TSTP Solution File: ANA030-2 by Moca---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n020.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  : 600s
% DateTime : Thu Jul 14 19:15:44 EDT 2022

% Result   : Unsatisfiable 278.52s 278.23s
% Output   : Proof 278.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : moca.sh %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  8 05:55:29 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 278.52/278.23  % SZS status Unsatisfiable
% 278.52/278.23  % SZS output start Proof
% 278.52/278.23  The input problem is unsatisfiable because
% 278.52/278.23  
% 278.52/278.23  [1] the following set of Horn clauses is unsatisfiable:
% 278.52/278.23  
% 278.52/278.23  	c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(V_U), v_g(V_U), t_b), c_0, t_b), t_b), c_times(v_c, c_HOL_Oabs(v_h(V_U), t_b), t_b), t_b)
% 278.52/278.23  	c_lessequals(v_f(v_x(V_U)), c_plus(v_g(v_x(V_U)), c_times(V_U, c_HOL_Oabs(v_h(v_x(V_U)), t_b), t_b), t_b), t_b) ==> \bottom
% 278.52/278.23  	class_Ring__and__Field_Oordered__idom(t_b)
% 278.52/278.23  	class_OrderedGroup_Olordered__ab__group__abs(T_a) & c_lessequals(c_0, V_y, T_a) ==> c_HOL_Oabs(V_y, T_a) = V_y
% 278.52/278.23  	class_OrderedGroup_Oab__group__add(T_a) ==> c_plus(V_a, c_uminus(V_b, T_a), T_a) = c_minus(V_a, V_b, T_a)
% 278.52/278.23  	class_OrderedGroup_Opordered__ab__group__add(T_a) & c_lessequals(c_minus(V_a, V_b, T_a), V_c, T_a) ==> c_lessequals(V_a, c_plus(V_c, V_b, T_a), T_a)
% 278.52/278.23  	class_OrderedGroup_Oab__group__add(T_a) ==> c_minus(V_a, c_uminus(V_b, T_a), T_a) = c_plus(V_a, V_b, T_a)
% 278.52/278.23  	class_OrderedGroup_Oab__group__add(T_a) ==> c_uminus(c_plus(V_a, V_b, T_a), T_a) = c_plus(c_uminus(V_a, T_a), c_uminus(V_b, T_a), T_a)
% 278.52/278.23  	class_OrderedGroup_Oab__group__add(T_a) ==> c_uminus(c_minus(V_a, V_b, T_a), T_a) = c_minus(V_b, V_a, T_a)
% 278.52/278.23  	class_OrderedGroup_Oab__group__add(T_a) ==> c_uminus(c_uminus(V_y, T_a), T_a) = V_y
% 278.52/278.23  	class_Orderings_Olinorder(T_b) ==> c_lessequals(V_y, c_Orderings_Omax(V_x, V_y, T_b), T_b)
% 278.52/278.23  	class_Orderings_Olinorder(T_b) & c_lessequals(c_Orderings_Omax(V_x, V_y, T_b), V_z, T_b) ==> c_lessequals(V_x, V_z, T_b)
% 278.52/278.23  	class_OrderedGroup_Olordered__ab__group__abs(T) ==> class_OrderedGroup_Opordered__ab__group__add(T)
% 278.52/278.23  	class_Ring__and__Field_Oordered__idom(T) ==> class_Orderings_Olinorder(T)
% 278.52/278.23  	class_Ring__and__Field_Oordered__idom(T) ==> class_OrderedGroup_Oab__group__add(T)
% 278.52/278.23  	class_Ring__and__Field_Oordered__idom(T) ==> class_OrderedGroup_Olordered__ab__group__abs(T)
% 278.52/278.23  
% 278.52/278.23  This holds because
% 278.52/278.23  
% 278.52/278.23  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 278.52/278.23  
% 278.52/278.23  E:
% 278.52/278.23  	c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(V_U), v_g(V_U), t_b), c_0, t_b), t_b), c_times(v_c, c_HOL_Oabs(v_h(V_U), t_b), t_b), t_b) = true__
% 278.52/278.23  	class_Ring__and__Field_Oordered__idom(t_b) = true__
% 278.52/278.23  	f1(c_lessequals(v_f(v_x(V_U)), c_plus(v_g(v_x(V_U)), c_times(V_U, c_HOL_Oabs(v_h(v_x(V_U)), t_b), t_b), t_b), t_b)) = true__
% 278.52/278.23  	f1(true__) = false__
% 278.52/278.23  	f10(class_OrderedGroup_Oab__group__add(T_a), V_y, T_a) = V_y
% 278.52/278.23  	f10(true__, V_y, T_a) = c_uminus(c_uminus(V_y, T_a), T_a)
% 278.52/278.23  	f11(class_Orderings_Olinorder(T_b), V_y, V_x, T_b) = true__
% 278.52/278.23  	f11(true__, V_y, V_x, T_b) = c_lessequals(V_y, c_Orderings_Omax(V_x, V_y, T_b), T_b)
% 278.52/278.23  	f12(true__, V_x, V_z, T_b) = c_lessequals(V_x, V_z, T_b)
% 278.52/278.23  	f13(c_lessequals(c_Orderings_Omax(V_x, V_y, T_b), V_z, T_b), T_b, V_x, V_z) = true__
% 278.52/278.23  	f13(true__, T_b, V_x, V_z) = f12(class_Orderings_Olinorder(T_b), V_x, V_z, T_b)
