TSTP Solution File: ALG389-1 by SOS---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : ALG389-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:01:48 EDT 2022
% Result : Unknown 0.65s 0.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG389-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n023.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 : Thu Jun 9 02:23:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 ----- Otter 3.2, August 2001 -----
% 0.19/0.49 The process was started by sandbox2 on n023.cluster.edu,
% 0.19/0.49 Thu Jun 9 02:23:53 2022
% 0.19/0.49 The command was "./sos". The process ID is 5919.
% 0.19/0.49
% 0.19/0.49 set(prolog_style_variables).
% 0.19/0.49 set(auto).
% 0.19/0.49 dependent: set(auto1).
% 0.19/0.49 dependent: set(process_input).
% 0.19/0.49 dependent: clear(print_kept).
% 0.19/0.49 dependent: clear(print_new_demod).
% 0.19/0.49 dependent: clear(print_back_demod).
% 0.19/0.49 dependent: clear(print_back_sub).
% 0.19/0.49 dependent: set(control_memory).
% 0.19/0.49 dependent: assign(max_mem, 12000).
% 0.19/0.49 dependent: assign(pick_given_ratio, 4).
% 0.19/0.49 dependent: assign(stats_level, 1).
% 0.19/0.49 dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.49 dependent: assign(sos_limit, 5000).
% 0.19/0.49 dependent: assign(max_weight, 60).
% 0.19/0.49 clear(print_given).
% 0.19/0.49
% 0.19/0.49 list(usable).
% 0.19/0.49
% 0.19/0.49 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.19/0.49
% 0.19/0.49 This ia a non-Horn set with equality. The strategy will be
% 0.19/0.49 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.19/0.49 unit deletion, with positive clauses in sos and nonpositive
% 0.19/0.49 clauses in usable.
% 0.19/0.49
% 0.19/0.49 dependent: set(knuth_bendix).
% 0.19/0.49 dependent: set(para_from).
% 0.19/0.49 dependent: set(para_into).
% 0.19/0.49 dependent: clear(para_from_right).
% 0.19/0.49 dependent: clear(para_into_right).
% 0.19/0.49 dependent: set(para_from_vars).
% 0.19/0.49 dependent: set(eq_units_both_ways).
% 0.19/0.49 dependent: set(dynamic_demod_all).
% 0.19/0.49 dependent: set(dynamic_demod).
% 0.19/0.49 dependent: set(order_eq).
% 0.19/0.49 dependent: set(back_demod).
% 0.19/0.49 dependent: set(lrpo).
% 0.19/0.49 dependent: set(hyper_res).
% 0.19/0.49 dependent: set(unit_deletion).
% 0.19/0.49 dependent: set(factor).
% 0.19/0.49
% 0.19/0.49 ------------> process usable:
% 0.19/0.49 Following clause subsumed by 1 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(c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(A),D,A)).
% 0.19/0.49 Following clause subsumed by 8 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))| -c_lessequals(B,C,A)|C=B.
% 0.19/0.49 Following clause subsumed by 9 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C| -c_lessequals(B,C,A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A)).
% 0.19/0.49 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|B=C| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 24 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)).
% 0.19/0.49 Following clause subsumed by 23 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Odivide(B,C,A),A))| -hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)).
% 0.19/0.49 Following clause subsumed by 18 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A))|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),B,A)).
% 0.19/0.49 Following clause subsumed by 19 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A))|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)).
% 0.19/0.49 Following clause subsumed by 20 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A)).
% 0.19/0.49 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(D,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)).
% 0.19/0.49 Following clause subsumed by 18 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(B,A),A))|hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(D,C,A),c_Int_Onumber__class_Onumber__of(B,A),A)).
% 0.19/0.49 Following clause subsumed by 19 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A))|hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)).
% 0.19/0.49 Following clause subsumed by 20 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)).
% 0.19/0.49 Following clause subsumed by 21 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A))|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)).
% 0.19/0.49 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C|hBOOL(c_HOL_Oord__class_Oless(B,C,A))| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 10 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|B=C| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)).
% 0.19/0.49 Following clause subsumed by 42 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Ozero__class_Ozero(A),A)|hBOOL(c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A))| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.49 Following clause subsumed by 29 during input processing: 0 [flip.2] {-} -class_HOL_Oeq(A)|c_fequal(A)=c_HOL_Oeq__class_Oeq(A).
% 0.19/0.49 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|B=C|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|hBOOL(c_HOL_Oord__class_Oless(C,B,A)).
