TSTP Solution File: NUM923+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM923+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 14:23:04 EDT 2022
% Result : Unknown 0.18s 1.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.49 % Problem : NUM923+3 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.50 % Command : sos-script %s
% 0.14/0.70 % Computer : n019.cluster.edu
% 0.14/0.70 % Model : x86_64 x86_64
% 0.14/0.70 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.70 % Memory : 8042.1875MB
% 0.14/0.70 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.70 % CPULimit : 300
% 0.14/0.70 % WCLimit : 600
% 0.14/0.70 % DateTime : Thu Jul 7 01:51:40 EDT 2022
% 0.14/0.70 % CPUTime :
% 0.18/0.93 ----- Otter 3.2, August 2001 -----
% 0.18/0.93 The process was started by sandbox on n019.cluster.edu,
% 0.18/0.93 Thu Jul 7 01:51:40 2022
% 0.18/0.93 The command was "./sos". The process ID is 26934.
% 0.18/0.93
% 0.18/0.93 set(prolog_style_variables).
% 0.18/0.93 set(auto).
% 0.18/0.93 dependent: set(auto1).
% 0.18/0.93 dependent: set(process_input).
% 0.18/0.93 dependent: clear(print_kept).
% 0.18/0.93 dependent: clear(print_new_demod).
% 0.18/0.93 dependent: clear(print_back_demod).
% 0.18/0.93 dependent: clear(print_back_sub).
% 0.18/0.93 dependent: set(control_memory).
% 0.18/0.93 dependent: assign(max_mem, 12000).
% 0.18/0.93 dependent: assign(pick_given_ratio, 4).
% 0.18/0.93 dependent: assign(stats_level, 1).
% 0.18/0.93 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.93 dependent: assign(sos_limit, 5000).
% 0.18/0.93 dependent: assign(max_weight, 60).
% 0.18/0.93 clear(print_given).
% 0.18/0.93
% 0.18/0.93 formula_list(usable).
% 0.18/0.93
% 0.18/0.93 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=7.
% 0.18/0.93
% 0.18/0.93 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.93 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.93 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.93 clauses in usable.
% 0.18/0.93
% 0.18/0.93 dependent: set(knuth_bendix).
% 0.18/0.93 dependent: set(para_from).
% 0.18/0.93 dependent: set(para_into).
% 0.18/0.93 dependent: clear(para_from_right).
% 0.18/0.93 dependent: clear(para_into_right).
% 0.18/0.93 dependent: set(para_from_vars).
% 0.18/0.93 dependent: set(eq_units_both_ways).
% 0.18/0.93 dependent: set(dynamic_demod_all).
% 0.18/0.93 dependent: set(dynamic_demod).
% 0.18/0.93 dependent: set(order_eq).
% 0.18/0.93 dependent: set(back_demod).
% 0.18/0.93 dependent: set(lrpo).
% 0.18/0.93 dependent: set(hyper_res).
% 0.18/0.93 dependent: set(unit_deletion).
% 0.18/0.93 dependent: set(factor).
% 0.18/0.93
% 0.18/0.93 There is a clause for symmetry of equality, so it is
% 0.18/0.93 assumed that equality is fully axiomatized; therefore,
% 0.18/0.93 paramodulation is disabled.
% 0.18/0.93
% 0.18/0.93 dependent: clear(para_from).
% 0.18/0.93 dependent: clear(para_into).
% 0.18/0.93
% 0.18/0.93 ------------> process usable:
% 0.18/0.93 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 16 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 17 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 12 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(C),B)|A=C.
% 0.18/0.93 Following clause subsumed by 13 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(C),B)|A=C.
% 0.18/0.93 Following clause subsumed by 14 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 0.18/0.93 Following clause subsumed by 15 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 16 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 17 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 0.18/0.93 Following clause subsumed by 28 during input processing: 0 [] {-} A=B|C=D|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.93 Following clause subsumed by 29 during input processing: 0 [] {-} A!=B|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.93 Following clause subsumed by 30 during input processing: 0 [] {-} A!=B|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(D),B))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(C),B)),hAPP_int_int(times_times_int(D),A)).
% 0.18/0.93 Following clause subsumed by 31 during input processing: 0 [] {-} A=B|C=D|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.93 Following clause subsumed by 32 during input processing: 0 [] {-} A!=B|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.93 Following clause subsumed by 33 during input processing: 0 [] {-} A!=B|hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(D),B))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(C),B)),hAPP_real_real(times_times_real(D),A)).
% 0.18/0.93 Following clause subsumed by 34 during input processing: 0 [] {-} A=B|C=D|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.93 Following clause subsumed by 35 during input processing: 0 [] {-} A!=B|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.93 Following clause subsumed by 36 during input processing: 0 [] {-} A!=B|hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(D),B))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),hAPP_nat_nat(times_times_nat(D),A)).
% 0.18/0.93 Following clause subsumed by 37 during input processing: 0 [] {-} product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 0.18/0.93 Following clause subsumed by 38 during input processing: 0 [] {-} product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 0.18/0.93 Following clause subsumed by 39 during input processing: 0 [] {-} produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 0.18/0.93 Following clause subsumed by 40 during input processing: 0 [] {-} produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 0.18/0.93 Following clause subsumed by 54 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.93 Following clause subsumed by 55 during input processing: 0 [] {-} hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.93 Following clause subsumed by 113 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B)).
