TSTP Solution File: NUM924+7 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n026.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 14:23:11 EDT 2022
% Result : Unknown 0.67s 0.87s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM924+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : sos-script %s
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 5 15:35:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/0.57 ----- Otter 3.2, August 2001 -----
% 0.37/0.57 The process was started by sandbox on n026.cluster.edu,
% 0.37/0.57 Tue Jul 5 15:35:23 2022
% 0.37/0.57 The command was "./sos". The process ID is 24098.
% 0.37/0.57
% 0.37/0.57 set(prolog_style_variables).
% 0.37/0.57 set(auto).
% 0.37/0.57 dependent: set(auto1).
% 0.37/0.57 dependent: set(process_input).
% 0.37/0.57 dependent: clear(print_kept).
% 0.37/0.57 dependent: clear(print_new_demod).
% 0.37/0.57 dependent: clear(print_back_demod).
% 0.37/0.57 dependent: clear(print_back_sub).
% 0.37/0.57 dependent: set(control_memory).
% 0.37/0.57 dependent: assign(max_mem, 12000).
% 0.37/0.57 dependent: assign(pick_given_ratio, 4).
% 0.37/0.57 dependent: assign(stats_level, 1).
% 0.37/0.57 dependent: assign(pick_semantic_ratio, 3).
% 0.37/0.57 dependent: assign(sos_limit, 5000).
% 0.37/0.57 dependent: assign(max_weight, 60).
% 0.37/0.57 clear(print_given).
% 0.37/0.57
% 0.37/0.57 formula_list(usable).
% 0.37/0.57
% 0.37/0.57 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.37/0.57
% 0.37/0.57 This ia a non-Horn set with equality. The strategy will be
% 0.37/0.57 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.37/0.57 unit deletion, with positive clauses in sos and nonpositive
% 0.37/0.57 clauses in usable.
% 0.37/0.57
% 0.37/0.57 dependent: set(knuth_bendix).
% 0.37/0.57 dependent: set(para_from).
% 0.37/0.57 dependent: set(para_into).
% 0.37/0.57 dependent: clear(para_from_right).
% 0.37/0.57 dependent: clear(para_into_right).
% 0.37/0.57 dependent: set(para_from_vars).
% 0.37/0.57 dependent: set(eq_units_both_ways).
% 0.37/0.57 dependent: set(dynamic_demod_all).
% 0.37/0.57 dependent: set(dynamic_demod).
% 0.37/0.57 dependent: set(order_eq).
% 0.37/0.57 dependent: set(back_demod).
% 0.37/0.57 dependent: set(lrpo).
% 0.37/0.57 dependent: set(hyper_res).
% 0.37/0.57 dependent: set(unit_deletion).
% 0.37/0.57 dependent: set(factor).
% 0.37/0.57
% 0.37/0.57 ------------> process usable:
% 0.37/0.57 Following clause subsumed by 61 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(A)),bit1(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 62 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(A)),bit1(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 63 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit0(A)),bit0(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 64 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit0(A)),bit0(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 92 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit0(A)),bit1(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 93 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit0(A)),bit1(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 109 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(A)),bit0(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.57 Following clause subsumed by 110 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),bit1(A)),bit0(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.57 Following clause subsumed by 111 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit0(A)),bit1(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 112 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit0(A)),bit1(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),B)).
% 0.37/0.57 Following clause subsumed by 120 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,plus_plus(int,A),one_one(int))),B))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.57 Following clause subsumed by 162 during input processing: 0 [flip.1] {-} bit1(A)!=pls.
% 0.37/0.58 Following clause subsumed by 165 during input processing: 0 [flip.1,flip.2] {-} bit0(A)!=pls|ti(int,A)=pls.
% 0.37/0.58 Following clause subsumed by 166 during input processing: 0 [flip.1,flip.2] {-} bit0(A)=pls|ti(int,A)!=pls.
% 0.37/0.58 Following clause subsumed by 167 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(A)),bit1(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 168 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(A)),bit1(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 170 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit0(A)),bit0(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 171 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit0(A)),bit0(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 186 during input processing: 0 [] {-} -number_ring(A)|zero_zero(A)=number_number_of(A,pls).
% 0.37/0.58 Following clause subsumed by 199 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(A)),bit0(B)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 200 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),bit1(A)),bit0(B)))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.58 Following clause subsumed by 180 during input processing: 0 [] {-} -monoid_mult(A)| -number(A)|hAPP(nat,A,power_power(A,number_number_of(A,B)),number_number_of(nat,bit0(bit1(pls))))=hAPP(A,A,times_times(A,number_number_of(A,B)),number_number_of(A,B)).
% 0.37/0.58 Following clause subsumed by 220 during input processing: 0 [] {-} -number_ring(A)|one_one(A)=number_number_of(A,bit1(pls)).
% 0.37/0.58 Following clause subsumed by 264 during input processing: 0 [flip.2] {-} -comm_semiring_1(A)|hAPP(A,A,times_times(A,hAPP(A,A,times_times(A,B),C)),D)=hAPP(A,A,times_times(A,B),hAPP(A,A,times_times(A,C),D)).
% 0.37/0.58 Following clause subsumed by 270 during input processing: 0 [] {-} -comm_semiring_1(A)|hAPP(A,A,plus_plus(A,hAPP(A,A,plus_plus(A,B),C)),D)=hAPP(A,A,plus_plus(A,B),hAPP(A,A,plus_plus(A,C),D)).
% 0.37/0.58 Following clause subsumed by 241 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.58 Following clause subsumed by 242 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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).
