TSTP Solution File: SWW239+1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWW239+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 01:26:24 EDT 2022
% Result : Unknown 0.46s 0.66s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW239+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 05:26:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.51 ----- Otter 3.2, August 2001 -----
% 0.19/0.51 The process was started by sandbox on n019.cluster.edu,
% 0.19/0.51 Mon Jun 6 05:26:10 2022
% 0.19/0.51 The command was "./sos". The process ID is 22571.
% 0.19/0.51
% 0.19/0.51 set(prolog_style_variables).
% 0.19/0.51 set(auto).
% 0.19/0.51 dependent: set(auto1).
% 0.19/0.51 dependent: set(process_input).
% 0.19/0.51 dependent: clear(print_kept).
% 0.19/0.51 dependent: clear(print_new_demod).
% 0.19/0.51 dependent: clear(print_back_demod).
% 0.19/0.51 dependent: clear(print_back_sub).
% 0.19/0.51 dependent: set(control_memory).
% 0.19/0.51 dependent: assign(max_mem, 12000).
% 0.19/0.51 dependent: assign(pick_given_ratio, 4).
% 0.19/0.51 dependent: assign(stats_level, 1).
% 0.19/0.51 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.51 dependent: assign(sos_limit, 5000).
% 0.19/0.51 dependent: assign(max_weight, 60).
% 0.19/0.51 clear(print_given).
% 0.19/0.51
% 0.19/0.51 formula_list(usable).
% 0.19/0.51
% 0.19/0.51 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.51
% 0.19/0.51 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.51 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.51 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.51 clauses in usable.
% 0.19/0.51
% 0.19/0.51 dependent: set(knuth_bendix).
% 0.19/0.51 dependent: set(para_from).
% 0.19/0.51 dependent: set(para_into).
% 0.19/0.51 dependent: clear(para_from_right).
% 0.19/0.51 dependent: clear(para_into_right).
% 0.19/0.51 dependent: set(para_from_vars).
% 0.19/0.51 dependent: set(eq_units_both_ways).
% 0.19/0.51 dependent: set(dynamic_demod_all).
% 0.19/0.51 dependent: set(dynamic_demod).
% 0.19/0.51 dependent: set(order_eq).
% 0.19/0.51 dependent: set(back_demod).
% 0.19/0.51 dependent: set(lrpo).
% 0.19/0.51 dependent: set(hyper_res).
% 0.19/0.51 dependent: set(unit_deletion).
% 0.19/0.51 dependent: set(factor).
% 0.19/0.51
% 0.19/0.51 ------------> process usable:
% 0.19/0.51 Following clause subsumed by 15 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 16 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit1(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 17 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 18 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit0(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 21 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 22 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.51 Following clause subsumed by 40 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Nat_OSuc(B)|A=B.
% 0.19/0.51 Following clause subsumed by 42 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=A.
% 0.19/0.51 Following clause subsumed by 52 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 52 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 52 during input processing: 0 [] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 52 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 52 during input processing: 0 [flip.1] {-} c_Nat_OSuc(A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 53 during input processing: 0 [flip.1] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.19/0.51 Following clause subsumed by 47 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 64 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=c_Nat_OSuc(B).
% 0.19/0.51 Following clause subsumed by 65 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 47 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=c_Nat_OSuc(B).
% 0.19/0.51 Following clause subsumed by 48 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)| -class_Rings_Oidom(A)|c_Polynomial_Opoly(A,B)!=c_Polynomial_Opoly(A,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.19/0.51 Following clause subsumed by 49 during input processing: 0 [] {-} -class_Int_Oring__char__0(A)| -class_Rings_Oidom(A)|c_Polynomial_Opoly(A,B)=c_Polynomial_Opoly(A,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.19/0.51 Following clause subsumed by 2 during input processing: 0 [] {-} -class_Groups_Ozero(A)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.19/0.51 Following clause subsumed by 72 during input processing: 0 [] {-} -class_Int_Onumber__ring(A)|c_Groups_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(A,c_Int_OPls).