% 278.52/278.23  	f14(class_OrderedGroup_Olordered__ab__group__abs(T), T) = true__
% 278.52/278.23  	f14(true__, T) = class_OrderedGroup_Opordered__ab__group__add(T)
% 278.52/278.23  	f15(class_Ring__and__Field_Oordered__idom(T), T) = true__
% 278.52/278.23  	f15(true__, T) = class_Orderings_Olinorder(T)
% 278.52/278.23  	f16(class_Ring__and__Field_Oordered__idom(T), T) = true__
% 278.52/278.23  	f16(true__, T) = class_OrderedGroup_Oab__group__add(T)
% 278.52/278.23  	f17(class_Ring__and__Field_Oordered__idom(T), T) = true__
% 278.52/278.23  	f17(true__, T) = class_OrderedGroup_Olordered__ab__group__abs(T)
% 278.52/278.23  	f2(true__, V_y, T_a) = c_HOL_Oabs(V_y, T_a)
% 278.52/278.23  	f3(c_lessequals(c_0, V_y, T_a), T_a, V_y) = V_y
% 278.52/278.23  	f3(true__, T_a, V_y) = f2(class_OrderedGroup_Olordered__ab__group__abs(T_a), V_y, T_a)
% 278.52/278.23  	f4(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) = c_minus(V_a, V_b, T_a)
% 278.52/278.23  	f4(true__, V_a, V_b, T_a) = c_plus(V_a, c_uminus(V_b, T_a), T_a)
% 278.52/278.23  	f5(true__, V_a, V_c, V_b, T_a) = c_lessequals(V_a, c_plus(V_c, V_b, T_a), T_a)
% 278.52/278.23  	f6(c_lessequals(c_minus(V_a, V_b, T_a), V_c, T_a), T_a, V_a, V_c, V_b) = true__
% 278.52/278.23  	f6(true__, T_a, V_a, V_c, V_b) = f5(class_OrderedGroup_Opordered__ab__group__add(T_a), V_a, V_c, V_b, T_a)
% 278.52/278.23  	f7(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) = c_plus(V_a, V_b, T_a)
% 278.52/278.23  	f7(true__, V_a, V_b, T_a) = c_minus(V_a, c_uminus(V_b, T_a), T_a)
% 278.52/278.23  	f8(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) = c_plus(c_uminus(V_a, T_a), c_uminus(V_b, T_a), T_a)
% 278.52/278.23  	f8(true__, V_a, V_b, T_a) = c_uminus(c_plus(V_a, V_b, T_a), T_a)
% 278.52/278.23  	f9(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) = c_minus(V_b, V_a, T_a)
% 278.52/278.23  	f9(true__, V_a, V_b, T_a) = c_uminus(c_minus(V_a, V_b, T_a), T_a)
% 278.52/278.23  G:
% 278.52/278.23  	true__ = false__
% 278.52/278.23  
% 278.52/278.23  This holds because
% 278.52/278.23  
% 278.52/278.23  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 278.52/278.23  
% 278.52/278.23  	f9(true__, Y0, X0, t_b) = f9(true__, c_uminus(X0, t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, X0, X1, t_b), t_b) = f9(true__, f9(true__, X1, X0, t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, X0, X1, t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, X1, X0, t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, f9(true__, X1, X2, t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), c_uminus(X0, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y0, f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, X1, X2, t_b), c_uminus(X0, t_b), t_b), c_uminus(Y0, t_b), t_b)
% 278.52/278.23  	f9(true__, Y1, c_uminus(Y2, t_b), t_b) = f9(true__, Y2, c_uminus(Y1, t_b), t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), X1, t_b) = f9(true__, c_uminus(X1, t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_uminus(Y1, t_b), t_b), t_b) = f9(true__, f9(true__, c_uminus(X1, t_b), Y1, t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, Y1, X0, t_b), t_b) = f9(true__, f9(true__, c_uminus(Y1, t_b), c_uminus(X0, t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), t_b) = f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y2, t_b), f9(true__, X0, X1, t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y2, t_b), f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), t_b) = f9(true__, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, X0, X1, t_b), Y2, t_b), t_b) = f9(true__, f9(true__, f9(true__, X1, X0, t_b), c_uminus(Y2, t_b), t_b), Y0, t_b)
% 278.52/278.23  	f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, X1, X2, t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), Y0, t_b)
