TSTP Solution File: SWV584-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SWV584-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:39:33 EDT 2022
% Result : Unknown 0.61s 0.78s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV584-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : sos-script %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 19:44:26 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.44/0.62 ----- Otter 3.2, August 2001 -----
% 0.44/0.62 The process was started by sandbox on n006.cluster.edu,
% 0.44/0.62 Tue Jun 14 19:44:26 2022
% 0.44/0.62 The command was "./sos". The process ID is 15506.
% 0.44/0.62
% 0.44/0.62 set(prolog_style_variables).
% 0.44/0.62 set(auto).
% 0.44/0.62 dependent: set(auto1).
% 0.44/0.62 dependent: set(process_input).
% 0.44/0.62 dependent: clear(print_kept).
% 0.44/0.62 dependent: clear(print_new_demod).
% 0.44/0.62 dependent: clear(print_back_demod).
% 0.44/0.62 dependent: clear(print_back_sub).
% 0.44/0.62 dependent: set(control_memory).
% 0.44/0.62 dependent: assign(max_mem, 12000).
% 0.44/0.62 dependent: assign(pick_given_ratio, 4).
% 0.44/0.62 dependent: assign(stats_level, 1).
% 0.44/0.62 dependent: assign(pick_semantic_ratio, 3).
% 0.44/0.62 dependent: assign(sos_limit, 5000).
% 0.44/0.62 dependent: assign(max_weight, 60).
% 0.44/0.62 clear(print_given).
% 0.44/0.62
% 0.44/0.62 list(usable).
% 0.44/0.62
% 0.44/0.62 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 0.44/0.62
% 0.44/0.62 This ia a non-Horn set with equality. The strategy will be
% 0.44/0.62 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.44/0.62 unit deletion, with positive clauses in sos and nonpositive
% 0.44/0.62 clauses in usable.
% 0.44/0.62
% 0.44/0.62 dependent: set(knuth_bendix).
% 0.44/0.62 dependent: set(para_from).
% 0.44/0.62 dependent: set(para_into).
% 0.44/0.62 dependent: clear(para_from_right).
% 0.44/0.62 dependent: clear(para_into_right).
% 0.44/0.62 dependent: set(para_from_vars).
% 0.44/0.62 dependent: set(eq_units_both_ways).
% 0.44/0.62 dependent: set(dynamic_demod_all).
% 0.44/0.62 dependent: set(dynamic_demod).
% 0.44/0.62 dependent: set(order_eq).
% 0.44/0.62 dependent: set(back_demod).
% 0.44/0.62 dependent: set(lrpo).
% 0.44/0.62 dependent: set(hyper_res).
% 0.44/0.62 dependent: set(unit_deletion).
% 0.44/0.62 dependent: set(factor).
% 0.44/0.62
% 0.44/0.62 ------------> process usable:
% 0.44/0.62 Following clause subsumed by 22 during input processing: 0 [] {-} -class_Divides_Osemiring__div(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Odiv(B,C,A)),C)),c_Divides_Odiv__class_Omod(B,C,A))=B.
% 0.44/0.62 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 25 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.44/0.62 Following clause subsumed by 25 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.44/0.62 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_lessequals(B,A),C))|B=C.
% 0.44/0.62 Following clause subsumed by 26 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 27 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 35 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.44/0.62 Following clause subsumed by 48 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.44/0.62 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 80 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A)))| -hBOOL(hAPP(c_lessequals(B,A),D))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.44/0.62 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.44/0.62 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 110 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|C=B.
% 0.44/0.62 Following clause subsumed by 111 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -hBOOL(hAPP(c_lessequals(C,A),B))| -hBOOL(hAPP(c_lessequals(B,A),C)).
% 0.44/0.62 Following clause subsumed by 124 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(c_Finite__Set_Osetsum(B,C,A),D)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(D,C).
% 0.44/0.62 Following clause subsumed by 50 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.44/0.62 Following clause subsumed by 49 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.44/0.62 Following clause subsumed by 49 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.44/0.62 Following clause subsumed by 50 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.44/0.62 Following clause subsumed by 48 during input processing: 0 [] {-} -c_Parity_Oeven__odd__class_Oeven(A,tc_nat)| -c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 0.44/0.62 Following clause subsumed by 142 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(C,D,A))).
