SOS---2.0.UNK-Non.f

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SCT167+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n008.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 : Mon Jul 18 22:12:25 EDT 2022

% Result   : Unknown 0.38s 0.60s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SCT167+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14  % Command  : sos-script %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  2 00:13:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.50  ----- Otter 3.2, August 2001 -----
% 0.22/0.50  The process was started by sandbox2 on n008.cluster.edu,
% 0.22/0.50  Sat Jul  2 00:13:53 2022
% 0.22/0.50  The command was "./sos".  The process ID is 25104.
% 0.22/0.50  
% 0.22/0.50  set(prolog_style_variables).
% 0.22/0.50  set(auto).
% 0.22/0.50     dependent: set(auto1).
% 0.22/0.50     dependent: set(process_input).
% 0.22/0.50     dependent: clear(print_kept).
% 0.22/0.50     dependent: clear(print_new_demod).
% 0.22/0.50     dependent: clear(print_back_demod).
% 0.22/0.50     dependent: clear(print_back_sub).
% 0.22/0.50     dependent: set(control_memory).
% 0.22/0.50     dependent: assign(max_mem, 12000).
% 0.22/0.50     dependent: assign(pick_given_ratio, 4).
% 0.22/0.50     dependent: assign(stats_level, 1).
% 0.22/0.50     dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.50     dependent: assign(sos_limit, 5000).
% 0.22/0.50     dependent: assign(max_weight, 60).
% 0.22/0.50  clear(print_given).
% 0.22/0.50  
% 0.22/0.50  formula_list(usable).
% 0.22/0.50  
% 0.22/0.50  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 0.22/0.50  
% 0.22/0.50  This ia a non-Horn set with equality.  The strategy will be
% 0.22/0.50  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.50  unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.50  clauses in usable.
% 0.22/0.50  
% 0.22/0.50     dependent: set(knuth_bendix).
% 0.22/0.50     dependent: set(para_from).
% 0.22/0.50     dependent: set(para_into).
% 0.22/0.50     dependent: clear(para_from_right).
% 0.22/0.50     dependent: clear(para_into_right).
% 0.22/0.50     dependent: set(para_from_vars).
% 0.22/0.50     dependent: set(eq_units_both_ways).
% 0.22/0.50     dependent: set(dynamic_demod_all).
% 0.22/0.50     dependent: set(dynamic_demod).
% 0.22/0.50     dependent: set(order_eq).
% 0.22/0.50     dependent: set(back_demod).
% 0.22/0.50     dependent: set(lrpo).
% 0.22/0.50     dependent: set(hyper_res).
% 0.22/0.50     dependent: set(unit_deletion).
% 0.22/0.50     dependent: set(factor).
% 0.22/0.50  
% 0.22/0.50  ------------> process usable:
% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____)).
% 0.22/0.50    Following clause subsumed by 12 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____)))),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,$c1)),v_e____)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,$c1)),v_n____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(v_F,c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____))))))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(v_F,hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)))).
% 0.22/0.50    Following clause subsumed by 12 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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-hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,$c1)),v_e____)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,$c1)),v_n____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(v_F,c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____))))))| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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-hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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-hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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-hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| 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-hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lba____))| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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-hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____))),v_Lab____)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf))| 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-hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lba____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(v_F,c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____))))))| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| 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% 0.22/0.50    Following clause subsumed by 7 during input processing: 0 [unit_del,3] {-} v_e____=v_d____| -hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____)))),c_Arrow__Order__Mirabelle_OProf))| 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-hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lab____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),v_Lba____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_e____),v_d____)),hAPP(v_F,c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Oord__class_Oless(tc_Nat_Onat)),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omktop),v_P____)),v_e____)),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_COMBS(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_If(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Nat_Onat,tc_HOL_Obool),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_fequal),v_h____)),v_n____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Oabove),v_P____)),v_c____)),v_e____)),hAPP(hAPP(c_COMBC(tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_Omkbot),v_P____)),v_e____))))))| 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% 0.22/0.50    Following clause subsumed by 6 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v_n____),c_Groups_Oone__class_Oone(tc_Nat_Onat))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.50    Following clause subsumed by 6 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lab____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.50    Following clause subsumed by 6 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hAPP(v_h____,A)!=v_n____|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v_n____),c_Groups_Oone__class_Oone(tc_Nat_Onat))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.50    Following clause subsumed by 6 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hAPP(v_h____,A)!=v_n____|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lab____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.51    Following clause subsumed by 6 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hAPP(v_h____,A)=v_n____|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v_n____),c_Groups_Oone__class_Oone(tc_Nat_Onat))))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.51    Following clause subsumed by 6 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(v_h____,A)),v_n____))|hAPP(v_h____,A)=v_n____|hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_c____),v_e____)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lab____))| -hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),v_Lba____)).
