TSTP Solution File: NUM924+4 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n005.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 14:23:10 EDT 2022
% Result : Theorem 42.85s 43.04s
% Output : Refutation 42.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM924+4 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.32 % Computer : n005.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 5 14:43:07 EDT 2022
% 0.12/0.32 % CPUTime :
% 3.77/3.96 ----- Otter 3.2, August 2001 -----
% 3.77/3.96 The process was started by sandbox on n005.cluster.edu,
% 3.77/3.96 Tue Jul 5 14:43:08 2022
% 3.77/3.96 The command was "./sos". The process ID is 20102.
% 3.77/3.96
% 3.77/3.96 set(prolog_style_variables).
% 3.77/3.96 set(auto).
% 3.77/3.96 dependent: set(auto1).
% 3.77/3.96 dependent: set(process_input).
% 3.77/3.96 dependent: clear(print_kept).
% 3.77/3.96 dependent: clear(print_new_demod).
% 3.77/3.96 dependent: clear(print_back_demod).
% 3.77/3.96 dependent: clear(print_back_sub).
% 3.77/3.96 dependent: set(control_memory).
% 3.77/3.96 dependent: assign(max_mem, 12000).
% 3.77/3.96 dependent: assign(pick_given_ratio, 4).
% 3.77/3.96 dependent: assign(stats_level, 1).
% 3.77/3.96 dependent: assign(pick_semantic_ratio, 3).
% 3.77/3.96 dependent: assign(sos_limit, 5000).
% 3.77/3.96 dependent: assign(max_weight, 60).
% 3.77/3.96 clear(print_given).
% 3.77/3.96
% 3.77/3.96 formula_list(usable).
% 3.77/3.96
% 3.77/3.96 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=14.
% 3.77/3.96
% 3.77/3.96 This ia a non-Horn set with equality. The strategy will be
% 3.77/3.96 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 3.77/3.96 unit deletion, with positive clauses in sos and nonpositive
% 3.77/3.96 clauses in usable.
% 3.77/3.96
% 3.77/3.96 dependent: set(knuth_bendix).
% 3.77/3.96 dependent: set(para_from).
% 3.77/3.96 dependent: set(para_into).
% 3.77/3.96 dependent: clear(para_from_right).
% 3.77/3.96 dependent: clear(para_into_right).
% 3.77/3.96 dependent: set(para_from_vars).
% 3.77/3.96 dependent: set(eq_units_both_ways).
% 3.77/3.96 dependent: set(dynamic_demod_all).
% 3.77/3.96 dependent: set(dynamic_demod).
% 3.77/3.96 dependent: set(order_eq).
% 3.77/3.96 dependent: set(back_demod).
% 3.77/3.96 dependent: set(lrpo).
% 3.77/3.96 dependent: set(hyper_res).
% 3.77/3.96 dependent: set(unit_deletion).
% 3.77/3.96 dependent: set(factor).
% 3.77/3.96
% 3.77/3.96 There is a clause for symmetry of equality, so it is
% 3.77/3.96 assumed that equality is fully axiomatized; therefore,
% 3.77/3.96 paramodulation is disabled.
% 3.77/3.96
% 3.77/3.96 dependent: clear(para_from).
% 3.77/3.96 dependent: clear(para_into).
% 3.77/3.96
% 3.77/3.96 ------------> process usable:
% 3.77/3.96 Following clause subsumed by 41 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 42 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 49 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 50 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 51 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit0,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 52 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit0,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.96 Following clause subsumed by 57 during input processing: 0 [flip.1] {-} hAPP_int_nat(number_number_of_nat,A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 3.77/3.96 Following clause subsumed by 58 during input processing: 0 [flip.1] {-} hAPP_int_nat(number_number_of_nat,A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 3.77/3.96 Following clause subsumed by 96 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.97 Following clause subsumed by 97 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.97 Following clause subsumed by 123 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit0,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 124 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit0,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 125 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.97 Following clause subsumed by 126 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 3.77/3.97 Following clause subsumed by 146 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 242 during input processing: 0 [flip.1] {-} hAPP_int_int(bit1,A)!=pls.
% 3.77/3.97 Following clause subsumed by 251 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit1,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 252 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit1,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 254 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit0,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 255 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,A)),hAPP_int_int(bit0,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 115 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 116 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 276 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit0,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 277 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,A)),hAPP_int_int(bit0,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.77/3.97 Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(number_number_of_nat,B))))|hAPP_int_nat(number_number_of_nat,B)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.77/3.97 Following clause subsumed by 324 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(number_number_of_nat,B))))|hAPP_int_nat(number_number_of_nat,B)!=zero_zero_nat.
% 3.77/3.97 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(number_number_of_nat,B))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.77/3.97 Following clause subsumed by 260 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A)=A.
% 3.77/3.97 Following clause subsumed by 259 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),zero_zero_int)=A.
% 3.77/3.97 Following clause subsumed by 367 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|A=C|B=D.
% 3.77/3.97 Following clause subsumed by 368 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|A!=C.
% 3.77/3.97 Following clause subsumed by 369 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))|B!=D.
% 3.77/3.97 Following clause subsumed by 370 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|A=C|B=D.
% 3.77/3.97 Following clause subsumed by 371 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|A!=C.
% 3.77/3.97 Following clause subsumed by 372 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))|B!=D.
% 3.77/3.97 Following clause subsumed by 373 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|A=C|B=D.
% 3.77/3.97 Following clause subsumed by 374 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|A!=C.
% 3.77/3.97 Following clause subsumed by 375 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),D))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))|B!=D.
% 3.77/3.97 Following clause subsumed by 376 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|A=C|B=D.
% 3.77/3.97 Following clause subsumed by 377 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|A!=C.
% 3.77/3.97 Following clause subsumed by 378 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),D))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))|B!=D.
% 3.77/3.97 Following clause subsumed by 379 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|A=C|B=D.
% 3.77/3.97 Following clause subsumed by 380 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|A!=C.
% 3.77/3.97 Following clause subsumed by 381 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),D))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))|B!=D.
% 3.77/3.97 Following clause subsumed by 118 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A)=A.
% 3.77/3.97 Following clause subsumed by 117 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),one_one_int)=A.
% 3.77/3.97 Following clause subsumed by 326 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 3.77/3.97 Following clause subsumed by 444 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)),zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B),zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),zero_zero_int),A)).
% 3.77/3.97 Following clause subsumed by 451 during input processing: 0 [flip.1] {-} pls!=min.
% 3.77/3.98 Following clause subsumed by 452 during input processing: 0 [flip.1] {-} hAPP_int_int(bit0,A)!=min.
% 3.77/3.98 Following clause subsumed by 185 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|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)).
% 3.77/3.98 Following clause subsumed by 487 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B),A),C)).
% 3.77/3.98 Following clause subsumed by 55 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -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)).
% 3.77/3.98 Following clause subsumed by 498 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|B=zero_zero_int|A=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A)!=zero_zero_int.
% 3.77/3.98 Following clause subsumed by 499 during input processing: 0 [] {-} A=zero_zero_nat|B=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=zero_zero_nat.
% 3.77/3.98 Following clause subsumed by 500 during input processing: 0 [] {-} A=zero_zero_real|B=zero_zero_real|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)!=zero_zero_real.
% 3.77/3.98 Following clause subsumed by 501 during input processing: 0 [] {-} A=zero_z126310315umeral|B=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)!=zero_z126310315umeral.
% 3.77/3.98 Following clause subsumed by 502 during input processing: 0 [] {-} A=zero_zero_complex|B=zero_zero_complex|hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)!=zero_zero_complex.
% 3.77/3.98 Following clause subsumed by 503 during input processing: 0 [] {-} A=zero_z891286103de_int|B=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)!=zero_z891286103de_int.
% 3.77/3.98 Following clause subsumed by 504 during input processing: 0 [] {-} A=zero_zero_rat|B=zero_zero_rat|hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)!=zero_zero_rat.
% 3.77/3.98 Following clause subsumed by 498 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 3.77/3.98 Following clause subsumed by 500 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 3.77/3.98 Following clause subsumed by 502 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)!=zero_zero_complex|A=zero_zero_complex|B=zero_zero_complex.
% 3.77/3.98 Following clause subsumed by 504 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)!=zero_zero_rat|A=zero_zero_rat|B=zero_zero_rat.
% 3.77/3.98 Following clause subsumed by 256 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 3.77/3.98 Following clause subsumed by 256 during input processing: 0 [flip.1] {-} zero_zero_int!=one_one_int.
% 3.77/3.98 Following clause subsumed by 513 during input processing: 0 [flip.1] {-} zero_zero_nat!=one_one_nat.
% 3.77/3.98 Following clause subsumed by 514 during input processing: 0 [flip.1] {-} zero_zero_real!=one_one_real.
% 3.77/3.98 Following clause subsumed by 515 during input processing: 0 [flip.1] {-} zero_z126310315umeral!=one_on1645066479umeral.
% 3.77/3.98 Following clause subsumed by 516 during input processing: 0 [flip.1] {-} zero_zero_complex!=one_one_complex.
% 3.77/3.98 Following clause subsumed by 517 during input processing: 0 [flip.1] {-} zero_z891286103de_int!=one_on1684967323de_int.
% 3.77/3.98 Following clause subsumed by 518 during input processing: 0 [flip.1] {-} zero_zero_rat!=one_one_rat.
% 3.77/3.98 Following clause subsumed by 323 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|B=zero_zero_nat.
% 3.77/3.98 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.77/3.98 Following clause subsumed by 324 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)))|B!=zero_zero_nat.
% 3.77/3.98 Following clause subsumed by 341 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),one_one_nat)=A.
% 3.77/3.98 Following clause subsumed by 409 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(hAPP_int_fun_int_int(times_times_int,A),B))).
% 3.77/3.98 Following clause subsumed by 656 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(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))).
% 3.77/3.98 Following clause subsumed by 657 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(hAPP_nat_fun_nat_nat(times_times_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))).
% 3.77/3.98 Following clause subsumed by 658 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(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))).
% 3.77/3.98 Following clause subsumed by 659 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),B))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),A)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),B))).
% 3.77/3.98 Following clause subsumed by 660 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),B))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),A)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),B))).
% 3.77/3.98 Following clause subsumed by 661 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),B))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),C))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))).
% 3.77/3.98 Following clause subsumed by 633 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(hAPP_int_fun_int_int(times_times_int,A),B))).
% 3.77/3.98 Following clause subsumed by 635 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(hAPP_r1250527377l_real(times_times_real,A),B))).
% 3.77/3.98 Following clause subsumed by 637 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B))).
% 3.77/3.98 Following clause subsumed by 622 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(hAPP_int_fun_int_int(times_times_int,A),B)),zero_zero_int)).
% 3.77/3.98 Following clause subsumed by 624 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),zero_zero_nat)).
% 3.77/3.98 Following clause subsumed by 626 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(hAPP_r1250527377l_real(times_times_real,A),B)),zero_zero_real)).
% 3.77/3.98 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),zero_z126310315umeral))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),zero_z126310315umeral)).
% 3.77/3.98 Following clause subsumed by 630 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),zero_z891286103de_int))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),zero_z891286103de_int)).
% 3.77/3.98 Following clause subsumed by 632 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),zero_zero_rat)).
% 3.77/3.98 Following clause subsumed by 622 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(hAPP_int_fun_int_int(times_times_int,B),A)),zero_zero_int)).
% 3.77/3.98 Following clause subsumed by 624 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(hAPP_nat_fun_nat_nat(times_times_nat,B),A)),zero_zero_nat)).
% 3.77/3.98 Following clause subsumed by 626 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(hAPP_r1250527377l_real(times_times_real,B),A)),zero_zero_real)).
% 3.77/3.98 Following clause subsumed by 628 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),A)),zero_z126310315umeral)).
% 3.77/3.98 Following clause subsumed by 630 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),A)),zero_z891286103de_int)).
% 3.77/3.98 Following clause subsumed by 632 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),A)),zero_zero_rat)).
% 3.77/3.98 Following clause subsumed by 621 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(hAPP_int_fun_int_int(times_times_int,A),B)),zero_zero_int)).
% 3.77/3.98 Following clause subsumed by 623 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),zero_zero_nat)).
% 3.77/3.98 Following clause subsumed by 625 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(hAPP_r1250527377l_real(times_times_real,A),B)),zero_zero_real)).
% 3.77/3.98 Following clause subsumed by 627 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),zero_z126310315umeral)).
% 3.77/3.98 Following clause subsumed by 629 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),zero_z891286103de_int)).
% 3.77/3.98 Following clause subsumed by 631 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),zero_zero_rat)).
% 3.77/3.98 Following clause subsumed by 409 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(hAPP_int_fun_int_int(times_times_int,A),B))).
% 3.77/3.98 Following clause subsumed by 634 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(hAPP_r1250527377l_real(times_times_real,A),B))).
% 3.77/3.98 Following clause subsumed by 636 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B))).
% 3.77/3.98 Following clause subsumed by 621 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_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)).
% 3.77/3.98 Following clause subsumed by 622 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_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)).
% 3.77/3.98 Following clause subsumed by 625 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),zero_zero_real))| -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)).
% 3.77/3.98 Following clause subsumed by 626 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),zero_zero_real))| -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)).
% 3.77/3.98 Following clause subsumed by 631 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),zero_zero_rat)).
% 3.77/3.98 Following clause subsumed by 632 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B)).
% 3.77/3.98 Following clause subsumed by 409 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_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)).
% 3.77/3.98 Following clause subsumed by 633 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_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)).
% 3.77/3.98 Following clause subsumed by 634 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)))| -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)).
% 3.77/3.98 Following clause subsumed by 635 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)))| -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)).
% 3.77/3.99 Following clause subsumed by 636 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B)).
% 3.77/3.99 Following clause subsumed by 637 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),zero_zero_rat)).
% 3.77/3.99 Following clause subsumed by 195 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(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))).
% 3.77/3.99 Following clause subsumed by 195 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(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))).
% 3.77/3.99 Following clause subsumed by 701 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(hAPP_nat_fun_nat_nat(times_times_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))).
% 3.77/3.99 Following clause subsumed by 702 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(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))).
% 3.77/3.99 Following clause subsumed by 703 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),B))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),A)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),B))).
% 3.77/3.99 Following clause subsumed by 704 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),B))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),A)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),B))).
% 3.77/3.99 Following clause subsumed by 705 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))).
% 3.77/3.99 Following clause subsumed by 695 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(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 3.77/3.99 Following clause subsumed by 696 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(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 3.77/3.99 Following clause subsumed by 697 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),B)).
% 3.77/3.99 Following clause subsumed by 408 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)))| -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)).
% 3.77/3.99 Following clause subsumed by 715 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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A)),zero_zero_int)).
% 3.77/3.99 Following clause subsumed by 716 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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),A)),zero_zero_nat)).
% 3.77/3.99 Following clause subsumed by 717 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),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),A)),zero_zero_real)).
% 3.77/3.99 Following clause subsumed by 718 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),A)),zero_z126310315umeral)).
% 3.77/3.99 Following clause subsumed by 719 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),A)),zero_z891286103de_int)).
% 3.77/3.99 Following clause subsumed by 720 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),A)),zero_zero_rat)).
% 3.77/3.99 Following clause subsumed by 195 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(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 3.77/3.99 Following clause subsumed by 702 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(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.77/3.99 Following clause subsumed by 705 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),C)).
% 3.77/3.99 Following clause subsumed by 195 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 695 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 702 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -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)).
% 3.77/3.99 Following clause subsumed by 696 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 3.77/3.99 Following clause subsumed by 705 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),C)).
% 3.77/3.99 Following clause subsumed by 697 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),B)).
% 3.77/3.99 Following clause subsumed by 706 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 698 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 708 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 3.77/3.99 Following clause subsumed by 699 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 3.77/3.99 Following clause subsumed by 711 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),C)).
% 3.77/3.99 Following clause subsumed by 700 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),A)).
% 3.77/3.99 Following clause subsumed by 411 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),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B))).
% 3.77/3.99 Following clause subsumed by 325 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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B))).
% 3.77/3.99 Following clause subsumed by 331 during input processing: 0 [] {-} -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)))|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 3.77/3.99 Following clause subsumed by 519 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)!=zero_zero_int|A=zero_zero_int.
% 3.77/3.99 Following clause subsumed by 520 during input processing: 0 [] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)!=zero_zero_real|A=zero_zero_real.
% 3.77/3.99 Following clause subsumed by 521 during input processing: 0 [] {-} hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)!=zero_zero_complex|A=zero_zero_complex.
% 3.77/3.99 Following clause subsumed by 522 during input processing: 0 [] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)!=zero_zero_rat|A=zero_zero_rat.