% 278.52/278.24  	f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), c_uminus(X0, t_b), t_b), Y0, t_b)
% 278.52/278.24  	f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), Y0, t_b)
% 278.52/278.24  	f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), X0, t_b), t_b) = f9(true__, f9(true__, f9(true__, X1, X2, t_b), c_uminus(X0, t_b), t_b), Y0, t_b)
% 278.52/278.24  	f9(true__, f9(true__, X0, X1, t_b), f9(true__, Y1, Y2, t_b), t_b) = f9(true__, f9(true__, c_uminus(Y1, t_b), c_uminus(Y2, t_b), t_b), f9(true__, X1, X0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, X0, X1, t_b), f9(true__, Y1, c_uminus(Y2, t_b), t_b), t_b) = f9(true__, f9(true__, c_uminus(Y1, t_b), Y2, t_b), f9(true__, X1, X0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, X0, X1, t_b), f9(true__, c_uminus(Y1, t_b), Y2, t_b), t_b) = f9(true__, f9(true__, Y1, c_uminus(Y2, t_b), t_b), f9(true__, X1, X0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, X0, X1, t_b), f9(true__, c_uminus(Y1, t_b), c_uminus(Y2, t_b), t_b), t_b) = f9(true__, f9(true__, Y1, Y2, t_b), f9(true__, X1, X0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, X1, c_uminus(Y0, t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X1, t_b), Y0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, Y0, X0, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(Y0, t_b), c_uminus(X0, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, Y0, Y1, t_b), X0, t_b) = f9(true__, c_uminus(X0, t_b), f9(true__, Y1, Y0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, Y0, Y1, t_b), f9(true__, X0, X1, t_b), t_b) = f9(true__, f9(true__, X1, X0, t_b), f9(true__, Y1, Y0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, Y0, f9(true__, X0, X1, t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(Y0, t_b), f9(true__, X1, X0, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X0, X1, t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, Y1, f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, Y1, f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X0, t_b), X1, t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, Y1, f9(true__, X0, c_uminus(X1, t_b), t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X0, t_b), c_uminus(X1, t_b), t_b), t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, X0, X1, t_b), Y1, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, f9(true__, X1, X0, t_b), c_uminus(Y1, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, X1, X2, t_b), X0, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), X0, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), c_uminus(X0, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, X2, X1, t_b), c_uminus(Y0, t_b), t_b), c_uminus(Y2, t_b), t_b) = f9(true__, Y2, f9(true__, f9(true__, X1, X2, t_b), Y0, t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), X2, t_b), X0, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, f9(true__, X1, c_uminus(X2, t_b), t_b), c_uminus(X0, t_b), t_b), t_b)
% 278.52/278.24  	f9(true__, f9(true__, f9(true__, c_uminus(X1, t_b), c_uminus(X2, t_b), t_b), X0, t_b), Y2, t_b) = f9(true__, c_uminus(Y2, t_b), f9(true__, f9(true__, X1, X2, t_b), c_uminus(X0, t_b), t_b), t_b)
% 278.52/278.24  	c_HOL_Oabs(V_y, T_a) -> f2(true__, V_y, T_a)
% 278.52/278.24  	c_lessequals(V_x, V_z, T_b) -> f12(true__, V_x, V_z, T_b)
% 278.52/278.24  	c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(V_U), v_g(V_U), t_b), c_0, t_b), t_b), c_times(v_c, c_HOL_Oabs(v_h(V_U), t_b), t_b), t_b) -> true__
% 278.52/278.24  	c_minus(V_b, V_a, T_a) -> f9(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a)
% 278.52/278.24  	c_plus(V_a, V_b, T_a) -> f7(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a)
% 278.52/278.24  	c_uminus(c_minus(V_a, V_b, T_a), T_a) -> f9(true__, V_a, V_b, T_a)
% 278.52/278.24  	c_uminus(c_uminus(Y1, t_b), t_b) -> Y1
