TSTP Solution File: ALG351-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG351-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 : 300s
% DateTime : Wed Jul 27 12:46:34 EDT 2022
% Result : Unknown 70.47s 70.59s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG351-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 03:21:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 70.36/70.55 ----- Otter 3.3f, August 2004 -----
% 70.36/70.55 The process was started by sandbox2 on n017.cluster.edu,
% 70.36/70.55 Wed Jul 27 03:21:18 2022
% 70.36/70.55 The command was "./otter". The process ID is 17155.
% 70.36/70.55
% 70.36/70.55 set(prolog_style_variables).
% 70.36/70.55 set(auto).
% 70.36/70.55 dependent: set(auto1).
% 70.36/70.55 dependent: set(process_input).
% 70.36/70.55 dependent: clear(print_kept).
% 70.36/70.55 dependent: clear(print_new_demod).
% 70.36/70.55 dependent: clear(print_back_demod).
% 70.36/70.55 dependent: clear(print_back_sub).
% 70.36/70.55 dependent: set(control_memory).
% 70.36/70.55 dependent: assign(max_mem, 12000).
% 70.36/70.55 dependent: assign(pick_given_ratio, 4).
% 70.36/70.55 dependent: assign(stats_level, 1).
% 70.36/70.55 dependent: assign(max_seconds, 10800).
% 70.36/70.55 clear(print_given).
% 70.36/70.55
% 70.36/70.55 list(usable).
% 70.36/70.55 0 [] A=A.
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_RealVector_Onorm__class_Onorm(V_x,T_a).
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(V_a,T_a).
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__join(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__join(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)=c_Orderings_Oord__class_Omin(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_z,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(V_a,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_HOL_Oord__class_Oless(V_z,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,V_y,T_a)=c_Orderings_Oord__class_Omin(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a)=c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -c_HOL_Oord__class_Oless(v_y____,V_z,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_z)).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_lesse_quals(V_z,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)| -c_lesse_quals(V_z,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_z,T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_z,V_y,T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_lesse_quals(V_c,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_HOL_Oord__class_Oless(V_b,V_x,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a)=V_b.
% 70.36/70.55 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] c_NthRoot_Osqrt(V_x)!=c_NthRoot_Osqrt(V_y)|V_x=V_y.
% 70.36/70.55 0 [] c_Transcendental_Oexp(V_x,tc_RealDef_Oreal)!=c_Transcendental_Oexp(V_y,tc_RealDef_Oreal)|V_x=V_y.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a)=c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_HOL_Oord__class_Oless(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a)=c_Orderings_Oord__class_Omax(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omax(V_x,V_y,T_a)=c_Orderings_Oord__class_Omax(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)|V_y=V_z.
% 70.36/70.55 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 70.36/70.55 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 70.36/70.55 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)!=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)|V_b=V_c.
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)!=c_Orderings_Otop__class_Otop(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=c_Orderings_Obot__class_Obot(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=V_y.
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)=c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)|c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)=V_u.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a)=c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a)=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a)=c_HOL_Oabs__class_Oabs(V_a,T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a)=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_b,V_a,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_y,T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_z,T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(V_x,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_A=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Lattices_Obounded__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a)!=c_Orderings_Otop__class_Otop(T_a)|V_B=c_Orderings_Otop__class_Otop(T_a).
% 70.36/70.55 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 70.36/70.55 0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=V_y.
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=V_b.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Omin(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|V_a=V_b| -c_lesse_quals(V_b,V_a,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_lesse_quals(V_b,V_a,T_a)|V_a=V_b.
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a)|V_a=V_b.
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)|V_a=V_b| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Otop(T_a)|c_lesse_quals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__semigroup__add(T_a)|c_lesse_quals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(T_a)|c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)| -c_lesse_quals(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_x,T_a)|c_lesse_quals(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)| -c_lesse_quals(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)| -c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 70.36/70.55 0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_lesse_quals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)| -c_lesse_quals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 70.36/70.55 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)|V_x=V_y| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_x,V_y,tc_RealDef_Oreal)| -c_lesse_quals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_Transcendental_Oexp(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal)| -c_lesse_quals(V_x,V_y,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_x,V_r,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(v_y____,v_L____,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(v_y____,V_z,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_z)).
