TSTP Solution File: SCT096-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : SCT096-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n020.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 22:12:05 EDT 2022
% Result : Unknown 0.83s 1.07s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SCT096-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : sos-script %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jul 2 07:34:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 ----- Otter 3.2, August 2001 -----
% 0.21/0.50 The process was started by sandbox on n020.cluster.edu,
% 0.21/0.50 Sat Jul 2 07:34:00 2022
% 0.21/0.50 The command was "./sos". The process ID is 10723.
% 0.21/0.50
% 0.21/0.50 set(prolog_style_variables).
% 0.21/0.50 set(auto).
% 0.21/0.50 dependent: set(auto1).
% 0.21/0.50 dependent: set(process_input).
% 0.21/0.50 dependent: clear(print_kept).
% 0.21/0.50 dependent: clear(print_new_demod).
% 0.21/0.50 dependent: clear(print_back_demod).
% 0.21/0.50 dependent: clear(print_back_sub).
% 0.21/0.50 dependent: set(control_memory).
% 0.21/0.50 dependent: assign(max_mem, 12000).
% 0.21/0.50 dependent: assign(pick_given_ratio, 4).
% 0.21/0.50 dependent: assign(stats_level, 1).
% 0.21/0.50 dependent: assign(pick_semantic_ratio, 3).
% 0.21/0.50 dependent: assign(sos_limit, 5000).
% 0.21/0.50 dependent: assign(max_weight, 60).
% 0.21/0.50 clear(print_given).
% 0.21/0.50
% 0.21/0.50 list(usable).
% 0.21/0.50
% 0.21/0.50 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 0.21/0.50
% 0.21/0.50 This ia a non-Horn set with equality. The strategy will be
% 0.21/0.50 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.21/0.50 unit deletion, with positive clauses in sos and nonpositive
% 0.21/0.50 clauses in usable.
% 0.21/0.50
% 0.21/0.50 dependent: set(knuth_bendix).
% 0.21/0.50 dependent: set(para_from).
% 0.21/0.50 dependent: set(para_into).
% 0.21/0.50 dependent: clear(para_from_right).
% 0.21/0.50 dependent: clear(para_into_right).
% 0.21/0.50 dependent: set(para_from_vars).
% 0.21/0.50 dependent: set(eq_units_both_ways).
% 0.21/0.50 dependent: set(dynamic_demod_all).
% 0.21/0.50 dependent: set(dynamic_demod).
% 0.21/0.50 dependent: set(order_eq).
% 0.21/0.50 dependent: set(back_demod).
% 0.21/0.50 dependent: set(lrpo).
% 0.21/0.50 dependent: set(hyper_res).
% 0.21/0.50 dependent: set(unit_deletion).
% 0.21/0.50 dependent: set(factor).
% 0.21/0.50
% 0.21/0.50 ------------> process usable:
% 0.21/0.50 Following clause subsumed by 32 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).
% 0.21/0.50 Following clause subsumed by 32 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).
% 0.21/0.50 Following clause subsumed by 17 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.21/0.50 Following clause subsumed by 81 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.21/0.50 Following clause subsumed by 25 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Oone__class_Oone(A).
% 0.21/0.50 Following clause subsumed by 49 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).
% 0.21/0.50 Following clause subsumed by 49 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).
% 0.21/0.50 Following clause subsumed by 87 during input processing: 0 [] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))|hBOOL(hAPP(hAPP(c_in(C),A),B)).
% 0.21/0.50 Following clause subsumed by 113 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).
% 0.21/0.50 Following clause subsumed by 119 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).
% 0.21/0.50 Following clause subsumed by 120 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).
% 0.21/0.50 Following clause subsumed by 160 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_Ozero__class_Ozero(A)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -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),c_HOL_Ozero__class_Ozero(A)),B)).
% 0.21/0.50 Following clause subsumed by 159 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_Ozero__class_Ozero(A)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)))| -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),B),c_HOL_Ozero__class_Ozero(A))).
% 0.21/0.50 Following clause subsumed by 171 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)).