% 3.77/3.99 Following clause subsumed by 889 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 3.77/3.99 Following clause subsumed by 890 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 3.77/3.99 Following clause subsumed by 904 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 905 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(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)).
% 3.77/3.99 Following clause subsumed by 906 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.77/3.99 Following clause subsumed by 907 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B),C)).
% 3.77/3.99 Following clause subsumed by 908 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B),C)).
% 3.77/3.99 Following clause subsumed by 909 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),C)).
% 3.77/3.99 Following clause subsumed by 910 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(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)).
% 3.77/3.99 Following clause subsumed by 911 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(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)).
% 3.77/3.99 Following clause subsumed by 912 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 3.77/3.99 Following clause subsumed by 913 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),B)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),C)).
% 3.77/3.99 Following clause subsumed by 914 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),B)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),C)).
% 3.77/3.99 Following clause subsumed by 915 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),C)).
% 3.77/3.99 Following clause subsumed by 892 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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 3.77/4.00 Following clause subsumed by 894 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_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.77/4.00 Following clause subsumed by 897 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),C)).
% 3.77/4.00 Following clause subsumed by 967 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 968 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 969 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 970 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 971 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 972 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1004 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 998 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1005 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 999 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1006 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1000 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1007 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1001 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1008 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1002 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1009 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1003 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1010 during input processing: 0 [] {-} -is_int(A)| -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,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),B))|A=zero_zero_int.
% 3.77/4.00 Following clause subsumed by 1081 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),D)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1080 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),D)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1083 during input processing: 0 [] {-} -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),B))|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),D)))| -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1082 during input processing: 0 [] {-} -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),B))| -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),D)))|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1085 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),D)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1084 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),B))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),D)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1087 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),D)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1086 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),D)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,E),B))),D))).
% 3.77/4.00 Following clause subsumed by 1143 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 3.77/4.00 Following clause subsumed by 1145 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 3.77/4.00 Following clause subsumed by 1144 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 3.77/4.00 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 3.77/4.00 Following clause subsumed by 1145 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.77/4.00 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 3.77/4.00 Following clause subsumed by 352 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=A|B=zero_zero_nat.
% 3.77/4.00 Following clause subsumed by 1152 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 3.77/4.00 Following clause subsumed by 499 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 3.77/4.00 Following clause subsumed by 1144 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 3.77/4.00 Following clause subsumed by 492 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.
% 3.77/4.00 Following clause subsumed by 492 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.
% 3.77/4.00 Following clause subsumed by 1179 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)).
% 3.77/4.00 Following clause subsumed by 1152 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 3.77/4.00 Following clause subsumed by 1179 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)).
% 3.77/4.00 Following clause subsumed by 492 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)).
% 3.77/4.00 Following clause subsumed by 1179 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)).
% 3.77/4.00 Following clause subsumed by 1152 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 3.77/4.00 Following clause subsumed by 1190 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 3.77/4.00 Following clause subsumed by 1189 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.00 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|A=one_one_nat.
% 3.77/4.00 Following clause subsumed by 1197 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|B=one_one_nat.
% 3.77/4.01 Following clause subsumed by 1199 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 3.77/4.01 Following clause subsumed by 1173 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.77/4.01 Following clause subsumed by 1174 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 3.77/4.01 Following clause subsumed by 742 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_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)).
% 3.77/4.01 Following clause subsumed by 701 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_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)).
% 3.77/4.01 Following clause subsumed by 707 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_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)).
% 3.77/4.01 Following clause subsumed by 707 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(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))).
% 3.77/4.01 Following clause subsumed by 701 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(hAPP_nat_fun_nat_nat(times_times_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))).
% 3.77/4.01 Following clause subsumed by 827 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C))).
% 3.77/4.01 Following clause subsumed by 331 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C))).
% 3.77/4.01 Following clause subsumed by 893 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_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_eq_nat,B),C)).
% 3.77/4.01 Following clause subsumed by 1192 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.01 Following clause subsumed by 899 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_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_eq_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 1191 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 19 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=zero_zero_real|A=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 20 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))!=zero_zero_real|B=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 21 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 3.77/4.01 Following clause subsumed by 1254 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 3.77/4.01 Following clause subsumed by 1255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B=A.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 3.77/4.01 Following clause subsumed by 1254 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 3.77/4.01 Following clause subsumed by 1255 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B!=A.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 3.77/4.01 Following clause subsumed by 1254 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B=A.
% 3.77/4.01 Following clause subsumed by 1254 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=A.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 3.77/4.01 Following clause subsumed by 1256 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A=B.
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 1257 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 1258 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 3.77/4.01 Following clause subsumed by 1255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 3.77/4.01 Following clause subsumed by 1255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|A!=B.
% 3.77/4.01 Following clause subsumed by 1254 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=A.
% 3.77/4.01 Following clause subsumed by 1258 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 1257 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))|B!=C| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.01 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 3.77/4.01 Following clause subsumed by 514 during input processing: 0 [] {-} zero_zero_real!=one_one_real.
% 3.77/4.01 Following clause subsumed by 493 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.
% 3.77/4.01 Following clause subsumed by 1263 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)).
% 3.77/4.01 Following clause subsumed by 493 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.
% 3.77/4.01 Following clause subsumed by 1270 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(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.77/4.01 Following clause subsumed by 1281 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 3.77/4.01 Following clause subsumed by 1290 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)).
% 3.77/4.01 Following clause subsumed by 1301 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_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)).
% 3.77/4.01 Following clause subsumed by 1302 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),C)))|B!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 3.77/4.01 Following clause subsumed by 189 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),B))!=zero_zero_real|A=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 190 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),B))!=zero_zero_real|B=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 191 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 3.77/4.01 Following clause subsumed by 708 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(hAPP_r1250527377l_real(times_times_real,B),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.77/4.02 Following clause subsumed by 743 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(hAPP_r1250527377l_real(times_times_real,A),B))).
% 3.77/4.02 Following clause subsumed by 702 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(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C))).
% 3.77/4.02 Following clause subsumed by 894 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_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.77/4.02 Following clause subsumed by 947 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_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.77/4.02 Following clause subsumed by 900 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_eq_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.77/4.02 Following clause subsumed by 585 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),C))).
% 3.77/4.02 Following clause subsumed by 1161 during input processing: 0 [] {-} A!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=zero_zero_nat.
% 3.77/4.02 Following clause subsumed by 1319 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.77/4.02 Following clause subsumed by 1195 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|A=one_one_nat.
% 3.77/4.02 Following clause subsumed by 1197 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=one_one_nat|B=one_one_nat.
% 3.77/4.02 Following clause subsumed by 1199 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 3.77/4.02 Following clause subsumed by 867 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 3.77/4.02 Following clause subsumed by 866 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)!=zero_zero_nat|A=zero_zero_nat.
% 3.77/4.02 Following clause subsumed by 868 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat.
% 3.77/4.02 Following clause subsumed by 1327 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)=one_one_nat|B!=zero_zero_nat.
% 3.77/4.02 Following clause subsumed by 1327 during input processing: 0 [] {-} A!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),A)=one_one_nat.
% 3.77/4.02 Following clause subsumed by 1139 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.84/4.02 Following clause subsumed by 893 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1192 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1107 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(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1318 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(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1163 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|A=zero_zero_nat|B=C.
% 3.84/4.02 Following clause subsumed by 1165 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|A!=zero_zero_nat.
% 3.84/4.02 Following clause subsumed by 1164 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|B!=C.
% 3.84/4.02 Following clause subsumed by 1164 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|B!=C.
% 3.84/4.02 Following clause subsumed by 1204 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 701 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(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1318 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1173 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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 3.84/4.02 Following clause subsumed by 1174 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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 3.84/4.02 Following clause subsumed by 1174 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,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C))).
% 3.84/4.02 Following clause subsumed by 1062 during input processing: 0 [unit_del,1062] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat)).
% 3.84/4.02 Following clause subsumed by 1062 during input processing: 0 [unit_del,1062] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 3.84/4.02 Following clause subsumed by 1148 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1146 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1422 during input processing: 0 [] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)!=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1423 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=B.
% 3.84/4.02 Following clause subsumed by 1146 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1424 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1425 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1426 during input processing: 0 [] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1427 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1416 during input processing: 0 [] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)!=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1417 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)|A=B.
% 3.84/4.02 Following clause subsumed by 1148 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1149 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)|A!=C.
% 3.84/4.02 Following clause subsumed by 1418 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1419 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1420 during input processing: 0 [] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1421 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)|A=C.
% 3.84/4.02 Following clause subsumed by 1422 during input processing: 0 [] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)!=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1423 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)|A=B.
% 3.84/4.02 Following clause subsumed by 1146 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1147 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)|B!=C.
% 3.84/4.02 Following clause subsumed by 1424 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1425 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1426 during input processing: 0 [] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)!=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 1427 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)|B=C.
% 3.84/4.02 Following clause subsumed by 259 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),zero_zero_int)=A.
% 3.84/4.02 Following clause subsumed by 259 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),zero_zero_int)=A.
% 3.84/4.02 Following clause subsumed by 236 during input processing: 0 [flip.2] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)!=zero_zero_int|A=zero_zero_int.
% 3.84/4.02 Following clause subsumed by 237 during input processing: 0 [flip.2] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)=zero_zero_int|A!=zero_zero_int.
% 3.84/4.02 Following clause subsumed by 238 during input processing: 0 [flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)!=zero_zero_real|A=zero_zero_real.
% 3.84/4.02 Following clause subsumed by 239 during input processing: 0 [flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)=zero_zero_real|A!=zero_zero_real.
% 3.84/4.02 Following clause subsumed by 240 during input processing: 0 [flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)!=zero_zero_rat|A=zero_zero_rat.
% 3.84/4.02 Following clause subsumed by 241 during input processing: 0 [flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)=zero_zero_rat|A!=zero_zero_rat.
% 3.84/4.02 Following clause subsumed by 260 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A)=A.
% 3.84/4.02 Following clause subsumed by 260 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A)=A.
% 3.84/4.02 Following clause subsumed by 1183 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1188 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(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 3.84/4.02 Following clause subsumed by 56 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(hAPP_int_fun_int_int(plus_plus_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B))).
% 3.84/4.02 Following clause subsumed by 1184 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(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 3.84/4.02 Following clause subsumed by 1262 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(hAPP_r1250527377l_real(plus_plus_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B))).
% 3.84/4.02 Following clause subsumed by 1187 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(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 3.84/4.02 Following clause subsumed by 1462 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B),C)).
% 3.84/4.02 Following clause subsumed by 1478 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B),C)).
% 3.84/4.02 Following clause subsumed by 1463 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 3.84/4.02 Following clause subsumed by 56 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 3.84/4.02 Following clause subsumed by 1183 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1184 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.84/4.02 Following clause subsumed by 1464 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.84/4.02 Following clause subsumed by 1262 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 3.84/4.03 Following clause subsumed by 1465 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1479 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1466 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),C)).
% 3.84/4.03 Following clause subsumed by 1480 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,B),C)).
% 3.84/4.03 Following clause subsumed by 1467 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),C)).
% 3.84/4.03 Following clause subsumed by 1481 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),C)).
% 3.84/4.03 Following clause subsumed by 1468 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1482 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1469 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 3.84/4.03 Following clause subsumed by 1187 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 3.84/4.03 Following clause subsumed by 1470 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 3.84/4.03 Following clause subsumed by 1483 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 3.84/4.03 Following clause subsumed by 1471 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1484 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1472 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),C)).
% 3.84/4.03 Following clause subsumed by 1485 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),C)).
% 3.84/4.03 Following clause subsumed by 1171 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.84/4.03 Following clause subsumed by 1176 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(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 3.84/4.03 Following clause subsumed by 1172 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(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 3.84/4.03 Following clause subsumed by 261 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(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))).
% 3.84/4.03 Following clause subsumed by 1175 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(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 3.84/4.03 Following clause subsumed by 1486 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B),C)).
% 3.84/4.03 Following clause subsumed by 1502 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B),C)).
% 3.84/4.03 Following clause subsumed by 1487 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1503 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1171 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.84/4.03 Following clause subsumed by 1172 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.84/4.03 Following clause subsumed by 1488 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.84/4.03 Following clause subsumed by 1504 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.84/4.03 Following clause subsumed by 1489 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1505 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B),C)).
% 3.84/4.03 Following clause subsumed by 1490 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),C)).
% 3.84/4.03 Following clause subsumed by 1506 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),C)).
% 3.84/4.03 Following clause subsumed by 1491 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),C)).
% 3.84/4.03 Following clause subsumed by 1507 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),C)).
% 3.84/4.03 Following clause subsumed by 1492 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 3.84/4.03 Following clause subsumed by 261 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1493 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 3.84/4.03 Following clause subsumed by 1175 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 3.84/4.03 Following clause subsumed by 1494 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 3.84/4.03 Following clause subsumed by 1508 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 3.84/4.03 Following clause subsumed by 1495 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1509 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),C)).
% 3.84/4.03 Following clause subsumed by 1496 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),C)).
% 3.84/4.03 Following clause subsumed by 1510 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),C)).
% 3.84/4.03 Following clause subsumed by 1512 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|A!=B|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=zero_zero_int.
% 3.84/4.03 Following clause subsumed by 1511 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|A=B|hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)!=zero_zero_int.
% 3.84/4.03 Following clause subsumed by 1514 during input processing: 0 [] {-} A!=B|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=zero_zero_real.
% 3.84/4.03 Following clause subsumed by 1513 during input processing: 0 [] {-} A=B|hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)!=zero_zero_real.
% 3.84/4.03 Following clause subsumed by 1516 during input processing: 0 [] {-} A!=B|hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)=zero_zero_complex.
% 3.84/4.03 Following clause subsumed by 1515 during input processing: 0 [] {-} A=B|hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)!=zero_zero_complex.
% 3.84/4.03 Following clause subsumed by 1518 during input processing: 0 [] {-} A!=B|hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=zero_zero_rat.
% 3.84/4.03 Following clause subsumed by 1517 during input processing: 0 [] {-} A=B|hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)!=zero_zero_rat.
% 3.84/4.03 Following clause subsumed by 117 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),one_one_int)=A.
% 3.84/4.03 Following clause subsumed by 117 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),one_one_int)=A.
% 3.84/4.03 Following clause subsumed by 118 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A)=A.
% 3.84/4.03 Following clause subsumed by 118 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A)=A.
% 3.84/4.03 Following clause subsumed by 1185 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),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A))).
% 3.84/4.03 Following clause subsumed by 1186 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),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C))).
% 3.84/4.03 Following clause subsumed by 1157 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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=zero_zero_nat|A=zero_zero_nat.
% 3.84/4.03 Following clause subsumed by 1158 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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=zero_zero_nat|B=zero_zero_nat.
% 3.84/4.03 Following clause subsumed by 1159 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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 3.84/4.03 Following clause subsumed by 1553 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B))).
% 3.84/4.03 Following clause subsumed by 1554 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(hAPP_int_fun_int_int(plus_plus_int,A),B))).
% 3.84/4.03 Following clause subsumed by 1185 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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 3.84/4.03 Following clause subsumed by 1555 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(hAPP_r1250527377l_real(plus_plus_real,A),B))).
% 3.84/4.03 Following clause subsumed by 1556 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B))).
% 3.84/4.03 Following clause subsumed by 1557 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B))).
% 3.84/4.04 Following clause subsumed by 1062 during input processing: 0 [unit_del,1062,factor_simp] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 3.84/4.04 Following clause subsumed by 777 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B))).
% 3.84/4.04 Following clause subsumed by 778 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),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B))).
% 3.84/4.04 Following clause subsumed by 1173 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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))).
% 3.84/4.04 Following clause subsumed by 780 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(hAPP_r1250527377l_real(plus_plus_real,A),B))).
% 3.84/4.04 Following clause subsumed by 781 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B))).
% 3.84/4.04 Following clause subsumed by 782 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B))).
% 3.84/4.04 Following clause subsumed by 262 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 3.84/4.04 Following clause subsumed by 263 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 3.84/4.04 Following clause subsumed by 264 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 3.84/4.04 Following clause subsumed by 265 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 3.84/4.04 Following clause subsumed by 266 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat)).
% 3.84/4.04 Following clause subsumed by 267 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)),zero_zero_rat))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat)).
% 3.84/4.04 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,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),D))).
% 3.84/4.04 Following clause subsumed by 1252 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(hAPP_r1250527377l_real(minus_minus_real,A),B)),zero_zero_real)).
% 3.84/4.04 Following clause subsumed by 1253 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(hAPP_r1250527377l_real(minus_minus_real,A),B)),zero_zero_real)).
% 3.84/4.04 Following clause subsumed by 1104 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(hAPP_int_fun_int_int(minus_minus_int,A),B)),zero_zero_int)).
