x13873,x13872,x13874,x13875,x13876,x13877))
% 182.43/182.09 [1388]~E(x13881,x13882)+E(f509(x13883,x13884,x13881,x13885,x13886,x13887),f509(x13883,x13884,x13882,x13885,x13886,x13887))
% 182.43/182.09 [1389]~E(x13891,x13892)+E(f509(x13893,x13894,x13895,x13891,x13896,x13897),f509(x13893,x13894,x13895,x13892,x13896,x13897))
% 182.43/182.09 [1390]~E(x13901,x13902)+E(f509(x13903,x13904,x13905,x13906,x13901,x13907),f509(x13903,x13904,x13905,x13906,x13902,x13907))
% 182.43/182.09 [1391]~E(x13911,x13912)+E(f509(x13913,x13914,x13915,x13916,x13917,x13911),f509(x13913,x13914,x13915,x13916,x13917,x13912))
% 182.43/182.09 [1392]~E(x13921,x13922)+E(f641(x13921,x13923,x13924),f641(x13922,x13923,x13924))
% 182.43/182.09 [1393]~E(x13931,x13932)+E(f641(x13933,x13931,x13934),f641(x13933,x13932,x13934))
% 182.43/182.09 [1394]~E(x13941,x13942)+E(f641(x13943,x13944,x13941),f641(x13943,x13944,x13942))
% 182.43/182.09 [1395]~E(x13951,x13952)+E(f504(x13951,x13953,x13954,x13955),f504(x13952,x13953,x13954,x13955))
% 182.43/182.09 [1396]~E(x13961,x13962)+E(f504(x13963,x13961,x13964,x13965),f504(x13963,x13962,x13964,x13965))
% 182.43/182.09 [1397]~E(x13971,x13972)+E(f504(x13973,x13974,x13971,x13975),f504(x13973,x13974,x13972,x13975))
% 182.43/182.09 [1398]~E(x13981,x13982)+E(f504(x13983,x13984,x13985,x13981),f504(x13983,x13984,x13985,x13982))
% 182.43/182.09 [1399]~E(x13991,x13992)+E(f384(x13991,x13993,x13994),f384(x13992,x13993,x13994))
% 182.43/182.09 [1400]~E(x14001,x14002)+E(f384(x14003,x14001,x14004),f384(x14003,x14002,x14004))
% 182.43/182.09 [1401]~E(x14011,x14012)+E(f384(x14013,x14014,x14011),f384(x14013,x14014,x14012))
% 182.43/182.09 [1402]~E(x14021,x14022)+E(f655(x14021,x14023,x14024),f655(x14022,x14023,x14024))
% 182.43/182.09 [1403]~E(x14031,x14032)+E(f655(x14033,x14031,x14034),f655(x14033,x14032,x14034))
% 182.43/182.09 [1404]~E(x14041,x14042)+E(f655(x14043,x14044,x14041),f655(x14043,x14044,x14042))
% 182.43/182.09 [1405]~E(x14051,x14052)+E(f461(x14051,x14053,x14054),f461(x14052,x14053,x14054))
% 182.43/182.09 [1406]~E(x14061,x14062)+E(f461(x14063,x14061,x14064),f461(x14063,x14062,x14064))
% 182.43/182.09 [1407]~E(x14071,x14072)+E(f461(x14073,x14074,x14071),f461(x14073,x14074,x14072))
% 182.43/182.09 [1408]~E(x14081,x14082)+E(f838(x14081,x14083,x14084,x14085,x14086,x14087),f838(x14082,x14083,x14084,x14085,x14086,x14087))
% 182.43/182.09 [1409]~E(x14091,x14092)+E(f838(x14093,x14091,x14094,x14095,x14096,x14097),f838(x14093,x14092,x14094,x14095,x14096,x14097))
% 182.43/182.09 [1410]~E(x14101,x14102)+E(f838(x14103,x14104,x14101,x14105,x14106,x14107),f838(x14103,x14104,x14102,x14105,x14106,x14107))
% 182.43/182.09 [1411]~E(x14111,x14112)+E(f838(x14113,x14114,x14115,x14111,x14116,x14117),f838(x14113,x14114,x14115,x14112,x14116,x14117))
% 182.43/182.09 [1412]~E(x14121,x14122)+E(f838(x14123,x14124,x14125,x14126,x14121,x14127),f838(x14123,x14124,x14125,x14126,x14122,x14127))
% 182.43/182.09 [1413]~E(x14131,x14132)+E(f838(x14133,x14134,x14135,x14136,x14137,x14131),f838(x14133,x14134,x14135,x14136,x14137,x14132))
% 182.43/182.09 [1414]~E(x14141,x14142)+E(f395(x14141,x14143),f395(x14142,x14143))
% 182.43/182.09 [1415]~E(x14151,x14152)+E(f395(x14153,x14151),f395(x14153,x14152))
% 182.43/182.09 [1416]~E(x14161,x14162)+E(f632(x14161,x14163,x14164,x14165,x14166),f632(x14162,x14163,x14164,x14165,x14166))
% 182.43/182.09 [1417]~E(x14171,x14172)+E(f632(x14173,x14171,x14174,x14175,x14176),f632(x14173,x14172,x14174,x14175,x14176))
% 182.43/182.09 [1418]~E(x14181,x14182)+E(f632(x14183,x14184,x14181,x14185,x14186),f632(x14183,x14184,x14182,x14185,x14186))
% 182.43/182.09 [1419]~E(x14191,x14192)+E(f632(x14193,x14194,x14195,x14191,x14196),f632(x14193,x14194,x14195,x14192,x14196))
% 182.43/182.09 [1420]~E(x14201,x14202)+E(f632(x14203,x14204,x14205,x14206,x14201),f632(x14203,x14204,x14205,x14206,x14202))
% 182.43/182.09 [1421]~E(x14211,x14212)+E(f787(x14211),f787(x14212))
% 182.43/182.09 [1422]~E(x14221,x14222)+E(f50(x14221,x14223,x14224),f50(x14222,x14223,x14224))
% 182.43/182.09 [1423]~E(x14231,x14232)+E(f50(x14233,x14231,x14234),f50(x14233,x14232,x14234))
% 182.43/182.09 [1424]~E(x14241,x14242)+E(f50(x14243,x14244,x14241),f50(x14243,x14244,x14242))
% 182.43/182.09 [1425]~E(x14251,x14252)+E(f238(x14251,x14253,x14254),f238(x14252,x14253,x14254))
% 182.43/182.09 [1426]~E(x14261,x14262)+E(f238(x14263,x14261,x14264),f238(x14263,x14262,x14264))
% 182.43/182.09 [1427]~E(x14271,x14272)+E(f238(x14273,x14274,x14271),f238(x14273,x14274,x14272))
% 182.43/182.09 [1428]~E(x14281,x14282)+E(f446(x14281,x14283,x14284),f446(x14282,x14283,x14284))
% 182.43/182.09 [1429]~E(x14291,x14292)+E(f446(x14293,x14291,x14294),f446(x14293,x14292,x14294))
% 182.43/182.09 [1430]~E(x14301,x14302)+E(f446(x14303,x14304,x14301),f446(x14303,x14304,x14302))
% 182.43/182.09 [1431]~E(x14311,x14312)+E(f137(x14311,x14313),f137(x14312,x14313))
% 182.43/182.09 [1432]~E(x14321,x14322)+E(f137(x14323,x14321),f137(x14323,x14322))
% 182.43/182.09 [1433]~E(x14331,x14332)+E(f739(x14331,x14333,x14334),f739(x14332,x14333,x14334))
% 182.43/182.09 [1434]~E(x14341,x14342)+E(f739(x14343,x14341,x14344),f739(x14343,x14342,x14344))
% 182.43/182.09 [1435]~E(x14351,x14352)+E(f739(x14353,x14354,x14351),f739(x14353,x14354,x14352))
% 182.43/182.09 [1436]~E(x14361,x14362)+E(f532(x14361,x14363,x14364,x14365),f532(x14362,x14363,x14364,x14365))
% 182.43/182.09 [1437]~E(x14371,x14372)+E(f532(x14373,x14371,x14374,x14375),f532(x14373,x14372,x14374,x14375))
% 182.43/182.09 [1438]~E(x14381,x14382)+E(f532(x14383,x14384,x14381,x14385),f532(x14383,x14384,x14382,x14385))
% 182.43/182.09 [1439]~E(x14391,x14392)+E(f532(x14393,x14394,x14395,x14391),f532(x14393,x14394,x14395,x14392))
% 182.43/182.09 [1440]~E(x14401,x14402)+E(f505(x14401,x14403,x14404,x14405),f505(x14402,x14403,x14404,x14405))
% 182.43/182.09 [1441]~E(x14411,x14412)+E(f505(x14413,x14411,x14414,x14415),f505(x14413,x14412,x14414,x14415))
% 182.43/182.09 [1442]~E(x14421,x14422)+E(f505(x14423,x14424,x14421,x14425),f505(x14423,x14424,x14422,x14425))
% 182.43/182.09 [1443]~E(x14431,x14432)+E(f505(x14433,x14434,x14435,x14431),f505(x14433,x14434,x14435,x14432))
% 182.43/182.09 [1444]~E(x14441,x14442)+E(f405(x14441,x14443,x14444,x14445),f405(x14442,x14443,x14444,x14445))
% 182.43/182.09 [1445]~E(x14451,x14452)+E(f405(x14453,x14451,x14454,x14455),f405(x14453,x14452,x14454,x14455))
% 182.43/182.09 [1446]~E(x14461,x14462)+E(f405(x14463,x14464,x14461,x14465),f405(x14463,x14464,x14462,x14465))
% 182.43/182.09 [1447]~E(x14471,x14472)+E(f405(x14473,x14474,x14475,x14471),f405(x14473,x14474,x14475,x14472))
% 182.43/182.09 [1448]~E(x14481,x14482)+E(f605(x14481,x14483,x14484),f605(x14482,x14483,x14484))
% 182.43/182.09 [1449]~E(x14491,x14492)+E(f605(x14493,x14491,x14494),f605(x14493,x14492,x14494))
% 182.43/182.09 [1450]~E(x14501,x14502)+E(f605(x14503,x14504,x14501),f605(x14503,x14504,x14502))
% 182.43/182.09 [1451]~E(x14511,x14512)+E(f354(x14511,x14513,x14514,x14515),f354(x14512,x14513,x14514,x14515))
% 182.43/182.09 [1452]~E(x14521,x14522)+E(f354(x14523,x14521,x14524,x14525),f354(x14523,x14522,x14524,x14525))
% 182.43/182.09 [1453]~E(x14531,x14532)+E(f354(x14533,x14534,x14531,x14535),f354(x14533,x14534,x14532,x14535))
% 182.43/182.09 [1454]~E(x14541,x14542)+E(f354(x14543,x14544,x14545,x14541),f354(x14543,x14544,x14545,x14542))
% 182.43/182.09 [1455]~E(x14551,x14552)+E(f782(x14551,x14553),f782(x14552,x14553))
% 182.43/182.09 [1456]~E(x14561,x14562)+E(f782(x14563,x14561),f782(x14563,x14562))
% 182.43/182.09 [1457]~E(x14571,x14572)+E(f364(x14571,x14573,x14574),f364(x14572,x14573,x14574))
% 182.43/182.09 [1458]~E(x14581,x14582)+E(f364(x14583,x14581,x14584),f364(x14583,x14582,x14584))
% 182.43/182.09 [1459]~E(x14591,x14592)+E(f364(x14593,x14594,x14591),f364(x14593,x14594,x14592))
% 182.43/182.09 [1460]~E(x14601,x14602)+E(f660(x14601,x14603,x14604,x14605,x14606),f660(x14602,x14603,x14604,x14605,x14606))
% 182.43/182.09 [1461]~E(x14611,x14612)+E(f660(x14613,x14611,x14614,x14615,x14616),f660(x14613,x14612,x14614,x14615,x14616))
% 182.43/182.09 [1462]~E(x14621,x14622)+E(f660(x14623,x14624,x14621,x14625,x14626),f660(x14623,x14624,x14622,x14625,x14626))
% 182.43/182.09 [1463]~E(x14631,x14632)+E(f660(x14633,x14634,x14635,x14631,x14636),f660(x14633,x14634,x14635,x14632,x14636))
% 182.43/182.09 [1464]~E(x14641,x14642)+E(f660(x14643,x14644,x14645,x14646,x14641),f660(x14643,x14644,x14645,x14646,x14642))
% 182.43/182.09 [1465]~E(x14651,x14652)+E(f730(x14651,x14653),f730(x14652,x14653))
% 182.43/182.09 [1466]~E(x14661,x14662)+E(f730(x14663,x14661),f730(x14663,x14662))
% 182.43/182.09 [1467]~E(x14671,x14672)+E(f337(x14671,x14673,x14674,x14675),f337(x14672,x14673,x14674,x14675))
% 182.43/182.09 [1468]~E(x14681,x14682)+E(f337(x14683,x14681,x14684,x14685),f337(x14683,x14682,x14684,x14685))
% 182.43/182.09 [1469]~E(x14691,x14692)+E(f337(x14693,x14694,x14691,x14695),f337(x14693,x14694,x14692,x14695))
% 182.43/182.09 [1470]~E(x14701,x14702)+E(f337(x14703,x14704,x14705,x14701),f337(x14703,x14704,x14705,x14702))
% 182.43/182.09 [1471]~E(x14711,x14712)+E(f616(x14711,x14713,x14714),f616(x14712,x14713,x14714))
% 182.43/182.09 [1472]~E(x14721,x14722)+E(f616(x14723,x14721,x14724),f616(x14723,x14722,x14724))
% 182.43/182.09 [1473]~E(x14731,x14732)+E(f616(x14733,x14734,x14731),f616(x14733,x14734,x14732))
% 182.43/182.09 [1474]~E(x14741,x14742)+E(f196(x14741,x14743,x14744,x14745),f196(x14742,x14743,x14744,x14745))
% 182.43/182.09 [1475]~E(x14751,x14752)+E(f196(x14753,x14751,x14754,x14755),f196(x14753,x14752,x14754,x14755))
% 182.43/182.09 [1476]~E(x14761,x14762)+E(f196(x14763,x14764,x14761,x14765),f196(x14763,x14764,x14762,x14765))
% 182.43/182.09 [1477]~E(x14771,x14772)+E(f196(x14773,x14774,x14775,x14771),f196(x14773,x14774,x14775,x14772))
% 182.43/182.09 [1478]~E(x14781,x14782)+E(f868(x14781,x14783),f868(x14782,x14783))
% 182.43/182.09 [1479]~E(x14791,x14792)+E(f868(x14793,x14791),f868(x14793,x14792))
% 182.43/182.09 [1480]~E(x14801,x14802)+E(f428(x14801,x14803,x14804,x14805),f428(x14802,x14803,x14804,x14805))
% 182.43/182.09 [1481]~E(x14811,x14812)+E(f428(x14813,x14811,x14814,x14815),f428(x14813,x14812,x14814,x14815))
% 182.43/182.09 [1482]~E(x14821,x14822)+E(f428(x14823,x14824,x14821,x14825),f428(x14823,x14824,x14822,x14825))
% 182.43/182.09 [1483]~E(x14831,x14832)+E(f428(x14833,x14834,x14835,x14831),f428(x14833,x14834,x14835,x14832))
% 182.43/182.09 [1484]~E(x14841,x14842)+E(f560(x14841,x14843),f560(x14842,x14843))
% 182.43/182.09 [1485]~E(x14851,x14852)+E(f560(x14853,x14851),f560(x14853,x14852))
% 182.43/182.09 [1486]~E(x14861,x14862)+E(f507(x14861,x14863,x14864,x14865,x14866,x14867),f507(x14862,x14863,x14864,x14865,x14866,x14867))
% 182.43/182.09 [1487]~E(x14871,x14872)+E(f507(x14873,x14871,x14874,x14875,x14876,x14877),f507(x14873,x14872,x14874,x14875,x14876,x14877))
% 182.43/182.09 [1488]~E(x14881,x14882)+E(f507(x14883,x14884,x14881,x14885,x14886,x14887),f507(x14883,x14884,x14882,x14885,x14886,x14887))
% 182.43/182.09 [1489]~E(x14891,x14892)+E(f507(x14893,x14894,x14895,x14891,x14896,x14897),f507(x14893,x14894,x14895,x14892,x14896,x14897))
% 182.43/182.09 [1490]~E(x14901,x14902)+E(f507(x14903,x14904,x14905,x14906,x14901,x14907),f507(x14903,x14904,x14905,x14906,x14902,x14907))
% 182.43/182.09 [1491]~E(x14911,x14912)+E(f507(x14913,x14914,x14915,x14916,x14917,x14911),f507(x14913,x14914,x14915,x14916,x14917,x14912))
% 182.43/182.09 [1492]~E(x14921,x14922)+E(f635(x14921,x14923,x14924,x14925),f635(x14922,x14923,x14924,x14925))
% 182.43/182.09 [1493]~E(x14931,x14932)+E(f635(x14933,x14931,x14934,x14935),f635(x14933,x14932,x14934,x14935))
% 182.43/182.09 [1494]~E(x14941,x14942)+E(f635(x14943,x14944,x14941,x14945),f635(x14943,x14944,x14942,x14945))
% 182.43/182.09 [1495]~E(x14951,x14952)+E(f635(x14953,x14954,x14955,x14951),f635(x14953,x14954,x14955,x14952))
% 182.43/182.09 [1496]~E(x14961,x14962)+E(f738(x14961,x14963,x14964),f738(x14962,x14963,x14964))
% 182.43/182.09 [1497]~E(x14971,x14972)+E(f738(x14973,x14971,x14974),f738(x14973,x14972,x14974))
% 182.43/182.09 [1498]~E(x14981,x14982)+E(f738(x14983,x14984,x14981),f738(x14983,x14984,x14982))
% 182.43/182.09 [1499]~E(x14991,x14992)+E(f640(x14991,x14993,x14994,x14995),f640(x14992,x14993,x14994,x14995))
% 182.43/182.09 [1500]~E(x15001,x15002)+E(f640(x15003,x15001,x15004,x15005),f640(x15003,x15002,x15004,x15005))
% 182.43/182.09 [1501]~E(x15011,x15012)+E(f640(x15013,x15014,x15011,x15015),f640(x15013,x15014,x15012,x15015))
% 182.43/182.09 [1502]~E(x15021,x15022)+E(f640(x15023,x15024,x15025,x15021),f640(x15023,x15024,x15025,x15022))
% 182.43/182.09 [1503]~E(x15031,x15032)+E(f543(x15031,x15033,x15034),f543(x15032,x15033,x15034))
% 182.43/182.09 [1504]~E(x15041,x15042)+E(f543(x15043,x15041,x15044),f543(x15043,x15042,x15044))
% 182.43/182.09 [1505]~E(x15051,x15052)+E(f543(x15053,x15054,x15051),f543(x15053,x15054,x15052))
% 182.43/182.09 [1506]~E(x15061,x15062)+E(f665(x15061,x15063,x15064,x15065),f665(x15062,x15063,x15064,x15065))
% 182.43/182.09 [1507]~E(x15071,x15072)+E(f665(x15073,x15071,x15074,x15075),f665(x15073,x15072,x15074,x15075))
% 182.43/182.09 [1508]~E(x15081,x15082)+E(f665(x15083,x15084,x15081,x15085),f665(x15083,x15084,x15082,x15085))
% 182.43/182.09 [1509]~E(x15091,x15092)+E(f665(x15093,x15094,x15095,x15091),f665(x15093,x15094,x15095,x15092))
% 182.43/182.09 [1510]~E(x15101,x15102)+E(f876(x15101,x15103,x15104,x15105,x15106),f876(x15102,x15103,x15104,x15105,x15106))
% 182.43/182.09 [1511]~E(x15111,x15112)+E(f876(x15113,x15111,x15114,x15115,x15116),f876(x15113,x15112,x15114,x15115,x15116))
% 182.43/182.09 [1512]~E(x15121,x15122)+E(f876(x15123,x15124,x15121,x15125,x15126),f876(x15123,x15124,x15122,x15125,x15126))
% 182.43/182.09 [1513]~E(x15131,x15132)+E(f876(x15133,x15134,x15135,x15131,x15136),f876(x15133,x15134,x15135,x15132,x15136))
% 182.43/182.09 [1514]~E(x15141,x15142)+E(f876(x15143,x15144,x15145,x15146,x15141),f876(x15143,x15144,x15145,x15146,x15142))
% 182.43/182.09 [1515]~E(x15151,x15152)+E(f793(x15151,x15153,x15154,x15155,x15156),f793(x15152,x15153,x15154,x15155,x15156))
% 182.43/182.09 [1516]~E(x15161,x15162)+E(f793(x15163,x15161,x15164,x15165,x15166),f793(x15163,x15162,x15164,x15165,x15166))
% 182.43/182.09 [1517]~E(x15171,x15172)+E(f793(x15173,x15174,x15171,x15175,x15176),f793(x15173,x15174,x15172,x15175,x15176))
% 182.43/182.09 [1518]~E(x15181,x15182)+E(f793(x15183,x15184,x15185,x15181,x15186),f793(x15183,x15184,x15185,x15182,x15186))
% 182.43/182.09 [1519]~E(x15191,x15192)+E(f793(x15193,x15194,x15195,x15196,x15191),f793(x15193,x15194,x15195,x15196,x15192))
% 182.43/182.09 [1520]~E(x15201,x15202)+E(f414(x15201,x15203,x15204,x15205),f414(x15202,x15203,x15204,x15205))
% 182.43/182.09 [1521]~E(x15211,x15212)+E(f414(x15213,x15211,x15214,x15215),f414(x15213,x15212,x15214,x15215))
% 182.43/182.09 [1522]~E(x15221,x15222)+E(f414(x15223,x15224,x15221,x15225),f414(x15223,x15224,x15222,x15225))
% 182.43/182.09 [1523]~E(x15231,x15232)+E(f414(x15233,x15234,x15235,x15231),f414(x15233,x15234,x15235,x15232))
% 182.43/182.09 [1524]~E(x15241,x15242)+E(f848(x15241,x15243,x15244,x15245),f848(x15242,x15243,x15244,x15245))
% 182.43/182.09 [1525]~E(x15251,x15252)+E(f848(x15253,x15251,x15254,x15255),f848(x15253,x15252,x15254,x15255))
% 182.43/182.09 [1526]~E(x15261,x15262)+E(f848(x15263,x15264,x15261,x15265),f848(x15263,x15264,x15262,x15265))
% 182.43/182.09 [1527]~E(x15271,x15272)+E(f848(x15273,x15274,x15275,x15271),f848(x15273,x15274,x15275,x15272))
% 182.43/182.09 [1528]~E(x15281,x15282)+E(f118(x15281,x15283,x15284,x15285,x15286),f118(x15282,x15283,x15284,x15285,x15286))
% 182.43/182.09 [1529]~E(x15291,x15292)+E(f118(x15293,x15291,x15294,x15295,x15296),f118(x15293,x15292,x15294,x15295,x15296))
% 182.43/182.09 [1530]~E(x15301,x15302)+E(f118(x15303,x15304,x15301,x15305,x15306),f118(x15303,x15304,x15302,x15305,x15306))
% 182.43/182.09 [1531]~E(x15311,x15312)+E(f118(x15313,x15314,x15315,x15311,x15316),f118(x15313,x15314,x15315,x15312,x15316))
% 182.43/182.09 [1532]~E(x15321,x15322)+E(f118(x15323,x15324,x15325,x15326,x15321),f118(x15323,x15324,x15325,x15326,x15322))
% 182.43/182.09 [1533]~E(x15331,x15332)+E(f812(x15331,x15333,x15334),f812(x15332,x15333,x15334))
% 182.43/182.09 [1534]~E(x15341,x15342)+E(f812(x15343,x15341,x15344),f812(x15343,x15342,x15344))
% 182.43/182.09 [1535]~E(x15351,x15352)+E(f812(x15353,x15354,x15351),f812(x15353,x15354,x15352))
% 182.43/182.09 [1536]~E(x15361,x15362)+E(f795(x15361,x15363,x15364,x15365,x15366,x15367),f795(x15362,x15363,x15364,x15365,x15366,x15367))
% 182.43/182.09 [1537]~E(x15371,x15372)+E(f795(x15373,x15371,x15374,x15375,x15376,x15377),f795(x15373,x15372,x15374,x15375,x15376,x15377))
% 182.43/182.09 [1538]~E(x15381,x15382)+E(f795(x15383,x15384,x15381,x15385,x15386,x15387),f795(x15383,x15384,x15382,x15385,x15386,x15387))
% 182.43/182.09 [1539]~E(x15391,x15392)+E(f795(x15393,x15394,x15395,x15391,x15396,x15397),f795(x15393,x15394,x15395,x15392,x15396,x15397))
% 182.43/182.09 [1540]~E(x15401,x15402)+E(f795(x15403,x15404,x15405,x15406,x15401,x15407),f795(x15403,x15404,x15405,x15406,x15402,x15407))
% 182.43/182.09 [1541]~E(x15411,x15412)+E(f795(x15413,x15414,x15415,x15416,x15417,x15411),f795(x15413,x15414,x15415,x15416,x15417,x15412))
% 182.43/182.09 [1542]~E(x15421,x15422)+E(f554(x15421,x15423,x15424,x15425,x15426,x15427,x15428,x15429),f554(x15422,x15423,x15424,x15425,x15426,x15427,x15428,x15429))
% 182.43/182.09 [1543]~E(x15431,x15432)+E(f554(x15433,x15431,x15434,x15435,x15436,x15437,x15438,x15439),f554(x15433,x15432,x15434,x15435,x15436,x15437,x15438,x15439))
% 182.43/182.09 [1544]~E(x15441,x15442)+E(f554(x15443,x15444,x15441,x15445,x15446,x15447,x15448,x15449),f554(x15443,x15444,x15442,x15445,x15446,x15447,x15448,x15449))
% 182.43/182.09 [1545]~E(x15451,x15452)+E(f554(x15453,x15454,x15455,x15451,x15456,x15457,x15458,x15459),f554(x15453,x15454,x15455,x15452,x15456,x15457,x15458,x15459))
% 182.43/182.09 [1546]~E(x15461,x15462)+E(f554(x15463,x15464,x15465,x15466,x15461,x15467,x15468,x15469),f554(x15463,x15464,x15465,x15466,x15462,x15467,x15468,x15469))
% 182.43/182.09 [1547]~E(x15471,x15472)+E(f554(x15473,x15474,x15475,x15476,x15477,x15471,x15478,x15479),f554(x15473,x15474,x15475,x15476,x15477,x15472,x15478,x15479))
% 182.43/182.09 [1548]~E(x15481,x15482)+E(f554(x15483,x15484,x15485,x15486,x15487,x15488,x15481,x15489),f554(x15483,x15484,x15485,x15486,x15487,x15488,x15482,x15489))
% 182.43/182.09 [1549]~E(x15491,x15492)+E(f554(x15493,x15494,x15495,x15496,x15497,x15498,x15499,x15491),f554(x15493,x15494,x15495,x15496,x15497,x15498,x15499,x15492))
% 182.43/182.09 [1550]~E(x15501,x15502)+E(f592(x15501,x15503,x15504,x15505,x15506,x15507,x15508),f592(x15502,x15503,x15504,x15505,x15506,x15507,x15508))
% 182.43/182.09 [1551]~E(x15511,x15512)+E(f592(x15513,x15511,x15514,x15515,x15516,x15517,x15518),f592(x15513,x15512,x15514,x15515,x15516,x15517,x15518))
% 182.43/182.09 [1552]~E(x15521,x15522)+E(f592(x15523,x15524,x15521,x15525,x15526,x15527,x15528),f592(x15523,x15524,x15522,x15525,x15526,x15527,x15528))
% 182.43/182.09 [1553]~E(x15531,x15532)+E(f592(x15533,x15534,x15535,x15531,x15536,x15537,x15538),f592(x15533,x15534,x15535,x15532,x15536,x15537,x15538))
% 182.43/182.09 [1554]~E(x15541,x15542)+E(f592(x15543,x15544,x15545,x15546,x15541,x15547,x15548),f592(x15543,x15544,x15545,x15546,x15542,x15547,x15548))
% 182.43/182.09 [1555]~E(x15551,x15552)+E(f592(x15553,x15554,x15555,x15556,x15557,x15551,x15558),f592(x15553,x15554,x15555,x15556,x15557,x15552,x15558))
% 182.43/182.09 [1556]~E(x15561,x15562)+E(f592(x15563,x15564,x15565,x15566,x15567,x15568,x15561),f592(x15563,x15564,x15565,x15566,x15567,x15568,x15562))
% 182.43/182.09 [1557]~E(x15571,x15572)+E(f372(x15571,x15573,x15574),f372(x15572,x15573,x15574))
% 182.43/182.09 [1558]~E(x15581,x15582)+E(f372(x15583,x15581,x15584),f372(x15583,x15582,x15584))
% 182.43/182.09 [1559]~E(x15591,x15592)+E(f372(x15593,x15594,x15591),f372(x15593,x15594,x15592))
% 182.43/182.09 [1560]~E(x15601,x15602)+E(f600(x15601,x15603,x15604,x15605,x15606,x15607,x15608,x15609),f600(x15602,x15603,x15604,x15605,x15606,x15607,x15608,x15609))
% 182.43/182.09 [1561]~E(x15611,x15612)+E(f600(x15613,x15611,x15614,x15615,x15616,x15617,x15618,x15619),f600(x15613,x15612,x15614,x15615,x15616,x15617,x15618,x15619))
% 182.43/182.09 [1562]~E(x15621,x15622)+E(f600(x15623,x15624,x15621,x15625,x15626,x15627,x15628,x15629),f600(x15623,x15624,x15622,x15625,x15626,x15627,x15628,x15629))
% 182.43/182.09 [1563]~E(x15631,x15632)+E(f600(x15633,x15634,x15635,x15631,x15636,x15637,x15638,x15639),f600(x15633,x15634,x15635,x15632,x15636,x15637,x15638,x15639))
% 182.43/182.09 [1564]~E(x15641,x15642)+E(f600(x15643,x15644,x15645,x15646,x15641,x15647,x15648,x15649),f600(x15643,x15644,x15645,x15646,x15642,x15647,x15648,x15649))
% 182.43/182.09 [1565]~E(x15651,x15652)+E(f600(x15653,x15654,x15655,x15656,x15657,x15651,x15658,x15659),f600(x15653,x15654,x15655,x15656,x15657,x15652,x15658,x15659))
% 182.43/182.09 [1566]~E(x15661,x15662)+E(f600(x15663,x15664,x15665,x15666,x15667,x15668,x15661,x15669),f600(x15663,x15664,x15665,x15666,x15667,x15668,x15662,x15669))
% 182.43/182.09 [1567]~E(x15671,x15672)+E(f600(x15673,x15674,x15675,x15676,x15677,x15678,x15679,x15671),f600(x15673,x15674,x15675,x15676,x15677,x15678,x15679,x15672))
% 182.43/182.09 [1568]~E(x15681,x15682)+E(f259(x15681,x15683),f259(x15682,x15683))
% 182.43/182.09 [1569]~E(x15691,x15692)+E(f259(x15693,x15691),f259(x15693,x15692))
% 182.43/182.09 [1570]~E(x15701,x15702)+E(f375(x15701,x15703,x15704,x15705,x15706),f375(x15702,x15703,x15704,x15705,x15706))
% 182.43/182.09 [1571]~E(x15711,x15712)+E(f375(x15713,x15711,x15714,x15715,x15716),f375(x15713,x15712,x15714,x15715,x15716))
% 182.43/182.09 [1572]~E(x15721,x15722)+E(f375(x15723,x15724,x15721,x15725,x15726),f375(x15723,x15724,x15722,x15725,x15726))
% 182.43/182.09 [1573]~E(x15731,x15732)+E(f375(x15733,x15734,x15735,x15731,x15736),f375(x15733,x15734,x15735,x15732,x15736))
% 182.43/182.09 [1574]~E(x15741,x15742)+E(f375(x15743,x15744,x15745,x15746,x15741),f375(x15743,x15744,x15745,x15746,x15742))
% 182.43/182.09 [1575]~E(x15751,x15752)+E(f287(x15751,x15753,x15754),f287(x15752,x15753,x15754))
% 182.43/182.09 [1576]~E(x15761,x15762)+E(f287(x15763,x15761,x15764),f287(x15763,x15762,x15764))
% 182.43/182.09 [1577]~E(x15771,x15772)+E(f287(x15773,x15774,x15771),f287(x15773,x15774,x15772))
% 182.43/182.09 [1578]~E(x15781,x15782)+E(f429(x15781,x15783),f429(x15782,x15783))
% 182.43/182.09 [1579]~E(x15791,x15792)+E(f429(x15793,x15791),f429(x15793,x15792))
% 182.43/182.09 [1580]~E(x15801,x15802)+E(f633(x15801,x15803,x15804),f633(x15802,x15803,x15804))
% 182.43/182.09 [1581]~E(x15811,x15812)+E(f633(x15813,x15811,x15814),f633(x15813,x15812,x15814))
% 182.43/182.09 [1582]~E(x15821,x15822)+E(f633(x15823,x15824,x15821),f633(x15823,x15824,x15822))
% 182.43/182.09 [1583]~E(x15831,x15832)+E(f343(x15831,x15833),f343(x15832,x15833))
% 182.43/182.09 [1584]~E(x15841,x15842)+E(f343(x15843,x15841),f343(x15843,x15842))
% 182.43/182.09 [1585]~E(x15851,x15852)+E(f784(x15851,x15853),f784(x15852,x15853))
% 182.43/182.09 [1586]~E(x15861,x15862)+E(f784(x15863,x15861),f784(x15863,x15862))
% 182.43/182.09 [1587]~E(x15871,x15872)+E(f767(x15871,x15873),f767(x15872,x15873))
% 182.43/182.09 [1588]~E(x15881,x15882)+E(f767(x15883,x15881),f767(x15883,x15882))
% 182.43/182.09 [1589]~E(x15891,x15892)+E(f603(x15891,x15893),f603(x15892,x15893))
% 182.43/182.09 [1590]~E(x15901,x15902)+E(f603(x15903,x15901),f603(x15903,x15902))
% 182.43/182.09 [1591]~E(x15911,x15912)+E(f574(x15911,x15913,x15914,x15915,x15916),f574(x15912,x15913,x15914,x15915,x15916))
% 182.43/182.09 [1592]~E(x15921,x15922)+E(f574(x15923,x15921,x15924,x15925,x15926),f574(x15923,x15922,x15924,x15925,x15926))
% 182.43/182.09 [1593]~E(x15931,x15932)+E(f574(x15933,x15934,x15931,x15935,x15936),f574(x15933,x15934,x15932,x15935,x15936))
% 182.43/182.09 [1594]~E(x15941,x15942)+E(f574(x15943,x15944,x15945,x15941,x15946),f574(x15943,x15944,x15945,x15942,x15946))
% 182.43/182.09 [1595]~E(x15951,x15952)+E(f574(x15953,x15954,x15955,x15956,x15951),f574(x15953,x15954,x15955,x15956,x15952))
% 182.43/182.09 [1596]~E(x15961,x15962)+E(f398(x15961,x15963,x15964,x15965,x15966,x15967),f398(x15962,x15963,x15964,x15965,x15966,x15967))
% 182.43/182.09 [1597]~E(x15971,x15972)+E(f398(x15973,x15971,x15974,x15975,x15976,x15977),f398(x15973,x15972,x15974,x15975,x15976,x15977))
% 182.43/182.09 [1598]~E(x15981,x15982)+E(f398(x15983,x15984,x15981,x15985,x15986,x15987),f398(x15983,x15984,x15982,x15985,x15986,x15987))
% 182.43/182.09 [1599]~E(x15991,x15992)+E(f398(x15993,x15994,x15995,x15991,x15996,x15997),f398(x15993,x15994,x15995,x15992,x15996,x15997))
% 182.43/182.09 [1600]~E(x16001,x16002)+E(f398(x16003,x16004,x16005,x16006,x16001,x16007),f398(x16003,x16004,x16005,x16006,x16002,x16007))
% 182.43/182.09 [1601]~E(x16011,x16012)+E(f398(x16013,x16014,x16015,x16016,x16017,x16011),f398(x16013,x16014,x16015,x16016,x16017,x16012))
% 182.43/182.09 [1602]~E(x16021,x16022)+E(f499(x16021,x16023,x16024,x16025),f499(x16022,x16023,x16024,x16025))
% 182.43/182.09 [1603]~E(x16031,x16032)+E(f499(x16033,x16031,x16034,x16035),f499(x16033,x16032,x16034,x16035))
% 182.43/182.09 [1604]~E(x16041,x16042)+E(f499(x16043,x16044,x16041,x16045),f499(x16043,x16044,x16042,x16045))
% 182.43/182.09 [1605]~E(x16051,x16052)+E(f499(x16053,x16054,x16055,x16051),f499(x16053,x16054,x16055,x16052))
% 182.43/182.09 [1606]~E(x16061,x16062)+E(f370(x16061,x16063,x16064),f370(x16062,x16063,x16064))
% 182.43/182.09 [1607]~E(x16071,x16072)+E(f370(x16073,x16071,x16074),f370(x16073,x16072,x16074))
% 182.43/182.09 [1608]~E(x16081,x16082)+E(f370(x16083,x16084,x16081),f370(x16083,x16084,x16082))
% 182.43/182.09 [1609]~E(x16091,x16092)+E(f266(x16091,x16093),f266(x16092,x16093))
% 182.43/182.09 [1610]~E(x16101,x16102)+E(f266(x16103,x16101),f266(x16103,x16102))
% 182.43/182.09 [1611]~E(x16111,x16112)+E(f551(x16111,x16113,x16114,x16115),f551(x16112,x16113,x16114,x16115))
% 182.43/182.09 [1612]~E(x16121,x16122)+E(f551(x16123,x16121,x16124,x16125),f551(x16123,x16122,x16124,x16125))
% 182.43/182.09 [1613]~E(x16131,x16132)+E(f551(x16133,x16134,x16131,x16135),f551(x16133,x16134,x16132,x16135))
% 182.43/182.09 [1614]~E(x16141,x16142)+E(f551(x16143,x16144,x16145,x16141),f551(x16143,x16144,x16145,x16142))
% 182.43/182.09 [1615]~E(x16151,x16152)+E(f817(x16151,x16153,x16154),f817(x16152,x16153,x16154))
% 182.43/182.09 [1616]~E(x16161,x16162)+E(f817(x16163,x16161,x16164),f817(x16163,x16162,x16164))
% 182.43/182.09 [1617]~E(x16171,x16172)+E(f817(x16173,x16174,x16171),f817(x16173,x16174,x16172))
% 182.43/182.09 [1618]~E(x16181,x16182)+E(f246(x16181,x16183,x16184,x16185),f246(x16182,x16183,x16184,x16185))
% 182.43/182.09 [1619]~E(x16191,x16192)+E(f246(x16193,x16191,x16194,x16195),f246(x16193,x16192,x16194,x16195))
% 182.43/182.09 [1620]~E(x16201,x16202)+E(f246(x16203,x16204,x16201,x16205),f246(x16203,x16204,x16202,x16205))
% 182.43/182.09 [1621]~E(x16211,x16212)+E(f246(x16213,x16214,x16215,x16211),f246(x16213,x16214,x16215,x16212))
% 182.43/182.09 [1622]~E(x16221,x16222)+E(f198(x16221,x16223,x16224,x16225,x16226,x16227,x16228),f198(x16222,x16223,x16224,x16225,x16226,x16227,x16228))
% 182.43/182.09 [1623]~E(x16231,x16232)+E(f198(x16233,x16231,x16234,x16235,x16236,x16237,x16238),f198(x16233,x16232,x16234,x16235,x16236,x16237,x16238))
% 182.43/182.09 [1624]~E(x16241,x16242)+E(f198(x16243,x16244,x16241,x16245,x16246,x16247,x16248),f198(x16243,x16244,x16242,x16245,x16246,x16247,x16248))
% 182.43/182.09 [1625]~E(x16251,x16252)+E(f198(x16253,x16254,x16255,x16251,x16256,x16257,x16258),f198(x16253,x16254,x16255,x16252,x16256,x16257,x16258))
% 182.43/182.09 [1626]~E(x16261,x16262)+E(f198(x16263,x16264,x16265,x16266,x16261,x16267,x16268),f198(x16263,x16264,x16265,x16266,x16262,x16267,x16268))
% 182.43/182.09 [1627]~E(x16271,x16272)+E(f198(x16273,x16274,x16275,x16276,x16277,x16271,x16278),f198(x16273,x16274,x16275,x16276,x16277,x16272,x16278))
% 182.43/182.09 [1628]~E(x16281,x16282)+E(f198(x16283,x16284,x16285,x16286,x16287,x16288,x16281),f198(x16283,x16284,x16285,x16286,x16287,x16288,x16282))
% 182.43/182.09 [1629]~E(x16291,x16292)+E(f72(x16291,x16293,x16294,x16295),f72(x16292,x16293,x16294,x16295))
% 182.43/182.09 [1630]~E(x16301,x16302)+E(f72(x16303,x16301,x16304,x16305),f72(x16303,x16302,x16304,x16305))
% 182.43/182.09 [1631]~E(x16311,x16312)+E(f72(x16313,x16314,x16311,x16315),f72(x16313,x16314,x16312,x16315))