% 0.44/0.62 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A))).
% 0.44/0.62 Following clause subsumed by 163 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.44/0.62 Following clause subsumed by 166 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.44/0.62 Following clause subsumed by 151 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(A,D,E,B,F,G).
% 0.44/0.62 Following clause subsumed by 166 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(A,E,F,G,H,I).
% 0.44/0.62 Following clause subsumed by 169 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(A,D,E,F,G,H).
% 0.44/0.62 Following clause subsumed by 155 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=B| -c_Groebner__Basis_Ogb__semiring(D,A,E,B,F,G).
% 0.44/0.62 Following clause subsumed by 157 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=C| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,B,G).
% 0.44/0.63 Following clause subsumed by 163 during input processing: 0 [flip.1] {-} hAPP(hAPP(A,hAPP(hAPP(A,B),C)),D)=hAPP(hAPP(A,B),hAPP(hAPP(A,C),D))| -c_Groebner__Basis_Ogb__semiring(E,A,F,G,H,I).
% 0.44/0.63 Following clause subsumed by 153 during input processing: 0 [] {-} hAPP(hAPP(A,B),C)=hAPP(hAPP(A,C),B)| -c_Groebner__Basis_Ogb__semiring(D,A,E,F,G,H).
% 0.44/0.63 Following clause subsumed by 176 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 0.44/0.63 Following clause subsumed by 205 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),A))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.44/0.63 Following clause subsumed by 211 during input processing: 0 [] {-} -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 0.44/0.63 Following clause subsumed by 256 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.44/0.63 Following clause subsumed by 257 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 0.44/0.63 Following clause subsumed by 261 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.44/0.63 Following clause subsumed by 262 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),B)).
% 0.44/0.63 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.44/0.63 Following clause subsumed by 8 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.44/0.63 Following clause subsumed by 312 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__vector(A)|hBOOL(c_Series_Osummable(B,A))| -hBOOL(hAPP(c_Series_Osums(B,A),C)).
% 0.44/0.63 Following clause subsumed by 275 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 0.44/0.63 Following clause subsumed by 320 during input processing: 0 [] {-} c_Finite__Set_Ofinite(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A)| -c_Finite__Set_Ofinite(C,A).
% 0.44/0.63 Following clause subsumed by 336 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 0.44/0.63 Following clause subsumed by 239 during input processing: 0 [] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D).
% 0.44/0.63 Following clause subsumed by 376 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.44/0.63 Following clause subsumed by 297 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.44/0.63 Following clause subsumed by 297 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.44/0.63 Following clause subsumed by 387 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),B)).
% 0.44/0.63 Following clause subsumed by 388 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.44/0.63 Following clause subsumed by 374 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 0.44/0.63 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|hBOOL(hAPP(c_lessequals(B,A),B)).
% 0.44/0.63 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(c_lessequals(B,A),C))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.44/0.63 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|hBOOL(hAPP(c_lessequals(C,A),B)).
% 0.44/0.63 Following clause subsumed by 394 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.44/0.63 Following clause subsumed by 17 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_Divides_Odiv__class_Omod(C,D,A)),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.44/0.63 Following clause subsumed by 18 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),D,A).
% 0.44/0.63 Following clause subsumed by 410 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.44/0.63 Following clause subsumed by 464 during input processing: 0 [] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)))=A| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)).
% 0.44/0.63 Following clause subsumed by 468 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.44/0.63 Following clause subsumed by 477 during input processing: 0 [flip.2] {-} -hBOOL(hAPP(c_lessequals(A,tc_nat),B))|hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)),A)=B.
% 0.44/0.63 Following clause subsumed by 122 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))| -hBOOL(hAPP(c_lessequals(C,tc_nat),B)).