% 0.18/0.93 Following clause subsumed by 77 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 0.18/0.93 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 0.18/0.93 Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 0.18/0.93 Following clause subsumed by 127 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.93 Following clause subsumed by 129 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 0.18/0.93 Following clause subsumed by 131 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 0.18/0.93 Following clause subsumed by 133 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 0.18/0.93 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.18/0.93 Following clause subsumed by 124 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.18/0.93 Following clause subsumed by 126 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.18/0.93 Following clause subsumed by 128 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.93 Following clause subsumed by 130 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.18/0.93 Following clause subsumed by 132 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.93 Following clause subsumed by 142 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 0.18/0.93 Following clause subsumed by 144 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 0.18/0.93 Following clause subsumed by 146 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.93 Following clause subsumed by 148 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 0.18/0.93 Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 0.18/0.93 Following clause subsumed by 152 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 0.18/0.93 Following clause subsumed by 141 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.18/0.93 Following clause subsumed by 143 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 0.18/0.93 Following clause subsumed by 145 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.18/0.93 Following clause subsumed by 147 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.18/0.93 Following clause subsumed by 149 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.18/0.93 Following clause subsumed by 151 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.93 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 0.18/0.93 Following clause subsumed by 148 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 0.18/0.93 Following clause subsumed by 72 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.93 Following clause subsumed by 73 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.93 Following clause subsumed by 72 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.93 Following clause subsumed by 73 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.93 Following clause subsumed by 163 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.18/0.93 Following clause subsumed by 164 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 0.18/0.93 Following clause subsumed by 165 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 0.18/0.93 Following clause subsumed by 160 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.18/0.93 Following clause subsumed by 161 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.18/0.93 Following clause subsumed by 162 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 172 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 104 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 105 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 108 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 109 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 177 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.18/0.93 Following clause subsumed by 178 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 180 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B)).
% 0.18/0.93 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 177 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 178 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 180 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 183 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 177 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|A=B.
% 0.18/0.93 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|A=B.
% 0.18/0.93 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|A=B.
% 0.18/0.93 Following clause subsumed by 176 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.18/0.93 Following clause subsumed by 177 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|B=A.
% 0.18/0.93 Following clause subsumed by 176 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,C),B)).
% 0.18/0.93 Following clause subsumed by 198 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,C),B)).
% 0.18/0.93 Following clause subsumed by 199 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B)).
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 204 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 206 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|B!=A.
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 203 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=A.
% 0.18/0.93 Following clause subsumed by 205 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|B!=A.
% 0.18/0.93 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|hBOOL(C).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|hBOOL(C).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|hBOOL(C).
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 223 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.18/0.93 Following clause subsumed by 224 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 0.18/0.93 Following clause subsumed by 225 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),B)).
% 0.18/0.93 Following clause subsumed by 208 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 209 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 210 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 226 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 227 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 228 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 172 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 175 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 173 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B)).
% 0.18/0.93 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 172 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.93 Following clause subsumed by 226 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.18/0.93 Following clause subsumed by 173 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B)).
% 0.18/0.93 Following clause subsumed by 227 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A)).
% 0.18/0.93 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 228 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 172 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 178 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 173 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 0.18/0.93 Following clause subsumed by 180 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 174 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 178 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 180 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.18/0.93 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.18/0.93 Following clause subsumed by 114 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 115 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 0.18/0.93 Following clause subsumed by 116 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.93 Following clause subsumed by 166 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 167 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 168 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 226 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.93 Following clause subsumed by 227 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.93 Following clause subsumed by 228 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.93 Following clause subsumed by 117 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.93 Following clause subsumed by 280 during input processing: 0 [] {-} A=zero_zero_real|B=zero_zero_real|hAPP_real_real(times_times_real(A),B)!=zero_zero_real.
% 0.18/0.93 Following clause subsumed by 283 during input processing: 0 [] {-} A=zero_zero_int|B=zero_zero_int|hAPP_int_int(times_times_int(A),B)!=zero_zero_int.
% 0.18/0.93 Following clause subsumed by 286 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.18/0.93 Following clause subsumed by 280 during input processing: 0 [] {-} hAPP_real_real(times_times_real(A),B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 0.18/0.93 Following clause subsumed by 283 during input processing: 0 [] {-} hAPP_int_int(times_times_int(A),B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 0.18/0.93 Following clause subsumed by 300 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(A),A)!=zero_zero_real|A=zero_zero_real.
% 0.18/0.93 Following clause subsumed by 302 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(A),A)=zero_zero_real|A!=zero_zero_real.
% 0.18/0.93 Following clause subsumed by 304 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),A)!=zero_zero_int|A=zero_zero_int.
% 0.18/0.93 Following clause subsumed by 306 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),A)=zero_zero_int|A!=zero_zero_int.
% 0.18/0.93 Following clause subsumed by 308 during input processing: 0 [] {-} zero_zero_nat!=one_one_nat.
% 0.18/0.93 Following clause subsumed by 310 during input processing: 0 [] {-} zero_zero_real!=one_one_real.
% 0.18/0.93 Following clause subsumed by 312 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.18/0.93 Following clause subsumed by 314 during input processing: 0 [] {-} hAPP_real_real(minus_minus_real(A),B)!=zero_zero_real|A=B.
% 0.18/0.93 Following clause subsumed by 313 during input processing: 0 [] {-} hAPP_real_real(minus_minus_real(A),B)=zero_zero_real|A!=B.
% 0.18/0.93 Following clause subsumed by 316 during input processing: 0 [] {-} hAPP_int_int(minus_minus_int(A),B)!=zero_zero_int|A=B.
% 0.18/0.93 Following clause subsumed by 315 during input processing: 0 [] {-} hAPP_int_int(minus_minus_int(A),B)=zero_zero_int|A!=B.
% 0.18/0.93 Following clause subsumed by 312 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.18/0.93 Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.18/0.93 Following clause subsumed by 329 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.18/0.93 Following clause subsumed by 335 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.18/0.93 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.18/0.93 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(B),A)),zero_zero_real)).
