TSTP Solution File: NUM924+3 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n009.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 14:23:09 EDT 2022
% Result : Theorem 0.66s 0.86s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM924+3 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 22:22:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/0.55 ----- Otter 3.2, August 2001 -----
% 0.36/0.55 The process was started by sandbox on n009.cluster.edu,
% 0.36/0.55 Tue Jul 5 22:22:37 2022
% 0.36/0.55 The command was "./sos". The process ID is 32120.
% 0.36/0.55
% 0.36/0.55 set(prolog_style_variables).
% 0.36/0.55 set(auto).
% 0.36/0.55 dependent: set(auto1).
% 0.36/0.55 dependent: set(process_input).
% 0.36/0.55 dependent: clear(print_kept).
% 0.36/0.55 dependent: clear(print_new_demod).
% 0.36/0.55 dependent: clear(print_back_demod).
% 0.36/0.55 dependent: clear(print_back_sub).
% 0.36/0.55 dependent: set(control_memory).
% 0.36/0.55 dependent: assign(max_mem, 12000).
% 0.36/0.55 dependent: assign(pick_given_ratio, 4).
% 0.36/0.55 dependent: assign(stats_level, 1).
% 0.36/0.55 dependent: assign(pick_semantic_ratio, 3).
% 0.36/0.55 dependent: assign(sos_limit, 5000).
% 0.36/0.55 dependent: assign(max_weight, 60).
% 0.36/0.55 clear(print_given).
% 0.36/0.55
% 0.36/0.55 formula_list(usable).
% 0.36/0.55
% 0.36/0.55 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=1, max_lits=10.
% 0.36/0.55
% 0.36/0.55 This ia a non-Horn set with equality. The strategy will be
% 0.36/0.55 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.36/0.55 unit deletion, with positive clauses in sos and nonpositive
% 0.36/0.55 clauses in usable.
% 0.36/0.55
% 0.36/0.55 dependent: set(knuth_bendix).
% 0.36/0.55 dependent: set(para_from).
% 0.36/0.55 dependent: set(para_into).
% 0.36/0.55 dependent: clear(para_from_right).
% 0.36/0.55 dependent: clear(para_into_right).
% 0.36/0.55 dependent: set(para_from_vars).
% 0.36/0.55 dependent: set(eq_units_both_ways).
% 0.36/0.55 dependent: set(dynamic_demod_all).
% 0.36/0.55 dependent: set(dynamic_demod).
% 0.36/0.55 dependent: set(order_eq).
% 0.36/0.55 dependent: set(back_demod).
% 0.36/0.55 dependent: set(lrpo).
% 0.36/0.55 dependent: set(hyper_res).
% 0.36/0.55 dependent: set(unit_deletion).
% 0.36/0.55 dependent: set(factor).
% 0.36/0.55
% 0.36/0.55 There is a clause for symmetry of equality, so it is
% 0.36/0.55 assumed that equality is fully axiomatized; therefore,
% 0.36/0.55 paramodulation is disabled.
% 0.36/0.55
% 0.36/0.55 dependent: clear(para_from).
% 0.36/0.55 dependent: clear(para_into).
% 0.36/0.55
% 0.36/0.55 ------------> process usable:
% 0.36/0.55 Following clause subsumed by 38 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)).
% 0.36/0.55 Following clause subsumed by 39 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)).
% 0.36/0.55 Following clause subsumed by 44 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)).
% 0.36/0.55 Following clause subsumed by 45 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)).
% 0.36/0.55 Following clause subsumed by 46 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)).
% 0.36/0.55 Following clause subsumed by 47 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)).
% 0.36/0.55 Following clause subsumed by 52 during input processing: 0 [flip.1] {-} number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.36/0.55 Following clause subsumed by 53 during input processing: 0 [flip.1] {-} number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),pls)).
% 0.36/0.55 Following clause subsumed by 78 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)).
% 0.36/0.55 Following clause subsumed by 79 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)).
% 0.36/0.55 Following clause subsumed by 101 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)).
% 0.36/0.55 Following clause subsumed by 102 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)).
% 0.36/0.55 Following clause subsumed by 103 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)).
% 0.36/0.55 Following clause subsumed by 104 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)).
% 0.36/0.55 Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.36/0.55 Following clause subsumed by 174 during input processing: 0 [flip.1] {-} bit1(A)!=pls.
% 0.36/0.55 Following clause subsumed by 183 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)).
% 0.36/0.55 Following clause subsumed by 184 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)).
% 0.36/0.55 Following clause subsumed by 186 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)).
% 0.36/0.55 Following clause subsumed by 187 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)).
% 0.36/0.55 Following clause subsumed by 93 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)).
% 0.36/0.55 Following clause subsumed by 94 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)).
% 0.36/0.55 Following clause subsumed by 204 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)).
% 0.36/0.55 Following clause subsumed by 205 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)).
% 0.36/0.55 Following clause subsumed by 243 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)).
% 0.36/0.55 Following clause subsumed by 244 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.
% 0.36/0.55 Following clause subsumed by 245 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)).
% 0.36/0.55 Following clause subsumed by 192 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(plus_plus_int(zero_zero_int),A)=A.
% 0.36/0.55 Following clause subsumed by 191 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(plus_plus_int(A),zero_zero_int)=A.
% 0.36/0.55 Following clause subsumed by 278 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))!=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|A=C|B=D.