% 0.37/0.58 Following clause subsumed by 243 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,A),number_number_of(nat,B))))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.58 Following clause subsumed by 286 during input processing: 0 [] {-} -semiri456707255roduct(A)|hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,D),E))!=hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),E)),hAPP(A,A,times_times(A,D),C))|ti(A,B)=ti(A,D)|ti(A,C)=ti(A,E).
% 0.37/0.58 Following clause subsumed by 287 during input processing: 0 [] {-} -semiri456707255roduct(A)|hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,D),E))=hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),E)),hAPP(A,A,times_times(A,D),C))|ti(A,B)!=ti(A,D).
% 0.37/0.58 Following clause subsumed by 288 during input processing: 0 [] {-} -semiri456707255roduct(A)|hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,D),E))=hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),E)),hAPP(A,A,times_times(A,D),C))|ti(A,C)!=ti(A,E).
% 0.37/0.58 Following clause subsumed by 244 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,zprime,A))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),A),hAPP(nat,int,power_power(int,B),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),C))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),A),B)).
% 0.37/0.58 Following clause subsumed by 327 during input processing: 0 [flip.1,flip.2] {-} bit1(A)!=min|ti(int,A)=min.
% 0.37/0.58 Following clause subsumed by 328 during input processing: 0 [flip.1,flip.2] {-} bit1(A)=min|ti(int,A)!=min.
% 0.37/0.58 Following clause subsumed by 329 during input processing: 0 [flip.1] {-} pls!=min.
% 0.37/0.58 Following clause subsumed by 330 during input processing: 0 [flip.1] {-} bit0(A)!=min.
% 0.37/0.58 Following clause subsumed by 351 during input processing: 0 [] {-} hAPP(int,int,times_times(int,A),B)!=one_one(int)|ti(int,A)=one_one(int)|ti(int,A)=number_number_of(int,min).
% 0.37/0.58 Following clause subsumed by 360 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,zcong(A,B),C))| -hBOOL(hAPP(int,bool,zcong(B,A),C)).
% 0.37/0.58 Following clause subsumed by 365 during input processing: 0 [] {-} -no_zero_divisors(A)|ti(A,B)=zero_zero(A)|ti(A,C)=zero_zero(A)|hAPP(A,A,times_times(A,B),C)!=zero_zero(A).
% 0.37/0.58 Following clause subsumed by 371 during input processing: 0 [flip.2] {-} -zero_neq_one(A)|zero_zero(A)!=one_one(A).
% 0.37/0.58 Following clause subsumed by 241 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,A),B)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|B=zero_zero(nat).
% 0.37/0.58 Following clause subsumed by 243 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,A),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.58 Following clause subsumed by 242 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,power_power(nat,A),B)))|B!=zero_zero(nat).
% 0.37/0.58 Following clause subsumed by 414 during input processing: 0 [] {-} -ordered_ring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),hAPP(A,A,times_times(A,B),C))).
% 0.37/0.58 Following clause subsumed by 412 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,times_times(A,B),C)),zero_zero(A))).
% 0.37/0.58 Following clause subsumed by 412 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,times_times(A,C),B)),zero_zero(A))).
% 0.37/0.58 Following clause subsumed by 411 during input processing: 0 [] {-} -ordere453448008miring(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,times_times(A,B),C)),zero_zero(A))).
% 0.37/0.58 Following clause subsumed by 436 during input processing: 0 [] {-} -linord581940658strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),C)).
% 0.37/0.58 Following clause subsumed by 442 during input processing: 0 [] {-} -linord20386208strict(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),zero_zero(A)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,times_times(A,C),B)),zero_zero(A))).
% 0.37/0.59 Following clause subsumed by 449 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),zero_zero(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.37/0.59 Following clause subsumed by 436 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,B),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),C)).
% 0.37/0.59 Following clause subsumed by 437 during input processing: 0 [] {-} -linord581940658strict(A)|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,D),C)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),zero_zero(A)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),D),B)).
% 0.37/0.59 Following clause subsumed by 491 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,zcong(A,zero_zero(int)),B))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),A)).
% 0.37/0.59 Following clause subsumed by 492 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,zcong(A,zero_zero(int)),B))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),A)).
% 0.37/0.59 Following clause subsumed by 513 during input processing: 0 [] {-} -linordered_semidom(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),one_one(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(nat,A,power_power(A,B),C)),hAPP(nat,A,power_power(A,B),D)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),C),D)).
% 0.37/0.59 Following clause subsumed by 520 during input processing: 0 [] {-} -linordered_semidom(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),one_one(A)),B))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(nat,A,power_power(A,B),C)),hAPP(nat,A,power_power(A,B),D)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),C),D)).
% 0.37/0.59 Following clause subsumed by 519 during input processing: 0 [] {-} -linordered_semidom(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),one_one(A)),B))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(nat,A,power_power(A,B),C)),hAPP(nat,A,power_power(A,B),D)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),C),D)).
% 0.37/0.59 Following clause subsumed by 521 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),A))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B))| -hBOOL(hAPP(int,bool,zcong(A,zero_zero(int)),B))|ti(int,A)=zero_zero(int).
% 0.37/0.59 Following clause subsumed by 525 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,zprime,A))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,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)).
% 0.37/0.59 Following clause subsumed by 525 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,zprime,A))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,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)).
% 0.37/0.59 Following clause subsumed by 493 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),A))| -hBOOL(hAPP(int,bool,zprime,B))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),hAPP(int,int,times_times(int,A),C)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),A))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),C)).
% 0.37/0.59 Following clause subsumed by 581 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),A),C)).
% 0.37/0.59 Following clause subsumed by 585 during input processing: 0 [] {-} hAPP(nat,nat,power_power(nat,A),B)=one_one(nat)|B!=zero_zero(nat).