% 0.18/0.93 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(B),A)),zero_zero_int)).
% 0.18/0.93 Following clause subsumed by 345 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.18/0.93 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.18/0.93 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.18/0.93 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.18/0.93 Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.18/0.93 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.18/0.93 Following clause subsumed by 350 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 0.18/0.93 Following clause subsumed by 351 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.18/0.93 Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.18/0.93 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.18/0.93 Following clause subsumed by 329 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.18/0.93 Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.18/0.93 Following clause subsumed by 344 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.18/0.93 Following clause subsumed by 345 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.18/0.93 Following clause subsumed by 335 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.18/0.93 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.18/0.93 Following clause subsumed by 341 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.18/0.94 Following clause subsumed by 342 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.18/0.94 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.18/0.94 Following clause subsumed by 386 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.94 Following clause subsumed by 381 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 0.18/0.94 Following clause subsumed by 387 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.18/0.94 Following clause subsumed by 396 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.18/0.94 Following clause subsumed by 397 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.18/0.94 Following clause subsumed by 398 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.18/0.94 Following clause subsumed by 368 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C))).
% 0.18/0.94 Following clause subsumed by 374 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C))).
% 0.18/0.94 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 0.18/0.94 Following clause subsumed by 386 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.18/0.94 Following clause subsumed by 410 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.18/0.94 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 0.18/0.94 Following clause subsumed by 386 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.18/0.94 Following clause subsumed by 369 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),C)),hAPP_real_real(times_times_real(A),C))).
% 0.18/0.94 Following clause subsumed by 375 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B),C)),hAPP_int_int(times_times_int(A),C))).
% 0.18/0.94 Following clause subsumed by 381 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C),B)),hAPP_real_real(times_times_real(C),A))).
% 0.18/0.94 Following clause subsumed by 387 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),B)),hAPP_int_int(times_times_int(C),A))).
% 0.18/0.94 Following clause subsumed by 386 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.18/0.94 Following clause subsumed by 433 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 0.18/0.94 Following clause subsumed by 329 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.18/0.94 Following clause subsumed by 401 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 0.18/0.94 Following clause subsumed by 208 during input processing: 0 [] {-} A!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(B),C)),D)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),D))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,D),zero_zero_int))|hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),product_Pair_int_int(C,D))).
% 0.18/0.94 Following clause subsumed by 474 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|nat_tsub(B,A)=hAPP_int_int(minus_minus_int(B),A).
% 0.18/0.94 Following clause subsumed by 150 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 0.18/0.94 Following clause subsumed by 198 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 0.18/0.94 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A))|A=B.
% 0.18/0.94 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 0.18/0.94 Following clause subsumed by 173 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 0.18/0.94 Following clause subsumed by 180 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A!=B.
% 0.18/0.94 Following clause subsumed by 173 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B)).
% 0.18/0.94 Following clause subsumed by 204 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 0.18/0.94 Following clause subsumed by 115 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A=B.
% 0.18/0.94 Following clause subsumed by 310 during input processing: 0 [] {-} zero_zero_real!=one_one_real.
% 0.18/0.94 Following clause subsumed by 368 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.18/0.94 Following clause subsumed by 391 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.18/0.94 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C))).
% 0.18/0.94 Following clause subsumed by 286 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 540 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=zero_zero_nat|A!=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 547 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C|A=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 549 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 0.18/0.94 Following clause subsumed by 548 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|A!=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.94 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.18/0.94 Following clause subsumed by 202 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.18/0.94 Following clause subsumed by 206 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 207 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.94 Following clause subsumed by 202 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.18/0.94 Following clause subsumed by 14 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 0.18/0.94 Following clause subsumed by 20 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(C),B)|A!=C.
% 0.18/0.94 Following clause subsumed by 17 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 0.18/0.94 Following clause subsumed by 23 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(A),C)|B!=C.
% 0.18/0.94 Following clause subsumed by 557 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.94 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 199 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.18/0.94 Following clause subsumed by 185 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A))|A=B.
% 0.18/0.94 Following clause subsumed by 567 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 0.18/0.94 Following clause subsumed by 569 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 0.18/0.94 Following clause subsumed by 571 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.18/0.94 Following clause subsumed by 542 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.18/0.94 Following clause subsumed by 207 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.18/0.94 Following clause subsumed by 542 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.18/0.94 Following clause subsumed by 410 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.18/0.94 Following clause subsumed by 409 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 0.18/0.94 Following clause subsumed by 410 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.94 Following clause subsumed by 549 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 0.18/0.94 Following clause subsumed by 409 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.18/0.94 Following clause subsumed by 410 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.94 Following clause subsumed by 390 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.18/0.94 Following clause subsumed by 288 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 588 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(minus_minus_nat(A),B)=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.18/0.94 Following clause subsumed by 132 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.94 Following clause subsumed by 133 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.94 Following clause subsumed by 127 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.94 Following clause subsumed by 136 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 0.18/0.94 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 183 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.18/0.94 Following clause subsumed by 174 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.18/0.94 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.94 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.94 Following clause subsumed by 116 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.18/0.94 Following clause subsumed by 609 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(C),B)),A)=hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(minus_minus_nat(B),A)).
% 0.18/0.95 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.18/0.95 Following clause subsumed by 629 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 0.18/0.95 Following clause subsumed by 146 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.95 Following clause subsumed by 151 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 152 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 637 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 0.18/0.95 Following clause subsumed by 638 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|B!=hAPP_nat_nat(plus_plus_nat(C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 0.18/0.95 Following clause subsumed by 592 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.18/0.95 Following clause subsumed by 593 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.18/0.95 Following clause subsumed by 564 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 565 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.18/0.95 Following clause subsumed by 648 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 564 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 634 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|B!=hAPP_nat_nat(plus_plus_nat(A),C).