% 0.44/0.63 Following clause subsumed by 394 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(C,A)))| -hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),A),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.46/0.63 Following clause subsumed by 393 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|hBOOL(hAPP(c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),A),c_Int_Onumber__class_Onumber__of(C,A)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Int_Onumber__class_Onumber__of(C,A)),c_Int_Onumber__class_Onumber__of(B,A))).
% 0.46/0.63 Following clause subsumed by 44 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.46/0.63 Following clause subsumed by 423 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C))| -hBOOL(hAPP(c_lessequals(B,tc_nat),A)).
% 0.46/0.63 Following clause subsumed by 494 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.46/0.63 Following clause subsumed by 495 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),B)).
% 0.46/0.63 Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)).
% 0.46/0.63 Following clause subsumed by 542 during input processing: 0 [] {-} -class_Orderings_Owellorder(A)|hBOOL(hAPP(B,c_Orderings_Oord__class_OLeast(B,A)))| -hBOOL(hAPP(B,C)).
% 0.46/0.63 Following clause subsumed by 563 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.46/0.63 Following clause subsumed by 570 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.63 Following clause subsumed by 585 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 0.46/0.63 Following clause subsumed by 618 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(A,tc_bool))))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.46/0.63 Following clause subsumed by 624 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),c_Set_Oimage(B,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(E),C),D)).
% 0.46/0.63 Following clause subsumed by 624 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 0.46/0.63 Following clause subsumed by 624 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),C))|hBOOL(hAPP(hAPP(c_in(D),hAPP(E,B)),c_Set_Oimage(E,C,A,D))).
% 0.46/0.63 Following clause subsumed by 625 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.46/0.63 Following clause subsumed by 626 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.46/0.63 Following clause subsumed by 626 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(c_in(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)))).
% 0.46/0.63 Following clause subsumed by 626 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.46/0.64 Following clause subsumed by 185 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))))|B=c_HOL_Ozero__class_Ozero(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat).
% 0.46/0.64 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.46/0.64 Following clause subsumed by 649 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.46/0.64 Following clause subsumed by 318 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat).
% 0.46/0.64 Following clause subsumed by 649 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B))|c_Parity_Oeven__odd__class_Oeven(C,tc_nat)| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))).
% 0.46/0.64 Following clause subsumed by 651 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.46/0.64 Following clause subsumed by 224 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat)))).
% 0.46/0.64 Following clause subsumed by 680 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C)).
% 0.46/0.64 Following clause subsumed by 682 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.46/0.64 Following clause subsumed by 680 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 684 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),D),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 699 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C)).
% 0.46/0.64 Following clause subsumed by 709 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),C),D)))|hBOOL(hAPP(hAPP(c_in(A),B),D))| -hBOOL(hAPP(hAPP(c_in(A),B),C)).
% 0.46/0.64 Following clause subsumed by 718 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 0.46/0.64 Following clause subsumed by 728 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.46/0.64 Following clause subsumed by 730 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.46/0.64 Following clause subsumed by 739 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oone__class_Oone(A)),B)=B.
% 0.46/0.64 Following clause subsumed by 741 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 0.46/0.64 Following clause subsumed by 745 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 0.46/0.64 Following clause subsumed by 746 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.46/0.64 Following clause subsumed by 735 during input processing: 0 [flip.2] {-} -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Divides_Odiv__class_Omod(B,D,A)),C),D,A)=c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A).
% 0.46/0.64 Following clause subsumed by 86 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.46/0.64 Following clause subsumed by 406 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 405 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 29 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))))| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.46/0.64 Following clause subsumed by 279 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)))).
% 0.46/0.64 Following clause subsumed by 64 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))|c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(C,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(C,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.64 Following clause subsumed by 404 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)| -c_Parity_Oeven__odd__class_Oeven(c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat)),A),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 376 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.46/0.64 Following clause subsumed by 765 during input processing: 0 [] {-} hBOOL(hAPP(A,c_Divides_Odiv__class_Odiv(B,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))| -hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.46/0.64 Following clause subsumed by 766 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.46/0.64 Following clause subsumed by 773 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.64 Following clause subsumed by 783 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 801 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(C,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),B)).