% 182.43/182.09 [1632]~E(x16321,x16322)+E(f72(x16323,x16324,x16325,x16321),f72(x16323,x16324,x16325,x16322))
% 182.43/182.09 [1633]~E(x16331,x16332)+E(f819(x16331,x16333,x16334,x16335,x16336,x16337),f819(x16332,x16333,x16334,x16335,x16336,x16337))
% 182.43/182.09 [1634]~E(x16341,x16342)+E(f819(x16343,x16341,x16344,x16345,x16346,x16347),f819(x16343,x16342,x16344,x16345,x16346,x16347))
% 182.43/182.09 [1635]~E(x16351,x16352)+E(f819(x16353,x16354,x16351,x16355,x16356,x16357),f819(x16353,x16354,x16352,x16355,x16356,x16357))
% 182.43/182.09 [1636]~E(x16361,x16362)+E(f819(x16363,x16364,x16365,x16361,x16366,x16367),f819(x16363,x16364,x16365,x16362,x16366,x16367))
% 182.43/182.09 [1637]~E(x16371,x16372)+E(f819(x16373,x16374,x16375,x16376,x16371,x16377),f819(x16373,x16374,x16375,x16376,x16372,x16377))
% 182.43/182.09 [1638]~E(x16381,x16382)+E(f819(x16383,x16384,x16385,x16386,x16387,x16381),f819(x16383,x16384,x16385,x16386,x16387,x16382))
% 182.43/182.09 [1639]~E(x16391,x16392)+E(f659(x16391,x16393,x16394,x16395,x16396),f659(x16392,x16393,x16394,x16395,x16396))
% 182.43/182.09 [1640]~E(x16401,x16402)+E(f659(x16403,x16401,x16404,x16405,x16406),f659(x16403,x16402,x16404,x16405,x16406))
% 182.43/182.09 [1641]~E(x16411,x16412)+E(f659(x16413,x16414,x16411,x16415,x16416),f659(x16413,x16414,x16412,x16415,x16416))
% 182.43/182.09 [1642]~E(x16421,x16422)+E(f659(x16423,x16424,x16425,x16421,x16426),f659(x16423,x16424,x16425,x16422,x16426))
% 182.43/182.09 [1643]~E(x16431,x16432)+E(f659(x16433,x16434,x16435,x16436,x16431),f659(x16433,x16434,x16435,x16436,x16432))
% 182.43/182.09 [1644]~E(x16441,x16442)+E(f678(x16441,x16443),f678(x16442,x16443))
% 182.43/182.09 [1645]~E(x16451,x16452)+E(f678(x16453,x16451),f678(x16453,x16452))
% 182.43/182.09 [1646]~E(x16461,x16462)+E(f703(x16461,x16463,x16464,x16465),f703(x16462,x16463,x16464,x16465))
% 182.43/182.09 [1647]~E(x16471,x16472)+E(f703(x16473,x16471,x16474,x16475),f703(x16473,x16472,x16474,x16475))
% 182.43/182.09 [1648]~E(x16481,x16482)+E(f703(x16483,x16484,x16481,x16485),f703(x16483,x16484,x16482,x16485))
% 182.43/182.09 [1649]~E(x16491,x16492)+E(f703(x16493,x16494,x16495,x16491),f703(x16493,x16494,x16495,x16492))
% 182.43/182.09 [1650]~E(x16501,x16502)+E(f377(x16501,x16503,x16504),f377(x16502,x16503,x16504))
% 182.43/182.09 [1651]~E(x16511,x16512)+E(f377(x16513,x16511,x16514),f377(x16513,x16512,x16514))
% 182.43/182.09 [1652]~E(x16521,x16522)+E(f377(x16523,x16524,x16521),f377(x16523,x16524,x16522))
% 182.43/182.09 [1653]~E(x16531,x16532)+E(f854(x16531,x16533,x16534,x16535),f854(x16532,x16533,x16534,x16535))
% 182.43/182.09 [1654]~E(x16541,x16542)+E(f854(x16543,x16541,x16544,x16545),f854(x16543,x16542,x16544,x16545))
% 182.43/182.09 [1655]~E(x16551,x16552)+E(f854(x16553,x16554,x16551,x16555),f854(x16553,x16554,x16552,x16555))
% 182.43/182.09 [1656]~E(x16561,x16562)+E(f854(x16563,x16564,x16565,x16561),f854(x16563,x16564,x16565,x16562))
% 182.43/182.09 [1657]~E(x16571,x16572)+E(f508(x16571,x16573,x16574,x16575,x16576,x16577),f508(x16572,x16573,x16574,x16575,x16576,x16577))
% 182.43/182.09 [1658]~E(x16581,x16582)+E(f508(x16583,x16581,x16584,x16585,x16586,x16587),f508(x16583,x16582,x16584,x16585,x16586,x16587))
% 182.43/182.09 [1659]~E(x16591,x16592)+E(f508(x16593,x16594,x16591,x16595,x16596,x16597),f508(x16593,x16594,x16592,x16595,x16596,x16597))
% 182.43/182.09 [1660]~E(x16601,x16602)+E(f508(x16603,x16604,x16605,x16601,x16606,x16607),f508(x16603,x16604,x16605,x16602,x16606,x16607))
% 182.43/182.09 [1661]~E(x16611,x16612)+E(f508(x16613,x16614,x16615,x16616,x16611,x16617),f508(x16613,x16614,x16615,x16616,x16612,x16617))
% 182.43/182.09 [1662]~E(x16621,x16622)+E(f508(x16623,x16624,x16625,x16626,x16627,x16621),f508(x16623,x16624,x16625,x16626,x16627,x16622))
% 182.43/182.09 [1663]~E(x16631,x16632)+E(f286(x16631,x16633,x16634),f286(x16632,x16633,x16634))
% 182.43/182.09 [1664]~E(x16641,x16642)+E(f286(x16643,x16641,x16644),f286(x16643,x16642,x16644))
% 182.43/182.09 [1665]~E(x16651,x16652)+E(f286(x16653,x16654,x16651),f286(x16653,x16654,x16652))
% 182.43/182.09 [1666]~E(x16661,x16662)+E(f910(x16661),f910(x16662))
% 182.43/182.09 [1667]~E(x16671,x16672)+E(f157(x16671,x16673,x16674),f157(x16672,x16673,x16674))
% 182.43/182.09 [1668]~E(x16681,x16682)+E(f157(x16683,x16681,x16684),f157(x16683,x16682,x16684))
% 182.43/182.09 [1669]~E(x16691,x16692)+E(f157(x16693,x16694,x16691),f157(x16693,x16694,x16692))
% 182.43/182.09 [1670]~E(x16701,x16702)+E(f837(x16701,x16703,x16704),f837(x16702,x16703,x16704))
% 182.43/182.09 [1671]~E(x16711,x16712)+E(f837(x16713,x16711,x16714),f837(x16713,x16712,x16714))
% 182.43/182.09 [1672]~E(x16721,x16722)+E(f837(x16723,x16724,x16721),f837(x16723,x16724,x16722))
% 182.43/182.09 [1673]~E(x16731,x16732)+E(f229(x16731,x16733),f229(x16732,x16733))
% 182.43/182.09 [1674]~E(x16741,x16742)+E(f229(x16743,x16741),f229(x16743,x16742))
% 182.43/182.09 [1675]~E(x16751,x16752)+E(f890(x16751,x16753,x16754,x16755),f890(x16752,x16753,x16754,x16755))
% 182.43/182.09 [1676]~E(x16761,x16762)+E(f890(x16763,x16761,x16764,x16765),f890(x16763,x16762,x16764,x16765))
% 182.43/182.09 [1677]~E(x16771,x16772)+E(f890(x16773,x16774,x16771,x16775),f890(x16773,x16774,x16772,x16775))
% 182.43/182.09 [1678]~E(x16781,x16782)+E(f890(x16783,x16784,x16785,x16781),f890(x16783,x16784,x16785,x16782))
% 182.43/182.09 [1679]~E(x16791,x16792)+E(f594(x16791,x16793,x16794),f594(x16792,x16793,x16794))
% 182.43/182.09 [1680]~E(x16801,x16802)+E(f594(x16803,x16801,x16804),f594(x16803,x16802,x16804))
% 182.43/182.09 [1681]~E(x16811,x16812)+E(f594(x16813,x16814,x16811),f594(x16813,x16814,x16812))
% 182.43/182.09 [1682]~E(x16821,x16822)+E(f619(x16821,x16823,x16824,x16825,x16826),f619(x16822,x16823,x16824,x16825,x16826))
% 182.43/182.09 [1683]~E(x16831,x16832)+E(f619(x16833,x16831,x16834,x16835,x16836),f619(x16833,x16832,x16834,x16835,x16836))
% 182.43/182.09 [1684]~E(x16841,x16842)+E(f619(x16843,x16844,x16841,x16845,x16846),f619(x16843,x16844,x16842,x16845,x16846))
% 182.43/182.09 [1685]~E(x16851,x16852)+E(f619(x16853,x16854,x16855,x16851,x16856),f619(x16853,x16854,x16855,x16852,x16856))
% 182.43/182.09 [1686]~E(x16861,x16862)+E(f619(x16863,x16864,x16865,x16866,x16861),f619(x16863,x16864,x16865,x16866,x16862))
% 182.43/182.09 [1687]~E(x16871,x16872)+E(f611(x16871,x16873,x16874,x16875,x16876,x16877,x16878),f611(x16872,x16873,x16874,x16875,x16876,x16877,x16878))
% 182.43/182.09 [1688]~E(x16881,x16882)+E(f611(x16883,x16881,x16884,x16885,x16886,x16887,x16888),f611(x16883,x16882,x16884,x16885,x16886,x16887,x16888))
% 182.43/182.09 [1689]~E(x16891,x16892)+E(f611(x16893,x16894,x16891,x16895,x16896,x16897,x16898),f611(x16893,x16894,x16892,x16895,x16896,x16897,x16898))
% 182.43/182.09 [1690]~E(x16901,x16902)+E(f611(x16903,x16904,x16905,x16901,x16906,x16907,x16908),f611(x16903,x16904,x16905,x16902,x16906,x16907,x16908))
% 182.43/182.09 [1691]~E(x16911,x16912)+E(f611(x16913,x16914,x16915,x16916,x16911,x16917,x16918),f611(x16913,x16914,x16915,x16916,x16912,x16917,x16918))
% 182.43/182.09 [1692]~E(x16921,x16922)+E(f611(x16923,x16924,x16925,x16926,x16927,x16921,x16928),f611(x16923,x16924,x16925,x16926,x16927,x16922,x16928))
% 182.43/182.09 [1693]~E(x16931,x16932)+E(f611(x16933,x16934,x16935,x16936,x16937,x16938,x16931),f611(x16933,x16934,x16935,x16936,x16937,x16938,x16932))
% 182.43/182.09 [1694]~E(x16941,x16942)+E(f576(x16941,x16943,x16944,x16945,x16946),f576(x16942,x16943,x16944,x16945,x16946))
% 182.43/182.09 [1695]~E(x16951,x16952)+E(f576(x16953,x16951,x16954,x16955,x16956),f576(x16953,x16952,x16954,x16955,x16956))
% 182.43/182.09 [1696]~E(x16961,x16962)+E(f576(x16963,x16964,x16961,x16965,x16966),f576(x16963,x16964,x16962,x16965,x16966))
% 182.43/182.09 [1697]~E(x16971,x16972)+E(f576(x16973,x16974,x16975,x16971,x16976),f576(x16973,x16974,x16975,x16972,x16976))
% 182.43/182.09 [1698]~E(x16981,x16982)+E(f576(x16983,x16984,x16985,x16986,x16981),f576(x16983,x16984,x16985,x16986,x16982))
% 182.43/182.09 [1699]~E(x16991,x16992)+E(f303(x16991,x16993),f303(x16992,x16993))
% 182.43/182.09 [1700]~E(x17001,x17002)+E(f303(x17003,x17001),f303(x17003,x17002))
% 182.43/182.09 [1701]~E(x17011,x17012)+E(f884(x17011,x17013),f884(x17012,x17013))
% 182.43/182.09 [1702]~E(x17021,x17022)+E(f884(x17023,x17021),f884(x17023,x17022))
% 182.43/182.09 [1703]~E(x17031,x17032)+E(f609(x17031,x17033,x17034,x17035),f609(x17032,x17033,x17034,x17035))
% 182.43/182.09 [1704]~E(x17041,x17042)+E(f609(x17043,x17041,x17044,x17045),f609(x17043,x17042,x17044,x17045))
% 182.43/182.09 [1705]~E(x17051,x17052)+E(f609(x17053,x17054,x17051,x17055),f609(x17053,x17054,x17052,x17055))
% 182.43/182.09 [1706]~E(x17061,x17062)+E(f609(x17063,x17064,x17065,x17061),f609(x17063,x17064,x17065,x17062))
% 182.43/182.09 [1707]~E(x17071,x17072)+E(f380(x17071,x17073,x17074,x17075,x17076),f380(x17072,x17073,x17074,x17075,x17076))
% 182.43/182.09 [1708]~E(x17081,x17082)+E(f380(x17083,x17081,x17084,x17085,x17086),f380(x17083,x17082,x17084,x17085,x17086))
% 182.43/182.09 [1709]~E(x17091,x17092)+E(f380(x17093,x17094,x17091,x17095,x17096),f380(x17093,x17094,x17092,x17095,x17096))
% 182.43/182.09 [1710]~E(x17101,x17102)+E(f380(x17103,x17104,x17105,x17101,x17106),f380(x17103,x17104,x17105,x17102,x17106))
% 182.43/182.09 [1711]~E(x17111,x17112)+E(f380(x17113,x17114,x17115,x17116,x17111),f380(x17113,x17114,x17115,x17116,x17112))
% 182.43/182.09 [1712]~E(x17121,x17122)+E(f392(x17121,x17123),f392(x17122,x17123))
% 182.43/182.09 [1713]~E(x17131,x17132)+E(f392(x17133,x17131),f392(x17133,x17132))
% 182.43/182.09 [1714]~E(x17141,x17142)+E(f61(x17141,x17143,x17144),f61(x17142,x17143,x17144))
% 182.43/182.09 [1715]~E(x17151,x17152)+E(f61(x17153,x17151,x17154),f61(x17153,x17152,x17154))
% 182.43/182.09 [1716]~E(x17161,x17162)+E(f61(x17163,x17164,x17161),f61(x17163,x17164,x17162))
% 182.43/182.09 [1717]~E(x17171,x17172)+E(f732(x17171,x17173,x17174,x17175),f732(x17172,x17173,x17174,x17175))
% 182.43/182.09 [1718]~E(x17181,x17182)+E(f732(x17183,x17181,x17184,x17185),f732(x17183,x17182,x17184,x17185))
% 182.43/182.09 [1719]~E(x17191,x17192)+E(f732(x17193,x17194,x17191,x17195),f732(x17193,x17194,x17192,x17195))
% 182.43/182.09 [1720]~E(x17201,x17202)+E(f732(x17203,x17204,x17205,x17201),f732(x17203,x17204,x17205,x17202))
% 182.43/182.09 [1721]~E(x17211,x17212)+E(f438(x17211,x17213,x17214),f438(x17212,x17213,x17214))
% 182.43/182.09 [1722]~E(x17221,x17222)+E(f438(x17223,x17221,x17224),f438(x17223,x17222,x17224))
% 182.43/182.09 [1723]~E(x17231,x17232)+E(f438(x17233,x17234,x17231),f438(x17233,x17234,x17232))
% 182.43/182.09 [1724]~E(x17241,x17242)+E(f832(x17241,x17243,x17244,x17245,x17246,x17247),f832(x17242,x17243,x17244,x17245,x17246,x17247))
% 182.43/182.09 [1725]~E(x17251,x17252)+E(f832(x17253,x17251,x17254,x17255,x17256,x17257),f832(x17253,x17252,x17254,x17255,x17256,x17257))
% 182.43/182.09 [1726]~E(x17261,x17262)+E(f832(x17263,x17264,x17261,x17265,x17266,x17267),f832(x17263,x17264,x17262,x17265,x17266,x17267))
% 182.43/182.09 [1727]~E(x17271,x17272)+E(f832(x17273,x17274,x17275,x17271,x17276,x17277),f832(x17273,x17274,x17275,x17272,x17276,x17277))
% 182.43/182.09 [1728]~E(x17281,x17282)+E(f832(x17283,x17284,x17285,x17286,x17281,x17287),f832(x17283,x17284,x17285,x17286,x17282,x17287))
% 182.43/182.09 [1729]~E(x17291,x17292)+E(f832(x17293,x17294,x17295,x17296,x17297,x17291),f832(x17293,x17294,x17295,x17296,x17297,x17292))
% 182.43/182.09 [1730]~E(x17301,x17302)+E(f546(x17301,x17303,x17304,x17305,x17306,x17307),f546(x17302,x17303,x17304,x17305,x17306,x17307))
% 182.43/182.09 [1731]~E(x17311,x17312)+E(f546(x17313,x17311,x17314,x17315,x17316,x17317),f546(x17313,x17312,x17314,x17315,x17316,x17317))
% 182.43/182.09 [1732]~E(x17321,x17322)+E(f546(x17323,x17324,x17321,x17325,x17326,x17327),f546(x17323,x17324,x17322,x17325,x17326,x17327))
% 182.43/182.09 [1733]~E(x17331,x17332)+E(f546(x17333,x17334,x17335,x17331,x17336,x17337),f546(x17333,x17334,x17335,x17332,x17336,x17337))
% 182.43/182.09 [1734]~E(x17341,x17342)+E(f546(x17343,x17344,x17345,x17346,x17341,x17347),f546(x17343,x17344,x17345,x17346,x17342,x17347))
% 182.43/182.09 [1735]~E(x17351,x17352)+E(f546(x17353,x17354,x17355,x17356,x17357,x17351),f546(x17353,x17354,x17355,x17356,x17357,x17352))
% 182.43/182.09 [1736]~E(x17361,x17362)+E(f645(x17361,x17363),f645(x17362,x17363))
% 182.43/182.09 [1737]~E(x17371,x17372)+E(f645(x17373,x17371),f645(x17373,x17372))
% 182.43/182.09 [1738]~E(x17381,x17382)+E(f727(x17381,x17383,x17384,x17385,x17386),f727(x17382,x17383,x17384,x17385,x17386))
% 182.43/182.09 [1739]~E(x17391,x17392)+E(f727(x17393,x17391,x17394,x17395,x17396),f727(x17393,x17392,x17394,x17395,x17396))
% 182.43/182.09 [1740]~E(x17401,x17402)+E(f727(x17403,x17404,x17401,x17405,x17406),f727(x17403,x17404,x17402,x17405,x17406))
% 182.43/182.09 [1741]~E(x17411,x17412)+E(f727(x17413,x17414,x17415,x17411,x17416),f727(x17413,x17414,x17415,x17412,x17416))
% 182.43/182.09 [1742]~E(x17421,x17422)+E(f727(x17423,x17424,x17425,x17426,x17421),f727(x17423,x17424,x17425,x17426,x17422))
% 182.43/182.09 [1743]~E(x17431,x17432)+E(f866(x17431,x17433),f866(x17432,x17433))
% 182.43/182.09 [1744]~E(x17441,x17442)+E(f866(x17443,x17441),f866(x17443,x17442))
% 182.43/182.09 [1745]~E(x17451,x17452)+E(f722(x17451,x17453,x17454,x17455,x17456),f722(x17452,x17453,x17454,x17455,x17456))
% 182.43/182.09 [1746]~E(x17461,x17462)+E(f722(x17463,x17461,x17464,x17465,x17466),f722(x17463,x17462,x17464,x17465,x17466))
% 182.43/182.09 [1747]~E(x17471,x17472)+E(f722(x17473,x17474,x17471,x17475,x17476),f722(x17473,x17474,x17472,x17475,x17476))
% 182.43/182.09 [1748]~E(x17481,x17482)+E(f722(x17483,x17484,x17485,x17481,x17486),f722(x17483,x17484,x17485,x17482,x17486))
% 182.43/182.09 [1749]~E(x17491,x17492)+E(f722(x17493,x17494,x17495,x17496,x17491),f722(x17493,x17494,x17495,x17496,x17492))
% 182.43/182.09 [1750]~E(x17501,x17502)+E(f39(x17501),f39(x17502))
% 182.43/182.09 [1751]~E(x17511,x17512)+E(f572(x17511,x17513,x17514,x17515),f572(x17512,x17513,x17514,x17515))
% 182.43/182.09 [1752]~E(x17521,x17522)+E(f572(x17523,x17521,x17524,x17525),f572(x17523,x17522,x17524,x17525))
% 182.43/182.09 [1753]~E(x17531,x17532)+E(f572(x17533,x17534,x17531,x17535),f572(x17533,x17534,x17532,x17535))
% 182.43/182.09 [1754]~E(x17541,x17542)+E(f572(x17543,x17544,x17545,x17541),f572(x17543,x17544,x17545,x17542))
% 182.43/182.09 [1755]~E(x17551,x17552)+E(f833(x17551,x17553,x17554,x17555,x17556,x17557),f833(x17552,x17553,x17554,x17555,x17556,x17557))
% 182.43/182.09 [1756]~E(x17561,x17562)+E(f833(x17563,x17561,x17564,x17565,x17566,x17567),f833(x17563,x17562,x17564,x17565,x17566,x17567))
% 182.43/182.09 [1757]~E(x17571,x17572)+E(f833(x17573,x17574,x17571,x17575,x17576,x17577),f833(x17573,x17574,x17572,x17575,x17576,x17577))
% 182.43/182.09 [1758]~E(x17581,x17582)+E(f833(x17583,x17584,x17585,x17581,x17586,x17587),f833(x17583,x17584,x17585,x17582,x17586,x17587))
% 182.43/182.09 [1759]~E(x17591,x17592)+E(f833(x17593,x17594,x17595,x17596,x17591,x17597),f833(x17593,x17594,x17595,x17596,x17592,x17597))
% 182.43/182.09 [1760]~E(x17601,x17602)+E(f833(x17603,x17604,x17605,x17606,x17607,x17601),f833(x17603,x17604,x17605,x17606,x17607,x17602))
% 182.43/182.09 [1761]~E(x17611,x17612)+E(f175(x17611,x17613,x17614),f175(x17612,x17613,x17614))
% 182.43/182.09 [1762]~E(x17621,x17622)+E(f175(x17623,x17621,x17624),f175(x17623,x17622,x17624))
% 182.43/182.09 [1763]~E(x17631,x17632)+E(f175(x17633,x17634,x17631),f175(x17633,x17634,x17632))
% 182.43/182.09 [1764]~E(x17641,x17642)+E(f324(x17641),f324(x17642))
% 182.43/182.09 [1765]~E(x17651,x17652)+E(f799(x17651),f799(x17652))
% 182.43/182.09 [1766]~E(x17661,x17662)+E(f489(x17661,x17663,x17664,x17665),f489(x17662,x17663,x17664,x17665))
% 182.43/182.09 [1767]~E(x17671,x17672)+E(f489(x17673,x17671,x17674,x17675),f489(x17673,x17672,x17674,x17675))
% 182.43/182.09 [1768]~E(x17681,x17682)+E(f489(x17683,x17684,x17681,x17685),f489(x17683,x17684,x17682,x17685))
% 182.43/182.09 [1769]~E(x17691,x17692)+E(f489(x17693,x17694,x17695,x17691),f489(x17693,x17694,x17695,x17692))
% 182.43/182.09 [1770]~E(x17701,x17702)+E(f21(x17701,x17703),f21(x17702,x17703))
% 182.43/182.09 [1771]~E(x17711,x17712)+E(f21(x17713,x17711),f21(x17713,x17712))
% 182.43/182.09 [1772]~E(x17721,x17722)+E(f669(x17721,x17723,x17724),f669(x17722,x17723,x17724))
% 182.43/182.09 [1773]~E(x17731,x17732)+E(f669(x17733,x17731,x17734),f669(x17733,x17732,x17734))
% 182.43/182.09 [1774]~E(x17741,x17742)+E(f669(x17743,x17744,x17741),f669(x17743,x17744,x17742))
% 182.43/182.09 [1775]~E(x17751,x17752)+E(f700(x17751,x17753),f700(x17752,x17753))
% 182.43/182.09 [1776]~E(x17761,x17762)+E(f700(x17763,x17761),f700(x17763,x17762))
% 182.43/182.09 [1777]~E(x17771,x17772)+E(f875(x17771,x17773,x17774,x17775,x17776),f875(x17772,x17773,x17774,x17775,x17776))
% 182.43/182.09 [1778]~E(x17781,x17782)+E(f875(x17783,x17781,x17784,x17785,x17786),f875(x17783,x17782,x17784,x17785,x17786))
% 182.43/182.09 [1779]~E(x17791,x17792)+E(f875(x17793,x17794,x17791,x17795,x17796),f875(x17793,x17794,x17792,x17795,x17796))
% 182.43/182.09 [1780]~E(x17801,x17802)+E(f875(x17803,x17804,x17805,x17801,x17806),f875(x17803,x17804,x17805,x17802,x17806))
% 182.43/182.09 [1781]~E(x17811,x17812)+E(f875(x17813,x17814,x17815,x17816,x17811),f875(x17813,x17814,x17815,x17816,x17812))
% 182.43/182.09 [1782]~E(x17821,x17822)+E(f710(x17821,x17823),f710(x17822,x17823))
% 182.43/182.09 [1783]~E(x17831,x17832)+E(f710(x17833,x17831),f710(x17833,x17832))
% 182.43/182.09 [1784]~E(x17841,x17842)+E(f855(x17841,x17843,x17844,x17845),f855(x17842,x17843,x17844,x17845))
% 182.43/182.09 [1785]~E(x17851,x17852)+E(f855(x17853,x17851,x17854,x17855),f855(x17853,x17852,x17854,x17855))
% 182.43/182.09 [1786]~E(x17861,x17862)+E(f855(x17863,x17864,x17861,x17865),f855(x17863,x17864,x17862,x17865))
% 182.43/182.09 [1787]~E(x17871,x17872)+E(f855(x17873,x17874,x17875,x17871),f855(x17873,x17874,x17875,x17872))
% 182.43/182.09 [1788]~E(x17881,x17882)+E(f486(x17881,x17883,x17884,x17885),f486(x17882,x17883,x17884,x17885))
% 182.43/182.09 [1789]~E(x17891,x17892)+E(f486(x17893,x17891,x17894,x17895),f486(x17893,x17892,x17894,x17895))
% 182.43/182.09 [1790]~E(x17901,x17902)+E(f486(x17903,x17904,x17901,x17905),f486(x17903,x17904,x17902,x17905))
% 182.43/182.09 [1791]~E(x17911,x17912)+E(f486(x17913,x17914,x17915,x17911),f486(x17913,x17914,x17915,x17912))
% 182.43/182.09 [1792]~E(x17921,x17922)+E(f335(x17921,x17923,x17924,x17925),f335(x17922,x17923,x17924,x17925))
% 182.43/182.09 [1793]~E(x17931,x17932)+E(f335(x17933,x17931,x17934,x17935),f335(x17933,x17932,x17934,x17935))
% 182.43/182.09 [1794]~E(x17941,x17942)+E(f335(x17943,x17944,x17941,x17945),f335(x17943,x17944,x17942,x17945))
% 182.43/182.09 [1795]~E(x17951,x17952)+E(f335(x17953,x17954,x17955,x17951),f335(x17953,x17954,x17955,x17952))
% 182.43/182.09 [1796]~E(x17961,x17962)+E(f497(x17961,x17963,x17964,x17965),f497(x17962,x17963,x17964,x17965))
% 182.43/182.09 [1797]~E(x17971,x17972)+E(f497(x17973,x17971,x17974,x17975),f497(x17973,x17972,x17974,x17975))
% 182.43/182.09 [1798]~E(x17981,x17982)+E(f497(x17983,x17984,x17981,x17985),f497(x17983,x17984,x17982,x17985))
% 182.43/182.09 [1799]~E(x17991,x17992)+E(f497(x17993,x17994,x17995,x17991),f497(x17993,x17994,x17995,x17992))
% 182.43/182.09 [1800]~E(x18001,x18002)+E(f322(x18001,x18003,x18004,x18005),f322(x18002,x18003,x18004,x18005))
% 182.43/182.09 [1801]~E(x18011,x18012)+E(f322(x18013,x18011,x18014,x18015),f322(x18013,x18012,x18014,x18015))
% 182.43/182.09 [1802]~E(x18021,x18022)+E(f322(x18023,x18024,x18021,x18025),f322(x18023,x18024,x18022,x18025))
% 182.43/182.09 [1803]~E(x18031,x18032)+E(f322(x18033,x18034,x18035,x18031),f322(x18033,x18034,x18035,x18032))
% 182.43/182.09 [1804]~E(x18041,x18042)+E(f389(x18041,x18043,x18044,x18045,x18046),f389(x18042,x18043,x18044,x18045,x18046))
% 182.43/182.09 [1805]~E(x18051,x18052)+E(f389(x18053,x18051,x18054,x18055,x18056),f389(x18053,x18052,x18054,x18055,x18056))
% 182.43/182.09 [1806]~E(x18061,x18062)+E(f389(x18063,x18064,x18061,x18065,x18066),f389(x18063,x18064,x18062,x18065,x18066))
% 182.43/182.09 [1807]~E(x18071,x18072)+E(f389(x18073,x18074,x18075,x18071,x18076),f389(x18073,x18074,x18075,x18072,x18076))
% 182.43/182.09 [1808]~E(x18081,x18082)+E(f389(x18083,x18084,x18085,x18086,x18081),f389(x18083,x18084,x18085,x18086,x18082))
% 182.43/182.09 [1809]~E(x18091,x18092)+E(f68(x18091,x18093),f68(x18092,x18093))
% 182.43/182.09 [1810]~E(x18101,x18102)+E(f68(x18103,x18101),f68(x18103,x18102))
% 182.43/182.09 [1811]~E(x18111,x18112)+E(f536(x18111,x18113,x18114,x18115,x18116,x18117),f536(x18112,x18113,x18114,x18115,x18116,x18117))
% 182.43/182.09 [1812]~E(x18121,x18122)+E(f536(x18123,x18121,x18124,x18125,x18126,x18127),f536(x18123,x18122,x18124,x18125,x18126,x18127))
% 182.43/182.09 [1813]~E(x18131,x18132)+E(f536(x18133,x18134,x18131,x18135,x18136,x18137),f536(x18133,x18134,x18132,x18135,x18136,x18137))
% 182.43/182.09 [1814]~E(x18141,x18142)+E(f536(x18143,x18144,x18145,x18141,x18146,x18147),f536(x18143,x18144,x18145,x18142,x18146,x18147))
% 182.43/182.09 [1815]~E(x18151,x18152)+E(f536(x18153,x18154,x18155,x18156,x18151,x18157),f536(x18153,x18154,x18155,x18156,x18152,x18157))
% 182.43/182.09 [1816]~E(x18161,x18162)+E(f536(x18163,x18164,x18165,x18166,x18167,x18161),f536(x18163,x18164,x18165,x18166,x18167,x18162))
% 182.43/182.09 [1817]~E(x18171,x18172)+E(f121(x18171,x18173,x18174,x18175),f121(x18172,x18173,x18174,x18175))
% 182.43/182.09 [1818]~E(x18181,x18182)+E(f121(x18183,x18181,x18184,x18185),f121(x18183,x18182,x18184,x18185))
% 182.43/182.09 [1819]~E(x18191,x18192)+E(f121(x18193,x18194,x18191,x18195),f121(x18193,x18194,x18192,x18195))
% 182.43/182.09 [1820]~E(x18201,x18202)+E(f121(x18203,x18204,x18205,x18201),f121(x18203,x18204,x18205,x18202))
% 182.43/182.09 [1821]~E(x18211,x18212)+E(f153(x18211,x18213),f153(x18212,x18213))
% 182.43/182.09 [1822]~E(x18221,x18222)+E(f153(x18223,x18221),f153(x18223,x18222))
% 182.43/182.09 [1823]~E(x18231,x18232)+E(f365(x18231,x18233),f365(x18232,x18233))
% 182.43/182.09 [1824]~E(x18241,x18242)+E(f365(x18243,x18241),f365(x18243,x18242))
% 182.43/182.09 [1825]~E(x18251,x18252)+E(f535(x18251,x18253,x18254,x18255,x18256,x18257),f535(x18252,x18253,x18254,x18255,x18256,x18257))
% 182.43/182.09 [1826]~E(x18261,x18262)+E(f535(x18263,x18261,x18264,x18265,x18266,x18267),f535(x18263,x18262,x18264,x18265,x18266,x18267))
% 182.43/182.09 [1827]~E(x18271,x18272)+E(f535(x18273,x18274,x18271,x18275,x18276,x18277),f535(x18273,x18274,x18272,x18275,x18276,x18277))
% 182.43/182.09 [1828]~E(x18281,x18282)+E(f535(x18283,x18284,x18285,x18281,x18286,x18287),f535(x18283,x18284,x18285,x18282,x18286,x18287))
% 182.43/182.09 [1829]~E(x18291,x18292)+E(f535(x18293,x18294,x18295,x18296,x18291,x18297),f535(x18293,x18294,x18295,x18296,x18292,x18297))
% 182.43/182.09 [1830]~E(x18301,x18302)+E(f535(x18303,x18304,x18305,x18306,x18307,x18301),f535(x18303,x18304,x18305,x18306,x18307,x18302))
% 182.43/182.09 [1831]~E(x18311,x18312)+E(f479(x18311,x18313,x18314,x18315),f479(x18312,x18313,x18314,x18315))
% 182.43/182.09 [1832]~E(x18321,x18322)+E(f479(x18323,x18321,x18324,x18325),f479(x18323,x18322,x18324,x18325))
% 182.43/182.09 [1833]~E(x18331,x18332)+E(f479(x18333,x18334,x18331,x18335),f479(x18333,x18334,x18332,x18335))
% 182.43/182.09 [1834]~E(x18341,x18342)+E(f479(x18343,x18344,x18345,x18341),f479(x18343,x18344,x18345,x18342))
% 182.43/182.09 [1835]~E(x18351,x18352)+E(f716(x18351,x18353,x18354,x18355,x18356),f716(x18352,x18353,x18354,x18355,x18356))
% 182.43/182.09 [1836]~E(x18361,x18362)+E(f716(x18363,x18361,x18364,x18365,x18366),f716(x18363,x18362,x18364,x18365,x18366))
% 182.43/182.09 [1837]~E(x18371,x18372)+E(f716(x18373,x18374,x18371,x18375,x18376),f716(x18373,x18374,x18372,x18375,x18376))
% 182.43/182.09 [1838]~E(x18381,x18382)+E(f716(x18383,x18384,x18385,x18381,x18386),f716(x18383,x18384,x18385,x18382,x18386))
% 182.43/182.09 [1839]~E(x18391,x18392)+E(f716(x18393,x18394,x18395,x18396,x18391),f716(x18393,x18394,x18395,x18396,x18392))
% 182.43/182.09 [1840]~E(x18401,x18402)+E(f861(x18401,x18403,x18404,x18405,x18406,x18407),f861(x18402,x18403,x18404,x18405,x18406,x18407))
% 182.43/182.09 [1841]~E(x18411,x18412)+E(f861(x18413,x18411,x18414,x18415,x18416,x18417),f861(x18413,x18412,x18414,x18415,x18416,x18417))
% 182.43/182.09 [1842]~E(x18421,x18422)+E(f861(x18423,x18424,x18421,x18425,x18426,x18427),f861(x18423,x18424,x18422,x18425,x18426,x18427))
% 182.43/182.09 [1843]~E(x18431,x18432)+E(f861(x18433,x18434,x18435,x18431,x18436,x18437),f861(x18433,x18434,x18435,x18432,x18436,x18437))
% 182.43/182.09 [1844]~E(x18441,x18442)+E(f861(x18443,x18444,x18445,x18446,x18441,x18447),f861(x18443,x18444,x18445,x18446,x18442,x18447))
% 182.43/182.09 [1845]~E(x18451,x18452)+E(f861(x18453,x18454,x18455,x18456,x18457,x18451),f861(x18453,x18454,x18455,x18456,x18457,x18452))
% 182.43/182.09 [1846]~E(x18461,x18462)+E(f674(x18461,x18463,x18464,x18465,x18466),f674(x18462,x18463,x18464,x18465,x18466))
% 182.43/182.09 [1847]~E(x18471,x18472)+E(f674(x18473,x18471,x18474,x18475,x18476),f674(x18473,x18472,x18474,x18475,x18476))
% 182.43/182.09 [1848]~E(x18481,x18482)+E(f674(x18483,x18484,x18481,x18485,x18486),f674(x18483,x18484,x18482,x18485,x18486))
% 182.43/182.09 [1849]~E(x18491,x18492)+E(f674(x18493,x18494,x18495,x18491,x18496),f674(x18493,x18494,x18495,x18492,x18496))
% 182.43/182.09 [1850]~E(x18501,x18502)+E(f674(x18503,x18504,x18505,x18506,x18501),f674(x18503,x18504,x18505,x18506,x18502))
% 182.43/182.09 [1851]~E(x18511,x18512)+E(f649(x18511,x18513,x18514,x18515),f649(x18512,x18513,x18514,x18515))
% 182.43/182.09 [1852]~E(x18521,x18522)+E(f649(x18523,x18521,x18524,x18525),f649(x18523,x18522,x18524,x18525))
% 182.43/182.09 [1853]~E(x18531,x18532)+E(f649(x18533,x18534,x18531,x18535),f649(x18533,x18534,x18532,x18535))
% 182.43/182.09 [1854]~E(x18541,x18542)+E(f649(x18543,x18544,x18545,x18541),f649(x18543,x18544,x18545,x18542))
% 182.43/182.09 [1855]~E(x18551,x18552)+E(f557(x18551,x18553,x18554),f557(x18552,x18553,x18554))
% 182.43/182.09 [1856]~E(x18561,x18562)+E(f557(x18563,x18561,x18564),f557(x18563,x18562,x18564))
% 182.43/182.09 [1857]~E(x18571,x18572)+E(f557(x18573,x18574,x18571),f557(x18573,x18574,x18572))
% 182.43/182.09 [1858]~E(x18581,x18582)+E(f688(x18581,x18583),f688(x18582,x18583))
% 182.43/182.09 [1859]~E(x18591,x18592)+E(f688(x18593,x18591),f688(x18593,x18592))
% 182.43/182.09 [1860]~E(x18601,x18602)+E(f330(x18601,x18603,x18604),f330(x18602,x18603,x18604))
% 182.43/182.09 [1861]~E(x18611,x18612)+E(f330(x18613,x18611,x18614),f330(x18613,x18612,x18614))
% 182.43/182.09 [1862]~E(x18621,x18622)+E(f330(x18623,x18624,x18621),f330(x18623,x18624,x18622))
% 182.43/182.09 [1863]~E(x18631,x18632)+E(f602(x18631,x18633,x18634),f602(x18632,x18633,x18634))
% 182.43/182.09 [1864]~E(x18641,x18642)+E(f602(x18643,x18641,x18644),f602(x18643,x18642,x18644))
% 182.43/182.09 [1865]~E(x18651,x18652)+E(f602(x18653,x18654,x18651),f602(x18653,x18654,x18652))
% 182.43/182.09 [1866]~E(x18661,x18662)+E(f647(x18661,x18663,x18664,x18665),f647(x18662,x18663,x18664,x18665))
% 182.43/182.09 [1867]~E(x18671,x18672)+E(f647(x18673,x18671,x18674,x18675),f647(x18673,x18672,x18674,x18675))
% 182.43/182.09 [1868]~E(x18681,x18682)+E(f647(x18683,x18684,x18681,x18685),f647(x18683,x18684,x18682,x18685))
% 182.43/182.09 [1869]~E(x18691,x18692)+E(f647(x18693,x18694,x18695,x18691),f647(x18693,x18694,x18695,x18692))
% 182.43/182.09 [1870]~E(x18701,x18702)+E(f836(x18701,x18703),f836(x18702,x18703))
% 182.43/182.09 [1871]~E(x18711,x18712)+E(f836(x18713,x18711),f836(x18713,x18712))
% 182.43/182.09 [1872]~E(x18721,x18722)+E(f494(x18721,x18723),f494(x18722,x18723))
% 182.43/182.09 [1873]~E(x18731,x18732)+E(f494(x18733,x18731),f494(x18733,x18732))
% 182.43/182.09 [1874]~E(x18741,x18742)+E(f327(x18741),f327(x18742))
% 182.43/182.09 [1875]~E(x18751,x18752)+E(f774(x18751,x18753,x18754,x18755),f774(x18752,x18753,x18754,x18755))
% 182.43/182.09 [1876]~E(x18761,x18762)+E(f774(x18763,x18761,x18764,x18765),f774(x18763,x18762,x18764,x18765))
% 182.43/182.09 [1877]~E(x18771,x18772)+E(f774(x18773,x18774,x18771,x18775),f774(x18773,x18774,x18772,x18775))
% 182.43/182.09 [1878]~E(x18781,x18782)+E(f774(x18783,x18784,x18785,x18781),f774(x18783,x18784,x18785,x18782))
% 182.43/182.09 [1879]~E(x18791,x18792)+E(f704(x18791,x18793,x18794,x18795),f704(x18792,x18793,x18794,x18795))