% 0.19/0.51 Following clause subsumed by 88 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 0.19/0.51 Following clause subsumed by 90 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 0.19/0.51 Following clause subsumed by 89 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.51 Following clause subsumed by 92 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 92 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 92 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 101 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.51 Following clause subsumed by 91 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).
% 0.19/0.51 Following clause subsumed by 91 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.
% 0.19/0.51 Following clause subsumed by 91 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).
% 0.19/0.51 Following clause subsumed by 91 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.
% 0.19/0.51 Following clause subsumed by 91 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).
% 0.19/0.51 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 101 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.51 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.51 Following clause subsumed by 112 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.51 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 0.19/0.51 Following clause subsumed by 114 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.19/0.51 Following clause subsumed by 118 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.51 Following clause subsumed by 104 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 0.19/0.51 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 0.19/0.51 Following clause subsumed by 113 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 120 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 0.19/0.51 Following clause subsumed by 86 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.51 Following clause subsumed by 90 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).
% 0.19/0.51 Following clause subsumed by 86 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 0.19/0.51 Following clause subsumed by 87 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 128 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A=B.
% 0.19/0.51 Following clause subsumed by 130 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|A!=B.
% 0.19/0.51 Following clause subsumed by 129 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.19/0.51 Following clause subsumed by 128 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.19/0.51 Following clause subsumed by 131 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(A),c_Nat_OSuc(B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 89 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.51 Following clause subsumed by 137 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 0.19/0.51 Following clause subsumed by 136 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 47 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A!=B.
% 0.19/0.51 Following clause subsumed by 136 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 137 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 136 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 47 during input processing: 0 [] {-} A!=B|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))| -c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.51 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Int_Onumber(A)| -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C))|c_Orderings_Oord__class_Oless(A,c_Int_Onumber__class_Onumber__of(A,C),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.51 Following clause subsumed by 130 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.51 Following clause subsumed by 152 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 151 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 154 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.19/0.51 Following clause subsumed by 151 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B).
% 0.19/0.51 Following clause subsumed by 130 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,c_Nat_OSuc(A))|B!=A.
% 0.19/0.51 Following clause subsumed by 152 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(A),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 0.19/0.51 Following clause subsumed by 117 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__eq(A,B,C).
% 0.19/0.51 Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.51 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.51 Following clause subsumed by 117 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B)|C!=B.
% 0.19/0.51 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|B=C.
% 0.19/0.51 Following clause subsumed by 165 during input processing: 0 [] {-} -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__eq(A,B,C)| -c_Orderings_Oord__class_Oless__eq(A,C,B)|C=B.
% 0.19/0.52 Following clause subsumed by 161 during input processing: 0 [] {-} -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__eq(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__eq(A,hAPP(C,E),hAPP(D,E)).
% 0.19/0.52 Following clause subsumed by 163 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__eq(A,B,C)|c_Orderings_Oord__class_Oless__eq(A,C,B).
% 0.19/0.52 Following clause subsumed by 191 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).
% 0.19/0.52 Following clause subsumed by 192 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).
% 0.19/0.52 Following clause subsumed by 194 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).
% 0.19/0.52 Following clause subsumed by 195 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).
% 0.19/0.52 Following clause subsumed by 206 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).
% 0.19/0.52 Following clause subsumed by 207 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).
% 0.19/0.52 Following clause subsumed by 218 during input processing: 0 [] {-} -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).
% 0.19/0.52 Following clause subsumed by 219 during input processing: 0 [] {-} 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).
% 0.19/0.52 Following clause subsumed by 220 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.52 Following clause subsumed by 221 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OBit0(A),c_Int_OBit1(B))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,B).
% 0.19/0.52 Following clause subsumed by 232 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),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)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.52 Following clause subsumed by 234 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),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).
% 0.19/0.52 Following clause subsumed by 233 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Power_Opower__class_Opower(tc_Nat_Onat,A,B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.52 Following clause subsumed by 136 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B).
% 0.19/0.52 Following clause subsumed by 263 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_Int_Onumber__class_Onumber__of(A,c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,C))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,C)).
% 0.19/0.52 Following clause subsumed by 268 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)).