% 3.84/4.04 Following clause subsumed by 1105 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(hAPP_int_fun_int_int(minus_minus_int,A),B)),zero_zero_int)).
% 3.84/4.04 Following clause subsumed by 615 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(multInv(C),D))),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(multInv(C),D))),D)),C)).
% 3.84/4.04 Following clause subsumed by 584 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),A)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 3.84/4.04 Following clause subsumed by 1669 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),B)))|B=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 3.84/4.04 Following clause subsumed by 1331 during input processing: 0 [] {-} A=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 3.84/4.04 Following clause subsumed by 585 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 3.84/4.04 Following clause subsumed by 1328 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|B=zero_zero_nat.
% 3.84/4.04 Following clause subsumed by 1351 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)|B=C.
% 3.84/4.04 Following clause subsumed by 529 during input processing: 0 [] {-} A=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)).
% 3.84/4.04 Following clause subsumed by 1255 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)).
% 3.84/4.04 Following clause subsumed by 529 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A=zero_zero_nat.
% 3.84/4.04 Following clause subsumed by 1255 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A!=zero_zero_nat.
% 3.84/4.04 Following clause subsumed by 529 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A=zero_zero_nat.
% 3.84/4.04 Following clause subsumed by 1069 during input processing: 0 [] {-} A=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)).
% 3.84/4.04 Following clause subsumed by 1254 during input processing: 0 [] {-} A!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)).
% 3.84/4.04 Following clause subsumed by 1069 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A=one_one_nat.
% 3.84/4.04 Following clause subsumed by 1070 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A!=one_one_nat.
% 3.84/4.04 Following clause subsumed by 1069 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A=one_one_nat.
% 3.84/4.04 Following clause subsumed by 1686 during input processing: 0 [flip.2] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B))),hAPP_int_int(div_mod_int(A),B))=A.
% 3.84/4.04 Following clause subsumed by 1683 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(div_mod_int(A),zero_zero_int)=A.
% 3.84/4.04 Following clause subsumed by 1699 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),C))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),hAPP_C498520661umeral(div_mo1740067990umeral(B),C))).
% 3.84/4.04 Following clause subsumed by 1701 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),C))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),hAPP_Q1762011733de_int(div_mo231679042de_int(B),C))).
% 3.84/4.04 Following clause subsumed by 1703 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(div_mod_int(B),C))).
% 3.84/4.04 Following clause subsumed by 1705 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(div_mod_nat(B),C))).
% 3.84/4.04 Following clause subsumed by 1698 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),hAPP_C498520661umeral(div_mo1740067990umeral(B),C)))| -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),C))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B)).
% 3.84/4.04 Following clause subsumed by 1700 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),hAPP_Q1762011733de_int(div_mo231679042de_int(B),C)))| -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),C))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B)).
% 3.84/4.04 Following clause subsumed by 1702 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(div_mod_int(B),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 3.84/4.05 Following clause subsumed by 1704 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(div_mod_nat(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.84/4.05 Following clause subsumed by 1703 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(div_mod_int(B),C))).
% 3.84/4.05 Following clause subsumed by 1702 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(div_mod_int(B),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 3.84/4.05 Following clause subsumed by 1727 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))|hAPP_C498520661umeral(div_mo1740067990umeral(B),A)=zero_z126310315umeral.
% 3.84/4.05 Following clause subsumed by 1728 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))|hAPP_Q1762011733de_int(div_mo231679042de_int(B),A)=zero_z891286103de_int.
% 3.84/4.05 Following clause subsumed by 1729 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))|hAPP_int_int(div_mod_int(B),A)=zero_zero_int.
% 3.84/4.05 Following clause subsumed by 1730 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hAPP_nat_nat(div_mod_nat(B),A)=zero_zero_nat.
% 3.84/4.05 Following clause subsumed by 1735 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(hAPP_int_fun_int_int(div_div_int,B),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int)).
% 3.84/4.05 Following clause subsumed by 1752 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),C).
% 3.84/4.05 Following clause subsumed by 1739 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),A)=one_one_int.
% 3.84/4.05 Following clause subsumed by 1749 during input processing: 0 [] {-} -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B))=A.
% 3.84/4.05 Following clause subsumed by 1727 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_i769753017umeral(number1443263063umeral,A)),hAPP_i769753017umeral(number1443263063umeral,B)))|hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_i769753017umeral(number1443263063umeral,B)),hAPP_i769753017umeral(number1443263063umeral,A))=zero_z126310315umeral.
% 3.84/4.05 Following clause subsumed by 1731 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_i769753017umeral(number1443263063umeral,A)),hAPP_i769753017umeral(number1443263063umeral,B)))|hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_i769753017umeral(number1443263063umeral,B)),hAPP_i769753017umeral(number1443263063umeral,A))!=zero_z126310315umeral.
% 3.84/4.05 Following clause subsumed by 1728 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_i1732201573de_int(number1226105091de_int,A)),hAPP_i1732201573de_int(number1226105091de_int,B)))|hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_i1732201573de_int(number1226105091de_int,B)),hAPP_i1732201573de_int(number1226105091de_int,A))=zero_z891286103de_int.
% 3.84/4.05 Following clause subsumed by 1732 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_i1732201573de_int(number1226105091de_int,A)),hAPP_i1732201573de_int(number1226105091de_int,B)))|hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_i1732201573de_int(number1226105091de_int,B)),hAPP_i1732201573de_int(number1226105091de_int,A))!=zero_z891286103de_int.
% 3.84/4.05 Following clause subsumed by 1729 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))=zero_zero_int.
% 3.84/4.05 Following clause subsumed by 1733 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))!=zero_zero_int.
% 3.84/4.05 Following clause subsumed by 1730 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,A)),hAPP_int_nat(number_number_of_nat,B)))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,B)),hAPP_int_nat(number_number_of_nat,A))=zero_zero_nat.
% 3.84/4.05 Following clause subsumed by 1734 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,A)),hAPP_int_nat(number_number_of_nat,B)))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,B)),hAPP_int_nat(number_number_of_nat,A))!=zero_zero_nat.
% 3.84/4.05 Following clause subsumed by 1808 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),B))|hAPP_int_int(standardRes(B),A)!=zero_zero_int.
% 3.84/4.05 Following clause subsumed by 1809 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),B))|hAPP_int_int(standardRes(B),A)=zero_zero_int.
% 3.84/4.05 Following clause subsumed by 1818 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),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_int,B),A)).
% 3.84/4.05 Following clause subsumed by 1813 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),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_int,A),B)).
% 3.84/4.05 Following clause subsumed by 1741 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,A),hAPP_int_int(div_mod_int(B),A))).
% 3.84/4.05 Following clause subsumed by 1837 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_eq_int,hAPP_int_int(div_mod_int(B),A)),zero_zero_int)).
% 3.84/4.05 Following clause subsumed by 1742 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(div_mod_int(B),A)),A)).
% 3.84/4.05 Following clause subsumed by 1839 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),hAPP_int_int(div_mod_int(B),A))).
% 3.84/4.05 Following clause subsumed by 1710 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(zcong(B),C),A))|hAPP_int_int(div_mod_int(B),A)!=hAPP_int_int(div_mod_int(C),A).
% 3.84/4.05 Following clause subsumed by 1708 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(dvd_dvd_int,A),B))|hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(C),B)),A)=hAPP_int_int(div_mod_int(C),A).
% 3.88/4.10 Following clause subsumed by 1729 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))=zero_zero_int.
% 3.88/4.10 Following clause subsumed by 1733 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(number_number_of_int,B)))|hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))!=zero_zero_int.
% 3.88/4.10 Following clause subsumed by 2139 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))))|negDivAlg(hAPP_int_int(number_number_of_int,B),hAPP_int_int(number_number_of_int,A))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A))).
% 3.88/4.10 Following clause subsumed by 2139 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),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)))|negDivAlg(B,A)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)).
% 3.88/4.10 Following clause subsumed by 1687 during input processing: 0 [flip.2] {-} -is_int(A)|hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B)),B)),hAPP_int_int(div_mod_int(A),B))=A.
% 3.88/4.10 Following clause subsumed by 2154 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(number_number_of_int,A)))|posDivAlg(one_one_int,hAPP_int_int(number_number_of_int,A))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 3.88/4.10 Following clause subsumed by 2164 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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2166 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))|hAPP_nat_nat(div_mod_nat(hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(A),B)).
% 3.88/4.10 Following clause subsumed by 1757 during input processing: 0 [] {-} A!=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C))=zero_zero_nat.
% 3.88/4.10 Following clause subsumed by 2173 during input processing: 0 [] {-} -is_int(A)| -is_int(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_eq_int,zero_zero_int),A))|hAPP_int_nat(nat,B)!=hAPP_int_nat(nat,A)|B=A.
% 3.88/4.10 Following clause subsumed by 2174 during input processing: 0 [] {-} -is_int(A)| -is_int(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_eq_int,zero_zero_int),A))|hAPP_int_nat(nat,B)=hAPP_int_nat(nat,A)|B!=A.
% 3.88/4.10 Following clause subsumed by 2162 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(div_mod_nat(A),B)=A.
% 3.88/4.10 Following clause subsumed by 2190 during input processing: 0 [] {-} hAPP_int_nat(nat,A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int)).
% 3.88/4.10 Following clause subsumed by 2193 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,B)),hAPP_int_nat(nat,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 3.88/4.10 Following clause subsumed by 2194 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,B)),hAPP_int_nat(nat,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 3.88/4.10 Following clause subsumed by 2193 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_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2193 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2224 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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2225 during input processing: 0 [flip.3] {-} -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))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,A)),hAPP_int_nat(nat,B))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2230 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,A)),B)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 3.88/4.10 Following clause subsumed by 2154 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),A))|posDivAlg(B,A)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),B).
% 3.88/4.10 Following clause subsumed by 2154 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A)))|posDivAlg(hAPP_int_int(number_number_of_int,B),hAPP_int_int(number_number_of_int,A))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(number_number_of_int,B)).
% 3.88/4.11 Following clause subsumed by 2250 during input processing: 0 [flip.3] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,B)),hAPP_int_int(number_number_of_int,A)))|hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,A)),posDivAlg(hAPP_int_int(number_number_of_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,A))))=posDivAlg(hAPP_int_int(number_number_of_int,B),hAPP_int_int(number_number_of_int,A)).
% 3.88/4.11 Following clause subsumed by 2139 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|negDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 3.88/4.11 Following clause subsumed by 2140 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|negDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 3.88/4.11 Following clause subsumed by 2154 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|posDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A).
% 3.88/4.11 Following clause subsumed by 2155 during input processing: 0 [] {-} -hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|posDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A).
% 3.88/4.11 Following clause subsumed by 2315 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=hAPP_nat_nat(suc,B)|A=B.
% 3.88/4.11 Following clause subsumed by 2331 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=A.
% 3.88/4.11 Following clause subsumed by 2335 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2335 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2335 during input processing: 0 [] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2335 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2335 during input processing: 0 [flip.1] {-} hAPP_nat_nat(suc,A)!=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2338 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.
% 3.88/4.11 Following clause subsumed by 2336 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)).
% 3.88/4.11 Following clause subsumed by 2314 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)).
% 3.88/4.11 Following clause subsumed by 2338 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.
% 3.88/4.11 Following clause subsumed by 2341 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)).
% 3.88/4.11 Following clause subsumed by 1152 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).
% 3.88/4.11 Following clause subsumed by 2349 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(suc,B))).
% 3.88/4.11 Following clause subsumed by 2348 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).
% 3.88/4.11 Following clause subsumed by 1164 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)|B!=C.
% 3.88/4.11 Following clause subsumed by 2358 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(even_odd_even_int,A))|hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))).
% 3.88/4.11 Following clause subsumed by 2359 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(even_odd_even_int,A))|hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A))).
% 3.88/4.11 Following clause subsumed by 2357 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(even_odd_even_int,A))|hBOOL(hAPP_int_bool(even_odd_even_int,B))| -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))).
% 3.88/4.11 Following clause subsumed by 2360 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|hBOOL(hAPP_int_bool(even_odd_even_int,A))| -hBOOL(hAPP_int_bool(even_odd_even_int,B)).
% 3.88/4.11 Following clause subsumed by 2361 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|hBOOL(hAPP_int_bool(even_odd_even_int,B))| -hBOOL(hAPP_int_bool(even_odd_even_int,A)).
% 3.88/4.11 Following clause subsumed by 2362 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))| -hBOOL(hAPP_int_bool(even_odd_even_int,A))| -hBOOL(hAPP_int_bool(even_odd_even_int,B)).
% 3.88/4.11 Following clause subsumed by 2373 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),zEven)).
% 3.88/4.11 Following clause subsumed by 2374 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zOdd))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven)).
% 3.88/4.11 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),zero_zero_nat)).
% 3.88/4.11 Following clause subsumed by 2380 during input processing: 0 [] {-} -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,A)),hAPP_n1108039445umeral(semiri1619134803umeral,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2386 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,A)),hAPP_n1108039445umeral(semiri1619134803umeral,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2381 during input processing: 0 [] {-} -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,A)),hAPP_nat_rat(semiri151668891at_rat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2387 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,A)),hAPP_nat_rat(semiri151668891at_rat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2382 during input processing: 0 [] {-} -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,A)),hAPP_n522471361de_int(semiri1424489471de_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2388 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,A)),hAPP_n522471361de_int(semiri1424489471de_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2383 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2389 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2384 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2390 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2385 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)).
% 3.88/4.11 Following clause subsumed by 2391 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)).
% 3.88/4.11 Following clause subsumed by 2379 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 3.88/4.11 Following clause subsumed by 2385 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)).
% 3.88/4.11 Following clause subsumed by 2391 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)).
% 3.88/4.11 Following clause subsumed by 2385 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)).
% 3.88/4.11 Following clause subsumed by 2391 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)).
% 3.88/4.11 Following clause subsumed by 2402 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)).
% 3.88/4.11 Following clause subsumed by 2403 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)).
% 3.88/4.11 Following clause subsumed by 2402 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)).
% 3.88/4.11 Following clause subsumed by 2403 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)).
% 3.88/4.11 Following clause subsumed by 2416 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 3.88/4.11 Following clause subsumed by 2415 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 3.88/4.11 Following clause subsumed by 2421 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.
% 3.88/4.11 Following clause subsumed by 1254 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(suc,zero_zero_nat)))|A!=hAPP_nat_nat(suc,zero_zero_nat).
% 3.88/4.11 Following clause subsumed by 2428 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_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.
% 3.88/4.11 Following clause subsumed by 2429 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_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).
% 3.88/4.11 Following clause subsumed by 2430 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)!=hAPP_nat_nat(suc,zero_zero_nat)|B=zero_zero_nat|A=zero_zero_nat.
% 3.88/4.11 Following clause subsumed by 2431 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_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).
% 3.88/4.11 Following clause subsumed by 2432 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_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.
% 3.88/4.11 Following clause subsumed by 2433 during input processing: 0 [flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_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).
% 3.88/4.11 Following clause subsumed by 2344 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),hAPP_nat_nat(suc,A)))|B!=A.
% 3.88/4.11 Following clause subsumed by 2440 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)).
% 3.88/4.11 Following clause subsumed by 2442 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)).
% 3.88/4.11 Following clause subsumed by 2443 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_eq_nat,A),B)).
% 3.88/4.11 Following clause subsumed by 2442 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)).
% 3.88/4.11 Following clause subsumed by 2440 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)).
% 3.88/4.12 Following clause subsumed by 1204 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 3.88/4.12 Following clause subsumed by 1192 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,A)),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 3.88/4.12 Following clause subsumed by 2366 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)))|hBOOL(hAPP_int_bool(even_odd_even_int,A)).
% 3.88/4.12 Following clause subsumed by 2354 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C),hAPP_nat_nat(suc,B))| -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),C))|A=C.
% 3.88/4.12 Following clause subsumed by 2455 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C),hAPP_nat_nat(suc,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,A),C)).
% 3.88/4.12 Following clause subsumed by 2490 during input processing: 0 [] {-} -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,A))=A.
% 3.88/4.12 Following clause subsumed by 2471 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,B)),hAPP_nat_int(semiri1621563631at_int,A)).
% 3.88/4.12 Following clause subsumed by 2522 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.88/4.12 Following clause subsumed by 2523 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 3.88/4.12 Following clause subsumed by 2572 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(hAPP_nat_fun_nat_nat(minus_minus_nat,A),one_one_nat))=A.
% 3.88/4.12 Following clause subsumed by 2167 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),A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),A)=zero_zero_nat.
% 3.88/4.12 Following clause subsumed by 2575 during input processing: 0 [flip.3] {-} -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),A))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B),A)),A))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),A).
