TSTP Solution File: NUM925+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM925+3 : 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 14:23:14 EDT 2022
% Result : Unknown 0.58s 0.79s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM925+3 : TPTP v8.1.0. Released v5.3.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 11:40:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55 ----- Otter 3.2, August 2001 -----
% 0.19/0.55 The process was started by sandbox on n005.cluster.edu,
% 0.19/0.55 Tue Jul 5 11:40:07 2022
% 0.19/0.55 The command was "./sos". The process ID is 11593.
% 0.19/0.55
% 0.19/0.55 set(prolog_style_variables).
% 0.19/0.55 set(auto).
% 0.19/0.55 dependent: set(auto1).
% 0.19/0.55 dependent: set(process_input).
% 0.19/0.55 dependent: clear(print_kept).
% 0.19/0.55 dependent: clear(print_new_demod).
% 0.19/0.55 dependent: clear(print_back_demod).
% 0.19/0.55 dependent: clear(print_back_sub).
% 0.19/0.55 dependent: set(control_memory).
% 0.19/0.55 dependent: assign(max_mem, 12000).
% 0.19/0.55 dependent: assign(pick_given_ratio, 4).
% 0.19/0.55 dependent: assign(stats_level, 1).
% 0.19/0.55 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.55 dependent: assign(sos_limit, 5000).
% 0.19/0.55 dependent: assign(max_weight, 60).
% 0.19/0.55 clear(print_given).
% 0.19/0.55
% 0.19/0.55 formula_list(usable).
% 0.19/0.55
% 0.19/0.55 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=9.
% 0.19/0.55
% 0.19/0.55 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.55 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.55 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.55 clauses in usable.
% 0.19/0.55
% 0.19/0.55 dependent: set(knuth_bendix).
% 0.19/0.55 dependent: set(para_from).
% 0.19/0.55 dependent: set(para_into).
% 0.19/0.55 dependent: clear(para_from_right).
% 0.19/0.55 dependent: clear(para_into_right).
% 0.19/0.55 dependent: set(para_from_vars).
% 0.19/0.55 dependent: set(eq_units_both_ways).
% 0.19/0.55 dependent: set(dynamic_demod_all).
% 0.19/0.55 dependent: set(dynamic_demod).
% 0.19/0.55 dependent: set(order_eq).
% 0.19/0.55 dependent: set(back_demod).
% 0.19/0.55 dependent: set(lrpo).
% 0.19/0.55 dependent: set(hyper_res).
% 0.19/0.55 dependent: set(unit_deletion).
% 0.19/0.55 dependent: set(factor).
% 0.19/0.55
% 0.19/0.55 There is a clause for symmetry of equality, so it is
% 0.19/0.55 assumed that equality is fully axiomatized; therefore,
% 0.19/0.55 paramodulation is disabled.
% 0.19/0.55
% 0.19/0.55 dependent: clear(para_from).
% 0.19/0.55 dependent: clear(para_into).
% 0.19/0.55
% 0.19/0.55 ------------> process usable:
% 0.19/0.55 Following clause subsumed by 26 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 27 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 32 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 33 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 35 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 36 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 70 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 71 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.55 Following clause subsumed by 99 during input processing: 0 [flip.1] {-} bit1(A)!=pls.
% 0.19/0.55 Following clause subsumed by 15 during input processing: 0 [] {-} plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 16 during input processing: 0 [] {-} plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 17 during input processing: 0 [] {-} plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 157 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.19/0.55 Following clause subsumed by 162 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.19/0.55 Following clause subsumed by 161 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.19/0.55 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 169 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 170 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.19/0.55 Following clause subsumed by 162 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 177 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 179 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B!=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 178 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 177 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 179 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)!=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 178 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.19/0.55 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.55 Following clause subsumed by 182 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.55 Following clause subsumed by 25 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)).
% 0.19/0.55 Following clause subsumed by 58 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 0.19/0.55 Following clause subsumed by 59 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 0.19/0.55 Following clause subsumed by 58 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 0.19/0.55 Following clause subsumed by 59 during input processing: 0 [] {-} hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 0.19/0.55 Following clause subsumed by 136 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)).
% 0.19/0.55 Following clause subsumed by 137 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)).
% 0.19/0.55 Following clause subsumed by 108 during input processing: 0 [flip.1] {-} zero_zero_int!=one_one_int.
% 0.19/0.55 Following clause subsumed by 156 during input processing: 0 [flip.1] {-} zero_zero_real!=one_one_real.
% 0.19/0.55 Following clause subsumed by 108 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.19/0.55 Following clause subsumed by 200 during input processing: 0 [] {-} zero_zero_nat!=one_one_nat.
% 0.19/0.55 Following clause subsumed by 156 during input processing: 0 [] {-} zero_zero_real!=one_one_real.
% 0.19/0.55 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.55 Following clause subsumed by 182 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.55 Following clause subsumed by 182 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 0.19/0.55 Following clause subsumed by 204 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(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B))).
% 0.19/0.55 Following clause subsumed by 206 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B))).
% 0.19/0.55 Following clause subsumed by 181 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.55 Following clause subsumed by 203 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)).
% 0.19/0.55 Following clause subsumed by 205 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)).
% 0.19/0.55 Following clause subsumed by 170 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),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),plus_plus_nat(A,C))).
% 0.19/0.55 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 178 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(power_power_nat(A),B))).
% 0.19/0.55 Following clause subsumed by 219 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(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 221 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(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 223 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(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 220 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(C),A)),hAPP_nat_int(power_power_int(C),B))).
% 0.19/0.55 Following clause subsumed by 222 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(C),A)),hAPP_nat_nat(power_power_nat(C),B))).
% 0.19/0.55 Following clause subsumed by 224 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,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_nat_real(power_power_real(C),A)),hAPP_nat_real(power_power_real(C),B))).
% 0.19/0.55 Following clause subsumed by 201 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 0.19/0.55 Following clause subsumed by 202 during input processing: 0 [] {-} hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 84 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 155 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 54 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 55 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 56 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 0.19/0.55 Following clause subsumed by 57 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 0.19/0.55 Following clause subsumed by 207 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),plus_plus_int(A,B))).
% 0.19/0.55 Following clause subsumed by 169 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),plus_plus_nat(A,B))).
% 0.19/0.55 Following clause subsumed by 208 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),plus_plus_real(A,B))).
% 0.19/0.55 Following clause subsumed by 155 during input processing: 0 [unit_del,155,factor_simp] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 165 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 0.19/0.55 Following clause subsumed by 163 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.19/0.55 Following clause subsumed by 255 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|plus_plus_int(C,A)!=plus_plus_int(C,B)|A=B.
% 0.19/0.55 Following clause subsumed by 163 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.19/0.55 Following clause subsumed by 256 during input processing: 0 [] {-} plus_plus_real(A,B)!=plus_plus_real(A,C)|B=C.
% 0.19/0.55 Following clause subsumed by 253 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|plus_plus_int(A,C)!=plus_plus_int(B,C)|A=B.
% 0.19/0.55 Following clause subsumed by 165 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(C,B)|A=C.
% 0.19/0.55 Following clause subsumed by 166 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(C,B)|A!=C.
% 0.19/0.55 Following clause subsumed by 254 during input processing: 0 [] {-} plus_plus_real(A,B)!=plus_plus_real(C,B)|A=C.
% 0.19/0.55 Following clause subsumed by 255 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|plus_plus_int(C,A)!=plus_plus_int(C,B)|A=B.
% 0.19/0.55 Following clause subsumed by 163 during input processing: 0 [] {-} plus_plus_nat(A,B)!=plus_plus_nat(A,C)|B=C.
% 0.19/0.55 Following clause subsumed by 164 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(A,C)|B!=C.