% 0.46/0.64 Following clause subsumed by 802 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.64 Following clause subsumed by 802 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(B,A),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(A),A),C)).
% 0.46/0.65 Following clause subsumed by 828 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(hAPP(c_COMBB(A,A,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A),B)),C),A)| -c_SEQ_OZseq(C,A).
% 0.46/0.65 Following clause subsumed by 829 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hBOOL(c_Series_Osummable(hAPP(hAPP(c_COMBB(A,A,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A),B)),C),A))| -hBOOL(c_Series_Osummable(C,A)).
% 0.46/0.65 Following clause subsumed by 830 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hBOOL(hAPP(c_Series_Osums(hAPP(hAPP(c_COMBB(A,A,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A),B)),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)))| -hBOOL(hAPP(c_Series_Osums(C,A),D)).
% 0.46/0.65 Following clause subsumed by 565 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat))!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.65 Following clause subsumed by 831 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.46/0.65 Following clause subsumed by 831 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.46/0.65 Following clause subsumed by 621 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),c_Lattices_Olower__semilattice__class_Oinf(C,hAPP(c_Collect(A),D),tc_fun(A,tc_bool)))).
% 0.46/0.65 Following clause subsumed by 857 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B))).
% 0.46/0.65 Following clause subsumed by 858 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.46/0.65 Following clause subsumed by 464 during input processing: 0 [flip.1] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_Int_Onumber__class_Onumber__of(A,tc_nat)),c_HOL_Oone__class_Oone(tc_nat)))=c_Int_Onumber__class_Onumber__of(A,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Int_Onumber__class_Onumber__of(A,tc_nat))).
% 0.46/0.65 Following clause subsumed by 874 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,B)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.46/0.65 Following clause subsumed by 880 during input processing: 0 [] {-} hAPP(hAPP(A,B),hAPP(c_Suc,C))=hAPP(hAPP(D,B),hAPP(hAPP(A,B),C))| -c_Groebner__Basis_Ogb__semiring(E,D,A,F,G,H).
% 0.46/0.65 Following clause subsumed by 887 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(c_Suc,A)),hAPP(c_Suc,B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.46/0.65 Following clause subsumed by 892 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.46/0.65 Following clause subsumed by 893 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(A)),c_Int_OBit1(B))).
% 0.46/0.65 Following clause subsumed by 894 during input processing: 0 [flip.1] {-} c_Int_OPls!=c_Int_OMin.
% 0.46/0.65 Following clause subsumed by 377 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)).
% 0.46/0.65 Following clause subsumed by 896 during input processing: 0 [] {-} c_Int_OBit0(A)!=c_Int_OMin.
% 0.46/0.65 Following clause subsumed by 897 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B)).
% 0.46/0.65 Following clause subsumed by 898 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(A)),c_Int_OBit0(B))).
% 0.46/0.65 Following clause subsumed by 905 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),C))| -hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))).
% 0.46/0.65 Following clause subsumed by 926 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.46/0.65 Following clause subsumed by 926 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A),D))| -hBOOL(hAPP(c_lessequals(C,A),D))| -hBOOL(hAPP(c_lessequals(B,A),D)).
% 0.46/0.65 Following clause subsumed by 960 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C)).
% 0.46/0.65 Following clause subsumed by 959 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),C)).
% 0.46/0.65 Following clause subsumed by 960 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)).
% 0.46/0.65 Following clause subsumed by 1001 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.46/0.65 Following clause subsumed by 817 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 Following clause subsumed by 816 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))=c_HOL_Ozero__class_Ozero(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.65 Following clause subsumed by 1019 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),A),C)).
% 0.46/0.65 Following clause subsumed by 1020 during input processing: 0 [] {-} -class_Lattices_Oupper__semilattice(A)|hBOOL(hAPP(c_lessequals(B,A),C))| -hBOOL(hAPP(c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A),C)).
% 0.46/0.66 Following clause subsumed by 1047 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 0.46/0.66 Following clause subsumed by 1053 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)))| -hBOOL(hAPP(c_lessequals(B,tc_nat),C)).