% 70.36/70.55 0 [] c_lesse_quals(V_z,v_y____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_z)).
% 70.36/70.55 0 [] c_lesse_quals(V_x,v_L____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_x)).
% 70.36/70.55 0 [] c_HOL_Oord__class_Oless(v_y____,v_L____,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)|c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] c_lesse_quals(V_w,V_w,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_i,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_j,V_k,tc_RealDef_Oreal)| -c_lesse_quals(V_i,V_j,tc_RealDef_Oreal).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 70.36/70.55 0 [] V_z=V_w| -c_lesse_quals(V_w,V_z,tc_RealDef_Oreal)| -c_lesse_quals(V_z,V_w,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),v_L____,tc_RealDef_Oreal).
% 70.36/70.55 0 [] c_lesse_quals(V_z,v_y____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,V_z)).
% 70.36/70.55 0 [] -c_lesse_quals(v_L____,v_y____,tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 70.36/70.55 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 70.36/70.55 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 70.36/70.55 0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 70.36/70.55 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 70.36/70.55 0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 70.36/70.55 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 70.36/70.55 0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 70.36/70.55 0 [] class_Orderings_Otop(tc_fun(T_2,T_1))| -class_Orderings_Otop(T_1).
% 70.36/70.55 0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 70.36/70.55 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 70.36/70.55 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 70.36/70.55 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 70.36/70.55 0 [] class_Lattices_Obounded__lattice(tc_bool).
% 70.36/70.55 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 70.36/70.55 0 [] class_Orderings_Opreorder(tc_bool).
% 70.36/70.55 0 [] class_Lattices_Olattice(tc_bool).
% 70.36/70.55 0 [] class_Orderings_Oorder(tc_bool).
% 70.36/70.55 0 [] class_Orderings_Otop(tc_bool).
% 70.36/70.55 0 [] class_Orderings_Obot(tc_bool).
% 70.36/70.55 0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Lattices_Oupper__semilattice(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Lattices_Olower__semilattice(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Lattices_Odistrib__lattice(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Lattices_Olattice(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 70.36/70.55 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 70.36/70.55 end_of_list.
% 70.36/70.55
% 70.36/70.55 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 70.36/70.55
% 70.36/70.55 This ia a non-Horn set with equality. The strategy will be
% 70.36/70.55 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 70.36/70.55 deletion, with positive clauses in sos and nonpositive
% 70.36/70.55 clauses in usable.
% 70.36/70.55
% 70.36/70.55 dependent: set(knuth_bendix).
% 70.36/70.55 dependent: set(anl_eq).
% 70.36/70.55 dependent: set(para_from).
% 70.36/70.55 dependent: set(para_into).
% 70.36/70.55 dependent: clear(para_from_right).
% 70.36/70.55 dependent: clear(para_into_right).
% 70.36/70.55 dependent: set(para_from_vars).
% 70.36/70.55 dependent: set(eq_units_both_ways).
% 70.36/70.55 dependent: set(dynamic_demod_all).
% 70.36/70.55 dependent: set(dynamic_demod).
% 70.36/70.55 dependent: set(order_eq).
% 70.36/70.55 dependent: set(back_demod).
% 70.36/70.55 dependent: set(lrpo).
% 70.36/70.55 dependent: set(hyper_res).
% 70.36/70.55 dependent: set(unit_deletion).
% 70.36/70.55 dependent: set(factor).
% 70.36/70.55
% 70.36/70.55 ------------> process usable:
% 70.36/70.55 ** KEPT (pick-wt=11): 1 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_RealVector_Onorm__class_Onorm(B,A).
% 70.36/70.55 ** KEPT (pick-wt=11): 2 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(B,A),tc_RealDef_Oreal)=c_RealVector_Onorm__class_Onorm(B,A).
% 70.36/70.55 ** KEPT (pick-wt=15): 3 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 70.36/70.55 ** KEPT (pick-wt=18): 4 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 ** KEPT (pick-wt=26): 5 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(D,E,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(C,A),E,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(B,A),D,tc_RealDef_Oreal).
