TSTP Solution File: SWW197+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW197+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 01:26:20 EDT 2022
% Result : Unknown 0.45s 0.64s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW197+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 6 08:34:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 ----- Otter 3.2, August 2001 -----
% 0.18/0.51 The process was started by sandbox on n024.cluster.edu,
% 0.18/0.51 Mon Jun 6 08:34:50 2022
% 0.18/0.51 The command was "./sos". The process ID is 3636.
% 0.18/0.51
% 0.18/0.51 set(prolog_style_variables).
% 0.18/0.51 set(auto).
% 0.18/0.51 dependent: set(auto1).
% 0.18/0.51 dependent: set(process_input).
% 0.18/0.51 dependent: clear(print_kept).
% 0.18/0.51 dependent: clear(print_new_demod).
% 0.18/0.51 dependent: clear(print_back_demod).
% 0.18/0.51 dependent: clear(print_back_sub).
% 0.18/0.51 dependent: set(control_memory).
% 0.18/0.51 dependent: assign(max_mem, 12000).
% 0.18/0.51 dependent: assign(pick_given_ratio, 4).
% 0.18/0.51 dependent: assign(stats_level, 1).
% 0.18/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.51 dependent: assign(sos_limit, 5000).
% 0.18/0.51 dependent: assign(max_weight, 60).
% 0.18/0.51 clear(print_given).
% 0.18/0.51
% 0.18/0.51 formula_list(usable).
% 0.18/0.51
% 0.18/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.18/0.51
% 0.18/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.52 clauses in usable.
% 0.18/0.52
% 0.18/0.52 dependent: set(knuth_bendix).
% 0.18/0.52 dependent: set(para_from).
% 0.18/0.52 dependent: set(para_into).
% 0.18/0.52 dependent: clear(para_from_right).
% 0.18/0.52 dependent: clear(para_into_right).
% 0.18/0.52 dependent: set(para_from_vars).
% 0.18/0.52 dependent: set(eq_units_both_ways).
% 0.18/0.52 dependent: set(dynamic_demod_all).
% 0.18/0.52 dependent: set(dynamic_demod).
% 0.18/0.52 dependent: set(order_eq).
% 0.18/0.52 dependent: set(back_demod).
% 0.18/0.52 dependent: set(lrpo).
% 0.18/0.52 dependent: set(hyper_res).
% 0.18/0.52 dependent: set(unit_deletion).
% 0.18/0.52 dependent: set(factor).
% 0.18/0.52
% 0.18/0.52 ------------> process usable:
% 0.18/0.52 Following clause subsumed by 15 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -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))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.18/0.52 Following clause subsumed by 16 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),D)|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)).
% 0.18/0.52 Following clause subsumed by 35 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).
% 0.18/0.52 Following clause subsumed by 37 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).
% 0.18/0.52 Following clause subsumed by 66 during input processing: 0 [flip.2] {-} -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)).
% 0.18/0.52 Following clause subsumed by 71 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,B,c_Groups_Oplus__class_Oplus(A,C,D)).
% 0.18/0.52 Following clause subsumed by 79 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=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)).
% 0.18/0.52 Following clause subsumed by 78 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oplus__class_Oplus(A,B,C)),D)=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)).
% 0.18/0.52 Following clause subsumed by 74 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|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),E))!=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.18/0.52 Following clause subsumed by 75 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|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),E))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 0.18/0.52 Following clause subsumed by 76 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=c_Groups_Oplus__class_Oplus(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 0.18/0.52 Following clause subsumed by 80 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oplus__class_Oplus(A,C,D))=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)).
% 0.18/0.52 Following clause subsumed by 118 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).
% 0.18/0.52 Following clause subsumed by 120 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).
% 0.18/0.52 Following clause subsumed by 122 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).
% 0.18/0.52 Following clause subsumed by 150 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.18/0.52 Following clause subsumed by 151 during input processing: 0 [] {-} A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.18/0.52 Following clause subsumed by 152 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.18/0.52 Following clause subsumed by 158 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 157 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 159 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 159 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 157 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 158 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.18/0.52 Following clause subsumed by 169 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 0.18/0.52 Following clause subsumed by 171 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.18/0.52 Following clause subsumed by 176 during input processing: 0 [] {-} 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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 0.18/0.52 Following clause subsumed by 175 during input processing: 0 [] {-} 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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.18/0.52 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.18/0.52 Following clause subsumed by 23 during input processing: 0 [] {-} -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)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 25 during input processing: 0 [] {-} 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).
