TSTP Solution File: NUM923+2 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM923+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n017.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 14:23:03 EDT 2022
% Result : Unknown 0.18s 0.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM923+2 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.12 % Command : sos-script %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 19:53:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.40 ----- Otter 3.2, August 2001 -----
% 0.18/0.40 The process was started by sandbox on n017.cluster.edu,
% 0.18/0.40 Wed Jul 6 19:53:44 2022
% 0.18/0.40 The command was "./sos". The process ID is 27643.
% 0.18/0.40
% 0.18/0.40 set(prolog_style_variables).
% 0.18/0.40 set(auto).
% 0.18/0.40 dependent: set(auto1).
% 0.18/0.40 dependent: set(process_input).
% 0.18/0.40 dependent: clear(print_kept).
% 0.18/0.40 dependent: clear(print_new_demod).
% 0.18/0.40 dependent: clear(print_back_demod).
% 0.18/0.40 dependent: clear(print_back_sub).
% 0.18/0.40 dependent: set(control_memory).
% 0.18/0.40 dependent: assign(max_mem, 12000).
% 0.18/0.40 dependent: assign(pick_given_ratio, 4).
% 0.18/0.40 dependent: assign(stats_level, 1).
% 0.18/0.40 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.40 dependent: assign(sos_limit, 5000).
% 0.18/0.40 dependent: assign(max_weight, 60).
% 0.18/0.40 clear(print_given).
% 0.18/0.40
% 0.18/0.40 formula_list(usable).
% 0.18/0.40
% 0.18/0.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=7.
% 0.18/0.40
% 0.18/0.40 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.40 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.40 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.40 clauses in usable.
% 0.18/0.40
% 0.18/0.40 dependent: set(knuth_bendix).
% 0.18/0.40 dependent: set(para_from).
% 0.18/0.40 dependent: set(para_into).
% 0.18/0.40 dependent: clear(para_from_right).
% 0.18/0.40 dependent: clear(para_into_right).
% 0.18/0.40 dependent: set(para_from_vars).
% 0.18/0.40 dependent: set(eq_units_both_ways).
% 0.18/0.40 dependent: set(dynamic_demod_all).
% 0.18/0.40 dependent: set(dynamic_demod).
% 0.18/0.40 dependent: set(order_eq).
% 0.18/0.40 dependent: set(back_demod).
% 0.18/0.40 dependent: set(lrpo).
% 0.18/0.40 dependent: set(hyper_res).
% 0.18/0.40 dependent: set(unit_deletion).
% 0.18/0.40 dependent: set(factor).
% 0.18/0.40
% 0.18/0.40 There is a clause for symmetry of equality, so it is
% 0.18/0.40 assumed that equality is fully axiomatized; therefore,
% 0.18/0.40 paramodulation is disabled.
% 0.18/0.40
% 0.18/0.40 dependent: clear(para_from).
% 0.18/0.40 dependent: clear(para_into).
% 0.18/0.40
% 0.18/0.40 ------------> process usable:
% 0.18/0.40 Following clause subsumed by 10 during input processing: 0 [] {-} plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 0.18/0.40 Following clause subsumed by 11 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.18/0.40 Following clause subsumed by 8 during input processing: 0 [] {-} plus_plus_int(A,B)!=plus_plus_int(C,B)|A=C.
% 0.18/0.40 Following clause subsumed by 9 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 0.18/0.40 Following clause subsumed by 10 during input processing: 0 [] {-} plus_plus_int(A,B)!=plus_plus_int(A,C)|B=C.
% 0.18/0.40 Following clause subsumed by 11 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.18/0.40 Following clause subsumed by 18 during input processing: 0 [] {-} A=B|C=D|plus_plus_int(times_times_int(A,C),times_times_int(B,D))!=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 0.18/0.40 Following clause subsumed by 19 during input processing: 0 [] {-} A!=B|plus_plus_int(times_times_int(A,C),times_times_int(B,D))=plus_plus_int(times_times_int(A,D),times_times_int(B,C)).