% 0.36/0.55 Following clause subsumed by 279 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|A!=C.
% 0.36/0.55 Following clause subsumed by 280 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),D)),hAPP_real_real(times_times_real(C),B))|B!=D.
% 0.36/0.55 Following clause subsumed by 281 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))!=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|A=C|B=D.
% 0.36/0.55 Following clause subsumed by 282 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|A!=C.
% 0.36/0.55 Following clause subsumed by 283 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),D)),hAPP_nat_nat(times_times_nat(C),B))|B!=D.
% 0.36/0.55 Following clause subsumed by 284 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))!=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|A=C|B=D.
% 0.36/0.55 Following clause subsumed by 285 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|A!=C.
% 0.36/0.55 Following clause subsumed by 286 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -is_int(C)| -is_int(D)|hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),D))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),D)),hAPP_int_int(times_times_int(C),B))|B!=D.
% 0.36/0.55 Following clause subsumed by 96 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(times_times_int(one_one_int),A)=A.
% 0.36/0.55 Following clause subsumed by 95 during input processing: 0 [] {-} -is_int(A)|hAPP_int_int(times_times_int(A),one_one_int)=A.
% 0.36/0.55 Following clause subsumed by 246 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)).
% 0.36/0.55 Following clause subsumed by 332 during input processing: 0 [flip.1] {-} pls!=min.
% 0.36/0.55 Following clause subsumed by 333 during input processing: 0 [flip.1] {-} bit0(A)!=min.
% 0.36/0.55 Following clause subsumed by 136 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)).
% 0.36/0.55 Following clause subsumed by 363 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(zcong(A,B),C))| -hBOOL(hAPP_int_bool(zcong(B,A),C)).
% 0.36/0.55 Following clause subsumed by 50 during input processing: 0 [] {-} -is_int(A)| -is_int(B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.36/0.55 Following clause subsumed by 369 during input processing: 0 [] {-} A=zero_zero_real|B=zero_zero_real|hAPP_real_real(times_times_real(A),B)!=zero_zero_real.
% 0.36/0.55 Following clause subsumed by 370 during input processing: 0 [] {-} A=zero_zero_nat|B=zero_zero_nat|hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat.
% 0.36/0.55 Following clause subsumed by 371 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|B=zero_zero_int|A=zero_zero_int|hAPP_int_int(times_times_int(B),A)!=zero_zero_int.
% 0.36/0.55 Following clause subsumed by 369 during input processing: 0 [] {-} hAPP_real_real(times_times_real(A),B)!=zero_zero_real|A=zero_zero_real|B=zero_zero_real.
% 0.36/0.55 Following clause subsumed by 371 during input processing: 0 [] {-} -is_int(A)| -is_int(B)|hAPP_int_int(times_times_int(A),B)!=zero_zero_int|A=zero_zero_int|B=zero_zero_int.
% 0.36/0.55 Following clause subsumed by 188 during input processing: 0 [] {-} zero_zero_int!=one_one_int.
% 0.36/0.55 Following clause subsumed by 376 during input processing: 0 [flip.1] {-} zero_zero_real!=one_one_real.
% 0.36/0.55 Following clause subsumed by 377 during input processing: 0 [flip.1] {-} zero_zero_nat!=one_one_nat.
% 0.36/0.55 Following clause subsumed by 188 during input processing: 0 [flip.1] {-} zero_zero_int!=one_one_int.
% 0.36/0.55 Following clause subsumed by 243 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))|B=zero_zero_nat.
% 0.36/0.55 Following clause subsumed by 245 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)).
% 0.36/0.55 Following clause subsumed by 244 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.
% 0.36/0.55 Following clause subsumed by 261 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 0.36/0.55 Following clause subsumed by 300 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.36/0.55 Following clause subsumed by 449 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 0.36/0.55 Following clause subsumed by 450 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.36/0.55 Following clause subsumed by 451 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.36/0.55 Following clause subsumed by 437 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.36/0.55 Following clause subsumed by 438 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.36/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.36/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.36/0.55 Following clause subsumed by 435 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.36/0.55 Following clause subsumed by 431 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(B),A)),zero_zero_real)).
% 0.36/0.55 Following clause subsumed by 433 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(B),A)),zero_zero_nat)).
% 0.36/0.55 Following clause subsumed by 435 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(B),A)),zero_zero_int)).
% 0.36/0.55 Following clause subsumed by 430 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),zero_zero_real)).
% 0.36/0.55 Following clause subsumed by 432 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),zero_zero_nat)).
% 0.36/0.55 Following clause subsumed by 434 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int)).
% 0.36/0.55 Following clause subsumed by 436 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.36/0.55 Following clause subsumed by 300 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B))).
% 0.36/0.55 Following clause subsumed by 430 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_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)).
% 0.36/0.56 Following clause subsumed by 431 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_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)).
% 0.36/0.56 Following clause subsumed by 434 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)).
% 0.36/0.56 Following clause subsumed by 435 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)).
% 0.36/0.56 Following clause subsumed by 436 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_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)).
% 0.36/0.56 Following clause subsumed by 437 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_real_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)).
% 0.36/0.56 Following clause subsumed by 300 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B)).
% 0.36/0.56 Following clause subsumed by 438 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(times_times_int(A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),zero_zero_int)).