% 0.21/0.50 Following clause subsumed by 170 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))).
% 0.21/0.50 Following clause subsumed by 181 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.21/0.50 Following clause subsumed by 188 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.21/0.50 Following clause subsumed by 188 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),B)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.21/0.50 Following clause subsumed by 207 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.21/0.50 Following clause subsumed by 221 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.50 Following clause subsumed by 221 during input processing: 0 [flip.2] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.50 Following clause subsumed by 221 during input processing: 0 [] {-} -class_OrderedGroup_Ogroup__add(A)|hAPP(c_HOL_Ouminus__class_Ouminus(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))=B.
% 0.21/0.50 Following clause subsumed by 225 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(B,hAPP(c_HOL_Ouminus__class_Ouminus(A),C),A)| -c_lessequals(C,hAPP(c_HOL_Ouminus__class_Ouminus(A),B),A).
% 0.21/0.50 Following clause subsumed by 226 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),B),C,A)| -c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(A),C),B,A).
% 0.21/0.50 Following clause subsumed by 227 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)).
% 0.21/0.50 Following clause subsumed by 228 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)).
% 0.21/0.50 Following clause subsumed by 229 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)))).
% 0.21/0.50 Following clause subsumed by 229 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.21/0.50 Following clause subsumed by 229 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_in(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))).
% 0.21/0.50 Following clause subsumed by 229 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)))).
% 0.21/0.50 Following clause subsumed by 240 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),hAPP(c_HOL_Ouminus__class_Ouminus(A),B))).
% 0.21/0.50 Following clause subsumed by 241 during input processing: 0 [] {-} -class_OrderedGroup_Opordered__ab__group__add(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),B)),C))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(c_HOL_Ouminus__class_Ouminus(A),C)),B)).
% 0.21/0.50 Following clause subsumed by 243 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.21/0.50 Following clause subsumed by 244 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E)).
% 0.21/0.50 Following clause subsumed by 207 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A))| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C).
% 0.21/0.50 Following clause subsumed by 244 during input processing: 0 [] {-} c_Relation_OImage(A,c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)!=c_Relation_OImage(A,c_Set_Oinsert(D,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C),C,C)| -hBOOL(hAPP(hAPP(c_in(C),D),E))| -hBOOL(hAPP(hAPP(c_in(C),B),E))| -c_Equiv__Relations_Oequiv(E,A,C)|hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,D,C,C)),A)).
% 0.21/0.50 Following clause subsumed by 271 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),c_Power_Opower__class_Opower(D,B,A)),c_Power_Opower__class_Opower(D,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.21/0.50 Following clause subsumed by 272 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_Power_Opower__class_Opower(B,C,A)),c_Power_Opower__class_Opower(B,D,A)))| -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)).
% 0.21/0.50 Following clause subsumed by 283 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(B,C,tc_nat)| -c_lessequals(c_Power_Opower__class_Opower(D,B,A),c_Power_Opower__class_Opower(D,C,A),A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),c_HOL_Oone__class_Oone(A)),D)).
% 0.21/0.50 Following clause subsumed by 290 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.
% 0.21/0.50 Following clause subsumed by 301 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).
% 0.21/0.51 Following clause subsumed by 302 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).
% 0.21/0.51 Following clause subsumed by 366 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semidom(A)|c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 0.21/0.51 Following clause subsumed by 367 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.
% 0.21/0.51 Following clause subsumed by 382 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.21/0.51 Following clause subsumed by 382 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Ovimage(C,D,A,E)))| -hBOOL(hAPP(hAPP(c_in(E),hAPP(C,B)),D)).
% 0.21/0.51 Following clause subsumed by 383 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),hAPP(B,C)),D))| -hBOOL(hAPP(hAPP(c_in(E),C),c_Set_Ovimage(B,D,E,A))).
% 0.21/0.51 Following clause subsumed by 384 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)).
% 0.21/0.51 Following clause subsumed by 385 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).
% 0.21/0.51 Following clause subsumed by 385 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).
% 0.21/0.51 Following clause subsumed by 385 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))| -c_lessequals(B,C,A).