% 278.52/278.24  	c_uminus(f9(f16(true__, Y2), Y1, Y0, Y2), Y2) -> f9(true__, Y0, Y1, Y2)
% 278.52/278.24  	c_uminus(f9(true__, X0, X1, t_b), t_b) -> f9(true__, X1, X0, t_b)
% 278.52/278.24  	class_OrderedGroup_Oab__group__add(T) -> f16(true__, T)
% 278.52/278.24  	class_OrderedGroup_Olordered__ab__group__abs(T) -> f17(true__, T)
% 278.52/278.24  	class_OrderedGroup_Opordered__ab__group__add(T) -> f14(true__, T)
% 278.52/278.24  	class_Orderings_Olinorder(T) -> f15(true__, T)
% 278.52/278.24  	class_Ring__and__Field_Oordered__idom(t_b) -> true__
% 278.52/278.24  	f1(c_lessequals(v_f(v_x(V_U)), c_plus(v_g(v_x(V_U)), c_times(V_U, c_HOL_Oabs(v_h(v_x(V_U)), t_b), t_b), t_b), t_b)) -> true__
% 278.52/278.24  	f1(f12(true__, v_f(v_x(Y0)), f9(true__, c_uminus(c_times(Y0, f2(true__, v_h(v_x(Y0)), t_b), t_b), t_b), v_g(v_x(Y0)), t_b), t_b)) -> true__
% 278.52/278.24  	f1(true__) -> false__
% 278.52/278.24  	f10(class_OrderedGroup_Oab__group__add(T_a), V_y, T_a) -> V_y
% 278.52/278.24  	f10(f16(true__, Y0), Y1, Y0) -> Y1
% 278.52/278.24  	f10(true__, V_y, T_a) -> c_uminus(c_uminus(V_y, T_a), T_a)
% 278.52/278.24  	f11(class_Orderings_Olinorder(T_b), V_y, V_x, T_b) -> true__
% 278.52/278.24  	f11(f15(true__, Y0), Y1, Y2, Y0) -> true__
% 278.52/278.24  	f11(true__, V_y, V_x, T_b) -> c_lessequals(V_y, c_Orderings_Omax(V_x, V_y, T_b), T_b)
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(Y0, Y1, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), X3, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), X7, t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X0, t_b), Y0, t_b), Y3, t_b), Y4, t_b), Y5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X0, t_b), Y0, t_b), Y3, t_b), Y4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, c_uminus(X0, t_b), Y0, t_b), Y3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, f9(true__, c_uminus(X0, t_b), Y0, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, f9(true__, c_uminus(X0, t_b), c_Orderings_Omax(c_Orderings_Omax(Y0, Y3, t_b), Y4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, c_Orderings_Omax(Y2, f9(true__, c_uminus(X0, t_b), c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y3, t_b), Y4, t_b), Y5, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, c_uminus(Y2, t_b), f9(true__, c_uminus(X0, t_b), Y0, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, f9(true__, Y0, c_uminus(X0, t_b), t_b), Y2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X0, f9(true__, c_uminus(Y2, t_b), c_Orderings_Omax(Y3, f9(true__, Y2, f9(true__, c_uminus(X0, t_b), Y0, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(Y0, Y1, t_b), t_b), X1, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(Y0, Y1, t_b), t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(Y0, Y1, t_b), t_b), X1, t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), t_b), X1, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(Y0, Y1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(Y0, Y1, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), X4, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, X1, c_uminus(c_Orderings_Omax(Y0, Y1, t_b), t_b), t_b), X2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_Orderings_Omax(Y0, Y1, t_b), c_uminus(X1, t_b), t_b), X2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X2, t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, c_Orderings_Omax(X1, f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, Y1, c_uminus(Y0, t_b), t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, f9(true__, Y1, c_uminus(Y0, t_b), t_b), X1, t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X3, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, f9(true__, Y1, c_uminus(Y0, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(f9(true__, c_uminus(Y0, t_b), Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