% 0.18/0.40 Following clause subsumed by 20 during input processing: 0 [] {-} A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 0.18/0.40 Following clause subsumed by 21 during input processing: 0 [] {-} A=B|C=D|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 0.18/0.40 Following clause subsumed by 22 during input processing: 0 [] {-} A!=B|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 0.18/0.40 Following clause subsumed by 23 during input processing: 0 [] {-} A!=B|plus_plus_nat(times_times_nat(C,A),times_times_nat(D,B))=plus_plus_nat(times_times_nat(C,B),times_times_nat(D,A)).
% 0.18/0.40 Following clause subsumed by 24 during input processing: 0 [] {-} product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|A=C.
% 0.18/0.40 Following clause subsumed by 25 during input processing: 0 [] {-} product_Pair_int_int(A,B)!=product_Pair_int_int(C,D)|B=D.
% 0.18/0.40 Following clause subsumed by 26 during input processing: 0 [] {-} produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|A=C.
% 0.18/0.40 Following clause subsumed by 27 during input processing: 0 [] {-} produc282740534nt_int(A,B)!=produc282740534nt_int(C,D)|B=D.
% 0.18/0.40 Following clause subsumed by 56 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,plus_plus_int(A,one_one_int)),B)).
% 0.18/0.40 Following clause subsumed by 62 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,plus_plus_int(A,C)),plus_plus_int(B,D))).
% 0.18/0.40 Following clause subsumed by 71 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,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 0.18/0.40 Following clause subsumed by 73 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,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 0.18/0.40 Following clause subsumed by 75 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,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 0.18/0.40 Following clause subsumed by 77 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,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 0.18/0.40 Following clause subsumed by 70 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.18/0.40 Following clause subsumed by 72 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.18/0.40 Following clause subsumed by 74 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.40 Following clause subsumed by 76 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.40 Following clause subsumed by 83 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,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 0.18/0.40 Following clause subsumed by 85 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,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 0.18/0.40 Following clause subsumed by 87 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,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 0.18/0.40 Following clause subsumed by 89 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,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 0.18/0.40 Following clause subsumed by 82 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.18/0.40 Following clause subsumed by 84 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.18/0.40 Following clause subsumed by 86 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.18/0.40 Following clause subsumed by 88 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.40 Following clause subsumed by 71 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,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 0.18/0.40 Following clause subsumed by 87 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,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 0.18/0.40 Following clause subsumed by 94 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.40 Following clause subsumed by 95 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.40 Following clause subsumed by 94 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))|hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.40 Following clause subsumed by 40 during input processing: 0 [] {-} hBOOL(hAPP_P603027463t_bool(produc97574839t_bool(A,B),C))| -hBOOL(hAPP_P178748804t_bool(A,produc282740534nt_int(B,C))).
% 0.18/0.40 Following clause subsumed by 95 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))|hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.40 Following clause subsumed by 39 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(produc262399358t_bool(A,B),C))| -hBOOL(hAPP_P603027463t_bool(A,product_Pair_int_int(B,C))).
% 0.18/0.40 Following clause subsumed by 98 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)).
% 0.18/0.40 Following clause subsumed by 99 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)).
% 0.18/0.40 Following clause subsumed by 96 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)).
% 0.18/0.40 Following clause subsumed by 97 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)).
% 0.18/0.40 Following clause subsumed by 58 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)).
% 0.18/0.40 Following clause subsumed by 57 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)).
% 0.18/0.40 Following clause subsumed by 58 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.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 105 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)).
% 0.18/0.40 Following clause subsumed by 106 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.40 Following clause subsumed by 109 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.18/0.40 Following clause subsumed by 108 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.
% 0.18/0.40 Following clause subsumed by 106 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.
% 0.18/0.40 Following clause subsumed by 105 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.