% 0.18/0.52 Following clause subsumed by 24 during input processing: 0 [] {-} 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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 149 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 148 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 0.18/0.52 Following clause subsumed by 177 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 102 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.18/0.52 Following clause subsumed by 197 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|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))| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.18/0.52 Following clause subsumed by 198 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|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))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.18/0.52 Following clause subsumed by 202 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 0.18/0.52 Following clause subsumed by 192 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 0.18/0.52 Following clause subsumed by 198 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 0.18/0.52 Following clause subsumed by 181 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -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))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.18/0.52 Following clause subsumed by 175 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.18/0.52 Following clause subsumed by 136 during input processing: 0 [] {-} -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.
% 0.18/0.52 Following clause subsumed by 233 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,D,C)|B=D.
% 0.18/0.52 Following clause subsumed by 235 during input processing: 0 [] {-} -class_Groups_Ocancel__semigroup__add(A)|c_Groups_Oplus__class_Oplus(A,B,C)!=c_Groups_Oplus__class_Oplus(A,B,D)|C=D.
% 0.18/0.52 Following clause subsumed by 249 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless(A,C,D).
% 0.18/0.52 Following clause subsumed by 250 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless(A,B,D).
% 0.18/0.52 Following clause subsumed by 135 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.
% 0.18/0.52 Following clause subsumed by 137 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).
% 0.18/0.52 Following clause subsumed by 136 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.
% 0.18/0.52 Following clause subsumed by 149 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.18/0.52 Following clause subsumed by 148 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.18/0.52 Following clause subsumed by 96 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.18/0.52 Following clause subsumed by 97 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.18/0.52 Following clause subsumed by 98 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.18/0.52 Following clause subsumed by 99 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.52 Following clause subsumed by 100 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))|B=c_Groups_Ozero__class_Ozero(A).
% 0.18/0.52 Following clause subsumed by 101 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 0.18/0.52 Following clause subsumed by 302 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,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.18/0.52 Following clause subsumed by 312 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C),A).
% 0.18/0.52 Following clause subsumed by 314 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B),A).
% 0.18/0.52 Following clause subsumed by 321 during input processing: 0 [] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.52 Following clause subsumed by 357 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ominus__class_Ominus(A,C,D))=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)).
% 0.18/0.52 Following clause subsumed by 358 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ominus__class_Ominus(A,B,C)),D)=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)).
% 0.18/0.52 Following clause subsumed by 359 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.18/0.52 Following clause subsumed by 366 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,D,C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),D)).
% 0.18/0.52 Following clause subsumed by 368 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C)),c_Groups_Oplus__class_Oplus(A,B,D)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),D)).
% 0.18/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.52 Following clause subsumed by 378 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.18/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.18/0.52 Following clause subsumed by 377 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|A!=B.
% 0.18/0.52 Following clause subsumed by 297 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.52 Following clause subsumed by 150 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.18/0.52 Following clause subsumed by 378 during input processing: 0 [] {-} 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.
% 0.18/0.52 Following clause subsumed by 381 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 0.18/0.52 Following clause subsumed by 379 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),B))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.18/0.52 Following clause subsumed by 299 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_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))).
% 0.18/0.52 Following clause subsumed by 298 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_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B))).
% 0.18/0.52 Following clause subsumed by 391 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),C)).
% 0.18/0.52 Following clause subsumed by 390 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)),C))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),C)).
% 0.18/0.52 Following clause subsumed by 397 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -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)).
% 0.18/0.52 Following clause subsumed by 428 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))).
% 0.18/0.52 Following clause subsumed by 426 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))).
% 0.18/0.52 Following clause subsumed by 426 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))).
% 0.18/0.52 Following clause subsumed by 425 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))).
% 0.18/0.52 Following clause subsumed by 452 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)),c_Groups_Oplus__class_Oplus(A,B,C))).
