TSTP Solution File: SWW191+1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : SWW191+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 01:26:19 EDT 2022

% Result   : Unknown 0.42s 0.59s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWW191+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.15  % Command  : sos-script %s
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun  4 12:43:50 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.52  ----- Otter 3.2, August 2001 -----
% 0.22/0.52  The process was started by sandbox on n024.cluster.edu,
% 0.22/0.52  Sat Jun  4 12:43:50 2022
% 0.22/0.52  The command was "./sos".  The process ID is 20983.
% 0.22/0.52  
% 0.22/0.52  set(prolog_style_variables).
% 0.22/0.52  set(auto).
% 0.22/0.52     dependent: set(auto1).
% 0.22/0.52     dependent: set(process_input).
% 0.22/0.52     dependent: clear(print_kept).
% 0.22/0.52     dependent: clear(print_new_demod).
% 0.22/0.52     dependent: clear(print_back_demod).
% 0.22/0.52     dependent: clear(print_back_sub).
% 0.22/0.52     dependent: set(control_memory).
% 0.22/0.52     dependent: assign(max_mem, 12000).
% 0.22/0.52     dependent: assign(pick_given_ratio, 4).
% 0.22/0.52     dependent: assign(stats_level, 1).
% 0.22/0.52     dependent: assign(pick_semantic_ratio, 3).
% 0.22/0.52     dependent: assign(sos_limit, 5000).
% 0.22/0.52     dependent: assign(max_weight, 60).
% 0.22/0.52  clear(print_given).
% 0.22/0.52  
% 0.22/0.52  formula_list(usable).
% 0.22/0.52  
% 0.22/0.52  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.22/0.52  
% 0.22/0.52  This ia a non-Horn set with equality.  The strategy will be
% 0.22/0.52  Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.22/0.52  unit deletion, with positive clauses in sos and nonpositive
% 0.22/0.52  clauses in usable.
% 0.22/0.52  
% 0.22/0.52     dependent: set(knuth_bendix).
% 0.22/0.52     dependent: set(para_from).
% 0.22/0.52     dependent: set(para_into).
% 0.22/0.52     dependent: clear(para_from_right).
% 0.22/0.52     dependent: clear(para_into_right).
% 0.22/0.52     dependent: set(para_from_vars).
% 0.22/0.52     dependent: set(eq_units_both_ways).
% 0.22/0.52     dependent: set(dynamic_demod_all).
% 0.22/0.52     dependent: set(dynamic_demod).
% 0.22/0.52     dependent: set(order_eq).
% 0.22/0.52     dependent: set(back_demod).
% 0.22/0.52     dependent: set(lrpo).
% 0.22/0.52     dependent: set(hyper_res).
% 0.22/0.52     dependent: set(unit_deletion).
% 0.22/0.52     dependent: set(factor).
% 0.22/0.52  
% 0.22/0.52  ------------> process usable:
% 0.22/0.52    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.22/0.52    Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.22/0.52    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.22/0.52    Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 0.22/0.52    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 25 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.22/0.52    Following clause subsumed by 25 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 25 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 20 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.22/0.52    Following clause subsumed by 21 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.22/0.52    Following clause subsumed by 38 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.22/0.52    Following clause subsumed by 40 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.22/0.52    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.22/0.52    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.22/0.52    Following clause subsumed by 12 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|B!=C.
% 0.22/0.52    Following clause subsumed by 41 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.22/0.52    Following clause subsumed by 45 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.22/0.52    Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.22/0.52    Following clause subsumed by 39 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C.
% 0.22/0.52    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 42 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.22/0.52    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.22/0.52    Following clause subsumed by 42 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.22/0.52    Following clause subsumed by 49 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B).
% 0.22/0.52    Following clause subsumed by 48 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|A=B.
% 0.22/0.52    Following clause subsumed by 11 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.22/0.52    Following clause subsumed by 9 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.22/0.52    Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.22/0.52    Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.22/0.52    Following clause subsumed by 14 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.22/0.52    Following clause subsumed by 12 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.22/0.52    Following clause subsumed by 9 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.22/0.53    Following clause subsumed by 94 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|B=C.