% 0.46/0.66 Following clause subsumed by 1052 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)))| -hBOOL(hAPP(c_lessequals(A,tc_nat),C)).
% 0.46/0.66 Following clause subsumed by 1041 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|A=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.66 Following clause subsumed by 1043 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=c_HOL_Oone__class_Oone(tc_nat)|B=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.66 Following clause subsumed by 1059 during input processing: 0 [] {-} c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(B,C)| -c_Finite__Set_Ofinite(A,C).
% 0.46/0.66 Following clause subsumed by 752 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|c_Int_Onumber__class_Onumber__of(B,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,tc_nat))))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))).
% 0.46/0.66 Following clause subsumed by 1079 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OZseq(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B),tc_nat,A,A),C),A)| -c_SEQ_OZseq(B,A).
% 0.46/0.66 Following clause subsumed by 1082 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hBOOL(c_Series_Osummable(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B),tc_nat,A,A),C),A))| -hBOOL(c_Series_Osummable(B,A)).
% 0.46/0.66 Following clause subsumed by 1083 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hBOOL(hAPP(c_Series_Osums(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B),tc_nat,A,A),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)))| -hBOOL(hAPP(c_Series_Osums(B,A),D)).
% 0.46/0.66 Following clause subsumed by 1098 during input processing: 0 [] {-} c_Limits_Oeventually(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B),A,tc_bool,tc_bool),C),D,A)| -c_Limits_Oeventually(C,D,A)| -c_Limits_Oeventually(B,D,A).
% 0.46/0.66 Following clause subsumed by 1111 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(c_COMBC(hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C),B,A,A),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 0.46/0.66 Following clause subsumed by 1131 during input processing: 0 [] {-} -class_OrderedGroup_Omonoid__mult(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A)).
% 0.46/0.66 Following clause subsumed by 1150 during input processing: 0 [] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.66 Following clause subsumed by 1149 during input processing: 0 [flip.2] {-} -class_Int_Onumber__ring(A)|c_HOL_Ozero__class_Ozero(A)=c_Int_Onumber__class_Onumber__of(c_Int_OPls,A).
% 0.46/0.66 Following clause subsumed by 1156 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.69 Following clause subsumed by 1157 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.69 Following clause subsumed by 1155 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.69 Following clause subsumed by 1160 during input processing: 0 [] {-} hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 0.46/0.69 Following clause subsumed by 1161 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 0.46/0.69 Following clause subsumed by 1164 during input processing: 0 [] {-} c_Int_OBit1(A)!=c_Int_OPls.
% 0.46/0.69 Following clause subsumed by 1171 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.46/0.69 Following clause subsumed by 1171 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.46/0.69 Following clause subsumed by 1177 during input processing: 0 [flip.1] {-} hAPP(c_Suc,A)!=A.
% 0.46/0.69 Following clause subsumed by 1172 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.46/0.69 Following clause subsumed by 1171 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.46/0.69 Following clause subsumed by 1186 during input processing: 0 [] {-} -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.46/0.69 Following clause subsumed by 1194 during input processing: 0 [] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.46/0.69 Following clause subsumed by 1196 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 0.46/0.69 163 back subsumes 160.
% 0.46/0.69 164 back subsumes 161.
% 0.46/0.69 256 back subsumes 31.
% 0.46/0.69 257 back subsumes 30.
% 0.46/0.69 Following clause subsumed by 481 during input processing: 0 [copy,265,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.46/0.69 265 back subsumes 183.
% 0.46/0.69 274 back subsumes 28.
% 0.46/0.69 318 back subsumes 244.
% 0.46/0.69 338 back subsumes 76.
% 0.46/0.69 398 back subsumes 397.
% 0.46/0.69 410 back subsumes 198.
% 0.46/0.69 434 back subsumes 242.
% 0.46/0.69 474 back subsumes 428.
% 0.46/0.69 Following clause subsumed by 265 during input processing: 0 [copy,481,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.46/0.69 590 back subsumes 588.
% 0.46/0.69 591 back subsumes 589.
% 0.46/0.69 626 back subsumes 623.
% 0.46/0.69 649 back subsumes 245.