% 0.18/0.40 Following clause subsumed by 109 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.
% 0.18/0.40 Following clause subsumed by 108 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.
% 0.18/0.40 Following clause subsumed by 105 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.
% 0.18/0.40 Following clause subsumed by 104 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)).
% 0.18/0.40 Following clause subsumed by 108 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.
% 0.18/0.40 Following clause subsumed by 105 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.
% 0.18/0.40 Following clause subsumed by 119 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)).
% 0.18/0.40 Following clause subsumed by 104 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)).
% 0.18/0.40 Following clause subsumed by 103 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.40 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 122 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.
% 0.18/0.40 Following clause subsumed by 103 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.
% 0.18/0.40 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 125 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)).
% 0.18/0.40 Following clause subsumed by 126 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)).
% 0.18/0.40 Following clause subsumed by 125 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)).
% 0.18/0.40 Following clause subsumed by 126 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)).
% 0.18/0.40 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.18/0.40 Following clause subsumed by 124 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|B!=A.
% 0.18/0.40 Following clause subsumed by 125 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).
% 0.18/0.40 Following clause subsumed by 126 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).
% 0.18/0.40 Following clause subsumed by 125 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)).
% 0.18/0.40 Following clause subsumed by 126 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)).
% 0.18/0.40 Following clause subsumed by 125 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)).
% 0.18/0.40 Following clause subsumed by 126 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)).
% 0.18/0.40 Following clause subsumed by 135 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)).
% 0.18/0.40 Following clause subsumed by 136 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)).
% 0.18/0.40 Following clause subsumed by 125 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)).
% 0.18/0.40 Following clause subsumed by 126 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)).
% 0.18/0.40 Following clause subsumed by 137 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)).
% 0.18/0.40 Following clause subsumed by 138 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)).
% 0.18/0.40 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 58 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.
% 0.18/0.40 Following clause subsumed by 102 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)).
% 0.18/0.40 Following clause subsumed by 103 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 139 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)).
% 0.18/0.40 Following clause subsumed by 137 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)).
% 0.18/0.40 Following clause subsumed by 102 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)).
% 0.18/0.40 Following clause subsumed by 138 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)).
% 0.18/0.40 Following clause subsumed by 58 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.
% 0.18/0.40 Following clause subsumed by 139 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)).
% 0.18/0.40 Following clause subsumed by 106 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 102 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)).
% 0.18/0.40 Following clause subsumed by 109 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A!=B.
% 0.18/0.40 Following clause subsumed by 58 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.
% 0.18/0.40 Following clause subsumed by 106 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.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 109 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.
% 0.18/0.40 Following clause subsumed by 58 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)).
% 0.18/0.40 Following clause subsumed by 57 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)).
% 0.18/0.40 Following clause subsumed by 100 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)).
% 0.18/0.40 Following clause subsumed by 101 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)).
% 0.18/0.40 Following clause subsumed by 137 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)).
% 0.18/0.40 Following clause subsumed by 138 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)).
% 0.18/0.40 Following clause subsumed by 139 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)).
% 0.18/0.40 Following clause subsumed by 102 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)).
% 0.18/0.40 Following clause subsumed by 58 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.
% 0.18/0.40 Following clause subsumed by 122 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.
% 0.18/0.40 Following clause subsumed by 57 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.
% 0.18/0.40 Following clause subsumed by 103 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.
% 0.18/0.40 Following clause subsumed by 68 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.18/0.40 Following clause subsumed by 167 during input processing: 0 [] {-} A=zero_zero_int|B=zero_zero_int|times_times_int(A,B)!=zero_zero_int.
% 0.18/0.40 Following clause subsumed by 170 during input processing: 0 [] {-} times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.18/0.40 Following clause subsumed by 167 during input processing: 0 [] {-} times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 0.18/0.40 Following clause subsumed by 180 during input processing: 0 [] {-} plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 0.18/0.40 Following clause subsumed by 182 during input processing: 0 [] {-} plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 0.18/0.40 Following clause subsumed by 188 during input processing: 0 [] {-} minus_minus_int(A,B)!=zero_zero_int|A=B.