% 0.37/0.59 Following clause subsumed by 617 during input processing: 0 [] {-} -hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),A),B))|hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),A),B))|A=B.
% 0.37/0.59 Following clause subsumed by 615 during input processing: 0 [] {-} hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less_eq(real),A),B))| -hBOOL(hAPP(real,bool,hAPP(real,fun(real,bool),ord_less(real),A),B)).
% 0.37/0.59 Following clause subsumed by 619 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),A)).
% 0.37/0.59 Following clause subsumed by 621 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|B!=A.
% 0.37/0.59 Following clause subsumed by 620 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|B!=A.
% 0.37/0.59 Following clause subsumed by 579 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A!=B.
% 0.37/0.59 Following clause subsumed by 579 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A!=B.
% 0.37/0.59 Following clause subsumed by 627 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),C),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),C),A)).
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A=B.
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A=B.
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|A=B| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A)).
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A=B.
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|B=A.
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|B!=A.
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A)).
% 0.37/0.59 Following clause subsumed by 579 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A!=B.
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|B=A.
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A))|A=B.
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|A!=B.
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 579 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A)).
% 0.37/0.59 Following clause subsumed by 577 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),B),A)).
% 0.37/0.59 Following clause subsumed by 610 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.37/0.59 Following clause subsumed by 621 during input processing: 0 [] {-} A!=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.59 Following clause subsumed by 610 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),zero_zero(nat))).
% 0.37/0.59 Following clause subsumed by 643 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),zero_zero(nat)))|A!=zero_zero(nat).
% 0.37/0.59 Following clause subsumed by 664 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hAPP(nat,nat,minus_minus(nat,A),B)=zero_zero(nat).
% 0.37/0.59 Following clause subsumed by 584 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)=zero_zero(nat)|A!=zero_zero(nat).
% 0.37/0.59 Following clause subsumed by 620 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A!=B.
% 0.37/0.59 Following clause subsumed by 690 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B.
% 0.37/0.59 Following clause subsumed by 689 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 643 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A!=B.
% 0.37/0.59 Following clause subsumed by 689 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 690 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 689 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 643 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B)).
% 0.37/0.59 Following clause subsumed by 691 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.37/0.59 Following clause subsumed by 707 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,A),B)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),C)).
% 0.37/0.59 Following clause subsumed by 706 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),hAPP(nat,nat,plus_plus(nat,A),B)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.37/0.59 Following clause subsumed by 714 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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)).
% 0.37/0.59 Following clause subsumed by 578 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat)))|A!=one_one(nat).
% 0.37/0.59 Following clause subsumed by 589 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)!=one_one(nat)|A=one_one(nat).
% 0.37/0.59 Following clause subsumed by 590 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)!=one_one(nat)|B=one_one(nat).
% 0.37/0.59 Following clause subsumed by 591 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)=one_one(nat)|A!=one_one(nat)|B!=one_one(nat).
% 0.37/0.59 Following clause subsumed by 681 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,plus_plus(nat,A),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A)).
% 0.37/0.59 Following clause subsumed by 682 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),hAPP(nat,nat,plus_plus(nat,A),B)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),B)).
% 0.37/0.59 Following clause subsumed by 733 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,A,hAPP(nat,nat,minus_minus(nat,B),C)))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),C))|hBOOL(hAPP(nat,bool,A,zero_zero(nat))).
% 0.37/0.59 Following clause subsumed by 734 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)).
% 0.37/0.59 Following clause subsumed by 751 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,A),C)),hAPP(nat,nat,times_times(nat,B),C))).
% 0.37/0.59 Following clause subsumed by 748 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),C))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),hAPP(nat,nat,times_times(nat,C),A)),hAPP(nat,nat,times_times(nat,C),B))).
% 0.37/0.59 Following clause subsumed by 724 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.37/0.59 Following clause subsumed by 723 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less_eq(nat),A),C)).
% 0.37/0.59 Following clause subsumed by 667 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.
% 0.37/0.59 Following clause subsumed by 669 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)=hAPP(nat,nat,times_times(nat,A),C)|A!=zero_zero(nat).
% 0.37/0.59 Following clause subsumed by 668 during input processing: 0 [] {-} hAPP(nat,nat,times_times(nat,A),B)=hAPP(nat,nat,times_times(nat,A),C)|B!=C.
% 0.37/0.59 Following clause subsumed by 747 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.37/0.59 Following clause subsumed by 748 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less(nat),B),C)).
% 0.37/0.59 Following clause subsumed by 668 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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.
% 0.37/0.60 Following clause subsumed by 582 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 768 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 582 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 769 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 724 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),zero_zero(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),ord_less_eq(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 250 during input processing: 0 [] {-} ti(int,A)=zero_zero(int)|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),B),C))| -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),dvd_dvd(int),hAPP(int,int,times_times(int,A),B)),hAPP(int,int,times_times(int,A),C))).
% 0.37/0.60 Following clause subsumed by 809 during input processing: 0 [] {-} -comm_ring(A)| -dvd(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),C))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,plus_plus(A,D),E)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,plus_plus(A,hAPP(A,A,minus_minus(A,D),hAPP(A,A,times_times(A,F),C))),E))).
% 0.37/0.60 Following clause subsumed by 808 during input processing: 0 [] {-} -comm_ring(A)| -dvd(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,plus_plus(A,D),E)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,plus_plus(A,hAPP(A,A,minus_minus(A,D),hAPP(A,A,times_times(A,F),C))),E))).
% 0.37/0.60 Following clause subsumed by 563 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),A),hAPP(int,int,minus_minus(int,B),one_one(int))))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),B)).