% 0.46/0.69 1053 back subsumes 973.
% 0.46/0.69 1053 back subsumes 904.
% 0.46/0.69 1054 back subsumes 976.
% 0.46/0.69 1054 back subsumes 961.
% 0.46/0.69 Following clause subsumed by 1194 during input processing: 0 [copy,1150,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 0.46/0.69 Following clause subsumed by 1210 during input processing: 0 [copy,1169,flip.1] {-} c_Int_OBit0(A)!=c_Int_OBit1(B).
% 0.46/0.69 Following clause subsumed by 1150 during input processing: 0 [copy,1194,flip.1] {-} hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.46/0.69 Following clause subsumed by 1169 during input processing: 0 [copy,1210,flip.1] {-} c_Int_OBit1(A)!=c_Int_OBit0(B).
% 0.46/0.69 1361 back subsumes 1360.
% 0.46/0.69
% 0.46/0.70 ------------> process sos:
% 0.46/0.70 Following clause subsumed by 1429 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(A,tc_nat).
% 0.46/0.70 Following clause subsumed by 1440 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),C))|C=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),C),B)).
% 0.46/0.70 Following clause subsumed by 1440 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),B),A))|B=A.
% 0.46/0.70 Following clause subsumed by 1429 during input processing: 0 [] {-} c_Parity_Oeven__odd__class_Oeven(A,tc_nat)|c_Parity_Oeven__odd__class_Oeven(B,tc_nat)|c_Parity_Oeven__odd__class_Oeven(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.46/0.70 Following clause subsumed by 1484 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)))).
% 0.46/0.70 Following clause subsumed by 1517 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.46/0.70 Following clause subsumed by 1517 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))).
% 0.46/0.70 Following clause subsumed by 1555 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(A,tc_nat),A)).
% 0.46/0.70 Following clause subsumed by 1564 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.46/0.70 Following clause subsumed by 1564 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.46/0.70 Following clause subsumed by 1555 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.46/0.70 Following clause subsumed by 1590 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,A))).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1582] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1586] {-} hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1595,1595,1582] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1595,1491,1595,1595] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1613,1611] {-} hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 0.46/0.70 Following clause subsumed by 1618 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.46/0.70 Following clause subsumed by 1618 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(c_Suc,A))).
% 0.46/0.70 Following clause subsumed by 1555 during input processing: 0 [] {-} hBOOL(hAPP(c_lessequals(hAPP(c_Suc,A),tc_nat),hAPP(c_Suc,A))).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1624] {-} c_Int_OMin=c_Int_OMin.
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1635] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.46/0.70 Following clause subsumed by 1584 during input processing: 0 [demod,1641] {-} c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat)=c_Divides_Odiv__class_Omod(hAPP(c_Suc,hAPP(c_Suc,hAPP(c_Suc,A))),c_Int_Onumber__class_Onumber__of(B,tc_nat),tc_nat).
% 0.46/0.71 Following clause subsumed by 1680 during input processing: 0 [demod,1671,1671] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1678] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1733] {-} c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Oone__class_Oone(tc_nat).
% 0.46/0.71 Following clause subsumed by 1530 during input processing: 0 [demod,1665] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1647,1611,1491] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1647,1613,1488] {-} hAPP(c_Suc,hAPP(c_Suc,A))=hAPP(c_Suc,hAPP(c_Suc,A)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1647,1661,1678] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.46/0.71 Following clause subsumed by 1756 during input processing: 0 [demod,1754,1665] {-} c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),hAPP(c_Collect(A),C),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(hAPP(C,B)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1785,1602] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1793] {-} c_Int_OPls=c_Int_OPls.
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1602,1799,1602,1799] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1602,1802,1602,1802] {-} c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)=c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1602,1647,1796] {-} hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))=hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))).
% 0.46/0.71 Following clause subsumed by 1821 during input processing: 0 [] {-} hAPP(hAPP(c_COMBS(A,B,C,D),E),F)=hAPP(hAPP(A,F),hAPP(E,F)).