% 0.18/0.40 Following clause subsumed by 187 during input processing: 0 [] {-} minus_minus_int(A,B)=zero_zero_int|A!=B.
% 0.18/0.40 Following clause subsumed by 190 during input processing: 0 [] {-} zero_zero_nat!=one_one_nat.
% 0.18/0.40 Following clause subsumed by 192 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.18/0.40 Following clause subsumed by 192 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.18/0.40 Following clause subsumed by 205 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,times_times_nat(C,A)),times_times_nat(C,B))).
% 0.18/0.40 Following clause subsumed by 206 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,times_times_int(C,A)),times_times_int(C,B))).
% 0.18/0.40 Following clause subsumed by 198 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),times_times_int(A,B))).
% 0.18/0.40 Following clause subsumed by 194 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,times_times_nat(A,B)),zero_zero_nat)).
% 0.18/0.40 Following clause subsumed by 196 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,times_times_int(A,B)),zero_zero_int)).
% 0.18/0.40 Following clause subsumed by 194 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,times_times_nat(B,A)),zero_zero_nat)).
% 0.18/0.40 Following clause subsumed by 196 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,times_times_int(B,A)),zero_zero_int)).
% 0.18/0.40 Following clause subsumed by 193 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,times_times_nat(A,B)),zero_zero_nat)).
% 0.18/0.40 Following clause subsumed by 195 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,times_times_int(A,B)),zero_zero_int)).
% 0.18/0.40 Following clause subsumed by 197 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),times_times_int(A,B))).
% 0.18/0.40 Following clause subsumed by 195 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int))| -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)).
% 0.18/0.40 Following clause subsumed by 196 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int))| -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)).
% 0.18/0.40 Following clause subsumed by 197 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B)))| -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)).
% 0.18/0.40 Following clause subsumed by 198 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B)))| -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)).
% 0.18/0.40 Following clause subsumed by 220 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,times_times_nat(C,A)),times_times_nat(C,B))).
% 0.18/0.40 Following clause subsumed by 221 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,times_times_int(C,A)),times_times_int(C,B))).
% 0.18/0.41 Following clause subsumed by 218 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,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.18/0.41 Following clause subsumed by 225 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,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(B,A)),zero_zero_nat)).
% 0.18/0.41 Following clause subsumed by 226 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,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(B,A)),zero_zero_int)).
% 0.18/0.41 Following clause subsumed by 221 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,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.41 Following clause subsumed by 221 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.41 Following clause subsumed by 218 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.18/0.41 Following clause subsumed by 223 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.18/0.41 Following clause subsumed by 219 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 0.18/0.41 Following clause subsumed by 250 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,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 0.18/0.41 Following clause subsumed by 251 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),plus_plus_int(A,B))).
% 0.18/0.41 Following clause subsumed by 264 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,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 0.18/0.41 Following clause subsumed by 265 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),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 0.18/0.41 Following clause subsumed by 266 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.18/0.41 Following clause subsumed by 267 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.18/0.41 Following clause subsumed by 221 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,times_times_int(C,A)),times_times_int(C,B))).
% 0.18/0.41 Following clause subsumed by 278 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,minus_minus_int(A,B)),zero_zero_int)).
% 0.18/0.41 Following clause subsumed by 279 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,minus_minus_int(A,B)),zero_zero_int)).
% 0.18/0.41 Following clause subsumed by 286 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.18/0.41 Following clause subsumed by 287 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.18/0.41 Following clause subsumed by 288 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.18/0.41 Following clause subsumed by 289 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.18/0.41 Following clause subsumed by 283 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_eq_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.18/0.41 Following clause subsumed by 305 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_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 0.18/0.41 Following clause subsumed by 306 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_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 0.18/0.41 Following clause subsumed by 307 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,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 0.18/0.41 Following clause subsumed by 308 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_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 0.18/0.41 Following clause subsumed by 251 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),plus_plus_int(A,B))).