% 0.22/0.53    Following clause subsumed by 92 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C).
% 0.22/0.53    Following clause subsumed by 92 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_fun(A,tc_HOL_Obool),B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.22/0.53    Following clause subsumed by 89 during input processing: 0 [] {-} A!=B| -c_member(C,D,A)|c_member(C,D,B).
% 0.22/0.53    Following clause subsumed by 88 during input processing: 0 [] {-} A!=B|c_member(C,D,A)| -c_member(C,D,B).
% 0.22/0.53    Following clause subsumed by 104 during input processing: 0 [] {-} A!=B| -c_member(C,B,D)|c_member(C,A,D).
% 0.22/0.53    Following clause subsumed by 95 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.22/0.53    Following clause subsumed by 91 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.22/0.53    Following clause subsumed by 91 during input processing: 0 [] {-} -c_member(A,B,C)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D)|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 91 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)| -c_member(A,D,B)|c_member(A,D,C).
% 0.22/0.53    Following clause subsumed by 105 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.22/0.53    Following clause subsumed by 95 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.22/0.53    Following clause subsumed by 107 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,D)|hBOOL(hAPP(D,B)).
% 0.22/0.53    Following clause subsumed by 95 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B).
% 0.22/0.53    Following clause subsumed by 105 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.22/0.53    Following clause subsumed by 90 during input processing: 0 [] {-} A=B| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),A,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(C,tc_HOL_Obool),B,A).
% 0.22/0.53    Following clause subsumed by 121 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OisLub(A,B,C,D)|c_Lubs_OleastP(A,c_Lubs_OisUb(A,B,C),D).
% 0.22/0.53    Following clause subsumed by 122 during input processing: 0 [] {-} -class_Orderings_Oord(A)|c_Lubs_OisLub(A,B,C,D)| -c_Lubs_OleastP(A,c_Lubs_OisUb(A,B,C),D).
% 0.22/0.53    Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))|c_member(A,D,B).
% 0.22/0.53    Following clause subsumed by 123 during input processing: 0 [] {-} -class_Orderings_Oord(A)|hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))| -c_Lubs_Osetle(A,C,D)| -c_member(A,D,B).
% 0.22/0.53    Following clause subsumed by 126 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OleastP(A,B,C)|hBOOL(hAPP(B,C)).
% 0.22/0.53    Following clause subsumed by 127 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_OleastP(A,B,C)|c_Lubs_Osetge(A,C,c_Set_OCollect(A,B)).
% 0.22/0.53    Following clause subsumed by 125 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_Osetge(A,B,C)| -c_member(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.22/0.53    Following clause subsumed by 124 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Lubs_OisUb(A,B,C),D))|c_Lubs_Osetle(A,C,D).
% 0.22/0.53    Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Lubs_Osetle(A,B,C)| -c_member(A,D,B)|c_Orderings_Oord__class_Oless__eq(A,D,C).
% 0.22/0.53    Following clause subsumed by 168 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,D))|B=C|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 170 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))|B!=C.
% 0.22/0.53    Following clause subsumed by 169 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,D))| -c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 169 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Set_Oinsert(A,D,C)).
% 0.22/0.53    Following clause subsumed by 182 during input processing: 0 [] {-} -c_member(tc_fun(A,tc_HOL_Obool),B,c_Set_OPow(A,C))|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.22/0.53    Following clause subsumed by 171 during input processing: 0 [] {-} c_member(tc_fun(A,tc_HOL_Obool),B,c_Set_OPow(A,C))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C).
% 0.22/0.53    Following clause subsumed by 181 during input processing: 0 [] {-} c_member(A,B,C)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),C,D).