% 70.36/70.55 ** KEPT (pick-wt=18): 6 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(B,A),c_RealVector_Onorm__class_Onorm(C,A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 ** KEPT (pick-wt=14): 7 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 70.36/70.55 ** KEPT (pick-wt=8): 8 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=20): 10 [copy,9,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=20): 12 [copy,11,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=20): 14 [copy,13,flip.2] -class_OrderedGroup_Olordered__ab__group__add__join(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=20): 16 [copy,15,flip.2] -class_OrderedGroup_Olordered__ab__group__add__join(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=20): 18 [copy,17,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=20): 20 [copy,19,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=11): 21 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=14): 22 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omin(B,C,A),A)=c_Orderings_Oord__class_Omin(B,C,A).
% 70.36/70.55 ** KEPT (pick-wt=20): 23 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 24 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.55 ** KEPT (pick-wt=17): 25 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.55 ** KEPT (pick-wt=20): 26 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omax(C,D,A),A)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(B,C,A),c_Orderings_Oord__class_Omin(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=20): 27 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(B,C,A),D,A)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(B,D,A),c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 29 [copy,28,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 70.36/70.55 ** KEPT (pick-wt=10): 30 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(A),B,A)=c_Orderings_Obot__class_Obot(A).
% 70.36/70.55 ** KEPT (pick-wt=10): 31 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Obot__class_Obot(A),A)=c_Orderings_Obot__class_Obot(A).
% 70.36/70.55 ** KEPT (pick-wt=14): 32 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=17): 33 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 34 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 35 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 36 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=9): 37 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(A),B,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=9): 38 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Obot__class_Obot(A),A)=B.
% 70.36/70.55 ** KEPT (pick-wt=14): 39 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.55 ** KEPT (pick-wt=14): 40 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.55 ** KEPT (pick-wt=12): 42 [copy,41,flip.2] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 70.36/70.55 ** KEPT (pick-wt=9): 43 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(A),B,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=9): 44 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Orderings_Otop__class_Otop(A),A)=B.
% 70.36/70.55 ** KEPT (pick-wt=21): 45 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),A).
% 70.36/70.55 ** KEPT (pick-wt=8): 46 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,B,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=18): 47 [] -class_OrderedGroup_Olordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,c_HOL_Oabs__class_Oabs(D,A),A),A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=12): 48 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 70.36/70.55 ** KEPT (pick-wt=12): 49 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 70.36/70.55 ** KEPT (pick-wt=13): 50 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 70.36/70.55 Following clause subsumed by 50 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.55 Following clause subsumed by 50 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.55 Following clause subsumed by 50 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.55 ** KEPT (pick-wt=13): 51 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 70.36/70.55 ** KEPT (pick-wt=8): 52 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,B,A)=B.
% 70.36/70.55 ** KEPT (pick-wt=11): 53 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 70.36/70.55 ** KEPT (pick-wt=30): 54 [] -class_RealVector_Oreal__normed__vector(A)|c_lesse_quals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(B,D,A),A),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(C,E,A),A),tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.55 ** KEPT (pick-wt=14): 55 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.55 ** KEPT (pick-wt=17): 56 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 57 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 59 [copy,58,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 60 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 61 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.55 Following clause subsumed by 59 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 62 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 70.36/70.55 ** KEPT (pick-wt=17): 63 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 70.36/70.55 Following clause subsumed by 59 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=18): 64 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 70.36/70.55 ** KEPT (pick-wt=14): 65 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 70.36/70.55 ** KEPT (pick-wt=14): 66 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 70.36/70.55 ** KEPT (pick-wt=11): 67 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omax(B,C,A),A)=B.
