TSTP Solution File: SWW250+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW250+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n022.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 : Thu Jul 21 01:26:25 EDT 2022
% Result : Unknown 0.45s 0.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW250+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : sos-script %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 13:55:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 ----- Otter 3.2, August 2001 -----
% 0.19/0.54 The process was started by sandbox2 on n022.cluster.edu,
% 0.19/0.54 Sat Jun 4 13:55:21 2022
% 0.19/0.54 The command was "./sos". The process ID is 3385.
% 0.19/0.54
% 0.19/0.54 set(prolog_style_variables).
% 0.19/0.54 set(auto).
% 0.19/0.54 dependent: set(auto1).
% 0.19/0.54 dependent: set(process_input).
% 0.19/0.54 dependent: clear(print_kept).
% 0.19/0.54 dependent: clear(print_new_demod).
% 0.19/0.54 dependent: clear(print_back_demod).
% 0.19/0.54 dependent: clear(print_back_sub).
% 0.19/0.54 dependent: set(control_memory).
% 0.19/0.54 dependent: assign(max_mem, 12000).
% 0.19/0.54 dependent: assign(pick_given_ratio, 4).
% 0.19/0.54 dependent: assign(stats_level, 1).
% 0.19/0.54 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.54 dependent: assign(sos_limit, 5000).
% 0.19/0.54 dependent: assign(max_weight, 60).
% 0.19/0.54 clear(print_given).
% 0.19/0.54
% 0.19/0.54 formula_list(usable).
% 0.19/0.54
% 0.19/0.54 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.54
% 0.19/0.54 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.54 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.54 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.54 clauses in usable.
% 0.19/0.54
% 0.19/0.54 dependent: set(knuth_bendix).
% 0.19/0.54 dependent: set(para_from).
% 0.19/0.54 dependent: set(para_into).
% 0.19/0.54 dependent: clear(para_from_right).
% 0.19/0.54 dependent: clear(para_into_right).
% 0.19/0.54 dependent: set(para_from_vars).
% 0.19/0.54 dependent: set(eq_units_both_ways).
% 0.19/0.54 dependent: set(dynamic_demod_all).
% 0.19/0.54 dependent: set(dynamic_demod).
% 0.19/0.54 dependent: set(order_eq).
% 0.19/0.54 dependent: set(back_demod).
% 0.19/0.54 dependent: set(lrpo).
% 0.19/0.54 dependent: set(hyper_res).
% 0.19/0.54 dependent: set(unit_deletion).
% 0.19/0.54 dependent: set(factor).
% 0.19/0.54
% 0.19/0.54 ------------> process usable:
% 0.19/0.54 Following clause subsumed by 25 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)|B!=C.
% 0.19/0.54 Following clause subsumed by 39 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),C)).
% 0.19/0.54 Following clause subsumed by 38 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.19/0.54 Following clause subsumed by 43 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.19/0.54 Following clause subsumed by 53 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Nat_OSuc,B)|A=B.
% 0.19/0.54 Following clause subsumed by 55 during input processing: 0 [flip.1] {-} hAPP(c_Nat_OSuc,A)!=A.
% 0.19/0.54 Following clause subsumed by 56 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.54 Following clause subsumed by 57 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.19/0.54 Following clause subsumed by 58 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),A)).
% 0.19/0.54 Following clause subsumed by 68 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 68 during input processing: 0 [] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 69 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.19/0.54 Following clause subsumed by 69 during input processing: 0 [] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.19/0.54 Following clause subsumed by 12 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.19/0.54 Following clause subsumed by 70 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.19/0.54 Following clause subsumed by 12 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.19/0.54 Following clause subsumed by 73 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|A=B.
% 0.19/0.54 Following clause subsumed by 71 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.54 Following clause subsumed by 11 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.54 Following clause subsumed by 73 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.19/0.54 Following clause subsumed by 76 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.54 Following clause subsumed by 110 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 90 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.19/0.54 Following clause subsumed by 89 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B)).