% 0.19/0.52 Following clause subsumed by 290 during input processing: 0 [] {-} 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)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 0.19/0.52 Following clause subsumed by 259 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)).
% 0.19/0.52 Following clause subsumed by 260 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)).
% 0.19/0.52 Following clause subsumed by 306 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C)|B!=C.
% 0.19/0.52 Following clause subsumed by 262 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,C)).
% 0.19/0.52 Following clause subsumed by 261 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,B)).
% 0.19/0.52 Following clause subsumed by 333 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.19/0.52 Following clause subsumed by 332 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B),C)|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 259 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).
% 0.19/0.52 Following clause subsumed by 260 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).
% 0.19/0.52 Following clause subsumed by 378 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),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).
% 0.19/0.52 Following clause subsumed by 377 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),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).
% 0.19/0.52 Following clause subsumed by 382 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 335 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Nat_OSuc(A),C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 402 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,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.19/0.52 Following clause subsumed by 401 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,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 0.19/0.52 Following clause subsumed by 335 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 334 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C).
% 0.19/0.52 Following clause subsumed by 420 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__eq(A,c_Power_Opower__class_Opower(A,B,C),c_Power_Opower__class_Opower(A,B,D))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,C,D).
% 0.19/0.52 Following clause subsumed by 396 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)|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).
% 0.19/0.52 Following clause subsumed by 397 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)|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).
% 0.19/0.52 Following clause subsumed by 432 during input processing: 0 [] {-} -class_Groups_Omonoid__mult(A)| -class_Int_Onumber(A)|c_Power_Opower__class_Opower(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))=c_Groups_Otimes__class_Otimes(A,c_Int_Onumber__class_Onumber__of(A,B),c_Int_Onumber__class_Onumber__of(A,B)).
% 0.19/0.52 Following clause subsumed by 412 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__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 335 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__eq(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B,C).
% 0.19/0.52 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),D)=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.19/0.52 Following clause subsumed by 480 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,B,c_Groups_Otimes__class_Otimes(A,C,c_Groups_Otimes__class_Otimes(A,D,E))).
% 0.19/0.52 Following clause subsumed by 478 during input processing: 0 [] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Otimes__class_Otimes(A,D,c_Groups_Otimes__class_Otimes(A,c_Groups_Otimes__class_Otimes(A,B,C),E)).
% 0.19/0.52 Following clause subsumed by 486 during input processing: 0 [] {-} -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)).
% 0.19/0.52 Following clause subsumed by 498 during input processing: 0 [] {-} -class_Rings_Ono__zero__divisors(A)|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).
% 0.19/0.52 Following clause subsumed by 506 during input processing: 0 [] {-} -class_Rings_Ozero__neq__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 0.19/0.52 Following clause subsumed by 512 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,D),C)=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,C)).
% 0.19/0.52 Following clause subsumed by 508 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))!=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|B=D|C=E.
% 0.19/0.52 Following clause subsumed by 509 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|B!=D.
% 0.19/0.52 Following clause subsumed by 510 during input processing: 0 [] {-} -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,E))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,E),c_Groups_Otimes__class_Otimes(A,D,C))|C!=E.
% 0.19/0.52 Following clause subsumed by 305 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)!=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=C.
% 0.19/0.52 Following clause subsumed by 307 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.19/0.52 Following clause subsumed by 306 during input processing: 0 [] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.19/0.52 Following clause subsumed by 524 during input processing: 0 [] {-} -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Otimes__class_Otimes(A,B,C)).
% 0.19/0.52 Following clause subsumed by 522 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 522 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 521 during input processing: 0 [] {-} -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.52 Following clause subsumed by 546 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,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.19/0.52 Following clause subsumed by 552 during input processing: 0 [] {-} -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,C,B),c_Groups_Ozero__class_Ozero(A)).