% 3.88/4.12 Following clause subsumed by 2572 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,A)))|hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,A)),one_one_nat))=hAPP_int_nat(number_number_of_nat,A).
% 3.88/4.12 Following clause subsumed by 2201 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),C)))|C!=zero_zero_nat| -hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 3.88/4.14 Following clause subsumed by 2578 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hAPP_int_int(nat_tsub(B),A)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),A).
% 3.88/4.14 Following clause subsumed by 2322 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 3.88/4.14 Following clause subsumed by 2323 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 3.88/4.14 Following clause subsumed by 2322 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 3.88/4.14 Following clause subsumed by 2323 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 3.88/4.14 Following clause subsumed by 2734 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(sqrt,A)),hAPP_real_real(sqrt,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B)).
% 3.88/4.14 Following clause subsumed by 2738 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,A)),hAPP_real_real(sqrt,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 3.88/4.14 Following clause subsumed by 2736 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))|hAPP_real_real(sqrt,A)!=zero_zero_real|A=zero_zero_real.
% 3.88/4.14 Following clause subsumed by 2742 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(sqrt,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A)).
% 3.88/4.14 Following clause subsumed by 2746 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 3.88/4.14 Following clause subsumed by 2751 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),hAPP_real_real(sqrt,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A)).
% 3.88/4.14 Following clause subsumed by 2760 during input processing: 0 [] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,A)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=A| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A)).
% 3.88/4.14 Following clause subsumed by 1182 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|B!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C).
% 3.88/4.14 Following clause subsumed by 2844 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),hAPP_real_real(ln,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A)).
% 3.88/4.14 Following clause subsumed by 2849 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,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,A)),zero_zero_real)).
% 3.88/4.14 Following clause subsumed by 2845 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A)).
% 3.88/4.14 Following clause subsumed by 2860 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_eq_real,zero_zero_real),hAPP_real_real(ln,A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A)).
% 3.96/4.15 Following clause subsumed by 2843 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_eq_real,zero_zero_real),hAPP_real_real(ln,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,one_one_real),A)).
% 3.96/4.15 Following clause subsumed by 2905 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hAPP_real_real(uminus_uminus_real,A)=hAPP_real_real(abs_abs_real,A).
% 3.96/4.15 Following clause subsumed by 2921 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,A))).
% 3.96/4.15 Following clause subsumed by 2922 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(arcsin,A)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 3.96/4.15 Following clause subsumed by 2937 during input processing: 0 [] {-} hAPP_int_int(div_mod_int(A),B)!=zero_zero_int|hAPP_int_int(div_mod_int(A),hAPP_int_int(uminus_uminus_int,B))=zero_zero_int.
% 3.96/4.15 Following clause subsumed by 2936 during input processing: 0 [] {-} hAPP_int_int(div_mod_int(A),B)!=zero_zero_int|hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A)),B)=zero_zero_int.
% 3.96/4.15 Following clause subsumed by 2963 during input processing: 0 [] {-} A=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_real_real(sgn_sgn_real,A)=one_one_real.
% 3.96/4.15 Following clause subsumed by 2967 during input processing: 0 [] {-} A!=zero_zero_real|hAPP_real_real(sgn_sgn_real,A)=zero_zero_real.
% 3.96/4.15 Following clause subsumed by 2963 during input processing: 0 [] {-} A=zero_zero_real| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_real_real(sgn_sgn_real,A)=one_one_real.
% 3.96/4.15 Following clause subsumed by 2984 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(arccos,A))).
% 3.96/4.15 Following clause subsumed by 2986 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(arccos,A)),pi)).
% 3.96/4.15 Following clause subsumed by 2990 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))| -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(tan,A)),hAPP_real_real(tan,B))).
% 3.96/4.15 Following clause subsumed by 2984 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(arccos,A))).
% 3.96/4.15 Following clause subsumed by 2986 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(arccos,A)),pi)).
% 3.96/4.15 Following clause subsumed by 2985 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hAPP_real_real(cos,hAPP_real_real(arccos,A))=A.
% 3.96/4.15 Following clause subsumed by 3027 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)).
% 3.96/4.15 Following clause subsumed by 3028 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))).
% 3.96/4.15 Following clause subsumed by 2921 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,A))).
% 3.96/4.15 Following clause subsumed by 3049 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hAPP_real_real(sin,hAPP_real_real(arcsin,A))=A.
% 3.96/4.15 Following clause subsumed by 2921 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,A))).
% 3.96/4.15 Following clause subsumed by 2922 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(arcsin,A)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 3.96/4.15 Following clause subsumed by 3049 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_int_real(number267125858f_real,min)),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),one_one_real))|hAPP_real_real(sin,hAPP_real_real(arcsin,A))=A.
% 3.96/4.16 Following clause subsumed by 3098 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 3.96/4.16 Following clause subsumed by 3097 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 3.96/4.16 Following clause subsumed by 3096 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 3.96/4.16 Following clause subsumed by 3097 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 3.96/4.16 Following clause subsumed by 3098 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,B))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,A)).
% 3.96/4.16 Following clause subsumed by 3096 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 3.96/4.16 Following clause subsumed by 3110 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,A))).
% 3.96/4.16 Following clause subsumed by 3109 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,A))).
% 3.96/4.16 Following clause subsumed by 3116 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hAPP_nat_nat(div_mod_nat(A),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat.
% 3.96/4.16 Following clause subsumed by 3129 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A)).
% 3.96/4.16 Following clause subsumed by 3130 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A)).
% 3.96/4.16 Following clause subsumed by 3165 during input processing: 0 [] {-} hAPP_real_real(exp_real,A)!=B|hAPP_real_real(ln,B)=A.
% 3.96/4.16 Following clause subsumed by 3168 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,A)),hAPP_real_real(exp_real,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 3.96/4.16 Following clause subsumed by 3164 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,A)),hAPP_real_real(exp_real,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 3.96/4.16 Following clause subsumed by 3181 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 3.96/4.16 Following clause subsumed by 3186 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_real_real(exp_real,hAPP_real_real(ln,A))=A.
% 3.96/4.16 Following clause subsumed by 3251 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(hAPP_n546711566l_real(root,A),B)),hAPP_real_real(hAPP_n546711566l_real(root,A),C))).
% 3.99/4.18 Following clause subsumed by 3255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),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(hAPP_n546711566l_real(root,A),B)),hAPP_real_real(hAPP_n546711566l_real(root,A),C))).
% 3.99/4.18 Following clause subsumed by 3269 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),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(hAPP_n546711566l_real(root,A),B))).
% 3.99/4.18 Following clause subsumed by 3273 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),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(hAPP_n546711566l_real(root,A),B))).
% 3.99/4.18 Following clause subsumed by 3255 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),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_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,A),B)),hAPP_real_real(hAPP_n546711566l_real(root,A),C))).
% 3.99/4.18 Following clause subsumed by 3257 during input processing: 0 [flip.4] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),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),C))|hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,A),B)),hAPP_real_real(hAPP_n546711566l_real(root,A),C))=hAPP_real_real(hAPP_n546711566l_real(root,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 3.99/4.18 Following clause subsumed by 3258 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_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),C)=hAPP_real_real(hAPP_n546711566l_real(root,A),hAPP_real_real(hAPP_n546711566l_real(root,B),C)).
% 3.99/4.18 Following clause subsumed by 3267 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hAPP_real_real(hAPP_n546711566l_real(root,A),hAPP_real_real(inverse_inverse_real,B))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,A),B)).
% 3.99/4.18 Following clause subsumed by 3466 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B)).
% 3.99/4.18 Following clause subsumed by 3465 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),C)).
% 3.99/4.18 Following clause subsumed by 3467 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),C)).
% 3.99/4.18 Following clause subsumed by 3470 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,B),A)).
% 3.99/4.19 Following clause subsumed by 3472 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C),hAPP_nat_nat(suc,B))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),C)).
% 3.99/4.19 Following clause subsumed by 3509 during input processing: 0 [flip.1] {-} code_S1047413653umeral(A)!=zero_z126310315umeral.
% 3.99/4.19 Following clause subsumed by 3512 during input processing: 0 [] {-} hAPP_complex_real(re,A)!=hAPP_complex_real(re,B)|hAPP_complex_real(im,A)!=hAPP_complex_real(im,B)|A=B.
% 3.99/4.19 Following clause subsumed by 1186 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(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 3.99/4.19 Following clause subsumed by 1173 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(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 3.99/4.19 Following clause subsumed by 1174 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(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B))).
% 3.99/4.19 Following clause subsumed by 1179 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)).
% 3.99/4.19 Following clause subsumed by 1185 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(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))).
% 3.99/4.19 Following clause subsumed by 536 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 543 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3529 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3529 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3532 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 3536 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))| -hBOOL(hAPP_nat_bool(prime,C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B)).
% 3.99/4.19 Following clause subsumed by 3537 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))|B=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B)).
% 3.99/4.19 Following clause subsumed by 3532 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(prime,A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 3636 during input processing: 0 [] {-} quickcheck_int_of(A)!=quickcheck_int_of(B)|A=B.
% 3.99/4.19 Following clause subsumed by 3637 during input processing: 0 [] {-} quickcheck_int_of(A)=quickcheck_int_of(B)|A!=B.
% 3.99/4.19 Following clause subsumed by 3710 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3709 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 3712 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C))).
% 3.99/4.19 Following clause subsumed by 3712 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C))).
% 3.99/4.19 Following clause subsumed by 3709 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 3710 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3712 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3709 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 3.99/4.19 Following clause subsumed by 3710 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3712 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.19 Following clause subsumed by 3714 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=A.
% 3.99/4.19 Following clause subsumed by 3724 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=zero_zero_nat|A=zero_zero_nat.
% 3.99/4.19 Following clause subsumed by 3725 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=zero_zero_nat|B=zero_zero_nat.
% 3.99/4.19 Following clause subsumed by 3726 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 3.99/4.19 Following clause subsumed by 3728 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|C=one_one_nat.
% 3.99/4.21 Following clause subsumed by 3734 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),C)!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=one_one_nat.
% 3.99/4.21 Following clause subsumed by 3732 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=one_one_nat.
% 3.99/4.21 Following clause subsumed by 3733 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))!=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),C)=one_one_nat.
% 3.99/4.21 Following clause subsumed by 536 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.21 Following clause subsumed by 3746 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 3.99/4.21 Following clause subsumed by 3779 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,one_one_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,C),A)),hAPP_real_real(hAPP_r1250527377l_real(powr,C),B))).
% 3.99/4.21 Following clause subsumed by 3778 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,A),B)),hAPP_real_real(hAPP_r1250527377l_real(powr,A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 3.99/4.21 Following clause subsumed by 3783 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)).
% 3.99/4.21 Following clause subsumed by 3782 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)).
% 3.99/4.21 Following clause subsumed by 3787 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)).
% 3.99/4.21 Following clause subsumed by 3786 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))).
% 3.99/4.21 Following clause subsumed by 3816 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,A)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,B)),one_one_real))).
% 3.99/4.21 Following clause subsumed by 3867 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(legacy_zgcd(B),C))).
% 3.99/4.21 Following clause subsumed by 615 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hAPP_int_int(legacy_zgcd(B),A)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),D),A)).
% 4.07/4.26 Following clause subsumed by 616 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hAPP_int_int(legacy_zgcd(B),A)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D)),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),D),A)).
% 4.07/4.26 Following clause subsumed by 3882 during input processing: 0 [] {-} hAPP_int_int(legacy_zgcd(A),B)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 4.07/4.26 Following clause subsumed by 3997 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(is_RRset(B),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),B))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(B,A),C)),hAPP_i1948725293t_bool(norRRset,A))).
% 4.07/4.26 Following clause subsumed by 3996 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(is_RRset(B),A))| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,C),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(rRset2norRR(B,A),C)),A)).
% 4.07/4.26 Following clause subsumed by 4024 during input processing: 0 [] {-} -hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))| -is_int(B)| -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)).
% 4.07/4.26 Following clause subsumed by 4028 during input processing: 0 [] {-} -hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A),B)))|B!=zero_zero_nat|hAPP_nat_nat(nat_gcd(A),B)=A.
% 4.07/4.26 Following clause subsumed by 4074 during input processing: 0 [] {-} quotient_of(A)!=quotient_of(B)|A=B.
% 4.07/4.26 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))| -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,A),B))|A=B.
% 4.07/4.26 Following clause subsumed by 3573 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|divmod_nat(A,B)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),A).
% 4.07/4.26 Following clause subsumed by 4208 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|B!=zero_zero_int|divmod_int(B,A)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int).
% 4.07/4.26 Following clause subsumed by 4209 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|B=zero_zero_int|A!=zero_zero_int|divmod_int(B,A)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),B).
% 4.07/4.26 Following clause subsumed by 4409 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)).
% 4.07/4.26 Following clause subsumed by 4408 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 4.07/4.26 Following clause subsumed by 4410 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 4.07/4.26 Following clause subsumed by 4417 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)=one_one_int.
% 8.84/9.07 Following clause subsumed by 4416 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),C)=one_one_int.
% 8.84/9.07 Following clause subsumed by 4418 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)!=one_one_int|hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),C)!=one_one_int.
% 8.84/9.07 Following clause subsumed by 4422 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)!=one_one_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 8.84/9.07 Following clause subsumed by 535 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)!=one_one_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 8.84/9.07 Following clause subsumed by 7109 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,A)),zero_zero_real)).
% 8.84/9.07 Following clause subsumed by 7109 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,A)),B)).
% 8.84/9.07 Following clause subsumed by 7109 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,A)),B)).
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 7175 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 8.84/9.07 Following clause subsumed by 244 during input processing: 0 [copy,243,flip.1] {-} hAPP_int_int(bit0,A)!=hAPP_int_int(bit1,B).
% 8.84/9.07 Following clause subsumed by 243 during input processing: 0 [copy,244,flip.1] {-} hAPP_int_int(bit1,A)!=hAPP_int_int(bit0,B).
% 8.84/9.07 387 back subsumes 32.
% 8.84/9.07 393 back subsumes 34.
% 8.84/9.07 399 back subsumes 36.
% 8.84/9.07 405 back subsumes 38.
% 8.84/9.07 477 back subsumes 235.
% 8.84/9.07 479 back subsumes 473.
% 8.84/9.07 519 back subsumes 387.
% 8.84/9.07 520 back subsumes 393.
% 8.84/9.07 521 back subsumes 399.
% 8.84/9.07 522 back subsumes 405.
% 8.84/9.07 864 back subsumes 388.
% 8.84/9.07 865 back subsumes 389.
% 8.84/9.07 866 back subsumes 390.
% 8.84/9.07 867 back subsumes 391.
% 8.84/9.07 868 back subsumes 392.
% 8.84/9.07 869 back subsumes 394.
% 8.84/9.07 870 back subsumes 395.
% 8.84/9.07 871 back subsumes 396.
% 8.84/9.07 872 back subsumes 397.
% 8.84/9.07 873 back subsumes 398.
% 8.84/9.07 874 back subsumes 400.
% 8.84/9.07 875 back subsumes 401.
% 8.84/9.07 876 back subsumes 402.
% 8.84/9.07 877 back subsumes 403.
% 8.84/9.07 878 back subsumes 404.
% 8.84/9.07 879 back subsumes 406.
% 8.84/9.07 880 back subsumes 407.
% 8.84/9.07 891 back subsumes 443.
% 8.84/9.07 955 back subsumes 208.
% 8.84/9.07 956 back subsumes 209.
% 8.84/9.07 957 back subsumes 210.
% 8.84/9.07 958 back subsumes 211.
% 8.84/9.07 959 back subsumes 212.
% 8.84/9.07 960 back subsumes 213.
% 8.84/9.07 991 back subsumes 412.
% 8.84/9.07 992 back subsumes 413.
% 8.84/9.07 993 back subsumes 414.
% 8.84/9.07 994 back subsumes 415.
% 8.84/9.07 995 back subsumes 416.
% 8.84/9.07 996 back subsumes 417.
% 8.84/9.07 997 back subsumes 418.
% 8.84/9.07 1014 back subsumes 444.
% 8.84/9.07 1062 back subsumes 790.
% 8.84/9.07 1062 back subsumes 736.
% 8.84/9.07 1062 back subsumes 716.
% 8.84/9.07 1174 back subsumes 779.
% 8.84/9.07 1191 back subsumes 663.
% 8.84/9.07 1192 back subsumes 657.
% 8.84/9.07 1193 back subsumes 645.
% 8.84/9.07 1193 back subsumes 639.
% 8.84/9.07 1201 back subsumes 725.
% 8.84/9.07 1202 back subsumes 730.
% 8.84/9.07 1204 back subsumes 905.
% 8.84/9.07 1206 back subsumes 911.