% 0.21/0.51 Following clause subsumed by 386 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|C=B| -c_lessequals(B,C,A).
% 0.21/0.51 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),B))|c_lessequals(B,B,A).
% 0.21/0.51 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.51 Following clause subsumed by 403 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),B)).
% 0.21/0.51 Following clause subsumed by 401 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C))|c_lessequals(C,B,A).
% 0.21/0.51 Following clause subsumed by 409 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A))).
% 0.21/0.51 Following clause subsumed by 408 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Ortrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))|B=C.
% 0.21/0.51 Following clause subsumed by 416 during input processing: 0 [] {-} A=B|hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))| -c_lessequals(A,B,tc_nat).
% 0.21/0.51 Following clause subsumed by 416 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B))|A=B| -c_lessequals(A,B,tc_nat).
% 0.21/0.51 Following clause subsumed by 422 during input processing: 0 [] {-} c_lessequals(A,B,tc_nat)| -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),B)).
% 0.21/0.51 Following clause subsumed by 425 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)).
% 0.21/0.51 Following clause subsumed by 426 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)).
% 0.21/0.51 Following clause subsumed by 428 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),c_Transitive__Closure_Ortrancl(C,A)))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.21/0.51 Following clause subsumed by 434 during input processing: 0 [] {-} hAPP(c_Recdef_Ocut(A,B,C,D,E),F)=hAPP(A,F)| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,D)),c_Pair(F,C,D,D)),B)).
% 0.21/0.51 Following clause subsumed by 306 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)).
% 0.21/0.51 Following clause subsumed by 306 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)).
% 0.21/0.51 Following clause subsumed by 443 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).
% 0.21/0.51 Following clause subsumed by 459 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).
% 0.21/0.51 Following clause subsumed by 298 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).
% 0.21/0.51 Following clause subsumed by 475 during input processing: 0 [] {-} -class_OrderedGroup_Ocomm__monoid__add(A)|c_Finite__Set_Osetsum(B,C,D,A)=c_HOL_Ozero__class_Ozero(A)|c_Finite__Set_Ofinite(C,D).
% 0.21/0.51 Following clause subsumed by 481 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.21/0.51 Following clause subsumed by 481 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(B,C,A)| -c_lessequals(C,B,A).
% 0.21/0.51 Following clause subsumed by 412 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),c_Transitive__Closure_Otrancl(D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D)).
% 0.21/0.51 Following clause subsumed by 513 during input processing: 0 [] {-} A=B| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(B,A,C,C)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(C,C)),c_Pair(A,B,C,C)),D))| -c_Relation_Oantisym(D,C).
% 0.21/0.51 Following clause subsumed by 522 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,C,A,A)),D))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(C,B,A,A)),D))| -c_Relation_Osym(D,A).
% 0.21/0.51 Following clause subsumed by 533 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,B)),c_Pair(C,D,A,B)),c_Product__Type_OSigma(E,F,A,B)))| -hBOOL(hAPP(hAPP(c_in(B),D),hAPP(F,C)))| -hBOOL(hAPP(hAPP(c_in(A),C),E)).
% 0.21/0.51 Following clause subsumed by 534 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Wellfounded_Oacc(C,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,D,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),D),c_Wellfounded_Oacc(C,A))).
% 0.21/0.51 Following clause subsumed by 535 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_OImage(C,D,E,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(E,A)),c_Pair(F,B,E,A)),C))| -hBOOL(hAPP(hAPP(c_in(E),F),D)).
% 0.21/0.51 Following clause subsumed by 540 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ORange(C,D,A)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(D,A)),c_Pair(E,B,D,A)),C)).
% 0.21/0.51 Following clause subsumed by 541 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Relation_ODomain(C,A,D)))| -hBOOL(hAPP(hAPP(c_in(tc_prod(A,D)),c_Pair(B,E,A,D)),C)).
% 0.21/0.51 Following clause subsumed by 545 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),C))| -hBOOL(hAPP(hAPP(c_in(A),B),D))| -c_Relation_Orefl__on(D,C,A).