% 0.19/0.53 Following clause subsumed by 559 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 0.19/0.53 Following clause subsumed by 546 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 0.19/0.53 Following clause subsumed by 547 during input processing: 0 [] {-} -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,D,C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 0.19/0.53 Following clause subsumed by 584 during input processing: 0 [flip.2] {-} -class_Rings_Ocomm__semiring__1(A)|c_Power_Opower__class_Opower(A,B,c_Nat_OSuc(C))=c_Groups_Otimes__class_Otimes(A,B,c_Power_Opower__class_Opower(A,B,C)).
% 0.19/0.53 Following clause subsumed by 382 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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.53 Following clause subsumed by 377 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,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.19/0.53 Following clause subsumed by 306 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,C)|B!=C.
% 0.19/0.53 Following clause subsumed by 618 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 0.19/0.53 Following clause subsumed by 616 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 0.19/0.53 Following clause subsumed by 649 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.
% 0.19/0.53 Following clause subsumed by 651 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.
% 0.19/0.53 Following clause subsumed by 662 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,D,C))|c_Orderings_Oord__class_Oless__eq(A,B,D).
% 0.19/0.53 Following clause subsumed by 664 during input processing: 0 [] {-} -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Oplus__class_Oplus(A,B,C),c_Groups_Oplus__class_Oplus(A,B,D))|c_Orderings_Oord__class_Oless__eq(A,C,D).
% 0.19/0.53 Following clause subsumed by 669 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).
% 0.19/0.53 Following clause subsumed by 670 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).
% 0.36/0.53 Following clause subsumed by 682 during input processing: 0 [] {-} -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__eq(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oplus__class_Oplus(A,B,C)).
% 0.36/0.53 Following clause subsumed by 724 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,c_Divides_Odiv__class_Omod(A,C,D)),D)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,C),D).
% 0.36/0.53 Following clause subsumed by 728 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,c_Divides_Odiv__class_Omod(A,B,C),D),C)=c_Divides_Odiv__class_Omod(A,c_Groups_Oplus__class_Oplus(A,B,D),C).
% 0.36/0.53 Following clause subsumed by 730 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(A,c_Groups_Otimes__class_Otimes(A,c_Divides_Odiv__class_Omod(A,B,C),D),C)=c_Divides_Odiv__class_Omod(A,c_Groups_Otimes__class_Otimes(A,B,D),C).
% 0.36/0.53 Following clause subsumed by 748 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|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)).
% 0.36/0.53 Following clause subsumed by 758 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 0.36/0.53 Following clause subsumed by 786 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|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))| -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B,A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 0.36/0.53 Following clause subsumed by 781 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -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).
% 0.36/0.53 Following clause subsumed by 782 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -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).
% 0.36/0.53 Following clause subsumed by 799 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__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 0.36/0.53 Following clause subsumed by 753 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_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A),A).
% 0.36/0.53 Following clause subsumed by 801 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 0.36/0.53 Following clause subsumed by 754 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,A)).
% 0.36/0.53 Following clause subsumed by 958 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B).
% 0.36/0.54 Following clause subsumed by 959 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B)| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A).
% 0.36/0.54 Following clause subsumed by 960 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A)| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B).
% 0.36/0.54 Following clause subsumed by 961 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A)|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B).
% 0.36/0.54 Following clause subsumed by 963 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A).
% 0.36/0.54 Following clause subsumed by 962 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))| -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B).
% 0.36/0.54 Following clause subsumed by 964 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Power_Opower__class_Opower(tc_Int_Oint,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A).
% 0.36/0.54 Following clause subsumed by 1009 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))).
% 0.36/0.54 Following clause subsumed by 922 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B)=A.
% 0.36/0.54 Following clause subsumed by 1061 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.54 Following clause subsumed by 1078 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,C,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 0.36/0.54 Following clause subsumed by 1085 during input processing: 0 [flip.2] {-} -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).
% 0.36/0.54 Following clause subsumed by 1091 during input processing: 0 [flip.2] {-} -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).
% 0.36/0.54 Following clause subsumed by 938 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,B,A)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.36/0.54 Following clause subsumed by 1097 during input processing: 0 [flip.3] {-} -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,A)|c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B,A),A))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A).
% 0.36/0.54 Following clause subsumed by 1098 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))).