% 0.46/0.71 Following clause subsumed by 1820 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [demod,1819] {-} hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 0.46/0.71 Following clause subsumed by 1584 during input processing: 0 [] {-} A=A.
% 0.46/0.71 Following clause subsumed by 1451 during input processing: 0 [copy,1451,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.46/0.71 Following clause subsumed by 1518 during input processing: 0 [copy,1461,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C)=c_Set_Oinsert(B,c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C).
% 0.46/0.71 Following clause subsumed by 1495 during input processing: 0 [copy,1495,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)).
% 0.46/0.71 Following clause subsumed by 1508 during input processing: 0 [copy,1508,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.55/0.76 Following clause subsumed by 1518 during input processing: 0 [copy,1518,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.55/0.76 1518 back subsumes 1461.
% 0.55/0.76 Following clause subsumed by 1531 during input processing: 0 [copy,1521,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Set_Oimage(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C,A).
% 0.55/0.76 Following clause subsumed by 1523 during input processing: 0 [copy,1523,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(C,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_fun(C,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1525 during input processing: 0 [copy,1525,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 0.55/0.76 Following clause subsumed by 1521 during input processing: 0 [copy,1531,flip.1] {-} c_Set_Oimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.55/0.76 1555 back subsumes 1262.
% 0.55/0.76 1564 back subsumes 1556.
% 0.55/0.76 Following clause subsumed by 1584 during input processing: 0 [copy,1584,flip.1] {-} A=A.
% 0.55/0.76 1584 back subsumes 1393.
% 0.55/0.76 1584 back subsumes 1349.
% 0.55/0.76 1584 back subsumes 1346.
% 0.55/0.76 1584 back subsumes 1338.
% 0.55/0.76 1584 back subsumes 1273.
% 0.55/0.76 1584 back subsumes 1264.
% 0.55/0.76 1584 back subsumes 1242.
% 0.55/0.76 1584 back subsumes 1241.
% 0.55/0.76 1584 back subsumes 1240.
% 0.55/0.76 1584 back subsumes 1239.
% 0.55/0.76 1584 back subsumes 1238.
% 0.55/0.76 1584 back subsumes 1237.
% 0.55/0.76 1584 back subsumes 1236.
% 0.55/0.76 Following clause subsumed by 1680 during input processing: 0 [copy,1680,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 0.55/0.76 Following clause subsumed by 1815 during input processing: 0 [copy,1815,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 0.55/0.76 Following clause subsumed by 1824 during input processing: 0 [copy,1824,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1825 during input processing: 0 [copy,1825,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(C,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_fun(C,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1469 during input processing: 0 [copy,1940,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),B),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1477 during input processing: 0 [copy,1941,flip.1] {-} c_Relation_OImage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1511 during input processing: 0 [copy,1956,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_Divides_Odiv__class_Odiv(B,A,tc_nat))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),c_Divides_Odiv__class_Omod(B,A,tc_nat)).
% 0.55/0.76 Following clause subsumed by 1520 during input processing: 0 [copy,1960,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 0.55/0.76 Following clause subsumed by 1530 during input processing: 0 [copy,1962,flip.1] {-} c_Set_Oinsert(A,B,C)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),B,tc_fun(C,tc_bool)).
% 0.55/0.76 Following clause subsumed by 1546 during input processing: 0 [copy,1968,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.55/0.77 Following clause subsumed by 1659 during input processing: 0 [copy,2200,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 0.55/0.77 Following clause subsumed by 1666 during input processing: 0 [copy,2203,flip.1] {-} c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),tc_nat)=c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Odiv(A,B,tc_nat),C,tc_nat).
% 0.55/0.77 Following clause subsumed by 1668 during input processing: 0 [copy,2204,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.55/0.77 Following clause subsumed by 1684 during input processing: 0 [copy,2205,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 0.55/0.77 Following clause subsumed by 1693 during input processing: 0 [copy,2210,flip.1] {-} c_Set_Oimage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(A,B,D,E),c_Set_Oimage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.55/0.77 Following clause subsumed by 1698 during input processing: 0 [copy,2211,flip.1] {-} c_Lattices_Oupper__semilattice__class_Osup(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))=c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,A,D),C,tc_fun(D,tc_bool)).