% 70.36/70.55 ** KEPT (pick-wt=13): 69 [copy,68,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 70.36/70.55 ** KEPT (pick-wt=17): 70 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 71 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 72 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 70.36/70.55 ** KEPT (pick-wt=17): 73 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 74 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 75 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 76 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 77 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 Following clause subsumed by 76 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 Following clause subsumed by 77 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 78 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 79 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 80 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,C,A)=c_Orderings_Oord__class_Omin(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=23): 82 [copy,81,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 83 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 84 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 85 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 86 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.56 Following clause subsumed by 83 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 70.36/70.56 Following clause subsumed by 84 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=18): 87 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(B,C,A),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(D,B,A),A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 88 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 70.36/70.56 ** KEPT (pick-wt=13): 89 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 70.36/70.56 ** KEPT (pick-wt=17): 91 [copy,90,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 92 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 93 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 94 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 95 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=16): 96 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 97 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 98 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 99 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=10): 100 [] c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=17): 101 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(C,D,A),A)=c_Orderings_Oord__class_Omax(C,c_Orderings_Oord__class_Omax(B,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 102 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(B,C,A),D,A)=c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 103 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 104 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 70.36/70.56 ** KEPT (pick-wt=25): 105 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),D,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(C,D,A),B,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 106 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 70.36/70.56 Following clause subsumed by 106 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 70.36/70.56 Following clause subsumed by 106 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 70.36/70.56 ** KEPT (pick-wt=9): 107 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 70.36/70.56 Following clause subsumed by 106 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 70.36/70.56 ** KEPT (pick-wt=13): 108 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 109 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 110 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 111 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 70.36/70.56 Following clause subsumed by 111 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 112 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.56 Following clause subsumed by 112 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=8): 113 [] -c_HOL_Oord__class_Oless(v_y____,A,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 70.36/70.56 ** KEPT (pick-wt=14): 114 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 115 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_lesse_quals(D,C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 116 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_lesse_quals(E,D,A)| -c_lesse_quals(B,c_HOL_Oplus__class_Oplus(C,E,A),A).
% 70.36/70.56 ** KEPT (pick-wt=14): 117 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 118 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 119 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=B| -c_lesse_quals(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 120 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=C|c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 121 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=C| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 122 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 123 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 124 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 125 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 126 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 127 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 128 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 127 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 Following clause subsumed by 128 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,D,A),A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 125 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(D,B,A),C,A).
% 70.36/70.56 Following clause subsumed by 126 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 129 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(D,C,A)| -c_lesse_quals(c_Orderings_Oord__class_Omin(D,B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=8): 130 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,c_HOL_Oabs__class_Oabs(B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 131 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 132 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 133 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 134 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 Following clause subsumed by 133 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 70.36/70.56 Following clause subsumed by 134 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 Following clause subsumed by 131 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omin(D,C,A),A).
% 70.36/70.56 Following clause subsumed by 132 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 135 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(B,D,A)| -c_lesse_quals(B,c_Orderings_Oord__class_Omax(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 136 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_lesse_quals(C,E,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 137 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=B| -c_lesse_quals(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 138 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)!=C|c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 139 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=C| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 140 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 141 [] -class_Lattices_Olower__semilattice(A)|c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=18): 142 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 143 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 144 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 70.36/70.56 ** KEPT (pick-wt=20): 145 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 146 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=9): 148 [copy,147,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Orderings_Otop__class_Otop(A)=c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(A),A).
% 70.36/70.56 ** KEPT (pick-wt=8): 149 [] c_NthRoot_Osqrt(A)!=c_NthRoot_Osqrt(B)|A=B.
% 70.36/70.56 ** KEPT (pick-wt=10): 150 [] c_Transcendental_Oexp(A,tc_RealDef_Oreal)!=c_Transcendental_Oexp(B,tc_RealDef_Oreal)|A=B.
% 70.36/70.56 ** KEPT (pick-wt=19): 151 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 70.36/70.56 ** KEPT (pick-wt=19): 152 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 154 [copy,153,flip.2] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(B,C,A),c_Orderings_Oord__class_Omax(B,D,A),A)=c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 156 [copy,155,flip.2] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(B,C,A),c_Orderings_Oord__class_Omax(D,C,A),A)=c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=18): 157 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 158 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 159 [] -class_Lattices_Oupper__semilattice(A)|c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=15): 160 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=14): 161 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omax(B,C,A),A)=c_Orderings_Oord__class_Omax(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 163 [copy,162,flip.2] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 164 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omin(B,C,A),A)=B.