% 0.36/0.54 Following clause subsumed by 1099 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)).
% 0.37/0.56 Following clause subsumed by 1124 during input processing: 0 [] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=A.
% 0.37/0.56 Following clause subsumed by 303 during input processing: 0 [] {-} A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 0.37/0.56 Following clause subsumed by 1124 during input processing: 0 [flip.2] {-} -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A))|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,A).
% 0.37/0.56 Following clause subsumed by 1133 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.56 Following clause subsumed by 1134 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 0.37/0.56 Following clause subsumed by 1135 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,c_Groups_Oplus__class_Oplus(A,B,C),D)=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,D),c_Groups_Otimes__class_Otimes(A,C,D)).
% 0.37/0.56 Following clause subsumed by 1136 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Oplus__class_Oplus(A,C,D))=c_Groups_Oplus__class_Oplus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.37/0.56 Following clause subsumed by 1137 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_Groups_Otimes__class_Otimes(A,B,c_Groups_Ominus__class_Ominus(A,C,D))=c_Groups_Ominus__class_Ominus(A,c_Groups_Otimes__class_Otimes(A,B,C),c_Groups_Otimes__class_Otimes(A,B,D)).
% 0.37/0.56 Following clause subsumed by 55 during input processing: 0 [copy,54,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.37/0.56 Following clause subsumed by 54 during input processing: 0 [copy,55,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.37/0.56 104 back subsumes 102.
% 0.37/0.56 183 back subsumes 160.
% 0.37/0.56 227 back subsumes 174.
% 0.37/0.56 232 back subsumes 184.
% 0.37/0.56 233 back subsumes 185.
% 0.37/0.56 234 back subsumes 186.
% 0.37/0.56 238 back subsumes 178.
% 0.37/0.56 239 back subsumes 179.
% 0.37/0.56 240 back subsumes 180.
% 0.37/0.56 700 back subsumes 644.
% 0.37/0.56 701 back subsumes 643.
% 0.37/0.56 1069 back subsumes 1064.
% 0.37/0.56 Following clause subsumed by 274 during input processing: 0 [copy,1230,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).
% 0.37/0.56 1289 back subsumes 1284.
% 0.37/0.56
% 0.37/0.56 ------------> process sos:
% 0.37/0.56 Following clause subsumed by 1434 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.37/0.56 Following clause subsumed by 1434 during input processing: 0 [demod,1433,1438,1438] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.37/0.56 Following clause subsumed by 1455 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).
% 0.37/0.56 Following clause subsumed by 1455 during input processing: 0 [] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A)|hBOOL(hAPP(hAPP(C,B),A)).
% 0.37/0.56 Following clause subsumed by 1457 during input processing: 0 [demod,1429,1429] {-} A=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls),A).
% 0.37/0.56 Following clause subsumed by 1434 during input processing: 0 [demod,1433,1454,1433,1454] {-} c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_OPls,c_Int_OPls).
% 0.37/0.56 Following clause subsumed by 1493 during input processing: 0 [demod,1491] {-} A=A.
% 0.37/0.56 Following clause subsumed by 1508 during input processing: 0 [] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(A),B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Nat_OSuc(B)).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1454,1454,1454] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1475,1491,1491,1454] {-} c_Groups_Oone__class_Oone(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1495,1561,1495] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)).
% 0.37/0.57 Following clause subsumed by 1547 during input processing: 0 [demod,1569] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1454,1454,1454] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1429,1569,1482] {-} c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1583,1475,1491,1491] {-} 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)).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1473,1555] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B),D))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat,C,B),D)).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1630] {-} c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),C)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B),C).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1627] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,C).
% 0.37/0.57 Following clause subsumed by 1463 during input processing: 0 [demod,1433,1454,1433,1454,1433,1454] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,C)))|C=c_Int_OPls|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,C)|c_Orderings_Oord__class_Oless(tc_Int_Oint,C,c_Int_OPls).
% 0.37/0.57 Following clause subsumed by 1463 during input processing: 0 [demod,1433,1454,1433,1454,1433,1454] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Omod(tc_Int_Oint,B,C)))|C=c_Int_OPls|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_OPls,C)|c_Orderings_Oord__class_Oless(tc_Int_Oint,C,c_Int_OPls).