% 0.22/0.51    Following clause subsumed by 104 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),A),D))| -hBOOL(hAPP(hAPP(c_member(C),B),D)).
% 0.22/0.51    Following clause subsumed by 91 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_member(C),D),A))|hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.22/0.51    Following clause subsumed by 90 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_member(C),D),A))| -hBOOL(hAPP(hAPP(c_member(C),D),B)).
% 0.22/0.51    Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.22/0.51    Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),D))|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.22/0.51    Following clause subsumed by 134 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_member(A),D),B))|hBOOL(hAPP(hAPP(c_member(A),D),C)).
% 0.22/0.51    Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|B=C.
% 0.22/0.51    Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.22/0.51    Following clause subsumed by 147 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.22/0.51    Following clause subsumed by 149 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.22/0.51    Following clause subsumed by 146 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.22/0.51    Following clause subsumed by 147 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.22/0.51    Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|B=C.
% 0.22/0.51    Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|C=B.
% 0.22/0.51    Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B))|C!=B.
% 0.22/0.51    Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 167 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 166 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 167 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 167 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 176 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 0.22/0.51    Following clause subsumed by 178 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 0.22/0.51    Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 201 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 166 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 203 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 0.22/0.51    Following clause subsumed by 202 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.22/0.51    Following clause subsumed by 157 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.22/0.51    Following clause subsumed by 200 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 203 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.22/0.51    Following clause subsumed by 201 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),B)).
% 0.22/0.51    Following clause subsumed by 204 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.22/0.51    Following clause subsumed by 207 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 0.22/0.51    Following clause subsumed by 162 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 203 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))|B=C.
% 0.22/0.51    Following clause subsumed by 203 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.22/0.51    Following clause subsumed by 209 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|C=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C)).
% 0.22/0.51    Following clause subsumed by 214 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.22/0.51    Following clause subsumed by 215 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.22/0.51    Following clause subsumed by 221 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),D)).
% 0.22/0.51    Following clause subsumed by 223 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),C),D)).
% 0.22/0.51    Following clause subsumed by 251 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.22/0.51    Following clause subsumed by 254 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|B=C.
% 0.22/0.51    Following clause subsumed by 252 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C)).
% 0.22/0.51    Following clause subsumed by 258 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))|B!=C.
% 0.22/0.51    Following clause subsumed by 258 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.22/0.51    Following clause subsumed by 259 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.22/0.51    Following clause subsumed by 252 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool)),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C)).
% 0.22/0.51    Following clause subsumed by 260 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -hBOOL(hAPP(B,D))|hBOOL(hAPP(C,D)).
% 0.22/0.51    Following clause subsumed by 258 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A),B)).
% 0.22/0.51    Following clause subsumed by 259 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B),A)).
% 0.22/0.51    Following clause subsumed by 265 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(D,tc_fun(E,tc_HOL_Obool)),A),F))|hBOOL(hAPP(hAPP(F,B),C)).
% 0.22/0.51    Following clause subsumed by 266 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|hAPP(C,E)!=hAPP(C,F)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|E=F.
% 0.22/0.51    Following clause subsumed by 266 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F)|E=F.
% 0.22/0.51    Following clause subsumed by 266 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,D)|E=F| -hBOOL(hAPP(hAPP(c_member(A),E),D))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hAPP(C,E)!=hAPP(C,F).
% 0.22/0.51    Following clause subsumed by 270 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|hAPP(C,D)!=hAPP(C,E)|D=E.
% 0.22/0.51    Following clause subsumed by 272 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(tc_fun(A,B)),C),c_FuncSet_OPi(A,B,D,E)))| -hBOOL(hAPP(hAPP(c_member(A),F),D))|hBOOL(hAPP(hAPP(c_member(B),hAPP(C,F)),hAPP(E,F))).