% 70.36/70.56 ** KEPT (pick-wt=17): 165 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 166 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=21): 167 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(B,C,A),c_Orderings_Oord__class_Omin(B,D,A),A),c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omax(C,D,A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=11): 168 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omax(B,C,A)=c_Orderings_Oord__class_Omax(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=23): 169 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 171 [copy,170,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 173 [copy,172,flip.2] -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 175 [copy,174,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 70.36/70.56 Following clause subsumed by 171 during input processing: 0 [flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 177 [copy,176,flip.2] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=18): 178 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 178 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 179 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 180 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 70.36/70.56 ** KEPT (pick-wt=14): 181 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 70.36/70.56 ** KEPT (pick-wt=14): 182 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 70.36/70.56 ** KEPT (pick-wt=14): 183 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 70.36/70.56 ** KEPT (pick-wt=12): 184 [] c_HOL_Oord__class_Oless(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=12): 185 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=11): 186 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=11): 187 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=21): 188 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)!=c_Orderings_Otop__class_Otop(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Obot__class_Obot(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 70.36/70.56 ** KEPT (pick-wt=21): 189 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A),c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 190 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(B,C,A),D,A)=c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omin(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 191 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,c_Orderings_Oord__class_Omin(C,D,A),A)=c_Orderings_Oord__class_Omin(C,c_Orderings_Oord__class_Omin(B,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 193 [copy,192,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 195 [copy,194,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 197 [copy,196,flip.2] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=20): 199 [copy,198,flip.2] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 201 [copy,200,flip.2] -class_OrderedGroup_Opordered__ab__group__add(A)|c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,C,A),A)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=20): 202 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=c_HOL_Oplus__class_Oplus(C,E,A)|c_HOL_Oplus__class_Oplus(B,D,A)=E.
% 70.36/70.56 ** KEPT (pick-wt=30): 203 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,D,A),A),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(C,E,A),A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=10): 204 [] c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(A),c_Transcendental_Oarctan(B),tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=20): 206 [copy,205,flip.2] -class_OrderedGroup_Opordered__ab__group__add(A)|c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,C,A),A)=c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 207 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_Orderings_Obot__class_Obot(A).
% 70.36/70.56 ** KEPT (pick-wt=11): 208 [] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_Orderings_Obot__class_Obot(A).
% 70.36/70.56 ** KEPT (pick-wt=11): 209 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(B,A),A)=c_HOL_Oabs__class_Oabs(B,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 210 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(A),B,A)=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=10): 211 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=11): 212 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 70.36/70.56 Following clause subsumed by 212 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 213 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 214 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oabs__class_Oabs(B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 215 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(B,c_Orderings_Oord__class_Omax(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=12): 216 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 217 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(D,B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 218 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|B=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=13): 219 [] -class_Lattices_Obounded__lattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=c_Orderings_Otop__class_Otop(A)|C=c_Orderings_Otop__class_Otop(A).
% 70.36/70.56 ** KEPT (pick-wt=9): 220 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(A),A)=c_Orderings_Obot__class_Obot(A).
% 70.36/70.56 ** KEPT (pick-wt=6): 221 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 70.36/70.56 ** KEPT (pick-wt=6): 222 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 70.36/70.56 ** KEPT (pick-wt=4): 223 [] -c_HOL_Oord__class_Oless(A,A,tc_RealDef_Oreal).
% 70.36/70.56 ** KEPT (pick-wt=6): 224 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 70.36/70.56 ** KEPT (pick-wt=11): 225 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 70.36/70.56 ** KEPT (pick-wt=20): 226 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 227 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 70.36/70.56 ** KEPT (pick-wt=13): 228 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 70.36/70.56 ** KEPT (pick-wt=18): 229 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=14): 230 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=14): 231 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 233 [copy,232,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=21): 234 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(B,A),c_HOL_Oabs__class_Oabs(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=8): 235 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 70.36/70.56 ** KEPT (pick-wt=16): 236 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=16): 237 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 238 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 239 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=16): 240 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 241 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=18): 242 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(B,C,A),A),D,A).