, Y1, f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), f9(true__, c_uminus(Y0, t_b), Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(Y0, Y1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_Orderings_Omax(Y0, Y1, t_b), X1, t_b), X2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), Y0, t_b), Y3, t_b), Y4, t_b), Y5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), Y0, t_b), Y3, t_b), Y4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(Y0, Y3, t_b), t_b), Y4, t_b), Y5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), Y0, t_b), Y3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(Y0, Y3, t_b), t_b), Y4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(c_Orderings_Omax(Y0, Y3, t_b), Y4, t_b), t_b), Y5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, f9(true__, f9(true__, X1, X0, t_b), Y0, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(Y0, Y3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(c_Orderings_Omax(Y0, Y3, t_b), Y4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), c_Orderings_Omax(Y2, f9(true__, f9(true__, X1, X0, t_b), c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(Y0, Y3, t_b), Y4, t_b), Y5, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, X0, X1, t_b), f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, f9(true__, Y0, f9(true__, X1, X0, t_b), t_b), Y2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), c_Orderings_Omax(Y3, f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b), Y0, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y0, f9(true__, f9(true__, c_uminus(Y2, t_b), f9(true__, X1, X0, t_b), t_b), c_Orderings_Omax(Y3, f9(true__, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b), Y0, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, c_Orderings_Omax(Y2, Y1, t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X1, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), X4, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, X1, f9(true__, Y1, Y0, t_b), t_b), X2, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.24  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, f9(true__, Y0, Y1, t_b), X1, t_b), X2, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, Y1, f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, Y2, f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, f9(true__, Y1, Y2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_Orderings_Omax(f9(true__, v_g(Y0), v_f(Y0), t_b), c_0, t_b), c_times(v_c, f2(true__, v_h(Y0), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(X0, t_b), f9(true__, Y1, c_Orderings_Omax(Y2, f9(true__, X0, Y1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, X0, c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, Y0, X0, t_b), Y3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X2, t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, f9(true__, Y1, Y0, t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, Y1, t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), f9(true__, Y0, Y1, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X2, t_b), X3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), c_Orderings_Omax(X1, f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, c_uminus(Y1, t_b), Y0, t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), X1, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, f9(true__, c_uminus(Y1, t_b), Y0, t_b), X1, t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, X1, c_Orderings_Omax(X2, f9(true__, f9(true__, c_uminus(Y1, t_b), Y0, t_b), X1, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), X4, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(f9(true__, Y0, c_uminus(Y1, t_b), t_b), X3, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y1, t_b), f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), f9(true__, Y0, c_uminus(Y1, t_b), t