% 0.22/0.51    Following clause subsumed by 282 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.22/0.51    Following clause subsumed by 283 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.22/0.51    Following clause subsumed by 286 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.51    Following clause subsumed by 287 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.22/0.51    Following clause subsumed by 288 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),A)).
% 0.22/0.51    Following clause subsumed by 101 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.22/0.51    Following clause subsumed by 102 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.22/0.51    Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.22/0.51    Following clause subsumed by 293 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.22/0.52    Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.22/0.52    Following clause subsumed by 304 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 0.22/0.52    Following clause subsumed by 103 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 293 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.22/0.52    Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.22/0.52    Following clause subsumed by 286 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A!=B.
% 0.22/0.52    Following clause subsumed by 304 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B.
% 0.22/0.52    Following clause subsumed by 99 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.22/0.52    Following clause subsumed by 100 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.22/0.52    Following clause subsumed by 329 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,B).
% 0.22/0.52    Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B),C))| -c_Finite__Set_Ofinite(A,C)|c_Finite__Set_Ofinite(A,B).
% 0.22/0.52    Following clause subsumed by 329 during input processing: 0 [] {-} -class_Finite__Set_Ofinite(A)|c_Finite__Set_Ofinite(A,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.22/0.52    Following clause subsumed by 353 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,c_Set_Oinsert(A,B,C))| -c_Finite__Set_Ofinite(A,C).
% 0.22/0.52    Following clause subsumed by 350 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,D,C))).
% 0.22/0.52    Following clause subsumed by 352 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B=C|hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.22/0.52    Following clause subsumed by 351 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))|B!=C.
% 0.22/0.52    Following clause subsumed by 350 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oinsert(A,C,D)))| -hBOOL(hAPP(hAPP(c_member(A),B),D)).
% 0.22/0.52    Following clause subsumed by 361 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),c_Set_Oinsert(A,B,D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C),D)).
% 0.22/0.52    Following clause subsumed by 369 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))|c_Finite__Set_Ofinite(A,C).
% 0.22/0.52    Following clause subsumed by 368 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))|c_Finite__Set_Ofinite(B,D).
% 0.22/0.52    Following clause subsumed by 370 during input processing: 0 [] {-} c_Finite__Set_Ofinite(tc_sum(A,B),c_Sum__Type_OPlus(A,B,C,D))| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,D).
% 0.22/0.52    Following clause subsumed by 347 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,D)|c_Finite__Set_Ocard(tc_sum(A,C),c_Sum__Type_OPlus(A,C,B,D))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Finite__Set_Ocard(A,B)),c_Finite__Set_Ocard(C,D)).
% 0.22/0.52    Following clause subsumed by 380 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.22/0.52    Following clause subsumed by 293 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.52    Following clause subsumed by 372 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.22/0.52    Following clause subsumed by 388 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.22/0.52    Following clause subsumed by 372 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.22/0.52    Following clause subsumed by 391 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.22/0.52    Following clause subsumed by 102 during input processing: 0 [] {-} 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),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.22/0.52    Following clause subsumed by 101 during input processing: 0 [] {-} 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),A),B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 0.22/0.52    Following clause subsumed by 413 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.22/0.52    Following clause subsumed by 414 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.22/0.52    Following clause subsumed by 423 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.22/0.52    Following clause subsumed by 424 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.52    Following clause subsumed by 423 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.22/0.52    Following clause subsumed by 424 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.52    Following clause subsumed by 293 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|A!=hAPP(c_Nat_OSuc,B).
% 0.22/0.52    Following clause subsumed by 428 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B))).
% 0.22/0.52    Following clause subsumed by 427 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=hAPP(c_Nat_OSuc,B).
% 0.22/0.52    Following clause subsumed by 432 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.22/0.52    Following clause subsumed by 434 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.22/0.52    Following clause subsumed by 437 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|A=B.
% 0.22/0.52    Following clause subsumed by 435 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 422 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 437 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|A=B.
% 0.22/0.52    Following clause subsumed by 440 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 443 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.52    Following clause subsumed by 470 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 469 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 472 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B))).
% 0.22/0.52    Following clause subsumed by 469 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.22/0.52    Following clause subsumed by 443 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 0.22/0.52    Following clause subsumed by 470 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B)).
% 0.22/0.52    Following clause subsumed by 477 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.22/0.52    Following clause subsumed by 480 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|hBOOL(hAPP(hAPP(c_member(A),C),B))|c_Finite__Set_Ocard(A,c_Set_Oinsert(A,C,B))=hAPP(c_Nat_OSuc,c_Finite__Set_Ocard(A,B)).
