TSTP Solution File: SCT093-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT093-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n014.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 : Mon Jul 18 22:12:04 EDT 2022
% Result : Unknown 0.97s 1.17s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SCT093-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 05:45:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 ----- Otter 3.2, August 2001 -----
% 0.18/0.49 The process was started by sandbox on n014.cluster.edu,
% 0.18/0.49 Sat Jul 2 05:45:10 2022
% 0.18/0.49 The command was "./sos". The process ID is 32023.
% 0.18/0.49
% 0.18/0.49 set(prolog_style_variables).
% 0.18/0.49 set(auto).
% 0.18/0.49 dependent: set(auto1).
% 0.18/0.49 dependent: set(process_input).
% 0.18/0.49 dependent: clear(print_kept).
% 0.18/0.49 dependent: clear(print_new_demod).
% 0.18/0.49 dependent: clear(print_back_demod).
% 0.18/0.49 dependent: clear(print_back_sub).
% 0.18/0.49 dependent: set(control_memory).
% 0.18/0.49 dependent: assign(max_mem, 12000).
% 0.18/0.49 dependent: assign(pick_given_ratio, 4).
% 0.18/0.49 dependent: assign(stats_level, 1).
% 0.18/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.18/0.49 dependent: assign(sos_limit, 5000).
% 0.18/0.49 dependent: assign(max_weight, 60).
% 0.18/0.49 clear(print_given).
% 0.18/0.49
% 0.18/0.49 list(usable).
% 0.18/0.49
% 0.18/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.18/0.49
% 0.18/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.18/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.18/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.18/0.49 clauses in usable.
% 0.18/0.49
% 0.18/0.49 dependent: set(knuth_bendix).
% 0.18/0.49 dependent: set(para_from).
% 0.18/0.49 dependent: set(para_into).
% 0.18/0.49 dependent: clear(para_from_right).
% 0.18/0.49 dependent: clear(para_into_right).
% 0.18/0.49 dependent: set(para_from_vars).
% 0.18/0.49 dependent: set(eq_units_both_ways).
% 0.18/0.49 dependent: set(dynamic_demod_all).
% 0.18/0.49 dependent: set(dynamic_demod).
% 0.18/0.49 dependent: set(order_eq).
% 0.18/0.49 dependent: set(back_demod).
% 0.18/0.49 dependent: set(lrpo).
% 0.18/0.49 dependent: set(hyper_res).
% 0.18/0.49 dependent: set(unit_deletion).
% 0.18/0.49 dependent: set(factor).
% 0.18/0.49
% 0.18/0.49 ------------> process usable:
% 0.18/0.49 Following clause subsumed by 9 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.18/0.49 Following clause subsumed by 12 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).
% 0.18/0.49 Following clause subsumed by 29 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A).
% 0.18/0.49 Following clause subsumed by 35 during input processing: 0 [] {-} c_lessequals(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B),tc_nat)| -c_lessequals(A,C,tc_nat)| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.18/0.49 Following clause subsumed by 69 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Oone__class_Oone(A)),B)=c_HOL_Oinverse__class_Oinverse(B,A).
% 0.18/0.49 Following clause subsumed by 75 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.49 Following clause subsumed by 63 during input processing: 0 [] {-} -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),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),D),B)),C)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E).
% 0.18/0.49 Following clause subsumed by 103 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).
% 0.18/0.49 Following clause subsumed by 117 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.18/0.49 Following clause subsumed by 121 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).
% 0.18/0.49 Following clause subsumed by 146 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 157 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),B,A).
% 0.18/0.49 Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.18/0.49 Following clause subsumed by 158 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__cancel__semiring(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),C,A).
% 0.18/0.49 Following clause subsumed by 54 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.18/0.49 Following clause subsumed by 54 during input processing: 0 [] {-} c_lessequals(A,c_Set_Oinsert(B,C,D),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))|hBOOL(hAPP(hAPP(c_in(D),B),A)).
% 0.18/0.49 Following clause subsumed by 165 during input processing: 0 [] {-} c_lessequals(A,B,tc_fun(C,tc_bool))| -c_lessequals(A,c_Set_Oinsert(D,B,C),tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),D),A)).
% 0.18/0.49 Following clause subsumed by 147 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 182 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 0.18/0.49 Following clause subsumed by 183 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,C,A)| -c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A).
% 0.18/0.49 Following clause subsumed by 212 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)).
% 0.18/0.49 Following clause subsumed by 214 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)).
% 0.18/0.49 Following clause subsumed by 212 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))).
% 0.18/0.49 Following clause subsumed by 216 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))).
% 0.18/0.49 Following clause subsumed by 234 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 235 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).