% 0.36/0.56 Following clause subsumed by 143 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.36/0.56 Following clause subsumed by 476 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(C),A)),hAPP_real_real(times_times_real(C),B))).
% 0.36/0.56 Following clause subsumed by 477 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.36/0.56 Following clause subsumed by 143 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(C),A)),hAPP_int_int(times_times_int(C),B))).
% 0.36/0.56 Following clause subsumed by 472 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 0.36/0.56 Following clause subsumed by 473 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.36/0.56 Following clause subsumed by 299 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(times_times_int(A),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)).
% 0.36/0.56 Following clause subsumed by 483 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),A)),zero_zero_real)).
% 0.36/0.56 Following clause subsumed by 484 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(B),A)),zero_zero_nat)).
% 0.36/0.56 Following clause subsumed by 485 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(B),A)),zero_zero_int)).
% 0.36/0.56 Following clause subsumed by 476 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.36/0.56 Following clause subsumed by 143 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.36/0.56 Following clause subsumed by 476 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.36/0.56 Following clause subsumed by 472 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),B)).
% 0.36/0.56 Following clause subsumed by 143 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.36/0.56 Following clause subsumed by 473 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),B)).
% 0.36/0.56 Following clause subsumed by 478 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.36/0.56 Following clause subsumed by 474 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),A)).
% 0.36/0.56 Following clause subsumed by 480 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.36/0.56 Following clause subsumed by 475 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),A)).
% 0.36/0.56 Following clause subsumed by 302 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 0.36/0.56 Following clause subsumed by 245 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))).
% 0.36/0.56 Following clause subsumed by 251 during input processing: 0 [] {-} -is_int(A)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 0.36/0.56 Following clause subsumed by 378 during input processing: 0 [] {-} hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 0.36/0.56 Following clause subsumed by 379 during input processing: 0 [] {-} -is_int(A)|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 0.36/0.56 Following clause subsumed by 576 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)).
% 0.36/0.56 Following clause subsumed by 577 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)).
% 0.36/0.56 Following clause subsumed by 585 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.36/0.56 Following clause subsumed by 586 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.36/0.56 Following clause subsumed by 587 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 0.36/0.56 Following clause subsumed by 588 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 0.36/0.56 Following clause subsumed by 589 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 590 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 0.36/0.56 Following clause subsumed by 579 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.36/0.56 Following clause subsumed by 581 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,B),C)).
% 0.36/0.56 Following clause subsumed by 613 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.
% 0.36/0.56 Following clause subsumed by 617 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(hAPP_int_int(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)).
% 0.36/0.56 Following clause subsumed by 617 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(hAPP_int_int(times_times_int(B),C),zero_zero_int),A)).
% 0.36/0.56 Following clause subsumed by 578 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),hAPP_int_int(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)).
% 0.36/0.56 Following clause subsumed by 404 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(A),C)),hAPP_nat_nat(power_power_nat(B),C))).
% 0.36/0.56 Following clause subsumed by 649 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 564 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 563 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 565 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 652 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),B)=one_one_nat|B!=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 22 during input processing: 0 [] {-} hAPP_real_real(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.
% 0.36/0.56 Following clause subsumed by 23 during input processing: 0 [] {-} hAPP_real_real(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.
% 0.36/0.56 Following clause subsumed by 24 during input processing: 0 [] {-} hAPP_real_real(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.
% 0.36/0.56 Following clause subsumed by 376 during input processing: 0 [] {-} zero_zero_real!=one_one_real.
% 0.36/0.56 Following clause subsumed by 367 during input processing: 0 [] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,A),B))|A=B.
% 0.36/0.56 Following clause subsumed by 367 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.
% 0.36/0.56 Following clause subsumed by 675 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)).
% 0.36/0.56 Following clause subsumed by 678 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 0.36/0.56 Following clause subsumed by 680 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 0.36/0.56 Following clause subsumed by 679 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),A)).
% 0.36/0.56 Following clause subsumed by 646 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.
% 0.36/0.56 Following clause subsumed by 647 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.
% 0.36/0.56 Following clause subsumed by 647 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.
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 361 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)).
% 0.36/0.56 Following clause subsumed by 361 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 645 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)).
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 646 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.
% 0.36/0.56 Following clause subsumed by 646 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 0.36/0.56 Following clause subsumed by 645 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)).
% 0.36/0.56 Following clause subsumed by 647 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.
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 645 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.
% 0.36/0.56 Following clause subsumed by 646 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|A!=B.
% 0.36/0.56 Following clause subsumed by 646 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)).
% 0.36/0.56 Following clause subsumed by 647 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),A)).
% 0.36/0.56 Following clause subsumed by 645 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)).
% 0.36/0.56 Following clause subsumed by 671 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.36/0.56 Following clause subsumed by 680 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.36/0.56 Following clause subsumed by 671 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 0.36/0.56 Following clause subsumed by 271 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 696 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 715 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(minus_minus_nat(A),B)=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 370 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=zero_zero_nat|A=zero_zero_nat|B=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 651 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=zero_zero_nat|A!=zero_zero_nat.
% 0.36/0.56 Following clause subsumed by 679 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 0.36/0.56 Following clause subsumed by 368 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.
% 0.36/0.56 Following clause subsumed by 368 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.
% 0.36/0.56 Following clause subsumed by 739 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)).
% 0.36/0.56 Following clause subsumed by 696 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A!=B.