% 0.18/0.95 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C.
% 0.18/0.95 Following clause subsumed by 567 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 0.18/0.95 Following clause subsumed by 569 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 0.18/0.95 Following clause subsumed by 571 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.18/0.95 Following clause subsumed by 692 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),natfloor(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(real_nat,B)),A)).
% 0.18/0.95 Following clause subsumed by 707 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,natceiling(A)),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),hAPP_nat_real(real_nat,B))).
% 0.18/0.95 Following clause subsumed by 630 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 0.18/0.95 Following clause subsumed by 631 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.95 Following clause subsumed by 593 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 0.18/0.95 Following clause subsumed by 592 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(B),C))).
% 0.18/0.95 Following clause subsumed by 174 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 759 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),hAPP_int_real(real_int,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,archim856651990g_real(A)),B)).
% 0.18/0.95 Following clause subsumed by 758 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,archim856651990g_real(A)),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),hAPP_int_real(real_int,B))).
% 0.18/0.95 Following clause subsumed by 770 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),archim1246769320r_real(B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(real_int,A)),B)).
% 0.18/0.95 Following clause subsumed by 771 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),archim1246769320r_real(B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(real_int,A)),B)).
% 0.18/0.95 Following clause subsumed by 791 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,A)),hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,B)),one_one_real)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.95 Following clause subsumed by 815 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 816 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 822 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 823 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 841 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 0.18/0.95 Following clause subsumed by 842 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 0.18/0.95 Following clause subsumed by 200 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 0.18/0.95 Following clause subsumed by 856 during input processing: 0 [] {-} number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.18/0.95 Following clause subsumed by 858 during input processing: 0 [] {-} number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.18/0.95 Following clause subsumed by 877 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,zero_zero_nat)))|A!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 883 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|A=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 884 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|A=hAPP_nat_nat(suc,zero_zero_nat)|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.18/0.95 Following clause subsumed by 885 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|A=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 886 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|B=hAPP_nat_nat(suc,zero_zero_nat).
% 0.18/0.95 Following clause subsumed by 887 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=hAPP_nat_nat(suc,zero_zero_nat)|B!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 888 during input processing: 0 [flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(suc,zero_zero_nat)|A!=zero_zero_nat|B!=hAPP_nat_nat(suc,zero_zero_nat).
% 0.18/0.95 Following clause subsumed by 896 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 895 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 898 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.18/0.95 Following clause subsumed by 895 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B)).
% 0.18/0.95 Following clause subsumed by 896 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(suc,A)),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 581 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 564 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.95 Following clause subsumed by 905 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=hAPP_nat_nat(suc,B).
% 0.18/0.95 Following clause subsumed by 906 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 183 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),hAPP_nat_nat(suc,B)))|A!=hAPP_nat_nat(suc,B).
% 0.18/0.95 Following clause subsumed by 912 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 912 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 912 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 912 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 912 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 0.18/0.95 Following clause subsumed by 873 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 914 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A=B.
% 0.18/0.95 Following clause subsumed by 916 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|A!=B.
% 0.18/0.95 Following clause subsumed by 915 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B))).
% 0.18/0.95 Following clause subsumed by 914 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.18/0.95 Following clause subsumed by 917 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,A)),hAPP_nat_nat(suc,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.95 Following clause subsumed by 923 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=A.
% 0.18/0.95 Following clause subsumed by 924 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 0.18/0.98 Following clause subsumed by 549 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),C)|B!=C.
% 0.18/0.98 Following clause subsumed by 948 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(A),one_one_nat))=A.
% 0.18/0.98 Following clause subsumed by 948 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))|hAPP_nat_nat(suc,hAPP_nat_nat(minus_minus_nat(number_number_of_nat(A)),one_one_nat))=number_number_of_nat(A).
% 0.18/0.98 175 back subsumes 169.
% 0.18/0.98 204 back subsumes 170.
% 0.18/0.98 206 back subsumes 171.
% 0.18/0.98 226 back subsumes 97.
% 0.18/0.98 227 back subsumes 98.
% 0.18/0.98 228 back subsumes 99.
% 0.18/0.98 431 back subsumes 419.
% 0.18/0.98 432 back subsumes 420.
% 0.18/0.98 433 back subsumes 421.
% 0.18/0.98 542 back subsumes 396.
% 0.18/0.98 542 back subsumes 393.
% 0.18/0.98 563 back subsumes 359.
% 0.18/0.98 563 back subsumes 356.
% 0.18/0.98 564 back subsumes 349.
% 0.18/0.98 565 back subsumes 346.
% 0.18/0.98 581 back subsumes 576.
% 0.18/0.98 582 back subsumes 402.
% 0.18/0.98 583 back subsumes 399.
% 0.18/0.98 584 back subsumes 422.
% 0.18/0.98 585 back subsumes 423.
% 0.18/0.98 586 back subsumes 424.
% 0.18/0.98 602 back subsumes 601.
% 0.18/0.98 630 back subsumes 431.
% 0.18/0.98 631 back subsumes 434.
% 0.18/0.98 916 back subsumes 900.
% 0.18/0.98 1022 back subsumes 1015.
% 0.18/0.98 1026 back subsumes 1019.
% 0.18/0.98
% 0.18/0.98 ------------> process sos:
% 0.18/0.98 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1162 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1202 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),B)),C)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1162 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1196 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.98 Following clause subsumed by 1201 during input processing: 0 [demod,1199] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1181 during input processing: 0 [] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(B),A).