% 182.43/182.09 [1880]~E(x18801,x18802)+E(f704(x18803,x18801,x18804,x18805),f704(x18803,x18802,x18804,x18805))
% 182.43/182.09 [1881]~E(x18811,x18812)+E(f704(x18813,x18814,x18811,x18815),f704(x18813,x18814,x18812,x18815))
% 182.43/182.09 [1882]~E(x18821,x18822)+E(f704(x18823,x18824,x18825,x18821),f704(x18823,x18824,x18825,x18822))
% 182.43/182.09 [1883]~E(x18831,x18832)+E(f783(x18831,x18833),f783(x18832,x18833))
% 182.43/182.09 [1884]~E(x18841,x18842)+E(f783(x18843,x18841),f783(x18843,x18842))
% 182.43/182.09 [1885]~E(x18851,x18852)+E(f873(x18851,x18853),f873(x18852,x18853))
% 182.43/182.09 [1886]~E(x18861,x18862)+E(f873(x18863,x18861),f873(x18863,x18862))
% 182.43/182.09 [1887]~E(x18871,x18872)+E(f607(x18871,x18873,x18874,x18875),f607(x18872,x18873,x18874,x18875))
% 182.43/182.09 [1888]~E(x18881,x18882)+E(f607(x18883,x18881,x18884,x18885),f607(x18883,x18882,x18884,x18885))
% 182.43/182.09 [1889]~E(x18891,x18892)+E(f607(x18893,x18894,x18891,x18895),f607(x18893,x18894,x18892,x18895))
% 182.43/182.09 [1890]~E(x18901,x18902)+E(f607(x18903,x18904,x18905,x18901),f607(x18903,x18904,x18905,x18902))
% 182.43/182.09 [1891]~E(x18911,x18912)+E(f798(x18911,x18913,x18914),f798(x18912,x18913,x18914))
% 182.43/182.09 [1892]~E(x18921,x18922)+E(f798(x18923,x18921,x18924),f798(x18923,x18922,x18924))
% 182.43/182.09 [1893]~E(x18931,x18932)+E(f798(x18933,x18934,x18931),f798(x18933,x18934,x18932))
% 182.43/182.09 [1894]~E(x18941,x18942)+E(f601(x18941,x18943,x18944),f601(x18942,x18943,x18944))
% 182.43/182.09 [1895]~E(x18951,x18952)+E(f601(x18953,x18951,x18954),f601(x18953,x18952,x18954))
% 182.43/182.09 [1896]~E(x18961,x18962)+E(f601(x18963,x18964,x18961),f601(x18963,x18964,x18962))
% 182.43/182.09 [1897]~E(x18971,x18972)+E(f561(x18971,x18973,x18974),f561(x18972,x18973,x18974))
% 182.43/182.09 [1898]~E(x18981,x18982)+E(f561(x18983,x18981,x18984),f561(x18983,x18982,x18984))
% 182.43/182.09 [1899]~E(x18991,x18992)+E(f561(x18993,x18994,x18991),f561(x18993,x18994,x18992))
% 182.43/182.09 [1900]~E(x19001,x19002)+E(f523(x19001,x19003),f523(x19002,x19003))
% 182.43/182.09 [1901]~E(x19011,x19012)+E(f523(x19013,x19011),f523(x19013,x19012))
% 182.43/182.09 [1902]~E(x19021,x19022)+E(f520(x19021,x19023,x19024,x19025),f520(x19022,x19023,x19024,x19025))
% 182.43/182.09 [1903]~E(x19031,x19032)+E(f520(x19033,x19031,x19034,x19035),f520(x19033,x19032,x19034,x19035))
% 182.43/182.09 [1904]~E(x19041,x19042)+E(f520(x19043,x19044,x19041,x19045),f520(x19043,x19044,x19042,x19045))
% 182.43/182.09 [1905]~E(x19051,x19052)+E(f520(x19053,x19054,x19055,x19051),f520(x19053,x19054,x19055,x19052))
% 182.43/182.09 [1906]~E(x19061,x19062)+E(f677(x19061,x19063,x19064,x19065),f677(x19062,x19063,x19064,x19065))
% 182.43/182.09 [1907]~E(x19071,x19072)+E(f677(x19073,x19071,x19074,x19075),f677(x19073,x19072,x19074,x19075))
% 182.43/182.09 [1908]~E(x19081,x19082)+E(f677(x19083,x19084,x19081,x19085),f677(x19083,x19084,x19082,x19085))
% 182.43/182.09 [1909]~E(x19091,x19092)+E(f677(x19093,x19094,x19095,x19091),f677(x19093,x19094,x19095,x19092))
% 182.43/182.09 [1910]~E(x19101,x19102)+E(f853(x19101,x19103,x19104,x19105,x19106),f853(x19102,x19103,x19104,x19105,x19106))
% 182.43/182.09 [1911]~E(x19111,x19112)+E(f853(x19113,x19111,x19114,x19115,x19116),f853(x19113,x19112,x19114,x19115,x19116))
% 182.43/182.09 [1912]~E(x19121,x19122)+E(f853(x19123,x19124,x19121,x19125,x19126),f853(x19123,x19124,x19122,x19125,x19126))
% 182.43/182.09 [1913]~E(x19131,x19132)+E(f853(x19133,x19134,x19135,x19131,x19136),f853(x19133,x19134,x19135,x19132,x19136))
% 182.43/182.09 [1914]~E(x19141,x19142)+E(f853(x19143,x19144,x19145,x19146,x19141),f853(x19143,x19144,x19145,x19146,x19142))
% 182.43/182.09 [1915]~E(x19151,x19152)+E(f334(x19151,x19153,x19154,x19155),f334(x19152,x19153,x19154,x19155))
% 182.43/182.09 [1916]~E(x19161,x19162)+E(f334(x19163,x19161,x19164,x19165),f334(x19163,x19162,x19164,x19165))
% 182.43/182.09 [1917]~E(x19171,x19172)+E(f334(x19173,x19174,x19171,x19175),f334(x19173,x19174,x19172,x19175))
% 182.43/182.09 [1918]~E(x19181,x19182)+E(f334(x19183,x19184,x19185,x19181),f334(x19183,x19184,x19185,x19182))
% 182.43/182.09 [1919]~E(x19191,x19192)+E(f825(x19191,x19193,x19194,x19195),f825(x19192,x19193,x19194,x19195))
% 182.43/182.09 [1920]~E(x19201,x19202)+E(f825(x19203,x19201,x19204,x19205),f825(x19203,x19202,x19204,x19205))
% 182.43/182.09 [1921]~E(x19211,x19212)+E(f825(x19213,x19214,x19211,x19215),f825(x19213,x19214,x19212,x19215))
% 182.43/182.09 [1922]~E(x19221,x19222)+E(f825(x19223,x19224,x19225,x19221),f825(x19223,x19224,x19225,x19222))
% 182.43/182.09 [1923]~E(x19231,x19232)+E(f360(x19231,x19233,x19234),f360(x19232,x19233,x19234))
% 182.43/182.09 [1924]~E(x19241,x19242)+E(f360(x19243,x19241,x19244),f360(x19243,x19242,x19244))
% 182.43/182.09 [1925]~E(x19251,x19252)+E(f360(x19253,x19254,x19251),f360(x19253,x19254,x19252))
% 182.43/182.09 [1926]~E(x19261,x19262)+E(f689(x19261,x19263),f689(x19262,x19263))
% 182.43/182.09 [1927]~E(x19271,x19272)+E(f689(x19273,x19271),f689(x19273,x19272))
% 182.43/182.09 [1928]~E(x19281,x19282)+E(f591(x19281,x19283,x19284,x19285,x19286),f591(x19282,x19283,x19284,x19285,x19286))
% 182.43/182.09 [1929]~E(x19291,x19292)+E(f591(x19293,x19291,x19294,x19295,x19296),f591(x19293,x19292,x19294,x19295,x19296))
% 182.43/182.09 [1930]~E(x19301,x19302)+E(f591(x19303,x19304,x19301,x19305,x19306),f591(x19303,x19304,x19302,x19305,x19306))
% 182.43/182.09 [1931]~E(x19311,x19312)+E(f591(x19313,x19314,x19315,x19311,x19316),f591(x19313,x19314,x19315,x19312,x19316))
% 182.43/182.09 [1932]~E(x19321,x19322)+E(f591(x19323,x19324,x19325,x19326,x19321),f591(x19323,x19324,x19325,x19326,x19322))
% 182.43/182.09 [1933]~E(x19331,x19332)+E(f612(x19331,x19333,x19334,x19335),f612(x19332,x19333,x19334,x19335))
% 182.43/182.09 [1934]~E(x19341,x19342)+E(f612(x19343,x19341,x19344,x19345),f612(x19343,x19342,x19344,x19345))
% 182.43/182.09 [1935]~E(x19351,x19352)+E(f612(x19353,x19354,x19351,x19355),f612(x19353,x19354,x19352,x19355))
% 182.43/182.09 [1936]~E(x19361,x19362)+E(f612(x19363,x19364,x19365,x19361),f612(x19363,x19364,x19365,x19362))
% 182.43/182.09 [1937]~E(x19371,x19372)+E(f202(x19371,x19373,x19374,x19375,x19376,x19377,x19378),f202(x19372,x19373,x19374,x19375,x19376,x19377,x19378))
% 182.43/182.09 [1938]~E(x19381,x19382)+E(f202(x19383,x19381,x19384,x19385,x19386,x19387,x19388),f202(x19383,x19382,x19384,x19385,x19386,x19387,x19388))
% 182.43/182.09 [1939]~E(x19391,x19392)+E(f202(x19393,x19394,x19391,x19395,x19396,x19397,x19398),f202(x19393,x19394,x19392,x19395,x19396,x19397,x19398))
% 182.43/182.09 [1940]~E(x19401,x19402)+E(f202(x19403,x19404,x19405,x19401,x19406,x19407,x19408),f202(x19403,x19404,x19405,x19402,x19406,x19407,x19408))
% 182.43/182.09 [1941]~E(x19411,x19412)+E(f202(x19413,x19414,x19415,x19416,x19411,x19417,x19418),f202(x19413,x19414,x19415,x19416,x19412,x19417,x19418))
% 182.43/182.09 [1942]~E(x19421,x19422)+E(f202(x19423,x19424,x19425,x19426,x19427,x19421,x19428),f202(x19423,x19424,x19425,x19426,x19427,x19422,x19428))
% 182.43/182.09 [1943]~E(x19431,x19432)+E(f202(x19433,x19434,x19435,x19436,x19437,x19438,x19431),f202(x19433,x19434,x19435,x19436,x19437,x19438,x19432))
% 182.43/182.09 [1944]~E(x19441,x19442)+E(f134(x19441,x19443),f134(x19442,x19443))
% 182.43/182.09 [1945]~E(x19451,x19452)+E(f134(x19453,x19451),f134(x19453,x19452))
% 182.43/182.09 [1946]~E(x19461,x19462)+E(f702(x19461,x19463,x19464),f702(x19462,x19463,x19464))
% 182.43/182.09 [1947]~E(x19471,x19472)+E(f702(x19473,x19471,x19474),f702(x19473,x19472,x19474))
% 182.43/182.09 [1948]~E(x19481,x19482)+E(f702(x19483,x19484,x19481),f702(x19483,x19484,x19482))
% 182.43/182.09 [1949]~E(x19491,x19492)+E(f193(x19491,x19493),f193(x19492,x19493))
% 182.43/182.09 [1950]~E(x19501,x19502)+E(f193(x19503,x19501),f193(x19503,x19502))
% 182.43/182.09 [1951]~E(x19511,x19512)+E(f734(x19511,x19513,x19514),f734(x19512,x19513,x19514))
% 182.43/182.09 [1952]~E(x19521,x19522)+E(f734(x19523,x19521,x19524),f734(x19523,x19522,x19524))
% 182.43/182.09 [1953]~E(x19531,x19532)+E(f734(x19533,x19534,x19531),f734(x19533,x19534,x19532))
% 182.43/182.09 [1954]~E(x19541,x19542)+E(f690(x19541,x19543,x19544),f690(x19542,x19543,x19544))
% 182.43/182.09 [1955]~E(x19551,x19552)+E(f690(x19553,x19551,x19554),f690(x19553,x19552,x19554))
% 182.43/182.09 [1956]~E(x19561,x19562)+E(f690(x19563,x19564,x19561),f690(x19563,x19564,x19562))
% 182.43/182.09 [1957]~E(x19571,x19572)+E(f586(x19571,x19573,x19574,x19575),f586(x19572,x19573,x19574,x19575))
% 182.43/182.09 [1958]~E(x19581,x19582)+E(f586(x19583,x19581,x19584,x19585),f586(x19583,x19582,x19584,x19585))
% 182.43/182.09 [1959]~E(x19591,x19592)+E(f586(x19593,x19594,x19591,x19595),f586(x19593,x19594,x19592,x19595))
% 182.43/182.09 [1960]~E(x19601,x19602)+E(f586(x19603,x19604,x19605,x19601),f586(x19603,x19604,x19605,x19602))
% 182.43/182.09 [1961]~E(x19611,x19612)+E(f587(x19611,x19613,x19614,x19615,x19616),f587(x19612,x19613,x19614,x19615,x19616))
% 182.43/182.09 [1962]~E(x19621,x19622)+E(f587(x19623,x19621,x19624,x19625,x19626),f587(x19623,x19622,x19624,x19625,x19626))
% 182.43/182.09 [1963]~E(x19631,x19632)+E(f587(x19633,x19634,x19631,x19635,x19636),f587(x19633,x19634,x19632,x19635,x19636))
% 182.43/182.09 [1964]~E(x19641,x19642)+E(f587(x19643,x19644,x19645,x19641,x19646),f587(x19643,x19644,x19645,x19642,x19646))
% 182.43/182.09 [1965]~E(x19651,x19652)+E(f587(x19653,x19654,x19655,x19656,x19651),f587(x19653,x19654,x19655,x19656,x19652))
% 182.43/182.09 [1966]~E(x19661,x19662)+E(f831(x19661,x19663,x19664,x19665,x19666,x19667,x19668,x19669),f831(x19662,x19663,x19664,x19665,x19666,x19667,x19668,x19669))
% 182.43/182.09 [1967]~E(x19671,x19672)+E(f831(x19673,x19671,x19674,x19675,x19676,x19677,x19678,x19679),f831(x19673,x19672,x19674,x19675,x19676,x19677,x19678,x19679))
% 182.43/182.09 [1968]~E(x19681,x19682)+E(f831(x19683,x19684,x19681,x19685,x19686,x19687,x19688,x19689),f831(x19683,x19684,x19682,x19685,x19686,x19687,x19688,x19689))
% 182.43/182.09 [1969]~E(x19691,x19692)+E(f831(x19693,x19694,x19695,x19691,x19696,x19697,x19698,x19699),f831(x19693,x19694,x19695,x19692,x19696,x19697,x19698,x19699))
% 182.43/182.09 [1970]~E(x19701,x19702)+E(f831(x19703,x19704,x19705,x19706,x19701,x19707,x19708,x19709),f831(x19703,x19704,x19705,x19706,x19702,x19707,x19708,x19709))
% 182.43/182.09 [1971]~E(x19711,x19712)+E(f831(x19713,x19714,x19715,x19716,x19717,x19711,x19718,x19719),f831(x19713,x19714,x19715,x19716,x19717,x19712,x19718,x19719))
% 182.43/182.09 [1972]~E(x19721,x19722)+E(f831(x19723,x19724,x19725,x19726,x19727,x19728,x19721,x19729),f831(x19723,x19724,x19725,x19726,x19727,x19728,x19722,x19729))
% 182.43/182.09 [1973]~E(x19731,x19732)+E(f831(x19733,x19734,x19735,x19736,x19737,x19738,x19739,x19731),f831(x19733,x19734,x19735,x19736,x19737,x19738,x19739,x19732))
% 182.43/182.09 [1974]~E(x19741,x19742)+E(f108(x19741,x19743,x19744),f108(x19742,x19743,x19744))
% 182.43/182.09 [1975]~E(x19751,x19752)+E(f108(x19753,x19751,x19754),f108(x19753,x19752,x19754))
% 182.43/182.09 [1976]~E(x19761,x19762)+E(f108(x19763,x19764,x19761),f108(x19763,x19764,x19762))
% 182.43/182.09 [1977]~E(x19771,x19772)+E(f781(x19771),f781(x19772))
% 182.43/182.09 [1978]~E(x19781,x19782)+E(f718(x19781,x19783,x19784),f718(x19782,x19783,x19784))
% 182.43/182.09 [1979]~E(x19791,x19792)+E(f718(x19793,x19791,x19794),f718(x19793,x19792,x19794))
% 182.43/182.09 [1980]~E(x19801,x19802)+E(f718(x19803,x19804,x19801),f718(x19803,x19804,x19802))
% 182.43/182.09 [1981]~E(x19811,x19812)+E(f290(x19811,x19813,x19814,x19815),f290(x19812,x19813,x19814,x19815))
% 182.43/182.09 [1982]~E(x19821,x19822)+E(f290(x19823,x19821,x19824,x19825),f290(x19823,x19822,x19824,x19825))
% 182.43/182.09 [1983]~E(x19831,x19832)+E(f290(x19833,x19834,x19831,x19835),f290(x19833,x19834,x19832,x19835))
% 182.43/182.09 [1984]~E(x19841,x19842)+E(f290(x19843,x19844,x19845,x19841),f290(x19843,x19844,x19845,x19842))
% 182.43/182.09 [1985]~E(x19851,x19852)+E(f643(x19851,x19853,x19854,x19855),f643(x19852,x19853,x19854,x19855))
% 182.43/182.09 [1986]~E(x19861,x19862)+E(f643(x19863,x19861,x19864,x19865),f643(x19863,x19862,x19864,x19865))
% 182.43/182.09 [1987]~E(x19871,x19872)+E(f643(x19873,x19874,x19871,x19875),f643(x19873,x19874,x19872,x19875))
% 182.43/182.09 [1988]~E(x19881,x19882)+E(f643(x19883,x19884,x19885,x19881),f643(x19883,x19884,x19885,x19882))
% 182.43/182.09 [1989]~E(x19891,x19892)+E(f19(x19891,x19893,x19894,x19895),f19(x19892,x19893,x19894,x19895))
% 182.43/182.09 [1990]~E(x19901,x19902)+E(f19(x19903,x19901,x19904,x19905),f19(x19903,x19902,x19904,x19905))
% 182.43/182.09 [1991]~E(x19911,x19912)+E(f19(x19913,x19914,x19911,x19915),f19(x19913,x19914,x19912,x19915))
% 182.43/182.09 [1992]~E(x19921,x19922)+E(f19(x19923,x19924,x19925,x19921),f19(x19923,x19924,x19925,x19922))
% 182.43/182.09 [1993]~E(x19931,x19932)+E(f745(x19931,x19933,x19934),f745(x19932,x19933,x19934))
% 182.43/182.09 [1994]~E(x19941,x19942)+E(f745(x19943,x19941,x19944),f745(x19943,x19942,x19944))
% 182.43/182.09 [1995]~E(x19951,x19952)+E(f745(x19953,x19954,x19951),f745(x19953,x19954,x19952))
% 182.43/182.09 [1996]~E(x19961,x19962)+E(f708(x19961,x19963,x19964,x19965),f708(x19962,x19963,x19964,x19965))
% 182.43/182.09 [1997]~E(x19971,x19972)+E(f708(x19973,x19971,x19974,x19975),f708(x19973,x19972,x19974,x19975))
% 182.43/182.09 [1998]~E(x19981,x19982)+E(f708(x19983,x19984,x19981,x19985),f708(x19983,x19984,x19982,x19985))
% 182.43/182.09 [1999]~E(x19991,x19992)+E(f708(x19993,x19994,x19995,x19991),f708(x19993,x19994,x19995,x19992))
% 182.43/182.09 [2000]~E(x20001,x20002)+E(f800(x20001),f800(x20002))
% 182.43/182.09 [2001]~E(x20011,x20012)+E(f779(x20011,x20013,x20014,x20015,x20016),f779(x20012,x20013,x20014,x20015,x20016))
% 182.43/182.09 [2002]~E(x20021,x20022)+E(f779(x20023,x20021,x20024,x20025,x20026),f779(x20023,x20022,x20024,x20025,x20026))
% 182.43/182.09 [2003]~E(x20031,x20032)+E(f779(x20033,x20034,x20031,x20035,x20036),f779(x20033,x20034,x20032,x20035,x20036))
% 182.43/182.09 [2004]~E(x20041,x20042)+E(f779(x20043,x20044,x20045,x20041,x20046),f779(x20043,x20044,x20045,x20042,x20046))
% 182.43/182.09 [2005]~E(x20051,x20052)+E(f779(x20053,x20054,x20055,x20056,x20051),f779(x20053,x20054,x20055,x20056,x20052))
% 182.43/182.09 [2006]~E(x20061,x20062)+E(f856(x20061,x20063,x20064,x20065),f856(x20062,x20063,x20064,x20065))
% 182.43/182.09 [2007]~E(x20071,x20072)+E(f856(x20073,x20071,x20074,x20075),f856(x20073,x20072,x20074,x20075))
% 182.43/182.09 [2008]~E(x20081,x20082)+E(f856(x20083,x20084,x20081,x20085),f856(x20083,x20084,x20082,x20085))
% 182.43/182.09 [2009]~E(x20091,x20092)+E(f856(x20093,x20094,x20095,x20091),f856(x20093,x20094,x20095,x20092))
% 182.43/182.09 [2010]~E(x20101,x20102)+E(f664(x20101,x20103,x20104,x20105),f664(x20102,x20103,x20104,x20105))
% 182.43/182.09 [2011]~E(x20111,x20112)+E(f664(x20113,x20111,x20114,x20115),f664(x20113,x20112,x20114,x20115))
% 182.43/182.09 [2012]~E(x20121,x20122)+E(f664(x20123,x20124,x20121,x20125),f664(x20123,x20124,x20122,x20125))
% 182.43/182.09 [2013]~E(x20131,x20132)+E(f664(x20133,x20134,x20135,x20131),f664(x20133,x20134,x20135,x20132))
% 182.43/182.09 [2014]~E(x20141,x20142)+E(f582(x20141,x20143,x20144),f582(x20142,x20143,x20144))
% 182.43/182.09 [2015]~E(x20151,x20152)+E(f582(x20153,x20151,x20154),f582(x20153,x20152,x20154))
% 182.43/182.09 [2016]~E(x20161,x20162)+E(f582(x20163,x20164,x20161),f582(x20163,x20164,x20162))
% 182.43/182.09 [2017]~E(x20171,x20172)+E(f37(x20171),f37(x20172))
% 182.43/182.09 [2018]~E(x20181,x20182)+E(f450(x20181,x20183,x20184),f450(x20182,x20183,x20184))
% 182.43/182.09 [2019]~E(x20191,x20192)+E(f450(x20193,x20191,x20194),f450(x20193,x20192,x20194))
% 182.43/182.09 [2020]~E(x20201,x20202)+E(f450(x20203,x20204,x20201),f450(x20203,x20204,x20202))
% 182.43/182.09 [2021]~E(x20211,x20212)+E(f458(x20211,x20213,x20214),f458(x20212,x20213,x20214))
% 182.43/182.09 [2022]~E(x20221,x20222)+E(f458(x20223,x20221,x20224),f458(x20223,x20222,x20224))
% 182.43/182.09 [2023]~E(x20231,x20232)+E(f458(x20233,x20234,x20231),f458(x20233,x20234,x20232))
% 182.43/182.09 [2024]~E(x20241,x20242)+E(f467(x20241,x20243,x20244),f467(x20242,x20243,x20244))
% 182.43/182.09 [2025]~E(x20251,x20252)+E(f467(x20253,x20251,x20254),f467(x20253,x20252,x20254))
% 182.43/182.09 [2026]~E(x20261,x20262)+E(f467(x20263,x20264,x20261),f467(x20263,x20264,x20262))
% 182.43/182.09 [2027]~E(x20271,x20272)+E(f713(x20271,x20273,x20274,x20275,x20276,x20277,x20278,x20279),f713(x20272,x20273,x20274,x20275,x20276,x20277,x20278,x20279))
% 182.43/182.09 [2028]~E(x20281,x20282)+E(f713(x20283,x20281,x20284,x20285,x20286,x20287,x20288,x20289),f713(x20283,x20282,x20284,x20285,x20286,x20287,x20288,x20289))
% 182.43/182.09 [2029]~E(x20291,x20292)+E(f713(x20293,x20294,x20291,x20295,x20296,x20297,x20298,x20299),f713(x20293,x20294,x20292,x20295,x20296,x20297,x20298,x20299))
% 182.43/182.09 [2030]~E(x20301,x20302)+E(f713(x20303,x20304,x20305,x20301,x20306,x20307,x20308,x20309),f713(x20303,x20304,x20305,x20302,x20306,x20307,x20308,x20309))
% 182.43/182.09 [2031]~E(x20311,x20312)+E(f713(x20313,x20314,x20315,x20316,x20311,x20317,x20318,x20319),f713(x20313,x20314,x20315,x20316,x20312,x20317,x20318,x20319))
% 182.43/182.09 [2032]~E(x20321,x20322)+E(f713(x20323,x20324,x20325,x20326,x20327,x20321,x20328,x20329),f713(x20323,x20324,x20325,x20326,x20327,x20322,x20328,x20329))
% 182.43/182.09 [2033]~E(x20331,x20332)+E(f713(x20333,x20334,x20335,x20336,x20337,x20338,x20331,x20339),f713(x20333,x20334,x20335,x20336,x20337,x20338,x20332,x20339))
% 182.43/182.09 [2034]~E(x20341,x20342)+E(f713(x20343,x20344,x20345,x20346,x20347,x20348,x20349,x20341),f713(x20343,x20344,x20345,x20346,x20347,x20348,x20349,x20342))
% 182.43/182.09 [2035]~E(x20351,x20352)+E(f780(x20351,x20353,x20354,x20355,x20356),f780(x20352,x20353,x20354,x20355,x20356))
% 182.43/182.09 [2036]~E(x20361,x20362)+E(f780(x20363,x20361,x20364,x20365,x20366),f780(x20363,x20362,x20364,x20365,x20366))
% 182.43/182.09 [2037]~E(x20371,x20372)+E(f780(x20373,x20374,x20371,x20375,x20376),f780(x20373,x20374,x20372,x20375,x20376))
% 182.43/182.09 [2038]~E(x20381,x20382)+E(f780(x20383,x20384,x20385,x20381,x20386),f780(x20383,x20384,x20385,x20382,x20386))
% 182.43/182.09 [2039]~E(x20391,x20392)+E(f780(x20393,x20394,x20395,x20396,x20391),f780(x20393,x20394,x20395,x20396,x20392))
% 182.43/182.09 [2040]~E(x20401,x20402)+E(f682(x20401,x20403),f682(x20402,x20403))
% 182.43/182.09 [2041]~E(x20411,x20412)+E(f682(x20413,x20411),f682(x20413,x20412))
% 182.43/182.09 [2042]~E(x20421,x20422)+E(f17(x20421,x20423,x20424,x20425),f17(x20422,x20423,x20424,x20425))
% 182.43/182.09 [2043]~E(x20431,x20432)+E(f17(x20433,x20431,x20434,x20435),f17(x20433,x20432,x20434,x20435))
% 182.43/182.09 [2044]~E(x20441,x20442)+E(f17(x20443,x20444,x20441,x20445),f17(x20443,x20444,x20442,x20445))
% 182.43/182.09 [2045]~E(x20451,x20452)+E(f17(x20453,x20454,x20455,x20451),f17(x20453,x20454,x20455,x20452))
% 182.43/182.09 [2046]~E(x20461,x20462)+E(f222(x20461,x20463,x20464,x20465),f222(x20462,x20463,x20464,x20465))
% 182.43/182.09 [2047]~E(x20471,x20472)+E(f222(x20473,x20471,x20474,x20475),f222(x20473,x20472,x20474,x20475))
% 182.43/182.09 [2048]~E(x20481,x20482)+E(f222(x20483,x20484,x20481,x20485),f222(x20483,x20484,x20482,x20485))
% 182.43/182.09 [2049]~E(x20491,x20492)+E(f222(x20493,x20494,x20495,x20491),f222(x20493,x20494,x20495,x20492))
% 182.43/182.09 [2050]~E(x20501,x20502)+E(f515(x20501),f515(x20502))
% 182.43/182.09 [2051]~E(x20511,x20512)+E(f887(x20511,x20513),f887(x20512,x20513))
% 182.43/182.09 [2052]~E(x20521,x20522)+E(f887(x20523,x20521),f887(x20523,x20522))
% 182.43/182.09 [2053]~E(x20531,x20532)+E(f814(x20531,x20533,x20534,x20535),f814(x20532,x20533,x20534,x20535))
% 182.43/182.09 [2054]~E(x20541,x20542)+E(f814(x20543,x20541,x20544,x20545),f814(x20543,x20542,x20544,x20545))
% 182.43/182.09 [2055]~E(x20551,x20552)+E(f814(x20553,x20554,x20551,x20555),f814(x20553,x20554,x20552,x20555))
% 182.43/182.09 [2056]~E(x20561,x20562)+E(f814(x20563,x20564,x20565,x20561),f814(x20563,x20564,x20565,x20562))
% 182.43/182.09 [2057]~E(x20571,x20572)+E(f685(x20571,x20573),f685(x20572,x20573))
% 182.43/182.09 [2058]~E(x20581,x20582)+E(f685(x20583,x20581),f685(x20583,x20582))
% 182.43/182.09 [2059]~E(x20591,x20592)+E(f697(x20591,x20593,x20594),f697(x20592,x20593,x20594))
% 182.43/182.09 [2060]~E(x20601,x20602)+E(f697(x20603,x20601,x20604),f697(x20603,x20602,x20604))
% 182.43/182.09 [2061]~E(x20611,x20612)+E(f697(x20613,x20614,x20611),f697(x20613,x20614,x20612))
% 182.43/182.09 [2062]~E(x20621,x20622)+E(f588(x20621,x20623,x20624,x20625,x20626),f588(x20622,x20623,x20624,x20625,x20626))
% 182.43/182.09 [2063]~E(x20631,x20632)+E(f588(x20633,x20631,x20634,x20635,x20636),f588(x20633,x20632,x20634,x20635,x20636))
% 182.43/182.09 [2064]~E(x20641,x20642)+E(f588(x20643,x20644,x20641,x20645,x20646),f588(x20643,x20644,x20642,x20645,x20646))
% 182.43/182.09 [2065]~E(x20651,x20652)+E(f588(x20653,x20654,x20655,x20651,x20656),f588(x20653,x20654,x20655,x20652,x20656))
% 182.43/182.09 [2066]~E(x20661,x20662)+E(f588(x20663,x20664,x20665,x20666,x20661),f588(x20663,x20664,x20665,x20666,x20662))
% 182.43/182.09 [2067]~E(x20671,x20672)+E(f449(x20671,x20673,x20674,x20675,x20676,x20677,x20678,x20679),f449(x20672,x20673,x20674,x20675,x20676,x20677,x20678,x20679))
% 182.43/182.09 [2068]~E(x20681,x20682)+E(f449(x20683,x20681,x20684,x20685,x20686,x20687,x20688,x20689),f449(x20683,x20682,x20684,x20685,x20686,x20687,x20688,x20689))
% 182.43/182.09 [2069]~E(x20691,x20692)+E(f449(x20693,x20694,x20691,x20695,x20696,x20697,x20698,x20699),f449(x20693,x20694,x20692,x20695,x20696,x20697,x20698,x20699))
% 182.43/182.09 [2070]~E(x20701,x20702)+E(f449(x20703,x20704,x20705,x20701,x20706,x20707,x20708,x20709),f449(x20703,x20704,x20705,x20702,x20706,x20707,x20708,x20709))
% 182.43/182.09 [2071]~E(x20711,x20712)+E(f449(x20713,x20714,x20715,x20716,x20711,x20717,x20718,x20719),f449(x20713,x20714,x20715,x20716,x20712,x20717,x20718,x20719))
% 182.43/182.09 [2072]~E(x20721,x20722)+E(f449(x20723,x20724,x20725,x20726,x20727,x20721,x20728,x20729),f449(x20723,x20724,x20725,x20726,x20727,x20722,x20728,x20729))
% 182.43/182.09 [2073]~E(x20731,x20732)+E(f449(x20733,x20734,x20735,x20736,x20737,x20738,x20731,x20739),f449(x20733,x20734,x20735,x20736,x20737,x20738,x20732,x20739))
% 182.43/182.09 [2074]~E(x20741,x20742)+E(f449(x20743,x20744,x20745,x20746,x20747,x20748,x20749,x20741),f449(x20743,x20744,x20745,x20746,x20747,x20748,x20749,x20742))
% 182.43/182.09 [2075]~E(x20751,x20752)+E(f583(x20751,x20753,x20754),f583(x20752,x20753,x20754))
% 182.43/182.09 [2076]~E(x20761,x20762)+E(f583(x20763,x20761,x20764),f583(x20763,x20762,x20764))
% 182.43/182.09 [2077]~E(x20771,x20772)+E(f583(x20773,x20774,x20771),f583(x20773,x20774,x20772))
% 182.43/182.09 [2078]~E(x20781,x20782)+E(f534(x20781,x20783,x20784,x20785,x20786,x20787),f534(x20782,x20783,x20784,x20785,x20786,x20787))
% 182.43/182.09 [2079]~E(x20791,x20792)+E(f534(x20793,x20791,x20794,x20795,x20796,x20797),f534(x20793,x20792,x20794,x20795,x20796,x20797))
% 182.43/182.09 [2080]~E(x20801,x20802)+E(f534(x20803,x20804,x20801,x20805,x20806,x20807),f534(x20803,x20804,x20802,x20805,x20806,x20807))
% 182.43/182.09 [2081]~E(x20811,x20812)+E(f534(x20813,x20814,x20815,x20811,x20816,x20817),f534(x20813,x20814,x20815,x20812,x20816,x20817))
% 182.43/182.09 [2082]~E(x20821,x20822)+E(f534(x20823,x20824,x20825,x20826,x20821,x20827),f534(x20823,x20824,x20825,x20826,x20822,x20827))
% 182.43/182.09 [2083]~E(x20831,x20832)+E(f534(x20833,x20834,x20835,x20836,x20837,x20831),f534(x20833,x20834,x20835,x20836,x20837,x20832))
% 182.43/182.09 [2084]~E(x20841,x20842)+E(f564(x20841,x20843,x20844),f564(x20842,x20843,x20844))
% 182.43/182.09 [2085]~E(x20851,x20852)+E(f564(x20853,x20851,x20854),f564(x20853,x20852,x20854))
% 182.43/182.09 [2086]~E(x20861,x20862)+E(f564(x20863,x20864,x20861),f564(x20863,x20864,x20862))
% 182.43/182.09 [2087]~E(x20871,x20872)+E(f186(x20871,x20873,x20874,x20875),f186(x20872,x20873,x20874,x20875))
% 182.43/182.09 [2088]~E(x20881,x20882)+E(f186(x20883,x20881,x20884,x20885),f186(x20883,x20882,x20884,x20885))
% 182.43/182.09 [2089]~E(x20891,x20892)+E(f186(x20893,x20894,x20891,x20895),f186(x20893,x20894,x20892,x20895))
% 182.43/182.09 [2090]~E(x20901,x20902)+E(f186(x20903,x20904,x20905,x20901),f186(x20903,x20904,x20905,x20902))
% 182.43/182.09 [2091]~E(x20911,x20912)+E(f342(x20911,x20913,x20914,x20915),f342(x20912,x20913,x20914,x20915))
% 182.43/182.09 [2092]~E(x20921,x20922)+E(f342(x20923,x20921,x20924,x20925),f342(x20923,x20922,x20924,x20925))
% 182.43/182.09 [2093]~E(x20931,x20932)+E(f342(x20933,x20934,x20931,x20935),f342(x20933,x20934,x20932,x20935))
% 182.43/182.09 [2094]~E(x20941,x20942)+E(f342(x20943,x20944,x20945,x20941),f342(x20943,x20944,x20945,x20942))
% 182.43/182.09 [2095]~E(x20951,x20952)+E(f822(x20951,x20953,x20954,x20955,x20956,x20957,x20958,x20959),f822(x20952,x20953,x20954,x20955,x20956,x20957,x20958,x20959))
% 182.43/182.09 [2096]~E(x20961,x20962)+E(f822(x20963,x20961,x20964,x20965,x20966,x20967,x20968,x20969),f822(x20963,x20962,x20964,x20965,x20966,x20967,x20968,x20969))
% 182.43/182.09 [2097]~E(x20971,x20972)+E(f822(x20973,x20974,x20971,x20975,x20976,x20977,x20978,x20979),f822(x20973,x20974,x20972,x20975,x20976,x20977,x20978,x20979))
% 182.43/182.09 [2098]~E(x20981,x20982)+E(f822(x20983,x20984,x20985,x20981,x20986,x20987,x20988,x20989),f822(x20983,x20984,x20985,x20982,x20986,x20987,x20988,x20989))
% 182.43/182.09 [2099]~E(x20991,x20992)+E(f822(x20993,x20994,x20995,x20996,x20991,x20997,x20998,x20999),f822(x20993,x20994,x20995,x20996,x20992,x20997,x20998,x20999))
% 182.43/182.09 [2100]~E(x21001,x21002)+E(f822(x21003,x21004,x21005,x21006,x21007,x21001,x21008,x21009),f822(x21003,x21004,x21005,x21006,x21007,x21002,x21008,x21009))
% 182.43/182.09 [2101]~E(x21011,x21012)+E(f822(x21013,x21014,x21015,x21016,x21017,x21018,x21011,x21019),f822(x21013,x21014,x21015,x21016,x21017,x21018,x21012,x21019))
% 182.43/182.09 [2102]~E(x21021,x21022)+E(f822(x21023,x21024,x21025,x21026,x21027,x21028,x21029,x21021),f822(x21023,x21024,x21025,x21026,x21027,x21028,x21029,x21022))
% 182.43/182.09 [2103]~E(x21031,x21032)+E(f671(x21031,x21033),f671(x21032,x21033))
% 182.43/182.09 [2104]~E(x21041,x21042)+E(f671(x21043,x21041),f671(x21043,x21042))
% 182.43/182.09 [2105]~E(x21051,x21052)+E(f544(x21051,x21053),f544(x21052,x21053))
% 182.43/182.09 [2106]~E(x21061,x21062)+E(f544(x21063,x21061),f544(x21063,x21062))
% 182.43/182.09 [2107]~E(x21071,x21072)+E(f36(x21071),f36(x21072))
% 182.43/182.09 [2108]~E(x21081,x21082)+E(f577(x21081,x21083,x21084,x21085,x21086),f577(x21082,x21083,x21084,x21085,x21086))
% 182.43/182.09 [2109]~E(x21091,x21092)+E(f577(x21093,x21091,x21094,x21095,x21096),f577(x21093,x21092,x21094,x21095,x21096))
% 182.43/182.09 [2110]~E(x21101,x21102)+E(f577(x21103,x21104,x21101,x21105,x21106),f577(x21103,x21104,x21102,x21105,x21106))
% 182.43/182.09 [2111]~E(x21111,x21112)+E(f577(x21113,x21114,x21115,x21111,x21116),f577(x21113,x21114,x21115,x21112,x21116))
% 182.43/182.09 [2112]~E(x21121,x21122)+E(f577(x21123,x21124,x21125,x21126,x21121),f577(x21123,x21124,x21125,x21126,x21122))
% 182.43/182.09 [2113]~E(x21131,x21132)+E(f366(x21131,x21133),f366(x21132,x21133))
% 182.43/182.09 [2114]~E(x21141,x21142)+E(f366(x21143,x21141),f366(x21143,x21142))
% 182.43/182.09 [2115]~E(x21151,x21152)+E(f638(x21151,x21153,x21154),f638(x21152,x21153,x21154))
% 182.43/182.09 [2116]~E(x21161,x21162)+E(f638(x21163,x21161,x21164),f638(x21163,x21162,x21164))
% 182.43/182.09 [2117]~E(x21171,x21172)+E(f638(x21173,x21174,x21171),f638(x21173,x21174,x21172))
% 182.43/182.09 [2118]~E(x21181,x21182)+E(f791(x21181,x21183,x21184),f791(x21182,x21183,x21184))
% 182.43/182.09 [2119]~E(x21191,x21192)+E(f791(x21193,x21191,x21194),f791(x21193,x21192,x21194))
% 182.43/182.09 [2120]~E(x21201,x21202)+E(f791(x21203,x21204,x21201),f791(x21203,x21204,x21202))
% 182.43/182.09 [2121]~E(x21211,x21212)+E(f725(x21211,x21213,x21214),f725(x21212,x21213,x21214))
% 182.43/182.09 [2122]~E(x21221,x21222)+E(f725(x21223,x21221,x21224),f725(x21223,x21222,x21224))
% 182.43/182.09 [2123]~E(x21231,x21232)+E(f725(x21233,x21234,x21231),f725(x21233,x21234,x21232))
% 182.43/182.09 [2124]~E(x21241,x21242)+E(f771(x21241,x21243,x21244,x21245,x21246,x21247,x21248),f771(x21242,x21243,x21244,x21245,x21246,x21247,x21248))
% 182.43/182.09 [2125]~E(x21251,x21252)+E(f771(x21253,x21251,x21254,x21255,x21256,x21257,x21258),f771(x21253,x21252,x21254,x21255,x21256,x21257,x21258))