% 0.21/0.51 Following clause subsumed by 552 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)).
% 0.21/0.51 Following clause subsumed by 563 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)).
% 0.21/0.51 Following clause subsumed by 563 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.
% 0.21/0.51 Following clause subsumed by 563 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)).
% 0.21/0.51 Following clause subsumed by 569 during input processing: 0 [] {-} -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),A),A)).
% 0.21/0.51 Following clause subsumed by 562 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,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_e____,v_d____,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_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.21/0.51 Following clause subsumed by 562 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,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_e____,v_d____,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_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.21/0.51 Following clause subsumed by 562 during input processing: 0 [] {-} 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_e____,v_d____,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_e____,v_d____,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_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____)).
% 0.21/0.53 Following clause subsumed by 562 during input processing: 0 [] {-} 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_e____,v_d____,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_e____,v_d____,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_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____)).
% 0.21/0.53 Following clause subsumed by 562 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,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_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.21/0.53 Following clause subsumed by 562 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,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_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.21/0.53 Following clause subsumed by 562 during input processing: 0 [factor_simp] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,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)),v_n____))| -hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_e____,v_d____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Arrow__Order__Mirabelle_Omktop,hAPP(v_P____,A)),v_e____))).
% 0.21/0.53 Following clause subsumed by 87 during input processing: 0 [copy,18,flip.1] {-} c_Set_Oinsert(A,B,C)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.21/0.53 Following clause subsumed by 18 during input processing: 0 [copy,87,flip.1] {-} c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Set_Oinsert(B,C,A).
% 0.21/0.53 243 back subsumes 242.
% 0.21/0.53 363 back subsumes 362.
% 0.21/0.53 364 back subsumes 45.
% 0.21/0.53 403 back subsumes 402.
% 0.21/0.53 425 back subsumes 201.
% 0.21/0.53 426 back subsumes 200.
% 0.21/0.53 562 back subsumes 561.
% 0.21/0.53 571 back subsumes 570.
% 0.21/0.53 586 back subsumes 584.
% 0.21/0.53 588 back subsumes 581.
% 0.21/0.53 590 back subsumes 582.
% 0.21/0.53
% 0.21/0.53 ------------> process sos:
% 0.21/0.53 Following clause subsumed by 755 during input processing: 0 [] {-} 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).
% 0.21/0.53 Following clause subsumed by 793 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.21/0.53 Following clause subsumed by 793 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(A),B),c_Set_Oinsert(B,C,A))).
% 0.21/0.54 Following clause subsumed by 831 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.21/0.54 Following clause subsumed by 833 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.21/0.54 Following clause subsumed by 786 during input processing: 0 [demod,836] {-} c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B)=c_Relation_Orel__comp(A,c_Transitive__Closure_Ortrancl(A,B),B,B,B).
% 0.21/0.54 Following clause subsumed by 844 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Transitive__Closure_Ortrancl(C,A))).
% 0.21/0.54 Following clause subsumed by 845 during input processing: 0 [] {-} hBOOL(hAPP(hAPP(c_in(tc_prod(A,A)),c_Pair(B,B,A,A)),c_Relation_OId(A))).
% 0.21/0.54 Following clause subsumed by 849 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)).
% 0.21/0.54 Following clause subsumed by 849 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.
% 0.21/0.54 Following clause subsumed by 847 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))),c_COMBC(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),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),A,tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),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),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_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____,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))),c_Arrow__Order__Mirabelle_OProf)).
% 0.21/0.54 Following clause subsumed by 854 during input processing: 0 [] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.21/0.54 Following clause subsumed by 853 during input processing: 0 [] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.21/0.54 Following clause subsumed by 786 during input processing: 0 [demod,852] {-} hAPP(A,hAPP(B,F))=hAPP(A,hAPP(B,F)).
% 0.21/0.54 Following clause subsumed by 786 during input processing: 0 [] {-} A=A.
% 0.21/0.54 Following clause subsumed by 732 during input processing: 0 [copy,732,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)).