% 70.36/70.56 ** KEPT (pick-wt=21): 243 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,c_Orderings_Oord__class_Omin(C,D,A),A),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(B,C,A),c_Orderings_Oord__class_Omax(B,D,A),A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 245 [copy,244,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 246 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 247 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=10): 248 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.56 Following clause subsumed by 248 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 249 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=10): 250 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 251 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,C,A)=C| -c_lesse_quals(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 252 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,C,A)!=B|c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=12): 253 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Omin(B,C,A)=B| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=17): 254 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 Following clause subsumed by 254 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 255 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=9): 256 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 70.36/70.56 Following clause subsumed by 254 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 257 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A).
% 70.36/70.56 ** KEPT (pick-wt=9): 258 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 259 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 260 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 261 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 262 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 Following clause subsumed by 259 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 70.36/70.56 Following clause subsumed by 260 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=13): 263 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 263 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|C=B.
% 70.36/70.56 ** KEPT (pick-wt=13): 264 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 264 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C| -c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 265 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A)|B=C.
% 70.36/70.56 Following clause subsumed by 265 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 265 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 265 during input processing: 0 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)|B=C| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=19): 266 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 70.36/70.56 ** KEPT (pick-wt=19): 267 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 268 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 269 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 270 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=13): 271 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 268 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A).
% 70.36/70.56 Following clause subsumed by 269 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=7): 272 [] -class_Orderings_Otop(A)|c_lesse_quals(B,c_Orderings_Otop__class_Otop(A),A).
% 70.36/70.56 ** KEPT (pick-wt=17): 273 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 273 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 Following clause subsumed by 273 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 274 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 275 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 276 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),C,A).
% 70.36/70.56 ** KEPT (pick-wt=9): 277 [] -class_Lattices_Olattice(A)|c_lesse_quals(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),B,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 278 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 279 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,D,A),A).
% 70.36/70.56 ** KEPT (pick-wt=16): 280 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 70.36/70.56 ** KEPT (pick-wt=16): 281 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oplus__class_Oplus(D,B,A),c_HOL_Oplus__class_Oplus(D,C,A),A).
% 70.36/70.57 ** KEPT (pick-wt=16): 282 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)| -c_lesse_quals(B,D,A).
% 70.36/70.57 ** KEPT (pick-wt=16): 283 [] -class_OrderedGroup_Opordered__ab__semigroup__add(A)|c_lesse_quals(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)| -c_lesse_quals(C,D,A).
% 70.36/70.57 ** KEPT (pick-wt=7): 284 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 70.36/70.57 ** KEPT (pick-wt=17): 285 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.57 Following clause subsumed by 285 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.57 Following clause subsumed by 285 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omax(B,C,A),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 70.36/70.57 ** KEPT (pick-wt=9): 286 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(B,C,A),A).
% 70.36/70.57 ** KEPT (pick-wt=9): 287 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omax(C,B,A),A).
% 70.36/70.57 ** KEPT (pick-wt=14): 288 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.57 ** KEPT (pick-wt=14): 289 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,B,A).
% 70.36/70.57 ** KEPT (pick-wt=12): 290 [] -class_OrderedGroup_Opordered__ab__group__add__abs(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(B,A),C,A).
% 70.36/70.57 ** KEPT (pick-wt=17): 291 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.57 Following clause subsumed by 291 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.57 Following clause subsumed by 291 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Orderings_Oord__class_Omin(C,D,A),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 70.36/70.57 ** KEPT (pick-wt=9): 292 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),C,A).
% 70.36/70.57 ** KEPT (pick-wt=9): 293 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Orderings_Oord__class_Omin(B,C,A),B,A).
% 70.36/70.57 ** KEPT (pick-wt=10): 294 [] -class_Orderings_Opreorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.57 ** KEPT (pick-wt=10): 295 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 70.36/70.57 Following clause subsumed by 249 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,B,A)| -c_HOL_Oord__class_Oless(B,B,A).
% 70.36/70.57 Following clause subsumed by 295 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,B,A)|c_lesse_quals(B,B,A).