% 0.19/0.55 Following clause subsumed by 256 during input processing: 0 [] {-} plus_plus_real(A,B)!=plus_plus_real(A,C)|B=C.
% 0.19/0.55 Following clause subsumed by 186 during input processing: 0 [flip.1] {-} plus_plus_nat(A,B)!=A|B=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 111 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 0.19/0.55 Following clause subsumed by 111 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 0.19/0.55 Following clause subsumed by 111 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(A,zero_zero_int)=A.
% 0.19/0.55 Following clause subsumed by 95 during input processing: 0 [flip.2] {-} -is_int(A)|plus_plus_int(A,A)!=zero_zero_int|A=zero_zero_int.
% 0.19/0.55 Following clause subsumed by 96 during input processing: 0 [flip.2] {-} -is_int(A)|plus_plus_int(A,A)=zero_zero_int|A!=zero_zero_int.
% 0.19/0.55 Following clause subsumed by 97 during input processing: 0 [flip.1] {-} plus_plus_real(A,A)!=zero_zero_real|A=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 98 during input processing: 0 [flip.1] {-} plus_plus_real(A,A)=zero_zero_real|A!=zero_zero_real.
% 0.19/0.55 Following clause subsumed by 112 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 0.19/0.55 Following clause subsumed by 112 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 0.19/0.55 Following clause subsumed by 112 during input processing: 0 [] {-} -is_int(A)|plus_plus_int(zero_zero_int,A)=A.
% 0.19/0.55 Following clause subsumed by 167 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 172 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 0.19/0.55 Following clause subsumed by 168 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(C,A)),plus_plus_nat(C,B))).
% 0.19/0.55 Following clause subsumed by 37 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,C)),plus_plus_int(B,C))).
% 0.19/0.55 Following clause subsumed by 171 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 0.19/0.55 Following clause subsumed by 277 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.19/0.55 Following clause subsumed by 284 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.19/0.55 Following clause subsumed by 167 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 168 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.55 Following clause subsumed by 278 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.19/0.55 Following clause subsumed by 285 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.19/0.55 Following clause subsumed by 279 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.19/0.55 Following clause subsumed by 37 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.19/0.55 Following clause subsumed by 280 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.19/0.55 Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.19/0.55 Following clause subsumed by 281 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.19/0.55 Following clause subsumed by 286 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,plus_plus_real(A,B)),plus_plus_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.19/0.55 Following clause subsumed by 190 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 0.19/0.55 Following clause subsumed by 228 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 227 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 229 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat.
% 0.19/0.55 Following clause subsumed by 348 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,times_times_real(C,A)),times_times_real(C,B))).
% 0.19/0.55 Following clause subsumed by 349 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(C,A)),times_times_nat(C,B))).
% 0.19/0.55 Following clause subsumed by 350 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(C,A)),times_times_int(C,B))).
% 0.19/0.55 Following clause subsumed by 335 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),times_times_real(A,B))).
% 0.19/0.55 Following clause subsumed by 337 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B))).
% 0.19/0.55 Following clause subsumed by 329 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,times_times_real(A,B)),zero_zero_real)).
% 0.19/0.55 Following clause subsumed by 331 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 333 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 329 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,times_times_real(B,A)),zero_zero_real)).
% 0.19/0.55 Following clause subsumed by 331 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(B,A)),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 333 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(B,A)),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 328 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,times_times_real(A,B)),zero_zero_real)).
% 0.19/0.55 Following clause subsumed by 330 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),zero_zero_nat)).
% 0.19/0.55 Following clause subsumed by 332 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 318 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))|nat(B)!=nat(A)|B=A.
% 0.19/0.55 Following clause subsumed by 319 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))|nat(B)=nat(A)|B!=A.
% 0.19/0.55 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B))).
% 0.19/0.55 Following clause subsumed by 334 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),times_times_real(A,B))).
% 0.19/0.55 Following clause subsumed by 336 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B))).
% 0.19/0.55 Following clause subsumed by 328 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_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)).
% 0.19/0.55 Following clause subsumed by 329 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_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)).
% 0.19/0.55 Following clause subsumed by 332 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)).
% 0.19/0.55 Following clause subsumed by 333 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)).
% 0.19/0.55 Following clause subsumed by 334 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_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)).
% 0.19/0.56 Following clause subsumed by 335 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_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)).
% 0.19/0.56 Following clause subsumed by 336 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)).
% 0.19/0.56 Following clause subsumed by 337 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),times_times_int(A,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)).
% 0.19/0.56 Following clause subsumed by 407 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),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)).
% 0.19/0.56 Following clause subsumed by 408 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 409 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.19/0.56 Following clause subsumed by 410 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,times_times_real(A,B)),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)).
% 0.19/0.56 Following clause subsumed by 411 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 412 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,times_times_int(A,B)),times_times_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.19/0.56 Following clause subsumed by 401 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,times_times_real(A,B)),times_times_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 403 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,times_times_int(A,B)),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.19/0.56 Following clause subsumed by 441 during input processing: 0 [] {-} nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int)).
% 0.19/0.56 Following clause subsumed by 446 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,nat(A))=A.
% 0.19/0.56 Following clause subsumed by 452 during input processing: 0 [] {-} A!=B|minus_minus_real(A,B)=zero_zero_real.
% 0.19/0.56 Following clause subsumed by 451 during input processing: 0 [] {-} A=B|minus_minus_real(A,B)!=zero_zero_real.
% 0.19/0.56 Following clause subsumed by 454 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|A!=B|minus_minus_int(A,B)=zero_zero_int.
% 0.19/0.56 Following clause subsumed by 453 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|A=B|minus_minus_int(A,B)!=zero_zero_int.
% 0.19/0.56 Following clause subsumed by 462 during input processing: 0 [] {-} A=zero_zero_real|B=zero_zero_real|times_times_real(A,B)!=zero_zero_real.
% 0.19/0.56 Following clause subsumed by 465 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|B=zero_zero_int|A=zero_zero_int|times_times_int(B,A)!=zero_zero_int.
% 0.19/0.56 Following clause subsumed by 462 during input processing: 0 [] {-} times_times_real(A,B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 0.19/0.56 Following clause subsumed by 468 during input processing: 0 [] {-} times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.19/0.56 Following clause subsumed by 465 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|times_times_int(A,B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 0.19/0.56 Following clause subsumed by 470 during input processing: 0 [] {-} A=B|C=D|plus_plus_real(times_times_real(A,C),times_times_real(B,D))!=plus_plus_real(times_times_real(A,D),times_times_real(B,C)).
% 0.19/0.56 Following clause subsumed by 471 during input processing: 0 [] {-} A!=B|plus_plus_real(times_times_real(A,C),times_times_real(B,D))=plus_plus_real(times_times_real(A,D),times_times_real(B,C)).
% 0.19/0.56 Following clause subsumed by 472 during input processing: 0 [] {-} A!=B|plus_plus_real(times_times_real(C,A),times_times_real(D,B))=plus_plus_real(times_times_real(C,B),times_times_real(D,A)).
% 0.19/0.56 Following clause subsumed by 473 during input processing: 0 [] {-} A=B|C=D|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))!=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 0.19/0.56 Following clause subsumed by 474 during input processing: 0 [] {-} A!=B|plus_plus_nat(times_times_nat(A,C),times_times_nat(B,D))=plus_plus_nat(times_times_nat(A,D),times_times_nat(B,C)).
% 0.19/0.56 Following clause subsumed by 475 during input processing: 0 [] {-} A!=B|plus_plus_nat(times_times_nat(C,A),times_times_nat(D,B))=plus_plus_nat(times_times_nat(C,B),times_times_nat(D,A)).