% 0.18/0.98 Following clause subsumed by 1180 during input processing: 0 [demod,1168] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1180 during input processing: 0 [demod,1168] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1240 during input processing: 0 [demod,1170] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1242 during input processing: 0 [demod,1172] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.98 Following clause subsumed by 1180 during input processing: 0 [demod,1168] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),hAPP_int_int(times_times_int(C),D)))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),hAPP_int_int(times_times_int(C),D))).
% 0.18/0.98 Following clause subsumed by 1240 during input processing: 0 [demod,1170] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),hAPP_real_real(times_times_real(C),D)))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),hAPP_real_real(times_times_real(C),D))).
% 0.18/0.98 Following clause subsumed by 1242 during input processing: 0 [demod,1172] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(times_times_nat(C),D)))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(times_times_nat(C),D))).
% 0.18/0.98 Following clause subsumed by 1185 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 0.18/0.98 Following clause subsumed by 1184 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 0.18/0.98 Following clause subsumed by 1183 during input processing: 0 [demod,1174] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1183 during input processing: 0 [demod,1174] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1266 during input processing: 0 [demod,1176] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1268 during input processing: 0 [demod,1178] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1303] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1305] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1301] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1303] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1305] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1307] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1309] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1311] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1307] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1309] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1311] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1301] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1307] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1161] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1199] {-} hAPP_real_real(times_times_real(number267125858f_real(A)),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(times_times_real(number267125858f_real(A)),hAPP_real_real(plus_plus_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1221] {-} hAPP_nat_nat(times_times_nat(number_number_of_nat(A)),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(times_times_nat(number_number_of_nat(A)),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/0.98 Following clause subsumed by 1162 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_int(C))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),number_number_of_int(C))),hAPP_int_int(times_times_int(B),number_number_of_int(C))).
% 0.18/0.98 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),number267125858f_real(C))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),number267125858f_real(C))),hAPP_real_real(times_times_real(B),number267125858f_real(C))).
% 0.18/0.98 Following clause subsumed by 1196 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),number_number_of_nat(C))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),number_number_of_nat(C))),hAPP_nat_nat(times_times_nat(B),number_number_of_nat(C))).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1157] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(minus_minus_int(B),C))=hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(minus_minus_int(B),C)).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1205] {-} hAPP_real_real(times_times_real(number267125858f_real(A)),hAPP_real_real(minus_minus_real(B),C))=hAPP_real_real(times_times_real(number267125858f_real(A)),hAPP_real_real(minus_minus_real(B),C)).
% 0.18/0.98 Following clause subsumed by 1158 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),B)),number_number_of_int(C))=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A),number_number_of_int(C))),hAPP_int_int(times_times_int(B),number_number_of_int(C))).
% 0.18/0.98 Following clause subsumed by 1202 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),B)),number267125858f_real(C))=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A),number267125858f_real(C))),hAPP_real_real(times_times_real(B),number267125858f_real(C))).
% 0.18/0.98 Following clause subsumed by 1314 during input processing: 0 [] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(times_times_int(A),B)).
% 0.18/0.98 Following clause subsumed by 1315 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(plus_plus_int(A),B)).
% 0.18/0.98 Following clause subsumed by 1347 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),A)).
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1352 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1352 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1353 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1354 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|A=B.
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|A=B.
% 0.18/0.98 Following clause subsumed by 1355 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|A=B.
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1355 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))|B=A.
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))|B=A.
% 0.18/0.98 Following clause subsumed by 1355 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A))|B=A.
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1355 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1298 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1299 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1355 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1356 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1357 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1356 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1357 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1356 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1357 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1356 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 0.18/0.98 Following clause subsumed by 1357 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 0.18/0.98 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1363] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1365] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1367] {-} zero_zero_int=zero_zero_int.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1365] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1365] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1369] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1371] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1373] {-} zero_zero_int=zero_zero_int.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1371] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1371] {-} zero_zero_real=zero_zero_real.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1375] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1377] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1379] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1375] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1377] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1379] {-} A=A.
% 0.18/0.98 Following clause subsumed by 1313 during input processing: 0 [demod,1381] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1383] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1385] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1381] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1383] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1385] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1379] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1385] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1347 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)).
% 0.18/0.99 Following clause subsumed by 1348 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),A)).
% 0.18/0.99 Following clause subsumed by 1353 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),A)).
% 0.18/0.99 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1170] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1234 during input processing: 0 [] {-} hAPP_real_real(times_times_real(A),B)=hAPP_real_real(times_times_real(B),A).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1303] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1235 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(B),A).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1172] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1363] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1369] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.99 Following clause subsumed by 1355 during input processing: 0 [factor_simp] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.99 Following clause subsumed by 1355 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.99 Following clause subsumed by 1355 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1178] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1264 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 0.18/0.99 Following clause subsumed by 1262 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1221] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1196 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1194] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),D)).
% 0.18/0.99 Following clause subsumed by 1349 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),A)).
% 0.18/0.99 Following clause subsumed by 1354 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),A)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1305] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1311] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1439 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1375] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1381] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1415 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.18/0.99 Following clause subsumed by 1415 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),natceiling(A))).
% 0.18/0.99 Following clause subsumed by 1415 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),natfloor(A))).
% 0.18/0.99 Following clause subsumed by 1538 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A))).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1543] {-} zero_zero_int=zero_zero_int.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1546] {-} one_one_int=one_one_int.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1549] {-} hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1549,1174] {-} hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,B)),C))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,B)),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1552] {-} hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1552] {-} hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(times_times_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1555] {-} real_nat=real_nat.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1558,1500] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,A).