% 0.19/0.54 Following clause subsumed by 136 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Nat_OSuc,C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.19/0.54 Following clause subsumed by 153 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.19/0.54 Following clause subsumed by 155 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 154 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.19/0.54 Following clause subsumed by 160 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.19/0.54 Following clause subsumed by 160 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 0.19/0.54 Following clause subsumed by 158 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 0.19/0.54 Following clause subsumed by 166 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.19/0.54 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 0.19/0.54 Following clause subsumed by 183 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 0.19/0.54 Following clause subsumed by 184 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 0.19/0.54 Following clause subsumed by 25 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.19/0.54 Following clause subsumed by 43 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.19/0.54 Following clause subsumed by 38 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.19/0.54 Following clause subsumed by 210 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 0.19/0.54 Following clause subsumed by 212 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 0.19/0.54 Following clause subsumed by 216 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 230 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.19/0.54 Following clause subsumed by 231 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),D)).
% 0.19/0.54 Following clause subsumed by 24 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.19/0.54 Following clause subsumed by 26 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 25 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)|B!=C.
% 0.19/0.54 Following clause subsumed by 240 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),C)).
% 0.19/0.54 Following clause subsumed by 246 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 0.19/0.54 Following clause subsumed by 253 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),D)).
% 0.19/0.54 Following clause subsumed by 240 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),C)).
% 0.19/0.54 Following clause subsumed by 241 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,D),B)).
% 0.19/0.54 Following clause subsumed by 89 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.19/0.54 Following clause subsumed by 90 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.19/0.54 Following clause subsumed by 291 during input processing: 0 [flip.2] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.19/0.54 Following clause subsumed by 302 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 304 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 306 during input processing: 0 [] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|A!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|B!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.19/0.54 Following clause subsumed by 329 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,C),D)).
% 0.19/0.54 Following clause subsumed by 330 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))).
% 0.19/0.54 Following clause subsumed by 338 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 339 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.54 Following clause subsumed by 341 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 0.19/0.54 Following clause subsumed by 284 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.19/0.54 Following clause subsumed by 358 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 0.19/0.54 Following clause subsumed by 382 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.19/0.54 Following clause subsumed by 384 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.19/0.54 Following clause subsumed by 392 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=hAPP(c_Nat_OSuc,B).
% 0.19/0.54 Following clause subsumed by 393 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.54 Following clause subsumed by 399 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 401 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A=B.
% 0.19/0.55 Following clause subsumed by 399 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 400 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.19/0.55 Following clause subsumed by 399 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 56 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|A!=B.
% 0.19/0.55 Following clause subsumed by 401 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A=B.
% 0.19/0.55 Following clause subsumed by 399 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 402 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.19/0.55 Following clause subsumed by 403 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.55 Following clause subsumed by 407 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))).
% 0.19/0.55 Following clause subsumed by 406 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B))).
% 0.19/0.55 Following clause subsumed by 425 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C),D)).
% 0.19/0.55 Following clause subsumed by 430 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))).
% 0.19/0.55 Following clause subsumed by 428 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),c_Groups_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.19/0.55 Following clause subsumed by 428 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),c_Groups_Ozero__class_Ozero(A))).
% 0.19/0.55 Following clause subsumed by 427 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),c_Groups_Ozero__class_Ozero(A)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),c_Groups_Ozero__class_Ozero(A))).
% 0.19/0.55 Following clause subsumed by 454 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.19/0.55 Following clause subsumed by 79 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),hAPP(c_Nat_OSuc,A)))|B!=A.
% 0.19/0.55 Following clause subsumed by 475 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 477 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 478 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),hAPP(c_Nat_OSuc,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 477 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.19/0.55 Following clause subsumed by 475 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,A)),B)).
% 0.19/0.55 Following clause subsumed by 415 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.55 Following clause subsumed by 509 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.19/0.55 Following clause subsumed by 510 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 0.19/0.55 Following clause subsumed by 415 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.55 Following clause subsumed by 416 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.19/0.55 Following clause subsumed by 523 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.55 Following clause subsumed by 415 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.55 Following clause subsumed by 400 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.19/0.55 Following clause subsumed by 571 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|B=C.