% 0.36/0.56 Following clause subsumed by 739 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)).
% 0.36/0.56 Following clause subsumed by 368 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 0.36/0.56 Following clause subsumed by 739 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)).
% 0.36/0.56 Following clause subsumed by 696 during input processing: 0 [] {-} A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B)).
% 0.36/0.56 Following clause subsumed by 740 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,hAPP_nat_nat(minus_minus_nat(B),A)),hAPP_nat_nat(minus_minus_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.36/0.56 Following clause subsumed by 756 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.36/0.56 Following clause subsumed by 755 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.36/0.56 Following clause subsumed by 763 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|hAPP_nat_nat(minus_minus_nat(hAPP_nat_nat(plus_plus_nat(C),B)),A)=hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(minus_minus_nat(B),A)).
% 0.36/0.56 Following clause subsumed by 646 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A!=one_one_nat.
% 0.36/0.56 Following clause subsumed by 656 during input processing: 0 [flip.1] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 0.36/0.56 Following clause subsumed by 657 during input processing: 0 [flip.1] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 0.36/0.56 Following clause subsumed by 658 during input processing: 0 [flip.1] {-} hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.36/0.56 Following clause subsumed by 656 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|A=one_one_nat.
% 0.36/0.56 Following clause subsumed by 657 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=one_one_nat|B=one_one_nat.
% 0.36/0.56 Following clause subsumed by 658 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=one_one_nat|A!=one_one_nat|B!=one_one_nat.
% 0.36/0.56 Following clause subsumed by 731 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.36/0.57 Following clause subsumed by 732 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.36/0.57 Following clause subsumed by 777 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(A,zero_zero_nat)).
% 0.36/0.57 Following clause subsumed by 778 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(minus_minus_nat(B),C)))|B!=hAPP_nat_nat(plus_plus_nat(C),D)|hBOOL(hAPP_nat_bool(A,D)).
% 0.36/0.57 Following clause subsumed by 497 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(times_times_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 0.36/0.57 Following clause subsumed by 477 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 479 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 0.36/0.57 Following clause subsumed by 479 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C))).
% 0.36/0.57 Following clause subsumed by 477 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(C),A)),hAPP_nat_nat(times_times_nat(C),B))).
% 0.36/0.57 Following clause subsumed by 582 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.36/0.57 Following clause subsumed by 579 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.36/0.57 Following clause subsumed by 607 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,B),C)).
% 0.36/0.57 Following clause subsumed by 476 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(A),B)),hAPP_real_real(times_times_real(A),C))).
% 0.36/0.57 Following clause subsumed by 496 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(times_times_real(A),B))).
% 0.36/0.57 Following clause subsumed by 478 during input processing: 0 [] {-} -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(times_times_real(B),A)),hAPP_real_real(times_times_real(C),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 0.36/0.57 Following clause subsumed by 137 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))!=zero_zero_real|A=zero_zero_real.
% 0.36/0.57 Following clause subsumed by 138 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))!=zero_zero_real|B=zero_zero_real.
% 0.36/0.57 Following clause subsumed by 139 during input processing: 0 [] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),A)),hAPP_real_real(times_times_real(B),B))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 0.36/0.57 Following clause subsumed by 580 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 773 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 583 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.36/0.57 Following clause subsumed by 772 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),C)).
% 0.36/0.57 Following clause subsumed by 717 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|A=zero_zero_nat|B=C.
% 0.36/0.57 Following clause subsumed by 719 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|A!=zero_zero_nat.
% 0.36/0.57 Following clause subsumed by 718 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 0.36/0.57 Following clause subsumed by 790 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 477 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 718 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(A),C)|B!=C.
% 0.36/0.57 Following clause subsumed by 650 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 798 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 650 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 580 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 773 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(times_times_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,B),C)).
% 0.36/0.57 Following clause subsumed by 539 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C))).
% 0.36/0.57 Following clause subsumed by 251 during input processing: 0 [] {-} -is_int(A)|A=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(A),C))).
% 0.36/0.57 Following clause subsumed by 631 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,A),hAPP_int_int(minus_minus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 0.36/0.57 Following clause subsumed by 424 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zcong(A,hAPP_int_int(times_times_int(B),multInv(C,D))),C))|hBOOL(hAPP_int_bool(zcong(hAPP_int_int(times_times_int(A),D),hAPP_int_int(times_times_int(hAPP_int_int(times_times_int(B),multInv(C,D))),D)),C)).
% 0.36/0.57 Following clause subsumed by 405 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(B),A)),hAPP_nat_int(power_power_int(C),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C)).
% 0.36/0.57 Following clause subsumed by 907 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(C),B)))|B=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C)).
% 0.36/0.57 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A=zero_zero_nat.
% 0.36/0.57 Following clause subsumed by 380 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A=zero_zero_nat.
% 0.36/0.57 Following clause subsumed by 647 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))|A!=zero_zero_nat.
% 0.36/0.57 Following clause subsumed by 380 during input processing: 0 [] {-} A=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)).
% 0.36/0.57 Following clause subsumed by 647 during input processing: 0 [] {-} A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A)).
% 0.36/0.57 Following clause subsumed by 771 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A=one_one_nat.
% 0.36/0.57 Following clause subsumed by 771 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A=one_one_nat.
% 0.51/0.70 Following clause subsumed by 646 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))|A!=one_one_nat.