% 0.19/0.49 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|C=B|hBOOL(c_HOL_Oord__class_Oless(C,B,A)).
% 0.19/0.49 Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 129 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|hBOOL(c_HOL_Oord__class_Oless(C,B,A))|C=B.
% 0.19/0.49 Following clause subsumed by 130 during input processing: 0 [] {-} -class_Orderings_Oorder(A)|B=C| -c_lessequals(C,B,A)| -c_lessequals(B,C,A).
% 0.19/0.49 Following clause subsumed by 142 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A))| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 0.19/0.49 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 0.19/0.49 Following clause subsumed by 137 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_HOL_Oinverse__class_Odivide(C,D,A),A)| -hBOOL(c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A))| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),D),C,A).
% 0.19/0.49 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|c_HOL_Oinverse__class_Oinverse(B,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),B,A).
% 0.19/0.49 Following clause subsumed by 97 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,B,A)| -hBOOL(c_HOL_Oord__class_Oless(B,B,A)).
% 0.19/0.49 Following clause subsumed by 176 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,B,A))|c_lessequals(B,B,A).
% 0.19/0.49 Following clause subsumed by 176 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|c_lessequals(B,C,A)|hBOOL(c_HOL_Oord__class_Oless(C,B,A)).
% 0.19/0.49 Following clause subsumed by 176 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)|hBOOL(c_HOL_Oord__class_Oless(B,C,A))|c_lessequals(C,B,A).
% 0.19/0.49 Following clause subsumed by 177 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -c_lessequals(B,C,A)| -hBOOL(c_HOL_Oord__class_Oless(C,B,A)).
% 0.19/0.49 Following clause subsumed by 178 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 178 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.49 Following clause subsumed by 177 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)| -hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A))| -c_lessequals(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.49 Following clause subsumed by 176 during input processing: 0 [] {-} -class_Orderings_Olinorder(A)| -class_Int_Onumber(A)|c_lessequals(c_Int_Onumber__class_Onumber__of(B,A),c_Int_Onumber__class_Onumber__of(C,A),A)|hBOOL(c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(C,A),c_Int_Onumber__class_Onumber__of(B,A),A)).
% 0.19/0.49 Following clause subsumed by 199 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Oinverse__class_Oinverse(C,A))=c_HOL_Oinverse__class_Odivide(B,C,A).
% 0.19/0.49 Following clause subsumed by 152 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(A),c_Int_Onumber__class_Onumber__of(B,A),A).
% 0.19/0.49 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),D,A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),B,A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A)).
% 0.19/0.49 Following clause subsumed by 41 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)).
% 0.19/0.49 Following clause subsumed by 210 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)).
% 0.19/0.49 Following clause subsumed by 209 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)).
% 0.19/0.49 Following clause subsumed by 40 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)|hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A))| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),A).
% 0.19/0.50 Following clause subsumed by 39 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,C,A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A)| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(D,A)),C),B,A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)).
% 0.19/0.50 Following clause subsumed by 225 during input processing: 0 [] {-} -class_Orderings_Opreorder(A)| -hBOOL(c_HOL_Oord__class_Oless(B,C,A))| -hBOOL(c_HOL_Oord__class_Oless(C,B,A)).
% 0.19/0.50 Following clause subsumed by 237 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(D,C,A)).
% 0.19/0.50 Following clause subsumed by 239 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A))| -hBOOL(c_HOL_Oord__class_Oless(C,D,A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)).
% 0.19/0.50 Following clause subsumed by 237 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A))| -hBOOL(c_HOL_Oord__class_Oless(D,C,A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)).
% 0.19/0.50 Following clause subsumed by 241 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__ring__strict(A)|hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A))| -hBOOL(c_HOL_Oord__class_Oless(D,B,A))| -hBOOL(c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)).
% 0.19/0.50 Following clause subsumed by 253 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 254 during input processing: 0 [flip.3] {-} -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),B,A)=C.
% 0.19/0.50 Following clause subsumed by 260 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__semiring__strict(A)|hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)).
% 0.19/0.50 Following clause subsumed by 274 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Oinverse__class_Oinverse(B,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)).
% 0.19/0.50 Following clause subsumed by 142 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,c_HOL_Oinverse__class_Odivide(C,c_Int_Onumber__class_Onumber__of(D,A),A),A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A))| -c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(D,A)),C,A).
% 0.19/0.50 Following clause subsumed by 144 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),D,A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A))| -c_lessequals(B,c_HOL_Oinverse__class_Odivide(D,c_Int_Onumber__class_Onumber__of(C,A),A),A).