% 182.43/182.09 [2126]~E(x21261,x21262)+E(f771(x21263,x21264,x21261,x21265,x21266,x21267,x21268),f771(x21263,x21264,x21262,x21265,x21266,x21267,x21268))
% 182.43/182.09 [2127]~E(x21271,x21272)+E(f771(x21273,x21274,x21275,x21271,x21276,x21277,x21278),f771(x21273,x21274,x21275,x21272,x21276,x21277,x21278))
% 182.43/182.09 [2128]~E(x21281,x21282)+E(f771(x21283,x21284,x21285,x21286,x21281,x21287,x21288),f771(x21283,x21284,x21285,x21286,x21282,x21287,x21288))
% 182.43/182.09 [2129]~E(x21291,x21292)+E(f771(x21293,x21294,x21295,x21296,x21297,x21291,x21298),f771(x21293,x21294,x21295,x21296,x21297,x21292,x21298))
% 182.43/182.09 [2130]~E(x21301,x21302)+E(f771(x21303,x21304,x21305,x21306,x21307,x21308,x21301),f771(x21303,x21304,x21305,x21306,x21307,x21308,x21302))
% 182.43/182.09 [2131]~E(x21311,x21312)+E(f775(x21311,x21313,x21314),f775(x21312,x21313,x21314))
% 182.43/182.09 [2132]~E(x21321,x21322)+E(f775(x21323,x21321,x21324),f775(x21323,x21322,x21324))
% 182.43/182.09 [2133]~E(x21331,x21332)+E(f775(x21333,x21334,x21331),f775(x21333,x21334,x21332))
% 182.43/182.09 [2134]~E(x21341,x21342)+E(f433(x21341,x21343,x21344),f433(x21342,x21343,x21344))
% 182.43/182.09 [2135]~E(x21351,x21352)+E(f433(x21353,x21351,x21354),f433(x21353,x21352,x21354))
% 182.43/182.09 [2136]~E(x21361,x21362)+E(f433(x21363,x21364,x21361),f433(x21363,x21364,x21362))
% 182.43/182.09 [2137]~E(x21371,x21372)+E(f344(x21371,x21373,x21374,x21375),f344(x21372,x21373,x21374,x21375))
% 182.43/182.09 [2138]~E(x21381,x21382)+E(f344(x21383,x21381,x21384,x21385),f344(x21383,x21382,x21384,x21385))
% 182.43/182.09 [2139]~E(x21391,x21392)+E(f344(x21393,x21394,x21391,x21395),f344(x21393,x21394,x21392,x21395))
% 182.43/182.09 [2140]~E(x21401,x21402)+E(f344(x21403,x21404,x21405,x21401),f344(x21403,x21404,x21405,x21402))
% 182.43/182.09 [2141]~E(x21411,x21412)+E(f361(x21411,x21413),f361(x21412,x21413))
% 182.43/182.09 [2142]~E(x21421,x21422)+E(f361(x21423,x21421),f361(x21423,x21422))
% 182.43/182.09 [2143]~E(x21431,x21432)+E(f421(x21431,x21433,x21434,x21435),f421(x21432,x21433,x21434,x21435))
% 182.43/182.09 [2144]~E(x21441,x21442)+E(f421(x21443,x21441,x21444,x21445),f421(x21443,x21442,x21444,x21445))
% 182.43/182.09 [2145]~E(x21451,x21452)+E(f421(x21453,x21454,x21451,x21455),f421(x21453,x21454,x21452,x21455))
% 182.43/182.09 [2146]~E(x21461,x21462)+E(f421(x21463,x21464,x21465,x21461),f421(x21463,x21464,x21465,x21462))
% 182.43/182.09 [2147]~E(x21471,x21472)+E(f469(x21471,x21473,x21474,x21475,x21476),f469(x21472,x21473,x21474,x21475,x21476))
% 182.43/182.09 [2148]~E(x21481,x21482)+E(f469(x21483,x21481,x21484,x21485,x21486),f469(x21483,x21482,x21484,x21485,x21486))
% 182.43/182.09 [2149]~E(x21491,x21492)+E(f469(x21493,x21494,x21491,x21495,x21496),f469(x21493,x21494,x21492,x21495,x21496))
% 182.43/182.09 [2150]~E(x21501,x21502)+E(f469(x21503,x21504,x21505,x21501,x21506),f469(x21503,x21504,x21505,x21502,x21506))
% 182.43/182.09 [2151]~E(x21511,x21512)+E(f469(x21513,x21514,x21515,x21516,x21511),f469(x21513,x21514,x21515,x21516,x21512))
% 182.43/182.09 [2152]~E(x21521,x21522)+E(f870(x21521,x21523,x21524),f870(x21522,x21523,x21524))
% 182.43/182.09 [2153]~E(x21531,x21532)+E(f870(x21533,x21531,x21534),f870(x21533,x21532,x21534))
% 182.43/182.09 [2154]~E(x21541,x21542)+E(f870(x21543,x21544,x21541),f870(x21543,x21544,x21542))
% 182.43/182.09 [2155]~E(x21551,x21552)+E(f488(x21551,x21553,x21554,x21555,x21556),f488(x21552,x21553,x21554,x21555,x21556))
% 182.43/182.09 [2156]~E(x21561,x21562)+E(f488(x21563,x21561,x21564,x21565,x21566),f488(x21563,x21562,x21564,x21565,x21566))
% 182.43/182.09 [2157]~E(x21571,x21572)+E(f488(x21573,x21574,x21571,x21575,x21576),f488(x21573,x21574,x21572,x21575,x21576))
% 182.43/182.09 [2158]~E(x21581,x21582)+E(f488(x21583,x21584,x21585,x21581,x21586),f488(x21583,x21584,x21585,x21582,x21586))
% 182.43/182.09 [2159]~E(x21591,x21592)+E(f488(x21593,x21594,x21595,x21596,x21591),f488(x21593,x21594,x21595,x21596,x21592))
% 182.43/182.09 [2160]~E(x21601,x21602)+E(f566(x21601,x21603,x21604,x21605,x21606),f566(x21602,x21603,x21604,x21605,x21606))
% 182.43/182.09 [2161]~E(x21611,x21612)+E(f566(x21613,x21611,x21614,x21615,x21616),f566(x21613,x21612,x21614,x21615,x21616))
% 182.43/182.09 [2162]~E(x21621,x21622)+E(f566(x21623,x21624,x21621,x21625,x21626),f566(x21623,x21624,x21622,x21625,x21626))
% 182.43/182.09 [2163]~E(x21631,x21632)+E(f566(x21633,x21634,x21635,x21631,x21636),f566(x21633,x21634,x21635,x21632,x21636))
% 182.43/182.09 [2164]~E(x21641,x21642)+E(f566(x21643,x21644,x21645,x21646,x21641),f566(x21643,x21644,x21645,x21646,x21642))
% 182.43/182.09 [2165]~E(x21651,x21652)+E(f694(x21651,x21653,x21654),f694(x21652,x21653,x21654))
% 182.43/182.09 [2166]~E(x21661,x21662)+E(f694(x21663,x21661,x21664),f694(x21663,x21662,x21664))
% 182.43/182.09 [2167]~E(x21671,x21672)+E(f694(x21673,x21674,x21671),f694(x21673,x21674,x21672))
% 182.43/182.09 [2168]~E(x21681,x21682)+E(f538(x21681,x21683,x21684,x21685,x21686,x21687),f538(x21682,x21683,x21684,x21685,x21686,x21687))
% 182.43/182.09 [2169]~E(x21691,x21692)+E(f538(x21693,x21691,x21694,x21695,x21696,x21697),f538(x21693,x21692,x21694,x21695,x21696,x21697))
% 182.43/182.09 [2170]~E(x21701,x21702)+E(f538(x21703,x21704,x21701,x21705,x21706,x21707),f538(x21703,x21704,x21702,x21705,x21706,x21707))
% 182.43/182.09 [2171]~E(x21711,x21712)+E(f538(x21713,x21714,x21715,x21711,x21716,x21717),f538(x21713,x21714,x21715,x21712,x21716,x21717))
% 182.43/182.09 [2172]~E(x21721,x21722)+E(f538(x21723,x21724,x21725,x21726,x21721,x21727),f538(x21723,x21724,x21725,x21726,x21722,x21727))
% 182.43/182.09 [2173]~E(x21731,x21732)+E(f538(x21733,x21734,x21735,x21736,x21737,x21731),f538(x21733,x21734,x21735,x21736,x21737,x21732))
% 182.43/182.09 [2174]~E(x21741,x21742)+E(f457(x21741,x21743),f457(x21742,x21743))
% 182.43/182.09 [2175]~E(x21751,x21752)+E(f457(x21753,x21751),f457(x21753,x21752))
% 182.43/182.09 [2176]~E(x21761,x21762)+E(f357(x21761),f357(x21762))
% 182.43/182.09 [2177]~E(x21771,x21772)+E(f892(x21771,x21773,x21774,x21775),f892(x21772,x21773,x21774,x21775))
% 182.43/182.09 [2178]~E(x21781,x21782)+E(f892(x21783,x21781,x21784,x21785),f892(x21783,x21782,x21784,x21785))
% 182.43/182.09 [2179]~E(x21791,x21792)+E(f892(x21793,x21794,x21791,x21795),f892(x21793,x21794,x21792,x21795))
% 182.43/182.09 [2180]~E(x21801,x21802)+E(f892(x21803,x21804,x21805,x21801),f892(x21803,x21804,x21805,x21802))
% 182.43/182.09 [2181]~E(x21811,x21812)+E(f578(x21811,x21813,x21814,x21815,x21816),f578(x21812,x21813,x21814,x21815,x21816))
% 182.43/182.09 [2182]~E(x21821,x21822)+E(f578(x21823,x21821,x21824,x21825,x21826),f578(x21823,x21822,x21824,x21825,x21826))
% 182.43/182.09 [2183]~E(x21831,x21832)+E(f578(x21833,x21834,x21831,x21835,x21836),f578(x21833,x21834,x21832,x21835,x21836))
% 182.43/182.09 [2184]~E(x21841,x21842)+E(f578(x21843,x21844,x21845,x21841,x21846),f578(x21843,x21844,x21845,x21842,x21846))
% 182.43/182.09 [2185]~E(x21851,x21852)+E(f578(x21853,x21854,x21855,x21856,x21851),f578(x21853,x21854,x21855,x21856,x21852))
% 182.43/182.09 [2186]~E(x21861,x21862)+E(f717(x21861,x21863),f717(x21862,x21863))
% 182.43/182.09 [2187]~E(x21871,x21872)+E(f717(x21873,x21871),f717(x21873,x21872))
% 182.43/182.09 [2188]~E(x21881,x21882)+E(f114(x21881),f114(x21882))
% 182.43/182.09 [2189]~E(x21891,x21892)+E(f871(x21891,x21893,x21894,x21895,x21896),f871(x21892,x21893,x21894,x21895,x21896))
% 182.43/182.09 [2190]~E(x21901,x21902)+E(f871(x21903,x21901,x21904,x21905,x21906),f871(x21903,x21902,x21904,x21905,x21906))
% 182.43/182.09 [2191]~E(x21911,x21912)+E(f871(x21913,x21914,x21911,x21915,x21916),f871(x21913,x21914,x21912,x21915,x21916))
% 182.43/182.09 [2192]~E(x21921,x21922)+E(f871(x21923,x21924,x21925,x21921,x21926),f871(x21923,x21924,x21925,x21922,x21926))
% 182.43/182.09 [2193]~E(x21931,x21932)+E(f871(x21933,x21934,x21935,x21936,x21931),f871(x21933,x21934,x21935,x21936,x21932))
% 182.43/182.09 [2194]~E(x21941,x21942)+E(f440(x21941,x21943,x21944,x21945),f440(x21942,x21943,x21944,x21945))
% 182.43/182.09 [2195]~E(x21951,x21952)+E(f440(x21953,x21951,x21954,x21955),f440(x21953,x21952,x21954,x21955))
% 182.43/182.09 [2196]~E(x21961,x21962)+E(f440(x21963,x21964,x21961,x21965),f440(x21963,x21964,x21962,x21965))
% 182.43/182.09 [2197]~E(x21971,x21972)+E(f440(x21973,x21974,x21975,x21971),f440(x21973,x21974,x21975,x21972))
% 182.43/182.09 [2198]~E(x21981,x21982)+E(f785(x21981,x21983),f785(x21982,x21983))
% 182.43/182.09 [2199]~E(x21991,x21992)+E(f785(x21993,x21991),f785(x21993,x21992))
% 182.43/182.09 [2200]~E(x22001,x22002)+E(f189(x22001,x22003,x22004,x22005),f189(x22002,x22003,x22004,x22005))
% 182.43/182.09 [2201]~E(x22011,x22012)+E(f189(x22013,x22011,x22014,x22015),f189(x22013,x22012,x22014,x22015))
% 182.43/182.09 [2202]~E(x22021,x22022)+E(f189(x22023,x22024,x22021,x22025),f189(x22023,x22024,x22022,x22025))
% 182.43/182.09 [2203]~E(x22031,x22032)+E(f189(x22033,x22034,x22035,x22031),f189(x22033,x22034,x22035,x22032))
% 182.43/182.09 [2204]~E(x22041,x22042)+E(f33(x22041),f33(x22042))
% 182.43/182.09 [2205]~E(x22051,x22052)+E(f729(x22051,x22053),f729(x22052,x22053))
% 182.43/182.09 [2206]~E(x22061,x22062)+E(f729(x22063,x22061),f729(x22063,x22062))
% 182.43/182.09 [2207]~E(x22071,x22072)+E(f881(x22071,x22073,x22074),f881(x22072,x22073,x22074))
% 182.43/182.09 [2208]~E(x22081,x22082)+E(f881(x22083,x22081,x22084),f881(x22083,x22082,x22084))
% 182.43/182.09 [2209]~E(x22091,x22092)+E(f881(x22093,x22094,x22091),f881(x22093,x22094,x22092))
% 182.43/182.09 [2210]~E(x22101,x22102)+E(f492(x22101,x22103),f492(x22102,x22103))
% 182.43/182.09 [2211]~E(x22111,x22112)+E(f492(x22113,x22111),f492(x22113,x22112))
% 182.43/182.09 [2212]~E(x22121,x22122)+E(f857(x22121,x22123,x22124,x22125,x22126),f857(x22122,x22123,x22124,x22125,x22126))
% 182.43/182.09 [2213]~E(x22131,x22132)+E(f857(x22133,x22131,x22134,x22135,x22136),f857(x22133,x22132,x22134,x22135,x22136))
% 182.43/182.09 [2214]~E(x22141,x22142)+E(f857(x22143,x22144,x22141,x22145,x22146),f857(x22143,x22144,x22142,x22145,x22146))
% 182.43/182.09 [2215]~E(x22151,x22152)+E(f857(x22153,x22154,x22155,x22151,x22156),f857(x22153,x22154,x22155,x22152,x22156))
% 182.43/182.09 [2216]~E(x22161,x22162)+E(f857(x22163,x22164,x22165,x22166,x22161),f857(x22163,x22164,x22165,x22166,x22162))
% 182.43/182.09 [2217]~E(x22171,x22172)+E(f801(x22171,x22173),f801(x22172,x22173))
% 182.43/182.09 [2218]~E(x22181,x22182)+E(f801(x22183,x22181),f801(x22183,x22182))
% 182.43/182.09 [2219]~E(x22191,x22192)+E(f768(x22191,x22193,x22194,x22195,x22196),f768(x22192,x22193,x22194,x22195,x22196))
% 182.43/182.09 [2220]~E(x22201,x22202)+E(f768(x22203,x22201,x22204,x22205,x22206),f768(x22203,x22202,x22204,x22205,x22206))
% 182.43/182.09 [2221]~E(x22211,x22212)+E(f768(x22213,x22214,x22211,x22215,x22216),f768(x22213,x22214,x22212,x22215,x22216))
% 182.43/182.09 [2222]~E(x22221,x22222)+E(f768(x22223,x22224,x22225,x22221,x22226),f768(x22223,x22224,x22225,x22222,x22226))
% 182.43/182.09 [2223]~E(x22231,x22232)+E(f768(x22233,x22234,x22235,x22236,x22231),f768(x22233,x22234,x22235,x22236,x22232))
% 182.43/182.09 [2224]~E(x22241,x22242)+E(f681(x22241,x22243,x22244,x22245,x22246),f681(x22242,x22243,x22244,x22245,x22246))
% 182.43/182.09 [2225]~E(x22251,x22252)+E(f681(x22253,x22251,x22254,x22255,x22256),f681(x22253,x22252,x22254,x22255,x22256))
% 182.43/182.09 [2226]~E(x22261,x22262)+E(f681(x22263,x22264,x22261,x22265,x22266),f681(x22263,x22264,x22262,x22265,x22266))
% 182.43/182.09 [2227]~E(x22271,x22272)+E(f681(x22273,x22274,x22275,x22271,x22276),f681(x22273,x22274,x22275,x22272,x22276))
% 182.43/182.09 [2228]~E(x22281,x22282)+E(f681(x22283,x22284,x22285,x22286,x22281),f681(x22283,x22284,x22285,x22286,x22282))
% 182.43/182.09 [2229]~E(x22291,x22292)+E(f553(x22291,x22293,x22294),f553(x22292,x22293,x22294))
% 182.43/182.09 [2230]~E(x22301,x22302)+E(f553(x22303,x22301,x22304),f553(x22303,x22302,x22304))
% 182.43/182.09 [2231]~E(x22311,x22312)+E(f553(x22313,x22314,x22311),f553(x22313,x22314,x22312))
% 182.43/182.09 [2232]~E(x22321,x22322)+E(f195(x22321),f195(x22322))
% 182.43/182.09 [2233]~E(x22331,x22332)+E(f460(x22331,x22333,x22334),f460(x22332,x22333,x22334))
% 182.43/182.09 [2234]~E(x22341,x22342)+E(f460(x22343,x22341,x22344),f460(x22343,x22342,x22344))
% 182.43/182.09 [2235]~E(x22351,x22352)+E(f460(x22353,x22354,x22351),f460(x22353,x22354,x22352))
% 182.43/182.09 [2236]~E(x22361,x22362)+E(f270(x22361,x22363,x22364,x22365),f270(x22362,x22363,x22364,x22365))
% 182.43/182.09 [2237]~E(x22371,x22372)+E(f270(x22373,x22371,x22374,x22375),f270(x22373,x22372,x22374,x22375))
% 182.43/182.09 [2238]~E(x22381,x22382)+E(f270(x22383,x22384,x22381,x22385),f270(x22383,x22384,x22382,x22385))
% 182.43/182.09 [2239]~E(x22391,x22392)+E(f270(x22393,x22394,x22395,x22391),f270(x22393,x22394,x22395,x22392))
% 182.43/182.09 [2240]~E(x22401,x22402)+E(f811(x22401,x22403,x22404),f811(x22402,x22403,x22404))
% 182.43/182.09 [2241]~E(x22411,x22412)+E(f811(x22413,x22411,x22414),f811(x22413,x22412,x22414))
% 182.43/182.09 [2242]~E(x22421,x22422)+E(f811(x22423,x22424,x22421),f811(x22423,x22424,x22422))
% 182.43/182.09 [2243]~E(x22431,x22432)+E(f516(x22431,x22433,x22434),f516(x22432,x22433,x22434))
% 182.43/182.09 [2244]~E(x22441,x22442)+E(f516(x22443,x22441,x22444),f516(x22443,x22442,x22444))
% 182.43/182.09 [2245]~E(x22451,x22452)+E(f516(x22453,x22454,x22451),f516(x22453,x22454,x22452))
% 182.43/182.09 [2246]~E(x22461,x22462)+E(f223(x22461,x22463),f223(x22462,x22463))
% 182.43/182.09 [2247]~E(x22471,x22472)+E(f223(x22473,x22471),f223(x22473,x22472))
% 182.43/182.09 [2248]~E(x22481,x22482)+E(f736(x22481,x22483,x22484),f736(x22482,x22483,x22484))
% 182.43/182.09 [2249]~E(x22491,x22492)+E(f736(x22493,x22491,x22494),f736(x22493,x22492,x22494))
% 182.43/182.09 [2250]~E(x22501,x22502)+E(f736(x22503,x22504,x22501),f736(x22503,x22504,x22502))
% 182.43/182.09 [2251]~E(x22511,x22512)+E(f596(x22511,x22513,x22514),f596(x22512,x22513,x22514))
% 182.43/182.09 [2252]~E(x22521,x22522)+E(f596(x22523,x22521,x22524),f596(x22523,x22522,x22524))
% 182.43/182.09 [2253]~E(x22531,x22532)+E(f596(x22533,x22534,x22531),f596(x22533,x22534,x22532))
% 182.43/182.09 [2254]~E(x22541,x22542)+E(f630(x22541,x22543,x22544,x22545,x22546),f630(x22542,x22543,x22544,x22545,x22546))
% 182.43/182.09 [2255]~E(x22551,x22552)+E(f630(x22553,x22551,x22554,x22555,x22556),f630(x22553,x22552,x22554,x22555,x22556))
% 182.43/182.09 [2256]~E(x22561,x22562)+E(f630(x22563,x22564,x22561,x22565,x22566),f630(x22563,x22564,x22562,x22565,x22566))
% 182.43/182.09 [2257]~E(x22571,x22572)+E(f630(x22573,x22574,x22575,x22571,x22576),f630(x22573,x22574,x22575,x22572,x22576))
% 182.43/182.09 [2258]~E(x22581,x22582)+E(f630(x22583,x22584,x22585,x22586,x22581),f630(x22583,x22584,x22585,x22586,x22582))
% 182.43/182.09 [2259]~E(x22591,x22592)+E(f197(x22591,x22593,x22594,x22595),f197(x22592,x22593,x22594,x22595))
% 182.43/182.09 [2260]~E(x22601,x22602)+E(f197(x22603,x22601,x22604,x22605),f197(x22603,x22602,x22604,x22605))
% 182.43/182.09 [2261]~E(x22611,x22612)+E(f197(x22613,x22614,x22611,x22615),f197(x22613,x22614,x22612,x22615))
% 182.43/182.09 [2262]~E(x22621,x22622)+E(f197(x22623,x22624,x22625,x22621),f197(x22623,x22624,x22625,x22622))
% 182.43/182.09 [2263]~E(x22631,x22632)+E(f262(x22631,x22633,x22634,x22635),f262(x22632,x22633,x22634,x22635))
% 182.43/182.09 [2264]~E(x22641,x22642)+E(f262(x22643,x22641,x22644,x22645),f262(x22643,x22642,x22644,x22645))
% 182.43/182.09 [2265]~E(x22651,x22652)+E(f262(x22653,x22654,x22651,x22655),f262(x22653,x22654,x22652,x22655))
% 182.43/182.09 [2266]~E(x22661,x22662)+E(f262(x22663,x22664,x22665,x22661),f262(x22663,x22664,x22665,x22662))
% 182.43/182.09 [2267]~E(x22671,x22672)+E(f829(x22671,x22673,x22674,x22675,x22676,x22677,x22678),f829(x22672,x22673,x22674,x22675,x22676,x22677,x22678))
% 182.43/182.09 [2268]~E(x22681,x22682)+E(f829(x22683,x22681,x22684,x22685,x22686,x22687,x22688),f829(x22683,x22682,x22684,x22685,x22686,x22687,x22688))
% 182.43/182.09 [2269]~E(x22691,x22692)+E(f829(x22693,x22694,x22691,x22695,x22696,x22697,x22698),f829(x22693,x22694,x22692,x22695,x22696,x22697,x22698))
% 182.43/182.09 [2270]~E(x22701,x22702)+E(f829(x22703,x22704,x22705,x22701,x22706,x22707,x22708),f829(x22703,x22704,x22705,x22702,x22706,x22707,x22708))
% 182.43/182.09 [2271]~E(x22711,x22712)+E(f829(x22713,x22714,x22715,x22716,x22711,x22717,x22718),f829(x22713,x22714,x22715,x22716,x22712,x22717,x22718))
% 182.43/182.09 [2272]~E(x22721,x22722)+E(f829(x22723,x22724,x22725,x22726,x22727,x22721,x22728),f829(x22723,x22724,x22725,x22726,x22727,x22722,x22728))
% 182.43/182.09 [2273]~E(x22731,x22732)+E(f829(x22733,x22734,x22735,x22736,x22737,x22738,x22731),f829(x22733,x22734,x22735,x22736,x22737,x22738,x22732))
% 182.43/182.09 [2274]~E(x22741,x22742)+E(f686(x22741,x22743),f686(x22742,x22743))
% 182.43/182.09 [2275]~E(x22751,x22752)+E(f686(x22753,x22751),f686(x22753,x22752))
% 182.43/182.09 [2276]~E(x22761,x22762)+E(f687(x22761,x22763),f687(x22762,x22763))
% 182.43/182.09 [2277]~E(x22771,x22772)+E(f687(x22773,x22771),f687(x22773,x22772))
% 182.43/182.09 [2278]~E(x22781,x22782)+E(f71(x22781,x22783,x22784,x22785,x22786),f71(x22782,x22783,x22784,x22785,x22786))
% 182.43/182.09 [2279]~E(x22791,x22792)+E(f71(x22793,x22791,x22794,x22795,x22796),f71(x22793,x22792,x22794,x22795,x22796))
% 182.43/182.09 [2280]~E(x22801,x22802)+E(f71(x22803,x22804,x22801,x22805,x22806),f71(x22803,x22804,x22802,x22805,x22806))
% 182.43/182.09 [2281]~E(x22811,x22812)+E(f71(x22813,x22814,x22815,x22811,x22816),f71(x22813,x22814,x22815,x22812,x22816))
% 182.43/182.09 [2282]~E(x22821,x22822)+E(f71(x22823,x22824,x22825,x22826,x22821),f71(x22823,x22824,x22825,x22826,x22822))
% 182.43/182.09 [2283]~E(x22831,x22832)+E(f529(x22831,x22833,x22834),f529(x22832,x22833,x22834))
% 182.43/182.09 [2284]~E(x22841,x22842)+E(f529(x22843,x22841,x22844),f529(x22843,x22842,x22844))
% 182.43/182.09 [2285]~E(x22851,x22852)+E(f529(x22853,x22854,x22851),f529(x22853,x22854,x22852))
% 182.43/182.09 [2286]~E(x22861,x22862)+E(f541(x22861),f541(x22862))
% 182.43/182.09 [2287]~E(x22871,x22872)+E(f464(x22871,x22873,x22874,x22875,x22876),f464(x22872,x22873,x22874,x22875,x22876))
% 182.43/182.09 [2288]~E(x22881,x22882)+E(f464(x22883,x22881,x22884,x22885,x22886),f464(x22883,x22882,x22884,x22885,x22886))
% 182.43/182.09 [2289]~E(x22891,x22892)+E(f464(x22893,x22894,x22891,x22895,x22896),f464(x22893,x22894,x22892,x22895,x22896))
% 182.43/182.09 [2290]~E(x22901,x22902)+E(f464(x22903,x22904,x22905,x22901,x22906),f464(x22903,x22904,x22905,x22902,x22906))
% 182.43/182.09 [2291]~E(x22911,x22912)+E(f464(x22913,x22914,x22915,x22916,x22911),f464(x22913,x22914,x22915,x22916,x22912))
% 182.43/182.09 [2292]~E(x22921,x22922)+E(f667(x22921,x22923,x22924,x22925),f667(x22922,x22923,x22924,x22925))
% 182.43/182.09 [2293]~E(x22931,x22932)+E(f667(x22933,x22931,x22934,x22935),f667(x22933,x22932,x22934,x22935))
% 182.43/182.09 [2294]~E(x22941,x22942)+E(f667(x22943,x22944,x22941,x22945),f667(x22943,x22944,x22942,x22945))
% 182.43/182.09 [2295]~E(x22951,x22952)+E(f667(x22953,x22954,x22955,x22951),f667(x22953,x22954,x22955,x22952))
% 182.43/182.09 [2296]~E(x22961,x22962)+E(f531(x22961,x22963,x22964),f531(x22962,x22963,x22964))
% 182.43/182.09 [2297]~E(x22971,x22972)+E(f531(x22973,x22971,x22974),f531(x22973,x22972,x22974))
% 182.43/182.09 [2298]~E(x22981,x22982)+E(f531(x22983,x22984,x22981),f531(x22983,x22984,x22982))
% 182.43/182.09 [2299]~E(x22991,x22992)+E(f472(x22991,x22993,x22994,x22995),f472(x22992,x22993,x22994,x22995))
% 182.43/182.09 [2300]~E(x23001,x23002)+E(f472(x23003,x23001,x23004,x23005),f472(x23003,x23002,x23004,x23005))
% 182.43/182.09 [2301]~E(x23011,x23012)+E(f472(x23013,x23014,x23011,x23015),f472(x23013,x23014,x23012,x23015))
% 182.43/182.09 [2302]~E(x23021,x23022)+E(f472(x23023,x23024,x23025,x23021),f472(x23023,x23024,x23025,x23022))
% 182.43/182.09 [2303]~E(x23031,x23032)+E(f852(x23031,x23033,x23034,x23035,x23036),f852(x23032,x23033,x23034,x23035,x23036))
% 182.43/182.09 [2304]~E(x23041,x23042)+E(f852(x23043,x23041,x23044,x23045,x23046),f852(x23043,x23042,x23044,x23045,x23046))
% 182.43/182.09 [2305]~E(x23051,x23052)+E(f852(x23053,x23054,x23051,x23055,x23056),f852(x23053,x23054,x23052,x23055,x23056))
% 182.43/182.09 [2306]~E(x23061,x23062)+E(f852(x23063,x23064,x23065,x23061,x23066),f852(x23063,x23064,x23065,x23062,x23066))
% 182.43/182.09 [2307]~E(x23071,x23072)+E(f852(x23073,x23074,x23075,x23076,x23071),f852(x23073,x23074,x23075,x23076,x23072))
% 182.43/182.09 [2308]~E(x23081,x23082)+E(f353(x23081,x23083,x23084,x23085),f353(x23082,x23083,x23084,x23085))
% 182.43/182.09 [2309]~E(x23091,x23092)+E(f353(x23093,x23091,x23094,x23095),f353(x23093,x23092,x23094,x23095))
% 182.43/182.09 [2310]~E(x23101,x23102)+E(f353(x23103,x23104,x23101,x23105),f353(x23103,x23104,x23102,x23105))
% 182.43/182.09 [2311]~E(x23111,x23112)+E(f353(x23113,x23114,x23115,x23111),f353(x23113,x23114,x23115,x23112))
% 182.43/182.09 [2312]~E(x23121,x23122)+E(f453(x23121,x23123,x23124),f453(x23122,x23123,x23124))
% 182.43/182.09 [2313]~E(x23131,x23132)+E(f453(x23133,x23131,x23134),f453(x23133,x23132,x23134))
% 182.43/182.09 [2314]~E(x23141,x23142)+E(f453(x23143,x23144,x23141),f453(x23143,x23144,x23142))
% 182.43/182.09 [2315]~E(x23151,x23152)+E(f555(x23151,x23153),f555(x23152,x23153))
% 182.43/182.09 [2316]~E(x23161,x23162)+E(f555(x23163,x23161),f555(x23163,x23162))
% 182.43/182.09 [2317]~E(x23171,x23172)+E(f859(x23171,x23173,x23174,x23175,x23176),f859(x23172,x23173,x23174,x23175,x23176))
% 182.43/182.09 [2318]~E(x23181,x23182)+E(f859(x23183,x23181,x23184,x23185,x23186),f859(x23183,x23182,x23184,x23185,x23186))
% 182.43/182.09 [2319]~E(x23191,x23192)+E(f859(x23193,x23194,x23191,x23195,x23196),f859(x23193,x23194,x23192,x23195,x23196))
% 182.43/182.09 [2320]~E(x23201,x23202)+E(f859(x23203,x23204,x23205,x23201,x23206),f859(x23203,x23204,x23205,x23202,x23206))
% 182.43/182.09 [2321]~E(x23211,x23212)+E(f859(x23213,x23214,x23215,x23216,x23211),f859(x23213,x23214,x23215,x23216,x23212))
% 182.43/182.09 [2322]~E(x23221,x23222)+E(f413(x23221,x23223,x23224,x23225),f413(x23222,x23223,x23224,x23225))
% 182.43/182.09 [2323]~E(x23231,x23232)+E(f413(x23233,x23231,x23234,x23235),f413(x23233,x23232,x23234,x23235))
% 182.43/182.09 [2324]~E(x23241,x23242)+E(f413(x23243,x23244,x23241,x23245),f413(x23243,x23244,x23242,x23245))
% 182.43/182.09 [2325]~E(x23251,x23252)+E(f413(x23253,x23254,x23255,x23251),f413(x23253,x23254,x23255,x23252))
% 182.43/182.09 [2326]~E(x23261,x23262)+E(f584(x23261,x23263,x23264),f584(x23262,x23263,x23264))
% 182.43/182.09 [2327]~E(x23271,x23272)+E(f584(x23273,x23271,x23274),f584(x23273,x23272,x23274))
% 182.43/182.09 [2328]~E(x23281,x23282)+E(f584(x23283,x23284,x23281),f584(x23283,x23284,x23282))
% 182.43/182.09 [2329]~E(x23291,x23292)+E(f827(x23291,x23293,x23294,x23295,x23296,x23297,x23298,x23299),f827(x23292,x23293,x23294,x23295,x23296,x23297,x23298,x23299))
% 182.43/182.09 [2330]~E(x23301,x23302)+E(f827(x23303,x23301,x23304,x23305,x23306,x23307,x23308,x23309),f827(x23303,x23302,x23304,x23305,x23306,x23307,x23308,x23309))
% 182.43/182.09 [2331]~E(x23311,x23312)+E(f827(x23313,x23314,x23311,x23315,x23316,x23317,x23318,x23319),f827(x23313,x23314,x23312,x23315,x23316,x23317,x23318,x23319))
% 182.43/182.09 [2332]~E(x23321,x23322)+E(f827(x23323,x23324,x23325,x23321,x23326,x23327,x23328,x23329),f827(x23323,x23324,x23325,x23322,x23326,x23327,x23328,x23329))
% 182.43/182.09 [2333]~E(x23331,x23332)+E(f827(x23333,x23334,x23335,x23336,x23331,x23337,x23338,x23339),f827(x23333,x23334,x23335,x23336,x23332,x23337,x23338,x23339))
% 182.43/182.09 [2334]~E(x23341,x23342)+E(f827(x23343,x23344,x23345,x23346,x23347,x23341,x23348,x23349),f827(x23343,x23344,x23345,x23346,x23347,x23342,x23348,x23349))
% 182.43/182.09 [2335]~E(x23351,x23352)+E(f827(x23353,x23354,x23355,x23356,x23357,x23358,x23351,x23359),f827(x23353,x23354,x23355,x23356,x23357,x23358,x23352,x23359))
% 182.43/182.09 [2336]~E(x23361,x23362)+E(f827(x23363,x23364,x23365,x23366,x23367,x23368,x23369,x23361),f827(x23363,x23364,x23365,x23366,x23367,x23368,x23369,x23362))
% 182.43/182.09 [2337]~E(x23371,x23372)+E(f792(x23371,x23373),f792(x23372,x23373))
% 182.43/182.09 [2338]~E(x23381,x23382)+E(f792(x23383,x23381),f792(x23383,x23382))
% 182.43/182.09 [2339]~E(x23391,x23392)+E(f654(x23391,x23393),f654(x23392,x23393))
% 182.43/182.09 [2340]~E(x23401,x23402)+E(f654(x23403,x23401),f654(x23403,x23402))
% 182.43/182.09 [2341]~E(x23411,x23412)+E(f864(x23411,x23413,x23414,x23415),f864(x23412,x23413,x23414,x23415))
% 182.43/182.09 [2342]~E(x23421,x23422)+E(f864(x23423,x23421,x23424,x23425),f864(x23423,x23422,x23424,x23425))
% 182.43/182.09 [2343]~E(x23431,x23432)+E(f864(x23433,x23434,x23431,x23435),f864(x23433,x23434,x23432,x23435))
% 182.43/182.09 [2344]~E(x23441,x23442)+E(f864(x23443,x23444,x23445,x23441),f864(x23443,x23444,x23445,x23442))
% 182.43/182.09 [2345]~E(x23451,x23452)+E(f714(x23451,x23453),f714(x23452,x23453))
% 182.43/182.09 [2346]~E(x23461,x23462)+E(f714(x23463,x23461),f714(x23463,x23462))
% 182.43/182.09 [2347]~E(x23471,x23472)+E(f408(x23471,x23473,x23474,x23475,x23476),f408(x23472,x23473,x23474,x23475,x23476))
% 182.43/182.09 [2348]~E(x23481,x23482)+E(f408(x23483,x23481,x23484,x23485,x23486),f408(x23483,x23482,x23484,x23485,x23486))
% 182.43/182.09 [2349]~E(x23491,x23492)+E(f408(x23493,x23494,x23491,x23495,x23496),f408(x23493,x23494,x23492,x23495,x23496))
% 182.43/182.09 [2350]~E(x23501,x23502)+E(f408(x23503,x23504,x23505,x23501,x23506),f408(x23503,x23504,x23505,x23502,x23506))
% 182.43/182.09 [2351]~E(x23511,x23512)+E(f408(x23513,x23514,x23515,x23516,x23511),f408(x23513,x23514,x23515,x23516,x23512))
% 182.43/182.09 [2352]~E(x23521,x23522)+E(f552(x23521,x23523,x23524,x23525,x23526),f552(x23522,x23523,x23524,x23525,x23526))
% 182.43/182.09 [2353]~E(x23531,x23532)+E(f552(x23533,x23531,x23534,x23535,x23536),f552(x23533,x23532,x23534,x23535,x23536))
% 182.43/182.09 [2354]~E(x23541,x23542)+E(f552(x23543,x23544,x23541,x23545,x23546),f552(x23543,x23544,x23542,x23545,x23546))
% 182.43/182.09 [2355]~E(x23551,x23552)+E(f552(x23553,x23554,x23555,x23551,x23556),f552(x23553,x23554,x23555,x23552,x23556))
% 182.43/182.09 [2356]~E(x23561,x23562)+E(f552(x23563,x23564,x23565,x23566,x23561),f552(x23563,x23564,x23565,x23566,x23562))
% 182.43/182.09 [2357]~E(x23571,x23572)+E(f338(x23571,x23573,x23574,x23575),f338(x23572,x23573,x23574,x23575))
% 182.43/182.09 [2358]~E(x23581,x23582)+E(f338(x23583,x23581,x23584,x23585),f338(x23583,x23582,x23584,x23585))
% 182.43/182.09 [2359]~E(x23591,x23592)+E(f338(x23593,x23594,x23591,x23595),f338(x23593,x23594,x23592,x23595))
% 182.43/182.09 [2360]~E(x23601,x23602)+E(f338(x23603,x23604,x23605,x23601),f338(x23603,x23604,x23605,x23602))
% 182.43/182.09 [2361]~E(x23611,x23612)+E(f237(x23611,x23613,x23614,x23615,x23616,x23617),f237(x23612,x23613,x23614,x23615,x23616,x23617))
% 182.43/182.09 [2362]~E(x23621,x23622)+E(f237(x23623,x23621,x23624,x23625,x23626,x23627),f237(x23623,x23622,x23624,x23625,x23626,x23627))
% 182.43/182.09 [2363]~E(x23631,x23632)+E(f237(x23633,x23634,x23631,x23635,x23636,x23637),f237(x23633,x23634,x23632,x23635,x23636,x23637))
% 182.43/182.09 [2364]~E(x23641,x23642)+E(f237(x23643,x23644,x23645,x23641,x23646,x23647),f237(x23643,x23644,x23645,x23642,x23646,x23647))
% 182.43/182.09 [2365]~E(x23651,x23652)+E(f237(x23653,x23654,x23655,x23656,x23651,x23657),f237(x23653,x23654,x23655,x23656,x23652,x23657))
% 182.43/182.09 [2366]~E(x23661,x23662)+E(f237(x23663,x23664,x23665,x23666,x23667,x23661),f237(x23663,x23664,x23665,x23666,x23667,x23662))
% 182.43/182.09 [2367]~E(x23671,x23672)+E(f701(x23671,x23673,x23674),f701(x23672,x23673,x23674))
% 182.43/182.09 [2368]~E(x23681,x23682)+E(f701(x23683,x23681,x23684),f701(x23683,x23682,x23684))
% 182.43/182.09 [2369]~E(x23691,x23692)+E(f701(x23693,x23694,x23691),f701(x23693,x23694,x23692))
% 182.43/182.09 [2370]~E(x23701,x23702)+E(f401(x23701,x23703,x23704,x23705,x23706),f401(x23702,x23703,x23704,x23705,x23706))
% 182.43/182.09 [2371]~E(x23711,x23712)+E(f401(x23713,x23711,x23714,x23715,x23716),f401(x23713,x23712,x23714,x23715,x23716))
% 182.43/182.09 [2372]~E(x23721,x23722)+E(f401(x23723,x23724,x23721,x23725,x23726),f401(x23723,x23724,x23722,x23725,x23726))
% 182.43/182.09 [2373]~E(x23731,x23732)+E(f401(x23733,x23734,x23735,x23731,x23736),f401(x23733,x23734,x23735,x23732,x23736))