% 0.51/0.70 Following clause subsumed by 771 during input processing: 0 [] {-} A=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)).
% 0.51/0.70 Following clause subsumed by 646 during input processing: 0 [] {-} A!=one_one_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat)).
% 0.51/0.70 Following clause subsumed by 660 during input processing: 0 [] {-} A=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(B),A)),hAPP_nat_nat(power_power_nat(C),A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.51/0.70 Following clause subsumed by 404 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(power_power_nat(B),A)),hAPP_nat_nat(power_power_nat(C),A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C)).
% 0.51/0.70 Following clause subsumed by 653 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,A),B))|B=zero_zero_nat.
% 0.51/0.70 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hAPP_nat_nat(times_times_nat(A),B)!=hAPP_nat_nat(times_times_nat(A),C)|B=C.
% 0.51/0.70 Following clause subsumed by 917 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(zcong(B,C),A))|hAPP_int_int(div_mod_int(B),A)!=hAPP_int_int(div_mod_int(C),A).
% 0.51/0.70 Following clause subsumed by 934 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,zero_zero_int),hAPP_int_int(div_mod_int(B),A))).
% 0.51/0.70 Following clause subsumed by 928 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(B),A)),A)).
% 0.51/0.70 Following clause subsumed by 936 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,hAPP_int_int(div_mod_int(B),A)),zero_zero_int)).
% 0.51/0.70 Following clause subsumed by 929 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(div_mod_int(B),A))).
% 0.51/0.70 Following clause subsumed by 1082 during input processing: 0 [] {-} -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(div_mod_nat(A),B)=A.
% 0.51/0.70 Following clause subsumed by 1089 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|standardRes(B,A)!=zero_zero_int.
% 0.51/0.70 Following clause subsumed by 1090 during input processing: 0 [] {-} -hBOOL(hAPP_int_bool(zcong(A,zero_zero_int),B))|standardRes(B,A)=zero_zero_int.
% 0.51/0.70 Following clause subsumed by 176 during input processing: 0 [copy,175,flip.1] {-} bit0(A)!=bit1(B).
% 0.51/0.70 Following clause subsumed by 175 during input processing: 0 [copy,176,flip.1] {-} bit1(A)!=bit0(B).
% 0.51/0.70 290 back subsumes 33.
% 0.51/0.70 296 back subsumes 35.
% 0.51/0.70 358 back subsumes 169.
% 0.51/0.70 360 back subsumes 354.
% 0.51/0.70 378 back subsumes 290.
% 0.51/0.70 379 back subsumes 296.
% 0.51/0.70 561 back subsumes 291.
% 0.51/0.70 562 back subsumes 292.
% 0.51/0.70 563 back subsumes 293.
% 0.51/0.70 564 back subsumes 294.
% 0.51/0.70 565 back subsumes 295.
% 0.51/0.70 566 back subsumes 297.
% 0.51/0.70 567 back subsumes 298.
% 0.51/0.70 652 back subsumes 304.
% 0.51/0.70 671 back subsumes 526.
% 0.51/0.70 671 back subsumes 494.
% 0.51/0.70 671 back subsumes 484.
% 0.51/0.70 688 back subsumes 686.
% 0.51/0.70 688 back subsumes 683.
% 0.51/0.70 689 back subsumes 685.
% 0.51/0.70 689 back subsumes 684.
% 0.51/0.70 703 back subsumes 698.
% 0.51/0.70 732 back subsumes 520.
% 0.51/0.70 772 back subsumes 453.
% 0.51/0.70 773 back subsumes 450.
% 0.51/0.70 774 back subsumes 443.
% 0.51/0.70 774 back subsumes 440.
% 0.51/0.70 787 back subsumes 489.
% 0.51/0.70 788 back subsumes 492.
% 0.51/0.70 790 back subsumes 586.
% 0.51/0.70 792 back subsumes 589.
% 0.59/0.78 1208 back subsumes 1152.
% 0.59/0.78 1220 back subsumes 1117.
% 0.59/0.78 1243 back subsumes 1233.
% 0.59/0.78 1246 back subsumes 1238.
% 0.59/0.78 1282 back subsumes 1201.
% 0.59/0.78 1282 back subsumes 1197.
% 0.59/0.78 1282 back subsumes 1195.
% 0.59/0.78 1282 back subsumes 1156.
% 0.59/0.78
% 0.59/0.78 ------------> process sos:
% 0.59/0.78 Following clause subsumed by 1649 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.59/0.78 Following clause subsumed by 1652 during input processing: 0 [] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(times_times_int(A),B)).
% 0.59/0.78 Following clause subsumed by 1680 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_int(C))=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),number_number_of_int(C))),hAPP_int_int(times_times_int(B),number_number_of_int(C))).
% 0.59/0.78 Following clause subsumed by 1743 during input processing: 0 [] {-} hAPP_real_real(times_times_real(number267125858f_real(bit0(bit1(pls)))),A)=hAPP_real_real(plus_plus_real(A),A).
% 0.59/0.78 Following clause subsumed by 1746 during input processing: 0 [demod,1730] {-} hAPP_int_int(times_times_int(number_number_of_int(bit0(bit1(pls)))),A)=bit0(A).
% 0.59/0.78 Following clause subsumed by 1673 during input processing: 0 [demod,1671] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.78 Following clause subsumed by 1770 during input processing: 0 [demod,1707,1726,1726] {-} pls=pls.