% 0.18/0.41 Following clause subsumed by 197 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),times_times_int(A,B))).
% 0.18/0.41 Following clause subsumed by 231 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),times_times_int(A,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 0.18/0.41 Following clause subsumed by 126 during input processing: 0 [] {-} A!=plus_plus_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))).
% 0.18/0.41 Following clause subsumed by 378 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|nat_tsub(B,A)=minus_minus_int(B,A).
% 0.18/0.41 Following clause subsumed by 170 during input processing: 0 [] {-} times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.18/0.41 Following clause subsumed by 415 during input processing: 0 [] {-} times_times_nat(A,B)=zero_zero_nat|A!=zero_zero_nat.
% 0.18/0.41 Following clause subsumed by 120 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.18/0.41 Following clause subsumed by 122 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.18/0.41 Following clause subsumed by 123 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.18/0.41 Following clause subsumed by 120 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.18/0.41 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.18/0.41 Following clause subsumed by 122 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.18/0.41 Following clause subsumed by 11 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.18/0.41 Following clause subsumed by 15 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 0.18/0.41 Following clause subsumed by 9 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 0.18/0.41 Following clause subsumed by 13 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 0.18/0.41 Following clause subsumed by 428 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,minus_minus_nat(B,A)),minus_minus_nat(C,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.18/0.41 Following clause subsumed by 106 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.18/0.41 Following clause subsumed by 119 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)).
% 0.18/0.41 Following clause subsumed by 108 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.
% 0.18/0.41 Following clause subsumed by 438 during input processing: 0 [] {-} times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 0.18/0.41 Following clause subsumed by 440 during input processing: 0 [] {-} times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 0.18/0.41 Following clause subsumed by 442 during input processing: 0 [] {-} times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.18/0.41 Following clause subsumed by 416 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.18/0.43 Following clause subsumed by 123 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.18/0.43 Following clause subsumed by 416 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.18/0.43 Following clause subsumed by 220 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,times_times_nat(C,A)),times_times_nat(C,B))).
% 0.18/0.43 Following clause subsumed by 222 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,times_times_nat(A,C)),times_times_nat(B,C))).
% 0.18/0.43 Following clause subsumed by 222 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),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)).
% 0.18/0.43 Following clause subsumed by 220 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),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)).
% 0.18/0.43 Following clause subsumed by 234 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_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)).
% 0.18/0.43 Following clause subsumed by 172 during input processing: 0 [] {-} plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 457 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|minus_minus_nat(A,B)=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 106 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 79 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,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 0.18/0.43 Following clause subsumed by 73 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,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 0.18/0.43 416 back subsumes 303.
% 0.18/0.43 416 back subsumes 301.
% 0.18/0.43 416 back subsumes 272.
% 0.18/0.43 416 back subsumes 262.
% 0.18/0.43 416 back subsumes 232.
% 0.18/0.43 416 back subsumes 225.
% 0.18/0.43 434 back subsumes 201.
% 0.18/0.43 434 back subsumes 199.
% 0.18/0.43 435 back subsumes 205.
% 0.18/0.43 436 back subsumes 207.
% 0.18/0.43 448 back subsumes 288.
% 0.18/0.43 450 back subsumes 286.
% 0.18/0.43 451 back subsumes 228.
% 0.18/0.43 452 back subsumes 230.
% 0.18/0.43 453 back subsumes 252.
% 0.18/0.43 454 back subsumes 253.
% 0.18/0.43 455 back subsumes 254.
% 0.18/0.43 463 back subsumes 305.
% 0.18/0.43 463 back subsumes 264.
% 0.18/0.43 496 back subsumes 491.