% 182.43/182.09 [2374]~E(x23741,x23742)+E(f401(x23743,x23744,x23745,x23746,x23741),f401(x23743,x23744,x23745,x23746,x23742))
% 182.43/182.09 [2375]~E(x23751,x23752)+E(f500(x23751,x23753,x23754,x23755),f500(x23752,x23753,x23754,x23755))
% 182.43/182.09 [2376]~E(x23761,x23762)+E(f500(x23763,x23761,x23764,x23765),f500(x23763,x23762,x23764,x23765))
% 182.43/182.09 [2377]~E(x23771,x23772)+E(f500(x23773,x23774,x23771,x23775),f500(x23773,x23774,x23772,x23775))
% 182.43/182.09 [2378]~E(x23781,x23782)+E(f500(x23783,x23784,x23785,x23781),f500(x23783,x23784,x23785,x23782))
% 182.43/182.09 [2379]~E(x23791,x23792)+E(f427(x23791,x23793),f427(x23792,x23793))
% 182.43/182.09 [2380]~E(x23801,x23802)+E(f427(x23803,x23801),f427(x23803,x23802))
% 182.43/182.09 [2381]~E(x23811,x23812)+E(f613(x23811,x23813,x23814,x23815),f613(x23812,x23813,x23814,x23815))
% 182.43/182.09 [2382]~E(x23821,x23822)+E(f613(x23823,x23821,x23824,x23825),f613(x23823,x23822,x23824,x23825))
% 182.43/182.09 [2383]~E(x23831,x23832)+E(f613(x23833,x23834,x23831,x23835),f613(x23833,x23834,x23832,x23835))
% 182.43/182.09 [2384]~E(x23841,x23842)+E(f613(x23843,x23844,x23845,x23841),f613(x23843,x23844,x23845,x23842))
% 182.43/182.09 [2385]~E(x23851,x23852)+E(f503(x23851,x23853),f503(x23852,x23853))
% 182.43/182.09 [2386]~E(x23861,x23862)+E(f503(x23863,x23861),f503(x23863,x23862))
% 182.43/182.09 [2387]~E(x23871,x23872)+E(f733(x23871,x23873,x23874),f733(x23872,x23873,x23874))
% 182.43/182.09 [2388]~E(x23881,x23882)+E(f733(x23883,x23881,x23884),f733(x23883,x23882,x23884))
% 182.43/182.09 [2389]~E(x23891,x23892)+E(f733(x23893,x23894,x23891),f733(x23893,x23894,x23892))
% 182.43/182.09 [2390]~E(x23901,x23902)+E(f886(x23901,x23903),f886(x23902,x23903))
% 182.43/182.09 [2391]~E(x23911,x23912)+E(f886(x23913,x23911),f886(x23913,x23912))
% 182.43/182.09 [2392]~E(x23921,x23922)+E(f883(x23921,x23923,x23924),f883(x23922,x23923,x23924))
% 182.43/182.09 [2393]~E(x23931,x23932)+E(f883(x23933,x23931,x23934),f883(x23933,x23932,x23934))
% 182.43/182.09 [2394]~E(x23941,x23942)+E(f883(x23943,x23944,x23941),f883(x23943,x23944,x23942))
% 182.43/182.09 [2395]~E(x23951,x23952)+E(f760(x23951,x23953),f760(x23952,x23953))
% 182.43/182.09 [2396]~E(x23961,x23962)+E(f760(x23963,x23961),f760(x23963,x23962))
% 182.43/182.09 [2397]~E(x23971,x23972)+E(f431(x23971,x23973,x23974,x23975),f431(x23972,x23973,x23974,x23975))
% 182.43/182.09 [2398]~E(x23981,x23982)+E(f431(x23983,x23981,x23984,x23985),f431(x23983,x23982,x23984,x23985))
% 182.43/182.09 [2399]~E(x23991,x23992)+E(f431(x23993,x23994,x23991,x23995),f431(x23993,x23994,x23992,x23995))
% 182.43/182.09 [2400]~E(x24001,x24002)+E(f431(x24003,x24004,x24005,x24001),f431(x24003,x24004,x24005,x24002))
% 182.43/182.09 [2401]~E(x24011,x24012)+E(f679(x24011,x24013,x24014,x24015,x24016),f679(x24012,x24013,x24014,x24015,x24016))
% 182.43/182.09 [2402]~E(x24021,x24022)+E(f679(x24023,x24021,x24024,x24025,x24026),f679(x24023,x24022,x24024,x24025,x24026))
% 182.43/182.09 [2403]~E(x24031,x24032)+E(f679(x24033,x24034,x24031,x24035,x24036),f679(x24033,x24034,x24032,x24035,x24036))
% 182.43/182.09 [2404]~E(x24041,x24042)+E(f679(x24043,x24044,x24045,x24041,x24046),f679(x24043,x24044,x24045,x24042,x24046))
% 182.43/182.09 [2405]~E(x24051,x24052)+E(f679(x24053,x24054,x24055,x24056,x24051),f679(x24053,x24054,x24055,x24056,x24052))
% 182.43/182.09 [2406]~E(x24061,x24062)+E(f471(x24061,x24063),f471(x24062,x24063))
% 182.43/182.09 [2407]~E(x24071,x24072)+E(f471(x24073,x24071),f471(x24073,x24072))
% 182.43/182.09 [2408]~E(x24081,x24082)+E(f772(x24081,x24083),f772(x24082,x24083))
% 182.43/182.09 [2409]~E(x24091,x24092)+E(f772(x24093,x24091),f772(x24093,x24092))
% 182.43/182.09 [2410]~E(x24101,x24102)+E(f383(x24101,x24103),f383(x24102,x24103))
% 182.43/182.09 [2411]~E(x24111,x24112)+E(f383(x24113,x24111),f383(x24113,x24112))
% 182.43/182.09 [2412]~E(x24121,x24122)+E(f874(x24121,x24123),f874(x24122,x24123))
% 182.43/182.09 [2413]~E(x24131,x24132)+E(f874(x24133,x24131),f874(x24133,x24132))
% 182.43/182.09 [2414]~E(x24141,x24142)+E(f350(x24141,x24143,x24144),f350(x24142,x24143,x24144))
% 182.43/182.09 [2415]~E(x24151,x24152)+E(f350(x24153,x24151,x24154),f350(x24153,x24152,x24154))
% 182.43/182.09 [2416]~E(x24161,x24162)+E(f350(x24163,x24164,x24161),f350(x24163,x24164,x24162))
% 182.43/182.09 [2417]~E(x24171,x24172)+E(f755(x24171,x24173,x24174,x24175),f755(x24172,x24173,x24174,x24175))
% 182.43/182.09 [2418]~E(x24181,x24182)+E(f755(x24183,x24181,x24184,x24185),f755(x24183,x24182,x24184,x24185))
% 182.43/182.09 [2419]~E(x24191,x24192)+E(f755(x24193,x24194,x24191,x24195),f755(x24193,x24194,x24192,x24195))
% 182.43/182.09 [2420]~E(x24201,x24202)+E(f755(x24203,x24204,x24205,x24201),f755(x24203,x24204,x24205,x24202))
% 182.43/182.09 [2421]~E(x24211,x24212)+E(f426(x24211,x24213),f426(x24212,x24213))
% 182.43/182.09 [2422]~E(x24221,x24222)+E(f426(x24223,x24221),f426(x24223,x24222))
% 182.43/182.09 [2423]~E(x24231,x24232)+E(f770(x24231,x24233,x24234,x24235),f770(x24232,x24233,x24234,x24235))
% 182.43/182.09 [2424]~E(x24241,x24242)+E(f770(x24243,x24241,x24244,x24245),f770(x24243,x24242,x24244,x24245))
% 182.43/182.09 [2425]~E(x24251,x24252)+E(f770(x24253,x24254,x24251,x24255),f770(x24253,x24254,x24252,x24255))
% 182.43/182.09 [2426]~E(x24261,x24262)+E(f770(x24263,x24264,x24265,x24261),f770(x24263,x24264,x24265,x24262))
% 182.47/182.09 [2427]~E(x24271,x24272)+E(f284(x24271,x24273),f284(x24272,x24273))
% 182.47/182.09 [2428]~E(x24281,x24282)+E(f284(x24283,x24281),f284(x24283,x24282))
% 182.47/182.09 [2429]~E(x24291,x24292)+E(f452(x24291,x24293,x24294),f452(x24292,x24293,x24294))
% 182.47/182.09 [2430]~E(x24301,x24302)+E(f452(x24303,x24301,x24304),f452(x24303,x24302,x24304))
% 182.47/182.09 [2431]~E(x24311,x24312)+E(f452(x24313,x24314,x24311),f452(x24313,x24314,x24312))
% 182.47/182.09 [2432]~E(x24321,x24322)+E(f358(x24321),f358(x24322))
% 182.47/182.09 [2433]~E(x24331,x24332)+E(f707(x24331,x24333),f707(x24332,x24333))
% 182.47/182.09 [2434]~E(x24341,x24342)+E(f707(x24343,x24341),f707(x24343,x24342))
% 182.47/182.09 [2435]~E(x24351,x24352)+E(f435(x24351),f435(x24352))
% 182.47/182.09 [2436]~E(x24361,x24362)+E(f802(x24361),f802(x24362))
% 182.47/182.09 [2437]~E(x24371,x24372)+E(f524(x24371,x24373),f524(x24372,x24373))
% 182.47/182.09 [2438]~E(x24381,x24382)+E(f524(x24383,x24381),f524(x24383,x24382))
% 182.47/182.09 [2439]~E(x24391,x24392)+E(f443(x24391,x24393,x24394),f443(x24392,x24393,x24394))
% 182.47/182.09 [2440]~E(x24401,x24402)+E(f443(x24403,x24401,x24404),f443(x24403,x24402,x24404))
% 182.47/182.09 [2441]~E(x24411,x24412)+E(f443(x24413,x24414,x24411),f443(x24413,x24414,x24412))
% 182.47/182.09 [2442]~E(x24421,x24422)+E(f339(x24421,x24423,x24424),f339(x24422,x24423,x24424))
% 182.47/182.09 [2443]~E(x24431,x24432)+E(f339(x24433,x24431,x24434),f339(x24433,x24432,x24434))
% 182.47/182.09 [2444]~E(x24441,x24442)+E(f339(x24443,x24444,x24441),f339(x24443,x24444,x24442))
% 182.47/182.09 [2445]~E(x24451,x24452)+E(f482(x24451,x24453,x24454,x24455),f482(x24452,x24453,x24454,x24455))
% 182.47/182.09 [2446]~E(x24461,x24462)+E(f482(x24463,x24461,x24464,x24465),f482(x24463,x24462,x24464,x24465))
% 182.47/182.09 [2447]~E(x24471,x24472)+E(f482(x24473,x24474,x24471,x24475),f482(x24473,x24474,x24472,x24475))
% 182.47/182.09 [2448]~E(x24481,x24482)+E(f482(x24483,x24484,x24485,x24481),f482(x24483,x24484,x24485,x24482))
% 182.47/182.09 [2449]~E(x24491,x24492)+E(f684(x24491,x24493,x24494),f684(x24492,x24493,x24494))
% 182.47/182.09 [2450]~E(x24501,x24502)+E(f684(x24503,x24501,x24504),f684(x24503,x24502,x24504))
% 182.47/182.09 [2451]~E(x24511,x24512)+E(f684(x24513,x24514,x24511),f684(x24513,x24514,x24512))
% 182.47/182.09 [2452]~E(x24521,x24522)+E(f676(x24521,x24523),f676(x24522,x24523))
% 182.47/182.09 [2453]~E(x24531,x24532)+E(f676(x24533,x24531),f676(x24533,x24532))
% 182.47/182.09 [2454]~E(x24541,x24542)+E(f830(x24541,x24543,x24544,x24545,x24546,x24547,x24548,x24549),f830(x24542,x24543,x24544,x24545,x24546,x24547,x24548,x24549))
% 182.47/182.09 [2455]~E(x24551,x24552)+E(f830(x24553,x24551,x24554,x24555,x24556,x24557,x24558,x24559),f830(x24553,x24552,x24554,x24555,x24556,x24557,x24558,x24559))
% 182.47/182.09 [2456]~E(x24561,x24562)+E(f830(x24563,x24564,x24561,x24565,x24566,x24567,x24568,x24569),f830(x24563,x24564,x24562,x24565,x24566,x24567,x24568,x24569))
% 182.47/182.09 [2457]~E(x24571,x24572)+E(f830(x24573,x24574,x24575,x24571,x24576,x24577,x24578,x24579),f830(x24573,x24574,x24575,x24572,x24576,x24577,x24578,x24579))
% 182.47/182.09 [2458]~E(x24581,x24582)+E(f830(x24583,x24584,x24585,x24586,x24581,x24587,x24588,x24589),f830(x24583,x24584,x24585,x24586,x24582,x24587,x24588,x24589))
% 182.47/182.09 [2459]~E(x24591,x24592)+E(f830(x24593,x24594,x24595,x24596,x24597,x24591,x24598,x24599),f830(x24593,x24594,x24595,x24596,x24597,x24592,x24598,x24599))
% 182.47/182.09 [2460]~E(x24601,x24602)+E(f830(x24603,x24604,x24605,x24606,x24607,x24608,x24601,x24609),f830(x24603,x24604,x24605,x24606,x24607,x24608,x24602,x24609))
% 182.47/182.09 [2461]~E(x24611,x24612)+E(f830(x24613,x24614,x24615,x24616,x24617,x24618,x24619,x24611),f830(x24613,x24614,x24615,x24616,x24617,x24618,x24619,x24612))
% 182.47/182.09 [2462]~E(x24621,x24622)+E(f485(x24621,x24623,x24624),f485(x24622,x24623,x24624))
% 182.47/182.09 [2463]~E(x24631,x24632)+E(f485(x24633,x24631,x24634),f485(x24633,x24632,x24634))
% 182.47/182.09 [2464]~E(x24641,x24642)+E(f485(x24643,x24644,x24641),f485(x24643,x24644,x24642))
% 182.47/182.09 [2465]~E(x24651,x24652)+E(f220(x24651,x24653,x24654,x24655),f220(x24652,x24653,x24654,x24655))
% 182.47/182.09 [2466]~E(x24661,x24662)+E(f220(x24663,x24661,x24664,x24665),f220(x24663,x24662,x24664,x24665))
% 182.47/182.09 [2467]~E(x24671,x24672)+E(f220(x24673,x24674,x24671,x24675),f220(x24673,x24674,x24672,x24675))
% 182.47/182.09 [2468]~E(x24681,x24682)+E(f220(x24683,x24684,x24685,x24681),f220(x24683,x24684,x24685,x24682))
% 182.47/182.09 [2469]~E(x24691,x24692)+E(f627(x24691,x24693,x24694),f627(x24692,x24693,x24694))
% 182.47/182.09 [2470]~E(x24701,x24702)+E(f627(x24703,x24701,x24704),f627(x24703,x24702,x24704))
% 182.47/182.09 [2471]~E(x24711,x24712)+E(f627(x24713,x24714,x24711),f627(x24713,x24714,x24712))
% 182.47/182.09 [2472]~E(x24721,x24722)+E(f769(x24721,x24723,x24724,x24725,x24726,x24727,x24728),f769(x24722,x24723,x24724,x24725,x24726,x24727,x24728))
% 182.47/182.09 [2473]~E(x24731,x24732)+E(f769(x24733,x24731,x24734,x24735,x24736,x24737,x24738),f769(x24733,x24732,x24734,x24735,x24736,x24737,x24738))
% 182.47/182.09 [2474]~E(x24741,x24742)+E(f769(x24743,x24744,x24741,x24745,x24746,x24747,x24748),f769(x24743,x24744,x24742,x24745,x24746,x24747,x24748))
% 182.47/182.09 [2475]~E(x24751,x24752)+E(f769(x24753,x24754,x24755,x24751,x24756,x24757,x24758),f769(x24753,x24754,x24755,x24752,x24756,x24757,x24758))
% 182.47/182.09 [2476]~E(x24761,x24762)+E(f769(x24763,x24764,x24765,x24766,x24761,x24767,x24768),f769(x24763,x24764,x24765,x24766,x24762,x24767,x24768))
% 182.47/182.09 [2477]~E(x24771,x24772)+E(f769(x24773,x24774,x24775,x24776,x24777,x24771,x24778),f769(x24773,x24774,x24775,x24776,x24777,x24772,x24778))
% 182.47/182.09 [2478]~E(x24781,x24782)+E(f769(x24783,x24784,x24785,x24786,x24787,x24788,x24781),f769(x24783,x24784,x24785,x24786,x24787,x24788,x24782))
% 182.47/182.09 [2479]~E(x24791,x24792)+E(f719(x24791,x24793),f719(x24792,x24793))
% 182.47/182.09 [2480]~E(x24801,x24802)+E(f719(x24803,x24801),f719(x24803,x24802))
% 182.47/182.09 [2481]~E(x24811,x24812)+E(f680(x24811,x24813,x24814,x24815,x24816),f680(x24812,x24813,x24814,x24815,x24816))
% 182.47/182.09 [2482]~E(x24821,x24822)+E(f680(x24823,x24821,x24824,x24825,x24826),f680(x24823,x24822,x24824,x24825,x24826))
% 182.47/182.09 [2483]~E(x24831,x24832)+E(f680(x24833,x24834,x24831,x24835,x24836),f680(x24833,x24834,x24832,x24835,x24836))
% 182.47/182.09 [2484]~E(x24841,x24842)+E(f680(x24843,x24844,x24845,x24841,x24846),f680(x24843,x24844,x24845,x24842,x24846))
% 182.47/182.09 [2485]~E(x24851,x24852)+E(f680(x24853,x24854,x24855,x24856,x24851),f680(x24853,x24854,x24855,x24856,x24852))
% 182.47/182.09 [2486]~E(x24861,x24862)+E(f519(x24861,x24863,x24864),f519(x24862,x24863,x24864))
% 182.47/182.09 [2487]~E(x24871,x24872)+E(f519(x24873,x24871,x24874),f519(x24873,x24872,x24874))
% 182.47/182.09 [2488]~E(x24881,x24882)+E(f519(x24883,x24884,x24881),f519(x24883,x24884,x24882))
% 182.47/182.09 [2489]~E(x24891,x24892)+E(f631(x24891,x24893,x24894,x24895,x24896),f631(x24892,x24893,x24894,x24895,x24896))
% 182.47/182.09 [2490]~E(x24901,x24902)+E(f631(x24903,x24901,x24904,x24905,x24906),f631(x24903,x24902,x24904,x24905,x24906))
% 182.47/182.09 [2491]~E(x24911,x24912)+E(f631(x24913,x24914,x24911,x24915,x24916),f631(x24913,x24914,x24912,x24915,x24916))
% 182.47/182.09 [2492]~E(x24921,x24922)+E(f631(x24923,x24924,x24925,x24921,x24926),f631(x24923,x24924,x24925,x24922,x24926))
% 182.47/182.09 [2493]~E(x24931,x24932)+E(f631(x24933,x24934,x24935,x24936,x24931),f631(x24933,x24934,x24935,x24936,x24932))
% 182.47/182.09 [2494]~E(x24941,x24942)+E(f628(x24941,x24943),f628(x24942,x24943))
% 182.47/182.09 [2495]~E(x24951,x24952)+E(f628(x24953,x24951),f628(x24953,x24952))
% 182.47/182.09 [2496]~E(x24961,x24962)+E(f824(x24961,x24963,x24964,x24965,x24966,x24967,x24968),f824(x24962,x24963,x24964,x24965,x24966,x24967,x24968))
% 182.47/182.09 [2497]~E(x24971,x24972)+E(f824(x24973,x24971,x24974,x24975,x24976,x24977,x24978),f824(x24973,x24972,x24974,x24975,x24976,x24977,x24978))
% 182.47/182.09 [2498]~E(x24981,x24982)+E(f824(x24983,x24984,x24981,x24985,x24986,x24987,x24988),f824(x24983,x24984,x24982,x24985,x24986,x24987,x24988))
% 182.47/182.09 [2499]~E(x24991,x24992)+E(f824(x24993,x24994,x24995,x24991,x24996,x24997,x24998),f824(x24993,x24994,x24995,x24992,x24996,x24997,x24998))
% 182.47/182.09 [2500]~E(x25001,x25002)+E(f824(x25003,x25004,x25005,x25006,x25001,x25007,x25008),f824(x25003,x25004,x25005,x25006,x25002,x25007,x25008))
% 182.47/182.09 [2501]~E(x25011,x25012)+E(f824(x25013,x25014,x25015,x25016,x25017,x25011,x25018),f824(x25013,x25014,x25015,x25016,x25017,x25012,x25018))
% 182.47/182.09 [2502]~E(x25021,x25022)+E(f824(x25023,x25024,x25025,x25026,x25027,x25028,x25021),f824(x25023,x25024,x25025,x25026,x25027,x25028,x25022))
% 182.47/182.09 [2503]~E(x25031,x25032)+E(f803(x25031,x25033,x25034),f803(x25032,x25033,x25034))
% 182.47/182.09 [2504]~E(x25041,x25042)+E(f803(x25043,x25041,x25044),f803(x25043,x25042,x25044))
% 182.47/182.09 [2505]~E(x25051,x25052)+E(f803(x25053,x25054,x25051),f803(x25053,x25054,x25052))
% 182.47/182.09 [2506]~E(x25061,x25062)+E(f828(x25061,x25063,x25064,x25065,x25066,x25067,x25068,x25069),f828(x25062,x25063,x25064,x25065,x25066,x25067,x25068,x25069))
% 182.47/182.09 [2507]~E(x25071,x25072)+E(f828(x25073,x25071,x25074,x25075,x25076,x25077,x25078,x25079),f828(x25073,x25072,x25074,x25075,x25076,x25077,x25078,x25079))
% 182.47/182.09 [2508]~E(x25081,x25082)+E(f828(x25083,x25084,x25081,x25085,x25086,x25087,x25088,x25089),f828(x25083,x25084,x25082,x25085,x25086,x25087,x25088,x25089))
% 182.47/182.09 [2509]~E(x25091,x25092)+E(f828(x25093,x25094,x25095,x25091,x25096,x25097,x25098,x25099),f828(x25093,x25094,x25095,x25092,x25096,x25097,x25098,x25099))
% 182.47/182.09 [2510]~E(x25101,x25102)+E(f828(x25103,x25104,x25105,x25106,x25101,x25107,x25108,x25109),f828(x25103,x25104,x25105,x25106,x25102,x25107,x25108,x25109))
% 182.47/182.09 [2511]~E(x25111,x25112)+E(f828(x25113,x25114,x25115,x25116,x25117,x25111,x25118,x25119),f828(x25113,x25114,x25115,x25116,x25117,x25112,x25118,x25119))
% 182.47/182.09 [2512]~E(x25121,x25122)+E(f828(x25123,x25124,x25125,x25126,x25127,x25128,x25121,x25129),f828(x25123,x25124,x25125,x25126,x25127,x25128,x25122,x25129))
% 182.47/182.09 [2513]~E(x25131,x25132)+E(f828(x25133,x25134,x25135,x25136,x25137,x25138,x25139,x25131),f828(x25133,x25134,x25135,x25136,x25137,x25138,x25139,x25132))
% 182.47/182.09 [2514]~E(x25141,x25142)+E(f533(x25141,x25143,x25144,x25145,x25146,x25147),f533(x25142,x25143,x25144,x25145,x25146,x25147))
% 182.47/182.09 [2515]~E(x25151,x25152)+E(f533(x25153,x25151,x25154,x25155,x25156,x25157),f533(x25153,x25152,x25154,x25155,x25156,x25157))
% 182.47/182.09 [2516]~E(x25161,x25162)+E(f533(x25163,x25164,x25161,x25165,x25166,x25167),f533(x25163,x25164,x25162,x25165,x25166,x25167))
% 182.47/182.09 [2517]~E(x25171,x25172)+E(f533(x25173,x25174,x25175,x25171,x25176,x25177),f533(x25173,x25174,x25175,x25172,x25176,x25177))
% 182.47/182.09 [2518]~E(x25181,x25182)+E(f533(x25183,x25184,x25185,x25186,x25181,x25187),f533(x25183,x25184,x25185,x25186,x25182,x25187))
% 182.47/182.09 [2519]~E(x25191,x25192)+E(f533(x25193,x25194,x25195,x25196,x25197,x25191),f533(x25193,x25194,x25195,x25196,x25197,x25192))
% 182.47/182.09 [2520]~E(x25201,x25202)+E(f356(x25201,x25203,x25204,x25205),f356(x25202,x25203,x25204,x25205))
% 182.47/182.09 [2521]~E(x25211,x25212)+E(f356(x25213,x25211,x25214,x25215),f356(x25213,x25212,x25214,x25215))
% 182.47/182.09 [2522]~E(x25221,x25222)+E(f356(x25223,x25224,x25221,x25225),f356(x25223,x25224,x25222,x25225))
% 182.47/182.09 [2523]~E(x25231,x25232)+E(f356(x25233,x25234,x25235,x25231),f356(x25233,x25234,x25235,x25232))
% 182.47/182.09 [2524]~E(x25241,x25242)+E(f455(x25241,x25243,x25244),f455(x25242,x25243,x25244))
% 182.47/182.09 [2525]~E(x25251,x25252)+E(f455(x25253,x25251,x25254),f455(x25253,x25252,x25254))
% 182.47/182.09 [2526]~E(x25261,x25262)+E(f455(x25263,x25264,x25261),f455(x25263,x25264,x25262))
% 182.47/182.09 [2527]~E(x25271,x25272)+E(f750(x25271,x25273,x25274,x25275),f750(x25272,x25273,x25274,x25275))
% 182.47/182.09 [2528]~E(x25281,x25282)+E(f750(x25283,x25281,x25284,x25285),f750(x25283,x25282,x25284,x25285))
% 182.47/182.09 [2529]~E(x25291,x25292)+E(f750(x25293,x25294,x25291,x25295),f750(x25293,x25294,x25292,x25295))
% 182.47/182.09 [2530]~E(x25301,x25302)+E(f750(x25303,x25304,x25305,x25301),f750(x25303,x25304,x25305,x25302))
% 182.47/182.09 [2531]~E(x25311,x25312)+E(f816(x25311,x25313,x25314,x25315,x25316),f816(x25312,x25313,x25314,x25315,x25316))
% 182.47/182.09 [2532]~E(x25321,x25322)+E(f816(x25323,x25321,x25324,x25325,x25326),f816(x25323,x25322,x25324,x25325,x25326))
% 182.47/182.09 [2533]~E(x25331,x25332)+E(f816(x25333,x25334,x25331,x25335,x25336),f816(x25333,x25334,x25332,x25335,x25336))
% 182.47/182.09 [2534]~E(x25341,x25342)+E(f816(x25343,x25344,x25345,x25341,x25346),f816(x25343,x25344,x25345,x25342,x25346))
% 182.47/182.09 [2535]~E(x25351,x25352)+E(f816(x25353,x25354,x25355,x25356,x25351),f816(x25353,x25354,x25355,x25356,x25352))
% 182.47/182.09 [2536]~E(x25361,x25362)+E(f826(x25361,x25363,x25364,x25365),f826(x25362,x25363,x25364,x25365))
% 182.47/182.09 [2537]~E(x25371,x25372)+E(f826(x25373,x25371,x25374,x25375),f826(x25373,x25372,x25374,x25375))
% 182.47/182.09 [2538]~E(x25381,x25382)+E(f826(x25383,x25384,x25381,x25385),f826(x25383,x25384,x25382,x25385))
% 182.47/182.09 [2539]~E(x25391,x25392)+E(f826(x25393,x25394,x25395,x25391),f826(x25393,x25394,x25395,x25392))
% 182.47/182.09 [2540]~E(x25401,x25402)+E(f548(x25401,x25403,x25404,x25405),f548(x25402,x25403,x25404,x25405))
% 182.47/182.09 [2541]~E(x25411,x25412)+E(f548(x25413,x25411,x25414,x25415),f548(x25413,x25412,x25414,x25415))
% 182.47/182.09 [2542]~E(x25421,x25422)+E(f548(x25423,x25424,x25421,x25425),f548(x25423,x25424,x25422,x25425))
% 182.47/182.09 [2543]~E(x25431,x25432)+E(f548(x25433,x25434,x25435,x25431),f548(x25433,x25434,x25435,x25432))
% 182.47/182.09 [2544]~E(x25441,x25442)+E(f200(x25441,x25443,x25444,x25445),f200(x25442,x25443,x25444,x25445))
% 182.47/182.09 [2545]~E(x25451,x25452)+E(f200(x25453,x25451,x25454,x25455),f200(x25453,x25452,x25454,x25455))
% 182.47/182.09 [2546]~E(x25461,x25462)+E(f200(x25463,x25464,x25461,x25465),f200(x25463,x25464,x25462,x25465))
% 182.47/182.09 [2547]~E(x25471,x25472)+E(f200(x25473,x25474,x25475,x25471),f200(x25473,x25474,x25475,x25472))
% 182.47/182.09 [2548]~E(x25481,x25482)+E(f809(x25481,x25483,x25484,x25485,x25486,x25487),f809(x25482,x25483,x25484,x25485,x25486,x25487))
% 182.47/182.09 [2549]~E(x25491,x25492)+E(f809(x25493,x25491,x25494,x25495,x25496,x25497),f809(x25493,x25492,x25494,x25495,x25496,x25497))
% 182.47/182.09 [2550]~E(x25501,x25502)+E(f809(x25503,x25504,x25501,x25505,x25506,x25507),f809(x25503,x25504,x25502,x25505,x25506,x25507))
% 182.47/182.09 [2551]~E(x25511,x25512)+E(f809(x25513,x25514,x25515,x25511,x25516,x25517),f809(x25513,x25514,x25515,x25512,x25516,x25517))
% 182.47/182.09 [2552]~E(x25521,x25522)+E(f809(x25523,x25524,x25525,x25526,x25521,x25527),f809(x25523,x25524,x25525,x25526,x25522,x25527))
% 182.47/182.09 [2553]~E(x25531,x25532)+E(f809(x25533,x25534,x25535,x25536,x25537,x25531),f809(x25533,x25534,x25535,x25536,x25537,x25532))
% 182.47/182.09 [2554]~E(x25541,x25542)+E(f441(x25541,x25543),f441(x25542,x25543))
% 182.47/182.09 [2555]~E(x25551,x25552)+E(f441(x25553,x25551),f441(x25553,x25552))
% 182.47/182.09 [2556]~E(x25561,x25562)+E(f491(x25561,x25563),f491(x25562,x25563))
% 182.47/182.09 [2557]~E(x25571,x25572)+E(f491(x25573,x25571),f491(x25573,x25572))
% 182.47/182.09 [2558]~E(x25581,x25582)+E(f265(x25581,x25583,x25584),f265(x25582,x25583,x25584))
% 182.47/182.09 [2559]~E(x25591,x25592)+E(f265(x25593,x25591,x25594),f265(x25593,x25592,x25594))
% 182.47/182.09 [2560]~E(x25601,x25602)+E(f265(x25603,x25604,x25601),f265(x25603,x25604,x25602))
% 182.47/182.09 [2561]~E(x25611,x25612)+E(f385(x25611,x25613,x25614),f385(x25612,x25613,x25614))
% 182.47/182.09 [2562]~E(x25621,x25622)+E(f385(x25623,x25621,x25624),f385(x25623,x25622,x25624))
% 182.47/182.09 [2563]~E(x25631,x25632)+E(f385(x25633,x25634,x25631),f385(x25633,x25634,x25632))
% 182.47/182.09 [2564]~E(x25641,x25642)+E(f545(x25641,x25643,x25644),f545(x25642,x25643,x25644))
% 182.47/182.09 [2565]~E(x25651,x25652)+E(f545(x25653,x25651,x25654),f545(x25653,x25652,x25654))
% 182.47/182.09 [2566]~E(x25661,x25662)+E(f545(x25663,x25664,x25661),f545(x25663,x25664,x25662))
% 182.47/182.09 [2567]~E(x25671,x25672)+E(f888(x25671,x25673),f888(x25672,x25673))
% 182.47/182.09 [2568]~E(x25681,x25682)+E(f888(x25683,x25681),f888(x25683,x25682))
% 182.47/182.09 [2569]~E(x25691,x25692)+E(f653(x25691,x25693,x25694),f653(x25692,x25693,x25694))
% 182.47/182.09 [2570]~E(x25701,x25702)+E(f653(x25703,x25701,x25704),f653(x25703,x25702,x25704))
% 182.47/182.09 [2571]~E(x25711,x25712)+E(f653(x25713,x25714,x25711),f653(x25713,x25714,x25712))
% 182.47/182.09 [2572]~E(x25721,x25722)+E(f403(x25721,x25723,x25724),f403(x25722,x25723,x25724))
% 182.47/182.09 [2573]~E(x25731,x25732)+E(f403(x25733,x25731,x25734),f403(x25733,x25732,x25734))
% 182.47/182.09 [2574]~E(x25741,x25742)+E(f403(x25743,x25744,x25741),f403(x25743,x25744,x25742))
% 182.47/182.09 [2575]~E(x25751,x25752)+E(f721(x25751,x25753,x25754,x25755,x25756),f721(x25752,x25753,x25754,x25755,x25756))
% 182.47/182.09 [2576]~E(x25761,x25762)+E(f721(x25763,x25761,x25764,x25765,x25766),f721(x25763,x25762,x25764,x25765,x25766))
% 182.47/182.09 [2577]~E(x25771,x25772)+E(f721(x25773,x25774,x25771,x25775,x25776),f721(x25773,x25774,x25772,x25775,x25776))
% 182.47/182.09 [2578]~E(x25781,x25782)+E(f721(x25783,x25784,x25785,x25781,x25786),f721(x25783,x25784,x25785,x25782,x25786))
% 182.47/182.09 [2579]~E(x25791,x25792)+E(f721(x25793,x25794,x25795,x25796,x25791),f721(x25793,x25794,x25795,x25796,x25792))
% 182.47/182.09 [2580]~E(x25801,x25802)+E(f712(x25801,x25803,x25804),f712(x25802,x25803,x25804))
% 182.47/182.09 [2581]~E(x25811,x25812)+E(f712(x25813,x25811,x25814),f712(x25813,x25812,x25814))
% 182.47/182.09 [2582]~E(x25821,x25822)+E(f712(x25823,x25824,x25821),f712(x25823,x25824,x25822))
% 182.47/182.09 [2583]~E(x25831,x25832)+E(f818(x25831,x25833,x25834),f818(x25832,x25833,x25834))
% 182.47/182.09 [2584]~E(x25841,x25842)+E(f818(x25843,x25841,x25844),f818(x25843,x25842,x25844))
% 182.47/182.09 [2585]~E(x25851,x25852)+E(f818(x25853,x25854,x25851),f818(x25853,x25854,x25852))
% 182.47/182.09 [2586]~E(x25861,x25862)+E(f558(x25861,x25863,x25864),f558(x25862,x25863,x25864))
% 182.47/182.09 [2587]~E(x25871,x25872)+E(f558(x25873,x25871,x25874),f558(x25873,x25872,x25874))
% 182.47/182.09 [2588]~E(x25881,x25882)+E(f558(x25883,x25884,x25881),f558(x25883,x25884,x25882))
% 182.47/182.09 [2589]~E(x25891,x25892)+E(f851(x25891,x25893,x25894,x25895,x25896),f851(x25892,x25893,x25894,x25895,x25896))
% 182.47/182.09 [2590]~E(x25901,x25902)+E(f851(x25903,x25901,x25904,x25905,x25906),f851(x25903,x25902,x25904,x25905,x25906))
% 182.47/182.09 [2591]~E(x25911,x25912)+E(f851(x25913,x25914,x25911,x25915,x25916),f851(x25913,x25914,x25912,x25915,x25916))
% 182.47/182.09 [2592]~E(x25921,x25922)+E(f851(x25923,x25924,x25925,x25921,x25926),f851(x25923,x25924,x25925,x25922,x25926))
% 182.47/182.09 [2593]~E(x25931,x25932)+E(f851(x25933,x25934,x25935,x25936,x25931),f851(x25933,x25934,x25935,x25936,x25932))
% 182.47/182.09 [2594]~E(x25941,x25942)+E(f758(x25941),f758(x25942))
% 182.47/182.09 [2595]~E(x25951,x25952)+E(f743(x25951,x25953,x25954),f743(x25952,x25953,x25954))
% 182.47/182.09 [2596]~E(x25961,x25962)+E(f743(x25963,x25961,x25964),f743(x25963,x25962,x25964))
% 182.47/182.09 [2597]~E(x25971,x25972)+E(f743(x25973,x25974,x25971),f743(x25973,x25974,x25972))
% 182.47/182.09 [2598]~E(x25981,x25982)+E(f394(x25981,x25983),f394(x25982,x25983))
% 182.47/182.09 [2599]~E(x25991,x25992)+E(f394(x25993,x25991),f394(x25993,x25992))
% 182.47/182.09 [2600]~E(x26001,x26002)+E(f720(x26001,x26003,x26004,x26005),f720(x26002,x26003,x26004,x26005))
% 182.47/182.09 [2601]~E(x26011,x26012)+E(f720(x26013,x26011,x26014,x26015),f720(x26013,x26012,x26014,x26015))
% 182.47/182.09 [2602]~E(x26021,x26022)+E(f720(x26023,x26024,x26021,x26025),f720(x26023,x26024,x26022,x26025))
% 182.47/182.09 [2603]~E(x26031,x26032)+E(f720(x26033,x26034,x26035,x26031),f720(x26033,x26034,x26035,x26032))
% 182.47/182.09 [2604]~E(x26041,x26042)+E(f325(x26041),f325(x26042))
% 182.47/182.09 [2605]~E(x26051,x26052)+E(f501(x26051,x26053,x26054,x26055),f501(x26052,x26053,x26054,x26055))
% 182.47/182.09 [2606]~E(x26061,x26062)+E(f501(x26063,x26061,x26064,x26065),f501(x26063,x26062,x26064,x26065))
% 182.47/182.09 [2607]~E(x26071,x26072)+E(f501(x26073,x26074,x26071,x26075),f501(x26073,x26074,x26072,x26075))
% 182.47/182.09 [2608]~E(x26081,x26082)+E(f501(x26083,x26084,x26085,x26081),f501(x26083,x26084,x26085,x26082))
% 182.47/182.09 [2609]~E(x26091,x26092)+E(f559(x26091,x26093,x26094),f559(x26092,x26093,x26094))
% 182.47/182.09 [2610]~E(x26101,x26102)+E(f559(x26103,x26101,x26104),f559(x26103,x26102,x26104))
% 182.47/182.09 [2611]~E(x26111,x26112)+E(f559(x26113,x26114,x26111),f559(x26113,x26114,x26112))
% 182.47/182.09 [2612]~E(x26121,x26122)+E(f528(x26121,x26123,x26124,x26125),f528(x26122,x26123,x26124,x26125))
% 182.47/182.09 [2613]~E(x26131,x26132)+E(f528(x26133,x26131,x26134,x26135),f528(x26133,x26132,x26134,x26135))
% 182.47/182.09 [2614]~E(x26141,x26142)+E(f528(x26143,x26144,x26141,x26145),f528(x26143,x26144,x26142,x26145))
% 182.47/182.09 [2615]~E(x26151,x26152)+E(f528(x26153,x26154,x26155,x26151),f528(x26153,x26154,x26155,x26152))
% 182.47/182.09 [2616]~E(x26161,x26162)+E(f451(x26161,x26163,x26164),f451(x26162,x26163,x26164))
% 182.47/182.09 [2617]~E(x26171,x26172)+E(f451(x26173,x26171,x26174),f451(x26173,x26172,x26174))
% 182.47/182.09 [2618]~E(x26181,x26182)+E(f451(x26183,x26184,x26181),f451(x26183,x26184,x26182))
% 182.47/182.09 [2619]~E(x26191,x26192)+E(f251(x26191,x26193,x26194,x26195,x26196),f251(x26192,x26193,x26194,x26195,x26196))
% 182.47/182.09 [2620]~E(x26201,x26202)+E(f251(x26203,x26201,x26204,x26205,x26206),f251(x26203,x26202,x26204,x26205,x26206))
% 182.47/182.09 [2621]~E(x26211,x26212)+E(f251(x26213,x26214,x26211,x26215,x26216),f251(x26213,x26214,x26212,x26215,x26216))
% 182.47/182.09 [2622]~E(x26221,x26222)+E(f251(x26223,x26224,x26225,x26221,x26226),f251(x26223,x26224,x26225,x26222,x26226))
% 182.47/182.09 [2623]~E(x26231,x26232)+E(f251(x26233,x26234,x26235,x26236,x26231),f251(x26233,x26234,x26235,x26236,x26232))
% 182.47/182.09 [2624]~E(x26241,x26242)+E(f776(x26241,x26243,x26244),f776(x26242,x26243,x26244))
% 182.47/182.09 [2625]~E(x26251,x26252)+E(f776(x26253,x26251,x26254),f776(x26253,x26252,x26254))
% 182.47/182.09 [2626]~E(x26261,x26262)+E(f776(x26263,x26264,x26261),f776(x26263,x26264,x26262))
% 182.47/182.09 [2627]~E(x26271,x26272)+E(f201(x26271,x26273,x26274,x26275),f201(x26272,x26273,x26274,x26275))