% 0.59/0.78 Following clause subsumed by 1772 during input processing: 0 [demod,1768] {-} zero_zero_real=zero_zero_real.
% 0.59/0.78 Following clause subsumed by 1770 during input processing: 0 [demod,1726,1707,1726] {-} pls=pls.
% 0.59/0.78 Following clause subsumed by 1679 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(plus_plus_int(A),B)).
% 0.59/0.78 Following clause subsumed by 1689 during input processing: 0 [demod,1687] {-} one_one_nat=one_one_nat.
% 0.59/0.78 Following clause subsumed by 1817 during input processing: 0 [demod,1720] {-} one_one_int=one_one_int.
% 0.59/0.78 Following clause subsumed by 1819 during input processing: 0 [demod,1815] {-} one_one_real=one_one_real.
% 0.59/0.78 Following clause subsumed by 1817 during input processing: 0 [demod,1720] {-} one_one_int=one_one_int.
% 0.59/0.78 Following clause subsumed by 1757 during input processing: 0 [demod,1730,1826] {-} bit0(one_one_int)=bit0(one_one_int).
% 0.59/0.78 Following clause subsumed by 1869 during input processing: 0 [] {-} hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A),B)),C)=hAPP_nat_int(power_power_int(A),hAPP_nat_nat(times_times_nat(B),C)).
% 0.59/0.78 Following clause subsumed by 1895 during input processing: 0 [demod,1654] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(times_times_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1650 during input processing: 0 [] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(B),A).
% 0.59/0.78 Following clause subsumed by 1704 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 0.59/0.78 Following clause subsumed by 1703 during input processing: 0 [] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 0.59/0.78 Following clause subsumed by 1916 during input processing: 0 [demod,1702] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1906 during input processing: 0 [demod,1750] {-} hAPP_nat_nat(plus_plus_nat(A),A)=hAPP_nat_nat(plus_plus_nat(A),A).
% 0.59/0.78 Following clause subsumed by 1744 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),A)=hAPP_nat_nat(plus_plus_nat(A),A).
% 0.59/0.78 Following clause subsumed by 1844 during input processing: 0 [] {-} hAPP_nat_real(power_power_real(A),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),B))=hAPP_nat_real(power_power_real(hAPP_nat_real(power_power_real(A),B)),number_number_of_nat(bit0(bit1(pls)))).
% 0.59/0.78 Following clause subsumed by 1846 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(A),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),B))=hAPP_nat_nat(power_power_nat(hAPP_nat_nat(power_power_nat(A),B)),number_number_of_nat(bit0(bit1(pls)))).
% 0.59/0.78 Following clause subsumed by 1848 during input processing: 0 [] {-} hAPP_nat_int(power_power_int(A),hAPP_nat_nat(times_times_nat(number_number_of_nat(bit0(bit1(pls)))),B))=hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A),B)),number_number_of_nat(bit0(bit1(pls)))).
% 0.59/0.78 Following clause subsumed by 1770 during input processing: 0 [demod,1726,1677,1726] {-} pls=pls.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1778] {-} A=A.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1683] {-} hAPP_int_int(times_times_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(times_times_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1680 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1649 during input processing: 0 [demod,1726,1726] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.59/0.78 Following clause subsumed by 1649 during input processing: 0 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,min),min)).
% 0.59/0.78 Following clause subsumed by 2027 during input processing: 0 [demod,1726] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1945] {-} zero_zero_real=zero_zero_real.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1947] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1726,1950,1726] {-} pls=pls.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1941] {-} zero_zero_real=zero_zero_real.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1943] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.78 Following clause subsumed by 1952 during input processing: 0 [demod,1726,1677,1726] {-} pls=pls.
% 0.59/0.78 Following clause subsumed by 1963 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.59/0.78 Following clause subsumed by 1964 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.59/0.78 Following clause subsumed by 1680 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),C)),hAPP_int_int(times_times_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1976 during input processing: 0 [] {-} hAPP_nat_real(power_power_real(hAPP_real_real(times_times_real(A),B)),C)=hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(A),C)),hAPP_nat_real(power_power_real(B),C)).
% 0.59/0.78 Following clause subsumed by 1977 during input processing: 0 [] {-} hAPP_nat_nat(power_power_nat(hAPP_nat_nat(times_times_nat(A),B)),C)=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(A),C)),hAPP_nat_nat(power_power_nat(B),C)).
% 0.59/0.78 Following clause subsumed by 1978 during input processing: 0 [] {-} hAPP_nat_int(power_power_int(hAPP_int_int(times_times_int(A),B)),C)=hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A),C)),hAPP_nat_int(power_power_int(B),C)).
% 0.59/0.78 Following clause subsumed by 1903 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_nat_real(power_power_real(A),B)),A)=hAPP_real_real(times_times_real(A),hAPP_nat_real(power_power_real(A),B)).
% 0.59/0.79 Following clause subsumed by 1904 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(power_power_nat(A),B)),A)=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(power_power_nat(A),B)).
% 0.59/0.79 Following clause subsumed by 1650 during input processing: 0 [] {-} hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A),B)),A)=hAPP_int_int(times_times_int(A),hAPP_nat_int(power_power_int(A),B)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1934] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1936] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1708 during input processing: 0 [demod,1760] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_eq_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))))).