% 0.18/0.43
% 0.18/0.43 ------------> process sos:
% 0.18/0.43 Following clause subsumed by 648 during input processing: 0 [demod,633,641] {-} plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D))=plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D)).
% 0.18/0.43 Following clause subsumed by 655 during input processing: 0 [demod,633] {-} plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)).
% 0.18/0.43 Following clause subsumed by 655 during input processing: 0 [demod,633] {-} plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 0.18/0.43 Following clause subsumed by 664 during input processing: 0 [demod,657] {-} plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 646 during input processing: 0 [] {-} times_times_int(A,B)=times_times_int(B,A).
% 0.18/0.43 Following clause subsumed by 645 during input processing: 0 [demod,637] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.18/0.43 Following clause subsumed by 645 during input processing: 0 [demod,637] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.18/0.43 Following clause subsumed by 677 during input processing: 0 [demod,639] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 645 during input processing: 0 [demod,637] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(B,times_times_int(C,D))).
% 0.18/0.43 Following clause subsumed by 677 during input processing: 0 [demod,639] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(B,times_times_nat(C,D))).
% 0.18/0.43 Following clause subsumed by 650 during input processing: 0 [] {-} plus_plus_int(A,B)=plus_plus_int(B,A).
% 0.18/0.43 Following clause subsumed by 649 during input processing: 0 [] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 0.18/0.43 Following clause subsumed by 648 during input processing: 0 [demod,641] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.18/0.43 Following clause subsumed by 648 during input processing: 0 [demod,641] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.18/0.43 Following clause subsumed by 693 during input processing: 0 [demod,643] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,722] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,720] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,722] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,724] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,726] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,724] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,726] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,720] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,724] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,633,720,720] {-} plus_plus_int(A,A)=plus_plus_int(A,A).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,657,722,722] {-} plus_plus_nat(A,A)=plus_plus_nat(A,A).
% 0.18/0.43 Following clause subsumed by 690 during input processing: 0 [demod,657,722,flip.1] {-} plus_plus_nat(times_times_nat(B,A),A)=plus_plus_nat(A,times_times_nat(B,A)).
% 0.18/0.43 Following clause subsumed by 650 during input processing: 0 [demod,633,720,flip.1] {-} plus_plus_int(times_times_int(B,A),A)=plus_plus_int(A,times_times_int(B,A)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,657,722] {-} plus_plus_nat(times_times_nat(A,B),B)=plus_plus_nat(times_times_nat(A,B),B).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,633,720] {-} plus_plus_int(times_times_int(A,B),B)=plus_plus_int(times_times_int(A,B),B).
% 0.18/0.43 Following clause subsumed by 730 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),A)).
% 0.18/0.43 Following clause subsumed by 716 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)).
% 0.18/0.43 Following clause subsumed by 731 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)).
% 0.18/0.43 Following clause subsumed by 732 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)).
% 0.18/0.43 Following clause subsumed by 731 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)).
% 0.18/0.43 Following clause subsumed by 716 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)).
% 0.18/0.43 Following clause subsumed by 733 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.
% 0.18/0.43 Following clause subsumed by 716 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.
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 716 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)).
% 0.18/0.43 Following clause subsumed by 733 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.
% 0.18/0.43 Following clause subsumed by 716 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.
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 716 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)).
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 716 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)).
% 0.18/0.43 Following clause subsumed by 734 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)).
% 0.18/0.43 Following clause subsumed by 735 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)).
% 0.18/0.43 Following clause subsumed by 734 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)).
% 0.18/0.43 Following clause subsumed by 735 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)).
% 0.18/0.43 Following clause subsumed by 734 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)).
% 0.18/0.43 Following clause subsumed by 735 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)).
% 0.18/0.43 Following clause subsumed by 734 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)).