% 0.22/0.52    Following clause subsumed by 500 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(A,B)=c_Finite__Set_Ofold__image(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.22/0.52    Following clause subsumed by 522 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(C,c_Set_Oimage(A,C,D,B))!=c_Finite__Set_Ocard(A,B)|c_Fun_Oinj__on(A,C,D,B).
% 0.22/0.52    Following clause subsumed by 504 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Set_Oimage(C,A,D,E)))| -hBOOL(hAPP(hAPP(c_member(C),F),E))|B!=hAPP(D,F).
% 0.22/0.52    Following clause subsumed by 504 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_member(A),B),C))|D!=hAPP(E,B)|hBOOL(hAPP(hAPP(c_member(F),D),c_Set_Oimage(A,F,E,C))).
% 0.38/0.57    Following clause subsumed by 535 during input processing: 0 [] {-} c_Set_Oimage(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))!=c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))|hAPP(C,hAPP(c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),D))=D.
% 0.38/0.57    Following clause subsumed by 552 during input processing: 0 [] {-} -c_Fun_Oinj__on(A,B,C,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))|c_Set_Oimage(B,A,c_Hilbert__Choice_Oinv__into(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)),C),c_Set_Oimage(A,B,C,D))=D.
% 0.38/0.57    Following clause subsumed by 556 during input processing: 0 [] {-} -c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,D)| -c_Fun_Oinj__on(A,C,E,B)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),c_Set_Oimage(A,C,E,B)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Finite__Set_Ocard(A,B)),c_Finite__Set_Ocard(C,D))).
% 0.38/0.57    Following clause subsumed by 563 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|B=D.
% 0.38/0.57    Following clause subsumed by 564 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(A),D),E))|C=E.
% 0.38/0.57  102 back subsumes 77.
% 0.38/0.57  145 back subsumes 144.
% 0.38/0.57  157 back subsumes 155.
% 0.38/0.57    Following clause subsumed by 424 during input processing: 0 [copy,423,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.38/0.57    Following clause subsumed by 423 during input processing: 0 [copy,424,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.38/0.57  443 back subsumes 442.
% 0.38/0.57  527 back subsumes 507.
% 0.38/0.57  532 back subsumes 519.
% 0.38/0.57  541 back subsumes 521.
% 0.38/0.57  546 back subsumes 513.
% 0.38/0.57  546 back subsumes 512.
% 0.38/0.57  626 back subsumes 622.
% 0.38/0.57  628 back subsumes 620.
% 0.38/0.57  631 back subsumes 630.
% 0.38/0.57  631 back subsumes 625.
% 0.38/0.57  
% 0.38/0.57  ------------> process sos:
% 0.38/0.57    Following clause subsumed by 716 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.38/0.57    Following clause subsumed by 716 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B),A)).
% 0.38/0.57    Following clause subsumed by 691 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_member(A),B),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool)))).
% 0.38/0.57    Following clause subsumed by 746 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.38/0.57    Following clause subsumed by 751 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.38/0.57    Following clause subsumed by 752 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)|c_Finite__Set_Ocard(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.38/0.57  680 back subsumes 84.
% 0.38/0.57  680 back subsumes 81.
% 0.38/0.57  680 back subsumes 78.
% 0.38/0.57  680 back subsumes 75.
% 0.38/0.57  680 back subsumes 72.
% 0.38/0.57  680 back subsumes 69.
% 0.38/0.57  680 back subsumes 66.
% 0.38/0.57  681 back subsumes 51.
% 0.38/0.57  681 back subsumes 49.
% 0.38/0.57  681 back subsumes 47.
% 0.38/0.57  681 back subsumes 45.
% 0.38/0.57  681 back subsumes 10.
% 0.38/0.57  681 back subsumes 9.
% 0.38/0.57  681 back subsumes 8.
% 0.38/0.57  682 back subsumes 65.
% 0.38/0.57  684 back subsumes 64.