% 0.37/0.60 Following clause subsumed by 826 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,plus_plus(A,B),C)!=hAPP(A,A,plus_plus(A,B),D)|ti(A,C)=ti(A,D).
% 0.37/0.60 Following clause subsumed by 828 during input processing: 0 [] {-} -cancel_semigroup_add(A)|hAPP(A,A,plus_plus(A,B),C)!=hAPP(A,A,plus_plus(A,D),C)|ti(A,B)=ti(A,D).
% 0.37/0.60 Following clause subsumed by 841 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,plus_plus(A,B),C)),hAPP(A,A,plus_plus(A,D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),B),D)).
% 0.37/0.60 Following clause subsumed by 843 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),hAPP(A,A,plus_plus(A,B),C)),hAPP(A,A,plus_plus(A,B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less_eq(A),C),D)).
% 0.37/0.60 Following clause subsumed by 848 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,plus_plus(A,B),C)),hAPP(A,A,plus_plus(A,D),C)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),B),D)).
% 0.37/0.60 Following clause subsumed by 850 during input processing: 0 [] {-} -ordere236663937imp_le(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),hAPP(A,A,plus_plus(A,B),C)),hAPP(A,A,plus_plus(A,B),D)))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),ord_less(A),C),D)).
% 0.37/0.60 Following clause subsumed by 404 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)).
% 0.37/0.60 Following clause subsumed by 956 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,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(int,fun(int,bool),dvd_dvd(int),A),C)).
% 0.37/0.60 Following clause subsumed by 958 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),A))|A=zero_zero(nat).
% 0.37/0.60 Following clause subsumed by 579 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),A))|A!=zero_zero(nat).
% 0.37/0.60 Following clause subsumed by 958 during input processing: 0 [] {-} A=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),A)).
% 0.37/0.60 Following clause subsumed by 579 during input processing: 0 [] {-} A!=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),zero_zero(nat)))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),zero_zero(nat)),A)).
% 0.37/0.60 Following clause subsumed by 722 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat)))|A=one_one(nat).
% 0.37/0.60 Following clause subsumed by 722 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat)))|A=one_one(nat).
% 0.37/0.60 Following clause subsumed by 578 during input processing: 0 [] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat)))|A!=one_one(nat).
% 0.37/0.60 Following clause subsumed by 722 during input processing: 0 [] {-} A=one_one(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat))).
% 0.37/0.60 Following clause subsumed by 578 during input processing: 0 [] {-} A!=one_one(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),one_one(nat)),A))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),one_one(nat))).
% 0.37/0.60 Following clause subsumed by 596 during input processing: 0 [] {-} A=zero_zero(nat)| -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 583 during input processing: 0 [] {-} A=zero_zero(nat)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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(nat,fun(nat,bool),dvd_dvd(nat),B),C)).
% 0.37/0.60 Following clause subsumed by 586 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),dvd_dvd(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),A),B))|B=zero_zero(nat).
% 0.37/0.60 Following clause subsumed by 786 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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.
% 0.37/0.60 Following clause subsumed by 964 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,times_times(A,zero_zero(A)),B)=zero_zero(A).
% 0.37/0.60 Following clause subsumed by 965 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,times_times(A,B),zero_zero(A))=zero_zero(A).
% 0.37/0.60 Following clause subsumed by 967 during input processing: 0 [flip.2] {-} -real_normed_algebra(A)|hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,B),D))=hAPP(A,A,times_times(A,B),hAPP(A,A,plus_plus(A,C),D)).
% 0.37/0.60 Following clause subsumed by 968 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,times_times(A,hAPP(A,A,plus_plus(A,B),C)),D)=hAPP(A,A,plus_plus(A,hAPP(A,A,times_times(A,B),D)),hAPP(A,A,times_times(A,C),D)).
% 0.46/0.63 Following clause subsumed by 970 during input processing: 0 [flip.2] {-} -real_normed_algebra(A)|hAPP(A,A,minus_minus(A,hAPP(A,A,times_times(A,B),C)),hAPP(A,A,times_times(A,B),D))=hAPP(A,A,times_times(A,B),hAPP(A,A,minus_minus(A,C),D)).
% 0.46/0.63 Following clause subsumed by 971 during input processing: 0 [] {-} -real_normed_algebra(A)|hAPP(A,A,times_times(A,hAPP(A,A,minus_minus(A,B),C)),D)=hAPP(A,A,minus_minus(A,hAPP(A,A,times_times(A,B),D)),hAPP(A,A,times_times(A,C),D)).
% 0.46/0.63 Following clause subsumed by 977 during input processing: 0 [flip.2] {-} -semiring_div(A)|hAPP(A,A,div_mod(A,hAPP(A,A,times_times(A,hAPP(A,A,div_mod(A,B),D)),C)),D)=hAPP(A,A,div_mod(A,hAPP(A,A,times_times(A,B),C)),D).
% 0.46/0.63 Following clause subsumed by 991 during input processing: 0 [] {-} -semiring_div(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),C))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,div_mod(A,C),D))).
% 0.46/0.63 Following clause subsumed by 990 during input processing: 0 [] {-} -semiring_div(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),hAPP(A,A,div_mod(A,C),D)))| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),D))|hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),C)).
% 0.46/0.63 Following clause subsumed by 994 during input processing: 0 [flip.2] {-} -semiring_div(A)|hAPP(A,A,div_mod(A,hAPP(A,A,plus_plus(A,hAPP(A,A,div_mod(A,B),D)),C)),D)=hAPP(A,A,div_mod(A,hAPP(A,A,plus_plus(A,B),C)),D).