% 0.19/0.56 Following clause subsumed by 476 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C=D|A=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))!=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 0.19/0.56 Following clause subsumed by 477 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|C!=D|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 0.19/0.56 Following clause subsumed by 478 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|A!=B|plus_plus_int(times_times_int(C,A),times_times_int(D,B))=plus_plus_int(times_times_int(C,B),times_times_int(D,A)).
% 0.19/0.56 Following clause subsumed by 479 during input processing: 0 [] {-} -is_int(A)|times_times_int(A,one_one_int)=A.
% 0.19/0.56 Following clause subsumed by 479 during input processing: 0 [] {-} -is_int(A)|times_times_int(A,one_one_int)=A.
% 0.19/0.56 Following clause subsumed by 480 during input processing: 0 [] {-} -is_int(A)|times_times_int(one_one_int,A)=A.
% 0.19/0.56 Following clause subsumed by 480 during input processing: 0 [] {-} -is_int(A)|times_times_int(one_one_int,A)=A.
% 0.19/0.56 Following clause subsumed by 481 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A,B)),plus_plus_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 490 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A,B)),plus_plus_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 482 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 491 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 483 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.19/0.56 Following clause subsumed by 492 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(A,C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.19/0.56 Following clause subsumed by 484 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A,B)),plus_plus_real(C,B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 0.19/0.56 Following clause subsumed by 493 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,plus_plus_real(A,B)),plus_plus_real(C,B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),C)).
% 0.19/0.56 Following clause subsumed by 485 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 494 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 486 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(C,B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.19/0.56 Following clause subsumed by 495 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,B)),plus_plus_int(C,B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),C)).
% 0.19/0.56 Following clause subsumed by 498 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 499 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 500 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 501 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 480 during input processing: 0 [] {-} -is_int(A)|times_times_int(one_one_int,A)=A.
% 0.19/0.56 Following clause subsumed by 479 during input processing: 0 [] {-} -is_int(A)|times_times_int(A,one_one_int)=A.
% 0.19/0.56 Following clause subsumed by 492 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(C,A)),plus_plus_int(C,B))).
% 0.19/0.56 Following clause subsumed by 316 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 317 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 522 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(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 524 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(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 526 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(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 539 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))|nat(plus_plus_int(A,B))=plus_plus_nat(nat(A),nat(B)).
% 0.19/0.56 Following clause subsumed by 585 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 586 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 606 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,nat(A)),nat(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),B)).
% 0.19/0.56 Following clause subsumed by 611 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 0.19/0.56 Following clause subsumed by 612 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,minus_minus_nat(B,C)))|B!=plus_plus_nat(C,D)|hBOOL(hAPP_nat_bool(A,D)).
% 0.19/0.56 Following clause subsumed by 622 during input processing: 0 [] {-} number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.19/0.56 Following clause subsumed by 624 during input processing: 0 [] {-} number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.19/0.56 Following clause subsumed by 629 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 630 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B)).
% 0.19/0.56 Following clause subsumed by 631 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.56 Following clause subsumed by 632 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.19/0.56 Following clause subsumed by 643 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,plus_plus_int(A,one_one_int)),B)).
% 0.19/0.56 Following clause subsumed by 296 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,minus_minus_real(A,B)),zero_zero_real)).
% 0.19/0.56 Following clause subsumed by 297 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,minus_minus_real(A,B)),zero_zero_real)).
% 0.19/0.56 Following clause subsumed by 405 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 670 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 402 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 671 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 404 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,times_times_real(B,A)),times_times_real(C,A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 401 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,times_times_real(A,B)),times_times_real(A,C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 429 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,times_times_real(A,B)),times_times_real(A,C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.19/0.56 Following clause subsumed by 468 during input processing: 0 [] {-} times_times_nat(A,B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.19/0.56 Following clause subsumed by 669 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.19/0.56 Following clause subsumed by 669 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.19/0.56 Following clause subsumed by 692 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.19/0.56 Following clause subsumed by 693 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 0.19/0.56 Following clause subsumed by 692 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.19/0.56 Following clause subsumed by 669 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.19/0.56 Following clause subsumed by 692 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.19/0.56 Following clause subsumed by 161 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.19/0.56 Following clause subsumed by 693 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B.
% 0.19/0.56 Following clause subsumed by 696 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 0.19/0.56 Following clause subsumed by 694 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 0.19/0.56 Following clause subsumed by 698 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 699 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 488 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,plus_plus_nat(A,C)),plus_plus_nat(B,D))).
% 0.19/0.56 Following clause subsumed by 494 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,C)),plus_plus_nat(B,C))).
% 0.19/0.56 Following clause subsumed by 482 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 491 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,plus_plus_nat(A,B)),plus_plus_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 705 during input processing: 0 [] {-} times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 0.19/0.56 Following clause subsumed by 706 during input processing: 0 [] {-} times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 0.19/0.56 Following clause subsumed by 707 during input processing: 0 [] {-} times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.19/0.56 Following clause subsumed by 705 during input processing: 0 [flip.1] {-} times_times_nat(A,B)!=one_one_nat|A=one_one_nat.
% 0.19/0.56 Following clause subsumed by 706 during input processing: 0 [flip.1] {-} times_times_nat(A,B)!=one_one_nat|B=one_one_nat.
% 0.19/0.56 Following clause subsumed by 707 during input processing: 0 [flip.1] {-} times_times_nat(A,B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.19/0.56 Following clause subsumed by 490 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,plus_plus_real(C,A)),plus_plus_real(C,B))).
% 0.19/0.56 Following clause subsumed by 562 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 0.19/0.56 Following clause subsumed by 563 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,minus_minus_int(A,B)),zero_zero_int)).
% 0.19/0.56 Following clause subsumed by 718 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.19/0.56 Following clause subsumed by 717 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.19/0.56 Following clause subsumed by 570 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,times_times_real(B,A)),times_times_real(C,A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.19/0.56 Following clause subsumed by 733 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|minus_minus_nat(A,B)=zero_zero_nat.
% 0.38/0.57 Following clause subsumed by 737 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_nat,minus_minus_nat(B,A)),minus_minus_nat(C,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.38/0.57 Following clause subsumed by 744 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|plus_plus_nat(C,minus_minus_nat(B,A))=minus_minus_nat(plus_plus_nat(C,B),A).
% 0.38/0.57 Following clause subsumed by 750 during input processing: 0 [flip.2] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|plus_plus_nat(minus_minus_nat(B,A),C)=minus_minus_nat(plus_plus_nat(B,C),A).
% 0.38/0.57 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.38/0.57 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.38/0.57 Following clause subsumed by 324 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.38/0.57 Following clause subsumed by 325 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.38/0.57 Following clause subsumed by 760 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))|nat(times_times_int(A,B))=times_times_nat(nat(A),nat(B)).
% 0.38/0.57 Following clause subsumed by 679 during input processing: 0 [] {-} A!=zero_zero_nat|times_times_nat(A,B)=zero_zero_nat.
% 0.38/0.57 Following clause subsumed by 240 during input processing: 0 [] {-} A!=zero_zero_nat|hAPP_nat_nat(power_power_nat(B),A)=one_one_nat.
% 0.38/0.57 Following clause subsumed by 805 during input processing: 0 [] {-} bit0(A)!=min.
% 0.38/0.57 Following clause subsumed by 807 during input processing: 0 [] {-} pls!=min.
% 0.38/0.57 Following clause subsumed by 780 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zprime,A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_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)).
% 0.38/0.57 Following clause subsumed by 833 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 0.38/0.57 Following clause subsumed by 834 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A)).
% 0.38/0.57 Following clause subsumed by 830 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(C,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.38/0.57 Following clause subsumed by 844 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))).