% 0.18/0.49 Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 0.18/0.49 Following clause subsumed by 255 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 255 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 258 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oinverse__class_Oinverse(B,A)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.18/0.49 Following clause subsumed by 262 during input processing: 0 [] {-} A=B| -c_lessequals(B,A,tc_fun(C,tc_bool))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.49 Following clause subsumed by 266 during input processing: 0 [flip.1] {-} 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)).
% 0.18/0.49 Following clause subsumed by 75 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.49 Following clause subsumed by 75 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.49 Following clause subsumed by 296 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 305 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.49 Following clause subsumed by 305 during input processing: 0 [] {-} -class_Lattices_Olower__semilattice(A)|c_lessequals(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)| -c_lessequals(B,D,A)| -c_lessequals(B,C,A).
% 0.18/0.49 Following clause subsumed by 308 during input processing: 0 [] {-} c_lessequals(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))| -c_lessequals(A,C,tc_fun(D,tc_bool))| -c_lessequals(A,B,tc_fun(D,tc_bool)).
% 0.18/0.49 Following clause subsumed by 9 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Suc(C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 0.18/0.49 Following clause subsumed by 69 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Oone__class_Oone(A)),B)=c_HOL_Oinverse__class_Oinverse(B,A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.49 Following clause subsumed by 338 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)).
% 0.18/0.49 Following clause subsumed by 339 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)).
% 0.18/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -c_lessequals(D,C,tc_fun(A,tc_bool))| -hBOOL(hAPP(hAPP(c_in(A),B),D)).
% 0.18/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 340 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_lessequals(D,C,tc_fun(A,tc_bool)).
% 0.18/0.49 Following clause subsumed by 348 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))).
% 0.18/0.49 Following clause subsumed by 348 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)).
% 0.18/0.49 Following clause subsumed by 348 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)).
% 0.18/0.49 Following clause subsumed by 365 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.
% 0.18/0.49 Following clause subsumed by 366 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)).
% 0.18/0.49 Following clause subsumed by 381 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.
% 0.18/0.49 Following clause subsumed by 399 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),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.18/0.49 Following clause subsumed by 434 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.18/0.49 Following clause subsumed by 440 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))).
% 0.18/0.49 Following clause subsumed by 439 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),D))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),C)).
% 0.18/0.49 Following clause subsumed by 444 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.18/0.49 Following clause subsumed by 443 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Ozero__class_Ozero(A)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),c_HOL_Ozero__class_Ozero(A))).
% 0.18/0.49 Following clause subsumed by 447 during input processing: 0 [] {-} hBOOL(hAPP(A,B))| -c_lessequals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 0.18/0.50 Following clause subsumed by 448 during input processing: 0 [] {-} c_Finite__Set_Ofinite(A,B)| -c_lessequals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 0.18/0.50 Following clause subsumed by 469 during input processing: 0 [] {-} -class_Ring__and__Field_Odivision__ring(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.50 Following clause subsumed by 146 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.50 Following clause subsumed by 477 during input processing: 0 [] {-} -c_lessequals(A,B,tc_fun(C,tc_bool))|c_lessequals(c_Set_Oimage(D,A,C,E),c_Set_Oimage(D,B,C,E),tc_fun(E,tc_bool)).
% 0.18/0.50 Following clause subsumed by 478 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(B))).
% 0.18/0.50 Following clause subsumed by 481 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.18/0.50 Following clause subsumed by 484 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_Suc(A)),c_Suc(B)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.50 Following clause subsumed by 489 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.18/0.50 Following clause subsumed by 490 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)).
% 0.18/0.50 Following clause subsumed by 571 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(C,tc_bool)),A),B))| -c_lessequals(A,B,tc_fun(C,tc_bool)).
% 0.18/0.50 Following clause subsumed by 580 during input processing: 0 [] {-} -class_Ring__and__Field_Opordered__ring(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_lessequals(C,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A).
% 0.18/0.50 Following clause subsumed by 123 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.18/0.50 Following clause subsumed by 589 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)).
% 0.18/0.50 Following clause subsumed by 589 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)).
% 0.18/0.50 Following clause subsumed by 622 during input processing: 0 [] {-} c_lessequals(c_Suc(A),B,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.50 Following clause subsumed by 623 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -c_lessequals(c_Suc(A),B,tc_nat).
% 0.18/0.50 Following clause subsumed by 618 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))| -c_lessequals(B,C,tc_nat)| -c_lessequals(B,A,tc_nat).
% 0.18/0.50 Following clause subsumed by 378 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Oone__class_Oone(A)),B),A).
% 0.18/0.50 Following clause subsumed by 640 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),B)=A| -c_lessequals(B,A,tc_nat).
% 0.18/0.51 Following clause subsumed by 635 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))| -c_lessequals(C,B,tc_nat).
% 0.18/0.51 Following clause subsumed by 712 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(D,B).
% 0.18/0.51 Following clause subsumed by 747 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.