% 8.84/9.07 1254 back subsumes 1070.
% 25.75/25.94 1287 back subsumes 1286.
% 25.75/25.94 1327 back subsumes 992.
% 25.75/25.94 1341 back subsumes 991.
% 25.75/25.94 1342 back subsumes 993.
% 25.75/25.94 1343 back subsumes 994.
% 25.75/25.94 1344 back subsumes 995.
% 25.75/25.94 1345 back subsumes 996.
% 25.75/25.94 1346 back subsumes 997.
% 25.75/25.94 1380 back subsumes 1370.
% 25.75/25.94 1381 back subsumes 1371.
% 25.75/25.94 1383 back subsumes 1372.
% 25.75/25.94 1384 back subsumes 1373.
% 25.75/25.94 1385 back subsumes 1374.
% 25.75/25.94 1386 back subsumes 1375.
% 25.75/25.94 1387 back subsumes 1376.
% 25.75/25.94 1388 back subsumes 1377.
% 25.75/25.94 1389 back subsumes 1378.
% 25.75/25.94 1390 back subsumes 1379.
% 25.75/25.94 1549 back subsumes 410.
% 25.75/25.94 1825 back subsumes 1823.
% 25.75/25.94 2139 back subsumes 1676.
% 25.75/25.94 2146 back subsumes 2144.
% 25.75/25.94 2146 back subsumes 1678.
% 25.75/25.94 2218 back subsumes 2217.
% 25.75/25.94 2221 back subsumes 2195.
% 25.75/25.94 2222 back subsumes 2196.
% 25.75/25.94 2250 back subsumes 2157.
% 25.75/25.94 2344 back subsumes 2343.
% 25.75/25.94 2703 back subsumes 2702.
% 25.75/25.94 3159 back subsumes 3152.
% 25.75/25.94 3532 back subsumes 3513.
% 25.75/25.94 3709 back subsumes 3708.
% 25.75/25.94 3710 back subsumes 3706.
% 25.75/25.94 3715 back subsumes 3705.
% 25.75/25.94 3716 back subsumes 3707.
% 25.75/25.94 4173 back subsumes 4166.
% 25.75/25.94 4174 back subsumes 4167.
% 25.75/25.94 4175 back subsumes 4168.
% 25.75/25.94 4176 back subsumes 4169.
% 25.75/25.94 7318 back subsumes 7260.
% 25.75/25.94 7342 back subsumes 7210.
% 25.75/25.94 7385 back subsumes 7360.
% 25.75/25.94 7388 back subsumes 7365.
% 25.75/25.94 7391 back subsumes 7370.
% 25.75/25.94 7394 back subsumes 7375.
% 25.75/25.94 7397 back subsumes 7380.
% 25.75/25.94 7457 back subsumes 7309.
% 25.75/25.94 7457 back subsumes 7306.
% 25.75/25.94 7457 back subsumes 7264.
% 25.75/25.94 8026 back subsumes 7910.
% 25.75/25.94 8026 back subsumes 7900.
% 25.75/25.94 8026 back subsumes 7898.
% 25.75/25.94 8026 back subsumes 7785.
% 25.75/25.94 8026 back subsumes 7779.
% 25.75/25.94 8027 back subsumes 8024.
% 25.75/25.94 8348 back subsumes 8345.
% 25.75/25.94
% 25.75/25.94 ------------> process sos:
% 25.75/25.94 Following clause subsumed by 9662 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 25.75/25.94 Following clause subsumed by 9684 during input processing: 0 [demod,9666] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)).
% 25.75/25.94 Following clause subsumed by 9719 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(number_number_of_int,C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(number_number_of_int,C))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(number_number_of_int,C))).
% 25.75/25.94 Following clause subsumed by 9843 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A).
% 25.75/25.94 Following clause subsumed by 9845 during input processing: 0 [demod,9818,9792] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),A)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),A).
% 25.75/25.94 Following clause subsumed by 9846 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A).
% 25.75/25.94 Following clause subsumed by 9848 during input processing: 0 [demod,9851,9810] {-} hAPP_int_int(bit0,A)=hAPP_int_int(bit0,A).
% 25.75/25.94 Following clause subsumed by 9710 during input processing: 0 [demod,9708] {-} zero_zero_nat=zero_zero_nat.
% 25.75/25.94 Following clause subsumed by 9885 during input processing: 0 [demod,9772,9805,9805] {-} pls=pls.
% 25.75/25.94 Following clause subsumed by 9885 during input processing: 0 [demod,9805,9772,9805] {-} pls=pls.
% 25.75/25.94 Following clause subsumed by 9893 during input processing: 0 [demod,9887] {-} zero_zero_real=zero_zero_real.
% 25.75/25.94 Following clause subsumed by 9895 during input processing: 0 [demod,9889] {-} zero_zero_complex=zero_zero_complex.
% 25.75/25.94 Following clause subsumed by 9897 during input processing: 0 [demod,9891] {-} zero_zero_rat=zero_zero_rat.
% 25.75/25.97 Following clause subsumed by 9929 during input processing: 0 [demod,9718] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 25.75/25.97 Following clause subsumed by 9684 during input processing: 0 [demod,9875,9666,9666] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),A))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),A)).
% 25.75/25.97 Following clause subsumed by 9695 during input processing: 0 [demod,9883] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,A))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,A)).
% 25.75/25.97 Following clause subsumed by 10016 during input processing: 0 [demod,9999,10005] {-} one_one_real=one_one_real.
% 25.75/25.97 Following clause subsumed by 10018 during input processing: 0 [demod,9999,10008] {-} one_one_complex=one_one_complex.
% 25.75/25.97 Following clause subsumed by 10020 during input processing: 0 [demod,9999,10011] {-} one_one_rat=one_one_rat.
% 25.75/25.97 Following clause subsumed by 9845 during input processing: 0 [demod,9999,9818,10008,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex).
% 25.75/25.97 Following clause subsumed by 9848 during input processing: 0 [demod,9810,9999,10025] {-} hAPP_int_int(bit0,one_one_int)=hAPP_int_int(bit0,one_one_int).
% 25.75/25.97 Following clause subsumed by 9980 during input processing: 0 [demod,10030,9999] {-} hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int))=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int)).
% 25.75/25.97 Following clause subsumed by 9845 during input processing: 0 [demod,9999,9818,10008,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex).
% 25.75/25.97 Following clause subsumed by 9985 during input processing: 0 [demod,10033,9999] {-} hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,one_one_int))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,one_one_int)).
% 25.75/25.97 Following clause subsumed by 10116 during input processing: 0 [] {-} hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),C)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.75/25.97 Following clause subsumed by 10165 during input processing: 0 [demod,9668] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 25.75/25.97 Following clause subsumed by 9663 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A).
% 25.75/25.97 Following clause subsumed by 9769 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A).
% 25.75/25.97 Following clause subsumed by 9768 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)).
% 25.75/25.97 Following clause subsumed by 10217 during input processing: 0 [demod,9767] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10199 during input processing: 0 [demod,9999,10060,9999,10081] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)).
% 25.75/25.99 Following clause subsumed by 10195 during input processing: 0 [demod,9999,10057,9999,10078] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)).
% 25.75/25.99 Following clause subsumed by 9663 during input processing: 0 [demod,9999,10066,9999,10086] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.75/25.99 Following clause subsumed by 10198 during input processing: 0 [demod,9999,10075,9999,10093] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)).
% 25.75/25.99 Following clause subsumed by 9885 during input processing: 0 [demod,9805,9714,9805] {-} pls=pls.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9903] {-} A=A.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9906] {-} A=A.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9909] {-} A=A.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9912] {-} A=A.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9915] {-} A=A.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9722] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 25.75/25.99 Following clause subsumed by 9719 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9670] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)).
% 25.75/25.99 Following clause subsumed by 9662 during input processing: 0 [demod,9805,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 25.75/25.99 Following clause subsumed by 9662 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)).
% 25.75/25.99 Following clause subsumed by 10513 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9805,10313,9805] {-} pls=pls.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10315] {-} zero_zero_nat=zero_zero_nat.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10317] {-} zero_zero_real=zero_zero_real.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10319] {-} zero_z126310315umeral=zero_z126310315umeral.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10321] {-} zero_zero_complex=zero_zero_complex.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10323] {-} zero_z891286103de_int=zero_z891286103de_int.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10325] {-} zero_zero_rat=zero_zero_rat.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,9805,9714,9805] {-} pls=pls.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10300] {-} zero_zero_nat=zero_zero_nat.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10302] {-} zero_zero_real=zero_zero_real.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10304] {-} zero_z126310315umeral=zero_z126310315umeral.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10306] {-} zero_zero_complex=zero_zero_complex.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10308] {-} zero_z891286103de_int=zero_z891286103de_int.
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10310] {-} zero_zero_rat=zero_zero_rat.
% 25.75/25.99 Following clause subsumed by 10358 during input processing: 0 [] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C)).
% 25.75/25.99 Following clause subsumed by 9719 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10359 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.75/25.99 Following clause subsumed by 10360 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.75/25.99 Following clause subsumed by 10361 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 25.75/25.99 Following clause subsumed by 10362 during input processing: 0 [] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10363 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10396] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),C)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10398] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10401] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),C).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10403] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),C)).
% 25.75/25.99 Following clause subsumed by 10404 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),C)).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10407] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),C).
% 25.75/25.99 Following clause subsumed by 10331 during input processing: 0 [demod,10409] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),C)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),C)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,B),C)).
% 25.75/25.99 Following clause subsumed by 10195 during input processing: 0 [] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)).
% 25.75/25.99 Following clause subsumed by 10199 during input processing: 0 [] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)).
% 25.75/25.99 Following clause subsumed by 10200 during input processing: 0 [] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),B)).
% 25.81/26.00 Following clause subsumed by 9663 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.81/26.00 Following clause subsumed by 10196 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)).
% 25.81/26.00 Following clause subsumed by 10197 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)),A)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),B)).
% 25.81/26.00 Following clause subsumed by 10198 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10115] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10118] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10120] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10274] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10276] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10278] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10280] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10282] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10284] {-} A=A.
% 25.81/26.00 Following clause subsumed by 10479 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),one_one_int)).
% 25.81/26.00 Following clause subsumed by 9948 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),one_one_int)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10426] {-} one_one_int=one_one_int.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10428] {-} one_one_nat=one_one_nat.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10430] {-} one_one_real=one_one_real.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10432] {-} one_on1645066479umeral=one_on1645066479umeral.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10434] {-} one_one_complex=one_one_complex.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10436] {-} one_on1684967323de_int=one_on1684967323de_int.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10438] {-} one_one_rat=one_one_rat.
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10412] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10415] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10417] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,9670] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10419] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10421] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10424] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),C)).
% 25.81/26.00 Following clause subsumed by 10496 during input processing: 0 [demod,9712,9999] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,one_one_int)))).
% 25.81/26.00 Following clause subsumed by 10331 during input processing: 0 [demod,10668] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),C)).
% 25.81/26.00 Following clause subsumed by 10665 during input processing: 0 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),hAPP_int_int(number_number_of_int,C))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(number_number_of_int,C))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(number_number_of_int,C))).
% 25.81/26.00 Following clause subsumed by 10702 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)).
% 25.81/26.00 Following clause subsumed by 10702 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)).
% 25.81/26.00 Following clause subsumed by 10202 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A).
% 25.81/26.01 Following clause subsumed by 10208 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10220] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10196 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),A).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10167] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10705 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10329] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10337] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10649 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10300] {-} zero_zero_nat=zero_zero_nat.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10315] {-} zero_zero_nat=zero_zero_nat.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10345] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10359 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10372] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10384] {-} A=A.
% 25.81/26.01 Following clause subsumed by 9662 during input processing: 0 [demod,9805,9772,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 25.81/26.01 Following clause subsumed by 10523 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),A)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10374] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10197 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),A).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10169] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.01 Following clause subsumed by 10360 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.01 Following clause subsumed by 10775 during input processing: 0 [flip.2] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),one_one_nat)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),A).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10533] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)),D))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)),D)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10163] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9668] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10167] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10169] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10171] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10173] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10175] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10215] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9767] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10220] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10223] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10226] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10229] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10232] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C)).
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10335] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10337] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9909] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9912] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10339] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9915] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10335] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10337] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9909] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9912] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10339] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9915] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10327] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10329] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9900] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9903] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10333] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9906] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10327] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10329] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9900] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9903] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10333] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,9906] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10384] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10386] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10388] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10390] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10392] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10394] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10384] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10386] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10388] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10390] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10392] {-} A=A.
% 25.81/26.01 Following clause subsumed by 10331 during input processing: 0 [demod,10394] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10372] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10374] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10376] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10378] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10380] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10382] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10372] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10374] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10376] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10378] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10380] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10382] {-} A=A.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10302] {-} zero_zero_real=zero_zero_real.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10306] {-} zero_zero_complex=zero_zero_complex.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10302] {-} zero_zero_real=zero_zero_real.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10306] {-} zero_zero_complex=zero_zero_complex.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10317] {-} zero_zero_real=zero_zero_real.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10321] {-} zero_zero_complex=zero_zero_complex.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10317] {-} zero_zero_real=zero_zero_real.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10321] {-} zero_zero_complex=zero_zero_complex.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10348] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10351] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10348] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10351] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10360 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10361 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10360 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10361 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10863 during input processing: 0 [] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10864 during input processing: 0 [] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10867] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),C)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10870] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B),C)).
% 25.81/26.02 Following clause subsumed by 10504 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)).
% 25.81/26.02 Following clause subsumed by 10504 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)).
% 25.81/26.02 Following clause subsumed by 10580 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)).
% 25.81/26.02 Following clause subsumed by 10580 during input processing: 0 [] {-} A=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10886,9805] {-} pls=pls.
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10904] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10906] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10908] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10910] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10912] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10914] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,9767,10917] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,9767,10920] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10952,10964] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10955,10967] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),C)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10958,10970] {-} hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),C)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10961,10973] {-} hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),C)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10964] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),B)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),B).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10967] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),B)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),B).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10970] {-} hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)),B)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)),B).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10973] {-} hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)),B)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)),B).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10995,10987] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10997,10989] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,10999,10991] {-} hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C).
% 25.81/26.02 Following clause subsumed by 10331 during input processing: 0 [demod,11001,10993] {-} hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10987] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10989] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10991] {-} hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10993] {-} hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10995] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10997] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10999] {-} hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,11001] {-} hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10928,9805] {-} pls=pls.
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,9805,10943,9805] {-} pls=pls.
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10952] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,10952] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,11023] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),C)),B)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),C)),B).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,11026] {-} hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),C).
% 25.81/26.03 Following clause subsumed by 10331 during input processing: 0 [demod,9805,11029,9805] {-} pls=pls.
% 25.81/26.03 Following clause subsumed by 11103 during input processing: 0 [] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),C).
% 25.81/26.04 Following clause subsumed by 11104 during input processing: 0 [] {-} A=zero_z126310315umeral|hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B),C).
% 25.81/26.04 Following clause subsumed by 11105 during input processing: 0 [] {-} A=zero_z891286103de_int|hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B),C).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,10910] {-} A=A.
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,10912] {-} A=A.
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,10914] {-} A=A.
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,10977] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(div_mod_nat(B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(div_mod_nat(B),C)).
% 25.81/26.04 Following clause subsumed by 11103 during input processing: 0 [] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),C).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,9805,11168] {-} zero_zero_nat=zero_zero_nat.
% 25.81/26.04 Following clause subsumed by 11173 during input processing: 0 [flip.2] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)),B)=hAPP_nat_nat(div_mod_nat(A),B).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,11177] {-} hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A))=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A)).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,9988,10014,9999,9988,10014] {-} hAPP_int_nat(nat,hAPP_int_int(bit1,one_one_int))=hAPP_int_nat(nat,hAPP_int_int(bit1,one_one_int)).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,10025,9999,10025] {-} hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))=hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)).
% 25.81/26.04 Following clause subsumed by 11209 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(A),B)).
% 25.81/26.04 Following clause subsumed by 11210 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(A),B)).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,11226,11233,11226,9639,9999] {-} hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A)))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A))).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,11231,11233,11231,9644,9999] {-} hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A)))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A))).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,11233] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,A)).
% 25.81/26.04 Following clause subsumed by 10331 during input processing: 0 [demod,11253] {-} hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,10755,11253,11256,10755] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 25.81/26.05 Following clause subsumed by 11262 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|hBOOL(hAPP_int_bool(even_odd_even_int,A))|hBOOL(hAPP_int_bool(even_odd_even_int,B)).
% 25.81/26.05 Following clause subsumed by 11265 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven)).
% 25.81/26.05 Following clause subsumed by 11265 during input processing: 0 [] {-} hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven)).