% 0.21/0.54 Following clause subsumed by 755 during input processing: 0 [copy,755,flip.1] {-} c_Set_Oinsert(A,c_Set_Oinsert(B,C,D),D)=c_Set_Oinsert(B,c_Set_Oinsert(A,C,D),D).
% 0.21/0.54 Following clause subsumed by 756 during input processing: 0 [copy,756,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)).
% 0.21/0.54 757 back subsumes 718.
% 0.21/0.54 Following clause subsumed by 786 during input processing: 0 [copy,786,flip.1] {-} A=A.
% 0.21/0.54 786 back subsumes 701.
% 0.21/0.54 786 back subsumes 700.
% 0.21/0.54 786 back subsumes 699.
% 0.21/0.54 786 back subsumes 696.
% 0.21/0.54 786 back subsumes 693.
% 0.21/0.54 786 back subsumes 688.
% 0.21/0.54 786 back subsumes 687.
% 0.21/0.54 786 back subsumes 652.
% 0.21/0.54 786 back subsumes 649.
% 0.21/0.54 786 back subsumes 619.
% 0.21/0.54 793 back subsumes 721.
% 0.21/0.54 Following clause subsumed by 815 during input processing: 0 [copy,815,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)).
% 0.21/0.54 Following clause subsumed by 825 during input processing: 0 [copy,825,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.21/0.54 844 back subsumes 812.
% 0.21/0.54 856 back subsumes 697.
% 0.21/0.54 Following clause subsumed by 722 during input processing: 0 [copy,905,flip.1] {-} c_Set_Ovimage(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B)=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 0.21/0.54 Following clause subsumed by 744 during input processing: 0 [copy,910,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)).
% 0.21/0.54 Following clause subsumed by 750 during input processing: 0 [copy,913,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),C,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(C,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))).
% 0.21/0.54 Following clause subsumed by 751 during input processing: 0 [copy,914,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(A,tc_bool)),B),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 0.21/0.54 Following clause subsumed by 752 during input processing: 0 [copy,915,flip.1] {-} c_Lattices_Olower__semilattice__class_Oinf(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),A),tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 0.21/0.54 Following clause subsumed by 758 during input processing: 0 [copy,916,flip.1] {-} c_Set_Ovimage(A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),C),D,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(D,tc_bool)),c_Set_Ovimage(A,C,D,B)).
% 0.21/0.54 Following clause subsumed by 764 during input processing: 0 [copy,917,flip.1] {-} c_Relation_ODomain(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.21/0.54 Following clause subsumed by 768 during input processing: 0 [copy,918,flip.1] {-} c_Relation_ORange(c_Transitive__Closure_Ortrancl(A,B),B,B)=hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(B,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))).
% 0.21/0.54 Following clause subsumed by 777 during input processing: 0 [copy,919,flip.1] {-} c_Relation_OImage(c_Relation_OId__on(A,B),C,B,B)=c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_fun(B,tc_bool)).
% 0.21/0.54 Following clause subsumed by 789 during input processing: 0 [copy,920,flip.1] {-} c_Set_Ovimage(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,tc_bool)),E,D)=c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(A,B,E,D),c_Set_Ovimage(A,C,E,D),tc_fun(E,tc_bool)).
% 0.21/0.54 Following clause subsumed by 853 during input processing: 0 [copy,942,flip.1] {-} hAPP(c_COMBC(A,B,C,D,E),F)=hAPP(hAPP(A,F),B).
% 0.21/0.54 Following clause subsumed by 854 during input processing: 0 [copy,943,flip.1] {-} hAPP(c_COMBS(A,B,C,D,E),F)=hAPP(hAPP(A,F),hAPP(B,F)).
% 0.21/0.54
% 0.21/0.54 ======= end of input processing =======
% 0.83/1.07
% 0.83/1.07
% 0.83/1.07
% 0.83/1.07 Aborting on detection of an error:
% 0.83/1.07
% 0.83/1.07 Too many clauses (whew!).
% 0.83/1.07
%------------------------------------------------------------------------------