% 0.18/0.99 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(B),C))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.99 Following clause subsumed by 1347 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1581,1351] {-} pls=pls.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1455,1505,1584] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.99 Following clause subsumed by 1347 during input processing: 0 [demod,1581,1351] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1627,1625] {-} hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(A),B))=hAPP_nat_nat(suc,hAPP_nat_nat(plus_plus_nat(A),B)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1606,1546] {-} one_one_int=one_one_int.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [demod,1606,1558,1546,1508] {-} one_one_real=one_one_real.
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [] {-} A=A.
% 0.18/0.99 Following clause subsumed by 1214 during input processing: 0 [copy,1162,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),B))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),C)),B).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1180,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.99 Following clause subsumed by 1181 during input processing: 0 [copy,1181,flip.1] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(B),A).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1183,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.18/0.99 Following clause subsumed by 1184 during input processing: 0 [copy,1184,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 0.18/0.99 Following clause subsumed by 1185 during input processing: 0 [copy,1185,flip.1] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 0.18/0.99 Following clause subsumed by 1215 during input processing: 0 [copy,1195,flip.1] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),B))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),C)),B).
% 0.18/0.99 Following clause subsumed by 1216 during input processing: 0 [copy,1196,flip.1] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),C)),B).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1201,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1207,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(minus_minus_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(minus_minus_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1162 during input processing: 0 [copy,1214,flip.1] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.18/0.99 Following clause subsumed by 1195 during input processing: 0 [copy,1215,flip.1] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1196 during input processing: 0 [copy,1216,flip.1] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1218,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.18/0.99 Following clause subsumed by 1223 during input processing: 0 [copy,1223,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(C),D)))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),hAPP_int_int(plus_plus_int(B),D))).
% 0.18/0.99 Following clause subsumed by 1225 during input processing: 0 [copy,1225,flip.1] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(C),D)))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),hAPP_real_real(plus_plus_real(B),D))).
% 0.18/0.99 Following clause subsumed by 1227 during input processing: 0 [copy,1227,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(C),D)))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(plus_plus_nat(B),D))).
% 0.18/0.99 Following clause subsumed by 1229 during input processing: 0 [copy,1229,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),B)).
% 0.18/0.99 Following clause subsumed by 1231 during input processing: 0 [copy,1231,flip.1] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),B)).
% 0.18/0.99 Following clause subsumed by 1233 during input processing: 0 [copy,1233,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),B)).
% 0.18/0.99 Following clause subsumed by 1234 during input processing: 0 [copy,1234,flip.1] {-} hAPP_real_real(times_times_real(A),B)=hAPP_real_real(times_times_real(B),A).
% 0.18/0.99 Following clause subsumed by 1235 during input processing: 0 [copy,1235,flip.1] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(B),A).
% 0.18/0.99 Following clause subsumed by 1236 during input processing: 0 [copy,1236,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(B),hAPP_int_int(times_times_int(A),C)).
% 0.18/0.99 Following clause subsumed by 1237 during input processing: 0 [copy,1237,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(B),hAPP_real_real(times_times_real(A),C)).
% 0.18/0.99 Following clause subsumed by 1238 during input processing: 0 [copy,1238,flip.1] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(times_times_nat(A),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1240,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C)).
% 0.18/0.99 Following clause subsumed by 1313 during input processing: 0 [copy,1242,flip.1] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/0.99 Following clause subsumed by 1244 during input processing: 0 [copy,1244,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(C),B)).
% 0.18/0.99 Following clause subsumed by 1246 during input processing: 0 [copy,1246,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(C),B)).
% 0.18/0.99 Following clause subsumed by 1248 during input processing: 0 [copy,1248,flip.1] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(C),B)).
% 0.18/0.99 Following clause subsumed by 1256 during input processing: 0 [copy,1256,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),hAPP_int_int(times_times_int(C),D)))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(C),hAPP_int_int(times_times_int(B),D))).
% 0.18/0.99 Following clause subsumed by 1258 during input processing: 0 [copy,1258,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),hAPP_real_real(times_times_real(C),D)))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(C),hAPP_real_real(times_times_real(B),D))).
% 0.18/0.99 Following clause subsumed by 1260 during input processing: 0 [copy,1260,flip.1] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(times_times_nat(C),D)))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(C),hAPP_nat_nat(times_times_nat(B),D))).
% 0.18/0.99 Following clause subsumed by 1261 during input processing: 0 [copy,1261,flip.1] {-} hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(B),A).
% 0.18/0.99 Following clause subsumed by 1262 during input processing: 0 [copy,1262,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 0.18/0.99 Following clause subsumed by 1263 during input processing: 0 [copy,1263,flip.1] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(A),C)).
% 0.18/0.99 Following clause subsumed by 1264 during input processing: 0 [copy,1264,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1266,flip.1] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1268,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1313,flip.1] {-} A=A.
% 0.18/1.03 1313 back subsumes 1268.
% 0.18/1.03 1313 back subsumes 1266.
% 0.18/1.03 1313 back subsumes 1242.
% 0.18/1.03 1313 back subsumes 1240.
% 0.18/1.03 1313 back subsumes 1218.
% 0.18/1.03 1313 back subsumes 1207.
% 0.18/1.03 1313 back subsumes 1201.
% 0.18/1.03 1313 back subsumes 1183.
% 0.18/1.03 1313 back subsumes 1180.
% 0.18/1.03 1313 back subsumes 1136.
% 0.18/1.03 1313 back subsumes 1135.
% 0.18/1.03 1313 back subsumes 1121.
% 0.18/1.03 1313 back subsumes 1120.
% 0.18/1.03 1313 back subsumes 1107.