% 25.81/26.05 Following clause subsumed by 10649 during input processing: 0 [demod,11221,11223,11247] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 25.81/26.05 Following clause subsumed by 11267 during input processing: 0 [demod,11231] {-} hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_eq_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,hAPP_nat_int(semiri1621563631at_int,A)))).
% 25.81/26.05 Following clause subsumed by 11268 during input processing: 0 [] {-} hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,A))).
% 25.81/26.05 Following clause subsumed by 11269 during input processing: 0 [] {-} hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,A))).
% 25.81/26.05 Following clause subsumed by 11271 during input processing: 0 [demod,11226] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_int_real(number267125858f_real,hAPP_nat_int(semiri1621563631at_int,A)))).
% 25.81/26.05 Following clause subsumed by 10649 during input processing: 0 [demod,11221,11223,11247] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 25.81/26.05 Following clause subsumed by 11273 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11221,11223,11247] {-} zero_zero_nat=zero_zero_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11221,11223,11247,11221,11223,11247,11221,11223,11247] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11221,11223,11247,11221,11223,11247,11221,11223,11247] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11221,11223,11247] {-} one_one_nat=one_one_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11288,9805] {-} pls=pls.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,9805,11288] {-} pls=pls.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11221,11223,11247,11221,11223,11247] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B).
% 25.81/26.05 Following clause subsumed by 11273 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 25.81/26.05 Following clause subsumed by 11273 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11316] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11316] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11316] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10199 during input processing: 0 [demod,11364] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10195 during input processing: 0 [demod,11366] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)).
% 25.81/26.05 Following clause subsumed by 10198 during input processing: 0 [demod,11371] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)).
% 25.81/26.05 Following clause subsumed by 9663 during input processing: 0 [demod,11379] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11364] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11366] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11369] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11371] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11374] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11377] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11379] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A).
% 25.81/26.05 Following clause subsumed by 10199 during input processing: 0 [demod,11364,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10195 during input processing: 0 [demod,11366,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11382] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10198 during input processing: 0 [demod,11371,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11385] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11388] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 9663 during input processing: 0 [demod,11379,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10199 during input processing: 0 [demod,11364] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10195 during input processing: 0 [demod,11366] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11382] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10198 during input processing: 0 [demod,11371] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11385] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11388] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 9663 during input processing: 0 [demod,11379] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11302] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11302,9767] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,B)),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,B)),C)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11302] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11330] {-} one_one_int=one_one_int.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11330] {-} one_one_int=one_one_int.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,10755,11403] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(suc,B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(suc,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11407] {-} hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11393,11049] {-} A=A.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11393,11080] {-} zero_zero_nat=zero_zero_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11393,10563,11393] {-} one_one_nat=one_one_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11344] {-} hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11344] {-} hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11344] {-} hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,A)),B).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11410] {-} hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11180,11393] {-} one_one_nat=one_one_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,10014,11180,11393] {-} one_one_nat=one_one_nat.
% 25.81/26.05 Following clause subsumed by 10331 during input processing: 0 [demod,11393,11393,10220,11148,11400] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A)),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A)),B).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,11393,11445,9999,11177,10025] {-} hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))=hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,11177,9999,11177,9988,10014,11426,11177] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B))).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,9988,10014,11426] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),B).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,9988,10014,11426] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,B))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,B)))).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,11177,9999,11177,9988,10014,11426,11177] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B)))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B))).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,9988,10014,11426] {-} hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),B)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,A)))),B).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,9988,10014,11426] {-} hAPP_nat_nat(div_mod_nat(A),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,B))))=hAPP_nat_nat(div_mod_nat(A),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,B)))).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,10025,11393,11445] {-} hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))=hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)).
% 25.89/26.07 Following clause subsumed by 11532 during input processing: 0 [demod,11177,11403,11177] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|hAPP_nat_nat(suc,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A)))=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(succ,A))).
% 25.89/26.07 Following clause subsumed by 11549 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))))))).
% 25.89/26.07 Following clause subsumed by 11551 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))))))).
% 25.89/26.07 Following clause subsumed by 10649 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),natfloor(A))).
% 25.89/26.07 Following clause subsumed by 10649 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),natceiling(A))).
% 25.89/26.07 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,10025,11545,11597] {-} hAPP_real_real(abs_abs_real,A)=hAPP_real_real(abs_abs_real,A).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11668] {-} hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B).
% 25.89/26.09 Following clause subsumed by 11672 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hAPP_real_real(abs_abs_real,A)=A.
% 25.89/26.09 Following clause subsumed by 11665 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(uminus_uminus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))))).
% 25.89/26.09 Following clause subsumed by 11654 during input processing: 0 [demod,9999] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,A)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int))))).
% 25.89/26.09 Following clause subsumed by 11680 during input processing: 0 [demod,9999] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int))))),hAPP_real_real(arctan,A))).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,9805,11685,9805] {-} pls=pls.
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11721] {-} hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,10654,11721] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)).
% 25.89/26.09 Following clause subsumed by 11758 during input processing: 0 [] {-} A=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_real_real(sgn_sgn_real,A)=hAPP_real_real(uminus_uminus_real,one_one_real).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11806] {-} hAPP_real_real(tan,A)=hAPP_real_real(tan,A).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11657,11800] {-} one_one_real=one_one_real.
% 25.89/26.09 Following clause subsumed by 11680 during input processing: 0 [demod,9999] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int))))),hAPP_real_real(arctan,A))).
% 25.89/26.09 Following clause subsumed by 11654 during input processing: 0 [demod,9999] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,A)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,one_one_int))))).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11800] {-} A=A.
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11853] {-} real_nat=real_nat.
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11868] {-} hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B))=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),B)).
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,11393,11866] {-} one_one_real=one_one_real.
% 25.89/26.09 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025,11900] {-} one_one_real=one_one_real.
% 25.89/26.09 Following clause subsumed by 12000 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 25.93/26.12 Following clause subsumed by 12000 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)))|hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hBOOL(hAPP_nat_bool(even_odd_even_nat,B)).
% 25.93/26.12 Following clause subsumed by 11835 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,A)))).
% 25.93/26.12 Following clause subsumed by 12011 during input processing: 0 [demod,11393,11445,11393] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hAPP_nat_nat(div_mod_nat(A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=one_one_nat.
% 25.93/26.12 Following clause subsumed by 12009 during input processing: 0 [demod,11400,9999,11177,10025,9999,11177,10025] {-} hBOOL(hAPP_nat_bool(even_odd_even_nat,A))|hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A)),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,11393,12029,11393] {-} one_one_nat=one_one_nat.
% 25.93/26.12 Following clause subsumed by 12037 during input processing: 0 [demod,11393] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,one_one_nat),hAPP_nat_nat(fact_fact_nat,A))).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,11400,11400,12036] {-} hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,A))=hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,A)).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12050] {-} hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A),B).
% 25.93/26.12 Following clause subsumed by 10515 during input processing: 0 [] {-} A=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hBOOL(hAPP_real_bool(deriv_real(sqrt,A),B)).
% 25.93/26.12 Following clause subsumed by 12186 during input processing: 0 [demod,11393] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,one_one_nat),A)).
% 25.93/26.12 Following clause subsumed by 12185 during input processing: 0 [demod,11393] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),one_one_nat)).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12238] {-} zero_zero_nat=zero_zero_nat.
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12148,12308] {-} zero_zero_real=zero_zero_real.
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12148,12357] {-} A=A.
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12369,12320,12364] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12393,12390,12364] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025,12094,12364] {-} hAPP_complex_real(norm_norm_complex,A)=hAPP_complex_real(norm_norm_complex,A).
% 25.93/26.12 Following clause subsumed by 12479 during input processing: 0 [demod,12478] {-} hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A,B),divmod_nat(A,B))).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12557] {-} A=A.
% 25.93/26.12 Following clause subsumed by 12558 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),A).
% 25.93/26.12 Following clause subsumed by 10331 during input processing: 0 [demod,12560] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B).
% 25.96/26.14 Following clause subsumed by 12561 during input processing: 0 [] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),C)).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12563] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)).
% 25.96/26.14 Following clause subsumed by 12552 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)),B)).
% 25.96/26.14 Following clause subsumed by 12553 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)),A)).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12574] {-} one_one_nat=one_one_nat.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,11393,12574,11393] {-} one_one_nat=one_one_nat.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,11400,12586] {-} one_one_nat=one_one_nat.
% 25.96/26.14 Following clause subsumed by 12580 during input processing: 0 [demod,12492] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(B,A))).
% 25.96/26.14 Following clause subsumed by 12580 during input processing: 0 [demod,12492] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(B,A))).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12627] {-} hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B))=hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),B)).
% 25.96/26.14 Following clause subsumed by 12712 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_int_int(legacy_zgcd(A),B))).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12744] {-} A=A.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12747,9805,12506] {-} zero_z891286103de_int=zero_z891286103de_int.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12747,12496] {-} one_on1684967323de_int=one_on1684967323de_int.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12775] {-} real_int=real_int.
% 25.96/26.14 Following clause subsumed by 12580 during input processing: 0 [demod,12815,12492,12815] {-} A=zero_zero_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(B,A))).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12876] {-} one_one_rat=one_one_rat.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,9805,12879,9805,12879] {-} zero_zero_rat=zero_zero_rat.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12885,11231] {-} hAPP_int_rat(number_number_of_rat,hAPP_nat_int(semiri1621563631at_int,A))=hAPP_int_rat(number_number_of_rat,hAPP_nat_int(semiri1621563631at_int,A)).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12888] {-} hAPP_int_rat(ring_1_of_int_rat,A)=hAPP_int_rat(ring_1_of_int_rat,A).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12913] {-} zero_zero_real=zero_zero_real.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12916,12377] {-} hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A))=hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A)).
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12918] {-} one_one_real=one_one_real.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,9805,12888,12894,9891] {-} zero_zero_rat=zero_zero_rat.
% 25.96/26.14 Following clause subsumed by 10331 during input processing: 0 [demod,12888,12894,12939] {-} hAPP_int_rat(number_number_of_rat,A)=hAPP_int_rat(number_number_of_rat,A).
% 25.96/26.18 Following clause subsumed by 10331 during input processing: 0 [demod,12916,12916,12377,12377] {-} hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A))),hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,B)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A))),hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,B))).
% 25.96/26.18 Following clause subsumed by 11210 during input processing: 0 [] {-} hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(semiri1621563631at_int),cOMBK_bool_nat(fTrue))).
% 25.96/26.18 Following clause subsumed by 12963 during input processing: 0 [demod,9726] {-} hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),A))).
% 25.96/26.18 Following clause subsumed by 10331 during input processing: 0 [demod,9726,12981] {-} hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),A))=hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_eq_nat),A)).
% 25.96/26.18 Following clause subsumed by 12961 during input processing: 0 [demod,9726] {-} hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),A))).
% 25.96/26.18 Following clause subsumed by 10331 during input processing: 0 [demod,9726,13002] {-} A=A.
% 25.96/26.18 Following clause subsumed by 13028 during input processing: 0 [demod,9999,11177,10025,9999,11177,10025,9999,12377,9818,10008,10390,10169,9999,12377,9818,10008,10390,10169,10826] {-} hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))),A),zero_zero_real)).
% 25.96/26.18 Following clause subsumed by 10331 during input processing: 0 [demod,13054] {-} hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,A)))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,A))).
% 25.96/26.18 Following clause subsumed by 10331 during input processing: 0 [demod,13056] {-} hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,A)))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,A))).
% 25.96/26.18 Following clause subsumed by 13127 during input processing: 0 [] {-} hAPP_nat_real(diffs_real(cos_coeff),A)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,A)).
% 25.96/26.18 Following clause subsumed by 13207 during input processing: 0 [demod,9805] {-} hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(pls),A))).
% 25.96/26.18 Following clause subsumed by 9664 during input processing: 0 [demod,9805,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls))|hBOOL(hAPP_int_bool(B,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),C))).
% 26.27/26.45 Following clause subsumed by 9664 during input processing: 0 [demod,9805,9805] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls))|hBOOL(hAPP_int_bool(B,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,C),A))).
% 26.27/26.45 Following clause subsumed by 13389 during input processing: 0 [demod,13387] {-} hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(A),B))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_complex_real(re,B)).
% 26.27/26.45 Following clause subsumed by 13388 during input processing: 0 [demod,13387] {-} hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(A),B))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_complex_real(im,B)).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [] {-} A=A.
% 26.27/26.45 9662 back subsumes 8364.
% 26.27/26.45 9662 back subsumes 8363.
% 26.27/26.45 9662 back subsumes 7751.
% 26.27/26.45 9662 back subsumes 7687.
% 26.27/26.45 9662 back subsumes 7686.
% 26.27/26.45 9662 back subsumes 7685.
% 26.27/26.45 9662 back subsumes 7684.
% 26.27/26.45 9662 back subsumes 7511.
% 26.27/26.45 9662 back subsumes 7494.
% 26.27/26.45 9662 back subsumes 7432.
% 26.27/26.45 9662 back subsumes 7431.
% 26.27/26.45 9662 back subsumes 7422.
% 26.27/26.45 9662 back subsumes 7419.
% 26.27/26.45 9662 back subsumes 7342.
% 26.27/26.45 Following clause subsumed by 9663 during input processing: 0 [copy,9663,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),A).
% 26.27/26.45 9663 back subsumes 9468.
% 26.27/26.45 9663 back subsumes 7762.
% 26.27/26.45 9664 back subsumes 1828.
% 26.27/26.45 9664 back subsumes 686.
% 26.27/26.45 9664 back subsumes 683.
% 26.27/26.45 9664 back subsumes 674.
% 26.27/26.45 9664 back subsumes 671.
% 26.27/26.45 9664 back subsumes 608.
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9684,flip.1] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9693,flip.1,demod,12377,9689,12377,9689] {-} hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B)))=hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B))).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9695,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B)).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9697,flip.1] {-} hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9710,flip.1] {-} zero_zero_nat=zero_zero_nat.
% 26.27/26.45 Following clause subsumed by 10365 during input processing: 0 [copy,9719,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),B).
% 26.27/26.45 Following clause subsumed by 10331 during input processing: 0 [copy,9738,flip.1] {-} one_one_nat=one_one_nat.
% 38.62/38.82 Following clause subsumed by 10364 during input processing: 0 [copy,9740,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_i769753017umeral(number1443263063umeral,B))),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),hAPP_i769753017umeral(number1443263063umeral,B)))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)),hAPP_i769753017umeral(number1443263063umeral,B)).
% 38.62/38.82 Following clause subsumed by 10366 during input processing: 0 [copy,9741,flip.1,demod,11177,11177,11177] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B)))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,B))).
% 38.62/38.82 Following clause subsumed by 10367 during input processing: 0 [copy,9742,flip.1,demod,12377,12377,12377] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,B)))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,B))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)),hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,B))).
% 38.62/38.82 Following clause subsumed by 10368 during input processing: 0 [copy,9743,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_int_complex(number528085621omplex,B))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),hAPP_int_complex(number528085621omplex,B)))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)),hAPP_int_complex(number528085621omplex,B)).
% 38.62/38.82 Following clause subsumed by 10369 during input processing: 0 [copy,9744,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_i1732201573de_int(number1226105091de_int,B))),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),hAPP_i1732201573de_int(number1226105091de_int,B)))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)),hAPP_i1732201573de_int(number1226105091de_int,B)).
% 38.62/38.82 Following clause subsumed by 10370 during input processing: 0 [copy,9745,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_int_rat(number_number_of_rat,B))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),hAPP_int_rat(number_number_of_rat,B)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)),hAPP_int_rat(number_number_of_rat,B)).
% 38.62/38.82 Following clause subsumed by 10331 during input processing: 0 [copy,9750,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 38.62/38.82 Following clause subsumed by 9768 during input processing: 0 [copy,9768,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)).
% 38.62/38.82 Following clause subsumed by 9769 during input processing: 0 [copy,9769,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A).
% 38.62/38.82 Following clause subsumed by 10453 during input processing: 0 [copy,9845,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),A)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),A).
% 38.72/38.90 Following clause subsumed by 10456 during input processing: 0 [copy,9846,flip.1,demod,9999] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,one_one_int))),A).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9848,flip.1] {-} hAPP_int_int(bit0,A)=hAPP_int_int(bit0,A).
% 38.72/38.90 9848 back subsumes 7238.
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9862,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9864,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),A)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),A).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9866,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9885,flip.1] {-} pls=pls.
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9893,flip.1] {-} zero_zero_real=zero_zero_real.
% 38.72/38.90 9893 back subsumes 8151.
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9895,flip.1] {-} zero_zero_complex=zero_zero_complex.
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9897,flip.1] {-} zero_zero_rat=zero_zero_rat.