% 0.22/0.53    Following clause subsumed by 215 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.22/0.53    Following clause subsumed by 213 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 213 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 213 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 215 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 213 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 216 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 214 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 217 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.22/0.53    Following clause subsumed by 218 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.22/0.53    Following clause subsumed by 214 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.22/0.53    Following clause subsumed by 216 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.53    Following clause subsumed by 271 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),A,D),B)).
% 0.22/0.53    Following clause subsumed by 270 during input processing: 0 [] {-} -hBOOL(hAPP(A,B))|hBOOL(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(C,tc_HOL_Obool),D,A),B)).
% 0.22/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),D,C)).
% 0.22/0.53    Following clause subsumed by 273 during input processing: 0 [] {-} -c_member(A,B,C)|c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 0.22/0.53    Following clause subsumed by 274 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C)|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 273 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C).
% 0.22/0.53    Following clause subsumed by 272 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 295 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,C)|c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=C.
% 0.22/0.53    Following clause subsumed by 275 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.22/0.53    Following clause subsumed by 218 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.22/0.53    Following clause subsumed by 275 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.22/0.53    Following clause subsumed by 216 during input processing: 0 [] {-} 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).
% 0.22/0.53    Following clause subsumed by 321 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,B)=B.
% 0.22/0.53    Following clause subsumed by 322 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(A,C,B).
% 0.22/0.53    Following clause subsumed by 324 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,B,C))=c_Lattices_Osemilattice__sup__class_Osup(A,B,C).
% 0.22/0.53    Following clause subsumed by 326 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D))=c_Lattices_Osemilattice__sup__class_Osup(A,C,c_Lattices_Osemilattice__sup__class_Osup(A,B,D)).
% 0.22/0.53    Following clause subsumed by 328 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Lattices_Osemilattice__sup__class_Osup(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(A,B,c_Lattices_Osemilattice__sup__class_Osup(A,C,D)).
% 0.22/0.53    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,D,C)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,D),C).
% 0.22/0.53    Following clause subsumed by 330 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.22/0.53    Following clause subsumed by 331 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.22/0.53    Following clause subsumed by 333 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)|c_Orderings_Oord__class_Oless__eq(A,c_Lattices_Osemilattice__sup__class_Osup(A,B,C),D)| -c_Orderings_Oord__class_Oless__eq(A,B,D)| -c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.22/0.53    Following clause subsumed by 335 during input processing: 0 [] {-} -class_Lattices_Osemilattice__sup(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__sup__class_Osup(A,B,C)=C.
% 0.22/0.53    Following clause subsumed by 263 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(A),B)| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 0.22/0.53    Following clause subsumed by 294 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,c_RComplete_Onatfloor(A))| -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B),A).
% 0.22/0.53    Following clause subsumed by 349 during input processing: 0 [] {-} -c_member(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))).
% 0.22/0.53    Following clause subsumed by 352 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.22/0.53    Following clause subsumed by 352 during input processing: 0 [] {-} -c_member(A,B,C)|C!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.22/0.53    Following clause subsumed by 95 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))|B!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.22/0.53    Following clause subsumed by 377 during input processing: 0 [] {-} -c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B=C.
% 0.22/0.53    Following clause subsumed by 170 during input processing: 0 [] {-} c_member(A,B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))))|B!=C.
% 0.22/0.53    Following clause subsumed by 406 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)|B=D.
% 0.22/0.53    Following clause subsumed by 405 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)|c_SetInterval_Oord__class_OatLeastLessThan(A,B,C)!=c_SetInterval_Oord__class_OatLeastLessThan(A,D,E)|C=E.
% 0.22/0.53    Following clause subsumed by 456 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.22/0.53    Following clause subsumed by 457 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 458 during input processing: 0 [] {-} c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)| -c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 456 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.22/0.53    Following clause subsumed by 457 during input processing: 0 [] {-} -c_member(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 459 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.22/0.53    Following clause subsumed by 460 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 461 during input processing: 0 [] {-} c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,C)|c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 459 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))|c_member(A,B,C).