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, c_uminus(v_g(X0), t_b), f9(true__, v_f(X0), c_times(v_c, f2(true__, v_h(X0), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f2(true__, c_Orderings_Omax(f9(true__, v_g(Y0), v_f(Y0), t_b), c_0, t_b), t_b), c_times(v_c, f2(true__, v_h(Y0), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, X0, X1, t_b), f9(true__, Y1, c_Orderings_Omax(Y2, c_Orderings_Omax(f9(true__, f9(true__, X1, X0, t_b), Y1, t_b), Y3, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, X1, X0, t_b), f9(true__, Y1, c_Orderings_Omax(Y2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, X0, X1, t_b), Y1, t_b), Y3, t_b), Y4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, X1, X0, t_b), f9(true__, Y1, c_Orderings_Omax(Y2, f9(true__, f9(true__, X0, X1, t_b), Y1, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, X1, X0, t_b), f9(true__, Y1, f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), Y2, t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, Y0, f9(true__, X0, X1, t_b), t_b), f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, X0, t_b), t_b), Y2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, Y1, Y0, t_b), f9(true__, Y2, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, f9(true__, Y0, Y1, t_b), Y2, t_b), X2, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, Y1, Y0, t_b), f9(true__, Y2, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), f9(true__, f9(true__, Y0, Y1, t_b), Y2, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, Y1, Y0, t_b), f9(true__, Y2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, f9(true__, f9(true__, Y0, Y1, t_b), Y2, t_b), t_b), t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b), f9(true__, Y2, c_Orderings_Omax(Y3, f9(true__, f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), Y2, t_b), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, f9(true__, v_g(X0), v_f(X0), t_b), c_times(v_c, f2(true__, v_h(X0), t_b), t_b), t_b) -> true__
% 278.52/278.25  	f12(true__, v_f(X0), f9(true__, c_uminus(c_times(v_c, f2(true__, v_h(X0), t_b), t_b), t_b), v_g(X0), t_b), t_b) -> true__
% 278.52/278.25  	f13(c_lessequals(c_Orderings_Omax(V_x, V_y, T_b), V_z, T_b), T_b, V_x, V_z) -> true__
% 278.52/278.25  	f13(f12(true__, c_Orderings_Omax(Y0, Y1, Y2), Y3, Y2), Y2, Y0, Y3) -> true__
% 278.52/278.25  	f13(true__, T_b, V_x, V_z) -> f12(class_Orderings_Olinorder(T_b), V_x, V_z, T_b)
% 278.52/278.25  	f14(class_OrderedGroup_Olordered__ab__group__abs(T), T) -> true__
% 278.52/278.25  	f14(f17(true__, Y0), Y0) -> true__
% 278.52/278.25  	f14(true__, t_b) -> true__
% 278.52/278.25  	f15(class_Ring__and__Field_Oordered__idom(T), T) -> true__
% 278.52/278.25  	f15(true__, t_b) -> true__
% 278.52/278.25  	f16(class_Ring__and__Field_Oordered__idom(T), T) -> true__
% 278.52/278.25  	f16(true__, t_b) -> true__
% 278.52/278.25  	f17(class_Ring__and__Field_Oordered__idom(T), T) -> true__
% 278.52/278.25  	f17(true__, t_b) -> true__
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_0, t_b), t_b) -> c_Orderings_Omax(X1, c_0, t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_0, X2, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_0, X2, t_b), t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), t_b)
% 278.52/278.25  	f2(true__, c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), X7, t_b), t_b), t_b) -> c_Orderings_Omax(X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X2, t_b), X3, t_b), X4, t_b), X5, t_b), X6, t_b), X7, t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_0, t_b), X3, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_0, t_b), X1, t_b), X3, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X1, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X1, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_0, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