% 0.38/0.57 Following clause subsumed by 843 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))).
% 0.38/0.57 Following clause subsumed by 861 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(zcong(times_times_int(B,C),zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(B,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(C,zero_zero_int),A)).
% 0.38/0.57 Following clause subsumed by 861 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(zcong(B,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(C,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zcong(times_times_int(B,C),zero_zero_int),A)).
% 0.38/0.57 Following clause subsumed by 889 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.
% 0.38/0.57 Following clause subsumed by 885 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)).
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 894 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)).
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 888 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.
% 0.38/0.57 Following clause subsumed by 894 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)).
% 0.38/0.57 Following clause subsumed by 889 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.
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 897 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 0.38/0.57 Following clause subsumed by 897 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 0.38/0.57 Following clause subsumed by 894 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)).
% 0.38/0.57 Following clause subsumed by 894 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.
% 0.38/0.57 Following clause subsumed by 897 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 0.38/0.57 Following clause subsumed by 898 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|B!=A.
% 0.38/0.57 Following clause subsumed by 909 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(B,A),C)).
% 0.38/0.58 Following clause subsumed by 752 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),minus_minus_int(B,one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.38/0.58 Following clause subsumed by 860 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(zcong(A,zero_zero_int),B))|A=zero_zero_int.
% 0.38/0.58 Following clause subsumed by 778 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(zprime,B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),times_times_int(A,C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 0.38/0.58 Following clause subsumed by 782 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,times_times_int(A,B)),times_times_int(A,C))).
% 0.38/0.58 Following clause subsumed by 681 during input processing: 0 [] {-} times_times_nat(A,B)!=times_times_nat(A,C)|A=zero_zero_nat|B=C.
% 0.38/0.58 Following clause subsumed by 683 during input processing: 0 [] {-} times_times_nat(A,B)=times_times_nat(A,C)|A!=zero_zero_nat.
% 0.38/0.58 Following clause subsumed by 682 during input processing: 0 [] {-} times_times_nat(A,B)=times_times_nat(A,C)|B!=C.
% 0.38/0.58 Following clause subsumed by 722 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,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 717 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,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 682 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|times_times_nat(A,B)=times_times_nat(A,C)|B!=C.
% 0.38/0.58 Following clause subsumed by 831 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 863 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,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 831 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,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 402 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,times_times_nat(A,B)),times_times_nat(A,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 671 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,times_times_nat(A,B)),times_times_nat(A,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.38/0.58 Following clause subsumed by 1009 during input processing: 0 [] {-} -is_bool(A)|A=fTrue|A=fFalse.
% 0.38/0.58 Following clause subsumed by 101 during input processing: 0 [copy,100,flip.1] {-} bit0(A)!=bit1(B).
% 0.46/0.65 Following clause subsumed by 100 during input processing: 0 [copy,101,flip.1] {-} bit1(A)!=bit0(B).
% 0.46/0.65 115 back subsumes 18.
% 0.46/0.65 121 back subsumes 20.
% 0.46/0.65 145 back subsumes 22.
% 0.46/0.65 146 back subsumes 23.
% 0.46/0.65 147 back subsumes 24.
% 0.46/0.65 201 back subsumes 115.
% 0.46/0.65 202 back subsumes 121.
% 0.46/0.65 225 back subsumes 116.
% 0.46/0.65 226 back subsumes 117.
% 0.46/0.65 227 back subsumes 118.
% 0.46/0.65 228 back subsumes 119.
% 0.46/0.65 229 back subsumes 120.
% 0.46/0.65 230 back subsumes 122.
% 0.46/0.65 231 back subsumes 123.
% 0.46/0.65 240 back subsumes 146.
% 0.46/0.65 509 back subsumes 507.
% 0.46/0.65 510 back subsumes 508.
% 0.46/0.65 608 back subsumes 605.
% 0.46/0.65 608 back subsumes 509.
% 0.46/0.65 670 back subsumes 352.
% 0.46/0.65 671 back subsumes 349.
% 0.46/0.65 674 back subsumes 342.
% 0.46/0.65 674 back subsumes 339.
% 0.46/0.65 714 back subsumes 709.
% 0.46/0.65 720 back subsumes 411.
% 0.46/0.65 722 back subsumes 408.
% 0.46/0.65 763 back subsumes 757.
% 0.46/0.65 764 back subsumes 758.
% 0.46/0.65 824 back subsumes 635.
% 0.46/0.65 826 back subsumes 820.
% 0.46/0.65 884 back subsumes 883.
% 0.46/0.65 884 back subsumes 882.
% 0.46/0.65 893 back subsumes 890.
% 0.46/0.65 893 back subsumes 885.
% 0.46/0.65 893 back subsumes 884.
% 0.46/0.65 895 back subsumes 892.
% 0.46/0.65 895 back subsumes 886.
% 0.46/0.65 896 back subsumes 891.
% 0.46/0.65 896 back subsumes 887.
% 0.46/0.65 897 back subsumes 888.
% 0.46/0.65 897 back subsumes 847.
% 0.46/0.65 898 back subsumes 889.
% 0.46/0.65 1083 back subsumes 1073.
% 0.46/0.65 1086 back subsumes 1078.
% 0.46/0.65 1239 back subsumes 1237.
% 0.46/0.65 1240 back subsumes 1174.
% 0.46/0.65 1256 back subsumes 1214.
% 0.46/0.65
% 0.46/0.65 ------------> process sos:
% 0.46/0.65 Following clause subsumed by 1425 during input processing: 0 [demod,1420] {-} one_one_int=one_one_int.
% 0.46/0.65 Following clause subsumed by 1451 during input processing: 0 [demod,1449] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.65 Following clause subsumed by 1478 during input processing: 0 [demod,1434,1471,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1478 during input processing: 0 [demod,1471,1434,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1482 during input processing: 0 [demod,1480] {-} zero_zero_real=zero_zero_real.
% 0.46/0.65 Following clause subsumed by 1495 during input processing: 0 [demod,1431] {-} plus_plus_int(number_number_of_int(A),number_number_of_int(B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)).
% 0.46/0.65 Following clause subsumed by 1500 during input processing: 0 [demod,1476,1498,1485] {-} plus_plus_real(number267125858f_real(A),number267125858f_real(A))=plus_plus_real(number267125858f_real(A),number267125858f_real(A)).
% 0.46/0.65 Following clause subsumed by 1478 during input processing: 0 [demod,1471,1453,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1558 during input processing: 0 [] {-} A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.46/0.65 Following clause subsumed by 1558 during input processing: 0 [factor_simp] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 0.46/0.65 Following clause subsumed by 1563 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.46/0.65 Following clause subsumed by 1425 during input processing: 0 [demod,1447] {-} one_one_int=one_one_int.
% 0.46/0.65 Following clause subsumed by 1439 during input processing: 0 [demod,1437] {-} hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 0.46/0.65 Following clause subsumed by 1425 during input processing: 0 [demod,1447] {-} one_one_int=one_one_int.
% 0.46/0.65 Following clause subsumed by 1582 during input processing: 0 [demod,1445] {-} plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.46/0.65 Following clause subsumed by 1439 during input processing: 0 [demod,1437] {-} hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 0.46/0.65 Following clause subsumed by 1478 during input processing: 0 [demod,1453,1471,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1425 during input processing: 0 [demod,1607] {-} one_one_int=one_one_int.
% 0.46/0.65 Following clause subsumed by 1461 during input processing: 0 [demod,1609] {-} one_one_nat=one_one_nat.
% 0.46/0.65 Following clause subsumed by 1427 during input processing: 0 [demod,1611] {-} one_one_real=one_one_real.