% 0.59/0.79 Following clause subsumed by 2006 during input processing: 0 [demod,1726] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),one_one_int)).
% 0.59/0.79 Following clause subsumed by 1791 during input processing: 0 [demod,1726] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),one_one_int)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1985] {-} one_one_real=one_one_real.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1987] {-} one_one_nat=one_one_nat.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1989] {-} one_one_int=one_one_int.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1980] {-} hAPP_nat_real(power_power_real(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_real(power_power_real(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1982] {-} hAPP_nat_nat(power_power_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(power_power_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 1655 during input processing: 0 [] {-} hAPP_nat_int(power_power_int(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)).
% 0.59/0.79 Following clause subsumed by 2016 during input processing: 0 [demod,1675] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 0.59/0.79 Following clause subsumed by 1620 during input processing: 0 [demod,1760] {-} hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))))|A=zero_zero_real.
% 0.59/0.79 Following clause subsumed by 2030 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),A)).
% 0.59/0.79 Following clause subsumed by 2129 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)).
% 0.59/0.79 Following clause subsumed by 2129 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)).
% 0.59/0.79 Following clause subsumed by 1906 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 0.59/0.79 Following clause subsumed by 1908 during input processing: 0 [] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1914] {-} hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1891] {-} hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C))=hAPP_real_real(times_times_real(A),hAPP_real_real(times_times_real(B),C)).
% 0.59/0.79 Following clause subsumed by 1903 during input processing: 0 [] {-} hAPP_real_real(times_times_real(A),B)=hAPP_real_real(times_times_real(B),A).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1969] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1904 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(A),B)=hAPP_nat_nat(times_times_nat(B),A).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1893] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(times_times_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 2146 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1954] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1956] {-} A=A.
% 0.59/0.79 Following clause subsumed by 2121 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_eq_nat,zero_zero_nat),A)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1943] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1947] {-} zero_zero_nat=zero_zero_nat.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1962] {-} hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(times_times_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 1964 during input processing: 0 [] {-} hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),C)),hAPP_nat_nat(times_times_nat(B),C)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1971] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,1975] {-} A=A.
% 0.59/0.79 Following clause subsumed by 1963 during input processing: 0 [] {-} hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),C)),hAPP_real_real(times_times_real(B),C)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,2038] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),D))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),B)),hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(C),B)),D)).
% 0.59/0.79 Following clause subsumed by 1649 during input processing: 0 [demod,1726,1707,1726] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,pls),pls)).
% 0.59/0.79 Following clause subsumed by 2017 during input processing: 0 [] {-} A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)).
% 0.59/0.79 Following clause subsumed by 2017 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat)).
% 0.59/0.79 Following clause subsumed by 2054 during input processing: 0 [] {-} A=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)).
% 0.59/0.79 Following clause subsumed by 2054 during input processing: 0 [] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A)).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [demod,2181] {-} hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),B)),C)=hAPP_int_int(div_mod_int(hAPP_int_int(times_times_int(A),B)),C).
% 0.59/0.79 Following clause subsumed by 2210 during input processing: 0 [flip.2] {-} hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(minus_minus_nat(A),B)),B)=hAPP_nat_nat(div_mod_nat(A),B).
% 0.59/0.79 Following clause subsumed by 1952 during input processing: 0 [] {-} A=A.
% 0.59/0.79 1649 back subsumes 1393.
% 0.59/0.79 1649 back subsumes 1392.
% 0.59/0.79 1649 back subsumes 1391.
% 0.59/0.79 1649 back subsumes 1390.
% 0.59/0.79 1649 back subsumes 1315.
% 0.59/0.79 1649 back subsumes 1306.
% 0.59/0.79 1649 back subsumes 1269.
% 0.59/0.79 1649 back subsumes 1268.
% 0.59/0.79 1649 back subsumes 1265.
% 0.59/0.79 1649 back subsumes 1262.
% 0.59/0.79 1649 back subsumes 1220.
% 0.59/0.79 Following clause subsumed by 1650 during input processing: 0 [copy,1650,flip.1] {-} hAPP_int_int(times_times_int(A),B)=hAPP_int_int(times_times_int(B),A).
% 0.59/0.79 1651 back subsumes 471.
% 0.59/0.79 1651 back subsumes 468.
% 0.59/0.79 1651 back subsumes 463.
% 0.59/0.79 1651 back subsumes 460.
% 0.59/0.79 1651 back subsumes 417.
% 0.66/0.86 Following clause subsumed by 1664 during input processing: 0 [copy,1652,flip.1] {-} number_number_of_int(hAPP_int_int(times_times_int(A),B)
% 0.66/0.86 -------- PROOF --------
% 0.66/0.86 % SZS status Theorem
% 0.66/0.86 % SZS output start Refutation
% 0.66/0.86 )=hAPP_int_int(times_times_int(number_number_of_int(A)),number_number_of_int(B)).
% 0.66/0.86 1652 back subsumes 1121.
% 0.66/0.86 1652 back subsumes 56.
% 0.66/0.86 Following clause subsumed by 1983 during input processing: 0 [copy,1655,flip.1] {-} hAPP_int_int(times_times_int(hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C))=hAPP_nat_int(power_power_int(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 0.66/0.86 Following clause subsumed by 1663 during input processing: 0 [copy,1662,flip.1] {-} number267125858f_real(hAPP_int_int(times_times_int(A),B))=hAPP_real_real(times_times_real(number267125858f_real(A)),number267125858f_real(B)).