% 0.46/0.63 Following clause subsumed by 995 during input processing: 0 [flip.2] {-} -semiring_div(A)|hAPP(A,A,div_mod(A,hAPP(A,A,plus_plus(A,B),hAPP(A,A,div_mod(A,C),D))),D)=hAPP(A,A,div_mod(A,hAPP(A,A,plus_plus(A,B),C)),D).
% 0.46/0.63 Following clause subsumed by 1011 during input processing: 0 [] {-} -semiring_div(A)| -hBOOL(hAPP(A,bool,hAPP(A,fun(A,bool),dvd_dvd(A),B),C))|hAPP(A,A,div_mod(A,C),B)=zero_zero(A).
% 0.46/0.63 Following clause subsumed by 987 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,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).
% 0.46/0.63 Following clause subsumed by 1029 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),A))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),zero_zero(int)),hAPP(int,int,div_mod(int,B),A))).
% 0.46/0.63 Following clause subsumed by 1009 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),zero_zero(int)),A))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),hAPP(int,int,div_mod(int,B),A)),A)).
% 0.46/0.63 Following clause subsumed by 1031 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,div_mod(int,B),A)),zero_zero(int))).
% 0.46/0.63 Following clause subsumed by 1010 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),zero_zero(int)))|hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),A),hAPP(int,int,div_mod(int,B),A))).
% 0.46/0.63 Following clause subsumed by 1085 during input processing: 0 [] {-} -hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hAPP(nat,nat,div_mod(nat,A),B)=A.
% 0.46/0.63 Following clause subsumed by 1092 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,zcong(A,zero_zero(int)),B))|standardRes(B,A)!=zero_zero(int).
% 0.46/0.63 Following clause subsumed by 1093 during input processing: 0 [] {-} -hBOOL(hAPP(int,bool,zcong(A,zero_zero(int)),B))|standardRes(B,A)=zero_zero(int).
% 0.46/0.63 Following clause subsumed by 164 during input processing: 0 [copy,163,flip.1] {-} bit0(A)!=bit1(B).
% 0.46/0.63 Following clause subsumed by 163 during input processing: 0 [copy,164,flip.1] {-} bit1(A)!=bit0(B).
% 0.46/0.63 264 back subsumes 262.
% 0.46/0.63 265 back subsumes 261.
% 0.46/0.63 355 back subsumes 159.
% 0.46/0.63 375 back subsumes 51.
% 0.46/0.63 480 back subsumes 301.
% 0.46/0.63 481 back subsumes 302.
% 0.46/0.63 482 back subsumes 303.
% 0.46/0.63 511 back subsumes 146.
% 0.46/0.63 517 back subsumes 308.
% 0.46/0.63 518 back subsumes 309.
% 0.46/0.63 626 back subsumes 625.
% 0.46/0.63 626 back subsumes 624.
% 0.46/0.63 634 back subsumes 630.
% 0.67/0.85 634 back subsumes 627.
% 0.67/0.85 634 back subsumes 626.
% 0.67/0.85 635 back subsumes 632.
% 0.67/0.85 635 back subsumes 628.
% 0.67/0.85 636 back subsumes 631.
% 0.67/0.85 636 back subsumes 629.
% 0.67/0.85 650 back subsumes 645.
% 0.67/0.85 774 back subsumes 517.
% 0.67/0.85 879 back subsumes 875.
% 0.67/0.85 896 back subsumes 894.
% 0.67/0.85 897 back subsumes 895.
% 0.67/0.85 1011 back subsumes 974.
% 0.67/0.85 1012 back subsumes 975.
% 0.67/0.85 Following clause subsumed by 210 during input processing: 0 [copy,1122,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),A)),A)!=zero_zero(int).
% 0.67/0.85
% 0.67/0.85 ------------> process sos:
% 0.67/0.85 Following clause subsumed by 1414 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)).
% 0.67/0.85 Following clause subsumed by 1476 during input processing: 0 [demod,1462,1471,1417] {-} hAPP(int,int,plus_plus(int,pls),A)=number_number_of(int,A).
% 0.67/0.85 Following clause subsumed by 1414 during input processing: 0 [demod,1462,1471,1462,1471] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),pls),pls)).
% 0.67/0.85 Following clause subsumed by 1414 during input processing: 0 [] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),min),min)).
% 0.67/0.85 Following clause subsumed by 1556 during input processing: 0 [demod,1462,1471] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),min),pls)).
% 0.67/0.85 Following clause subsumed by 1632 during input processing: 0 [] {-} A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.67/0.85 Following clause subsumed by 1632 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),A),B))|A=B|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),B),A)).
% 0.67/0.85 Following clause subsumed by 1662 during input processing: 0 [demod,1426,1426] {-} A=number_number_of(nat,pls)|hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less(nat),number_number_of(nat,pls)),A)).
% 0.67/0.85 Following clause subsumed by 1622 during input processing: 0 [demod,1426] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,bool),ord_less_eq(nat),number_number_of(nat,pls)),A)).
% 0.67/0.85 Following clause subsumed by 1414 during input processing: 0 [demod,1462,1576,1576] {-} hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),hAPP(int,int,minus_minus(int,pls),pls)),hAPP(int,int,minus_minus(int,pls),pls))).
% 0.67/0.85 Following clause subsumed by 1794 during input processing: 0 [flip.2] {-} hBOOL(hAPP(nat,bool,hAPP(nat,fun(nat,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).
% 0.67/0.85 Following clause subsumed by 1737 during input processing: 0 [demod,1790] {-} hBOOL(hAPP(int,bool,zcong(A,hAPP(int,int,div_mod(int,A),B)),B)).