% 0.55/0.77 Following clause subsumed by 1699 during input processing: 0 [copy,2212,flip.1] {-} c_Relation_OImage(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,tc_bool)),D,E)=c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(A,B,D,E),c_Relation_OImage(A,C,D,E),tc_fun(E,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2235 during input processing: 0 [copy,2228,flip.1] {-} c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,A)),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)=hAPP(c_Suc,c_Divides_Odiv__class_Odiv(A,hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat)).
% 0.55/0.77 Following clause subsumed by 2234 during input processing: 0 [copy,2229,flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A).
% 0.55/0.77 Following clause subsumed by 2229 during input processing: 0 [copy,2234,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat)))),A).
% 0.55/0.77 Following clause subsumed by 2228 during input processing: 0 [copy,2235,flip.1] {-} hAPP(c_Suc,c_Divides_Odiv__class_Odiv(A,hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat))=c_Divides_Odiv__class_Odiv(hAPP(c_Suc,hAPP(c_Suc,A)),hAPP(c_Suc,hAPP(c_Suc,c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_nat))),tc_nat).
% 0.55/0.77 Following clause subsumed by 1809 during input processing: 0 [copy,2288,flip.1] {-} hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_or),B),A,tc_bool,tc_bool),C)=c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(A,tc_bool)).
% 0.55/0.77 Following clause subsumed by 1820 during input processing: 0 [copy,2296,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.55/0.77 Following clause subsumed by 1821 during input processing: 0 [copy,2297,flip.1] {-} hAPP(hAPP(c_COMBS(A,B,C,D),E),F)=hAPP(hAPP(A,F),hAPP(E,F)).
% 0.55/0.77 Following clause subsumed by 2266 during input processing: 0 [copy,2312,flip.1] {-} hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B),A,tc_bool,tc_bool),C)=c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(A,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2318 during input processing: 0 [copy,2317,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B),A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),C)),D,tc_fun(A,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),D),A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),C)),tc_fun(A,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2317 during input processing: 0 [copy,2318,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),C),B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),D)),tc_fun(B,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),A),B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),D)),C,tc_fun(B,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2306 during input processing: 0 [copy,2319,flip.1] {-} hAPP(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_fun(t_a,tc_bool))).
% 0.55/0.77 Following clause subsumed by 2330 during input processing: 0 [copy,2322,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),B),c_and),C),B,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,B),c_Not),A)),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2331 during input processing: 0 [copy,2323,flip.1] {-} hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B),A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2322 during input processing: 0 [copy,2330,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Lattices_Olower__semilattice__class_Oinf(B,hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),C),A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B)),tc_fun(A,tc_bool)).
% 0.55/0.77 Following clause subsumed by 2323 during input processing: 0 [copy,2331,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=hAPP(c_COMBS(hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),A),c_and),B),A,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,A),c_Not),B)).
% 0.55/0.77 Following clause subsumed by 2311 during input processing: 0 [copy,2353,flip.1] {-} hAPP(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool)),v_x)=hAPP(hAPP(c_in(t_a),v_x),c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_fun(t_a,tc_bool))).
% 0.55/0.77
% 0.55/0.77 ======= end of input processing =======
% 0.55/0.78
% 0.55/0.78 SEGMENTATION FAULT!! This is probably caused by a
% 0.55/0.78 bug in Otter. Please send copy of the input file to
% 0.55/0.78 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.55/0.78 using, and send any other info that might be useful.
% 0.55/0.78
% 0.55/0.78
% 0.55/0.78 SEGMENTATION FAULT!! This is probably caused by a
% 0.55/0.78 bug in Otter. Please send copy of the input file to
% 0.55/0.78 otter@mcs.anl.gov, let us know what version of Otter you are
% 0.55/0.78 using, and send any other info that might be useful.
% 0.55/0.78
% 0.55/0.78
% 0.55/0.78 The job finished Tue Jun 14 19:44:27 2022
%------------------------------------------------------------------------------