% 0.19/0.55 Following clause subsumed by 571 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|C=B.
% 0.19/0.55 Following clause subsumed by 569 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.19/0.55 Following clause subsumed by 571 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.19/0.55 Following clause subsumed by 568 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.19/0.55 Following clause subsumed by 569 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C),D))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E)),hAPP(D,E))).
% 0.19/0.55 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|B=C.
% 0.19/0.55 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.19/0.55 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|C=B.
% 0.19/0.55 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B))|C!=B.
% 0.19/0.55 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 587 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.19/0.55 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 588 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 583 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C.
% 0.19/0.55 Following clause subsumed by 584 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.19/0.55 Following clause subsumed by 602 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C)).
% 0.19/0.55 Following clause subsumed by 604 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.19/0.55 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.19/0.55 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B=C.
% 0.19/0.55 Following clause subsumed by 579 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.19/0.55 Following clause subsumed by 605 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.19/0.55 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.19/0.55 Following clause subsumed by 587 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|B!=C.
% 0.19/0.55 Following clause subsumed by 603 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C.
% 0.19/0.55 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 606 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),B)).
% 0.19/0.55 Following clause subsumed by 608 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.19/0.55 Following clause subsumed by 606 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.19/0.55 Following clause subsumed by 412 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 0.19/0.55 Following clause subsumed by 622 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 623 during input processing: 0 [flip.2] {-} -class_Groups_Olinordered__ab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 0.19/0.55 Following clause subsumed by 629 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.19/0.55 Following clause subsumed by 630 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.19/0.55 Following clause subsumed by 632 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.19/0.55 Following clause subsumed by 635 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),B)).
% 0.19/0.55 Following clause subsumed by 636 during input processing: 0 [] {-} -class_Groups_Oordered__ab__group__add(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(A,C),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.19/0.55 Following clause subsumed by 637 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),C)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.19/0.55 Following clause subsumed by 638 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Groups_Ouminus__class_Ouminus(A),C))=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 0.19/0.55 Following clause subsumed by 654 during input processing: 0 [] {-} -class_Groups_Oab__group__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_OpCons(A),B),C))=hAPP(hAPP(c_Polynomial_OpCons(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),B)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(A)),C)).
% 0.19/0.55 Following clause subsumed by 658 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|hAPP(c_Groups_Ouminus__class_Ouminus(A),B)=C|hAPP(c_Groups_Ouminus__class_Ouminus(A),C)!=B.
% 0.19/0.55 Following clause subsumed by 659 during input processing: 0 [] {-} -class_Groups_Ogroup__add(A)|B=hAPP(c_Groups_Ouminus__class_Ouminus(A),C)|C!=hAPP(c_Groups_Ouminus__class_Ouminus(A),B).
% 0.19/0.55 Following clause subsumed by 705 during input processing: 0 [] {-} -class_Rings_Oidom(A)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_OpCons(A),hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(hAPP(c_Polynomial_OpCons(A),c_Groups_Oone__class_Oone(A)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))),hAPP(c_Nat_OSuc,c_Polynomial_Oorder(A,C,B)))),B)).
% 0.19/0.55 Following clause subsumed by 738 during input processing: 0 [] {-} -class_Fields_Ofield(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),B),hAPP(hAPP(c_Polynomial_Osmult(A),C),D)))|C=c_Groups_Ozero__class_Ozero(A)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),B),D)).
% 0.19/0.55 Following clause subsumed by 740 during input processing: 0 [] {-} -class_Fields_Ofield(A)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),hAPP(hAPP(c_Polynomial_Osmult(A),B),C)),D))|B=c_Groups_Ozero__class_Ozero(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(A)),C),D)).
% 0.19/0.55 Following clause subsumed by 745 during input processing: 0 [] {-} -class_Lattices_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)=B.