% 0.37/0.57 Following clause subsumed by 1768 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,A)|c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint,B).
% 0.37/0.57 Following clause subsumed by 1493 during input processing: 0 [demod,1569,1583,1555,1753,1569,1583] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,C,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B).
% 0.37/0.57 Following clause subsumed by 1816 during input processing: 0 [flip.2] {-} c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,B).
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [demod,1569,1583,1569,1583,1836] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,B).
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [demod,1569,1583,1583,1829] {-} A=A.
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [] {-} A=A.
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [copy,1420,flip.1,demod,1475,1491,1491,1495,1588,1475,1491,1491,1495,1588] {-} 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))).
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [copy,1431,flip.1] {-} c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.46/0.64 1439 back subsumes 1396.
% 0.46/0.64 Following clause subsumed by 1467 during input processing: 0 [copy,1467,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Nat_Onat,A,B)=c_Groups_Otimes__class_Otimes(tc_Nat_Onat,B,A).
% 0.46/0.64 Following clause subsumed by 1493 during input processing: 0 [copy,1493,flip.1] {-} A=A.
% 0.46/0.64 1493 back subsumes 1431.
% 0.46/0.64 1493 back subsumes 1399.
% 0.46/0.64 1493 back subsumes 1398.
% 0.46/0.64 1493 back subsumes 1348.
% 0.46/0.64 1493 back subsumes 1277.
% 0.46/0.64 1493 back subsumes 1225.
% 0.46/0.64 1493 back subsumes 1222.
% 0.46/0.64 1493 back subsumes 1218.
% 0.46/0.64 1493 back subsumes 1216.
% 0.46/0.64 1493 back subsumes 1214.
% 0.46/0.64 Following clause subsumed by 1547 during input processing: 0 [copy,1547,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,B)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,A).
% 0.46/0.64 1547 back subsumes 1546.
% 0.46/0.64 Following clause subsumed by 1548 during input processing: 0 [copy,1548,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,A).
% 0.46/0.64 Following clause subsumed by 1549 during input processing: 0 [copy,1549,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_Int_Oint,A,B)=c_Groups_Otimes__class_Otimes(tc_Int_Oint,B,A).
% 0.46/0.64 Following clause subsumed by 1550 during input processing: 0 [copy,1550,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)).
% 0.46/0.64 Following clause subsumed by 1551 during input processing: 0 [copy,1551,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)).
% 0.46/0.64 Following clause subsumed by 1598 during input processing: 0 [copy,1598,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B)=c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,B,A).
% 0.46/0.64 1794 back subsumes 1792.
% 0.46/0.64 1806 back subsumes 1804.
% 0.46/0.64 2415 back subsumes 2269.
% 0.46/0.64 Following clause subsumed by 2539 during input processing: 0 [copy,2538,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).
% 0.46/0.64 Following clause subsumed by 2538 during input processing: 0 [copy,2539,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)).
% 0.46/0.64 Following clause subsumed by 2579 during input processing: 0 [copy,2568,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))).
% 0.46/0.65 Following clause subsumed by 2584 during input processing: 0 [copy,2571,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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)),B))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 0.46/0.65 Following clause subsumed by 2578 during input processing: 0 [copy,2573,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)))).
% 0.46/0.65 Following clause subsumed by 2577 during input processing: 0 [copy,2574,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)))).
% 0.46/0.65 Following clause subsumed by 2574 during input processing: 0 [copy,2577,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,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,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,A,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B,B)))).
% 0.46/0.65 Following clause subsumed by 2573 during input processing: 0 [copy,2578,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,B,c_Groups_Oplus__class_Oplus(tc_Int_Oint,A,B))))=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)))).
% 0.46/0.65 Following clause subsumed by 2568 during input processing: 0 [copy,2579,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,A,B)))=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))).
% 0.46/0.65 Following clause subsumed by 2571 during input processing: 0 [copy,2584,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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,A,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)),B)).