% 0.22/0.53    Following clause subsumed by 460 during input processing: 0 [] {-} -c_member(A,B,c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),C,D))| -c_member(A,B,D).
% 0.22/0.53    Following clause subsumed by 485 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,B)=B.
% 0.22/0.53    Following clause subsumed by 486 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,C)=c_Lattices_Osemilattice__inf__class_Oinf(A,C,B).
% 0.22/0.53    Following clause subsumed by 488 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,B,C))=c_Lattices_Osemilattice__inf__class_Oinf(A,B,C).
% 0.22/0.53    Following clause subsumed by 490 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))=c_Lattices_Osemilattice__inf__class_Oinf(A,C,c_Lattices_Osemilattice__inf__class_Oinf(A,B,D)).
% 0.22/0.53    Following clause subsumed by 492 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Lattices_Osemilattice__inf__class_Oinf(A,c_Lattices_Osemilattice__inf__class_Oinf(A,B,C),D)=c_Lattices_Osemilattice__inf__class_Oinf(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.22/0.54    Following clause subsumed by 454 during input processing: 0 [] {-} -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(B,D)).
% 0.22/0.54    Following clause subsumed by 455 during input processing: 0 [] {-} -hBOOL(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),D))|hBOOL(hAPP(C,D)).
% 0.22/0.54    Following clause subsumed by 501 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D)).
% 0.22/0.54    Following clause subsumed by 498 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.22/0.54    Following clause subsumed by 499 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.22/0.54    Following clause subsumed by 501 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)|c_Orderings_Oord__class_Oless__eq(A,B,c_Lattices_Osemilattice__inf__class_Oinf(A,C,D))| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.22/0.54    Following clause subsumed by 503 during input processing: 0 [] {-} -class_Lattices_Osemilattice__inf(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(A,B,C)=B.
% 0.22/0.54    Following clause subsumed by 514 during input processing: 0 [flip.2] {-} -c_member(A,B,C)|c_Set_Oinsert(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),D,C))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C).
% 0.22/0.54    Following clause subsumed by 516 during input processing: 0 [flip.2] {-} -c_member(A,B,C)|c_Set_Oinsert(A,B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D)).
% 0.22/0.54    Following clause subsumed by 517 during input processing: 0 [] {-} -c_member(A,B,C)|c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),D,C).
% 0.22/0.54    Following clause subsumed by 187 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)|c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.22/0.54    Following clause subsumed by 181 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))|c_member(A,C,B)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.22/0.54    Following clause subsumed by 452 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_member(A,C,B).
% 0.22/0.54    Following clause subsumed by 181 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D)| -c_Orderings_Oord__class_Oless__eq(tc_fun(A,tc_HOL_Obool),B,D).
% 0.22/0.54    Following clause subsumed by 558 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.22/0.54    Following clause subsumed by 572 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 574 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.22/0.54    Following clause subsumed by 604 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 604 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 604 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 604 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 604 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 606 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.22/0.54    Following clause subsumed by 607 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.22/0.54    Following clause subsumed by 609 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=A.
% 0.22/0.54    Following clause subsumed by 611 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(B).
% 0.22/0.54    Following clause subsumed by 612 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 216 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Nat_OSuc(B).