_0, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_0, X3, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_0, X3, t_b), t_b), X1, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X1, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), X1, t_b), t_b), t_b), t_b) -> f9(true__, X1, c_Orderings_Omax(X2, f9(true__, c_uminus(c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), X1, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, c_uminus(X2, t_b), f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, c_uminus(X2, t_b), f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, X1, c_uminus(c_0, t_b), t_b), X2, t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, X1, c_uminus(c_0, t_b), t_b), X2, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_0, c_uminus(X1, t_b), t_b), X2, t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_0, c_uminus(X1, t_b), t_b), X2, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, X1, f9(true__, c_uminus(X2, t_b), c_Orderings_Omax(X3, f9(true__, X2, f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b), t_b), t_b), t_b) -> f9(true__, X1, f9(true__, c_uminus(X2, t_b), c_Orderings_Omax(X3, f9(true__, X2, f9(true__, c_uminus(c_0, t_b), X1, t_b), t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_0, t_b), X3, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X5, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, c_Orderings_Omax(f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), X5, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_0, t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_0, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_0, X3, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), c_Orderings_Omax(X2, f9(true__, X1, c_Orderings_Omax(c_Orderings_Omax(c_Orderings_Omax(c_0, X3, t_b), X4, t_b), X5, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, c_uminus(X2, t_b), f9(true__, X1, c_0, t_b), t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, c_uminus(X2, t_b), f9(true__, X1, c_0, t_b), t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_0, X1, t_b), X2, t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), f9(true__, X2, c_Orderings_Omax(X3, f9(true__, f9(true__, c_0, X1, t_b), X2, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, c_uminus(X1, t_b), f9(true__, c_uminus(X2, t_b), c_Orderings_Omax(X3, f9(true__, X2, f9(true__, X1, c_0, t_b), t_b), t_b), t_b), t_b), t_b) -> f9(true__, c_uminus(X1, t_b), f9(true__, c_uminus(X2, t_b), c_Orderings_Omax(X3, f9(true__, X2, f9(true__, X1, c_0, t_b), t_b), t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, c_Orderings_Omax(f9(true__, f9(true__, X2, X1, t_b), c_0, t_b), X4, t_b), t_b), t_b), t_b) -> f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, c_Orderings_Omax(f9(true__, f9(true__, X2, X1, t_b), c_0, t_b), X4, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), c_0, t_b), t_b), t_b), t_b) -> f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), c_0, t_b), t_b), t_b)
% 278.52/278.25  	f2(true__, f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), c_Orderings_Omax(c_0, X4, t_b), t_b), t_b), t_b), t_b) -> f9(true__, f9(true__, X1, X2, t_b), c_Orderings_Omax(X3, f9(true__, f9(true__, X2, X1, t_b), c_Orderings_Omax(c_0, X4, t_b), t_b), t_b), t_b)
% 278.52/278.25  	f3(c_lessequals(c_0, V_y, T_a), T_a, V_y) -> V_y
% 278.52/278.25  	f3(f12(true__, c_0, Y0, Y1), Y1, Y0) -> Y0
% 278.52/278.25  	f3(true__, T_a, V_y) -> f2(class_OrderedGroup_Olordered__ab__group__abs(T_a), V_y, T_a)
% 278.52/278.25  	f4(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) -> c_minus(V_a, V_b, T_a)
% 278.52/278.25  	f4(f16(true__, Y0), Y1, Y2, Y0) -> f9(f16(true__, Y0), Y2, Y1, Y0)
% 278.52/278.25  	f4(true__, V_a, V_b, T_a) -> c_plus(V_a, c_uminus(V_b, T_a), T_a)
% 278.52/278.25  	f5(true__, V_a, V_c, V_b, T_a) -> c_lessequals(V_a, c_plus(V_c, V_b, T_a), T_a)