% 0.46/0.65 2592 back subsumes 2466.
% 0.46/0.65 2606 back subsumes 2537.
% 0.46/0.65 2607 back subsumes 2536.
% 0.46/0.65 Following clause subsumed by 2643 during input processing: 0 [copy,2642,flip.1] {-} c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,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,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,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_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),A),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)))).
% 0.46/0.65 Following clause subsumed by 2642 during input processing: 0 [copy,2643,flip.1] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),A),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_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,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,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,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))))).
% 0.46/0.65 Following clause subsumed by 1604 during input processing: 0 [copy,2644,flip.1] {-} c_Power_Opower__class_Opower(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,A,B),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_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Power_Opower__class_Opower(tc_RealDef_Oreal,A,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_Power_Opower__class_Opower(tc_RealDef_Oreal,B,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_Otimes__class_Otimes(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,A,B))).
% 0.46/0.65 Following clause subsumed by 1728 during input processing: 0 [copy,2645,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,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).
% 0.46/0.65 Following clause subsumed by 2688 during input processing: 0 [copy,2654,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)).
% 0.46/0.65 Following clause subsumed by 2688 during input processing: 0 [copy,2655,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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))))),B)=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),B).
% 0.46/0.65 2655 back subsumes 2654.
% 0.46/0.65 Following clause subsumed by 2687 during input processing: 0 [copy,2656,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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_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_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)))).
% 0.46/0.65 Following clause subsumed by 2686 during input processing: 0 [copy,2657,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,B)).
% 0.46/0.65 Following clause subsumed by 2686 during input processing: 0 [copy,2658,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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))))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),B).
% 0.46/0.65 2658 back subsumes 2657.
% 0.46/0.65 Following clause subsumed by 2685 during input processing: 0 [copy,2659,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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_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_Divides_Odiv__class_Omod(tc_Nat_Onat,A,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B)))).
% 0.46/0.65 Following clause subsumed by 1827 during input processing: 0 [copy,2664,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).
% 0.46/0.65 Following clause subsumed by 1832 during input processing: 0 [copy,2665,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)).
% 0.46/0.65 Following clause subsumed by 1840 during input processing: 0 [copy,2666,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,A)=c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OPls).
% 0.46/0.65 Following clause subsumed by 1857 during input processing: 0 [copy,2681,flip.1] {-} c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,A,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),B).
% 0.46/0.65 Following clause subsumed by 2659 during input processing: 0 [copy,2685,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B))))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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_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)))))).
% 0.46/0.65 Following clause subsumed by 2658 during input processing: 0 [copy,2686,flip.1] {-} c_Divides_Odiv__class_Omod(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),B)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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))))),B).
% 0.46/0.65 Following clause subsumed by 2656 during input processing: 0 [copy,2687,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),B))))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B,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_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)))))).
% 0.46/0.65 Following clause subsumed by 2655 during input processing: 0 [copy,2688,flip.1] {-} c_Divides_Odiv__class_Odiv(tc_Nat_Onat,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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))),B)=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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))))),B).
% 0.46/0.65 Following clause subsumed by 2575 during input processing: 0 [copy,2689,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_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_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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A))).
% 0.46/0.65 Following clause subsumed by 2576 during input processing: 0 [copy,2690,flip.1] {-} c_Groups_Oplus__class_Oplus(tc_Nat_Onat,A,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_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),A)).
% 0.46/0.65 2695 back subsumes 2535.
% 0.46/0.65
% 0.46/0.65 ======= end of input processing =======
% 0.46/0.65
% 0.46/0.65 SEGMENTATION FAULT!! This is probably caused by a
% 0.46/0.65 bug in Otter. Please send copy of the input file to
% 0.46/0.65 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.46/0.65 using, and send any other info that might be useful.
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 SEGMENTATION FAULT!! This is probably caused by a
% 0.46/0.65 bug in Otter. Please send copy of the input file to
% 0.46/0.65 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.46/0.65 using, and send any other info that might be useful.
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 The job finished Mon Jun 6 05:26:10 2022
%------------------------------------------------------------------------------