% 0.46/0.65 Following clause subsumed by 1629 during input processing: 0 [demod,1463] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1631 during input processing: 0 [demod,1562] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.46/0.65 Following clause subsumed by 1629 during input processing: 0 [demod,1463] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1631 during input processing: 0 [demod,1562] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.46/0.65 Following clause subsumed by 1635 during input processing: 0 [demod,1633] {-} plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(A,plus_plus_real(B,C)).
% 0.46/0.65 Following clause subsumed by 1464 during input processing: 0 [] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 0.46/0.65 Following clause subsumed by 1560 during input processing: 0 [] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 0.46/0.65 Following clause subsumed by 1465 during input processing: 0 [] {-} plus_plus_int(A,B)=plus_plus_int(B,A).
% 0.46/0.65 Following clause subsumed by 1559 during input processing: 0 [] {-} plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1488] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1566] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1488] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1566] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1488] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1568] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1485] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1568] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1485] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1568] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1485] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1570] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1572] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1557 during input processing: 0 [demod,1653] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1662] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1665] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1668] {-} times_times_real(A,times_times_real(B,C))=times_times_real(A,times_times_real(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1662] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1665] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1668] {-} times_times_real(A,times_times_real(B,C))=times_times_real(A,times_times_real(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1662] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(B,times_times_int(C,D))).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1665] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(B,times_times_nat(C,D))).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1668] {-} times_times_real(A,times_times_real(B,times_times_real(C,D)))=times_times_real(A,times_times_real(B,times_times_real(C,D))).
% 0.46/0.65 Following clause subsumed by 1654 during input processing: 0 [] {-} times_times_int(A,B)=times_times_int(B,A).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1662] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1690] {-} times_times_real(number267125858f_real(A),number267125858f_real(B))=times_times_real(number267125858f_real(A),number267125858f_real(B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1692] {-} times_times_int(number_number_of_int(A),number_number_of_int(B))=times_times_int(number_number_of_int(A),number_number_of_int(B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1690,1668] {-} times_times_real(number267125858f_real(A),times_times_real(number267125858f_real(B),C))=times_times_real(number267125858f_real(A),times_times_real(number267125858f_real(B),C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1692,1662] {-} times_times_int(number_number_of_int(A),times_times_int(number_number_of_int(B),C))=times_times_int(number_number_of_int(A),times_times_int(number_number_of_int(B),C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1762] {-} zero_zero_real=zero_zero_real.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1764] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1471,1767,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1755] {-} zero_zero_real=zero_zero_real.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1757] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1471,1760,1471] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1775,1633] {-} plus_plus_real(times_times_real(A,B),plus_plus_real(times_times_real(C,B),D))=plus_plus_real(times_times_real(A,B),plus_plus_real(times_times_real(C,B),D)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1777,1562] {-} plus_plus_nat(times_times_nat(A,B),plus_plus_nat(times_times_nat(C,B),D))=plus_plus_nat(times_times_nat(A,B),plus_plus_nat(times_times_nat(C,B),D)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1779,1463] {-} plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D))=plus_plus_int(times_times_int(A,B),plus_plus_int(times_times_int(C,B),D)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1775] {-} plus_plus_real(times_times_real(A,B),times_times_real(C,B))=plus_plus_real(times_times_real(A,B),times_times_real(C,B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1777] {-} plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B))=plus_plus_nat(times_times_nat(A,B),times_times_nat(C,B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1779] {-} plus_plus_int(times_times_int(A,B),times_times_int(C,B))=plus_plus_int(times_times_int(A,B),times_times_int(C,B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1775] {-} plus_plus_real(times_times_real(A,C),times_times_real(B,C))=plus_plus_real(times_times_real(A,C),times_times_real(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1777] {-} plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1779] {-} plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1789] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1791] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1789] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1791] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1793] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1795] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1793] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1795] {-} A=A.
% 0.46/0.65 Following clause subsumed by 1656 during input processing: 0 [] {-} times_times_real(hAPP_nat_real(power_power_real(A),B),A)=times_times_real(A,hAPP_nat_real(power_power_real(A),B)).
% 0.46/0.65 Following clause subsumed by 1655 during input processing: 0 [] {-} times_times_nat(hAPP_nat_nat(power_power_nat(A),B),A)=times_times_nat(A,hAPP_nat_nat(power_power_nat(A),B)).
% 0.46/0.65 Following clause subsumed by 1654 during input processing: 0 [] {-} times_times_int(hAPP_nat_int(power_power_int(A),B),A)=times_times_int(A,hAPP_nat_int(power_power_int(A),B)).
% 0.46/0.65 Following clause subsumed by 1796 during input processing: 0 [] {-} hAPP_nat_real(power_power_real(times_times_real(A,B)),C)=times_times_real(hAPP_nat_real(power_power_real(A),C),hAPP_nat_real(power_power_real(B),C)).
% 0.46/0.65 Following clause subsumed by 1797 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(times_times_nat(A,B)),C)=times_times_nat(hAPP_nat_nat(power_power_nat(A),C),hAPP_nat_nat(power_power_nat(B),C)).
% 0.46/0.65 Following clause subsumed by 1798 during input processing: 0 [] {-} hAPP_nat_int(power_power_int(times_times_int(A,B)),C)=times_times_int(hAPP_nat_int(power_power_int(A),C),hAPP_nat_int(power_power_int(B),C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1760] {-} pls=pls.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1476,1779,1476] {-} plus_plus_int(times_times_int(A,B),times_times_int(A,B))=plus_plus_int(times_times_int(A,B),times_times_int(A,B)).
% 0.46/0.65 Following clause subsumed by 1687 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.46/0.65 Following clause subsumed by 1687 during input processing: 0 [demod,1471,1471] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1785] {-} plus_plus_int(times_times_int(A,B),times_times_int(A,C))=plus_plus_int(times_times_int(A,B),times_times_int(A,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1779] {-} plus_plus_int(times_times_int(A,C),times_times_int(B,C))=plus_plus_int(times_times_int(A,C),times_times_int(B,C)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1692] {-} times_times_int(number_number_of_int(A),number_number_of_int(B))=times_times_int(number_number_of_int(A),number_number_of_int(B)).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1471,1810] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1813] {-} nat(number_number_of_int(A))=nat(number_number_of_int(A)).
% 0.46/0.65 Following clause subsumed by 1823 during input processing: 0 [demod,1471] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 0.46/0.65 Following clause subsumed by 1639 during input processing: 0 [demod,1508,1508,1463,1463,1813,1431,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1508,1508,1463,1463,1431,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531] {-} nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int)))))=nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int))))).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1508,1476,1463,1463,1813,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1508,1476,1463,1463,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531] {-} nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int))))=nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,plus_plus_int(pls,one_one_int)))).
% 0.46/0.66 Following clause subsumed by 1859 during input processing: 0 [demod,1508,1476,1463,1463,1476,1463,1463,1463,1463,1463,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1463,1463,1463,1463,1463,1463,1463,1463,1463] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,plus_plus_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(one_one_int,m),one_one_int)))))))))))).
% 0.46/0.66 Following clause subsumed by 1861 during input processing: 0 [demod,1508,1476,1463,1463,1476,1463,1463,1463,1463,1463,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1463,1463,1463,1463,1463,1463,1463,1463,1463,1785,1779,1662,1779,1760,1779,1760,1779,1662,1779,1760,1779,1760,1779,1662,1779,1760,1779,1760,1779,1662,1779,1662,1779,1760,1779,1760,1779,1662,1779,1760,1779,1760,1779,1662,1779,1760,1779,1760,1779,1662,1463,1463,1463,1463,1463,1463,1463,1463,1463,1463] {-} hBOOL(hAPP_int_bool(twoSqu1154269391sum2sq,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,one_one_int)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,one_one_int)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,one_one_int)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(one_one_int,times_times_int(m,one_one_int)),plus_plus_int(times_times_int(one_one_int,one_one_int),plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,hAPP_nat_int(semiri1621563631at_int,n))),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(one_one_int,times_times_int(m,hAPP_nat_int(semiri1621563631at_int,n))),times_times_int(one_one_int,hAPP_nat_int(semiri1621563631at_int,n))))))))))))))))))))))))).