% 0.19/0.55 Following clause subsumed by 749 during input processing: 0 [] {-} -class_Groups_Ouminus(A)|hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(B,A)),C),D)=hAPP(c_Groups_Ouminus__class_Ouminus(A),hAPP(C,D)).
% 0.19/0.56 Following clause subsumed by 707 during input processing: 0 [] {-} -class_Lattices_Oboolean__algebra(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,hAPP(c_Groups_Ouminus__class_Ouminus(A),C)),hAPP(c_Groups_Ouminus__class_Ouminus(A),B))).
% 0.19/0.56 Following clause subsumed by 774 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)| -hBOOL(hAPP(B,C))|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(A,B))).
% 0.19/0.56 Following clause subsumed by 769 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)))|A=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),B),C)).
% 0.19/0.56 Following clause subsumed by 786 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 0.19/0.56 Following clause subsumed by 791 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C)).
% 0.19/0.56 Following clause subsumed by 802 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),C),B)))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.19/0.56 Following clause subsumed by 805 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A!=B.
% 0.19/0.56 Following clause subsumed by 806 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 0.19/0.56 Following clause subsumed by 805 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B)).
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B=A.
% 0.19/0.56 Following clause subsumed by 805 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=A.
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|A=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A)).
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.19/0.56 Following clause subsumed by 807 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A=B.
% 0.19/0.56 Following clause subsumed by 808 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 809 during input processing: 0 [] {-} A!=B| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.19/0.56 Following clause subsumed by 806 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 0.19/0.56 Following clause subsumed by 806 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|A!=B.
% 0.19/0.56 Following clause subsumed by 805 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=A.
% 0.19/0.56 Following clause subsumed by 809 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=C|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 808 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))|B!=C| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),C)).
% 0.19/0.56 Following clause subsumed by 810 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),A),B))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),A))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),B))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),C),A)).
% 0.19/0.56 Following clause subsumed by 804 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),B),A)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),C),A)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),B),C)).
% 0.19/0.56 Following clause subsumed by 828 during input processing: 0 [] {-} -class_Groups_Ominus(A)|hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(B,A)),C),D),E)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(C,E)),hAPP(D,E)).
% 0.19/0.56 Following clause subsumed by 843 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.19/0.56 Following clause subsumed by 845 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D)).
% 0.19/0.56 Following clause subsumed by 860 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.19/0.56 Following clause subsumed by 872 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 0.19/0.56 Following clause subsumed by 880 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C)).
% 0.19/0.56 Following clause subsumed by 886 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.56 Following clause subsumed by 890 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)!=hAPP(c_Int_Onat,B)|A=B.
% 0.19/0.56 Following clause subsumed by 891 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,A)=hAPP(c_Int_Onat,B)|A!=B.
% 0.19/0.56 Following clause subsumed by 923 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 0.19/0.56 Following clause subsumed by 924 during input processing: 0 [] {-} -class_Rings_Ocomm__ring(A)| -class_Rings_Odvd(A)| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),C))|hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E)))| -hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),C))),E))).
% 0.19/0.57 Following clause subsumed by 925 during input processing: 0 [] {-} hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.19/0.57 Following clause subsumed by 928 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.19/0.57 Following clause subsumed by 935 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),C))|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.19/0.57 Following clause subsumed by 936 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 0.19/0.57 Following clause subsumed by 930 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.19/0.57 Following clause subsumed by 930 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B)).
% 0.19/0.57 Following clause subsumed by 966 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)).
% 0.19/0.57 Following clause subsumed by 973 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.19/0.57 Following clause subsumed by 28 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.57 Following clause subsumed by 979 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,A)),B)=hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 0.19/0.57 Following clause subsumed by 1009 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B))|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),A)=c_Nat__Transfer_Otsub(B,A).
% 0.19/0.57 Following clause subsumed by 1018 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 0.19/0.57 Following clause subsumed by 1040 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.40/0.60 Following clause subsumed by 1055 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B)).