% 0.67/0.85 1414 back subsumes 1260.
% 0.67/0.85 1414 back subsumes 1259.
% 0.67/0.85 1414 back subsumes 1258.
% 0.67/0.85 1414 back subsumes 1195.
% 0.67/0.85 1414 back subsumes 1141.
% 0.67/0.85 Following clause subsumed by 1418 during input processing: 0 [copy,1418,flip.1] {-} hAPP(int,int,times_times(int,A),B)=hAPP(int,int,times_times(int,B),A).
% 0.67/0.85 1419 back subsumes 396.
% 0.67/0.85 Following clause subsumed by 1959 during input processing: 0 [copy,1428,flip.1] {-} number_number_of(nat,pls)=number_number_of(nat,pls).
% 0.67/0.85 Following clause subsumed by 1959 during input processing: 0 [copy,1453,flip.1] {-} number_number_of(nat,bit1(pls))=number_number_of(nat,bit1(pls)).
% 0.67/0.85 Following clause subsumed by 1459 during input processing: 0 [copy,1459,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)).
% 0.67/0.85 Following clause subsumed by 1460 during input processing: 0 [copy,1460,flip.1] {-} hAPP(int,int,plus_plus(int,A),B)=hAPP(int,int,plus_plus(int,B),A).
% 0.67/0.85 Following clause subsumed by 1959 during input processing: 0 [copy,1483,flip.1,demod,1576,1576] {-} hAPP(int,int,minus_minus(int,A),pls)=hAPP(int,int,minus_minus(int,A),pls).
% 0.67/0.85 Following clause subsumed by 1959 during input processing: 0 [copy,1598,flip.1] {-} hAPP(int,int,minus_minus(int,min),hAPP(int,int,plus_plus(int,A),A))=hAPP(int,int,minus_minus(int,min),hAPP(int,int,plus_plus(int,A),A)).
% 0.67/0.86 Following clause subsumed by 1623 during input processing: 0 [copy,1623,flip.1] {-} hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,A),B)),C)=hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,A),C)),B).
% 0.67/0.86 Following clause subsumed by 1633 during input processing: 0 [copy,1633,flip.1] {-} hAPP(nat,nat,plus_plus(nat,A),B)=hAPP(nat,nat,plus_plus(nat,B),A).
% 0.67/0.86 Following clause subsumed by 1634 during input processing: 0 [copy,1634,flip.1] {-} hAPP(nat,nat,plus_plus(nat,A),hAPP(nat,nat,plus_plus(nat,B),C))=hAPP(nat,nat,plus_plus(nat,B),hAPP(nat,nat,plus_plus(nat,A),C)).
% 0.67/0.86 Following clause subsumed by 1648 during input processing: 0 [copy,1648,flip.1] {-} hAPP(real,real,times_times(real,A),B)=hAPP(real,real,times_times(real,B),A).
% 0.67/0.86 1651 back subsumes 1220.
% 0.67/0.86 Following clause subsumed by 1654 during input processing: 0 [copy,1654,flip.1] {-} hAPP(nat,nat,times_times(nat,A),B)=hAPP(nat,nat,times_times(nat,B),A).
% 0.67/0.86 1721 back subsumes 1719.
% 0.67/0.86 1725 back subsumes 1723.
% 0.67/0.86 Following clause subsumed by 1959 during input processing: 0 [copy,1734,flip.1] {-} 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).
% 0.67/0.86 Following clause subsumed by 1959 during input processing: 0 [copy,1959,flip.1] {-} A=A.
% 0.67/0.86 1959 back subsumes 1734.
% 0.67/0.86 1959 back subsumes 1598.
% 0.67/0.86 1959 back subsumes 1453.
% 0.67/0.86 1959 back subsumes 1428.
% 0.67/0.86 1959 back subsumes 1244.
% 0.67/0.86 1959 back subsumes 1223.
% 0.67/0.86 1959 back subsumes 1222.
% 0.67/0.86 1959 back subsumes 1219.
% 0.67/0.86 1959 back subsumes 1212.
% 0.67/0.86 1959 back subsumes 1136.
% 0.67/0.86 Following clause subsumed by 2480 during input processing: 0 [copy,2084,flip.1] {-} hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,A),pls)),hAPP(int,int,minus_minus(int,B),pls))=hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,A),B)),pls).
% 0.67/0.86 Following clause subsumed by 1423 during input processing: 0 [copy,2086,flip.1] {-} 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)).
% 0.67/0.86 Following clause subsumed by 2324 during input processing: 0 [copy,2204,flip.1] {-} hAPP(int,int,times_times(int,bit1(pls)),A)=hAPP(int,int,minus_minus(int,A),pls).
% 0.67/0.86 Following clause subsumed by 2479 during input processing: 0 [copy,2205,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,A),pls)),hAPP(int,int,minus_minus(int,B),pls))=hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,A),B)),pls).
% 0.67/0.86 Following clause subsumed by 1442 during input processing: 0 [copy,2206,flip.1] {-} hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,A),B)),C)=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,A),C)),hAPP(int,int,times_times(int,B),C)).
% 0.67/0.86 Following clause subsumed by 2204 during input processing: 0 [copy,2324,flip.1] {-} hAPP(int,int,minus_minus(int,A),pls)=hAPP(int,int,times_times(int,bit1(pls)),A).
% 0.67/0.86 Following clause subsumed by 2372 during input processing: 0 [copy,2367,flip.1] {-} hAPP(int,int,times_times(int,bit1(A)),B)=hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,A),A)),B)),B).