% 0.38/0.57    Following clause subsumed by 717 during input processing: 0 [copy,717,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 0.38/0.59    Following clause subsumed by 718 during input processing: 0 [copy,718,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 0.38/0.59    Following clause subsumed by 737 during input processing: 0 [copy,737,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.38/0.59    Following clause subsumed by 848 during input processing: 0 [copy,760,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 0.38/0.59    Following clause subsumed by 848 during input processing: 0 [copy,788,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.38/0.59    Following clause subsumed by 798 during input processing: 0 [copy,795,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oimage(D,A,E,c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool))))=c_Set_Oimage(D,B,hAPP(c_COMBB(A,B,D,C),E),c_Orderings_Otop__class_Otop(tc_fun(D,tc_HOL_Obool))).
% 0.38/0.59    Following clause subsumed by 848 during input processing: 0 [copy,848,flip.1] {-} A=A.
% 0.38/0.59  848 back subsumes 788.
% 0.38/0.59  848 back subsumes 760.
% 0.38/0.59  848 back subsumes 677.
% 0.38/0.59  848 back subsumes 668.
% 0.38/0.59  848 back subsumes 667.
% 0.38/0.59  848 back subsumes 666.
% 0.38/0.59  848 back subsumes 663.
% 0.38/0.59  848 back subsumes 662.
% 0.38/0.59  848 back subsumes 645.
% 0.38/0.59  848 back subsumes 644.
% 0.38/0.59  848 back subsumes 640.
% 0.38/0.59  848 back subsumes 637.
% 0.38/0.59  848 back subsumes 635.
% 0.38/0.59  848 back subsumes 634.
% 0.38/0.59  848 back subsumes 633.
% 0.38/0.59  848 back subsumes 628.
% 0.38/0.59  848 back subsumes 623.
% 0.38/0.59  848 back subsumes 621.
% 0.38/0.59  848 back subsumes 618.
% 0.38/0.59  848 back subsumes 617.
% 0.38/0.59  848 back subsumes 616.
% 0.38/0.59  848 back subsumes 606.
% 0.38/0.59  848 back subsumes 603.
% 0.38/0.59  848 back subsumes 599.
% 0.38/0.59  848 back subsumes 597.
% 0.38/0.59  848 back subsumes 595.
% 0.38/0.59  848 back subsumes 594.
% 0.38/0.59  848 back subsumes 591.
% 0.38/0.59    Following clause subsumed by 709 during input processing: 0 [copy,849,flip.1] {-} c_FuncSet_OPi(A,B,C,hAPP(c_COMBK(tc_fun(B,tc_HOL_Obool),A),c_Orderings_Otop__class_Otop(tc_fun(B,tc_HOL_Obool))))=c_Orderings_Otop__class_Otop(tc_fun(tc_fun(A,B),tc_HOL_Obool)).
% 0.38/0.59  902 back subsumes 889.
% 0.38/0.59    Following clause subsumed by 794 during input processing: 0 [copy,927,flip.1] {-} c_Nat_Onat_Onat__case(A,B,C,hAPP(c_Nat_OSuc,D))=hAPP(C,D).
% 0.38/0.59    Following clause subsumed by 798 during input processing: 0 [copy,928,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oimage(D,A,E,F))=c_Set_Oimage(D,B,hAPP(c_COMBB(A,B,D,C),E),F).
% 0.38/0.59  928 back subsumes 795.
% 0.38/0.59    Following clause subsumed by 799 during input processing: 0 [copy,929,flip.1] {-} c_Set_Oimage(A,B,C,c_Set_Oinsert(A,D,E))=c_Set_Oinsert(B,hAPP(C,D),c_Set_Oimage(A,B,C,E)).
% 0.38/0.59    Following clause subsumed by 845 during input processing: 0 [copy,932,flip.1] {-} hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 0.38/0.59    Following clause subsumed by 846 during input processing: 0 [copy,933,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.38/0.59  
% 0.38/0.59  ======= end of input processing =======
% 0.38/0.60  
% 0.38/0.60  SEGMENTATION FAULT!!  This is probably caused by a
% 0.38/0.60  bug in Otter.  Please send copy of the input file to
% 0.38/0.60  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.60  using, and send any other info that might be useful.
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  SEGMENTATION FAULT!!  This is probably caused by a
% 0.38/0.60  bug in Otter.  Please send copy of the input file to
% 0.38/0.60  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.38/0.60  using, and send any other info that might be useful.
% 0.38/0.60  
% 0.38/0.60  
% 0.38/0.60  The job finished Sat Jul  2 00:13:53 2022
%------------------------------------------------------------------------------