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9929,flip.1] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9938,flip.1,demod,12377,9934,12377,9934] {-} hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B)))=hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B))).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9940,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,A)),hAPP_int_complex(number528085621omplex,B)).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9942,flip.1] {-} hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9953,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,A)),hAPP_i769753017umeral(number1443263063umeral,A))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,A)),hAPP_i769753017umeral(number1443263063umeral,A)).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9955,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,A)),hAPP_i1732201573de_int(number1226105091de_int,A))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,A)),hAPP_i1732201573de_int(number1226105091de_int,A)).
% 38.72/38.90 Following clause subsumed by 10331 during input processing: 0 [copy,9957,flip.1,demod,9999,11177,10025,9999,11177,10025] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,A)),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,A)),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,9959,flip.1,demod,11177,9999,11177,10025,11177,9999,11177,10025] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A))),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A))),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,9961,flip.1,demod,12377,9999,11177,10025,12377,9999,11177,10025] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A))),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,A))),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,9980,flip.1,demod,12377,9818,12377,9818] {-} hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),hAPP_int_complex(number528085621omplex,A)))=hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),hAPP_int_complex(number528085621omplex,A))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,9985,flip.1] {-} hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,A))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,A)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10016,flip.1] {-} one_one_real=one_one_real.
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10018,flip.1] {-} one_one_complex=one_one_complex.
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10020,flip.1] {-} one_one_rat=one_one_rat.
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10022,flip.1] {-} one_one_int=one_one_int.
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10027,flip.1,demod,11177,10025,11177,10025] {-} hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))=hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10083,flip.1,demod,11177,10025,11177,10025] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10088,flip.1,demod,11177,10025,11177,10025] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10090,flip.1,demod,11177,10025,11177,10025] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))).
% 38.86/39.09 Following clause subsumed by 10581 during input processing: 0 [copy,10112,flip.1] {-} hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),C).
% 38.86/39.09 Following clause subsumed by 10582 during input processing: 0 [copy,10113,flip.1] {-} hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),C).
% 38.86/39.09 Following clause subsumed by 10584 during input processing: 0 [copy,10121,flip.1] {-} hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),C).
% 38.86/39.09 Following clause subsumed by 10126 during input processing: 0 [copy,10126,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10143,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))).
% 38.86/39.09 Following clause subsumed by 10156 during input processing: 0 [copy,10156,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10165,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 38.86/39.09 10165 back subsumes 10143.
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10177,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10179,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10181,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10183,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10185,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C)).
% 38.86/39.09 Following clause subsumed by 10331 during input processing: 0 [copy,10187,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 38.86/39.10 Following clause subsumed by 10188 during input processing: 0 [copy,10188,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)).
% 38.86/39.10 Following clause subsumed by 10189 during input processing: 0 [copy,10189,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)).
% 38.86/39.10 Following clause subsumed by 10190 during input processing: 0 [copy,10190,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)).
% 38.86/39.10 Following clause subsumed by 10191 during input processing: 0 [copy,10191,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)).
% 38.86/39.10 Following clause subsumed by 10192 during input processing: 0 [copy,10192,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)).
% 38.86/39.10 Following clause subsumed by 10193 during input processing: 0 [copy,10193,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)).
% 38.86/39.10 Following clause subsumed by 10194 during input processing: 0 [copy,10194,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)).
% 38.86/39.10 Following clause subsumed by 10195 during input processing: 0 [copy,10195,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),A).
% 38.86/39.10 10195 back subsumes 9953.
% 38.86/39.10 10195 back subsumes 7754.
% 38.86/39.10 Following clause subsumed by 10196 during input processing: 0 [copy,10196,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),A).
% 38.86/39.10 10196 back subsumes 7766.
% 38.86/39.10 Following clause subsumed by 10197 during input processing: 0 [copy,10197,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),A).
% 38.86/39.10 Following clause subsumed by 10198 during input processing: 0 [copy,10198,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),A).
% 38.86/39.10 Following clause subsumed by 10199 during input processing: 0 [copy,10199,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),A).
% 38.86/39.10 10199 back subsumes 9955.
% 38.86/39.10 10199 back subsumes 7758.
% 38.86/39.10 Following clause subsumed by 10200 during input processing: 0 [copy,10200,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),A).
% 38.86/39.10 Following clause subsumed by 10201 during input processing: 0 [copy,10201,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),A).
% 38.86/39.10 Following clause subsumed by 10202 during input processing: 0 [copy,10202,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A).
% 38.86/39.10 Following clause subsumed by 10203 during input processing: 0 [copy,10203,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),A).
% 38.86/39.10 10203 back subsumes 9862.
% 38.86/39.10 Following clause subsumed by 10204 during input processing: 0 [copy,10204,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),A).
% 38.86/39.10 10204 back subsumes 9864.
% 38.86/39.10 Following clause subsumed by 10205 during input processing: 0 [copy,10205,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),A).
% 38.86/39.10 Following clause subsumed by 10206 during input processing: 0 [copy,10206,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),A).
% 38.86/39.10 10206 back subsumes 9866.
% 38.86/39.10 Following clause subsumed by 10207 during input processing: 0 [copy,10207,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)).
% 38.86/39.10 Following clause subsumed by 10208 during input processing: 0 [copy,10208,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)).
% 38.86/39.10 Following clause subsumed by 10209 during input processing: 0 [copy,10209,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)).
% 38.86/39.10 Following clause subsumed by 10210 during input processing: 0 [copy,10210,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)).
% 38.86/39.10 Following clause subsumed by 10211 during input processing: 0 [copy,10211,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)).
% 38.86/39.10 Following clause subsumed by 10212 during input processing: 0 [copy,10212,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10217,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10234,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10236,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10238,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10240,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10242,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C)).
% 38.86/39.10 Following clause subsumed by 10331 during input processing: 0 [copy,10244,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C)).
% 38.86/39.10 Following clause subsumed by 10246 during input processing: 0 [copy,10246,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)).
% 38.86/39.10 Following clause subsumed by 10248 during input processing: 0 [copy,10248,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)).
% 38.86/39.10 Following clause subsumed by 10250 during input processing: 0 [copy,10250,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)).
% 38.86/39.10 Following clause subsumed by 10252 during input processing: 0 [copy,10252,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)).
% 38.86/39.10 Following clause subsumed by 10254 during input processing: 0 [copy,10254,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),C))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),B)).
% 38.86/39.10 Following clause subsumed by 10256 during input processing: 0 [copy,10256,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)).
% 38.86/39.10 Following clause subsumed by 10258 during input processing: 0 [copy,10258,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)).
% 38.86/39.10 Following clause subsumed by 10260 during input processing: 0 [copy,10260,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),D)))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),D))).
% 38.94/39.14 Following clause subsumed by 10262 during input processing: 0 [copy,10262,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),D)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),D))).
% 38.94/39.14 Following clause subsumed by 10264 during input processing: 0 [copy,10264,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),D)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D))).
% 38.94/39.14 Following clause subsumed by 10266 during input processing: 0 [copy,10266,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),D)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),D))).
% 38.94/39.14 Following clause subsumed by 10268 during input processing: 0 [copy,10268,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),D)))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),D))).
% 38.94/39.14 Following clause subsumed by 10270 during input processing: 0 [copy,10270,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),D)))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),D))).
% 38.94/39.14 Following clause subsumed by 10272 during input processing: 0 [copy,10272,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),D)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),D))).
% 38.94/39.14 Following clause subsumed by 16843 during input processing: 0 [copy,10289,flip.1,demod,11177,10025] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),A).
% 38.94/39.14 Following clause subsumed by 17203 during input processing: 0 [copy,10294,flip.1,demod,11177,10025] {-} hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),B))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),B)).
% 38.94/39.14 Following clause subsumed by 17206 during input processing: 0 [copy,10296,flip.1,demod,11177,10025] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),B)).
% 38.94/39.14 Following clause subsumed by 17207 during input processing: 0 [copy,10298,flip.1,demod,11177,10025] {-} hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),B))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),B)).
% 38.94/39.14 Following clause subsumed by 10331 during input processing: 0 [copy,10331,flip.1] {-} A=A.
% 38.94/39.14 10331 back subsumes 10244.
% 38.94/39.14 10331 back subsumes 10242.
% 38.94/39.14 10331 back subsumes 10240.
% 39.02/39.19 10331 back subsumes 10238.
% 39.02/39.19 10331 back subsumes 10236.
% 39.02/39.19 10331 back subsumes 10234.
% 39.02/39.19 10331 back subsumes 10217.
% 39.02/39.19 10331 back subsumes 10187.
% 39.02/39.19 10331 back subsumes 10185.
% 39.02/39.19 10331 back subsumes 10183.
% 39.02/39.19 10331 back subsumes 10181.
% 39.02/39.19 10331 back subsumes 10179.
% 39.02/39.19 10331 back subsumes 10177.
% 39.02/39.19 10331 back subsumes 10165.
% 39.02/39.19 10331 back subsumes 10090.
% 39.02/39.19 10331 back subsumes 10088.
% 39.02/39.19 10331 back subsumes 10083.
% 39.02/39.19 10331 back subsumes 10027.
% 39.02/39.19 10331 back subsumes 10022.
% 39.02/39.19 10331 back subsumes 10020.
% 39.02/39.19 10331 back subsumes 10018.
% 39.02/39.19 10331 back subsumes 10016.
% 39.02/39.19 10331 back subsumes 9985.
% 39.02/39.19 10331 back subsumes 9980.
% 39.02/39.19 10331 back subsumes 9942.
% 39.02/39.19 10331 back subsumes 9940.
% 39.02/39.19 10331 back subsumes 9938.
% 39.02/39.19 10331 back subsumes 9929.
% 39.02/39.19 10331 back subsumes 9897.
% 39.02/39.19 10331 back subsumes 9895.
% 39.02/39.19 10331 back subsumes 9893.
% 39.02/39.19 10331 back subsumes 9885.
% 39.02/39.19 10331 back subsumes 9848.
% 39.02/39.19 10331 back subsumes 9750.
% 39.02/39.19 10331 back subsumes 9738.
% 39.02/39.19 10331 back subsumes 9710.
% 39.02/39.19 10331 back subsumes 9697.
% 39.02/39.19 10331 back subsumes 9695.
% 39.02/39.19 10331 back subsumes 9693.
% 39.02/39.19 10331 back subsumes 9684.
% 39.02/39.19 10331 back subsumes 9381.
% 39.02/39.19 10331 back subsumes 9380.
% 39.02/39.19 10331 back subsumes 9379.
% 39.02/39.19 10331 back subsumes 9378.
% 39.02/39.19 10331 back subsumes 9376.
% 39.02/39.19 10331 back subsumes 9375.
% 39.02/39.19 10331 back subsumes 9343.
% 39.02/39.19 10331 back subsumes 9342.
% 39.02/39.19 10331 back subsumes 9336.
% 39.02/39.19 10331 back subsumes 9335.
% 39.02/39.19 10331 back subsumes 9329.
% 39.02/39.19 10331 back subsumes 9328.
% 39.02/39.19 10331 back subsumes 9327.
% 39.02/39.19 10331 back subsumes 9324.
% 39.02/39.19 10331 back subsumes 9323.
% 39.02/39.19 10331 back subsumes 9322.
% 39.02/39.19 10331 back subsumes 9321.
% 39.02/39.19 10331 back subsumes 9320.
% 39.02/39.19 10331 back subsumes 9319.
% 39.02/39.19 10331 back subsumes 9318.
% 39.02/39.19 10331 back subsumes 9317.
% 39.02/39.19 10331 back subsumes 9316.
% 39.02/39.19 10331 back subsumes 9315.
% 39.02/39.19 10331 back subsumes 9314.
% 39.02/39.19 10331 back subsumes 9313.
% 39.02/39.19 10331 back subsumes 9312.
% 39.02/39.19 10331 back subsumes 9311.
% 39.02/39.19 10331 back subsumes 9310.
% 39.02/39.19 10331 back subsumes 9309.
% 39.02/39.19 10331 back subsumes 9308.
% 39.02/39.19 10331 back subsumes 9307.
% 39.02/39.19 10331 back subsumes 8373.
% 39.02/39.19 10331 back subsumes 8372.
% 39.02/39.19 10331 back subsumes 8371.
% 39.02/39.19 10331 back subsumes 8332.
% 39.02/39.19 10331 back subsumes 8331.
% 39.02/39.19 10331 back subsumes 8328.
% 39.02/39.19 10331 back subsumes 8327.
% 39.02/39.19 10331 back subsumes 8324.
% 39.02/39.19 10331 back subsumes 8323.
% 39.02/39.19 10331 back subsumes 8322.
% 39.02/39.19 10331 back subsumes 8272.
% 39.02/39.19 10331 back subsumes 8271.
% 39.02/39.19 10331 back subsumes 8262.
% 39.02/39.19 10331 back subsumes 8261.
% 39.02/39.19 10331 back subsumes 8238.
% 39.02/39.19 10331 back subsumes 8230.
% 39.02/39.19 10331 back subsumes 8228.
% 39.02/39.19 10331 back subsumes 8152.
% 39.02/39.19 10331 back subsumes 8104.
% 39.02/39.19 10331 back subsumes 8103.
% 39.02/39.19 10331 back subsumes 8102.
% 39.02/39.19 10331 back subsumes 8082.
% 39.02/39.19 10331 back subsumes 8081.
% 39.02/39.19 10331 back subsumes 8064.
% 39.02/39.19 10331 back subsumes 8063.
% 39.02/39.19 10331 back subsumes 8062.
% 39.02/39.19 10331 back subsumes 8061.
% 39.02/39.19 10331 back subsumes 7768.
% 39.02/39.19 10331 back subsumes 7760.
% 39.02/39.19 10331 back subsumes 7756.
% 39.02/39.19 10331 back subsumes 7688.
% 39.02/39.19 10331 back subsumes 7654.
% 39.02/39.19 10331 back subsumes 7653.
% 39.02/39.19 10331 back subsumes 7647.
% 39.02/39.19 10331 back subsumes 7646.
% 39.02/39.19 10331 back subsumes 7645.
% 39.02/39.19 10331 back subsumes 7644.
% 39.02/39.19 10331 back subsumes 7634.
% 39.02/39.19 10331 back subsumes 7633.
% 39.02/39.19 10331 back subsumes 7631.
% 39.02/39.19 10331 back subsumes 7630.
% 39.02/39.19 10331 back subsumes 7628.
% 39.02/39.19 10331 back subsumes 7603.
% 39.02/39.19 10331 back subsumes 7593.
% 39.02/39.19 10331 back subsumes 7592.
% 39.02/39.19 10331 back subsumes 7591.
% 39.02/39.19 10331 back subsumes 7590.
% 39.02/39.19 10331 back subsumes 7589.
% 39.02/39.19 10331 back subsumes 7284.
% 39.02/39.19 10331 back subsumes 7278.
% 39.02/39.19 10331 back subsumes 7271.
% 39.02/39.19 10331 back subsumes 7239.
% 39.02/39.19 10331 back subsumes 7237.
% 39.02/39.19 10331 back subsumes 7236.
% 39.02/39.19 10331 back subsumes 7235.
% 39.02/39.19 10331 back subsumes 7234.
% 39.02/39.19 10331 back subsumes 7233.
% 39.02/39.19 10331 back subsumes 7232.
% 39.02/39.19 10331 back subsumes 7231.
% 39.02/39.19 10331 back subsumes 7230.
% 39.02/39.19 10331 back subsumes 7229.
% 39.02/39.19 10331 back subsumes 7228.
% 39.02/39.19 10331 back subsumes 7227.
% 39.02/39.19 10331 back subsumes 7209.
% 39.02/39.19 Following clause subsumed by 10364 during input processing: 0 [copy,10358,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),B)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),B))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)),B).
% 39.02/39.19 10358 back subsumes 9740.
% 39.02/39.19 Following clause subsumed by 10366 during input processing: 0 [copy,10359,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),B).
% 39.02/39.19 10359 back subsumes 9741.
% 39.02/39.19 Following clause subsumed by 10367 during input processing: 0 [copy,10360,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)),B).
% 39.02/39.19 10360 back subsumes 9742.
% 39.02/39.19 Following clause subsumed by 10368 during input processing: 0 [copy,10361,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)),B).
% 39.02/39.19 10361 back subsumes 9743.
% 39.02/39.19 Following clause subsumed by 10369 during input processing: 0 [copy,10362,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),B)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),B))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)),B).
% 39.02/39.19 10362 back subsumes 9744.
% 39.02/39.19 Following clause subsumed by 10370 during input processing: 0 [copy,10363,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)),B).
% 39.02/39.19 10363 back subsumes 9745.