% 0.18/0.43 Following clause subsumed by 735 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)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,737] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,739] {-} zero_zero_int=zero_zero_int.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,741] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,743] {-} zero_zero_int=zero_zero_int.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,745] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,747] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,745] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,747] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,749] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,751] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,749] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,751] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,751] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,747] {-} A=A.
% 0.18/0.43 Following clause subsumed by 760 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 0.18/0.43 Following clause subsumed by 730 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),zero_zero_int)).
% 0.18/0.43 Following clause subsumed by 758 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),one_one_int)).
% 0.18/0.43 Following clause subsumed by 673 during input processing: 0 [] {-} times_times_nat(A,B)=times_times_nat(B,A).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,639] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,737] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,741] {-} zero_zero_nat=zero_zero_nat.
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 733 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)).
% 0.18/0.43 Following clause subsumed by 690 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 0.18/0.43 Following clause subsumed by 691 during input processing: 0 [] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,668] {-} plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,643] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,657] {-} plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 729 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),A)).
% 0.18/0.43 Following clause subsumed by 732 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)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,722] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,726] {-} A=A.
% 0.18/0.43 Following clause subsumed by 823 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,745] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [demod,749] {-} A=A.
% 0.18/0.43 Following clause subsumed by 799 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [] {-} A=A.
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,622,flip.1,demod,631,629,637,629,637,660] {-} minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D))))=minus_minus_int(plus_plus_int(times_times_int(A,B),times_times_int(C,D)),plus_plus_int(times_times_int(E,times_times_int(F,B)),times_times_int(E,times_times_int(G,D)))).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,645,flip.1] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.18/0.43 Following clause subsumed by 646 during input processing: 0 [copy,646,flip.1] {-} times_times_int(A,B)=times_times_int(B,A).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,648,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.18/0.43 Following clause subsumed by 649 during input processing: 0 [copy,649,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 0.18/0.43 Following clause subsumed by 650 during input processing: 0 [copy,650,flip.1] {-} plus_plus_int(A,B)=plus_plus_int(B,A).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,655,flip.1] {-} plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,664,flip.1] {-} plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B))=plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,666,flip.1] {-} plus_plus_int(times_times_int(A,B),times_times_int(A,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 0.18/0.43 Following clause subsumed by 670 during input processing: 0 [copy,670,flip.1] {-} plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 0.18/0.43 Following clause subsumed by 672 during input processing: 0 [copy,672,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,plus_plus_nat(C,D)))=plus_plus_nat(A,plus_plus_nat(C,plus_plus_nat(B,D))).
% 0.18/0.43 Following clause subsumed by 673 during input processing: 0 [copy,673,flip.1] {-} times_times_nat(A,B)=times_times_nat(B,A).
% 0.18/0.43 Following clause subsumed by 674 during input processing: 0 [copy,674,flip.1] {-} times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 0.18/0.43 Following clause subsumed by 675 during input processing: 0 [copy,675,flip.1] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(B,times_times_nat(A,C)).
% 0.18/0.43 Following clause subsumed by 728 during input processing: 0 [copy,677,flip.1] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.18/0.43 Following clause subsumed by 679 during input processing: 0 [copy,679,flip.1] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 0.18/0.43 Following clause subsumed by 681 during input processing: 0 [copy,681,flip.1] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(C,B)).
% 0.18/0.43 Following clause subsumed by 687 during input processing: 0 [copy,687,flip.1] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 0.18/0.43 Following clause subsumed by 689 during input processing: 0 [copy,689,flip.1] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(C,times_times_nat(B,D))).
% 0.18/0.44 Following clause subsumed by 690 during input processing: 0 [copy,690,flip.1] {-} plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 0.18/0.44 Following clause subsumed by 691 during input processing: 0 [copy,691,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 0.18/0.44 Following clause subsumed by 728 during input processing: 0 [copy,693,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.18/0.44 Following clause subsumed by 695 during input processing: 0 [copy,695,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 0.18/0.44 Following clause subsumed by 697 during input processing: 0 [copy,697,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(C,B)).