% 70.36/70.57 ** KEPT (pick-wt=10): 296 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_lesse_quals(C,B,A).
% 70.36/70.57 Following clause subsumed by 295 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.57 Following clause subsumed by 295 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_lesse_quals(C,B,A).
% 70.36/70.57 Following clause subsumed by 296 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_lesse_quals(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 70.36/70.57 ** KEPT (pick-wt=12): 297 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=C| -c_lesse_quals(C,B,A).
% 70.36/70.57 ** KEPT (pick-wt=12): 298 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)!=B|c_lesse_quals(B,C,A).
% 70.36/70.57 ** KEPT (pick-wt=12): 299 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=B| -c_lesse_quals(B,C,A).
% 70.36/70.57 ** KEPT (pick-wt=14): 300 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 70.36/70.57 Following clause subsumed by 300 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_lesse_quals(c_HOL_Ouminus__class_Ouminus(C,A),B,A).
% 70.36/70.57 ** KEPT (pick-wt=14): 301 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.57 Following clause subsumed by 301 during input processing: 0 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_lesse_quals(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_lesse_quals(C,c_HOL_Ouminus__class_Ouminus(B,A),A).
% 70.36/70.57 ** KEPT (pick-wt=8): 302 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=10): 303 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=10): 304 [] c_lesse_quals(c_NthRoot_Osqrt(A),c_NthRoot_Osqrt(B),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=11): 305 [] c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal)|A=B| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=14): 306 [] c_lesse_quals(c_HOL_Oplus__class_Oplus(A,B,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(A,C,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(B,C,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=12): 307 [] c_lesse_quals(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=12): 308 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_Transcendental_Oexp(A,tc_RealDef_Oreal),c_Transcendental_Oexp(B,tc_RealDef_Oreal),tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=10): 309 [] c_lesse_quals(c_Transcendental_Oarctan(A),c_Transcendental_Oarctan(B),tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=10): 310 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(c_HOL_Oabs__class_Oabs(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal).
% 70.36/70.57 Following clause subsumed by 113 during input processing: 0 [] c_HOL_Oord__class_Oless(v_y____,v_L____,tc_RealDef_Oreal)| -c_HOL_Oord__class_Oless(v_y____,A,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 70.36/70.57 ** KEPT (pick-wt=8): 311 [] c_lesse_quals(A,v_y____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 70.36/70.57 ** KEPT (pick-wt=8): 312 [] c_lesse_quals(A,v_L____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 70.36/70.57 ** KEPT (pick-wt=10): 313 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 70.36/70.57 ** KEPT (pick-wt=14): 314 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 70.36/70.57 ** KEPT (pick-wt=14): 315 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 70.36/70.57 ** KEPT (pick-wt=12): 316 [] c_lesse_quals(A,B,tc_RealDef_Oreal)| -c_lesse_quals(C,B,tc_RealDef_Oreal)| -c_lesse_quals(A,C,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=6): 317 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 70.36/70.57 ** KEPT (pick-wt=6): 318 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 70.36/70.57 ** KEPT (pick-wt=13): 319 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 70.36/70.57 Following clause subsumed by 319 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 70.36/70.57 Following clause subsumed by 319 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 70.36/70.57 ** KEPT (pick-wt=11): 320 [] A=B| -c_lesse_quals(B,A,tc_RealDef_Oreal)| -c_lesse_quals(A,B,tc_RealDef_Oreal).
% 70.36/70.57 Following clause subsumed by 311 during input processing: 0 [] c_lesse_quals(A,v_y____,tc_RealDef_Oreal)| -hBOOL(hAPP(v_P,A)).
% 70.36/70.57 ** KEPT (pick-wt=4): 321 [] -c_lesse_quals(v_L____,v_y____,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=6): 322 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 323 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 324 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 325 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 326 [] class_Lattices_Oboolean__algebra(tc_fun(A,B))| -class_Lattices_Oboolean__algebra(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 327 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 328 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 329 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 330 [] class_Orderings_Otop(tc_fun(A,B))| -class_Orderings_Otop(B).