% 0.22/0.54    Following clause subsumed by 619 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 0.22/0.54    Following clause subsumed by 617 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 601 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 619 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.22/0.54    Following clause subsumed by 622 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 636 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.22/0.54    Following clause subsumed by 643 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 642 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 645 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.22/0.54    Following clause subsumed by 642 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.22/0.54    Following clause subsumed by 625 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 0.22/0.54    Following clause subsumed by 643 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.22/0.54    Following clause subsumed by 662 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.22/0.54    Following clause subsumed by 695 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.22/0.54    Following clause subsumed by 697 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.22/0.54    Following clause subsumed by 700 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.22/0.54    Following clause subsumed by 702 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.22/0.54    Following clause subsumed by 707 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.22/0.54    Following clause subsumed by 708 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.22/0.54    Following clause subsumed by 719 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.22/0.54    Following clause subsumed by 720 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.22/0.54    Following clause subsumed by 730 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.22/0.54    Following clause subsumed by 731 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.22/0.54    Following clause subsumed by 735 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.22/0.54    Following clause subsumed by 734 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.22/0.54    Following clause subsumed by 763 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.22/0.54    Following clause subsumed by 782 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.22/0.54    Following clause subsumed by 788 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.22/0.55    Following clause subsumed by 800 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.22/0.55    Following clause subsumed by 801 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.22/0.55    Following clause subsumed by 727 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.22/0.55    Following clause subsumed by 833 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.22/0.55    Following clause subsumed by 662 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.22/0.55    Following clause subsumed by 42 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.22/0.55    Following clause subsumed by 44 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.22/0.55    Following clause subsumed by 858 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.22/0.55    Following clause subsumed by 872 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,C))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.22/0.55    Following clause subsumed by 882 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.22/0.55    Following clause subsumed by 941 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 0.22/0.55    Following clause subsumed by 940 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.22/0.55    Following clause subsumed by 945 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.22/0.55    Following clause subsumed by 962 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|c_Groups_Otimes__class_Otimes(A,B,B)=B.
% 0.22/0.55    Following clause subsumed by 968 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|c_Groups_Otimes__class_Otimes(A,B,C)!=c_Groups_Ozero__class_Ozero(A).
% 0.40/0.57    Following clause subsumed by 988 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.40/0.57    Following clause subsumed by 994 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.40/0.57  8 back subsumes 5.
% 0.40/0.57    Following clause subsumed by 354 during input processing: 0 [copy,353,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.40/0.57    Following clause subsumed by 353 during input processing: 0 [copy,354,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))!=c_Set_Oinsert(A,B,C).
% 0.40/0.57  625 back subsumes 624.
% 0.40/0.57  719 back subsumes 689.
% 0.40/0.57  720 back subsumes 690.
% 0.40/0.57  794 back subsumes 792.
% 0.40/0.57  795 back subsumes 793.
% 0.40/0.57  936 back subsumes 923.
% 0.40/0.57  960 back subsumes 955.
% 0.40/0.57  978 back subsumes 957.
% 0.40/0.57    Following clause subsumed by 369 during input processing: 0 [copy,1118,flip.1] {-} c_Set_OPow(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool)).
% 0.40/0.57    Following clause subsumed by 877 during input processing: 0 [copy,1174,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.57  
% 0.40/0.57  ------------> process sos:
% 0.40/0.57    Following clause subsumed by 1228 during input processing: 0 [] {-} c_member(A,B,c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.40/0.57    Following clause subsumed by 1228 during input processing: 0 [] {-} c_member(A,$f32(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_HOL_Obool))).
% 0.40/0.57    Following clause subsumed by 1242 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.40/0.57    Following clause subsumed by 1242 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.40/0.57    Following clause subsumed by 1246 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(A)).
% 0.40/0.57    Following clause subsumed by 1273 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.40/0.57    Following clause subsumed by 1246 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.40/0.57    Following clause subsumed by 1302 during input processing: 0 [demod,1299,1275] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.57    Following clause subsumed by 1384 during input processing: 0 [] {-} c_member(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,D),C)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),D,C).
% 0.40/0.57    Following clause subsumed by 1385 during input processing: 0 [] {-} c_member(A,B,C)|c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D).
% 0.40/0.57    Following clause subsumed by 1402 during input processing: 0 [] {-} c_Nitpick_Ofold__graph_H(A,B,C,D,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)),D).
% 0.40/0.57    Following clause subsumed by 1450 during input processing: 0 [demod,1448,1275] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.40/0.57    Following clause subsumed by 1462 during input processing: 0 [demod,1483] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A).
% 0.40/0.57  1229 back subsumes 1129.