% 182.47/182.09 [2628]~E(x26281,x26282)+E(f201(x26283,x26281,x26284,x26285),f201(x26283,x26282,x26284,x26285))
% 182.47/182.09 [2629]~E(x26291,x26292)+E(f201(x26293,x26294,x26291,x26295),f201(x26293,x26294,x26292,x26295))
% 182.47/182.09 [2630]~E(x26301,x26302)+E(f201(x26303,x26304,x26305,x26301),f201(x26303,x26304,x26305,x26302))
% 182.47/182.09 [2631]~E(x26311,x26312)+E(f355(x26311,x26313,x26314,x26315),f355(x26312,x26313,x26314,x26315))
% 182.47/182.09 [2632]~E(x26321,x26322)+E(f355(x26323,x26321,x26324,x26325),f355(x26323,x26322,x26324,x26325))
% 182.47/182.09 [2633]~E(x26331,x26332)+E(f355(x26333,x26334,x26331,x26335),f355(x26333,x26334,x26332,x26335))
% 182.47/182.09 [2634]~E(x26341,x26342)+E(f355(x26343,x26344,x26345,x26341),f355(x26343,x26344,x26345,x26342))
% 182.47/182.09 [2635]~E(x26351,x26352)+E(f188(x26351,x26353,x26354,x26355),f188(x26352,x26353,x26354,x26355))
% 182.47/182.09 [2636]~E(x26361,x26362)+E(f188(x26363,x26361,x26364,x26365),f188(x26363,x26362,x26364,x26365))
% 182.47/182.09 [2637]~E(x26371,x26372)+E(f188(x26373,x26374,x26371,x26375),f188(x26373,x26374,x26372,x26375))
% 182.47/182.09 [2638]~E(x26381,x26382)+E(f188(x26383,x26384,x26385,x26381),f188(x26383,x26384,x26385,x26382))
% 182.47/182.09 [2639]~E(x26391,x26392)+E(f805(x26391,x26393),f805(x26392,x26393))
% 182.47/182.09 [2640]~E(x26401,x26402)+E(f805(x26403,x26401),f805(x26403,x26402))
% 182.47/182.09 [2641]~E(x26411,x26412)+E(f386(x26411,x26413,x26414),f386(x26412,x26413,x26414))
% 182.47/182.09 [2642]~E(x26421,x26422)+E(f386(x26423,x26421,x26424),f386(x26423,x26422,x26424))
% 182.47/182.09 [2643]~E(x26431,x26432)+E(f386(x26433,x26434,x26431),f386(x26433,x26434,x26432))
% 182.47/182.09 [2644]~E(x26441,x26442)+E(f808(x26441,x26443,x26444,x26445),f808(x26442,x26443,x26444,x26445))
% 182.47/182.09 [2645]~E(x26451,x26452)+E(f808(x26453,x26451,x26454,x26455),f808(x26453,x26452,x26454,x26455))
% 182.47/182.09 [2646]~E(x26461,x26462)+E(f808(x26463,x26464,x26461,x26465),f808(x26463,x26464,x26462,x26465))
% 182.47/182.09 [2647]~E(x26471,x26472)+E(f808(x26473,x26474,x26475,x26471),f808(x26473,x26474,x26475,x26472))
% 182.47/182.09 [2648]~E(x26481,x26482)+E(f498(x26481,x26483,x26484,x26485),f498(x26482,x26483,x26484,x26485))
% 182.47/182.09 [2649]~E(x26491,x26492)+E(f498(x26493,x26491,x26494,x26495),f498(x26493,x26492,x26494,x26495))
% 182.47/182.09 [2650]~E(x26501,x26502)+E(f498(x26503,x26504,x26501,x26505),f498(x26503,x26504,x26502,x26505))
% 182.47/182.09 [2651]~E(x26511,x26512)+E(f498(x26513,x26514,x26515,x26511),f498(x26513,x26514,x26515,x26512))
% 182.47/182.09 [2652]~E(x26521,x26522)+E(f420(x26521,x26523,x26524,x26525,x26526),f420(x26522,x26523,x26524,x26525,x26526))
% 182.47/182.09 [2653]~E(x26531,x26532)+E(f420(x26533,x26531,x26534,x26535,x26536),f420(x26533,x26532,x26534,x26535,x26536))
% 182.47/182.09 [2654]~E(x26541,x26542)+E(f420(x26543,x26544,x26541,x26545,x26546),f420(x26543,x26544,x26542,x26545,x26546))
% 182.47/182.09 [2655]~E(x26551,x26552)+E(f420(x26553,x26554,x26555,x26551,x26556),f420(x26553,x26554,x26555,x26552,x26556))
% 182.47/182.09 [2656]~E(x26561,x26562)+E(f420(x26563,x26564,x26565,x26566,x26561),f420(x26563,x26564,x26565,x26566,x26562))
% 182.47/182.09 [2657]~E(x26571,x26572)+E(f481(x26571,x26573,x26574,x26575),f481(x26572,x26573,x26574,x26575))
% 182.47/182.09 [2658]~E(x26581,x26582)+E(f481(x26583,x26581,x26584,x26585),f481(x26583,x26582,x26584,x26585))
% 182.47/182.09 [2659]~E(x26591,x26592)+E(f481(x26593,x26594,x26591,x26595),f481(x26593,x26594,x26592,x26595))
% 182.47/182.09 [2660]~E(x26601,x26602)+E(f481(x26603,x26604,x26605,x26601),f481(x26603,x26604,x26605,x26602))
% 182.47/182.09 [2661]~E(x26611,x26612)+E(f216(x26611,x26613,x26614,x26615,x26616),f216(x26612,x26613,x26614,x26615,x26616))
% 182.47/182.09 [2662]~E(x26621,x26622)+E(f216(x26623,x26621,x26624,x26625,x26626),f216(x26623,x26622,x26624,x26625,x26626))
% 182.47/182.09 [2663]~E(x26631,x26632)+E(f216(x26633,x26634,x26631,x26635,x26636),f216(x26633,x26634,x26632,x26635,x26636))
% 182.47/182.09 [2664]~E(x26641,x26642)+E(f216(x26643,x26644,x26645,x26641,x26646),f216(x26643,x26644,x26645,x26642,x26646))
% 182.47/182.09 [2665]~E(x26651,x26652)+E(f216(x26653,x26654,x26655,x26656,x26651),f216(x26653,x26654,x26655,x26656,x26652))
% 182.47/182.09 [2666]~E(x26661,x26662)+E(f454(x26661,x26663,x26664),f454(x26662,x26663,x26664))
% 182.47/182.09 [2667]~E(x26671,x26672)+E(f454(x26673,x26671,x26674),f454(x26673,x26672,x26674))
% 182.47/182.09 [2668]~E(x26681,x26682)+E(f454(x26683,x26684,x26681),f454(x26683,x26684,x26682))
% 182.47/182.09 [2669]~E(x26691,x26692)+E(f502(x26691,x26693,x26694,x26695),f502(x26692,x26693,x26694,x26695))
% 182.47/182.09 [2670]~E(x26701,x26702)+E(f502(x26703,x26701,x26704,x26705),f502(x26703,x26702,x26704,x26705))
% 182.47/182.09 [2671]~E(x26711,x26712)+E(f502(x26713,x26714,x26711,x26715),f502(x26713,x26714,x26712,x26715))
% 182.47/182.09 [2672]~E(x26721,x26722)+E(f502(x26723,x26724,x26725,x26721),f502(x26723,x26724,x26725,x26722))
% 182.47/182.09 [2673]~E(x26731,x26732)+E(f402(x26731,x26733,x26734),f402(x26732,x26733,x26734))
% 182.47/182.09 [2674]~E(x26741,x26742)+E(f402(x26743,x26741,x26744),f402(x26743,x26742,x26744))
% 182.47/182.09 [2675]~E(x26751,x26752)+E(f402(x26753,x26754,x26751),f402(x26753,x26754,x26752))
% 182.47/182.09 [2676]~E(x26761,x26762)+E(f617(x26761,x26763,x26764),f617(x26762,x26763,x26764))
% 182.47/182.09 [2677]~E(x26771,x26772)+E(f617(x26773,x26771,x26774),f617(x26773,x26772,x26774))
% 182.47/182.09 [2678]~E(x26781,x26782)+E(f617(x26783,x26784,x26781),f617(x26783,x26784,x26782))
% 182.47/182.09 [2679]~E(x26791,x26792)+E(f215(x26791,x26793,x26794,x26795,x26796),f215(x26792,x26793,x26794,x26795,x26796))
% 182.47/182.09 [2680]~E(x26801,x26802)+E(f215(x26803,x26801,x26804,x26805,x26806),f215(x26803,x26802,x26804,x26805,x26806))
% 182.47/182.09 [2681]~E(x26811,x26812)+E(f215(x26813,x26814,x26811,x26815,x26816),f215(x26813,x26814,x26812,x26815,x26816))
% 182.47/182.09 [2682]~E(x26821,x26822)+E(f215(x26823,x26824,x26825,x26821,x26826),f215(x26823,x26824,x26825,x26822,x26826))
% 182.47/182.09 [2683]~E(x26831,x26832)+E(f215(x26833,x26834,x26835,x26836,x26831),f215(x26833,x26834,x26835,x26836,x26832))
% 182.47/182.09 [2684]~E(x26841,x26842)+E(f267(x26841,x26843,x26844,x26845),f267(x26842,x26843,x26844,x26845))
% 182.47/182.09 [2685]~E(x26851,x26852)+E(f267(x26853,x26851,x26854,x26855),f267(x26853,x26852,x26854,x26855))
% 182.47/182.09 [2686]~E(x26861,x26862)+E(f267(x26863,x26864,x26861,x26865),f267(x26863,x26864,x26862,x26865))
% 182.47/182.09 [2687]~E(x26871,x26872)+E(f267(x26873,x26874,x26875,x26871),f267(x26873,x26874,x26875,x26872))
% 182.47/182.09 [2688]~E(x26881,x26882)+E(f411(x26881,x26883,x26884,x26885,x26886),f411(x26882,x26883,x26884,x26885,x26886))
% 182.47/182.09 [2689]~E(x26891,x26892)+E(f411(x26893,x26891,x26894,x26895,x26896),f411(x26893,x26892,x26894,x26895,x26896))
% 182.47/182.09 [2690]~E(x26901,x26902)+E(f411(x26903,x26904,x26901,x26905,x26906),f411(x26903,x26904,x26902,x26905,x26906))
% 182.47/182.09 [2691]~E(x26911,x26912)+E(f411(x26913,x26914,x26915,x26911,x26916),f411(x26913,x26914,x26915,x26912,x26916))
% 182.47/182.09 [2692]~E(x26921,x26922)+E(f411(x26923,x26924,x26925,x26926,x26921),f411(x26923,x26924,x26925,x26926,x26922))
% 182.47/182.09 [2693]~E(x26931,x26932)+E(f412(x26931,x26933,x26934,x26935,x26936),f412(x26932,x26933,x26934,x26935,x26936))
% 182.47/182.09 [2694]~E(x26941,x26942)+E(f412(x26943,x26941,x26944,x26945,x26946),f412(x26943,x26942,x26944,x26945,x26946))
% 182.47/182.09 [2695]~E(x26951,x26952)+E(f412(x26953,x26954,x26951,x26955,x26956),f412(x26953,x26954,x26952,x26955,x26956))
% 182.47/182.09 [2696]~E(x26961,x26962)+E(f412(x26963,x26964,x26965,x26961,x26966),f412(x26963,x26964,x26965,x26962,x26966))
% 182.47/182.09 [2697]~E(x26971,x26972)+E(f412(x26973,x26974,x26975,x26976,x26971),f412(x26973,x26974,x26975,x26976,x26972))
% 182.47/182.09 [2698]~E(x26981,x26982)+E(f867(x26981),f867(x26982))
% 182.47/182.09 [2699]~E(x26991,x26992)+E(f642(x26991,x26993,x26994),f642(x26992,x26993,x26994))
% 182.47/182.09 [2700]~E(x27001,x27002)+E(f642(x27003,x27001,x27004),f642(x27003,x27002,x27004))
% 182.47/182.09 [2701]~E(x27011,x27012)+E(f642(x27013,x27014,x27011),f642(x27013,x27014,x27012))
% 182.47/182.09 [2702]~E(x27021,x27022)+E(f465(x27021),f465(x27022))
% 182.47/182.09 [2703]~E(x27031,x27032)+E(f407(x27031,x27033,x27034,x27035,x27036),f407(x27032,x27033,x27034,x27035,x27036))
% 182.47/182.09 [2704]~E(x27041,x27042)+E(f407(x27043,x27041,x27044,x27045,x27046),f407(x27043,x27042,x27044,x27045,x27046))
% 182.47/182.09 [2705]~E(x27051,x27052)+E(f407(x27053,x27054,x27051,x27055,x27056),f407(x27053,x27054,x27052,x27055,x27056))
% 182.47/182.09 [2706]~E(x27061,x27062)+E(f407(x27063,x27064,x27065,x27061,x27066),f407(x27063,x27064,x27065,x27062,x27066))
% 182.47/182.09 [2707]~E(x27071,x27072)+E(f407(x27073,x27074,x27075,x27076,x27071),f407(x27073,x27074,x27075,x27076,x27072))
% 182.47/182.09 [2708]~E(x27081,x27082)+E(f807(x27081,x27083),f807(x27082,x27083))
% 182.47/182.09 [2709]~E(x27091,x27092)+E(f807(x27093,x27091),f807(x27093,x27092))
% 182.47/182.09 [2710]~E(x27101,x27102)+E(f742(x27101,x27103,x27104),f742(x27102,x27103,x27104))
% 182.47/182.09 [2711]~E(x27111,x27112)+E(f742(x27113,x27111,x27114),f742(x27113,x27112,x27114))
% 182.47/182.09 [2712]~E(x27121,x27122)+E(f742(x27123,x27124,x27121),f742(x27123,x27124,x27122))
% 182.47/182.09 [2713]~E(x27131,x27132)+E(f419(x27131,x27133),f419(x27132,x27133))
% 182.47/182.09 [2714]~E(x27141,x27142)+E(f419(x27143,x27141),f419(x27143,x27142))
% 182.47/182.09 [2715]~E(x27151,x27152)+E(f585(x27151,x27153,x27154,x27155),f585(x27152,x27153,x27154,x27155))
% 182.47/182.09 [2716]~E(x27161,x27162)+E(f585(x27163,x27161,x27164,x27165),f585(x27163,x27162,x27164,x27165))
% 182.47/182.09 [2717]~E(x27171,x27172)+E(f585(x27173,x27174,x27171,x27175),f585(x27173,x27174,x27172,x27175))
% 182.47/182.09 [2718]~E(x27181,x27182)+E(f585(x27183,x27184,x27185,x27181),f585(x27183,x27184,x27185,x27182))
% 182.47/182.09 [2719]~E(x27191,x27192)+E(f706(x27191,x27193),f706(x27192,x27193))
% 182.47/182.09 [2720]~E(x27201,x27202)+E(f706(x27203,x27201),f706(x27203,x27202))
% 182.47/182.09 [2721]~E(x27211,x27212)+E(f735(x27211,x27213,x27214),f735(x27212,x27213,x27214))
% 182.47/182.09 [2722]~E(x27221,x27222)+E(f735(x27223,x27221,x27224),f735(x27223,x27222,x27224))
% 182.47/182.09 [2723]~E(x27231,x27232)+E(f735(x27233,x27234,x27231),f735(x27233,x27234,x27232))
% 182.47/182.09 [2724]~E(x27241,x27242)+E(f624(x27241,x27243,x27244,x27245,x27246,x27247),f624(x27242,x27243,x27244,x27245,x27246,x27247))
% 182.47/182.09 [2725]~E(x27251,x27252)+E(f624(x27253,x27251,x27254,x27255,x27256,x27257),f624(x27253,x27252,x27254,x27255,x27256,x27257))
% 182.47/182.09 [2726]~E(x27261,x27262)+E(f624(x27263,x27264,x27261,x27265,x27266,x27267),f624(x27263,x27264,x27262,x27265,x27266,x27267))
% 182.47/182.09 [2727]~E(x27271,x27272)+E(f624(x27273,x27274,x27275,x27271,x27276,x27277),f624(x27273,x27274,x27275,x27272,x27276,x27277))
% 182.47/182.09 [2728]~E(x27281,x27282)+E(f624(x27283,x27284,x27285,x27286,x27281,x27287),f624(x27283,x27284,x27285,x27286,x27282,x27287))
% 182.47/182.09 [2729]~E(x27291,x27292)+E(f624(x27293,x27294,x27295,x27296,x27297,x27291),f624(x27293,x27294,x27295,x27296,x27297,x27292))
% 182.47/182.09 [2730]~E(x27301,x27302)+E(f217(x27301,x27303,x27304,x27305,x27306),f217(x27302,x27303,x27304,x27305,x27306))
% 182.47/182.09 [2731]~E(x27311,x27312)+E(f217(x27313,x27311,x27314,x27315,x27316),f217(x27313,x27312,x27314,x27315,x27316))
% 182.47/182.09 [2732]~E(x27321,x27322)+E(f217(x27323,x27324,x27321,x27325,x27326),f217(x27323,x27324,x27322,x27325,x27326))
% 182.47/182.09 [2733]~E(x27331,x27332)+E(f217(x27333,x27334,x27335,x27331,x27336),f217(x27333,x27334,x27335,x27332,x27336))
% 182.47/182.09 [2734]~E(x27341,x27342)+E(f217(x27343,x27344,x27345,x27346,x27341),f217(x27343,x27344,x27345,x27346,x27342))
% 182.47/182.09 [2735]~E(x27351,x27352)+E(f517(x27351,x27353),f517(x27352,x27353))
% 182.47/182.09 [2736]~E(x27361,x27362)+E(f517(x27363,x27361),f517(x27363,x27362))
% 182.47/182.09 [2737]~E(x27371,x27372)+E(f115(x27371),f115(x27372))
% 182.47/182.09 [2738]~E(x27381,x27382)+E(f880(x27381),f880(x27382))
% 182.47/182.09 [2739]~E(x27391,x27392)+E(f191(x27391),f191(x27392))
% 182.47/182.09 [2740]~E(x27401,x27402)+E(f340(x27401,x27403,x27404),f340(x27402,x27403,x27404))
% 182.47/182.09 [2741]~E(x27411,x27412)+E(f340(x27413,x27411,x27414),f340(x27413,x27412,x27414))
% 182.47/182.09 [2742]~E(x27421,x27422)+E(f340(x27423,x27424,x27421),f340(x27423,x27424,x27422))
% 182.47/182.09 [2743]~E(x27431,x27432)+E(f484(x27431,x27433,x27434,x27435),f484(x27432,x27433,x27434,x27435))
% 182.47/182.09 [2744]~E(x27441,x27442)+E(f484(x27443,x27441,x27444,x27445),f484(x27443,x27442,x27444,x27445))
% 182.47/182.09 [2745]~E(x27451,x27452)+E(f484(x27453,x27454,x27451,x27455),f484(x27453,x27454,x27452,x27455))
% 182.47/182.09 [2746]~E(x27461,x27462)+E(f484(x27463,x27464,x27465,x27461),f484(x27463,x27464,x27465,x27462))
% 182.47/182.09 [2747]~E(x27471,x27472)+E(f744(x27471,x27473,x27474),f744(x27472,x27473,x27474))
% 182.47/182.09 [2748]~E(x27481,x27482)+E(f744(x27483,x27481,x27484),f744(x27483,x27482,x27484))
% 182.47/182.09 [2749]~E(x27491,x27492)+E(f744(x27493,x27494,x27491),f744(x27493,x27494,x27492))
% 182.47/182.09 [2750]~E(x27501,x27502)+E(f877(x27501),f877(x27502))
% 182.47/182.09 [2751]~E(x27511,x27512)+E(f219(x27511,x27513,x27514),f219(x27512,x27513,x27514))
% 182.47/182.09 [2752]~E(x27521,x27522)+E(f219(x27523,x27521,x27524),f219(x27523,x27522,x27524))
% 182.47/182.09 [2753]~E(x27531,x27532)+E(f219(x27533,x27534,x27531),f219(x27533,x27534,x27532))
% 182.47/182.09 [2754]~E(x27541,x27542)+E(f410(x27541,x27543,x27544,x27545,x27546),f410(x27542,x27543,x27544,x27545,x27546))
% 182.47/182.09 [2755]~E(x27551,x27552)+E(f410(x27553,x27551,x27554,x27555,x27556),f410(x27553,x27552,x27554,x27555,x27556))
% 182.47/182.09 [2756]~E(x27561,x27562)+E(f410(x27563,x27564,x27561,x27565,x27566),f410(x27563,x27564,x27562,x27565,x27566))
% 182.47/182.09 [2757]~E(x27571,x27572)+E(f410(x27573,x27574,x27575,x27571,x27576),f410(x27573,x27574,x27575,x27572,x27576))
% 182.47/182.09 [2758]~E(x27581,x27582)+E(f410(x27583,x27584,x27585,x27586,x27581),f410(x27583,x27584,x27585,x27586,x27582))
% 182.47/182.09 [2759]~E(x27591,x27592)+E(f670(x27591,x27593,x27594),f670(x27592,x27593,x27594))
% 182.47/182.09 [2760]~E(x27601,x27602)+E(f670(x27603,x27601,x27604),f670(x27603,x27602,x27604))
% 182.47/182.09 [2761]~E(x27611,x27612)+E(f670(x27613,x27614,x27611),f670(x27613,x27614,x27612))
% 182.47/182.09 [2762]~E(x27621,x27622)+E(f252(x27621,x27623,x27624,x27625,x27626),f252(x27622,x27623,x27624,x27625,x27626))
% 182.47/182.09 [2763]~E(x27631,x27632)+E(f252(x27633,x27631,x27634,x27635,x27636),f252(x27633,x27632,x27634,x27635,x27636))
% 182.47/182.09 [2764]~E(x27641,x27642)+E(f252(x27643,x27644,x27641,x27645,x27646),f252(x27643,x27644,x27642,x27645,x27646))
% 182.47/182.09 [2765]~E(x27651,x27652)+E(f252(x27653,x27654,x27655,x27651,x27656),f252(x27653,x27654,x27655,x27652,x27656))
% 182.47/182.09 [2766]~E(x27661,x27662)+E(f252(x27663,x27664,x27665,x27666,x27661),f252(x27663,x27664,x27665,x27666,x27662))
% 182.47/182.09 [2767]~E(x27671,x27672)+E(f213(x27671,x27673,x27674),f213(x27672,x27673,x27674))
% 182.47/182.09 [2768]~E(x27681,x27682)+E(f213(x27683,x27681,x27684),f213(x27683,x27682,x27684))
% 182.47/182.09 [2769]~E(x27691,x27692)+E(f213(x27693,x27694,x27691),f213(x27693,x27694,x27692))
% 182.47/182.09 [2770]~P1(x27701)+P1(x27702)+~E(x27701,x27702)
% 182.47/182.09 [2771]~P2(x27711)+P2(x27712)+~E(x27711,x27712)
% 182.47/182.09 [2772]P13(x27722,x27723)+~E(x27721,x27722)+~P13(x27721,x27723)
% 182.47/182.09 [2773]P13(x27733,x27732)+~E(x27731,x27732)+~P13(x27733,x27731)
% 182.47/182.09 [2774]~P64(x27741)+P64(x27742)+~E(x27741,x27742)
% 182.47/182.09 [2775]~P102(x27751)+P102(x27752)+~E(x27751,x27752)
% 182.47/182.09 [2776]~P3(x27761)+P3(x27762)+~E(x27761,x27762)
% 182.47/182.09 [2777]~P82(x27771)+P82(x27772)+~E(x27771,x27772)
% 182.47/182.09 [2778]~P65(x27781)+P65(x27782)+~E(x27781,x27782)
% 182.47/182.09 [2779]~P66(x27791)+P66(x27792)+~E(x27791,x27792)
% 182.47/182.09 [2780]P146(x27802,x27803,x27804)+~E(x27801,x27802)+~P146(x27801,x27803,x27804)
% 182.47/182.09 [2781]P146(x27813,x27812,x27814)+~E(x27811,x27812)+~P146(x27813,x27811,x27814)
% 182.47/182.09 [2782]P146(x27823,x27824,x27822)+~E(x27821,x27822)+~P146(x27823,x27824,x27821)
% 182.47/182.09 [2783]P24(x27832,x27833,x27834,x27835)+~E(x27831,x27832)+~P24(x27831,x27833,x27834,x27835)
% 182.47/182.09 [2784]P24(x27843,x27842,x27844,x27845)+~E(x27841,x27842)+~P24(x27843,x27841,x27844,x27845)
% 182.47/182.09 [2785]P24(x27853,x27854,x27852,x27855)+~E(x27851,x27852)+~P24(x27853,x27854,x27851,x27855)
% 182.47/182.09 [2786]P24(x27863,x27864,x27865,x27862)+~E(x27861,x27862)+~P24(x27863,x27864,x27865,x27861)
% 182.47/182.09 [2787]~P108(x27871)+P108(x27872)+~E(x27871,x27872)
% 182.47/182.09 [2788]~P81(x27881)+P81(x27882)+~E(x27881,x27882)
% 182.47/182.09 [2789]P36(x27892,x27893)+~E(x27891,x27892)+~P36(x27891,x27893)
% 182.47/182.09 [2790]P36(x27903,x27902)+~E(x27901,x27902)+~P36(x27903,x27901)
% 182.47/182.09 [2791]~P71(x27911)+P71(x27912)+~E(x27911,x27912)
% 182.47/182.09 [2792]P56(x27922,x27923)+~E(x27921,x27922)+~P56(x27921,x27923)
% 182.47/182.09 [2793]P56(x27933,x27932)+~E(x27931,x27932)+~P56(x27933,x27931)
% 182.47/182.09 [2794]~P95(x27941)+P95(x27942)+~E(x27941,x27942)
% 182.47/182.09 [2795]P26(x27952,x27953)+~E(x27951,x27952)+~P26(x27951,x27953)
% 182.47/182.09 [2796]P26(x27963,x27962)+~E(x27961,x27962)+~P26(x27963,x27961)
% 182.47/182.09 [2797]~P74(x27971)+P74(x27972)+~E(x27971,x27972)
% 182.47/182.09 [2798]~P87(x27981)+P87(x27982)+~E(x27981,x27982)
% 182.47/182.09 [2799]~P62(x27991)+P62(x27992)+~E(x27991,x27992)
% 182.47/182.09 [2800]~P119(x28001)+P119(x28002)+~E(x28001,x28002)
% 182.47/182.09 [2801]~P124(x28011)+P124(x28012)+~E(x28011,x28012)
% 182.47/182.09 [2802]~P67(x28021)+P67(x28022)+~E(x28021,x28022)
% 182.47/182.09 [2803]~P83(x28031)+P83(x28032)+~E(x28031,x28032)
% 182.47/182.09 [2804]~P109(x28041)+P109(x28042)+~E(x28041,x28042)
% 182.47/182.09 [2805]P34(x28052,x28053,x28054)+~E(x28051,x28052)+~P34(x28051,x28053,x28054)
% 182.47/182.09 [2806]P34(x28063,x28062,x28064)+~E(x28061,x28062)+~P34(x28063,x28061,x28064)
% 182.47/182.09 [2807]P34(x28073,x28074,x28072)+~E(x28071,x28072)+~P34(x28073,x28074,x28071)
% 182.47/182.09 [2808]~P4(x28081)+P4(x28082)+~E(x28081,x28082)
% 182.47/182.09 [2809]~P136(x28091)+P136(x28092)+~E(x28091,x28092)
% 182.47/182.09 [2810]~P80(x28101)+P80(x28102)+~E(x28101,x28102)
% 182.47/182.09 [2811]~P84(x28111)+P84(x28112)+~E(x28111,x28112)
% 182.47/182.09 [2812]~P78(x28121)+P78(x28122)+~E(x28121,x28122)
% 182.47/182.09 [2813]P25(x28132,x28133,x28134,x28135,x28136)+~E(x28131,x28132)+~P25(x28131,x28133,x28134,x28135,x28136)
% 182.47/182.09 [2814]P25(x28143,x28142,x28144,x28145,x28146)+~E(x28141,x28142)+~P25(x28143,x28141,x28144,x28145,x28146)
% 182.47/182.09 [2815]P25(x28153,x28154,x28152,x28155,x28156)+~E(x28151,x28152)+~P25(x28153,x28154,x28151,x28155,x28156)
% 182.47/182.09 [2816]P25(x28163,x28164,x28165,x28162,x28166)+~E(x28161,x28162)+~P25(x28163,x28164,x28165,x28161,x28166)
% 182.47/182.09 [2817]P25(x28173,x28174,x28175,x28176,x28172)+~E(x28171,x28172)+~P25(x28173,x28174,x28175,x28176,x28171)
% 182.47/182.09 [2818]P29(x28182,x28183,x28184)+~E(x28181,x28182)+~P29(x28181,x28183,x28184)
% 182.47/182.09 [2819]P29(x28193,x28192,x28194)+~E(x28191,x28192)+~P29(x28193,x28191,x28194)
% 182.47/182.09 [2820]P29(x28203,x28204,x28202)+~E(x28201,x28202)+~P29(x28203,x28204,x28201)
% 182.47/182.09 [2821]~P103(x28211)+P103(x28212)+~E(x28211,x28212)
% 182.47/182.09 [2822]P147(x28222,x28223,x28224)+~E(x28221,x28222)+~P147(x28221,x28223,x28224)
% 182.47/182.09 [2823]P147(x28233,x28232,x28234)+~E(x28231,x28232)+~P147(x28233,x28231,x28234)
% 182.47/182.09 [2824]P147(x28243,x28244,x28242)+~E(x28241,x28242)+~P147(x28243,x28244,x28241)
% 182.47/182.09 [2825]~P68(x28251)+P68(x28252)+~E(x28251,x28252)
% 182.47/182.09 [2826]~P96(x28261)+P96(x28262)+~E(x28261,x28262)
% 182.47/182.09 [2827]P19(x28272,x28273,x28274,x28275)+~E(x28271,x28272)+~P19(x28271,x28273,x28274,x28275)
% 182.47/182.09 [2828]P19(x28283,x28282,x28284,x28285)+~E(x28281,x28282)+~P19(x28283,x28281,x28284,x28285)
% 182.47/182.09 [2829]P19(x28293,x28294,x28292,x28295)+~E(x28291,x28292)+~P19(x28293,x28294,x28291,x28295)
% 182.47/182.09 [2830]P19(x28303,x28304,x28305,x28302)+~E(x28301,x28302)+~P19(x28303,x28304,x28305,x28301)
% 182.47/182.09 [2831]~P69(x28311)+P69(x28312)+~E(x28311,x28312)
% 182.47/182.09 [2832]~P110(x28321)+P110(x28322)+~E(x28321,x28322)
% 182.47/182.09 [2833]P16(x28332,x28333,x28334)+~E(x28331,x28332)+~P16(x28331,x28333,x28334)
% 182.47/182.09 [2834]P16(x28343,x28342,x28344)+~E(x28341,x28342)+~P16(x28343,x28341,x28344)
% 182.47/182.09 [2835]P16(x28353,x28354,x28352)+~E(x28351,x28352)+~P16(x28353,x28354,x28351)
% 182.47/182.09 [2836]~P85(x28361)+P85(x28362)+~E(x28361,x28362)
% 182.47/182.09 [2837]~P90(x28371)+P90(x28372)+~E(x28371,x28372)
% 182.47/182.09 [2838]P17(x28382,x28383,x28384)+~E(x28381,x28382)+~P17(x28381,x28383,x28384)
% 182.47/182.09 [2839]P17(x28393,x28392,x28394)+~E(x28391,x28392)+~P17(x28393,x28391,x28394)
% 182.47/182.09 [2840]P17(x28403,x28404,x28402)+~E(x28401,x28402)+~P17(x28403,x28404,x28401)
% 182.47/182.09 [2841]~P88(x28411)+P88(x28412)+~E(x28411,x28412)
% 182.47/182.09 [2842]~P127(x28421)+P127(x28422)+~E(x28421,x28422)
% 182.47/182.09 [2843]~P111(x28431)+P111(x28432)+~E(x28431,x28432)
% 182.47/182.09 [2844]~P70(x28441)+P70(x28442)+~E(x28441,x28442)
% 182.47/182.09 [2845]~P120(x28451)+P120(x28452)+~E(x28451,x28452)
% 182.47/182.09 [2846]P27(x28462,x28463)+~E(x28461,x28462)+~P27(x28461,x28463)
% 182.47/182.09 [2847]P27(x28473,x28472)+~E(x28471,x28472)+~P27(x28473,x28471)
% 182.47/182.09 [2848]~P86(x28481)+P86(x28482)+~E(x28481,x28482)
% 182.47/182.09 [2849]~P104(x28491)+P104(x28492)+~E(x28491,x28492)
% 182.47/182.09 [2850]~P75(x28501)+P75(x28502)+~E(x28501,x28502)
% 182.47/182.09 [2851]~P73(x28511)+P73(x28512)+~E(x28511,x28512)
% 182.47/182.09 [2852]~P79(x28521)+P79(x28522)+~E(x28521,x28522)
% 182.47/182.09 [2853]P57(x28532,x28533,x28534,x28535)+~E(x28531,x28532)+~P57(x28531,x28533,x28534,x28535)
% 182.47/182.09 [2854]P57(x28543,x28542,x28544,x28545)+~E(x28541,x28542)+~P57(x28543,x28541,x28544,x28545)
% 182.47/182.09 [2855]P57(x28553,x28554,x28552,x28555)+~E(x28551,x28552)+~P57(x28553,x28554,x28551,x28555)
% 182.47/182.09 [2856]P57(x28563,x28564,x28565,x28562)+~E(x28561,x28562)+~P57(x28563,x28564,x28565,x28561)
% 182.47/182.09 [2857]~P63(x28571)+P63(x28572)+~E(x28571,x28572)
% 182.47/182.09 [2858]P8(x28582,x28583,x28584)+~E(x28581,x28582)+~P8(x28581,x28583,x28584)
% 182.47/182.09 [2859]P8(x28593,x28592,x28594)+~E(x28591,x28592)+~P8(x28593,x28591,x28594)
% 182.47/182.09 [2860]P8(x28603,x28604,x28602)+~E(x28601,x28602)+~P8(x28603,x28604,x28601)
% 182.47/182.09 [2861]~P89(x28611)+P89(x28612)+~E(x28611,x28612)
% 182.47/182.09 [2862]~P135(x28621)+P135(x28622)+~E(x28621,x28622)
% 182.47/182.09 [2863]~P39(x28631)+P39(x28632)+~E(x28631,x28632)
% 182.47/182.09 [2864]P50(x28642,x28643)+~E(x28641,x28642)+~P50(x28641,x28643)
% 182.47/182.09 [2865]P50(x28653,x28652)+~E(x28651,x28652)+~P50(x28653,x28651)
% 182.47/182.09 [2866]~P125(x28661)+P125(x28662)+~E(x28661,x28662)
% 182.47/182.09 [2867]P33(x28672,x28673,x28674,x28675,x28676)+~E(x28671,x28672)+~P33(x28671,x28673,x28674,x28675,x28676)
% 182.47/182.09 [2868]P33(x28683,x28682,x28684,x28685,x28686)+~E(x28681,x28682)+~P33(x28683,x28681,x28684,x28685,x28686)
% 182.47/182.09 [2869]P33(x28693,x28694,x28692,x28695,x28696)+~E(x28691,x28692)+~P33(x28693,x28694,x28691,x28695,x28696)
% 182.47/182.09 [2870]P33(x28703,x28704,x28705,x28702,x28706)+~E(x28701,x28702)+~P33(x28703,x28704,x28705,x28701,x28706)
% 182.47/182.09 [2871]P33(x28713,x28714,x28715,x28716,x28712)+~E(x28711,x28712)+~P33(x28713,x28714,x28715,x28716,x28711)
% 182.47/182.09 [2872]~P100(x28721)+P100(x28722)+~E(x28721,x28722)
% 182.47/182.09 [2873]~P60(x28731)+P60(x28732)+~E(x28731,x28732)
% 182.47/182.09 [2874]~P121(x28741)+P121(x28742)+~E(x28741,x28742)
% 182.47/182.09 [2875]P37(x28752,x28753)+~E(x28751,x28752)+~P37(x28751,x28753)
% 182.47/182.09 [2876]P37(x28763,x28762)+~E(x28761,x28762)+~P37(x28763,x28761)
% 182.47/182.09 [2877]P55(x28772,x28773,x28774,x28775,x28776)+~E(x28771,x28772)+~P55(x28771,x28773,x28774,x28775,x28776)
% 182.47/182.09 [2878]P55(x28783,x28782,x28784,x28785,x28786)+~E(x28781,x28782)+~P55(x28783,x28781,x28784,x28785,x28786)
% 182.47/182.09 [2879]P55(x28793,x28794,x28792,x28795,x28796)+~E(x28791,x28792)+~P55(x28793,x28794,x28791,x28795,x28796)
% 182.47/182.09 [2880]P55(x28803,x28804,x28805,x28802,x28806)+~E(x28801,x28802)+~P55(x28803,x28804,x28805,x28801,x28806)
% 182.47/182.09 [2881]P55(x28813,x28814,x28815,x28816,x28812)+~E(x28811,x28812)+~P55(x28813,x28814,x28815,x28816,x28811)
% 182.47/182.09 [2882]~P5(x28821)+P5(x28822)+~E(x28821,x28822)
% 182.47/182.09 [2883]P32(x28832,x28833,x28834)+~E(x28831,x28832)+~P32(x28831,x28833,x28834)
% 182.47/182.09 [2884]P32(x28843,x28842,x28844)+~E(x28841,x28842)+~P32(x28843,x28841,x28844)
% 182.47/182.09 [2885]P32(x28853,x28854,x28852)+~E(x28851,x28852)+~P32(x28853,x28854,x28851)
% 182.47/182.09 [2886]P58(x28862,x28863)+~E(x28861,x28862)+~P58(x28861,x28863)
% 182.47/182.09 [2887]P58(x28873,x28872)+~E(x28871,x28872)+~P58(x28873,x28871)
% 182.47/182.09 [2888]~P106(x28881)+P106(x28882)+~E(x28881,x28882)
% 182.47/182.09 [2889]~P76(x28891)+P76(x28892)+~E(x28891,x28892)
% 182.47/182.09 [2890]~P126(x28901)+P126(x28902)+~E(x28901,x28902)
% 182.47/182.09 [2891]P9(x28912,x28913,x28914)+~E(x28911,x28912)+~P9(x28911,x28913,x28914)
% 182.47/182.09 [2892]P9(x28923,x28922,x28924)+~E(x28921,x28922)+~P9(x28923,x28921,x28924)
% 182.47/182.09 [2893]P9(x28933,x28934,x28932)+~E(x28931,x28932)+~P9(x28933,x28934,x28931)
% 182.47/182.09 [2894]~P142(x28941)+P142(x28942)+~E(x28941,x28942)
% 182.47/182.09 [2895]~P94(x28951)+P94(x28952)+~E(x28951,x28952)
% 182.47/182.09 [2896]~P117(x28961)+P117(x28962)+~E(x28961,x28962)
% 182.47/182.09 [2897]~P128(x28971)+P128(x28972)+~E(x28971,x28972)
% 182.47/182.09 [2898]~P145(x28981)+P145(x28982)+~E(x28981,x28982)
% 182.47/182.09 [2899]P14(x28992,x28993,x28994)+~E(x28991,x28992)+~P14(x28991,x28993,x28994)
% 182.47/182.09 [2900]P14(x29003,x29002,x29004)+~E(x29001,x29002)+~P14(x29003,x29001,x29004)
% 182.47/182.09 [2901]P14(x29013,x29014,x29012)+~E(x29011,x29012)+~P14(x29013,x29014,x29011)
% 182.47/182.09 [2902]P20(x29022,x29023,x29024,x29025)+~E(x29021,x29022)+~P20(x29021,x29023,x29024,x29025)
% 182.47/182.09 [2903]P20(x29033,x29032,x29034,x29035)+~E(x29031,x29032)+~P20(x29033,x29031,x29034,x29035)
% 182.47/182.09 [2904]P20(x29043,x29044,x29042,x29045)+~E(x29041,x29042)+~P20(x29043,x29044,x29041,x29045)
% 182.47/182.09 [2905]P20(x29053,x29054,x29055,x29052)+~E(x29051,x29052)+~P20(x29053,x29054,x29055,x29051)
% 182.47/182.09 [2906]P15(x29062,x29063)+~E(x29061,x29062)+~P15(x29061,x29063)
% 182.47/182.09 [2907]P15(x29073,x29072)+~E(x29071,x29072)+~P15(x29073,x29071)
% 182.47/182.09 [2908]P22(x29082,x29083,x29084,x29085,x29086,x29087)+~E(x29081,x29082)+~P22(x29081,x29083,x29084,x29085,x29086,x29087)
% 182.47/182.09 [2909]P22(x29093,x29092,x29094,x29095,x29096,x29097)+~E(x29091,x29092)+~P22(x29093,x29091,x29094,x29095,x29096,x29097)
% 182.47/182.09 [2910]P22(x29103,x29104,x29102,x29105,x29106,x29107)+~E(x29101,x29102)+~P22(x29103,x29104,x29101,x29105,x29106,x29107)
% 182.47/182.09 [2911]P22(x29113,x29114,x29115,x29112,x29116,x29117)+~E(x29111,x29112)+~P22(x29113,x29114,x29115,x29111,x29116,x29117)
% 182.47/182.09 [2912]P22(x29123,x29124,x29125,x29126,x29122,x29127)+~E(x29121,x29122)+~P22(x29123,x29124,x29125,x29126,x29121,x29127)
% 182.47/182.09 [2913]P22(x29133,x29134,x29135,x29136,x29137,x29132)+~E(x29131,x29132)+~P22(x29133,x29134,x29135,x29136,x29137,x29131)
% 182.47/182.09 [2914]P31(x29142,x29143,x29144,x29145)+~E(x29141,x29142)+~P31(x29141,x29143,x29144,x29145)
% 182.47/182.09 [2915]P31(x29153,x29152,x29154,x29155)+~E(x29151,x29152)+~P31(x29153,x29151,x29154,x29155)
% 182.47/182.09 [2916]P31(x29163,x29164,x29162,x29165)+~E(x29161,x29162)+~P31(x29163,x29164,x29161,x29165)
% 182.47/182.09 [2917]P31(x29173,x29174,x29175,x29172)+~E(x29171,x29172)+~P31(x29173,x29174,x29175,x29171)