% 0.19/0.50 Following clause subsumed by 143 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A),D,A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(C,A),A))| -c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),c_Int_Onumber__class_Onumber__of(C,A)),A).
% 0.19/0.50 Following clause subsumed by 145 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_lessequals(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),c_Int_Onumber__class_Onumber__of(D,A)),A)| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Int_Onumber__class_Onumber__of(D,A),A))| -c_lessequals(c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(D,A),A),C,A).
% 0.19/0.50 Following clause subsumed by 292 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).
% 0.19/0.50 Following clause subsumed by 291 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 295 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).
% 0.19/0.50 Following clause subsumed by 293 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).
% 0.19/0.50 Following clause subsumed by 291 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 291 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 307 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Oinverse__class_Odivide(B,c_Int_Onumber__class_Onumber__of(C,A),A)),c_Int_Onumber__class_Onumber__of(C,A))=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 254 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A)|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.50 Following clause subsumed by 316 during input processing: 0 [flip.5] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_Int_Onumber__class_Onumber__of(B,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Int_Onumber__class_Onumber__of(B,A)),C),C,A)=c_Int_Onumber__class_Onumber__of(B,A).
% 0.19/0.50 Following clause subsumed by 328 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Oinverse__class_Odivide(C,D,A),A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A))| -hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A)).
% 0.19/0.51 Following clause subsumed by 329 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hBOOL(c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(B,C,A),D,A))| -hBOOL(c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A))| -hBOOL(c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)).
% 0.19/0.51 Following clause subsumed by 254 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 254 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_Int_Onumber__class_Onumber__of(C,A)),c_Int_Onumber__class_Onumber__of(C,A),A)=B|c_Int_Onumber__class_Onumber__of(C,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 306 during input processing: 0 [flip.4] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)| -class_Int_Onumber(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),c_Int_Onumber__class_Onumber__of(B,A)),c_Int_Onumber__class_Onumber__of(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 349 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).
% 0.19/0.51 Following clause subsumed by 367 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).
% 0.19/0.51 Following clause subsumed by 368 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).
% 0.19/0.51 Following clause subsumed by 368 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).
% 0.19/0.51 Following clause subsumed by 373 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),c_HOL_Oinverse__class_Odivide(B,C,A)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 371 during input processing: 0 [] {-} -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B),B,A)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 465 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.
% 0.19/0.51 Following clause subsumed by 411 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(A)|c_lessequals(B,c_HOL_Ozero__class_Ozero(A),A)| -c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A).
% 0.19/0.51 Following clause subsumed by 412 during input processing: 0 [] {-} -class_Ring__and__Field_Oordered__idom(A)|hBOOL(c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A))| -hBOOL(c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Int_Onumber__class_Onumber__of(C,tc_nat)),c_HOL_Ozero__class_Ozero(A),A)).
% 0.19/0.51 Following clause subsumed by 511 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).
% 0.19/0.51 Following clause subsumed by 512 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).
% 0.19/0.51 Following clause subsumed by 16 during input processing: 0 [] {-} -class_HOL_Ozero(A)| -class_HOL_Oeq(A)|hBOOL(hAPP(hAPP(c_HOL_Oeq__class_Oeq(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))).
% 0.19/0.51 Following clause subsumed by 420 during input processing: 0 [] {-} -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Oone__class_Oone(A).
% 0.19/0.51 Following clause subsumed by 422 during input processing: 0 [] {-} -class_HOL_Ozero(A)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 607 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).
% 0.19/0.51 Following clause subsumed by 614 during input processing: 0 [] {-} c_Suc(A)!=c_Suc(B)|A=B.
% 0.19/0.51 Following clause subsumed by 617 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.
% 0.19/0.51 Following clause subsumed by 620 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 621 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 0.19/0.51 Following clause subsumed by 618 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).
% 0.19/0.51 Following clause subsumed by 626 during input processing: 0 [] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 631 during input processing: 0 [] {-} -class_Ring__and__Field_Oidom(A)| -class_Int_Oring__char__0(A)|c_Polynomial_Opoly(B,A)!=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 0.19/0.51 Following clause subsumed by 639 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.
% 0.19/0.51 Following clause subsumed by 648 during input processing: 0 [] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.51 Following clause subsumed by 650 during input processing: 0 [flip.2] {-} -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 0.19/0.51 Following clause subsumed by 653 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)).
% 0.19/0.51 Following clause subsumed by 653 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 0.19/0.51 Following clause subsumed by 662 during input processing: 0 [flip.1] {-} c_Suc(A)!=A.