% 0.18/0.52 Following clause subsumed by 28 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.18/0.52 Following clause subsumed by 29 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.52 Following clause subsumed by 30 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__neq__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.52 Following clause subsumed by 511 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 0.18/0.52 Following clause subsumed by 512 during input processing: 0 [] {-} -hBOOL(hAPP(A,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,C)))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,D)|hBOOL(hAPP(A,D)).
% 0.18/0.52 Following clause subsumed by 523 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 0.18/0.52 Following clause subsumed by 523 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 0.18/0.52 Following clause subsumed by 527 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C).
% 0.18/0.52 Following clause subsumed by 526 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,C)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),B)).
% 0.18/0.52 Following clause subsumed by 392 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)).
% 0.18/0.52 Following clause subsumed by 393 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)).
% 0.18/0.52 Following clause subsumed by 529 during input processing: 0 [] {-} -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)).
% 0.18/0.52 Following clause subsumed by 393 during input processing: 0 [] {-} -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)).
% 0.18/0.52 Following clause subsumed by 23 during input processing: 0 [] {-} -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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 25 during input processing: 0 [] {-} 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.18/0.52 Following clause subsumed by 24 during input processing: 0 [] {-} 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),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.18/0.52 Following clause subsumed by 48 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Oone__class_Oone(A).
% 0.18/0.53 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Groups_Ozero__class_Ozero(A).
% 0.18/0.53 Following clause subsumed by 103 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)).
% 0.18/0.53 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.18/0.53 Following clause subsumed by 105 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C)),c_Groups_Ozero__class_Ozero(A))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,C))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 0.18/0.53 Following clause subsumed by 139 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).
% 0.18/0.53 Following clause subsumed by 568 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)).
% 0.18/0.53 Following clause subsumed by 377 during input processing: 0 [] {-} A!=B|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.53 Following clause subsumed by 596 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))).
% 0.18/0.53 Following clause subsumed by 601 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.
% 0.18/0.53 Following clause subsumed by 599 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.
% 0.18/0.53 Following clause subsumed by 601 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.
% 0.18/0.53 Following clause subsumed by 601 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.
% 0.18/0.53 Following clause subsumed by 596 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))).
% 0.18/0.53 Following clause subsumed by 598 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)).
% 0.18/0.53 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 610 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 619 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.53 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 0.18/0.53 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 0.18/0.53 Following clause subsumed by 609 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 622 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.53 Following clause subsumed by 385 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B))|B!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C).
% 0.18/0.53 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 628 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 619 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.53 Following clause subsumed by 630 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.18/0.53 Following clause subsumed by 629 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.53 Following clause subsumed by 599 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B!=C.
% 0.18/0.53 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,C),B)).
% 0.18/0.53 Following clause subsumed by 627 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 630 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.53 Following clause subsumed by 628 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.18/0.53 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C)).
% 0.18/0.53 Following clause subsumed by 634 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.18/0.53 Following clause subsumed by 622 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.18/0.53 Following clause subsumed by 630 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.18/0.53 Following clause subsumed by 630 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.53 Following clause subsumed by 636 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,B),C))|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 0.18/0.53 Following clause subsumed by 667 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B))|c_Nat__Transfer_Otsub(B,A)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,B,A).
% 0.18/0.53 Following clause subsumed by 685 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B))).
% 0.18/0.53 Following clause subsumed by 688 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.18/0.53 Following clause subsumed by 689 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),B),hAPP(c_Nat_Osemiring__1__class_Oof__nat(A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.18/0.53 Following clause subsumed by 704 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.18/0.53 Following clause subsumed by 705 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.18/0.53 Following clause subsumed by 706 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.53 Following clause subsumed by 707 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A),B)).
% 0.18/0.53 Following clause subsumed by 733 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A=B.
% 0.18/0.53 Following clause subsumed by 734 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)|A!=B.
% 0.18/0.53 Following clause subsumed by 784 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B),c_RComplete_Onatfloor(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),B)),A)).
% 0.18/0.53 Following clause subsumed by 785 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),A))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(A)),B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A),hAPP(c_RealDef_Oreal(tc_Nat_Onat),B))).
% 0.18/0.53 Following clause subsumed by 817 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.
% 0.35/0.53 Following clause subsumed by 818 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.