% 0.40/0.58    Following clause subsumed by 1234 during input processing: 0 [copy,1234,flip.1] {-} c_Set_Oinsert(A,B,c_Set_Oinsert(A,C,D))=c_Set_Oinsert(A,C,c_Set_Oinsert(A,B,D)).
% 0.40/0.58  1243 back subsumes 1147.
% 0.40/0.58  1246 back subsumes 1245.
% 0.40/0.58    Following clause subsumed by 1255 during input processing: 0 [copy,1255,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,B).
% 0.40/0.58    Following clause subsumed by 1258 during input processing: 0 [copy,1258,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),B,D)).
% 0.40/0.58    Following clause subsumed by 1719 during input processing: 0 [copy,1302,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.58    Following clause subsumed by 1367 during input processing: 0 [copy,1367,flip.1] {-} c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C)=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,B).
% 0.40/0.58    Following clause subsumed by 1370 during input processing: 0 [copy,1370,flip.1] {-} c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,D))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,D)).
% 0.40/0.58    Following clause subsumed by 1401 during input processing: 0 [copy,1401,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.40/0.58    Following clause subsumed by 1719 during input processing: 0 [copy,1450,flip.1] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.40/0.58    Following clause subsumed by 1462 during input processing: 0 [copy,1462,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.40/0.58    Following clause subsumed by 1463 during input processing: 0 [copy,1463,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.40/0.58    Following clause subsumed by 1719 during input processing: 0 [copy,1489,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 0.40/0.58    Following clause subsumed by 1530 during input processing: 0 [copy,1530,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.40/0.58    Following clause subsumed by 1531 during input processing: 0 [copy,1531,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.40/0.58    Following clause subsumed by 1719 during input processing: 0 [copy,1719,flip.1] {-} A=A.
% 0.40/0.58  1719 back subsumes 1489.
% 0.40/0.58  1719 back subsumes 1450.
% 0.40/0.58  1719 back subsumes 1302.
% 0.40/0.58  1719 back subsumes 1177.
% 0.40/0.58  1719 back subsumes 1145.
% 0.40/0.58  1719 back subsumes 1144.
% 0.40/0.58  1719 back subsumes 1142.
% 0.40/0.58  1719 back subsumes 1122.
% 0.40/0.58  1719 back subsumes 1121.
% 0.40/0.58  1719 back subsumes 1120.
% 0.40/0.58  1719 back subsumes 1103.
% 0.40/0.58  1719 back subsumes 1095.
% 0.40/0.58  1719 back subsumes 1094.
% 0.40/0.58  1719 back subsumes 1086.
% 0.40/0.58  1719 back subsumes 1083.
% 0.40/0.58  1719 back subsumes 1070.
% 0.40/0.58  1719 back subsumes 1067.
% 0.40/0.58  1719 back subsumes 1066.
% 0.40/0.58  1719 back subsumes 1064.
% 0.40/0.58    Following clause subsumed by 1250 during input processing: 0 [copy,1740,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)=c_SetInterval_Oord__class_OatMost(tc_Nat_Onat,A).
% 0.40/0.58    Following clause subsumed by 1265 during input processing: 0 [copy,1741,flip.1] {-} c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,C),D)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,c_Set_Oinsert(A,B,D)).
% 0.40/0.58    Following clause subsumed by 1296 during input processing: 0 [copy,1745,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),c_Set_Oinsert(A,B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))),C).
% 0.40/0.58  1768 back subsumes 1767.
% 0.40/0.58  1769 back subsumes 1766.
% 0.40/0.58    Following clause subsumed by 1308 during input processing: 0 [copy,1786,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)=c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat,A).
% 0.40/0.58    Following clause subsumed by 1310 during input processing: 0 [copy,1787,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.40/0.58    Following clause subsumed by 1799 during input processing: 0 [copy,1788,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.40/0.58    Following clause subsumed by 1322 during input processing: 0 [copy,1789,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)).
% 0.40/0.58    Following clause subsumed by 1798 during input processing: 0 [copy,1796,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,B)),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,D),C)).