% 0.46/0.66 Following clause subsumed by 1655 during input processing: 0 [] {-} times_times_nat(A,B)=times_times_nat(B,A).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1665] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(B,C)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1476,1476,1476,1749] {-} minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B))=minus_minus_int(plus_plus_int(A,A),plus_plus_int(B,B)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1757] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1764] {-} zero_zero_nat=zero_zero_nat.
% 0.46/0.66 Following clause subsumed by 1862 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1777] {-} plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C))=plus_plus_nat(times_times_nat(A,C),times_times_nat(B,C)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1783] {-} plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C))=plus_plus_nat(times_times_nat(A,B),times_times_nat(A,C)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1791] {-} A=A.
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1795] {-} A=A.
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1793] {-} A=A.
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1775] {-} plus_plus_real(times_times_real(A,C),times_times_real(B,C))=plus_plus_real(times_times_real(A,C),times_times_real(B,C)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1712] {-} times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1712] {-} times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1712] {-} times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=times_times_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.46/0.66 Following clause subsumed by 1656 during input processing: 0 [] {-} times_times_real(A,B)=times_times_real(B,A).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1668] {-} times_times_real(A,times_times_real(B,C))=times_times_real(A,times_times_real(B,C)).
% 0.46/0.66 Following clause subsumed by 1948 during input processing: 0 [demod,1508,1476,1463,1463,1476,1463,1463,1463,1463,1463,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1779,1779,1760,1779,1760,1463,1463,1463,1463,1463,1463,1463,1463,1463,1508,1476,1463,1463,1813,1431,1431,1434,1471,1431,1434,1471,1431,1431,1434,1471,1434,1471,1531,1954] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),m),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(one_one_int,m),one_one_int))))))))))),plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,$c5)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,$c5)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(number_number_of_int(one_one_int),times_times_int(m,$c5)),plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(times_times_int(one_one_int,times_times_int(m,$c5)),times_times_int(one_one_int,$c5))))))))))))).
% 0.46/0.66 Following clause subsumed by 1687 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)).
% 0.46/0.66 Following clause subsumed by 1958 during input processing: 0 [demod,1471] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1476,1508,1749,1902,1962] {-} minus_minus_int(min,plus_plus_int(A,A))=minus_minus_int(min,plus_plus_int(A,A)).
% 0.46/0.66 Following clause subsumed by 1639 during input processing: 0 [demod,1886,1662,1886,1662,1749,1785] {-} minus_minus_int(plus_plus_int(times_times_int(A,D),times_times_int(E,G)),plus_plus_int(times_times_int(B,times_times_int(C,D)),times_times_int(B,times_times_int(F,G))))=minus_minus_int(plus_plus_int(times_times_int(A,D),times_times_int(E,G)),plus_plus_int(times_times_int(B,times_times_int(C,D)),times_times_int(B,times_times_int(F,G)))).
% 0.53/0.73 Following clause subsumed by 1687 during input processing: 0 [demod,1471,1434,1471] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [demod,1777,1562] {-} plus_plus_nat(times_times_nat(A,B),plus_plus_nat(times_times_nat(C,B),D))=plus_plus_nat(times_times_nat(A,B),plus_plus_nat(times_times_nat(C,B),D)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [] {-} A=A.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1406,flip.1,demod,1968,1968] {-} minus_minus_int(one_one_int,min)=minus_minus_int(one_one_int,min).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1411,flip.1] {-} plus_plus_real(one_one_real,one_one_real)=plus_plus_real(one_one_real,one_one_real).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1425,flip.1] {-} one_one_int=one_one_int.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1427,flip.1] {-} one_one_real=one_one_real.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1439,flip.1] {-} hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1451,flip.1] {-} zero_zero_nat=zero_zero_nat.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1455,flip.1] {-} plus_plus_nat(one_one_nat,one_one_nat)=plus_plus_nat(one_one_nat,one_one_nat).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1461,flip.1] {-} one_one_nat=one_one_nat.
% 0.53/0.73 Following clause subsumed by 1464 during input processing: 0 [copy,1464,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(B,plus_plus_int(A,C)).
% 0.53/0.73 Following clause subsumed by 1465 during input processing: 0 [copy,1465,flip.1] {-} plus_plus_int(A,B)=plus_plus_int(B,A).
% 0.53/0.73 1465 back subsumes 1406.
% 0.53/0.73 1465 back subsumes 1354.
% 0.53/0.73 1465 back subsumes 1333.
% 0.53/0.73 1465 back subsumes 1332.
% 0.53/0.73 1465 back subsumes 1330.
% 0.53/0.73 1465 back subsumes 1327.
% 0.53/0.73 1465 back subsumes 1326.
% 0.53/0.73 1465 back subsumes 1323.
% 0.53/0.73 1465 back subsumes 1165.
% 0.53/0.73 1465 back subsumes 1159.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1478,flip.1] {-} pls=pls.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1482,flip.1] {-} zero_zero_real=zero_zero_real.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1490,flip.1] {-} plus_plus_int(number_number_of_int(A),plus_plus_int(number_number_of_int(B),C))=plus_plus_int(number_number_of_int(A),plus_plus_int(number_number_of_int(B),C)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1495,flip.1] {-} plus_plus_int(number_number_of_int(A),number_number_of_int(B))=plus_plus_int(number_number_of_int(A),number_number_of_int(B)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1500,flip.1] {-} plus_plus_real(number267125858f_real(A),number267125858f_real(B))=plus_plus_real(number267125858f_real(A),number267125858f_real(B)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1528,flip.1,demod,1633,1537] {-} plus_plus_real(one_one_real,plus_plus_real(number267125858f_real(A),number267125858f_real(A)))=plus_plus_real(one_one_real,plus_plus_real(number267125858f_real(A),number267125858f_real(A))).
% 0.53/0.73 1551 back subsumes 1416.
% 0.53/0.73 1552 back subsumes 1417.
% 0.53/0.73 Following clause subsumed by 1559 during input processing: 0 [copy,1559,flip.1] {-} plus_plus_nat(A,B)=plus_plus_nat(B,A).
% 0.53/0.73 1559 back subsumes 1455.
% 0.53/0.73 Following clause subsumed by 1560 during input processing: 0 [copy,1560,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(B,plus_plus_nat(A,C)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1582,flip.1] {-} plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B))=plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A),hAPP_nat_int(semiri1621563631at_int,B)).
% 0.53/0.73 1603 back subsumes 1028.
% 0.53/0.73 1603 back subsumes 1027.
% 0.53/0.73 Following clause subsumed by 1619 during input processing: 0 [copy,1619,flip.1] {-} plus_plus_int(A,plus_plus_int(B,plus_plus_int(C,D)))=plus_plus_int(A,plus_plus_int(C,plus_plus_int(B,D))).
% 0.53/0.73 Following clause subsumed by 1621 during input processing: 0 [copy,1621,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,plus_plus_nat(C,D)))=plus_plus_nat(A,plus_plus_nat(C,plus_plus_nat(B,D))).
% 0.53/0.73 Following clause subsumed by 1624 during input processing: 0 [copy,1624,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(C,B)).