% 0.35/0.53 Following clause subsumed by 825 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|hAPP(c_Int_Onat,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.35/0.53 Following clause subsumed by 827 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,B),hAPP(c_Int_Onat,A))|c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A).
% 0.35/0.53 Following clause subsumed by 828 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,B),hAPP(c_Int_Onat,A))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A).
% 0.35/0.53 Following clause subsumed by 831 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,A))=A.
% 0.35/0.53 Following clause subsumed by 827 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.35/0.53 Following clause subsumed by 827 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))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.35/0.54 Following clause subsumed by 839 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))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.35/0.54 Following clause subsumed by 860 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_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(c_Int_Onat,A),hAPP(c_Int_Onat,B)).
% 0.35/0.54 Following clause subsumed by 862 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(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,A)),hAPP(c_Int_Onat,B))=hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),A),B)).
% 0.35/0.54 Following clause subsumed by 832 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B)|A=hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B)).
% 0.35/0.54 Following clause subsumed by 833 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)!=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B))).
% 0.35/0.54 Following clause subsumed by 834 during input processing: 0 [] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)=c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B)|A!=hAPP(c_Int_Onat,c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Int_Oint,B))).
% 0.35/0.54 Following clause subsumed by 865 during input processing: 0 [] {-} -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)).
% 0.35/0.54 Following clause subsumed by 815 during input processing: 0 [] {-} -c_Nat__Numeral_Oneg(c_Int_Onumber__class_Onumber__of(tc_Int_Oint,A))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)).
% 0.35/0.54 Following clause subsumed by 896 during input processing: 0 [] {-} -class_Rings_Olinordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Oabs__class_Oabs(A,C)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)).
% 0.35/0.54 Following clause subsumed by 928 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.35/0.54 Following clause subsumed by 933 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.35/0.54 Following clause subsumed by 929 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 0.35/0.54 Following clause subsumed by 927 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.35/0.54 Following clause subsumed by 936 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(A)))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A)).
% 0.35/0.54 Following clause subsumed by 971 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(A,c_Int_OPls).
% 0.35/0.54 Following clause subsumed by 1003 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.35/0.54 Following clause subsumed by 510 during input processing: 0 [] {-} -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A)),C))|c_Orderings_Oord__class_Oless(A,B,C).
% 0.37/0.56 Following clause subsumed by 47 during input processing: 0 [] {-} -class_Rings_Oring__1__no__zero__divisors(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.56 Following clause subsumed by 1062 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A)),c_Int_OBit0(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1063 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1064 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A)),c_Int_OBit1(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1065 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1066 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A)),c_Int_OBit1(B)))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1067 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1074 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1075 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1076 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1077 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1078 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1079 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1080 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1081 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A),B)).
% 0.37/0.56 Following clause subsumed by 1082 during input processing: 0 [] {-} -hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A)),c_Int_OBit0(B)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 Following clause subsumed by 1083 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A)),c_Int_OBit0(B)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.37/0.56 66 back subsumes 64.
% 0.37/0.56 67 back subsumes 63.
% 0.37/0.56 310 back subsumes 309.
% 0.37/0.56 377 back subsumes 376.
% 0.37/0.56 500 back subsumes 498.
% 0.37/0.56 501 back subsumes 499.
% 0.37/0.56 523 back subsumes 400.
% 0.37/0.56 524 back subsumes 402.
% 0.37/0.56 526 back subsumes 524.
% 0.37/0.56 527 back subsumes 401.
% 0.37/0.56 539 back subsumes 409.
% 0.37/0.56 540 back subsumes 410.
% 0.37/0.56 541 back subsumes 411.
% 0.37/0.56 542 back subsumes 412.
% 0.37/0.56 543 back subsumes 413.
% 0.37/0.56 544 back subsumes 414.
% 0.37/0.56 549 back subsumes 48.
% 0.37/0.56 622 back subsumes 620.
% 0.37/0.56 627 back subsumes 296.
% 0.37/0.56 628 back subsumes 295.
% 0.37/0.56 842 back subsumes 829.
% 0.37/0.56 843 back subsumes 830.
% 0.37/0.56 1045 back subsumes 1032.
% 0.37/0.56 Following clause subsumed by 1073 during input processing: 0 [copy,1072,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.37/0.57 Following clause subsumed by 1072 during input processing: 0 [copy,1073,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.37/0.57 1188 back subsumes 1183.