% 0.40/0.60 Following clause subsumed by 1050 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,A),B))|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.60 Following clause subsumed by 1051 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,B),A))|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.60 Following clause subsumed by 1138 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A))|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.60 Following clause subsumed by 1145 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A))|hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),A))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A).
% 0.40/0.60 Following clause subsumed by 1154 during input processing: 0 [flip.3] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B))|hAPP(c_Int_Onat,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 0.40/0.60 Following clause subsumed by 1149 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,C)))|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.40/0.60 66 back subsumes 31.
% 0.40/0.60 67 back subsumes 32.
% 0.40/0.60 Following clause subsumed by 69 during input processing: 0 [copy,68,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=hAPP(c_Nat_OSuc,A).
% 0.40/0.60 Following clause subsumed by 68 during input processing: 0 [copy,69,flip.1] {-} hAPP(c_Nat_OSuc,A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.40/0.60 79 back subsumes 78.
% 0.40/0.60 400 back subsumes 396.
% 0.40/0.60 400 back subsumes 390.
% 0.40/0.60 579 back subsumes 577.
% 0.40/0.60 757 back subsumes 704.
% 0.40/0.60 805 back subsumes 782.
% 0.40/0.60 805 back subsumes 771.
% 0.40/0.60 930 back subsumes 927.
% 0.40/0.60 961 back subsumes 960.
% 0.40/0.60 964 back subsumes 931.
% 0.40/0.60 965 back subsumes 932.
% 0.40/0.60 969 back subsumes 967.
% 0.40/0.60 986 back subsumes 326.
% 0.40/0.60 Following clause subsumed by 349 during input processing: 0 [copy,1330,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.40/0.60 1346 back subsumes 1341.
% 0.40/0.60 1431 back subsumes 1429.
% 0.40/0.60
% 0.40/0.60 ------------> process sos:
% 0.40/0.60 Following clause subsumed by 1485 during input processing: 0 [] {-} A=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,A),B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,B),A)).
% 0.40/0.60 Following clause subsumed by 1490 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.40/0.60 Following clause subsumed by 1539 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.40/0.60 Following clause subsumed by 1573 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.45/0.65 Following clause subsumed by 1593 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),A)).
% 0.45/0.65 Following clause subsumed by 1541 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,C)))|C=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,C),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 0.45/0.65 1485 back subsumes 1484.
% 0.45/0.65 Following clause subsumed by 1488 during input processing: 0 [copy,1488,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)).
% 0.45/0.65 Following clause subsumed by 1489 during input processing: 0 [copy,1489,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),A).
% 0.45/0.65 Following clause subsumed by 1830 during input processing: 0 [copy,1502,flip.1] {-} hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 0.45/0.65 Following clause subsumed by 1503 during input processing: 0 [copy,1503,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),A).
% 0.45/0.65 Following clause subsumed by 1516 during input processing: 0 [copy,1516,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),A).
% 0.45/0.65 Following clause subsumed by 1544 during input processing: 0 [copy,1544,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C)).
% 0.45/0.65 Following clause subsumed by 1545 during input processing: 0 [copy,1545,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),A).
% 0.45/0.65 1570 back subsumes 1422.
% 0.45/0.65 1572 back subsumes 1446.
% 0.45/0.65 1572 back subsumes 1045.
% 0.45/0.65 Following clause subsumed by 1830 during input processing: 0 [copy,1581,flip.1,demod,1637,1637] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 1598 back subsumes 1434.
% 0.45/0.65 Following clause subsumed by 1627 during input processing: 0 [copy,1627,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),C)),B).
% 0.45/0.65 Following clause subsumed by 1830 during input processing: 0 [copy,1639,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 1830 during input processing: 0 [copy,1659,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B).
% 0.45/0.65 Following clause subsumed by 1830 during input processing: 0 [copy,1830,flip.1] {-} A=A.
% 0.45/0.65 1830 back subsumes 1659.
% 0.45/0.65 1830 back subsumes 1639.