% 39.02/39.19 Following clause subsumed by 10358 during input processing: 0 [copy,10364,flip.1] {-} hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)),C)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),C)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C)).
% 39.02/39.19 Following clause subsumed by 9719 during input processing: 0 [copy,10365,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)).
% 39.02/39.19 Following clause subsumed by 10359 during input processing: 0 [copy,10366,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 39.02/39.19 Following clause subsumed by 10360 during input processing: 0 [copy,10367,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)).
% 39.02/39.19 Following clause subsumed by 10361 during input processing: 0 [copy,10368,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)).
% 39.02/39.21 Following clause subsumed by 10362 during input processing: 0 [copy,10369,flip.1] {-} hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)),C)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C)).
% 39.02/39.21 Following clause subsumed by 10363 during input processing: 0 [copy,10370,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)).
% 39.02/39.21 Following clause subsumed by 17005 during input processing: 0 [copy,10449,flip.1,demod,11177,17302,10014] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),A).
% 39.02/39.21 Following clause subsumed by 17004 during input processing: 0 [copy,10451,flip.1,demod,12377,9818,10008,10390] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex))),A)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A).
% 39.02/39.21 Following clause subsumed by 9845 during input processing: 0 [copy,10453,flip.1] {-} hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),A)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),A).
% 39.02/39.21 10453 back subsumes 9982.
% 39.02/39.21 Following clause subsumed by 17003 during input processing: 0 [copy,10456,flip.1] {-} hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,one_one_int))),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A).
% 39.02/39.21 10504 back subsumes 1671.
% 39.02/39.21 10515 back subsumes 3242.
% 39.02/39.21 10517 back subsumes 7719.
% 39.02/39.21 10517 back subsumes 7718.
% 39.02/39.21 10517 back subsumes 7717.
% 39.02/39.21 10518 back subsumes 7715.
% 39.02/39.21 10518 back subsumes 7714.
% 39.02/39.21 10518 back subsumes 7713.
% 39.02/39.21 10522 back subsumes 9467.
% 39.02/39.21 10522 back subsumes 8368.
% 39.02/39.21 10522 back subsumes 7723.
% 39.02/39.21 10522 back subsumes 7722.
% 39.02/39.21 10522 back subsumes 7721.
% 39.02/39.21 10523 back subsumes 7727.
% 39.02/39.21 10523 back subsumes 7726.
% 39.02/39.21 10523 back subsumes 7725.
% 39.02/39.21 10579 back subsumes 8240.
% 39.02/39.21 10580 back subsumes 8321.
% 39.02/39.21 10580 back subsumes 8130.
% 39.02/39.21 10580 back subsumes 1672.
% 39.02/39.21 Following clause subsumed by 10112 during input processing: 0 [copy,10581,flip.1] {-} hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),B)),C)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 39.02/39.21 Following clause subsumed by 10113 during input processing: 0 [copy,10582,flip.1] {-} hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),B)),C)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 39.02/39.21 Following clause subsumed by 10331 during input processing: 0 [copy,10583,flip.1,demod,13509,13509,13509,17205] {-} hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),C),hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),B),A))=hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),C),hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),B),A)).
% 39.02/39.21 Following clause subsumed by 10121 during input processing: 0 [copy,10584,flip.1] {-} hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),B)),C)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)).
% 39.02/39.21 10602 back subsumes 10440.
% 39.02/39.21 10617 back subsumes 7262.
% 39.02/39.21 10617 back subsumes 7261.
% 39.02/39.21 10632 back subsumes 10481.
% 39.02/39.21 10633 back subsumes 10482.
% 39.02/39.21 10634 back subsumes 10483.
% 40.06/40.24 10635 back subsumes 10484.
% 40.06/40.24 10636 back subsumes 10485.
% 40.06/40.24 10637 back subsumes 10486.
% 40.06/40.24 10638 back subsumes 10487.
% 40.06/40.24 10649 back subsumes 10607.
% 40.06/40.24 10649 back subsumes 3604.
% 40.06/40.24 10649 back subsumes 801.
% 40.06/40.24 10649 back subsumes 668.
% 40.06/40.24 10703 back subsumes 8079.
% 40.06/40.24 10703 back subsumes 8078.
% 40.06/40.24 10703 back subsumes 8077.
% 40.06/40.24 10703 back subsumes 7636.
% 40.06/40.24 10703 back subsumes 7495.
% 40.06/40.24 10705 back subsumes 3608.
% 40.06/40.24 10705 back subsumes 3607.
% 40.06/40.24 10705 back subsumes 3606.
% 40.06/40.24 10742 back subsumes 9469.
% 40.06/40.24 10742 back subsumes 8387.
% 40.06/40.24 10742 back subsumes 8384.
% 40.06/40.24 10742 back subsumes 8383.
% 40.06/40.24 10742 back subsumes 8382.
% 40.06/40.24 10742 back subsumes 8350.
% 40.06/40.24 10742 back subsumes 8138.
% 40.06/40.24 10742 back subsumes 8137.
% 40.06/40.24 10742 back subsumes 8133.
% 40.06/40.24 10742 back subsumes 8122.
% 40.06/40.24 10742 back subsumes 8120.
% 40.06/40.24 10742 back subsumes 8119.
% 40.06/40.24 10742 back subsumes 8117.
% 40.06/40.24 10742 back subsumes 8108.
% 40.06/40.24 10742 back subsumes 8107.
% 40.06/40.24 10742 back subsumes 8089.
% 40.06/40.24 10742 back subsumes 7496.
% 40.06/40.24 10742 back subsumes 690.
% 40.06/40.24 10742 back subsumes 687.
% 40.06/40.24 10742 back subsumes 678.
% 40.06/40.24 10742 back subsumes 675.
% 40.06/40.24 Following clause subsumed by 10820 during input processing: 0 [copy,10820,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)).
% 40.06/40.24 10863 back subsumes 10678.
% 40.06/40.24 10864 back subsumes 10679.
% 40.06/40.24 Following clause subsumed by 10331 during input processing: 0 [copy,11165,flip.1,demod,12492,12492,17370] {-} hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B)))=hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),B))).
% 40.06/40.24 11209 back subsumes 11208.
% 40.06/40.24 11510 back subsumes 11508.
% 40.06/40.24 Following clause subsumed by 11670 during input processing: 0 [copy,11670,flip.1] {-} hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)).
% 40.06/40.24 12039 back subsumes 12027.
% 40.06/40.24 12054 back subsumes 3190.
% 40.06/40.24 12552 back subsumes 8258.
% 40.06/40.24 12553 back subsumes 8257.
% 40.06/40.24 Following clause subsumed by 12558 during input processing: 0 [copy,12558,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),A).
% 40.06/40.24 Following clause subsumed by 12561 during input processing: 0 [copy,12561,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),C)).
% 40.06/40.24 Following clause subsumed by 12619 during input processing: 0 [copy,12619,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(powr,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))=hAPP_real_real(hAPP_r1250527377l_real(powr,A),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)).
% 40.06/40.24 Following clause subsumed by 12704 during input processing: 0 [copy,12704,flip.1] {-} hAPP_int_int(legacy_zgcd(A),hAPP_int_int(legacy_zgcd(B),C))=hAPP_int_int(legacy_zgcd(B),hAPP_int_int(legacy_zgcd(A),C)).
% 40.06/40.24 Following clause subsumed by 12705 during input processing: 0 [copy,12705,flip.1] {-} hAPP_int_int(legacy_zgcd(A),B)=hAPP_int_int(legacy_zgcd(B),A).
% 40.06/40.24 Following clause subsumed by 10331 during input processing: 0 [copy,12873,flip.1,demod,12888,12894,9891,12882] {-} zero_zero_rat=zero_zero_rat.
% 40.06/40.24 13247 back subsumes 8378.
% 40.06/40.24 13248 back subsumes 8379.
% 40.06/40.24 Following clause subsumed by 13269 during input processing: 0 [copy,13269,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),A).
% 40.06/40.24 Following clause subsumed by 13270 during input processing: 0 [copy,13270,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),C))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),C)).
% 40.06/40.24 13867 back subsumes 13865.
% 40.06/40.24 13868 back subsumes 13866.
% 42.85/43.04 13872 back sub
% 42.85/43.04 -- HEY sandbox, WE HAVE A PROOF!! --
% 42.85/43.04 sumes 13871.
% 42.85/43.04 13925 back subsumes 13924.
% 42.85/43.04 13928 back subsumes 13927.
% 42.85/43.04 15320 back subsumes 15319.
% 42.85/43.04 16037 back subsumes 14970.
% 42.85/43.04 16037 back subsumes 14969.
% 42.85/43.04 16037 back subsumes 14968.
% 42.85/43.04 16037 back subsumes 13989.
% 42.85/43.04 16717 back subsumes 15322.
% 42.85/43.04 16717 back subsumes 15321.
% 42.85/43.04 Following clause subsumed by 17005 during input processing: 0 [copy,16843,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),A).
% 42.85/43.04 Following clause subsumed by 17004 during input processing: 0 [copy,16844,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex))),A)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A).
% 42.85/43.04 16875 back subsumes 16863.
% 42.85/43.04 16875 back subsumes 16862.
% 42.85/43.04 16950 back subsumes 16934.
% 42.85/43.04 16950 back subsumes 16933.
% 42.85/43.04 Following clause subsumed by 9963 during input processing: 0 [copy,16970,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),B)),hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)))).
% 42.85/43.04 Following clause subsumed by 16844 during input processing: 0 [copy,17004,flip.1] {-} hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex))),A).
% 42.85/43.04 Following clause subsumed by 16843 during input processing: 0 [copy,17005,flip.1] {-} hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),A).
% 42.85/43.04 17013 back subsumes 16867.
% 42.85/43.04 17014 back subsumes 16939.
% 42.85/43.04 17014 back subsumes 16938.
% 42.85/43.04
% 42.85/43.04 ----> UNIT CONFLICT at 41.88 sec ----> 19291 [binary,19290.1,19146.1] {-} $F.
% 42.85/43.04
% 42.85/43.04 Length of proof is 23. Level of proof is 7.
% 42.85/43.04
% 42.85/43.04 ---------------- PROOF ----------------
% 42.85/43.04 % SZS status Theorem
% 42.85/43.04 % SZS output start Refutation
% 42.85/43.04
% 42.85/43.04 7199 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)),zero_zero_int)).
% 42.85/43.04 9597 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),zero_zero_int))).
% 42.85/43.04 9598 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t).
% 42.85/43.04 9716,9715 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,A)),B)=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)).
% 42.85/43.04 9767,9766 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)).
% 42.85/43.04 9770 [] {-} zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 42.85/43.04 9772,9771 [copy,9770,flip.1] {-} hAPP_int_int(number_number_of_int,pls)=zero_zero_int.
% 42.85/43.04 9803 [] {-} pls=zero_zero_int.
% 42.85/43.04 9805,9804 [copy,9803,flip.1] {-} zero_zero_int=pls.
% 42.85/43.04 9808 [] {-} hAPP_int_int(bit0,A)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A).
% 42.85/43.04 9810,9809 [copy,9808,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)=hAPP_int_int(bit0,A).
% 42.85/43.04 9811 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),hAPP_int_int(number_number_of_int,A))=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,A)).
% 42.85/43.04 9812 [copy,9811,demod,9810,9716] {-} hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),hAPP_int_int(number_number_of_int,A)))=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,A)).
% 42.85/43.04 9949 [] {-} hAPP_int_int(bit1,A)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),A)),A).
% 42.85/43.04 9951,9950 [copy,9949,demod,9767,9810,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(bit0,A))=hAPP_int_int(bit1,A).
% 42.85/43.04 9986 [] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,A))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,A))),hAPP_int_int(number_number_of_int,A)).
% 42.85/43.04 9988,9987 [copy,9986,demod,9767,9810,9951] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,A))=hAPP_int_int(bit1,hAPP_int_int(number_number_of_int,A)).
% 42.85/43.04 9997 [] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 42.85/43.04 9999,9998 [copy,9997,demod,9988,9772,9805] {-} hAPP_int_int(bit1,pls)=one_one_int.
% 42.85/43.04 10012 [] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 42.85/43.04 10014,10013 [copy,10012,demod,9999] {-} hAPP_int_int(number_number_of_int,one_one_int)=one_one_int.
% 42.85/43.04 10023 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 42.85/43.04 10025,10024 [copy,10023,demod,9810,9999,flip.1] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,one_one_int))=hAPP_int_int(bit0,one_one_int).
% 42.85/43.04 10311 [] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),zero_zero_int)=zero_zero_int.
% 42.85/43.04 10313,10312 [copy,10311,demod,9805,9805] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),pls)=pls.
% 42.85/43.04 10445 [] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),A).
% 42.85/43.04 10447,10446 [copy,10445,demod,9810,9810,9716,flip.1] {-} hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A))=hAPP_int_int(bit0,A).
% 42.85/43.04 10816 [] {-} hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t).
% 42.85/43.04 10817 [copy,10816,demod,9999,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m)),one_one_int)),t)=hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)).
% 42.85/43.04 11177,11176 [] {-} hAPP_int_nat(number_number_of_nat,A)=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,A)).
% 42.85/43.04 11521,11520 [] {-} hAPP_int_int(succ,hAPP_int_int(bit0,A))=hAPP_int_int(bit1,A).
% 42.85/43.04 11522 [] {-} hAPP_int_int(succ,A)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),one_one_int).
% 42.85/43.04 11524,11523 [copy,11522,flip.1] {-} hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),one_one_int)=hAPP_int_int(succ,A).
% 42.85/43.04 13507 [] {-} hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,A),B),C)=hAPP_nat_int(hAPP_int_fun_nat_int(A,C),B).
% 42.85/43.04 13509,13508 [copy,13507,flip.1] {-} hAPP_nat_int(hAPP_int_fun_nat_int(A,B),C)=hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,A),C),B).
% 42.85/43.04 13627 [] {-} hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,A),B),C)=hAPP_int_bool(hAPP_P252494982t_bool(A,C),B).
% 42.85/43.04 13629,13628 [copy,13627,flip.1] {-} hAPP_int_bool(hAPP_P252494982t_bool(A,B),C)=hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,A),C),B).
% 42.85/43.04 13686 [] {-} hAPP_P252494982t_bool(hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,A),B),C)=hAPP_i1948725293t_bool(A,hAPP_P1175774780nt_int(B,C)).
% 42.85/43.04 13688,13687 [copy,13686,flip.1] {-} hAPP_i1948725293t_bool(A,hAPP_P1175774780nt_int(B,C))=hAPP_P252494982t_bool(hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,A),B),C).
% 42.85/43.04 13817 [back_demod,7199,demod,9999,11177,10025,13509,11524,9805] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(succ,hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),s))),pls)).
% 42.85/43.04 13820,13819 [back_demod,9598,demod,9999,11177,10025,13509,11524,9999,11524] {-} hAPP_int_int(succ,hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),hAPP_int_nat(nat,hAPP_int_int(bit0,one_one_int))),s))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m))),t).
% 42.85/43.04 13821 [back_demod,9597,demod,9999,11524,9999,11524,9805,10313] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(succ,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,one_one_int)))),m))),t)),pls)).
% 42.85/43.04 17302,17301 [back_demod,9812,demod,10447,flip.1] {-} hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,A))=hAPP_int_int(bit0,hAPP_int_int(number_number_of_int,A)).
% 42.85/43.04 17657,17656 [back_demod,10817,demod,17302,17302,10014,9716,9716,10447,11524,11521] {-} hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit1,hAPP_int_int(bit0,m))),t)=hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int)).
% 42.85/43.04 19146 [back_demod,13817,demod,13820,17302,17302,10014,9716,9716,10447,11521,17657,13688,13629] {-} -hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,ord_less_int),twoSqu1907779896sum2sq)),pls),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))).
% 42.85/43.04 19290 [back_demod,13821,demod,17302,17302,10014,9716,9716,10447,11521,17657,13688,13629] {-} hBOOL(hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,ord_less_int),twoSqu1907779896sum2sq)),pls),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))).
% 42.85/43.04 19291 [binary,19290.1,19146.1] {-} $F.
% 42.85/43.04
% 42.85/43.04 % SZS output end Refutation
% 42.85/43.04 ------------ end of proof -------------
% 42.85/43.04
% 42.85/43.04
% 42.85/43.04 Search stopped by max_proofs option.
% 42.85/43.04
% 42.85/43.04
% 42.85/43.04 Search stopped by max_proofs option.
% 42.85/43.04
% 42.85/43.04 ============ end of search ============
% 42.85/43.04
% 42.85/43.04 That finishes the proof of the theorem.
% 42.85/43.04
% 42.85/43.04 Process 20102 finished Tue Jul 5 14:43:50 2022
%------------------------------------------------------------------------------