% 0.37/0.57 1216 back subsumes 1213.
% 0.37/0.57 Following clause subsumed by 591 during input processing: 0 [copy,1238,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,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).
% 0.37/0.57 1271 back subsumes 1270.
% 0.37/0.57
% 0.37/0.57 ------------> process sos:
% 0.37/0.57 Following clause subsumed by 1339 during input processing: 0 [] {-} A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 0.37/0.57 Following clause subsumed by 1340 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.37/0.57 Following clause subsumed by 1340 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,A)|c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,B).
% 0.37/0.57 Following clause subsumed by 1341 during input processing: 0 [] {-} A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 0.37/0.57 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),A)).
% 0.37/0.57 Following clause subsumed by 1413 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))).
% 0.37/0.57 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(A))).
% 0.37/0.57 Following clause subsumed by 1454 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A))).
% 0.37/0.57 Following clause subsumed by 1465 during input processing: 0 [demod,1463] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.37/0.57 Following clause subsumed by 1475 during input processing: 0 [demod,1473] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 0.37/0.57 Following clause subsumed by 1358 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(A))).
% 0.37/0.57 Following clause subsumed by 1541 during input processing: 0 [demod,1539,1545] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.37/0.57 Following clause subsumed by 1490 during input processing: 0 [demod,1539] {-} c_Nat__Numeral_Oneg(A)|hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))=A.
% 0.37/0.57 Following clause subsumed by 1413 during input processing: 0 [] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls),c_Int_OPls)).
% 0.37/0.57 Following clause subsumed by 1541 during input processing: 0 [demod,1545,1583] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.37/0.57 Following clause subsumed by 1541 during input processing: 0 [demod,1545,1583] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.37/0.58 Following clause subsumed by 1413 during input processing: 0 [demod,1583,1436] {-} hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls),c_Int_OPls)).
% 0.37/0.58 Following clause subsumed by 1319 during input processing: 0 [demod,1615,1436,1539,1615] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 0.37/0.58 Following clause subsumed by 1541 during input processing: 0 [demod,1536,1539,1631,1578,1578] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 0.37/0.58 Following clause subsumed by 1541 during input processing: 0 [demod,1631,1578,1578,1536,1539] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 0.37/0.58 Following clause subsumed by 1470 during input processing: 0 [demod,1631,1578,1578,1436] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.37/0.58 Following clause subsumed by 1319 during input processing: 0 [copy,1319,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.37/0.58 Following clause subsumed by 1320 during input processing: 0 [copy,1320,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).
% 0.37/0.58 Following clause subsumed by 1321 during input processing: 0 [copy,1321,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,C)).
% 0.37/0.58 1339 back subsumes 1338.
% 0.37/0.58 Following clause subsumed by 1347 during input processing: 0 [copy,1347,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A).
% 0.37/0.58 Following clause subsumed by 1860 during input processing: 0 [copy,1353,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),C),B),D)).
% 0.37/0.58 Following clause subsumed by 1363 during input processing: 0 [copy,1363,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).
% 0.37/0.58 Following clause subsumed by 1371 during input processing: 0 [copy,1371,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,C),B).
% 0.37/0.58 1414 back subsumes 1285.
% 0.37/0.58 1414 back subsumes 1284.
% 0.37/0.58 1417 back subsumes 1171.
% 0.37/0.58 Following clause subsumed by 1422 during input processing: 0 [copy,1422,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,C)).
% 0.37/0.58 Following clause subsumed by 1423 during input processing: 0 [copy,1423,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.37/0.58 Following clause subsumed by 1860 during input processing: 0 [copy,1452,flip.1,demod,1583,1583] {-} c_Int_OPls=c_Int_OPls.
% 0.37/0.58 1454 back subsumes 1256.
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1459,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B),C))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B),C)).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1461,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B)).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1465,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),A),B)).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1470,flip.1] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1475,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),A)),B).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1499,flip.1] {-} c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal)=c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1519,flip.1] {-} hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))=hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B)).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1541,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1589,flip.1] {-} c_Int_OPls=c_Int_OPls.
% 0.37/0.62 Following clause subsumed by 1860 during input processing: 0 [copy,1860,flip.1] {-} A=A.