% 0.18/0.44 Following clause subsumed by 728 during input processing: 0 [copy,728,flip.1] {-} A=A.
% 0.18/0.44 728 back subsumes 693.
% 0.18/0.44 728 back subsumes 677.
% 0.18/0.44 728 back subsumes 666.
% 0.18/0.44 728 back subsumes 664.
% 0.18/0.44 728 back subsumes 655.
% 0.18/0.44 728 back subsumes 648.
% 0.18/0.44 728 back subsumes 645.
% 0.18/0.44 728 back subsumes 617.
% 0.18/0.44 728 back subsumes 616.
% 0.18/0.44 728 back subsumes 601.
% 0.18/0.44 728 back subsumes 600.
% 0.18/0.44 728 back subsumes 598.
% 0.18/0.44 728 back subsumes 576.
% 0.18/0.44 728 back subsumes 574.
% 0.18/0.44 728 back subsumes 478.
% 0.18/0.44 728 back subsumes 477.
% 0.18/0.44 729 back subsumes 603.
% 0.18/0.44 730 back subsumes 509.
% 0.18/0.44 730 back subsumes 508.
% 0.18/0.44 730 back subsumes 507.
% 0.18/0.44 730 back subsumes 504.
% 0.18/0.44 730 back subsumes 482.
% 0.18/0.44 730 back subsumes 481.
% 0.18/0.44 730 back subsumes 480.
% 0.18/0.44 730 back subsumes 479.
% 0.18/0.44 731 back subsumes 217.
% 0.18/0.44 731 back subsumes 214.
% 0.18/0.44 731 back subsumes 213.
% 0.18/0.44 731 back subsumes 210.
% 0.18/0.44 731 back subsumes 163.
% 0.18/0.44 734 back subsumes 140.
% 0.18/0.44 735 back subsumes 141.
% 0.18/0.44 756 back subsumes 490.
% 0.18/0.44 756 back subsumes 489.
% 0.18/0.44 Following clause subsumed by 789 during input processing: 0 [copy,789,flip.1] {-} abs_abs_int(minus_minus_int(A,B))=abs_abs_int(minus_minus_int(B,A)).
% 0.18/0.44 799 back subsumes 757.
% 0.18/0.44 799 back subsumes 526.
% 0.18/0.44 799 back subsumes 503.
% 0.18/0.44 799 back subsumes 209.
% 0.18/0.44 Following clause subsumed by 802 during input processing: 0 [copy,802,flip.1] {-} minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(minus_minus_nat(A,C),B).
% 0.18/0.44 Following clause subsumed by 683 during input processing: 0 [copy,847,flip.1] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 0.18/0.44 Following clause subsumed by 685 during input processing: 0 [copy,848,flip.1] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(C,times_times_nat(A,times_times_nat(B,D))).
% 0.18/0.44 851 back subsumes 234.
% 0.18/0.44 Following clause subsumed by 794 during input processing: 0 [copy,877,flip.1] {-} posDivAlg(zero_zero_int,A)=product_Pair_int_int(zero_zero_int,zero_zero_int).
% 0.18/0.44 Following clause subsumed by 815 during input processing: 0 [copy,879,flip.1] {-} minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(A,plus_plus_nat(B,C)).
% 0.18/0.44
% 0.18/0.44 ======= end of input processing =======
% 0.18/0.44
% 0.18/0.44 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/0.44 bug in Otter. Please send copy of the input file to
% 0.18/0.44 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.44 using, and send any other info that might be useful.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 SEGMENTATION FAULT!! This is probably caused by a
% 0.18/0.44 bug in Otter. Please send copy of the input file to
% 0.18/0.44 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.18/0.44 using, and send any other info that might be useful.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 The job finished Wed Jul 6 19:53:44 2022
%------------------------------------------------------------------------------