% 0.40/0.58    Following clause subsumed by 1364 during input processing: 0 [copy,1797,flip.1] {-} c_Set_OPow(A,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C))=c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(A,tc_HOL_Obool),tc_HOL_Obool),c_Set_OPow(A,B),c_Set_OPow(A,C)).
% 0.40/0.58    Following clause subsumed by 1796 during input processing: 0 [copy,1798,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),C,B)),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,D),C))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(A,tc_HOL_Obool),C,D)).
% 0.40/0.58    Following clause subsumed by 1788 during input processing: 0 [copy,1799,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(A,tc_HOL_Obool),B,C),B).
% 0.40/0.58    Following clause subsumed by 1390 during input processing: 0 [copy,1806,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))),D).
% 0.40/0.58    Following clause subsumed by 1391 during input processing: 0 [copy,1807,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,c_Set_Oinsert(A,C,D))=c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),c_Groups_Ominus__class_Ominus(tc_fun(A,tc_HOL_Obool),B,D),c_Set_Oinsert(A,C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_HOL_Obool)))).
% 0.40/0.58    Following clause subsumed by 1395 during input processing: 0 [copy,1808,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.59    Following clause subsumed by 1865 during input processing: 0 [copy,1809,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B)=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,A,B).
% 0.40/0.59    Following clause subsumed by 1862 during input processing: 0 [copy,1810,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B).
% 0.40/0.59    Following clause subsumed by 1439 during input processing: 0 [copy,1817,flip.1] {-} c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat,A)=c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat,A),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,A,A)).
% 0.40/0.59    Following clause subsumed by 1855 during input processing: 0 [copy,1818,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.40/0.59    Following clause subsumed by 1453 during input processing: 0 [copy,1847,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.59    Following clause subsumed by 1853 during input processing: 0 [copy,1848,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 0.40/0.59    Following clause subsumed by 1848 during input processing: 0 [copy,1853,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),B)).
% 0.40/0.59    Following clause subsumed by 1476 during input processing: 0 [copy,1854,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.40/0.59    Following clause subsumed by 1818 during input processing: 0 [copy,1855,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 0.40/0.59    Following clause subsumed by 1810 during input processing: 0 [copy,1862,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,A,B)=c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.40/0.59    Following clause subsumed by 1809 during input processing: 0 [copy,1865,flip.1] {-} c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,A,B)=c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)),B).
% 0.40/0.59    Following clause subsumed by 1508 during input processing: 0 [copy,1907,flip.1] {-} c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)=c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,A,B).
% 0.40/0.59    Following clause subsumed by 1511 during input processing: 0 [copy,1908,flip.1] {-} c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)=c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,A,B).
% 0.40/0.59    Following clause subsumed by 1912 during input processing: 0 [copy,1909,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.59    Following clause subsumed by 1909 during input processing: 0 [copy,1912,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.40/0.59    Following clause subsumed by 1866 during input processing: 0 [copy,1915,flip.1] {-} c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat,A).
% 0.40/0.59    Following clause subsumed by 1906 during input processing: 0 [copy,1916,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.59  
% 0.40/0.59  ======= end of input processing =======
% 0.42/0.59  
% 0.42/0.59  SEGMENTATION FAULT!!  This is probably caused by a
% 0.42/0.59  bug in Otter.  Please send copy of the input file to
% 0.42/0.59  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.42/0.59  using, and send any other info that might be useful.
% 0.42/0.59  
% 0.42/0.59  
% 0.42/0.59  SEGMENTATION FAULT!!  This is probably caused by a
% 0.42/0.59  bug in Otter.  Please send copy of the input file to
% 0.42/0.59  otter@mcs.anl.gov, let us know what version of Otter you are
% 0.42/0.59  using, and send any other info that might be useful.
% 0.42/0.59  
% 0.42/0.59  
% 0.42/0.59  The job finished Sat Jun  4 12:43:50 2022
%------------------------------------------------------------------------------