% 0.18/1.03 1313 back subsumes 1106.
% 0.18/1.03 1313 back subsumes 1104.
% 0.18/1.03 1313 back subsumes 1081.
% 0.18/1.03 1313 back subsumes 1079.
% 0.18/1.03 1313 back subsumes 974.
% 0.18/1.03 1313 back subsumes 973.
% 0.18/1.03 1313 back subsumes 972.
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1314,flip.1,demod,1351,1351,1351] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(A),B).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1315,flip.1,demod,1351,1351,1351] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),B).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1316,flip.1,demod,1351,1351,1351] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(A),B).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1317,flip.1,demod,1505,1505,1511,1505] {-} hAPP_int_real(real_int,hAPP_int_int(times_times_int(A),B))=hAPP_int_real(real_int,hAPP_int_int(times_times_int(A),B)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1318,flip.1,demod,1505,1505,1505,1511] {-} hAPP_int_real(real_int,hAPP_int_int(times_times_int(A),B))=hAPP_int_real(real_int,hAPP_int_int(times_times_int(A),B)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1325,flip.1,demod,1351,1351,1351] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),B).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1326,flip.1,demod,1505,1505,1496,1505] {-} hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B))=hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B)).
% 0.18/1.03 Following clause subsumed by 1313 during input processing: 0 [copy,1327,flip.1,demod,1505,1505,1505,1496] {-} hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B))=hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B)).
% 0.18/1.03 Following clause subsumed by 1608 during input processing: 0 [copy,1343,flip.1,demod,1616] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(times_times_nat(A),B)).
% 0.18/1.03 1347 back subsumes 1002.
% 0.18/1.03 1347 back subsumes 999.
% 0.18/1.03 1347 back subsumes 991.
% 0.18/1.03 1347 back subsumes 990.
% 0.18/1.03 1347 back subsumes 978.
% 0.18/1.03 1347 back subsumes 977.
% 0.18/1.03 1347 back subsumes 976.
% 0.18/1.03 1347 back subsumes 975.
% 0.18/1.03 1348 back subsumes 997.
% 0.18/1.03 1348 back subsumes 994.
% 0.18/1.03 1348 back subsumes 987.
% 0.18/1.03 1348 back subsumes 986.
% 0.18/1.03 1349 back subsumes 1109.
% 0.18/1.03 1352 back subsumes 340.
% 0.18/1.03 1352 back subsumes 337.
% 0.18/1.03 1352 back subsumes 328.
% 0.18/1.03 1352 back subsumes 325.
% 0.18/1.03 1352 back subsumes 257.
% 0.18/1.03 1353 back subsumes 334.
% 0.18/1.03 1353 back subsumes 331.
% 0.18/1.03 1353 back subsumes 322.
% 0.18/1.03 1353 back subsumes 319.
% 0.18/1.03 1356 back subsumes 229.
% 0.18/1.03 1357 back subsumes 1296.
% 0.18/1.03 1357 back subsumes 230.
% 0.18/1.03 1358 back subsumes 1297.
% 0.18/1.03 1358 back subsumes 231.
% 0.18/1.03 1399 back subsumes 989.
% 0.18/1.03 1399 back subsumes 988.
% 0.18/1.03 1400 back subsumes 993.
% 0.18/1.03 1400 back subsumes 992.
% 0.18/1.03 1415 back subsumes 1004.
% 0.18/1.03 1415 back subsumes 343.
% 0.18/1.03 Following clause subsumed by 1420 during input processing: 0 [copy,1420,flip.1] {-} hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(A),B)),C)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(A),C)),B).
% 0.18/1.03 1538 back subsumes 1122.
% 0.18/1.03 Following clause subsumed by 1158 during input processing: 0 [copy,1651,flip.1] {-} hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),B)),C)=hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.18/1.03 Following clause subsumed by 1202 during input processing: 0 [copy,1662,flip.1] {-} hAPP_real_real(times_times_real(hAPP_real_real(minus_minus_real(A),B)),C)=hAPP_real_real(minus_minus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.18/1.03 Following clause subsumed by 1209 during input processing: 0 [copy,1664,flip.1] {-} hAPP_real_real(minus_minus_real(hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(minus_minus_real(A),C)),hAPP_real_real(minus_minus_real(B),D)).
% 0.18/1.03 Following clause subsumed by 1250 during input processing: 0 [copy,1665,flip.1] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),hAPP_int_int(times_times_int(C),D)))=hAPP_int_int(times_times_int(C),hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),D))).
% 0.18/1.03 Following clause subsumed by 1252 during input processing: 0 [copy,1666,flip.1] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),hAPP_real_real(times_times_real(C),D)))=hAPP_real_real(times_times_real(C),hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),D))).
% 0.18/1.03 Following clause subsumed by 1254 during input processing: 0 [copy,1667,flip.1] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),hAPP_nat_nat(times_times_nat(C),D)))=hAPP_nat_nat(times_times_nat(C),hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),D))).
% 0.18/1.03 Following clause subsumed by 1764 during input processing: 0 [copy,1670,flip.1] {-} hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,A)),hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,B)),C))=hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B))),C).
% 0.18/1.03 Following clause subsumed by 1338 during input processing: 0 [copy,1671,flip.1] {-} hAPP_int_int(plus_plus_int(A),A)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(one_one_int),one_one_int)),A).
% 0.18/1.03 Following clause subsumed by 1339 during input processing: 0 [copy,1672,flip.1] {-} hAPP_real_real(plus_plus_real(A),A)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(one_one_real),one_one_real)),A).
% 0.18/1.03 Following clause subsumed by 2029 during input processing: 0 [copy,1673,flip.1] {-} hAPP_nat_nat(plus_plus_nat(A),A)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,one_one_nat)),A).