% 0.53/0.73 Following clause subsumed by 1626 during input processing: 0 [copy,1626,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(C,B)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1629,flip.1] {-} plus_plus_int(A,plus_plus_int(B,C))=plus_plus_int(A,plus_plus_int(B,C)).
% 0.53/0.73 1629 back subsumes 1490.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1631,flip.1] {-} plus_plus_nat(A,plus_plus_nat(B,C))=plus_plus_nat(A,plus_plus_nat(B,C)).
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1635,flip.1] {-} plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(A,plus_plus_real(B,C)).
% 0.53/0.73 Following clause subsumed by 1636 during input processing: 0 [copy,1636,flip.1] {-} plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(B,plus_plus_real(A,C)).
% 0.53/0.73 Following clause subsumed by 1637 during input processing: 0 [copy,1637,flip.1] {-} plus_plus_real(A,B)=plus_plus_real(B,A).
% 0.53/0.73 1637 back subsumes 1411.
% 0.53/0.73 Following clause subsumed by 1639 during input processing: 0 [copy,1639,flip.1] {-} A=A.
% 0.53/0.73 1639 back subsumes 1635.
% 0.53/0.73 1639 back subsumes 1631.
% 0.53/0.73 1639 back subsumes 1629.
% 0.53/0.73 1639 back subsumes 1582.
% 0.53/0.73 1639 back subsumes 1500.
% 0.53/0.73 1639 back subsumes 1495.
% 0.53/0.73 1639 back subsumes 1482.
% 0.53/0.73 1639 back subsumes 1478.
% 0.53/0.73 1639 back subsumes 1461.
% 0.53/0.73 1639 back subsumes 1451.
% 0.53/0.73 1639 back subsumes 1439.
% 0.53/0.73 1639 back subsumes 1427.
% 0.53/0.73 1639 back subsumes 1425.
% 0.53/0.73 1639 back subsumes 1335.
% 0.53/0.73 1639 back subsumes 1331.
% 0.53/0.73 1639 back subsumes 1329.
% 0.53/0.73 1639 back subsumes 1324.
% 0.53/0.73 1639 back subsumes 1322.
% 0.53/0.73 1639 back subsumes 1320.
% 0.53/0.73 1639 back subsumes 1319.
% 0.53/0.73 1639 back subsumes 1318.
% 0.53/0.73 1639 back subsumes 1317.
% 0.53/0.73 1639 back subsumes 1316.
% 0.53/0.73 1639 back subsumes 1312.
% 0.53/0.73 1639 back subsumes 1311.
% 0.53/0.73 1639 back subsumes 1310.
% 0.53/0.73 1639 back subsumes 1309.
% 0.53/0.73 1639 back subsumes 1307.
% 0.53/0.73 1639 back subsumes 1306.
% 0.53/0.73 1639 back subsumes 1284.
% 0.53/0.73 1639 back subsumes 1270.
% 0.53/0.73 1639 back subsumes 1250.
% 0.53/0.73 1639 back subsumes 1227.
% 0.53/0.73 1639 back subsumes 1226.
% 0.53/0.73 1639 back subsumes 1217.
% 0.53/0.73 1639 back subsumes 1168.
% 0.53/0.73 1639 back subsumes 1162.
% 0.53/0.73 1639 back subsumes 1155.
% 0.53/0.73 1639 back subsumes 1152.
% 0.53/0.73 1639 back subsumes 1148.
% 0.53/0.73 1639 back subsumes 1063.
% 0.53/0.73 1639 back subsumes 1054.
% 0.53/0.73 1639 back subsumes 1053.
% 0.53/0.73 1639 back subsumes 1042.
% 0.53/0.73 1639 back subsumes 1041.
% 0.53/0.73 1639 back subsumes 1040.
% 0.53/0.73 1639 back subsumes 1039.
% 0.53/0.73 1639 back subsumes 1022.
% 0.53/0.73 1639 back subsumes 1021.
% 0.53/0.73 1639 back subsumes 1020.
% 0.53/0.73 1639 back subsumes 1019.
% 0.53/0.73 1639 back subsumes 1018.
% 0.53/0.73 Following clause subsumed by 1654 during input processing: 0 [copy,1654,flip.1] {-} times_times_int(A,B)=times_times_int(B,A).
% 0.53/0.73 Following clause subsumed by 1655 during input processing: 0 [copy,1655,flip.1] {-} times_times_nat(A,B)=times_times_nat(B,A).
% 0.53/0.73 Following clause subsumed by 1656 during input processing: 0 [copy,1656,flip.1] {-} times_times_real(A,B)=times_times_real(B,A).
% 0.53/0.73 Following clause subsumed by 1657 during input processing: 0 [copy,1657,flip.1] {-} times_times_int(A,times_times_int(B,C))=times_times_int(B,times_times_int(A,C)).
% 0.53/0.73 Following clause subsumed by 1658 during input processing: 0 [copy,1658,flip.1] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(B,times_times_nat(A,C)).
% 0.53/0.73 Following clause subsumed by 1659 during input processing: 0 [copy,1659,flip.1] {-} times_times_real(A,times_times_real(B,C))=times_times_real(B,times_times_real(A,C)).
% 0.53/0.73 Following clause subsumed by 1670 during input processing: 0 [copy,1670,flip.1] {-} times_times_int(A,times_times_int(B,C))=times_times_int(A,times_times_int(C,B)).
% 0.53/0.73 Following clause subsumed by 1672 during input processing: 0 [copy,1672,flip.1] {-} times_times_nat(A,times_times_nat(B,C))=times_times_nat(A,times_times_nat(C,B)).
% 0.58/0.78 Following clause subsumed by 1674 during input processing: 0 [copy,1674,flip.1] {-} times_times_real(A,times_times_real(B,C))=times_times_real(A,times_times_real(C,B)).
% 0.58/0.78 Following clause subsumed by 1682 during input processing: 0 [copy,1682,flip.1] {-} times_times_real(A,times_times_real(B,times_times_real(C,D)))=times_times_real(A,times_times_real(C,times_times_real(B,D))).
% 0.58/0.78 Following clause subsumed by 1684 during input processing: 0 [copy,1684,flip.1] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(A,times_times_nat(C,times_times_nat(B,D))).
% 0.58/0.78 Following clause subsumed by 1686 during input processing: 0 [copy,1686,flip.1] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(A,times_times_int(C,times_times_int(B,D))).
% 0.58/0.78 1687 back subsumes 1240.
% 0.58/0.78 1688 back subsumes 767.
% 0.58/0.78 Following clause subsumed by 1713 during input processing: 0 [copy,1713,flip.1] {-} minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(minus_minus_nat(A,C),B).
% 0.58/0.78 1725 back subsumes 1070.
% 0.58/0.78 1725 back subsumes 1069.
% 0.58/0.78 1862 back subsumes 1097.
% 0.58/0.78 1862 back subsumes 354.
% 0.58/0.78 1879 back subsumes 1224.
% 0.58/0.78 1944 back subsumes 382.
% 0.58/0.78 1944 back subsumes 379.
% 0.58/0.78 1944 back subsumes 374.
% 0.58/0.78 1944 back subsumes 371.
% 0.58/0.78 2276 back subsumes 2155.
% 0.58/0.78 2276 back subsumes 2154.
% 0.58/0.78 2442 back subsumes 2203.
% 0.58/0.78 Following clause subsumed by 2473 during input processing: 0 [copy,2473,flip.1] {-} plus_plus_real(A,plus_plus_real(B,plus_plus_real(C,D)))=plus_plus_real(A,plus_plus_real(C,plus_plus_real(B,D))).
% 0.58/0.78 Following clause subsumed by 2474 during input processing: 0 [copy,2474,flip.1] {-} plus_plus_real(A,plus_plus_real(B,C))=plus_plus_real(A,plus_plus_real(C,B)).