% 0.19/0.51 Following clause subsumed by 654 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),E)).
% 0.19/0.51 Following clause subsumed by 653 during input processing: 0 [] {-} -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))).
% 0.19/0.51 Following clause subsumed by 675 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).
% 0.19/0.51 Following clause subsumed by 683 during input processing: 0 [] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 626 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 626 during input processing: 0 [flip.1] {-} c_Suc(A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.19/0.51 Following clause subsumed by 686 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)).
% 0.19/0.51 Following clause subsumed by 628 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)).
% 0.19/0.51 Following clause subsumed by 628 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)).
% 0.19/0.51 Following clause subsumed by 689 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).
% 0.19/0.51 Following clause subsumed by 694 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)).
% 0.19/0.51 Following clause subsumed by 694 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)).
% 0.19/0.51 Following clause subsumed by 712 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.
% 0.19/0.51 Following clause subsumed by 613 during input processing: 0 [flip.2] {-} -class_Ring__and__Field_Oidom(t_a)|c_HOL_Ozero__class_Ozero(t_a)=v_c____.
% 0.36/0.54 Following clause subsumed by 626 during input processing: 0 [flip.1,flip.2] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x(A,B,C)),A)),hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,t_a),t_a),v_x(A,B,C)))!=hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,t_a),t_a),v_x(A,B,C))|c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))!=c_Polynomial_OpCons(v_c____,v_cs____,t_a)|c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_OIf(hAPP(hAPP(c_fequal(tc_Polynomial_Opoly(t_a)),C),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Polynomial_Odegree(C,t_a)),tc_nat)),A))!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(t_a).
% 0.36/0.54 Following clause subsumed by 626 during input processing: 0 [flip.1] {-} hAPP(hAPP(c_HOL_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x(A,B,C)),A)),hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,t_a),t_a),v_x(A,B,C)))!=hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,t_a),t_a),v_x(A,B,C))|c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_OIf(hAPP(hAPP(c_fequal(tc_Polynomial_Opoly(t_a)),C),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Polynomial_Odegree(C,t_a)),tc_nat)),A))!=c_Suc(c_Polynomial_Odegree(c_Polynomial_OpCons(v_c____,v_cs____,t_a),t_a))|c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_OIf(hAPP(hAPP(c_fequal(tc_Polynomial_Opoly(t_a)),C),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_Polynomial_Odegree(C,t_a)),tc_nat)),A))!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(t_a).
% 0.36/0.54 40 back subsumes 4.
% 0.36/0.54 42 back subsumes 3.
% 0.36/0.54 137 back subsumes 38.
% 0.36/0.54 138 back subsumes 60.
% 0.36/0.54 138 back subsumes 37.
% 0.36/0.54 142 back subsumes 103.
% 0.36/0.54 143 back subsumes 12.
% 0.36/0.54 144 back subsumes 102.
% 0.36/0.54 145 back subsumes 13.
% 0.36/0.54 152 back subsumes 15.
% 0.36/0.54 184 back subsumes 183.
% 0.36/0.54 205 back subsumes 169.
% 0.36/0.54 205 back subsumes 63.
% 0.36/0.54 206 back subsumes 170.
% 0.36/0.54 206 back subsumes 64.
% 0.36/0.54 207 back subsumes 94.
% 0.36/0.54 207 back subsumes 65.
% 0.36/0.54 208 back subsumes 93.
% 0.36/0.54 208 back subsumes 66.
% 0.36/0.54 254 back subsumes 253.
% 0.36/0.54 282 back subsumes 203.
% 0.36/0.54 282 back subsumes 117.
% 0.36/0.54 283 back subsumes 204.
% 0.36/0.54 283 back subsumes 118.
% 0.36/0.54 284 back subsumes 123.
% 0.36/0.54 284 back subsumes 119.
% 0.36/0.54 285 back subsumes 122.
% 0.36/0.54 285 back subsumes 120.
% 0.36/0.54 308 back subsumes 164.
% 0.36/0.54 308 back subsumes 85.
% 0.36/0.54 309 back subsumes 84.
% 0.36/0.54 309 back subsumes 71.
% 0.36/0.54 310 back subsumes 91.
% 0.36/0.54 310 back subsumes 47.
% 0.36/0.54 311 back subsumes 90.
% 0.36/0.54 311 back subsumes 46.
% 0.36/0.54 312 back subsumes 165.
% 0.36/0.54 312 back subsumes 69.
% 0.36/0.54 313 back subsumes 70.
% 0.36/0.54 313 back subsumes 68.