% 278.52/278.25  	f6(c_lessequals(c_minus(V_a, V_b, T_a), V_c, T_a), T_a, V_a, V_c, V_b) -> true__
% 278.52/278.25  	f6(f12(true__, f9(f16(true__, Y2), Y1, Y0, Y2), Y3, Y2), Y2, Y0, Y3, Y1) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, X1, c_uminus(Y0, t_b), t_b), Y2, t_b), t_b, c_uminus(X1, t_b), Y2, Y0) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, Y0, X0, t_b), Y2, t_b), t_b, c_uminus(Y0, t_b), Y2, c_uminus(X0, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, Y0, f9(true__, X0, X1, t_b), t_b), Y2, t_b), t_b, c_uminus(Y0, t_b), Y2, f9(true__, X1, X0, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, Y0, f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), t_b), Y3, t_b), t_b, c_uminus(Y0, t_b), Y3, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, Y0, f9(true__, c_uminus(Y2, t_b), f9(true__, X1, X0, t_b), t_b), t_b), Y3, t_b), t_b, c_uminus(Y0, t_b), Y3, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, Y1, Y2, t_b), Y3, t_b), t_b, Y2, Y3, Y1) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, c_uminus(X0, t_b), f9(true__, Y1, Y2, t_b), t_b), Y3, t_b), t_b, X0, Y3, f9(true__, Y2, Y1, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, c_uminus(Y0, t_b), f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), t_b), Y3, t_b), t_b, Y0, Y3, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, c_uminus(Y0, t_b), f9(true__, c_uminus(Y2, t_b), f9(true__, X1, X0, t_b), t_b), t_b), Y3, t_b), t_b, Y0, Y3, f9(true__, Y2, f9(true__, X0, X1, t_b), t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, c_uminus(Y0, t_b), f9(true__, f9(true__, X2, X1, t_b), c_uminus(Y1, t_b), t_b), t_b), Y3, t_b), t_b, Y0, Y3, f9(true__, f9(true__, X1, X2, t_b), Y1, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, c_uminus(Y1, t_b), X0, t_b), Y2, t_b), t_b, Y1, Y2, c_uminus(X0, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, f9(true__, X0, X1, t_b), Y1, t_b), Y2, t_b), t_b, f9(true__, X1, X0, t_b), Y2, c_uminus(Y1, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, f9(true__, X1, X0, t_b), f9(true__, Y1, Y2, t_b), t_b), Y3, t_b), t_b, f9(true__, X0, X1, t_b), Y3, f9(true__, Y2, Y1, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, f9(true__, Y0, f9(true__, X0, X1, t_b), t_b), Y2, t_b), Y3, t_b), t_b, f9(true__, c_uminus(Y0, t_b), f9(true__, X1, X0, t_b), t_b), Y3, c_uminus(Y2, t_b)) -> true__
% 278.52/278.25  	f6(f12(true__, f9(true__, f9(true__, c_uminus(Y1, t_b), f9(true__, X1, X0, t_b), t_b), Y2, t_b), Y3, t_b), t_b, f9(true__, Y1, f9(true__, X0, X1, t_b), t_b), Y3, c_uminus(Y2, t_b)) -> true__
% 278.52/278.25  	f6(true__, T_a, V_a, V_c, V_b) -> f5(class_OrderedGroup_Opordered__ab__group__add(T_a), V_a, V_c, V_b, T_a)
% 278.52/278.25  	f7(true__, V_a, V_b, T_a) -> c_minus(V_a, c_uminus(V_b, T_a), T_a)
% 278.52/278.25  	f8(class_OrderedGroup_Oab__group__add(T_a), V_a, V_b, T_a) -> c_plus(c_uminus(V_a, T_a), c_uminus(V_b, T_a), T_a)
% 278.52/278.25  	f8(f16(true__, Y0), Y1, Y2, Y0) -> f7(f16(true__, Y0), c_uminus(Y1, Y0), c_uminus(Y2, Y0), Y0)
% 278.52/278.25  	f8(true__, V_a, V_b, T_a) -> c_uminus(c_plus(V_a, V_b, T_a), T_a)
% 278.52/278.25  	false__ -> true__
% 278.52/278.25  with the LPO induced by
% 278.52/278.25  	v_g > f10 > t_b > f4 > f8 > f6 > f5 > c_plus > f7 > c_uminus > c_minus > f9 > class_OrderedGroup_Oab__group__add > f16 > class_OrderedGroup_Opordered__ab__group__add > f13 > class_Orderings_Olinorder > f11 > c_lessequals > f3 > class_OrderedGroup_Olordered__ab__group__abs > f17 > f15 > f14 > f12 > v_f > v_c > c_times > c_Orderings_Omax > f1 > class_Ring__and__Field_Oordered__idom > v_x > c_HOL_Oabs > f2 > v_h > c_0 > false__ > true__
% 278.52/278.25  
% 278.52/278.25  % SZS output end Proof
% 278.52/278.25  
%------------------------------------------------------------------------------