% 0.18/1.03 Following clause subsumed by 1341 during input processing: 0 [copy,1674,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(times_times_int(B),A))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(B),one_one_int)),A).
% 0.18/1.03 Following clause subsumed by 1342 during input processing: 0 [copy,1675,flip.1] {-} hAPP_real_real(plus_plus_real(A),hAPP_real_real(times_times_real(B),A))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(B),one_one_real)),A).
% 0.18/1.03 Following clause subsumed by 1344 during input processing: 0 [copy,1676,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),B)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),one_one_int)),B).
% 0.18/1.03 Following clause subsumed by 1345 during input processing: 0 [copy,1677,flip.1] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),B)=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),one_one_real)),B).
% 0.18/1.03 Following clause subsumed by 2030 during input processing: 0 [copy,1678,flip.1] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),B)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B).
% 0.18/1.03 1704 back subsumes 273.
% 0.18/1.03 1704 back subsumes 272.
% 0.18/1.03 1704 back subsumes 271.
% 0.18/1.03 1704 back subsumes 270.
% 0.18/1.03 1704 back subsumes 88.
% 0.18/1.03 1704 back subsumes 87.
% 0.18/1.03 1704 back subsumes 86.
% 0.18/1.03 1704 back subsumes 85.
% 0.18/1.03 1704 back subsumes 84.
% 0.18/1.03 1704 back subsumes 83.
% 0.18/1.03 Following clause subsumed by 1817 during input processing: 0 [copy,1732,flip.1] {-} posDivAlg(pls,A)=product_Pair_int_int(pls,pls).
% 0.18/1.04 Following clause subsumed by 1419 during input processing: 0 [copy,1733,flip.1] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(minus_minus_nat(A),B)),C)=hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.18/1.04 Following clause subsumed by 1431 during input processing: 0 [copy,1734,flip.1] {-} hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(minus_minus_nat(A),B)),C)=hAPP_nat_nat(minus_minus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.18/1.04 Following clause subsumed by 1670 during input processing: 0 [copy,1764,flip.1] {-} hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,hAPP_int_int(plus_plus_int(A),B))),C)=hAPP_real_real(plus_plus_real(hAPP_int_real(real_int,A)),hAPP_real_real(minus_minus_real(hAPP_int_real(real_int,B)),C)).
% 0.18/1.04 Following clause subsumed by 1559 during input processing: 0 [copy,1810,flip.1] {-} nat_tsub(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(minus_minus_nat(A),B)).
% 0.18/1.04 Following clause subsumed by 1732 during input processing: 0 [copy,1817,flip.1] {-} product_Pair_int_int(pls,pls)=posDivAlg(pls,A).
% 0.18/1.04 1825 back subsumes 1714.
% 0.18/1.04 1825 back subsumes 1713.
% 0.18/1.04 1976 back subsumes 1710.
% 0.18/1.04 1976 back subsumes 1709.
% 0.18/1.04 Following clause subsumed by 1608 during input processing: 0 [copy,2028,flip.1] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(times_times_nat(A),B)).
% 0.18/1.04 Following clause subsumed by 1673 during input processing: 0 [copy,2029,flip.1] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,one_one_nat)),A)=hAPP_nat_nat(plus_plus_nat(A),A).
% 0.18/1.04 Following clause subsumed by 1678 during input processing: 0 [copy,2030,flip.1] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),B).
% 0.18/1.04 Following clause subsumed by 1638 during input processing: 0 [copy,2044,flip.1] {-} hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,A))=hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,A)).
% 0.18/1.04 Following clause subsumed by 2048 during input processing: 0 [copy,2045,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(C),D)),hAPP_int_int(times_times_int(E),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(F),B)),hAPP_int_int(times_times_int(G),D)))))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),hAPP_int_int(times_times_int(E),F))),B)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(C),hAPP_int_int(times_times_int(E),G))),D)).
% 0.18/1.04 Following clause subsumed by 2047 during input processing: 0 [copy,2046,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A),B)),hAPP_int_int(minus_minus_int(C),D))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(minus_minus_int(C),hAPP_int_int(plus_plus_int(B),D))).
% 0.18/1.04 Following clause subsumed by 2046 during input processing: 0 [copy,2047,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(minus_minus_int(B),hAPP_int_int(plus_plus_int(C),D)))=hAPP_int_int(plus_plus_int(hAPP_int_int(minus_minus_int(A),C)),hAPP_int_int(minus_minus_int(B),D)).
% 0.18/1.04 Following clause subsumed by 2045 during input processing: 0 [copy,2048,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(A),hAPP_int_int(times_times_int(B),C))),D)),hAPP_int_int(times_times_int(hAPP_int_int(minus_minus_int(E),hAPP_int_int(times_times_int(B),F))),G))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(minus_minus_int(hAPP_int_int(times_times_int(E),G)),hAPP_int_int(times_times_int(B),hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(C),D)),hAPP_int_int(times_times_int(F),G))))).
% 0.18/1.04
% 0.18/1.04 ======= end of input processing =======
% 0.18/1.04
% 0.18/1.04 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/1.04 bug in Otter. Please send copy of the input file to
% 0.18/1.04 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/1.04 using, and send any other info that might be useful.
% 0.18/1.04
% 0.18/1.04
% 0.18/1.04 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/1.04 bug in Otter. Please send copy of the input file to
% 0.18/1.04 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/1.04 using, and send any other info that might be useful.
% 0.18/1.04
% 0.18/1.04
% 0.18/1.04 The job finished Thu Jul 7 01:51:40 2022
%------------------------------------------------------------------------------