% 0.37/0.62 1860 back subsumes 1589.
% 0.37/0.62 1860 back subsumes 1541.
% 0.37/0.62 1860 back subsumes 1519.
% 0.37/0.62 1860 back subsumes 1499.
% 0.37/0.62 1860 back subsumes 1475.
% 0.37/0.62 1860 back subsumes 1470.
% 0.37/0.62 1860 back subsumes 1465.
% 0.37/0.62 1860 back subsumes 1461.
% 0.37/0.62 1860 back subsumes 1459.
% 0.37/0.62 1860 back subsumes 1353.
% 0.37/0.62 1860 back subsumes 1280.
% 0.37/0.62 1860 back subsumes 1279.
% 0.37/0.62 1860 back subsumes 1241.
% 0.37/0.62 1860 back subsumes 1240.
% 0.37/0.62 1860 back subsumes 1237.
% 0.37/0.62 1860 back subsumes 1236.
% 0.37/0.62 1860 back subsumes 1235.
% 0.37/0.62 1860 back subsumes 1169.
% 0.37/0.62 1860 back subsumes 1168.
% 0.37/0.62 1860 back subsumes 1121.
% 0.37/0.62 Following clause subsumed by 2090 during input processing: 0 [copy,1870,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.37/0.62 Following clause subsumed by 1381 during input processing: 0 [copy,1871,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),C)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.37/0.62 Following clause subsumed by 2085 during input processing: 0 [copy,1886,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.37/0.62 Following clause subsumed by 1479 during input processing: 0 [copy,1937,flip.1] {-} c_Complex_Oexpi(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,A,B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(A)),c_Complex_Oexpi(B)).
% 0.37/0.63 Following clause subsumed by 1529 during input processing: 0 [copy,1978,flip.1] {-} hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(A,B)),C)=c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),C)),B)).
% 0.37/0.63 Following clause subsumed by 1532 during input processing: 0 [copy,1979,flip.1] {-} hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(A,B)),c_Complex_Orcis(C,D))=c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,B,D)).
% 0.37/0.63 2026 back subsumes 1554.
% 0.37/0.63 2062 back subsumes 976.
% 0.37/0.63 Following clause subsumed by 1886 during input processing: 0 [copy,2085,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)).
% 0.37/0.63 Following clause subsumed by 1870 during input processing: 0 [copy,2090,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A).
% 0.37/0.63 Following clause subsumed by 1556 during input processing: 0 [copy,2208,flip.1] {-} c_Int_Onat__aux(A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),B).
% 0.37/0.63 Following clause subsumed by 2342 during input processing: 0 [copy,2341,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A))!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B).
% 0.37/0.63 Following clause subsumed by 2341 during input processing: 0 [copy,2342,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)).
% 0.37/0.63 Following clause subsumed by 1652 during input processing: 0 [copy,2382,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))).
% 0.37/0.63 Following clause subsumed by 1654 during input processing: 0 [copy,2383,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))).
% 0.37/0.63 Following clause subsumed by 1656 during input processing: 0 [copy,2384,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)))).
% 0.37/0.63 Following clause subsumed by 2386 during input processing: 0 [copy,2385,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint)))))).
% 0.37/0.63 Following clause subsumed by 2385 during input processing: 0 [copy,2386,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,c_Groups_Oone__class_Oone(tc_Int_Oint))))))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B))))).
% 0.37/0.63 2426 back subsumes 2414.
% 0.37/0.63 Following clause subsumed by 2360 during input processing: 0 [copy,2433,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,c_Groups_Oone__class_Oone(tc_Int_Oint)))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,A)).
% 0.37/0.63
% 0.37/0.63 ======= end of input processing =======
% 0.45/0.64
% 0.45/0.64 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.64 bug in Otter. Please send copy of the input file to
% 0.45/0.64 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.64 using, and send any other info that might be useful.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 SEGMENTATION FAULT!! This is probably caused by a
% 0.45/0.64 bug in Otter. Please send copy of the input file to
% 0.45/0.64 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.45/0.64 using, and send any other info that might be useful.
% 0.45/0.64
% 0.45/0.64
% 0.45/0.64 The job finished Mon Jun 6 08:34:50 2022
%------------------------------------------------------------------------------