% 0.36/0.54 314 back subsumes 153.
% 0.36/0.54 314 back subsumes 45.
% 0.36/0.54 315 back subsumes 154.
% 0.36/0.54 315 back subsumes 44.
% 0.36/0.54 319 back subsumes 155.
% 0.36/0.54 319 back subsumes 86.
% 0.36/0.54 320 back subsumes 167.
% 0.36/0.54 320 back subsumes 92.
% 0.36/0.54 321 back subsumes 156.
% 0.36/0.54 321 back subsumes 72.
% 0.36/0.54 322 back subsumes 168.
% 0.36/0.54 322 back subsumes 157.
% 0.36/0.54 328 back subsumes 270.
% 0.36/0.54 328 back subsumes 104.
% 0.36/0.54 329 back subsumes 272.
% 0.36/0.54 329 back subsumes 36.
% 0.36/0.54 330 back subsumes 271.
% 0.36/0.54 330 back subsumes 105.
% 0.36/0.54 331 back subsumes 273.
% 0.36/0.54 331 back subsumes 35.
% 0.36/0.54 371 back subsumes 306.
% 0.36/0.54 373 back subsumes 307.
% 0.36/0.54 444 back subsumes 222.
% 0.36/0.54 444 back subsumes 202.
% 0.36/0.54 445 back subsumes 221.
% 0.36/0.54 445 back subsumes 124.
% 0.36/0.54 560 back subsumes 529.
% 0.36/0.54 608 back subsumes 391.
% 0.36/0.54 668 back subsumes 563.
% 0.36/0.54 669 back subsumes 564.
% 0.36/0.54 671 back subsumes 410.
% 0.36/0.54 722 back subsumes 595.
% 0.36/0.54 722 back subsumes 593.
% 0.36/0.54 907 back subsumes 906.
% 0.36/0.54
% 0.36/0.54 ------------> process sos:
% 0.36/0.54 Following clause subsumed by 958 during input processing: 0 [] {-} c_lessequals(A,A,tc_nat).
% 0.36/0.54 Following clause subsumed by 958 during input processing: 0 [] {-} c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 0.36/0.54 Following clause subsumed by 958 during input processing: 0 [] {-} c_lessequals(c_Suc(A),c_Suc(A),tc_nat).
% 0.36/0.54 Following clause subsumed by 970 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.36/0.54 Following clause subsumed by 970 during input processing: 0 [] {-} c_lessequals(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat).
% 0.36/0.54 Following clause subsumed by 989 during input processing: 0 [demod,987] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.36/0.54 Following clause subsumed by 1000 during input processing: 0 [] {-} A=A.
% 0.36/0.54 Following clause subsumed by 1000 during input processing: 0 [copy,961,flip.1] {-} c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 0.36/0.54 Following clause subsumed by 990 during input processing: 0 [copy,983,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B)).
% 0.36/0.54 Following clause subsumed by 984 during input processing: 0 [copy,984,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 0.36/0.54 Following clause subsumed by 1000 during input processing: 0 [copy,989,flip.1] {-} c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)).
% 0.36/0.54 Following clause subsumed by 983 during input processing: 0 [copy,990,flip.1] {-} hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(A)),B).
% 0.36/0.54 Following clause subsumed by 995 during input processing: 0 [copy,995,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)).
% 0.36/0.54 Following clause subsumed by 1000 during input processing: 0 [copy,1000,flip.1] {-} A=A.
% 0.36/0.54 1000 back subsumes 989.
% 0.36/0.54 1000 back subsumes 961.
% 0.36/0.54 1000 back subsumes 941.
% 0.36/0.54 1000 back subsumes 872.
% 0.36/0.54 1000 back subsumes 871.
% 0.36/0.54 1000 back subsumes 870.
% 0.36/0.54 1000 back subsumes 830.
% 0.36/0.54 1000 back subsumes 829.
% 0.36/0.54 1000 back subsumes 828.
% 0.36/0.54 1000 back subsumes 827.
% 0.36/0.54 1000 back subsumes 802.
% 0.36/0.54 Following clause subsumed by 973 during input processing: 0 [copy,1094,flip.1] {-} c_Suc(A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))).
% 0.36/0.54
% 0.36/0.54 ======= end of input processing =======
% 0.65/0.82
% 0.65/0.82
% 0.65/0.82
% 0.65/0.82 Aborting on detection of an error:
% 0.65/0.82
% 0.65/0.82 Too many clauses (whew!).
% 0.65/0.82
%------------------------------------------------------------------------------