% 182.47/182.09 [2918]P7(x29182,x29183)+~E(x29181,x29182)+~P7(x29181,x29183)
% 182.47/182.09 [2919]P7(x29193,x29192)+~E(x29191,x29192)+~P7(x29193,x29191)
% 182.47/182.09 [2920]P51(x29202,x29203,x29204)+~E(x29201,x29202)+~P51(x29201,x29203,x29204)
% 182.47/182.09 [2921]P51(x29213,x29212,x29214)+~E(x29211,x29212)+~P51(x29213,x29211,x29214)
% 182.47/182.09 [2922]P51(x29223,x29224,x29222)+~E(x29221,x29222)+~P51(x29223,x29224,x29221)
% 182.47/182.09 [2923]P11(x29232,x29233,x29234,x29235)+~E(x29231,x29232)+~P11(x29231,x29233,x29234,x29235)
% 182.47/182.09 [2924]P11(x29243,x29242,x29244,x29245)+~E(x29241,x29242)+~P11(x29243,x29241,x29244,x29245)
% 182.47/182.09 [2925]P11(x29253,x29254,x29252,x29255)+~E(x29251,x29252)+~P11(x29253,x29254,x29251,x29255)
% 182.47/182.09 [2926]P11(x29263,x29264,x29265,x29262)+~E(x29261,x29262)+~P11(x29263,x29264,x29265,x29261)
% 182.47/182.09 [2927]P30(x29272,x29273,x29274)+~E(x29271,x29272)+~P30(x29271,x29273,x29274)
% 182.47/182.09 [2928]P30(x29283,x29282,x29284)+~E(x29281,x29282)+~P30(x29283,x29281,x29284)
% 182.47/182.09 [2929]P30(x29293,x29294,x29292)+~E(x29291,x29292)+~P30(x29293,x29294,x29291)
% 182.47/182.09 [2930]~P130(x29301)+P130(x29302)+~E(x29301,x29302)
% 182.47/182.09 [2931]~P140(x29311)+P140(x29312)+~E(x29311,x29312)
% 182.47/182.09 [2932]P28(x29322,x29323,x29324)+~E(x29321,x29322)+~P28(x29321,x29323,x29324)
% 182.47/182.09 [2933]P28(x29333,x29332,x29334)+~E(x29331,x29332)+~P28(x29333,x29331,x29334)
% 182.47/182.09 [2934]P28(x29343,x29344,x29342)+~E(x29341,x29342)+~P28(x29343,x29344,x29341)
% 182.47/182.09 [2935]~P59(x29351)+P59(x29352)+~E(x29351,x29352)
% 182.47/182.09 [2936]~P61(x29361)+P61(x29362)+~E(x29361,x29362)
% 182.47/182.09 [2937]P23(x29372,x29373,x29374,x29375,x29376,x29377)+~E(x29371,x29372)+~P23(x29371,x29373,x29374,x29375,x29376,x29377)
% 182.47/182.09 [2938]P23(x29383,x29382,x29384,x29385,x29386,x29387)+~E(x29381,x29382)+~P23(x29383,x29381,x29384,x29385,x29386,x29387)
% 182.47/182.09 [2939]P23(x29393,x29394,x29392,x29395,x29396,x29397)+~E(x29391,x29392)+~P23(x29393,x29394,x29391,x29395,x29396,x29397)
% 182.47/182.09 [2940]P23(x29403,x29404,x29405,x29402,x29406,x29407)+~E(x29401,x29402)+~P23(x29403,x29404,x29405,x29401,x29406,x29407)
% 182.47/182.09 [2941]P23(x29413,x29414,x29415,x29416,x29412,x29417)+~E(x29411,x29412)+~P23(x29413,x29414,x29415,x29416,x29411,x29417)
% 182.47/182.09 [2942]P23(x29423,x29424,x29425,x29426,x29427,x29422)+~E(x29421,x29422)+~P23(x29423,x29424,x29425,x29426,x29427,x29421)
% 182.47/182.09 [2943]~P101(x29431)+P101(x29432)+~E(x29431,x29432)
% 182.47/182.09 [2944]~P129(x29441)+P129(x29442)+~E(x29441,x29442)
% 182.47/182.09 [2945]P49(x29452,x29453)+~E(x29451,x29452)+~P49(x29451,x29453)
% 182.47/182.09 [2946]P49(x29463,x29462)+~E(x29461,x29462)+~P49(x29463,x29461)
% 182.47/182.09 [2947]~P144(x29471)+P144(x29472)+~E(x29471,x29472)
% 182.47/182.09 [2948]~P141(x29481)+P141(x29482)+~E(x29481,x29482)
% 182.47/182.09 [2949]P45(x29492,x29493)+~E(x29491,x29492)+~P45(x29491,x29493)
% 182.47/182.09 [2950]P45(x29503,x29502)+~E(x29501,x29502)+~P45(x29503,x29501)
% 182.47/182.09 [2951]~P97(x29511)+P97(x29512)+~E(x29511,x29512)
% 182.47/182.09 [2952]~P143(x29521)+P143(x29522)+~E(x29521,x29522)
% 182.47/182.09 [2953]~P112(x29531)+P112(x29532)+~E(x29531,x29532)
% 182.47/182.09 [2954]~P114(x29541)+P114(x29542)+~E(x29541,x29542)
% 182.47/182.09 [2955]P38(x29552,x29553)+~E(x29551,x29552)+~P38(x29551,x29553)
% 182.47/182.09 [2956]P38(x29563,x29562)+~E(x29561,x29562)+~P38(x29563,x29561)
% 182.47/182.09 [2957]P48(x29572,x29573)+~E(x29571,x29572)+~P48(x29571,x29573)
% 182.47/182.09 [2958]P48(x29583,x29582)+~E(x29581,x29582)+~P48(x29583,x29581)
% 182.47/182.09 [2959]~P91(x29591)+P91(x29592)+~E(x29591,x29592)
% 182.47/182.09 [2960]~P44(x29601)+P44(x29602)+~E(x29601,x29602)
% 182.47/182.09 [2961]~P6(x29611)+P6(x29612)+~E(x29611,x29612)
% 182.47/182.09 [2962]P53(x29622,x29623,x29624)+~E(x29621,x29622)+~P53(x29621,x29623,x29624)
% 182.47/182.09 [2963]P53(x29633,x29632,x29634)+~E(x29631,x29632)+~P53(x29633,x29631,x29634)
% 182.47/182.09 [2964]P53(x29643,x29644,x29642)+~E(x29641,x29642)+~P53(x29643,x29644,x29641)
% 182.47/182.09 [2965]P52(x29652,x29653)+~E(x29651,x29652)+~P52(x29651,x29653)
% 182.47/182.09 [2966]P52(x29663,x29662)+~E(x29661,x29662)+~P52(x29663,x29661)
% 182.47/182.09 [2967]~P148(x29671)+P148(x29672)+~E(x29671,x29672)
% 182.47/182.09 [2968]~P99(x29681)+P99(x29682)+~E(x29681,x29682)
% 182.47/182.09 [2969]P54(x29692,x29693,x29694)+~E(x29691,x29692)+~P54(x29691,x29693,x29694)
% 182.47/182.09 [2970]P54(x29703,x29702,x29704)+~E(x29701,x29702)+~P54(x29703,x29701,x29704)
% 182.47/182.09 [2971]P54(x29713,x29714,x29712)+~E(x29711,x29712)+~P54(x29713,x29714,x29711)
% 182.47/182.09 [2972]~P131(x29721)+P131(x29722)+~E(x29721,x29722)
% 182.47/182.09 [2973]~P138(x29731)+P138(x29732)+~E(x29731,x29732)
% 182.47/182.09 [2974]~P113(x29741)+P113(x29742)+~E(x29741,x29742)
% 182.47/182.09 [2975]P40(x29752,x29753,x29754,x29755)+~E(x29751,x29752)+~P40(x29751,x29753,x29754,x29755)
% 182.47/182.09 [2976]P40(x29763,x29762,x29764,x29765)+~E(x29761,x29762)+~P40(x29763,x29761,x29764,x29765)
% 182.47/182.09 [2977]P40(x29773,x29774,x29772,x29775)+~E(x29771,x29772)+~P40(x29773,x29774,x29771,x29775)
% 182.47/182.09 [2978]P40(x29783,x29784,x29785,x29782)+~E(x29781,x29782)+~P40(x29783,x29784,x29785,x29781)
% 182.47/182.09 [2979]~P137(x29791)+P137(x29792)+~E(x29791,x29792)
% 182.47/182.09 [2980]P149(x29802,x29803)+~E(x29801,x29802)+~P149(x29801,x29803)
% 182.47/182.09 [2981]P149(x29813,x29812)+~E(x29811,x29812)+~P149(x29813,x29811)
% 182.47/182.09 [2982]~P98(x29821)+P98(x29822)+~E(x29821,x29822)
% 182.47/182.09 [2983]~P116(x29831)+P116(x29832)+~E(x29831,x29832)
% 182.47/182.09 [2984]P18(x29842,x29843,x29844)+~E(x29841,x29842)+~P18(x29841,x29843,x29844)
% 182.47/182.09 [2985]P18(x29853,x29852,x29854)+~E(x29851,x29852)+~P18(x29853,x29851,x29854)
% 182.47/182.09 [2986]P18(x29863,x29864,x29862)+~E(x29861,x29862)+~P18(x29863,x29864,x29861)
% 182.47/182.09 [2987]~P35(x29871)+P35(x29872)+~E(x29871,x29872)
% 182.47/182.09 [2988]P43(x29882,x29883)+~E(x29881,x29882)+~P43(x29881,x29883)
% 182.47/182.09 [2989]P43(x29893,x29892)+~E(x29891,x29892)+~P43(x29893,x29891)
% 182.47/182.09 [2990]P41(x29902,x29903,x29904,x29905,x29906,x29907)+~E(x29901,x29902)+~P41(x29901,x29903,x29904,x29905,x29906,x29907)
% 182.47/182.09 [2991]P41(x29913,x29912,x29914,x29915,x29916,x29917)+~E(x29911,x29912)+~P41(x29913,x29911,x29914,x29915,x29916,x29917)
% 182.47/182.09 [2992]P41(x29923,x29924,x29922,x29925,x29926,x29927)+~E(x29921,x29922)+~P41(x29923,x29924,x29921,x29925,x29926,x29927)
% 182.47/182.09 [2993]P41(x29933,x29934,x29935,x29932,x29936,x29937)+~E(x29931,x29932)+~P41(x29933,x29934,x29935,x29931,x29936,x29937)
% 182.47/182.09 [2994]P41(x29943,x29944,x29945,x29946,x29942,x29947)+~E(x29941,x29942)+~P41(x29943,x29944,x29945,x29946,x29941,x29947)
% 182.47/182.09 [2995]P41(x29953,x29954,x29955,x29956,x29957,x29952)+~E(x29951,x29952)+~P41(x29953,x29954,x29955,x29956,x29957,x29951)
% 182.47/182.09 [2996]~P118(x29961)+P118(x29962)+~E(x29961,x29962)
% 182.47/182.09 [2997]~P133(x29971)+P133(x29972)+~E(x29971,x29972)
% 182.47/182.09 [2998]~P122(x29981)+P122(x29982)+~E(x29981,x29982)
% 182.47/182.09 [2999]~P132(x29991)+P132(x29992)+~E(x29991,x29992)
% 182.47/182.09 [3000]P42(x30002,x30003)+~E(x30001,x30002)+~P42(x30001,x30003)
% 182.47/182.09 [3001]P42(x30013,x30012)+~E(x30011,x30012)+~P42(x30013,x30011)
% 182.47/182.09 [3002]~P72(x30021)+P72(x30022)+~E(x30021,x30022)
% 182.47/182.09 [3003]~P115(x30031)+P115(x30032)+~E(x30031,x30032)
% 182.47/182.09 [3004]~P134(x30041)+P134(x30042)+~E(x30041,x30042)
% 182.47/182.09 [3005]~P105(x30051)+P105(x30052)+~E(x30051,x30052)
% 182.47/182.09 [3006]P21(x30062,x30063,x30064,x30065,x30066)+~E(x30061,x30062)+~P21(x30061,x30063,x30064,x30065,x30066)
% 182.47/182.09 [3007]P21(x30073,x30072,x30074,x30075,x30076)+~E(x30071,x30072)+~P21(x30073,x30071,x30074,x30075,x30076)
% 182.47/182.09 [3008]P21(x30083,x30084,x30082,x30085,x30086)+~E(x30081,x30082)+~P21(x30083,x30084,x30081,x30085,x30086)
% 182.47/182.09 [3009]P21(x30093,x30094,x30095,x30092,x30096)+~E(x30091,x30092)+~P21(x30093,x30094,x30095,x30091,x30096)
% 182.47/182.09 [3010]P21(x30103,x30104,x30105,x30106,x30102)+~E(x30101,x30102)+~P21(x30103,x30104,x30105,x30106,x30101)
% 182.47/182.09 [3011]P12(x30112,x30113,x30114,x30115,x30116,x30117)+~E(x30111,x30112)+~P12(x30111,x30113,x30114,x30115,x30116,x30117)
% 182.47/182.09 [3012]P12(x30123,x30122,x30124,x30125,x30126,x30127)+~E(x30121,x30122)+~P12(x30123,x30121,x30124,x30125,x30126,x30127)
% 182.47/182.09 [3013]P12(x30133,x30134,x30132,x30135,x30136,x30137)+~E(x30131,x30132)+~P12(x30133,x30134,x30131,x30135,x30136,x30137)
% 182.47/182.09 [3014]P12(x30143,x30144,x30145,x30142,x30146,x30147)+~E(x30141,x30142)+~P12(x30143,x30144,x30145,x30141,x30146,x30147)
% 182.47/182.09 [3015]P12(x30153,x30154,x30155,x30156,x30152,x30157)+~E(x30151,x30152)+~P12(x30153,x30154,x30155,x30156,x30151,x30157)
% 182.47/182.09 [3016]P12(x30163,x30164,x30165,x30166,x30167,x30162)+~E(x30161,x30162)+~P12(x30163,x30164,x30165,x30166,x30167,x30161)
% 182.47/182.09 [3017]P46(x30172,x30173,x30174)+~E(x30171,x30172)+~P46(x30171,x30173,x30174)
% 182.47/182.09 [3018]P46(x30183,x30182,x30184)+~E(x30181,x30182)+~P46(x30183,x30181,x30184)
% 182.47/182.09 [3019]P46(x30193,x30194,x30192)+~E(x30191,x30192)+~P46(x30193,x30194,x30191)
% 182.47/182.09 [3020]~P92(x30201)+P92(x30202)+~E(x30201,x30202)
% 182.47/182.09 [3021]~P139(x30211)+P139(x30212)+~E(x30211,x30212)
% 182.47/182.09 [3022]~P107(x30221)+P107(x30222)+~E(x30221,x30222)
% 182.47/182.09 [3023]~P93(x30231)+P93(x30232)+~E(x30231,x30232)
% 182.47/182.09 [3024]P47(x30242,x30243,x30244)+~E(x30241,x30242)+~P47(x30241,x30243,x30244)
% 182.47/182.09 [3025]P47(x30253,x30252,x30254)+~E(x30251,x30252)+~P47(x30253,x30251,x30254)
% 182.47/182.09 [3026]P47(x30263,x30264,x30262)+~E(x30261,x30262)+~P47(x30263,x30264,x30261)
% 182.47/182.09 [3027]~P77(x30271)+P77(x30272)+~E(x30271,x30272)
% 182.47/182.09 [3028]P10(x30282,x30283,x30284,x30285,x30286)+~E(x30281,x30282)+~P10(x30281,x30283,x30284,x30285,x30286)
% 182.47/182.09 [3029]P10(x30293,x30292,x30294,x30295,x30296)+~E(x30291,x30292)+~P10(x30293,x30291,x30294,x30295,x30296)
% 182.47/182.09 [3030]P10(x30303,x30304,x30302,x30305,x30306)+~E(x30301,x30302)+~P10(x30303,x30304,x30301,x30305,x30306)
% 182.47/182.09 [3031]P10(x30313,x30314,x30315,x30312,x30316)+~E(x30311,x30312)+~P10(x30313,x30314,x30315,x30311,x30316)
% 182.47/182.09 [3032]P10(x30323,x30324,x30325,x30326,x30322)+~E(x30321,x30322)+~P10(x30323,x30324,x30325,x30326,x30321)
% 182.47/182.09 [3033]~P123(x30331)+P123(x30332)+~E(x30331,x30332)
% 182.47/182.09
% 182.47/182.09 %-------------------------------------------
% 182.50/182.14 cnf(10397,plain,
% 182.50/182.14 (~E(f318(a103,x103971),x103971)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10407,plain,
% 182.50/182.14 (~E(f318(a103,x104071),x104071)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10420,plain,
% 182.50/182.14 (~E(f318(a103,x104201),x104201)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10425,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x104251),f104(x104251)),x104252))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10428,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x104281),f104(x104281)),x104282))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10431,plain,
% 182.50/182.14 (~E(f318(a103,x104311),x104311)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10434,plain,
% 182.50/182.14 (~E(f318(a103,x104341),x104341)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10437,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x104371),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10440,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x104401),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10457,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x104571)),x104571))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(10460,plain,
% 182.50/182.14 (~E(f318(f318(f142(x104601),x104602),x104603),x104603)),
% 182.50/182.14 inference(rename_variables,[],[4586])).
% 182.50/182.14 cnf(10466,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x104661),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10469,plain,
% 182.50/182.14 (E(f318(f275(x104691,x104691),f254(x104691,x104692)),x104692)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(10472,plain,
% 182.50/182.14 (E(f318(f275(x104721,x104721),f254(x104721,x104722)),x104722)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(10477,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x104771),x104771))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(10482,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x104821),x104822)),x104822))),
% 182.50/182.14 inference(rename_variables,[],[4629])).
% 182.50/182.14 cnf(10485,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x104851),x104852)),x104852))),
% 182.50/182.14 inference(rename_variables,[],[4629])).
% 182.50/182.14 cnf(10506,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x105061),x105061))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(10509,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f40(a898,x105091,x105092)),x105091))),
% 182.50/182.14 inference(rename_variables,[],[3878])).
% 182.50/182.14 cnf(10530,plain,
% 182.50/182.14 (E(f318(f29(a898),f318(f273(a898),x105301)),x105301)),
% 182.50/182.14 inference(rename_variables,[],[3325])).
% 182.50/182.14 cnf(10538,plain,
% 182.50/182.14 (~E(f318(a103,x105381),x105381)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10543,plain,
% 182.50/182.14 (~E(f318(a103,x105431),x105431)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10546,plain,
% 182.50/182.14 (~E(f318(a103,x105461),x105461)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10551,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x105511),f318(a103,x105511)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10560,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x105601),x105601))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(10567,plain,
% 182.50/182.14 (E(f318(f275(x105671,x105671),f254(x105671,x105672)),x105672)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(10570,plain,
% 182.50/182.14 (E(f318(f275(x105701,x105701),f254(x105701,x105702)),x105702)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(10587,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x105871),x105871))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(10592,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x105921),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10595,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x105951,a894)),x105952),f233(f905(x105951,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(10600,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x106001),f104(x106001)),x106002))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10629,plain,
% 182.50/182.14 (~E(f318(f318(f142(x106291),x106292),x106293),x106293)),
% 182.50/182.14 inference(rename_variables,[],[4586])).
% 182.50/182.14 cnf(10632,plain,
% 182.50/182.14 (~E(f318(a103,x106321),f2(a898))),
% 182.50/182.14 inference(rename_variables,[],[4579])).
% 182.50/182.14 cnf(10643,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x106431),x106431))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(10648,plain,
% 182.50/182.14 (~E(f318(a103,x106481),x106481)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10651,plain,
% 182.50/182.14 (~P1(f318(f318(f179(f905(x106511,f905(x106512,a894))),x106513),x106514))),
% 182.50/182.14 inference(rename_variables,[],[4632])).
% 182.50/182.14 cnf(10658,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x106581),x106581))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(10671,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x106711),f318(a103,x106711)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10692,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x106921,a894)),x106922),f233(f905(x106921,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(10695,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x106951),f104(x106951)),x106952))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10714,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107141),f104(x107141)),x107142))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10721,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107211),f104(x107211)),x107212))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10732,plain,
% 182.50/182.14 (~E(f318(a103,x107321),f2(a898))),
% 182.50/182.14 inference(rename_variables,[],[4579])).
% 182.50/182.14 cnf(10737,plain,
% 182.50/182.14 (P1(f318(f318(f320(x107371),x107372),f233(f905(x107371,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(10744,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107441),f104(x107441)),x107442))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10749,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x107491),f318(a103,x107491)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10752,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107521),f104(x107521)),x107522))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10755,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107551),f104(x107551)),x107552))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10758,plain,
% 182.50/182.14 (~P1(f318(f56(x107581,x107582,f179(f905(x107581,a894))),x107583))),
% 182.50/182.14 inference(rename_variables,[],[4628])).
% 182.50/182.14 cnf(10761,plain,
% 182.50/182.14 (~P1(f318(f56(x107611,x107612,f179(f905(x107611,a894))),x107613))),
% 182.50/182.14 inference(rename_variables,[],[4628])).
% 182.50/182.14 cnf(10764,plain,
% 182.50/182.14 (~P1(f318(f318(f179(f905(x107641,f905(x107642,a894))),x107643),x107644))),
% 182.50/182.14 inference(rename_variables,[],[4632])).
% 182.50/182.14 cnf(10767,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x107671),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10772,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x107721),f104(x107721)),x107722))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10783,plain,
% 182.50/182.14 (~E(f318(a103,x107831),x107831)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(10808,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x108081),x108081))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(10811,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x108111),f318(f318(f76(a898),x108111),x108111)))),
% 182.50/182.14 inference(rename_variables,[],[3688])).
% 182.50/182.14 cnf(10814,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x108141),f318(f318(f76(a898),x108141),x108141)))),
% 182.50/182.14 inference(rename_variables,[],[3688])).
% 182.50/182.14 cnf(10817,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x108171),f318(a103,f318(f318(f75(a898),x108172),x108171))))),
% 182.50/182.14 inference(rename_variables,[],[3871])).
% 182.50/182.14 cnf(10822,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x108221),f318(a103,x108221)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10825,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x108251),f318(a103,x108251)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10828,plain,
% 182.50/182.14 (P1(f318(f318(f320(x108281),x108282),f233(f905(x108281,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(10847,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x108471)),x108471))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(10850,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x108501)),x108501))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(10853,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x108531),x108532)),x108532))),
% 182.50/182.14 inference(rename_variables,[],[4629])).
% 182.50/182.14 cnf(10856,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x108561),x108562)),x108562))),
% 182.50/182.14 inference(rename_variables,[],[4629])).
% 182.50/182.14 cnf(10859,plain,
% 182.50/182.14 (P1(f318(f233(f905(x108591,a894)),x108592))),
% 182.50/182.14 inference(rename_variables,[],[3489])).
% 182.50/182.14 cnf(10862,plain,
% 182.50/182.14 (E(f318(f29(a898),f318(f273(a898),x108621)),x108621)),
% 182.50/182.14 inference(rename_variables,[],[3325])).
% 182.50/182.14 cnf(10865,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x108651),f318(a103,x108651)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10872,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x108721),x108721))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(10877,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x108771),x108771))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(10880,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x108801,a894)),f318(f163(x108801),f318(f127(x108801,x108802),x108803))),f318(f163(x108801),x108803)))),
% 182.50/182.14 inference(rename_variables,[],[4066])).
% 182.50/182.14 cnf(10889,plain,
% 182.50/182.14 (E(f318(f275(x108891,x108891),f254(x108891,x108892)),x108892)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(10892,plain,
% 182.50/182.14 (P1(f318(f233(f905(x108921,a894)),x108922))),
% 182.50/182.14 inference(rename_variables,[],[3489])).
% 182.50/182.14 cnf(10895,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f2(a898)),x108951))),
% 182.50/182.14 inference(rename_variables,[],[3452])).
% 182.50/182.14 cnf(10898,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x108981,a894)),f179(f905(x108981,a894))),x108982))),
% 182.50/182.14 inference(rename_variables,[],[3870])).
% 182.50/182.14 cnf(10901,plain,
% 182.50/182.14 (P1(f318(f233(f905(x109011,a894)),x109012))),
% 182.50/182.14 inference(rename_variables,[],[3489])).
% 182.50/182.14 cnf(10904,plain,
% 182.50/182.14 (P1(f318(f233(f905(x109041,a894)),x109042))),
% 182.50/182.14 inference(rename_variables,[],[3489])).
% 182.50/182.14 cnf(10907,plain,
% 182.50/182.14 (P1(f318(f233(f905(x109071,a894)),x109072))),
% 182.50/182.14 inference(rename_variables,[],[3489])).
% 182.50/182.14 cnf(10910,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x109101),f318(f318(f76(a898),x109101),x109101)))),
% 182.50/182.14 inference(rename_variables,[],[3688])).
% 182.50/182.14 cnf(10950,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x109501),x109501))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(10961,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x109611),f104(x109611)),x109612))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(10968,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x109681),f318(a103,x109681)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(10971,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x109711),x109711))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(10976,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x109761),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10991,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x109911),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(10994,plain,
% 182.50/182.14 (~P1(f318(f318(f227(f905(x109941,a894)),x109942),f179(f905(x109941,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4626])).
% 182.50/182.14 cnf(10997,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x109971),x109971))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11000,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x110001),x110001))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11015,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x110151),x110151))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(11024,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x110241),x110242),f179(f905(x110241,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11031,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x110311),x110311))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11034,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x110341,a894)),f318(f301(x110342,x110341,x110343),f318(f302(x110342,x110341,x110343),x110344))),x110344))),
% 182.50/182.14 inference(rename_variables,[],[4294])).
% 182.50/182.14 cnf(11043,plain,
% 182.50/182.14 (E(f318(f301(x110431,x110431,f5(x110431)),x110432),x110432)),
% 182.50/182.14 inference(rename_variables,[],[3485])).
% 182.50/182.14 cnf(11048,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f2(a898)),x110481))),
% 182.50/182.14 inference(rename_variables,[],[3452])).
% 182.50/182.14 cnf(11051,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x110511),x110511))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11054,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x110541),x110541))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(11063,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x110631),x110631))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(11074,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x110741),f318(f318(f76(a898),x110741),x110741)))),
% 182.50/182.14 inference(rename_variables,[],[3688])).
% 182.50/182.14 cnf(11087,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x110871),x110871))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11090,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x110901),x110901))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(11093,plain,
% 182.50/182.14 (~E(f318(a103,x110931),x110931)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11098,plain,
% 182.50/182.14 (P1(f318(f318(f320(x110981),x110982),f233(f905(x110981,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11103,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x111031),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(11118,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f2(a898)),x111181))),
% 182.50/182.14 inference(rename_variables,[],[3452])).
% 182.50/182.14 cnf(11125,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x111251),x111251))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11134,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x111341),x111342),f179(f905(x111341,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11142,plain,
% 182.50/182.14 (P1(f318(f318(f320(x111421),x111422),f233(f905(x111421,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11145,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x111451),f899(x111451))),f318(f318(f243(f899(x111451),f899(x111451)),x111452),f104(x111451))),f136(x111451,x111453)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11155,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x111551),x111552),f179(f905(x111551,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11158,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x111581),x111582),f179(f905(x111581,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11161,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x111611,a894)),x111612),f318(f318(f300(x111611),x111613),x111612)))),
% 182.50/182.14 inference(rename_variables,[],[3868])).
% 182.50/182.14 cnf(11164,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x111641),x111641))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11167,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x111671,a894)),x111672),f318(f318(f300(x111671),x111673),x111672)))),
% 182.50/182.14 inference(rename_variables,[],[3868])).
% 182.50/182.14 cnf(11170,plain,
% 182.50/182.14 (E(f318(f301(x111701,x111701,f5(x111701)),x111702),x111702)),
% 182.50/182.14 inference(rename_variables,[],[3485])).
% 182.50/182.14 cnf(11185,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x111851,a894)),x111852),f318(f318(f300(x111851),x111853),x111852)))),
% 182.50/182.14 inference(rename_variables,[],[3868])).
% 182.50/182.14 cnf(11198,plain,
% 182.50/182.14 (~E(f318(a103,x111981),f2(a898))),
% 182.50/182.14 inference(rename_variables,[],[4579])).
% 182.50/182.14 cnf(11201,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x112011),f104(x112011)),x112012))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(11214,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x112141),f318(a103,x112141)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(11224,plain,
% 182.50/182.14 (~E(f318(f301(x112241,f905(x112241,a894),x112242),x112243),f318(f299(x112241),x112243))),
% 182.50/182.14 inference(rename_variables,[],[4616])).