% 0.67/0.86 Following clause subsumed by 2473 during input processing: 0 [copy,2370,flip.1] {-} hAPP(int,int,plus_plus(int,pls),A)=hAPP(int,int,minus_minus(int,A),pls).
% 0.67/0.86 Following clause subsumed by 2367 during input processing: 0 [copy,2372,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,A),A)),B)),B)=hAPP(int,int,times_times(int,bit1(A)),B).
% 0.67/0.86 Following clause subsumed by 2419 during input processing: 0 [copy,2418,flip.1] {-} bit1(A)!=hAPP(int,int,plus_plus(int,B),B).
% 0.67/0.86 Following clause subsumed by 2418 during input processing: 0 [copy,2419,flip.1] {-} hAPP(int,int,plus_plus(int,A),A)!=bit1(B).
% 0.67/0.86 Following clause subsumed by 1488 during input processing: 0 [copy,2447,flip.1] {-} hAPP(int,int,plus_plus(int,A),hAPP(int,int,plus_plus(int,A),bit1(B)))=hAPP(int,int,plus_plus(int,bit1(A)),hAPP(int,int,plus_plus(int,B),B)).
% 0.67/0.86 Following clause subsumed by 2471 during input processing: 0 [copy,2448,flip.1] {-} bit1(A)=hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,plus_plus(int,A),A)).
% 0.67/0.86 Following clause subsumed by 1506 during input processing: 0 [copy,2451,flip.1] {-} hAPP(int,int,times_times(int,A),hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,int,power_power(int,A),number_number_of(nat,bit1(bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 1527 during input processing: 0 [copy,2452,flip.1] {-} 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)).
% 0.67/0.86 Following clause subsumed by 1534 during input processing: 0 [copy,2453,flip.1] {-} hAPP(nat,nat,times_times(nat,number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),A)=hAPP(nat,nat,plus_plus(nat,A),A).
% 0.67/0.86 Following clause subsumed by 1565 during input processing: 0 [copy,2454,flip.1] {-} hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),hAPP(nat,real,power_power(real,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,real,power_power(real,hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),A)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 2448 during input processing: 0 [copy,2471,flip.1] {-} hAPP(int,int,plus_plus(int,bit1(pls)),hAPP(int,int,plus_plus(int,A),A))=bit1(A).
% 0.67/0.86 Following clause subsumed by 2370 during input processing: 0 [copy,2473,flip.1] {-} hAPP(int,int,minus_minus(int,A),pls)=hAPP(int,int,plus_plus(int,pls),A).
% 0.67/0.86 Following clause subsumed by 2205 during input processing: 0 [copy,2479,flip.1] {-} hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,A),B)),pls)=hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,A),pls)),hAPP(int,int,minus_minus(int,B),pls)).
% 0.67/0.86 Following clause subsumed by 2084 during input processing: 0 [copy,2480,flip.1] {-} hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,A),B)),pls)=hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,A),pls)),hAPP(int,int,minus_minus(int,B),pls)).
% 0.67/0.86 Following clause subsumed by 1580 during input processing: 0 [copy,2487,flip.1] {-} hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,A),B)),C)=hAPP(int,int,minus_minus(int,hAPP(int,int,times_times(int,A),C)),hAPP(int,int,times_times(int,B),C)).
% 0.67/0.86 Following clause subsumed by 1593 during input processing: 0 [copy,2488,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,A),hAPP(int,int,times_times(int,B),C))),D)),hAPP(int,int,times_times(int,hAPP(int,int,minus_minus(int,E),hAPP(int,int,times_times(int,B),F))),G))=hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,A),D)),hAPP(int,int,times_times(int,E),G))),hAPP(int,int,times_times(int,B),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,C),D)),hAPP(int,int,times_times(int,F),G)))).
% 0.67/0.86 Following clause subsumed by 1603 during input processing: 0 [copy,2489,flip.1] {-} hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,A),B)),hAPP(int,int,minus_minus(int,A),B))=hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,int,power_power(int,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))).
% 0.67/0.86 Following clause subsumed by 1619 during input processing: 0 [copy,2493,flip.1] {-} hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,power_power(nat,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,nat,power_power(nat,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,nat,times_times(nat,hAPP(nat,nat,plus_plus(nat,A),B)),hAPP(nat,nat,minus_minus(nat,A),B)).
% 0.67/0.86 Following clause subsumed by 1631 during input processing: 0 [copy,2494,flip.1] {-} hAPP(nat,nat,minus_minus(nat,A),A)=number_number_of(nat,pls).
% 0.67/0.86 Following clause subsumed by 1641 during input processing: 0 [copy,2495,flip.1] {-} hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,minus_minus(nat,A),B)),C)=hAPP(nat,nat,minus_minus(nat,A),hAPP(nat,nat,plus_plus(nat,B),C)).
% 0.67/0.86 Following clause subsumed by 1660 during input processing: 0 [copy,2496,flip.1] {-} hAPP(nat,nat,times_times(nat,hAPP(nat,nat,minus_minus(nat,A),B)),C)=hAPP(nat,nat,minus_minus(nat,hAPP(nat,nat,times_times(nat,A),C)),hAPP(nat,nat,times_times(nat,B),C)).
% 0.67/0.86 Following clause subsumed by 1684 during input processing: 0 [copy,2497,flip.1] {-} hAPP(nat,nat,times_times(nat,hAPP(nat,nat,plus_plus(nat,A),B)),C)=hAPP(nat,nat,plus_plus(nat,hAPP(nat,nat,times_times(nat,A),C)),hAPP(nat,nat,times_times(nat,B),C)).