% 0.66/0.86 1662 back subsumes 1119.
% 0.66/0.86 1662 back subsumes 54.
% 0.66/0.86 Following clause subsumed by 1662 during input processing: 0 [copy,1663,flip.1] {-} hAPP_real_real(times_times_real(number267125858f_real(A)),number267125858f_real(B))=number267125858f_real(hAPP_int_int(times_times_int(A),B)).
% 0.66/0.86 Following clause subsumed by 1652 during input processing: 0 [copy,1664,flip.1] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(times_times_int(A),B)).
% 0.66/0.86 Following clause subsumed by 1952 during input processing: 0 [copy,1673,flip.1] {-} zero_zero_nat=zero_zero_nat.
% 0.66/0.86 Following clause subsumed by 1787 during input processing: 0 [copy,1679,flip.1] {-} number_number_of_int(hAPP_int_int(plus_plus_int(A),B))=hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B)).
% 0.66/0.86 1679 back subsumes 1128.
% 0.66/0.86 1679 back subsumes 118.
% 0.66/0.86 Following clause subsumed by 1967 during input processing: 0 [copy,1680,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(A),B)),hAPP_int_int(times_times_int(C),B))=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(A),C)),B).
% 0.66/0.86 Following clause subsumed by 1952 during input processing: 0 [copy,1689,flip.1] {-} one_one_nat=one_one_nat.
% 0.66/0.86 Following clause subsumed by 1965 during input processing: 0 [copy,1691,flip.1] {-} hAPP_real_real(plus_plus_real(hAPP_real_real(times_times_real(A),number267125858f_real(B))),hAPP_real_real(times_times_real(C),number267125858f_real(B)))=hAPP_real_real(times_times_real(hAPP_real_real(plus_plus_real(A),C)),number267125858f_real(B)).
% 0.66/0.86 Following clause subsumed by 1966 during input processing: 0 [copy,1692,flip.1] {-} hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(times_times_nat(A),number_number_of_nat(B))),hAPP_nat_nat(times_times_nat(C),number_number_of_nat(B)))=hAPP_nat_nat(times_times_nat(hAPP_nat_nat(plus_plus_nat(A),C)),number_number_of_nat(B)).
% 0.66/0.86 Following clause subsumed by 1952 during input processing: 0 [copy,1700,flip.1] {-} hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(times_times_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(B),C)).
% 0.66/0.86 Following clause subsumed by 1703 during input processing: 0 [copy,1703,flip.1] {-} hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 0.66/0.86 Following clause subsumed by 1704 during input processing: 0 [copy,1704,flip.1] {-} hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 0.66/0.86
% 0.66/0.86 ----> UNIT CONFLICT at 0.39 sec ----> 2434 [binary,2433.1,2220.1] {-} $F.
% 0.66/0.86
% 0.66/0.86 Length of proof is 6. Level of proof is 3.
% 0.66/0.86
% 0.66/0.86 ---------------- PROOF ----------------
% 0.66/0.86 % SZS status Theorem
% 0.66/0.86 % SZS output start Refutation
% 0.66/0.86
% 0.66/0.86 1105 [] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)),zero_zero_int)).
% 0.66/0.86 1613 [] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)),hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),zero_zero_int))).
% 0.66/0.86 1614 [] {-} hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)=hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t).
% 0.66/0.86 1616,1615 [copy,1614,flip.1] {-} hAPP_int_int(times_times_int(hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int)),t)=hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int).
% 0.66/0.86 1724 [] {-} pls=zero_zero_int.
% 0.66/0.86 1726,1725 [copy,1724,flip.1] {-} zero_zero_int=pls.
% 0.66/0.86 1948 [] {-} hAPP_int_int(times_times_int(A),zero_zero_int)=zero_zero_int.
% 0.66/0.86 1950,1949 [copy,1948,demod,1726,1726] {-} hAPP_int_int(times_times_int(A),pls)=pls.
% 0.66/0.86 2084 [] {-} hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min))=hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int).
% 0.66/0.86 2086,2085 [copy,2084,flip.1] {-} hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),one_one_int)=hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min)).
% 0.66/0.86 2220 [back_demod,1613,demod,1616,2086,1726,1950] {-} hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min))),pls)).
% 0.66/0.86 2433 [back_demod,1105,demod,2086,1726] {-} -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(minus_minus_int(hAPP_nat_int(power_power_int(s),number_number_of_nat(bit0(bit1(pls))))),number_number_of_int(min))),pls)).
% 0.66/0.86 2434 [binary,2433.1,2220.1] {-} $F.
% 0.66/0.86
% 0.66/0.86 % SZS output end Refutation
% 0.66/0.86 ------------ end of proof -------------
% 0.66/0.86
% 0.66/0.86
% 0.66/0.86 Search stopped by max_proofs option.
% 0.66/0.86
% 0.66/0.86
% 0.66/0.86 Search stopped by max_proofs option.
% 0.66/0.86
% 0.66/0.86 ============ end of search ============
% 0.66/0.86
% 0.66/0.86 That finishes the proof of the theorem.
% 0.66/0.86
% 0.66/0.86 Process 32120 finished Tue Jul 5 22:22:37 2022
%------------------------------------------------------------------------------