% 0.18/0.51 Following clause subsumed by 756 during input processing: 0 [] {-} -class_Ring__and__Field_Ozero__neq__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 0.18/0.51 Following clause subsumed by 783 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,B,tc_nat).
% 0.18/0.51 Following clause subsumed by 784 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_lessequals(A,C,tc_nat).
% 0.18/0.51 Following clause subsumed by 791 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.18/0.51 Following clause subsumed by 793 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -c_lessequals(A,B,tc_nat).
% 0.18/0.51 Following clause subsumed by 793 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -c_lessequals(A,B,tc_nat).
% 0.18/0.51 Following clause subsumed by 805 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.18/0.51 Following clause subsumed by 806 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(C,B,A).
% 0.18/0.51 Following clause subsumed by 805 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|c_lessequals(B,B,A).
% 0.18/0.51 Following clause subsumed by 806 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,B,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B)).
% 0.18/0.51 Following clause subsumed by 805 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|c_lessequals(C,B,A).
% 0.18/0.51 Following clause subsumed by 814 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(B,C,A)|C=B.
% 0.18/0.51 Following clause subsumed by 815 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -c_lessequals(B,C,A).
% 0.18/0.51 Following clause subsumed by 815 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|B=C| -c_lessequals(B,C,A).
% 0.18/0.51 Following clause subsumed by 815 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(B,C,A)|B=C.
% 0.18/0.51 Following clause subsumed by 816 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(B,C,A).
% 0.18/0.51 Following clause subsumed by 818 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.18/0.51 Following clause subsumed by 821 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__mult(A)|c_Finite__Set_Osetprod(B,C,D,A)=c_HOL_Oone__class_Oone(A)|c_Finite__Set_Ofinite(C,D).
% 0.18/0.51 Following clause subsumed by 824 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.18/0.51 Following clause subsumed by 824 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.18/0.51 Following clause subsumed by 832 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)).
% 0.18/0.51 Following clause subsumed by 833 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)).
% 0.18/0.51 Following clause subsumed by 845 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)).
% 0.18/0.51 Following clause subsumed by 868 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)).
% 0.18/0.51 Following clause subsumed by 868 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.
% 0.18/0.51 Following clause subsumed by 868 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.18/0.51 Following clause subsumed by 874 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.18/0.51 Following clause subsumed by 875 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).
% 0.18/0.51 Following clause subsumed by 878 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)).
% 0.18/0.51 Following clause subsumed by 879 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)).
% 0.18/0.51 Following clause subsumed by 886 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)).
% 0.18/0.51 Following clause subsumed by 886 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)).
% 0.18/0.51 Following clause subsumed by 898 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.
% 0.18/0.51 Following clause subsumed by 879 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat)))).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lab____))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))|hAPP(v_h____,A)=v_n____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lab____))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))|hAPP(v_h____,A)=v_n____| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.18/0.51 Following clause subsumed by 879 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____)).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lab____))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Oabove,hAPP(v_P____,A)),v_c____),v_e____)))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____)).
% 0.18/0.51 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lba____))|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))|hAPP(v_h____,A)=v_n____|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____)).
% 0.35/0.54 Following clause subsumed by 882 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_Lab____))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omkbot,hAPP(v_P____,A)),v_e____)))|hAPP(v_h____,A)=v_n____|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(v_h____,A)),v_n____)).
% 0.35/0.54 29 back subsumes 28.
% 0.35/0.54 100 back subsumes 97.
% 0.35/0.54 101 back subsumes 99.
% 0.35/0.54 177 back subsumes 176.
% 0.35/0.54 204 back subsumes 203.
% 0.35/0.54 205 back subsumes 202.
% 0.35/0.54 407 back subsumes 405.
% 0.35/0.54 481 back subsumes 391.
% 0.35/0.54 589 back subsumes 231.
% 0.35/0.54 590 back subsumes 232.
% 0.35/0.54 621 back subsumes 619.
% 0.35/0.54 628 back subsumes 558.
% 0.35/0.54 703 back subsumes 702.
% 0.35/0.54 864 back subsumes 863.
% 0.35/0.54 877 back subsumes 401.
% 0.35/0.54 878 back subsumes 614.
% 0.35/0.54 879 back subsumes 613.
% 0.35/0.54 882 back subsumes 881.
% 0.35/0.54 1011 back subsumes 1010.
% 0.35/0.54
% 0.35/0.54 ------------> process sos:
% 0.35/0.54 Following clause subsumed by 1137 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(A))).
% 0.35/0.54 Following clause subsumed by 1186 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.35/0.54 Following clause subsumed by 1186 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.35/0.54 Following clause subsumed by 1191 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.35/0.54 Following clause subsumed by 1165 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.35/0.54 Following clause subsumed by 1199 during input processing: 0 [] {-} c_lessequals(A,A,tc_fun(B,tc_bool)).