% 182.50/182.14 cnf(11227,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x112271),x112272),f179(f905(x112271,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11230,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x112301),x112302),f179(f905(x112301,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11233,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(x112331,x112331)),f318(f318(f243(x112331,x112331),x112332),x112333)),f144(x112331,f104(f905(x112331,a898)))))),
% 182.50/182.14 inference(rename_variables,[],[4634])).
% 182.50/182.14 cnf(11236,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(x112361,x112361)),f318(f318(f243(x112361,x112361),x112362),x112363)),f144(x112361,f104(f905(x112361,a898)))))),
% 182.50/182.14 inference(rename_variables,[],[4634])).
% 182.50/182.14 cnf(11241,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x112411),x112412),f179(f905(x112411,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11244,plain,
% 182.50/182.14 (P1(f318(f318(f320(f904(x112441,x112441)),f318(f318(f243(x112441,x112441),x112442),x112442)),f298(x112441,x112443)))),
% 182.50/182.14 inference(rename_variables,[],[4056])).
% 182.50/182.14 cnf(11247,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x112471,a894)),f318(f163(x112471),f167(x112471,x112472,x112473))),f318(f163(x112471),x112472)))),
% 182.50/182.14 inference(rename_variables,[],[4114])).
% 182.50/182.14 cnf(11250,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x112501,a894)),x112502),f233(f905(x112501,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(11266,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x112661,a894)),f179(f905(x112661,a894))),x112662))),
% 182.50/182.14 inference(rename_variables,[],[3870])).
% 182.50/182.14 cnf(11277,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x112771),f899(x112771))),f318(f318(f243(f899(x112771),f899(x112771)),x112772),f104(x112771))),f138(x112771,x112773)))),
% 182.50/182.14 inference(rename_variables,[],[4636])).
% 182.50/182.14 cnf(11288,plain,
% 182.50/182.14 (~E(f318(a103,x112881),x112881)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11291,plain,
% 182.50/182.14 (~E(f318(a103,x112911),x112911)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11303,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x113031,a894)),x113032),x113032))),
% 182.50/182.14 inference(rename_variables,[],[3719])).
% 182.50/182.14 cnf(11310,plain,
% 182.50/182.14 (~E(f318(a103,x113101),x113101)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11313,plain,
% 182.50/182.14 (~E(f318(a103,x113131),x113131)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11318,plain,
% 182.50/182.14 (P24(x113181,x113181,f5(x113181),x113182)),
% 182.50/182.14 inference(rename_variables,[],[3663])).
% 182.50/182.14 cnf(11323,plain,
% 182.50/182.14 (~E(f318(f301(x113231,f905(x113231,a894),x113232),x113233),f318(f299(x113231),x113233))),
% 182.50/182.14 inference(rename_variables,[],[4616])).
% 182.50/182.14 cnf(11328,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x113281,a894)),x113282),f233(f905(x113281,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(11344,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x113441),x113442),f179(f905(x113441,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11347,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x113471)),x113471))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11352,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x113521),x113522),f179(f905(x113521,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11363,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x113631)),x113631))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11366,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x113661),x113662),f179(f905(x113661,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11379,plain,
% 182.50/182.14 (P1(f318(f318(f320(f904(x113791,x113791)),f318(f318(f243(x113791,x113791),x113792),x113792)),f298(x113791,x113793)))),
% 182.50/182.14 inference(rename_variables,[],[4056])).
% 182.50/182.14 cnf(11382,plain,
% 182.50/182.14 (P1(f318(f318(f320(x113821),x113822),f233(f905(x113821,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11385,plain,
% 182.50/182.14 (P1(f318(f318(f320(x113851),x113852),f233(f905(x113851,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11392,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x113921),f899(x113921))),f318(f318(f243(f899(x113921),f899(x113921)),x113922),f104(x113921))),f136(x113921,x113923)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11395,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x113951),f899(x113951))),f318(f318(f243(f899(x113951),f899(x113951)),x113952),f104(x113951))),f138(x113951,x113953)))),
% 182.50/182.14 inference(rename_variables,[],[4636])).
% 182.50/182.14 cnf(11398,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x113981),f899(x113981))),f318(f318(f243(f899(x113981),f899(x113981)),x113982),f104(x113981))),f148(x113981,x113983)))),
% 182.50/182.14 inference(rename_variables,[],[4637])).
% 182.50/182.14 cnf(11403,plain,
% 182.50/182.14 (~P1(f318(f318(f227(f905(x114031,a894)),x114032),f179(f905(x114031,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4626])).
% 182.50/182.14 cnf(11406,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x114061),x114062),f179(f905(x114061,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11413,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x114131,a894)),x114132),f233(f905(x114131,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(11420,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x114201),f104(x114201)),x114202))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(11425,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x114251),x114252),f179(f905(x114251,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11428,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(x114281,x114281)),f318(f318(f243(x114281,x114281),x114282),x114283)),f144(x114281,f104(f905(x114281,a898)))))),
% 182.50/182.14 inference(rename_variables,[],[4634])).
% 182.50/182.14 cnf(11431,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x114311,a894)),x114312),x114312))),
% 182.50/182.14 inference(rename_variables,[],[3719])).
% 182.50/182.14 cnf(11434,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x114341),x114342),f179(f905(x114341,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11437,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x114371,a894)),f179(f905(x114371,a894))),x114372))),
% 182.50/182.14 inference(rename_variables,[],[3870])).
% 182.50/182.14 cnf(11440,plain,
% 182.50/182.14 (P1(f318(f318(f320(f904(x114401,x114401)),f318(f318(f243(x114401,x114401),x114402),x114402)),f298(x114401,x114403)))),
% 182.50/182.14 inference(rename_variables,[],[4056])).
% 182.50/182.14 cnf(11458,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x114581),f899(x114581))),f318(f318(f243(f899(x114581),f899(x114581)),f104(x114581)),x114582)),f136(x114581,x114583)))),
% 182.50/182.14 inference(rename_variables,[],[4638])).
% 182.50/182.14 cnf(11466,plain,
% 182.50/182.14 (P1(f318(f318(f320(x114661),x114662),f233(f905(x114661,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11471,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x114711,a894)),f179(f905(x114711,a894))),x114712))),
% 182.50/182.14 inference(rename_variables,[],[3870])).
% 182.50/182.14 cnf(11474,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x114741),x114742),f179(f905(x114741,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11477,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(x114771,a894)),x114772),f233(f905(x114771,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3804])).
% 182.50/182.14 cnf(11503,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x115031),f899(x115031))),f318(f318(f243(f899(x115031),f899(x115031)),x115032),f104(x115031))),f136(x115031,x115033)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11506,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x115061),f899(x115061))),f318(f318(f243(f899(x115061),f899(x115061)),x115062),f104(x115061))),f138(x115061,x115063)))),
% 182.50/182.14 inference(rename_variables,[],[4636])).
% 182.50/182.14 cnf(11512,plain,
% 182.50/182.14 (~E(f318(a103,x115121),x115121)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11515,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115151),x115152),f179(f905(x115151,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11520,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115201),x115202),f179(f905(x115201,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11523,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115231),x115232),f179(f905(x115231,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11526,plain,
% 182.50/182.14 (P1(f318(f318(f320(f904(f899(x115261),f899(x115261))),f318(f318(f243(f899(x115261),f899(x115261)),x115262),x115262)),f149(x115261,f298(x115261,x115263))))),
% 182.50/182.14 inference(rename_variables,[],[4191])).
% 182.50/182.14 cnf(11529,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x115291),f899(x115291))),f318(f318(f243(f899(x115291),f899(x115291)),x115292),f104(x115291))),f136(x115291,x115293)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11539,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(x115391,x115391)),f318(f318(f243(x115391,x115391),x115392),x115393)),f144(x115391,f104(f905(x115391,a898)))))),
% 182.50/182.14 inference(rename_variables,[],[4634])).
% 182.50/182.14 cnf(11542,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115421),x115422),f179(f905(x115421,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11545,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115451),x115452),f179(f905(x115451,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11548,plain,
% 182.50/182.14 (P1(f318(f318(f320(x115481),x115482),f233(f905(x115481,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11551,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x115511),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(11556,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(x115561,x115561)),f318(f318(f243(x115561,x115561),x115562),x115563)),f144(x115561,f104(f905(x115561,a898)))))),
% 182.50/182.14 inference(rename_variables,[],[4634])).
% 182.50/182.14 cnf(11565,plain,
% 182.50/182.14 (~E(f318(f301(x115651,f905(x115651,a894),x115652),x115653),f318(f299(x115651),x115653))),
% 182.50/182.14 inference(rename_variables,[],[4616])).
% 182.50/182.14 cnf(11568,plain,
% 182.50/182.14 (~E(f318(f301(x115681,f905(x115681,a894),x115682),x115683),f318(f299(x115681),x115683))),
% 182.50/182.14 inference(rename_variables,[],[4616])).
% 182.50/182.14 cnf(11573,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x115731),f899(x115731))),f318(f318(f243(f899(x115731),f899(x115731)),x115732),f104(x115731))),f136(x115731,x115733)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11579,plain,
% 182.50/182.14 (~P1(f318(f318(f320(f904(f899(x115791),f899(x115791))),f318(f318(f243(f899(x115791),f899(x115791)),x115792),f104(x115791))),f136(x115791,x115793)))),
% 182.50/182.14 inference(rename_variables,[],[4635])).
% 182.50/182.14 cnf(11582,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115821),x115822),f179(f905(x115821,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11587,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115871),x115872),f179(f905(x115871,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11590,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115901),x115902),f179(f905(x115901,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11593,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115931),x115932),f179(f905(x115931,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11596,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x115961),x115962),f179(f905(x115961,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11599,plain,
% 182.50/182.14 (P1(f318(f318(f320(x115991),f318(x115992,x115993)),f318(f301(x115994,x115991,x115992),f233(f905(x115994,a894)))))),
% 182.50/182.14 inference(rename_variables,[],[4021])).
% 182.50/182.14 cnf(11610,plain,
% 182.50/182.14 (E(f105(x116101,f104(x116101)),f104(x116101))),
% 182.50/182.14 inference(rename_variables,[],[3275])).
% 182.50/182.14 cnf(11613,plain,
% 182.50/182.14 (~E(f318(a103,x116131),x116131)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11620,plain,
% 182.50/182.14 (~E(f318(a103,x116201),x116201)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11625,plain,
% 182.50/182.14 (E(f318(f275(x116251,x116251),f254(x116251,x116252)),x116252)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11628,plain,
% 182.50/182.14 (E(f318(f275(x116281,x116281),f254(x116281,x116282)),x116282)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11634,plain,
% 182.50/182.14 (~E(f318(a103,x116341),x116341)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11646,plain,
% 182.50/182.14 (E(f318(f318(f23(a898),f2(a898)),x116461),f2(a898))),
% 182.50/182.14 inference(rename_variables,[],[3347])).
% 182.50/182.14 cnf(11649,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x116491),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(11656,plain,
% 182.50/182.14 (E(f318(f318(f75(a1),f318(f318(f76(a1),x116561),f318(f318(f30(a1),x116562),x116561))),f40(a1,x116562,x116561)),x116562)),
% 182.50/182.14 inference(rename_variables,[],[3971])).
% 182.50/182.14 cnf(11680,plain,
% 182.50/182.14 (~E(f318(a103,x116801),x116801)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11683,plain,
% 182.50/182.14 (~E(f318(a103,x116831),x116831)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11709,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x117091),f104(x117091)),x117092))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(11715,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),f2(a898)),f318(a103,x117151)))),
% 182.50/182.14 inference(rename_variables,[],[3508])).
% 182.50/182.14 cnf(11716,plain,
% 182.50/182.14 (~E(f318(a103,x117161),x117161)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11719,plain,
% 182.50/182.14 (P1(f318(f318(f320(x117191),x117192),f233(f905(x117191,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11731,plain,
% 182.50/182.14 (~E(f318(a103,x117311),x117311)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11734,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x117341),x117341))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(11742,plain,
% 182.50/182.14 (E(f318(f275(x117421,x117421),f254(x117421,x117422)),x117422)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11755,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x117551),x117552)),x117552))),
% 182.50/182.14 inference(rename_variables,[],[4629])).
% 182.50/182.14 cnf(11758,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a1),f318(f91(a1),x117581)),f2(a1)))),
% 182.50/182.14 inference(rename_variables,[],[4622])).
% 182.50/182.14 cnf(11781,plain,
% 182.50/182.14 (E(f318(f275(x117811,x117811),f254(x117811,x117812)),x117812)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11786,plain,
% 182.50/182.14 (E(f318(f275(x117861,x117861),f254(x117861,x117862)),x117862)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11789,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a1),f318(f91(a1),x117891)),f2(a1)))),
% 182.50/182.14 inference(rename_variables,[],[4622])).
% 182.50/182.14 cnf(11794,plain,
% 182.50/182.14 (~E(f318(a103,x117941),x117941)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11803,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x118031),f104(x118031)),x118032))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(11826,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a1),f318(f91(a1),x118261)),f2(a1)))),
% 182.50/182.14 inference(rename_variables,[],[4622])).
% 182.50/182.14 cnf(11829,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x118291),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(11830,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x118301),f318(a103,x118301)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(11833,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a1),f318(f91(a1),x118331)),f2(a1)))),
% 182.50/182.14 inference(rename_variables,[],[4622])).
% 182.50/182.14 cnf(11836,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x118361),x118362),f179(f905(x118361,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11837,plain,
% 182.50/182.14 (P1(f318(f318(f320(f905(x118371,a894)),x118372),f318(f299(x118371),x118372)))),
% 182.50/182.14 inference(rename_variables,[],[3787])).
% 182.50/182.14 cnf(11852,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x118521)),x118521))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11853,plain,
% 182.50/182.14 (~E(f318(a103,x118531),x118531)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11863,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),f318(f318(f75(a898),x118631),x118632)),x118631))),
% 182.50/182.14 inference(rename_variables,[],[4630])).
% 182.50/182.14 cnf(11866,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a1),f318(f91(a1),x118661)),f2(a1)))),
% 182.50/182.14 inference(rename_variables,[],[4622])).
% 182.50/182.14 cnf(11869,plain,
% 182.50/182.14 (~E(f318(a103,x118691),x118691)),
% 182.50/182.14 inference(rename_variables,[],[4573])).
% 182.50/182.14 cnf(11883,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a1),f2(a1)),f318(f74(a1),f318(f91(a1),f318(a103,x118831)))))),
% 182.50/182.14 inference(rename_variables,[],[4631])).
% 182.50/182.14 cnf(11886,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),f318(f318(f23(a898),x118861),x118862)),f318(a103,x118861)))),
% 182.50/182.14 inference(rename_variables,[],[3873])).
% 182.50/182.14 cnf(11889,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f40(a898,x118891,x118892)),x118891))),
% 182.50/182.14 inference(rename_variables,[],[3878])).
% 182.50/182.14 cnf(11895,plain,
% 182.50/182.14 (E(f318(f275(x118951,x118951),f254(x118951,x118952)),x118952)),
% 182.50/182.14 inference(rename_variables,[],[3391])).
% 182.50/182.14 cnf(11900,plain,
% 182.50/182.14 (E(f318(f318(f125(x119001),f160(x119001,x119002,x119003)),f160(x119001,x119004,x119003)),f318(f318(f125(x119001),f160(x119001,x119004,x119003)),f160(x119001,x119002,x119003)))),
% 182.50/182.14 inference(rename_variables,[],[3985])).
% 182.50/182.14 cnf(11905,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x119051)),x119051))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11914,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x119141),x119141))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(11917,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f40(a898,x119171,x119172)),x119171))),
% 182.50/182.14 inference(rename_variables,[],[3878])).
% 182.50/182.14 cnf(11918,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f2(a898)),x119181))),
% 182.50/182.14 inference(rename_variables,[],[3452])).
% 182.50/182.14 cnf(11935,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x119351),x119351))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(11938,plain,
% 182.50/182.14 (P1(f318(f318(f320(x119381),f318(x119382,x119383)),f318(f301(x119384,x119381,x119382),f233(f905(x119384,a894)))))),
% 182.50/182.14 inference(rename_variables,[],[4021])).
% 182.50/182.14 cnf(11939,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x119391)),x119391))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11951,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x119511),f104(x119511)),x119512))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(11954,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x119541),x119541))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(11965,plain,
% 182.50/182.14 (P1(f318(f318(f320(x119651),x119652),f233(f905(x119651,a894))))),
% 182.50/182.14 inference(rename_variables,[],[3579])).
% 182.50/182.14 cnf(11966,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x119661)),x119661))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(11979,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x119791),x119792),f179(f905(x119791,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(11982,plain,
% 182.50/182.14 (E(f318(f318(f16(x119821,x119822),x119823),x119824),x119823)),
% 182.50/182.14 inference(rename_variables,[],[3422])).
% 182.50/182.14 cnf(12000,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x120001),x120001))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(12005,plain,
% 182.50/182.14 (P1(f318(f28(x120051),f318(f163(x120051),x120052)))),
% 182.50/182.14 inference(rename_variables,[],[3470])).
% 182.50/182.14 cnf(12008,plain,
% 182.50/182.14 (P1(f318(f28(x120081),f318(f163(x120081),x120082)))),
% 182.50/182.14 inference(rename_variables,[],[3470])).
% 182.50/182.14 cnf(12014,plain,
% 182.50/182.14 (~P1(f318(f318(f320(x120141),x120142),f179(f905(x120141,a894))))),
% 182.50/182.14 inference(rename_variables,[],[4618])).
% 182.50/182.14 cnf(12035,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x120351),x120351))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(12038,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x120381),f318(a103,x120381)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(12041,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x120411),x120411))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(12052,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x120521),x120521))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(12055,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x120551),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(12060,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x120601),f2(a898)))),
% 182.50/182.14 inference(rename_variables,[],[4610])).
% 182.50/182.14 cnf(12069,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),f2(a898)),x120691))),
% 182.50/182.14 inference(rename_variables,[],[3452])).
% 182.50/182.14 cnf(12070,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x120701)),x120701))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(12073,plain,
% 182.50/182.14 (~P1(f318(f318(f163(x120731),f104(x120731)),x120732))),
% 182.50/182.14 inference(rename_variables,[],[4613])).
% 182.50/182.14 cnf(12084,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x120841),f318(a103,x120841)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(12099,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x120991)),x120991))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(12102,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x121021)),x121021))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(12105,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x121051)),x121051))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(12108,plain,
% 182.50/182.14 (~P1(f318(f318(f226(a898),f318(a103,x121081)),x121081))),
% 182.50/182.14 inference(rename_variables,[],[4615])).
% 182.50/182.14 cnf(12111,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x121111),x121111))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(12114,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x121141),x121141))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(12117,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x121171),x121171))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(12120,plain,
% 182.50/182.14 (~P1(f318(f318(f227(a898),x121201),x121201))),
% 182.50/182.14 inference(rename_variables,[],[4606])).
% 182.50/182.14 cnf(12137,plain,
% 182.50/182.14 (P1(f318(f318(f226(a898),x121371),x121371))),
% 182.50/182.14 inference(rename_variables,[],[3431])).
% 182.50/182.14 cnf(12143,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x121431),x121431))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(12154,plain,
% 182.50/182.14 (P1(f318(f318(f226(a1),x121541),x121541))),
% 182.50/182.14 inference(rename_variables,[],[3432])).
% 182.50/182.14 cnf(12157,plain,
% 182.50/182.14 (P1(f318(f318(f226(f905(f904(f899(x121571),f899(x121571)),a894)),f149(x121571,x121572)),f298(f899(x121571),f148(x121571,x121572))))),
% 182.50/182.14 inference(rename_variables,[],[4119])).
% 182.50/182.14 cnf(12164,plain,
% 182.50/182.14 (P1(f318(f318(f227(a898),x121641),f318(a103,x121641)))),
% 182.50/182.14 inference(rename_variables,[],[3496])).
% 182.50/182.14 cnf(12167,plain,
% 182.50/182.14 (P1(f318(f318(f320(f905(x121671,a894)),x121672),f318(f299(x121671),x121672)))),
% 182.50/182.15 inference(rename_variables,[],[3787])).
% 182.50/182.15 cnf(12168,plain,
% 182.50/182.15 (~E(f318(a103,x121681),x121681)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12173,plain,
% 182.50/182.15 (P1(f318(f318(f226(a1),x121731),x121731))),
% 182.50/182.15 inference(rename_variables,[],[3432])).
% 182.50/182.15 cnf(12178,plain,
% 182.50/182.15 (P1(f318(f318(f226(a1),x121781),x121781))),
% 182.50/182.15 inference(rename_variables,[],[3432])).
% 182.50/182.15 cnf(12189,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x121891,a894)),x121892),f318(f318(f300(x121891),x121893),x121892)))),
% 182.50/182.15 inference(rename_variables,[],[3868])).
% 182.50/182.15 cnf(12192,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x121921),x121921))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12193,plain,
% 182.50/182.15 (~E(f318(a103,x121931),x121931)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12206,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122061),x122061))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12207,plain,
% 182.50/182.15 (~E(f318(a103,x122071),x122071)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12210,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x122101),x122101))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12213,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x122131),x122131))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12216,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x122161),x122161))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12219,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x122191),x122191))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12222,plain,
% 182.50/182.15 (P1(f318(f318(f226(a1),x122221),x122221))),
% 182.50/182.15 inference(rename_variables,[],[3432])).
% 182.50/182.15 cnf(12225,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122251),x122251))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12228,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122281),x122281))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12229,plain,
% 182.50/182.15 (P1(f318(f318(f227(a898),x122291),f318(a103,x122291)))),
% 182.50/182.15 inference(rename_variables,[],[3496])).
% 182.50/182.15 cnf(12236,plain,
% 182.50/182.15 (~E(f318(a103,x122361),x122361)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12241,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122411),x122411))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12242,plain,
% 182.50/182.15 (~E(f318(a103,x122421),x122421)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12245,plain,
% 182.50/182.15 (P1(f318(f318(f226(a1),x122451),x122451))),
% 182.50/182.15 inference(rename_variables,[],[3432])).
% 182.50/182.15 cnf(12267,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),f2(a898)),x122671))),
% 182.50/182.15 inference(rename_variables,[],[3452])).
% 182.50/182.15 cnf(12283,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122831),f2(a898)))),
% 182.50/182.15 inference(rename_variables,[],[4610])).
% 182.50/182.15 cnf(12286,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122861),f2(a898)))),
% 182.50/182.15 inference(rename_variables,[],[4610])).
% 182.50/182.15 cnf(12289,plain,
% 182.50/182.15 (~P1(f318(f318(f320(x122891),x122892),f179(f905(x122891,a894))))),
% 182.50/182.15 inference(rename_variables,[],[4618])).
% 182.50/182.15 cnf(12292,plain,
% 182.50/182.15 (~P1(f318(f318(f320(x122921),x122922),f179(f905(x122921,a894))))),
% 182.50/182.15 inference(rename_variables,[],[4618])).
% 182.50/182.15 cnf(12295,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122951),x122951))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12298,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x122981),x122981))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12301,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x123011),x123011))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12304,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x123041),x123041))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12307,plain,
% 182.50/182.15 (P1(f318(f318(f227(a898),x123071),f318(a103,x123071)))),
% 182.50/182.15 inference(rename_variables,[],[3496])).
% 182.50/182.15 cnf(12314,plain,
% 182.50/182.15 (P1(f318(f318(f320(f905(x123141,a894)),x123142),f318(f299(x123141),x123142)))),
% 182.50/182.15 inference(rename_variables,[],[3787])).
% 182.50/182.15 cnf(12319,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x123191,a894)),x123192),f318(f318(f300(x123191),x123193),x123192)))),
% 182.50/182.15 inference(rename_variables,[],[3868])).
% 182.50/182.15 cnf(12326,plain,
% 182.50/182.15 (~P1(f318(f318(f320(x123261),x123262),f179(f905(x123261,a894))))),
% 182.50/182.15 inference(rename_variables,[],[4618])).
% 182.50/182.15 cnf(12335,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x123351,a894)),x123352),f233(f905(x123351,a894))))),
% 182.50/182.15 inference(rename_variables,[],[3804])).
% 182.50/182.15 cnf(12336,plain,
% 182.50/182.15 (~E(f318(a103,x123361),x123361)),
% 182.50/182.15 inference(rename_variables,[],[4573])).
% 182.50/182.15 cnf(12342,plain,
% 182.50/182.15 (P1(f318(f318(f227(a898),x123421),f318(a103,x123421)))),
% 182.50/182.15 inference(rename_variables,[],[3496])).
% 182.50/182.15 cnf(12362,plain,
% 182.50/182.15 (~P1(f318(f318(f226(a898),f318(a103,x123621)),x123621))),
% 182.50/182.15 inference(rename_variables,[],[4615])).
% 182.50/182.15 cnf(12363,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x123631),f2(a898)))),
% 182.50/182.15 inference(rename_variables,[],[4610])).
% 182.50/182.15 cnf(12368,plain,
% 182.50/182.15 (P1(f318(f28(x123681),f179(f905(x123681,a894))))),
% 182.50/182.15 inference(rename_variables,[],[3504])).
% 182.50/182.15 cnf(12369,plain,
% 182.50/182.15 (~P1(f318(f318(f320(x123691),x123692),f179(f905(x123691,a894))))),
% 182.50/182.15 inference(rename_variables,[],[4618])).
% 182.50/182.15 cnf(12376,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x123761,a894)),f318(f163(x123761),f167(x123761,x123762,x123763))),f318(f163(x123761),x123762)))),
% 182.50/182.15 inference(rename_variables,[],[4114])).
% 182.50/182.15 cnf(12379,plain,
% 182.50/182.15 (P24(x123791,x123791,f5(x123791),x123792)),
% 182.50/182.15 inference(rename_variables,[],[3663])).
% 182.50/182.15 cnf(12384,plain,
% 182.50/182.15 (P1(f318(f318(f320(f905(x123841,a894)),x123842),f318(f299(x123841),x123842)))),
% 182.50/182.15 inference(rename_variables,[],[3787])).
% 182.50/182.15 cnf(12391,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x123911),x123911))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12405,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x124051),x124051))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12408,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x124081),x124081))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12411,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x124111),x124111))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12414,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),x124141),x124141))),
% 182.50/182.15 inference(rename_variables,[],[3431])).
% 182.50/182.15 cnf(12417,plain,
% 182.50/182.15 (P1(f318(f318(f227(a898),x124171),f318(a103,x124171)))),
% 182.50/182.15 inference(rename_variables,[],[3496])).
% 182.50/182.15 cnf(12423,plain,
% 182.50/182.15 (P1(f318(f318(f278(a898),x124231),x124231))),
% 182.50/182.15 inference(rename_variables,[],[3433])).
% 182.50/182.15 cnf(12433,plain,
% 182.50/182.15 (P1(f318(f318(f320(f905(x124331,a894)),x124332),f318(f299(x124331),x124332)))),
% 182.50/182.15 inference(rename_variables,[],[3787])).
% 182.50/182.15 cnf(12449,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x124491,a894)),f318(f163(x124491),f167(x124491,x124492,x124493))),f318(f163(x124491),x124492)))),
% 182.50/182.15 inference(rename_variables,[],[4114])).
% 182.50/182.15 cnf(12461,plain,
% 182.50/182.15 (~P1(f318(f318(f227(a898),x124611),x124611))),
% 182.50/182.15 inference(rename_variables,[],[4606])).
% 182.50/182.15 cnf(12469,plain,
% 182.50/182.15 (P1(f318(f318(f226(a898),f2(a898)),x124691))),
% 182.50/182.15 inference(rename_variables,[],[3452])).
% 182.50/182.15 cnf(12481,plain,
% 182.50/182.15 (P24(x124811,x124811,f5(x124811),x124812)),
% 182.50/182.15 inference(rename_variables,[],[3663])).
% 182.50/182.15 cnf(12487,plain,
% 182.50/182.15 (P1(f318(f318(f320(f899(x124871)),f104(x124871)),f152(x124871,x124872)))),
% 182.50/182.15 inference(rename_variables,[],[3623])).
% 182.50/182.15 cnf(12490,plain,
% 182.50/182.15 (~P1(f318(f318(f179(f905(x124901,f905(x124902,a894))),x124903),x124904))),
% 182.50/182.15 inference(rename_variables,[],[4632])).
% 182.50/182.15 cnf(12502,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(f904(f899(x125021),f899(x125021)),a894)),f149(x125021,x125022)),f298(f899(x125021),f148(x125021,x125022))))),
% 182.50/182.15 inference(rename_variables,[],[4119])).
% 182.50/182.15 cnf(12508,plain,
% 182.50/182.15 (P1(f318(f318(f226(f905(x125081,a894)),f318(f301(x125082,x125081,x125083),f318(f302(x125082,x125081,x125083),x125084))),x125084))),
% 182.50/182.15 inference(rename_variables,[],[4294])).
% 182.50/182.15 cnf(12528,plain,
% 182.50/182.15 (P1(f318(f318(f320(f899(x125281)),f104(x125281)),f152(x125281,x125282)))),
% 182.50/182.15 inference(rename_variables,[],[3623])).
% 182.50/182.15 cnf(12536,plain,
% 182.50/182.15 (~P1(f318(f28(x125361),f233(f905(x125361,a894))))),
% 182.50/182.15 inference(scs_inference,[],[4633,3663,11318,12379,12481,3672,3679,3401,4592,4593,3300,3303,4573,10397,10407,10420,10431,10434,10538,10543,10546,10648,10783,11093,11288,11291,11310,11313,11512,11613,11620,11634,11680,11683,11716,11731,11794,11853,11869,12168,12193,12207,12236,12242,12336,3631,3351,4579,10632,10732,11198,3040,3042,3044,3049,3050,3053,3054,3056,3058,3061,3064,3066,3076,3079,3091,3092,3095,3099,3101,3108,3111,3118,3119,3120,3123,3125,3177,3178,3184,3188,3195,3201,3203,3211,3226,4571,3985,11900,3275,11610,3391,10469,10472,10567,10570,10889,11625,11628,11742,11781,11786,11895,3368,3377,3880,4184,3265,3625,3971,11656,3330,3261,3290,3284,3270,3271,3892,3310,3485,11043,11170,3361,4054,4586,10460,10629,3422,11982,4616,11224,11323,11565,11568,3532,3325,10530,10862,3326,3584,3243,3347,11646,4198,4056,11244,11379,11440,4635,11145,11392,11503,11529,11573,11579,4636,11277,11395,11506,4637,11398,4638,11458,4639,3346,3623,12487,12528,3786,4469,4470,4584,3722,3935,3981,3609,3863,3496,10551,10671,10749,10822,10825,10865,10968,11214,11830,12038,12084,12164,12229,12307,12342,12417,3873,11886,3415,3508,11715,3685,4610,10437,10440,10466,10592,10767,10976,10991,11103,11551,11649,11829,12055,12060,12283,12286,12363,4622,11758,11789,11826,11833,11866,3860,3632,4003,3458,3460,3434,4607,3288,4581,3616,4623,4191,11526,3745,3470,12005,12008,4613,10425,10428,10600,10695,10714,10721,10744,10752,10755,10772,10961,11201,11420,11709,11803,11951,12073,4160,4119,12157,12502,4066,10880,4114,11247,12376,12449,3787,11837,12167,12314,12384,12433,4148,3804,10595,10692,11250,11328,11413,11477,12335,4626,10994,11403,3431,10560,10658,10808,10872,10950,10997,11000,11031,11051,11087,11125,11164,11954,12000,12137,12192,12210,12213,12216,12219,12391,12405,12408,12411,12414,3432,10587,10643,10877,10971,11090,11734,12035,12041,12052,12143,12154,12173,12178,12222,12245,3433,12423,3504,12368,4606,10477,10506,11015,11054,11063,11914,11935,12111,12114,12117,12120,12206,12225,12228,12241,12295,12298,12301,12304,12461,3579,10737,10828,11098,11142,11382,11385,11466,11548,11719,11965,4618,11024,11134,11155,11158,11227,11230,11241,11344,11352,11366,11406,11425,11434,11474,11515,11520,11523,11542,11545,11582,11587,11590,11593,11596,11836,11979,12014,12289,12292,12326,12369,3489,10859,10892,10901,10904,10907,3528,3521,3939,3878,10509,11889,11917,4615,10457,10847,10850,11347,11363,11852,11905,11939,11966,12070,12099,12102,12105,12108,12362,3452,10895,11048,11118,11918,12069,12267,12469,3902,4239,4611,3913,3947,4598,4601,3407,3412,4600,4614,3408,4599,3735,4333,4628,10758,10761,4634,11233,11236,11428,11539,11556,4021,11599,11938,3868,11161,11167,11185,12189,12319,3719,11303,11431,3870,10898,11266,11437,11471,3580,3688,10811,10814,10910,11074,4631,11883,4632,10651,10764,12490,4294,11034,12508,4202,3901,3846,4629,10482,10485,10853,10856,11755,4630,11863,3871,10817,3872,4134,4646,4672,4727,4731,4755,4770,4777,4779,4815,4820,4849,4855,4941,4967,4968,4983,5009,5037,5038,5061,5062,5076,5080,5105,5111,5127,5131,5132,5133,5138,5139,5162,5187,5189,5190,5200,5205,5211,5247,5248,5256,5264,5268,5270,5284,5287,5293,5298,5299,5312,5318,5321,5322,5326,5354,5369,5378,5380,5381,5382,5385,5386,5387,5397,5399,5405,5406,5407,5413,5417,5418,5419,5427,5431,5432,5438,5451,5459,5472,5474,5482,5484,5485,5488,5492,5519,5533,5534,5549,5560,5582,5588,5612,5613,5616,5635,5643,5644,5649,5650,5660,5662,5675,5679,5688,5689,5691,5692,5708,5713,5722,5723,5734,5741,5755,5759,5762,5768,5769,5770,5773,5778,5814,5815,5818,5820,5822,5824,5825,5826,5828,5830,5832,5837,5844,5859,5873,5879,5880,5892,5903,5904,5911,5915,5917,5922,5930,5968,5983,5992,5995,6005,6009,6010,6011,6012,6013,6018,6023,6033,6039,6057,6061,6070,6099,6115,6141,6158,6159,6162,6176,6178,6180,6182,6197,6198,6201,6203,6206,6207,6224,6232,6233,6234,6236,6238,6275,6276,6282,6285,6291,6295,6330,6332,6334,6336,6346,6348,6351,6357,6359,6364,6367,6375,6381,6384,6386,6387,6394,6417,6418,6419,6420,6421,6423,6429,6434,6468,6469,6472,6473,6474,6476,6477,6478,6479,6486,6521,6522,6531,6552,6553,6578,6580,6592,6593,6599,6629,6631,6646,6687,6689,6690,6746,6769,6812,6827,6835,6844,6845,6846,6847,6867,6868,6875,6887,6890,6892,6893,6894,6896,6898,6912,6923,6924,6925,6938,6993,7005,7007,7030,7031,7067,7074,7110,7140,7196,7225,7282,7303,7310,7313,7373,7383,7446,7448,7462,7471,7472,7473,7490,7494,7496,7543,7553,7556,7570,7617,7620,7623,7667,7668,7686,7756,7774,7798,7822,7834,7848,7859,7870,7871,7898,7900,7902,7912,7950,7961,7986,8013,8046,8077,8110,8149,8165,8167,8183,8184,8251,8262,8327,8352,8371,8398,8399,8438,8439,8456,8496,8498,8500,8506,8522,8526,8541,8562,8570,8572,8582,8587,8591,8592,8593,8594,8595,8596,8615,8630,8631,8649,8650,8655,8656,8657,8658,8659,8677,8678,8679,8689,8702,8705,8716,8721,8723,8725,8726,8727,8734,8740,8748,8751,8768,8769,8778,8779,8787,8806,8819,8823,8844,8866,8867,8870,8871,8877,8886,8887,8910,8921,8931,8932,8933,8936,8959,8960,8971,9020,9026,9032,9034,9050,9053,9064,9065,9066,9077,9141,9172,9173,9174,9189,9206,9214,9215,9243,9244,9313,9348,9354,9364,9365,9366,9375,9405,9421,9425,9429,9451,9452,9479,9543,9548,9551,9588,9589,9590,9618,9619,9635,9656,9662,9674,9699,9720,9729,9730,9731,9732,9747,9749,9754,9784,9785,9791,9792,9836,9837,9848,9849,9873,9891,9893,9894,9902,9907,9914,9938,9972,9974,9978,10028,10062,10072,10074,10078,10079,10081,10090,10091,10111,10116,10209,10301,10302,10303,10304,10363,10381,2,8,9,4659,4660,4678,4720,4722,4723,4746,4748,4749,4759,4804,4806,4854,4984,4985,5002,5026,5083,5084,5090,5091,5093,5095,5104,5107,5108,5116,5129,5130,5136,5157,5158,5176,5181,5182,5183,5184,5188,5196,5199,5206,5261,5266,5267,5272,5278,5309,5319,5324,5334,5351,5353,5360,5361,5363,5374,5393,5395,5396,5403,5410,5411,5423,5424,5425,5426,5428,5429,5434,5435,5436,5437,5468,5469,5470,5478,5479,5480,5481,5525,5530,5532,5567,5569,5570,5572,5573,5575,5576,5578,5587,5592,5594,5595,5596,5598,5600,5601,5602,5603,5604,5605,5614,5624,5627,5638,5654,5655,5658,5668,5671,5672,5673,5700,5710,5725,5726,5735,5736,5738,5740,5745,5780,5785,5787,5846,5881,5882,5896,5902,5905,5906,5907,5908,5927,5931,5932,5941,5963,5997,6016,6017,6021,6022,6024,6047,6051,6054,6055,6056,6072,6083,6084,6117,6118,6122,6143,6146,6149,6166,6170,6171,6199,6202,6211,6220,6222,6231,6235,6243,6244,6245,6246,6278,6279,6296,6350,6388,6390,6391,6414,6415,6422,6426,6427,6430,6444,6460,6481,6482,6487,6498,6501,6514,6534,6540,6542,6557,6558,6561,6562,6564,6566,6567,6568,6570,6572,6579,6585,6586,6588,6589,6595,6597,6639,6645,6660,6664,6665,6666,6700,6705,6707,6712,6713,6723,6727,6741,6764,6765,6767,6768,6779,6784,6804,6807,6828,6848,6861,6862,6863,6869,6883,6902,6904,6906,6908,6913,6919,6921,6935,6940,6941,6978,6979,6980,6996,6997,6999,7000,7020,7022,7037,7065,7088,7099,7101,7103,7105,7106,7137,7138,7139,7143,7144,7151,7152,7154,7156,7178,7187,7188,7199,7209,7249,7259,7265,7272,7283,7288,7290,7297,7317,7334,7355,7357,7376,7431,7432,7433,7435,7437,7441,7442,7447,7511,7539,7554,7569,7600,7604,7626,7651,7669,7672,7673,7683,7703,7705,7707,7709,7710,7711,7712,7713,7764,7765,7797,7799,7800,7801,7807,7828,7845,7850,7856,7858,7866,7879,7880,7882,7903,7910,7931,7963,7999,8000,8001,8049,8055,8056,8079,8080,8097,8098,8099,8156,8157,8186,8216,8225,8239,8254,8283,8287,8293])).
% 182.50/182.15 cnf(13771,plain,
% 182.50/182.15 ($false),
% 182.50/182.15 inference(scs_inference,[],[3226,12536,3038,2,4755]),
% 182.50/182.15 ['proof']).
% 182.50/182.15 % SZS output end Proof
% 182.50/182.15 % Total time :161.960000s
%------------------------------------------------------------------------------