% 0.45/0.65 1830 back subsumes 1502.
% 0.45/0.65 1830 back subsumes 1453.
% 0.45/0.65 1830 back subsumes 1425.
% 0.45/0.65 1830 back subsumes 1424.
% 0.45/0.65 1830 back subsumes 1420.
% 0.45/0.65 1830 back subsumes 1419.
% 0.45/0.65 1830 back subsumes 1409.
% 0.45/0.65 1830 back subsumes 1406.
% 0.45/0.65 1830 back subsumes 1400.
% 0.45/0.65 1830 back subsumes 1399.
% 0.45/0.65 1830 back subsumes 1393.
% 0.45/0.65 1830 back subsumes 1392.
% 0.45/0.65 1830 back subsumes 1381.
% 0.45/0.65 1830 back subsumes 1297.
% 0.45/0.65 Following clause subsumed by 1477 during input processing: 0 [copy,1835,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.45/0.65 Following clause subsumed by 1481 during input processing: 0 [copy,1836,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,A)),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.45/0.65 Following clause subsumed by 1522 during input processing: 0 [copy,1846,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 0.45/0.65 Following clause subsumed by 1892 during input processing: 0 [copy,1887,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.45/0.65 Following clause subsumed by 1887 during input processing: 0 [copy,1892,flip.1] {-} c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),A)).
% 0.45/0.65 Following clause subsumed by 1589 during input processing: 0 [copy,1902,flip.1] {-} hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A)),A)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 0.45/0.65 Following clause subsumed by 1938 during input processing: 0 [copy,1903,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),A)=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 1618 during input processing: 0 [copy,1904,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 0.45/0.65 Following clause subsumed by 1626 during input processing: 0 [copy,1905,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C)).
% 0.45/0.65 Following clause subsumed by 1937 during input processing: 0 [copy,1906,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 1906 during input processing: 0 [copy,1937,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)).
% 0.45/0.65 Following clause subsumed by 1903 during input processing: 0 [copy,1938,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),A).
% 0.45/0.65 1952 back subsumes 1431.
% 0.45/0.65 Following clause subsumed by 2054 during input processing: 0 [copy,2053,flip.1] {-} hAPP(c_Nat_OSuc,A)!=hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.45/0.65 Following clause subsumed by 2053 during input processing: 0 [copy,2054,flip.1] {-} hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))!=hAPP(c_Nat_OSuc,A).
% 0.45/0.65 Following clause subsumed by 1641 during input processing: 0 [copy,2072,flip.1] {-} hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),hAPP(c_Nat_OSuc,B))=hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)).
% 0.45/0.65 Following clause subsumed by 1663 during input processing: 0 [copy,2075,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B),C)).
% 0.45/0.65 Following clause subsumed by 1672 during input processing: 0 [copy,2078,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),A),B).
% 0.45/0.65 Following clause subsumed by 1702 during input processing: 0 [copy,2079,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),B),C))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,B),C).
% 0.45/0.65 Following clause subsumed by 1821 during input processing: 0 [copy,2080,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(D,F),E).
% 0.45/0.65 Following clause subsumed by 1822 during input processing: 0 [copy,2081,flip.1] {-} hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 0.45/0.65 Following clause subsumed by 1914 during input processing: 0 [copy,2084,flip.1] {-} c_Int_Onat__aux(c_Groups_Oone__class_Oone(tc_Int_Oint),A)=hAPP(c_Nat_OSuc,A).
% 0.45/0.65
% 0.45/0.65 ======= end of input processing =======
% 0.45/0.66
% 0.45/0.66 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.66 bug in Otter. Please send copy of the input file to
% 0.45/0.66 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.66 using, and send any other info that might be useful.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.66 bug in Otter. Please send copy of the input file to
% 0.45/0.66 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.66 using, and send any other info that might be useful.
% 0.45/0.66
% 0.45/0.66
% 0.45/0.66 The job finished Sat Jun 4 13:55:21 2022
%------------------------------------------------------------------------------