% 70.36/70.57 ** KEPT (pick-wt=6): 331 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 70.36/70.57
% 70.36/70.57 ------------> process sos:
% 70.36/70.57 ** KEPT (pick-wt=3): 351 [] A=A.
% 70.36/70.57 ** KEPT (pick-wt=9): 352 [] c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(A,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(A,tc_RealDef_Oreal).
% 70.36/70.57 ---> New Demodulator: 353 [new_demod,352] c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(A,tc_RealDef_Oreal),tc_RealDef_Oreal)=c_Transcendental_Oexp(A,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=4): 354 [] c_HOL_Oord__class_Oless(v_y____,v_L____,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=8): 355 [] c_lesse_quals(A,B,tc_RealDef_Oreal)|c_lesse_quals(B,A,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=4): 356 [] c_lesse_quals(A,A,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=10): 357 [] c_Lubs_OisLub(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),c_Collect(v_P,tc_RealDef_Oreal),v_L____,tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 358 [] class_Lattices_Oupper__semilattice(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 359 [] class_Lattices_Olower__semilattice(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 360 [] class_Lattices_Odistrib__lattice(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 361 [] class_Lattices_Obounded__lattice(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 362 [] class_Lattices_Oboolean__algebra(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 363 [] class_Orderings_Opreorder(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 364 [] class_Lattices_Olattice(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 365 [] class_Orderings_Oorder(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 366 [] class_Orderings_Otop(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 367 [] class_Orderings_Obot(tc_bool).
% 70.36/70.57 ** KEPT (pick-wt=2): 368 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 369 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 370 [] class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 371 [] class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 372 [] class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 373 [] class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 374 [] class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 375 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 376 [] class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 377 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 378 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 379 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 380 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 381 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 382 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 383 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 384 [] class_Lattices_Oupper__semilattice(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 385 [] class_Lattices_Olower__semilattice(tc_RealDef_Oreal).
% 70.36/70.57 ** KEPT (pick-wt=2): 386 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 387 [] class_Lattices_Odistrib__lattice(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 388 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 389 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 390 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 391 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 392 [] class_Lattices_Olattice(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 393 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 70.47/70.59 ** KEPT (pick-wt=2): 394 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 70.47/70.59 Following clause subsumed by 351 during input processing: 0 [copy,351,flip.1] A=A.
% 70.47/70.59 351 back subsumes 350.
% 70.47/70.59 351 back subsumes 349.
% 70.47/70.59 351 back subsumes 336.
% 70.47/70.59 351 back subsumes 335.
% 70.47/70.59 >>>> Starting back demodulation with 353.
% 70.47/70.59
% 70.47/70.59 ======= end of input processing =======
% 70.47/70.59
% 70.47/70.59 =========== start of search ===========
% 70.47/70.59
% 70.47/70.59
% 70.47/70.59 Resetting weight limit to 2.
% 70.47/70.59
% 70.47/70.59
% 70.47/70.59 Resetting weight limit to 2.
% 70.47/70.59
% 70.47/70.59 sos_size=42
% 70.47/70.59
% 70.47/70.59 Search stopped because sos empty.
% 70.47/70.59
% 70.47/70.59
% 70.47/70.59 Search stopped because sos empty.
% 70.47/70.59
% 70.47/70.59 ============ end of search ============
% 70.47/70.59
% 70.47/70.59 -------------- statistics -------------
% 70.47/70.59 clauses given 43
% 70.47/70.59 clauses generated 1897
% 70.47/70.59 clauses kept 365
% 70.47/70.59 clauses forward subsumed 59
% 70.47/70.59 clauses back subsumed 4
% 70.47/70.59 Kbytes malloced 5859
% 70.47/70.59
% 70.47/70.59 ----------- times (seconds) -----------
% 70.47/70.59 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 70.47/70.59 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 70.47/70.59 wall-clock time 70 (0 hr, 1 min, 10 sec)
% 70.47/70.59
% 70.47/70.59 Process 17155 finished Wed Jul 27 03:22:28 2022
% 70.47/70.59 Otter interrupted
% 70.47/70.59 PROOF NOT FOUND
%------------------------------------------------------------------------------