% 0.35/0.54 Following clause subsumed by 1191 during input processing: 0 [unit_del,874] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_Suc(A))).
% 0.35/0.54 Following clause subsumed by 1230 during input processing: 0 [demod,1207] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B))).
% 0.35/0.54 Following clause subsumed by 1238 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.35/0.54 Following clause subsumed by 1241 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.35/0.54 Following clause subsumed by 1244 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)).
% 0.35/0.54 Following clause subsumed by 1244 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.
% 0.35/0.54 Following clause subsumed by 1243 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),A),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)),c_Arrow__Order__Mirabelle_OProf)).
% 0.35/0.55 Following clause subsumed by 1245 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_c____,v_e____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omktop,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBS(c_COMBS(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_fequal(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),v_n____),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Oabove,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),hAPP(c_COMBC(c_COMBB(c_Arrow__Order__Mirabelle_Omkbot,v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_e____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))))|hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_F(hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),v_n____),c_HOL_Oone__class_Oone(tc_nat))),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))).
% 0.35/0.55 Following clause subsumed by 1254 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.35/0.55 Following clause subsumed by 1253 during input processing: 0 [] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.35/0.55 Following clause subsumed by 1224 during input processing: 0 [demod,1252] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.35/0.55 Following clause subsumed by 1224 during input processing: 0 [] {-} A=A.
% 0.35/0.55 Following clause subsumed by 1128 during input processing: 0 [copy,1128,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.35/0.55 Following clause subsumed by 1161 during input processing: 0 [copy,1161,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)).
% 0.35/0.55 Following clause subsumed by 1162 during input processing: 0 [copy,1162,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)).
% 0.35/0.55 Following clause subsumed by 1164 during input processing: 0 [copy,1164,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).
% 0.35/0.55 1199 back subsumes 980.
% 0.35/0.55 Following clause subsumed by 1224 during input processing: 0 [copy,1224,flip.1] {-} A=A.
% 0.35/0.55 1224 back subsumes 1118.
% 0.35/0.55 1224 back subsumes 1117.
% 0.35/0.55 1224 back subsumes 1116.
% 0.35/0.55 1224 back subsumes 1109.
% 0.35/0.55 1224 back subsumes 1108.
% 0.35/0.55 1224 back subsumes 1090.
% 0.35/0.55 1224 back subsumes 1086.
% 0.35/0.55 1224 back subsumes 1075.
% 0.35/0.55 1224 back subsumes 1044.
% 0.35/0.55 1224 back subsumes 1043.
% 0.35/0.55 1224 back subsumes 1042.
% 0.35/0.55 1224 back subsumes 1021.
% 0.35/0.55 1224 back subsumes 985.
% 0.35/0.55 1224 back subsumes 984.
% 0.35/0.55 1224 back subsumes 938.
% 0.35/0.55 Following clause subsumed by 1247 during input processing: 0 [copy,1237,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat)).
% 0.35/0.55 1241 back subsumes 937.
% 0.35/0.55 Following clause subsumed by 1247 during input processing: 0 [copy,1247,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.35/0.55 1247 back subsumes 1237.
% 0.35/0.55 Following clause subsumed by 1248 during input processing: 0 [copy,1248,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)).
% 0.35/0.55 1256 back subsumes 1112.
% 0.35/0.55 Following clause subsumed by 1134 during input processing: 0 [copy,1301,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.35/0.55 Following clause subsumed by 1150 during input processing: 0 [copy,1306,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.35/0.55 Following clause subsumed by 1326 during input processing: 0 [copy,1315,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat))),B).
% 0.35/0.55 Following clause subsumed by 1320 during input processing: 0 [copy,1318,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat)))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B)).
% 0.35/0.55 Following clause subsumed by 1212 during input processing: 0 [copy,1319,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)).
% 0.35/0.55 Following clause subsumed by 1318 during input processing: 0 [copy,1320,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))).
% 0.35/0.55 Following clause subsumed by 1315 during input processing: 0 [copy,1326,flip.1] {-} hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat))),B)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),c_HOL_Oone__class_Oone(tc_nat))).
% 0.35/0.55 1349 back subsumes 913.
% 0.35/0.55 Following clause subsumed by 1253 during input processing: 0 [copy,1364,flip.1] {-} hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 0.35/0.55 Following clause subsumed by 1254 during input processing: 0 [copy,1365,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.35/0.55 Following clause subsumed by 1357 during input processing: 0 [copy,1366,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Oone__class_Oone(tc_nat))!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.35/0.55
% 0.35/0.55 ======= end of input processing =======
% 0.97/1.17
% 0.97/1.17
% 0.97/1.17
% 0.97/1.17 Aborting on detection of an error:
% 0.97/1.17
% 0.97/1.17 Too many clauses (whew!).
% 0.97/1.17
%------------------------------------------------------------------------------