% 0.67/0.86 Following clause subsumed by 1693 during input processing: 0 [copy,2498,flip.1] {-} hAPP(real,real,times_times(real,hAPP(real,real,plus_plus(real,A),B)),C)=hAPP(real,real,plus_plus(real,hAPP(real,real,times_times(real,A),C)),hAPP(real,real,times_times(real,B),C)).
% 0.67/0.86 Following clause subsumed by 2508 during input processing: 0 [copy,2503,flip.1] {-} hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,A),A)),hAPP(int,int,plus_plus(int,B),B))=hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,div_mod(int,A),B)).
% 0.67/0.86 Following clause subsumed by 1788 during input processing: 0 [copy,2504,flip.1] {-} hAPP(nat,nat,times_times(nat,hAPP(nat,nat,div_mod(nat,A),B)),C)=hAPP(nat,nat,div_mod(nat,hAPP(nat,nat,times_times(nat,A),C)),hAPP(nat,nat,times_times(nat,B),C)).
% 0.67/0.86 Following clause subsumed by 1956 during input processing: 0 [copy,2505,flip.1] {-} hAPP(A,B,combb(C,B,A,D,E),F)=hAPP(C,B,D,hAPP(A,C,E,F)).
% 0.67/0.86 Following clause subsumed by 1957 during input processing: 0 [copy,2506,flip.1] {-} hAPP(A,B,combc(A,C,B,D,E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),E).
% 0.67/0.86 Following clause subsumed by 1958 during input processing: 0 [copy,2507,flip.1] {-} hAPP(A,B,combs(A,C,B,D,E),F)=hAPP(C,B,hAPP(A,fun(C,B),D,F),hAPP(A,C,E,F)).
% 0.67/0.86 Following clause subsumed by 2503 during input processing: 0 [copy,2508,flip.1] {-} hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,div_mod(int,A),B))=hAPP(int,int,div_mod(int,hAPP(int,int,plus_plus(int,A),A)),hAPP(int,int,plus_plus(int,B),B)).
% 0.67/0.86 Following clause subsumed by 2371 during input processing: 0 [copy,2528,flip.1] {-} hAPP(int,int,plus_plus(int,A),hAPP(int,int,plus_plus(int,B),hAPP(int,int,plus_plus(int,A),B)))=hAPP(int,int,plus_plus(int,A),hAPP(int,int,plus_plus(int,A),hAPP(int,int,plus_plus(int,B),B))).
% 0.67/0.86 Following clause subsumed by 2373 during input processing: 0 [copy,2529,flip.1] {-} hAPP(int,int,times_times(int,A),hAPP(int,int,plus_plus(int,B),B))=hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,A),A)),B).
% 0.67/0.86 Following clause subsumed by 2449 during input processing: 0 [copy,2530,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,bit1(bit1(pls))))),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,bit1(bit1(pls))),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),B)),hAPP(int,int,times_times(int,A),hAPP(nat,int,power_power(int,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))),hAPP(nat,int,power_power(int,B),number_number_of(nat,bit1(bit1(pls))))))=hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,A),B)),number_number_of(nat,bit1(bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 2450 during input processing: 0 [copy,2531,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,times_times(int,A),B))),hAPP(nat,int,power_power(int,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))))=hAPP(nat,int,power_power(int,hAPP(int,int,plus_plus(int,A),B)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 2490 during input processing: 0 [copy,2535,flip.1] {-} hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(int,int,times_times(int,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))),hAPP(int,int,times_times(int,A),B)))),hAPP(nat,int,power_power(int,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,minus_minus(int,A),B)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 2491 during input processing: 0 [copy,2536,flip.1] {-} hAPP(int,int,minus_minus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,minus_minus(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,bit1(bit1(pls))))),hAPP(int,int,times_times(int,bit1(bit1(pls))),hAPP(int,int,times_times(int,hAPP(nat,int,power_power(int,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),B)))),hAPP(int,int,times_times(int,bit1(bit1(pls))),hAPP(int,int,times_times(int,A),hAPP(nat,int,power_power(int,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))))),hAPP(nat,int,power_power(int,B),number_number_of(nat,bit1(bit1(pls)))))=hAPP(nat,int,power_power(int,hAPP(int,int,minus_minus(int,A),B)),number_number_of(nat,bit1(bit1(pls)))).
% 0.67/0.86 Following clause subsumed by 2492 during input processing: 0 [copy,2537,flip.1] {-} hAPP(real,real,plus_plus(real,hAPP(real,real,plus_plus(real,hAPP(nat,real,power_power(real,A),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls))))),hAPP(nat,real,power_power(real,B),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))))),hAPP(real,real,times_times(real,number_number_of(real,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))),hAPP(real,real,times_times(real,A),B)))=hAPP(nat,real,power_power(real,hAPP(real,real,plus_plus(real,A),B)),number_number_of(nat,hAPP(int,int,plus_plus(int,bit1(pls)),bit1(pls)))).
% 0.67/0.86
% 0.67/0.86 ======= end of input processing =======
% 0.67/0.87
% 0.67/0.87 SEGMENTATION FAULT!! This is probably caused by a
% 0.67/0.87 bug in Otter. Please send copy of the input file to
% 0.67/0.87 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.67/0.87 using, and send any other info that might be useful.
% 0.67/0.87
% 0.67/0.87
% 0.67/0.87 SEGMENTATION FAULT!! This is probably caused by a
% 0.67/0.87 bug in Otter. Please send copy of the input file to
% 0.67/0.87 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.67/0.87 using, and send any other info that might be useful.
% 0.67/0.87
% 0.67/0.87
% 0.67/0.87 The job finished Tue Jul 5 15:35:23 2022
%------------------------------------------------------------------------------