% 0.58/0.78 Following clause subsumed by 1676 during input processing: 0 [copy,2478,flip.1] {-} times_times_real(A,times_times_real(B,times_times_real(C,D)))=times_times_real(C,times_times_real(A,times_times_real(B,D))).
% 0.58/0.78 Following clause subsumed by 1678 during input processing: 0 [copy,2479,flip.1] {-} times_times_nat(A,times_times_nat(B,times_times_nat(C,D)))=times_times_nat(C,times_times_nat(A,times_times_nat(B,D))).
% 0.58/0.78 Following clause subsumed by 1680 during input processing: 0 [copy,2480,flip.1] {-} times_times_int(A,times_times_int(B,times_times_int(C,D)))=times_times_int(C,times_times_int(A,times_times_int(B,D))).
% 0.58/0.78 2487 back subsumes 725.
% 0.58/0.78 Following clause subsumed by 1796 during input processing: 0 [copy,2503,flip.1] {-} hAPP_nat_real(power_power_real(times_times_real(A,B)),C)=times_times_real(hAPP_nat_real(power_power_real(A),C),hAPP_nat_real(power_power_real(B),C)).
% 0.58/0.78 Following clause subsumed by 1797 during input processing: 0 [copy,2504,flip.1] {-} hAPP_nat_nat(power_power_nat(times_times_nat(A,B)),C)=times_times_nat(hAPP_nat_nat(power_power_nat(A),C),hAPP_nat_nat(power_power_nat(B),C)).
% 0.58/0.78 Following clause subsumed by 1798 during input processing: 0 [copy,2505,flip.1] {-} hAPP_nat_int(power_power_int(times_times_int(A,B)),C)=times_times_int(hAPP_nat_int(power_power_int(A),C),hAPP_nat_int(power_power_int(B),C)).
% 0.58/0.78 Following clause subsumed by 1803 during input processing: 0 [copy,2506,flip.1] {-} minus_minus_nat(minus_minus_nat(A,B),C)=minus_minus_nat(A,plus_plus_nat(B,C)).
% 0.58/0.78 Following clause subsumed by 1835 during input processing: 0 [copy,2539,flip.1] {-} plus_plus_int(times_times_int(one_one_int,A),plus_plus_int(times_times_int(B,A),times_times_int(B,A)))=plus_plus_int(times_times_int(B,A),plus_plus_int(times_times_int(B,A),A)).
% 0.58/0.78 Following clause subsumed by 2607 during input processing: 0 [copy,2547,flip.1] {-} plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(A,minus_minus_int(plus_plus_int(B,B),min))))=plus_plus_int(A,plus_plus_int(B,plus_plus_int(one_one_int,plus_plus_int(A,minus_minus_int(B,min))))).
% 0.58/0.78 Following clause subsumed by 1896 during input processing: 0 [copy,2578,flip.1] {-} hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A),B)),C)=hAPP_nat_int(power_power_int(A),times_times_nat(B,C)).
% 0.58/0.78 Following clause subsumed by 2594 during input processing: 0 [copy,2579,flip.1] {-} minus_minus_int(plus_plus_int(times_times_int(A,A),times_times_int(B,A)),plus_plus_int(times_times_int(A,B),times_times_int(B,B)))=minus_minus_int(hAPP_nat_int(power_power_int(A),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))),hAPP_nat_int(power_power_int(B),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min)))))).
% 0.58/0.78 Following clause subsumed by 2593 during input processing: 0 [copy,2580,flip.1] {-} minus_minus_nat(hAPP_nat_nat(power_power_nat(A),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))),hAPP_nat_nat(power_power_nat(B),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))))=minus_minus_nat(plus_plus_nat(times_times_nat(A,A),times_times_nat(B,A)),plus_plus_nat(times_times_nat(A,B),times_times_nat(B,B))).
% 0.58/0.78 Following clause subsumed by 2580 during input processing: 0 [copy,2593,flip.1] {-} minus_minus_nat(plus_plus_nat(times_times_nat(A,A),times_times_nat(B,A)),plus_plus_nat(times_times_nat(A,B),times_times_nat(B,B)))=minus_minus_nat(hAPP_nat_nat(power_power_nat(A),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))),hAPP_nat_nat(power_power_nat(B),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min)))))).
% 0.58/0.78 Following clause subsumed by 2579 during input processing: 0 [copy,2594,flip.1] {-} minus_minus_int(hAPP_nat_int(power_power_int(A),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))),hAPP_nat_int(power_power_int(B),nat(plus_plus_int(number_number_of_int(one_one_int),plus_plus_int(pls,minus_minus_int(pls,min))))))=minus_minus_int(plus_plus_int(times_times_int(A,A),times_times_int(B,A)),plus_plus_int(times_times_int(A,B),times_times_int(B,B))).
% 0.58/0.78 Following clause subsumed by 2547 during input processing: 0 [copy,2607,flip.1] {-} plus_plus_int(A,plus_plus_int(B,plus_plus_int(one_one_int,plus_plus_int(A,minus_minus_int(B,min)))))=plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(A,minus_minus_int(plus_plus_int(B,B),min)))).
% 0.58/0.78 Following clause subsumed by 2630 during input processing: 0 [copy,2629,flip.1] {-} plus_plus_int(A,A)!=minus_minus_int(plus_plus_int(B,B),min).
% 0.58/0.78 Following clause subsumed by 2629 during input processing: 0 [copy,2630,flip.1] {-} minus_minus_int(plus_plus_int(A,A),min)!=plus_plus_int(B,B).
% 0.58/0.78 Following clause subsumed by 2632 during input processing: 0 [copy,2631,flip.1] {-} plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(A,plus_plus_int(B,B))))=plus_plus_int(A,plus_plus_int(A,minus_minus_int(plus_plus_int(B,B),min))).
% 0.58/0.78 Following clause subsumed by 2631 during input processing: 0 [copy,2632,flip.1] {-} plus_plus_int(A,plus_plus_int(A,minus_minus_int(plus_plus_int(B,B),min)))=plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(A,plus_plus_int(B,B)))).
% 0.58/0.78 Following clause subsumed by 2421 during input processing: 0 [copy,2633,flip.1] {-} plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(B,plus_plus_int(A,B))))=plus_plus_int(one_one_int,plus_plus_int(A,plus_plus_int(A,plus_plus_int(B,B)))).
% 0.58/0.78 Following clause subsumed by 2638 during input processing: 0 [copy,2709,flip.1] {-} minus_minus_int(minus_minus_int(plus_plus_int(A,A),min),min)=minus_minus_int(plus_plus_int(A,A),plus_plus_int(min,min)).
% 0.58/0.78 Following clause subsumed by 2675 during input processing: 0 [copy,2710,flip.1] {-} minus_minus_int(min,minus_minus_int(plus_plus_int(A,A),min))=minus_minus_int(plus_plus_int(min,min),plus_plus_int(A,A)).
% 0.58/0.78
% 0.58/0.78 ======= end of input processing =======
% 0.58/0.78
% 0.58/0.78 SEGMENTATION FAULT!! This is probably caused by a
% 0.58/0.78 bug in Otter. Please send copy of the input file to
% 0.58/0.78 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.58/0.78 using, and send any other info that might be useful.
% 0.58/0.78
% 0.58/0.78
% 0.58/0.78 SEGMENTATION FAULT!! This is probably caused by a
% 0.58/0.78 bug in Otter. Please send copy of the input file to
% 0.58/0.78 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.58/0.78 using, and send any other info that might be useful.
% 0.58/0.78
% 0.58/0.78
% 0.58/0.78 The job finished Tue Jul 5 11:40:08 2022
%------------------------------------------------------------------------------