TSTP Solution File: ANA039-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ANA039-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 19:21:56 EDT 2022
% Result : Timeout 300.05s 300.23s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA039-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 04:02:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.21 ============================== Prover9 ===============================
% 0.94/1.21 Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.21 Process 1237 was started by sandbox on n004.cluster.edu,
% 0.94/1.21 Fri Jul 8 04:02:08 2022
% 0.94/1.21 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_1080_n004.cluster.edu".
% 0.94/1.21 ============================== end of head ===========================
% 0.94/1.21
% 0.94/1.21 ============================== INPUT =================================
% 0.94/1.21
% 0.94/1.21 % Reading from file /tmp/Prover9_1080_n004.cluster.edu
% 0.94/1.21
% 0.94/1.21 set(prolog_style_variables).
% 0.94/1.21 set(auto2).
% 0.94/1.21 % set(auto2) -> set(auto).
% 0.94/1.21 % set(auto) -> set(auto_inference).
% 0.94/1.21 % set(auto) -> set(auto_setup).
% 0.94/1.21 % set(auto_setup) -> set(predicate_elim).
% 0.94/1.21 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.21 % set(auto) -> set(auto_limits).
% 0.94/1.21 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.21 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.21 % set(auto) -> set(auto_denials).
% 0.94/1.21 % set(auto) -> set(auto_process).
% 0.94/1.21 % set(auto2) -> assign(new_constants, 1).
% 0.94/1.21 % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.21 % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.21 % set(auto2) -> assign(max_hours, 1).
% 0.94/1.21 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.21 % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.21 % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.21 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.21 % set(auto2) -> set(sort_initial_sos).
% 0.94/1.21 % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.21 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.21 % set(auto2) -> assign(max_megs, 400).
% 0.94/1.21 % set(auto2) -> assign(stats, some).
% 0.94/1.21 % set(auto2) -> clear(echo_input).
% 0.94/1.21 % set(auto2) -> set(quiet).
% 0.94/1.21 % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.21 % set(auto2) -> clear(print_given).
% 0.94/1.21 assign(lrs_ticks,-1).
% 0.94/1.21 assign(sos_limit,10000).
% 0.94/1.21 assign(order,kbo).
% 0.94/1.21 set(lex_order_vars).
% 0.94/1.21 clear(print_given).
% 0.94/1.21
% 0.94/1.21 % formulas(sos). % not echoed (1418 formulas)
% 0.94/1.21
% 0.94/1.21 ============================== end of input ==========================
% 0.94/1.21
% 0.94/1.21 % From the command line: assign(max_seconds, 300).
% 0.94/1.21
% 0.94/1.21 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.21
% 0.94/1.21 % Formulas that are not ordinary clauses:
% 0.94/1.21
% 0.94/1.21 ============================== end of process non-clausal formulas ===
% 0.94/1.21
% 0.94/1.21 ============================== PROCESS INITIAL CLAUSES ===============
% 0.94/1.21
% 0.94/1.21 ============================== PREDICATE ELIMINATION =================
% 0.94/1.21 1 -class_OrderedGroup_Ocancel__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__semigroup__add_0) # label(axiom). [assumption].
% 0.94/1.21 2 class_OrderedGroup_Ocancel__semigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B) # label(clsarity_fun_10) # label(axiom). [assumption].
% 0.94/1.21 3 class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_15) # label(axiom). [assumption].
% 0.94/1.21 4 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) # label(clsarity_nat_27) # label(axiom). [assumption].
% 0.94/1.21 5 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Numeral_Onumber__ring_13) # label(axiom). [assumption].
% 0.94/1.21 6 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Oab__group__add_7) # label(axiom). [assumption].
% 0.94/1.21 7 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_3) # label(axiom). [assumption].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(1,a,2,a)].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1,a,3,a)].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(1,a,4,a)].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(1,a,5,b)].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(1,a,6,b)].
% 0.94/1.21 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A). [resolve(1,a,7,b)].
% 0.94/1.21 8 -class_OrderedGroup_Ocancel__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Ocancel__semigroup__add_1) # label(axiom). [assumption].
% 0.94/1.22 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(8,a,2,a)].
% 0.94/1.22 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(8,a,3,a)].
% 0.94/1.22 Derived: class_HOL_Oplus(tc_nat). [resolve(8,a,4,a)].
% 0.94/1.22 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(8,a,5,b)].
% 0.94/1.22 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(8,a,6,b)].
% 0.94/1.22 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A). [resolve(8,a,7,b)].
% 0.94/1.22 9 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_12) # label(axiom). [assumption].
% 0.94/1.22 10 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_11) # label(axiom). [assumption].
% 0.94/1.22 11 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_12) # label(axiom). [assumption].
% 0.94/1.22 12 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_12) # label(axiom). [assumption].
% 0.94/1.22 13 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_6) # label(axiom). [assumption].
% 0.94/1.22 14 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_6) # label(axiom). [assumption].
% 0.94/1.22 15 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_6) # label(axiom). [assumption].
% 0.94/1.22 16 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_7) # label(axiom). [assumption].
% 0.94/1.22 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(16,b,1,a)].
% 0.94/1.22 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A). [resolve(16,b,8,a)].
% 0.94/1.22 17 -class_Power_Orecpower(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Power_Orecpower_19) # label(axiom). [assumption].
% 0.94/1.22 18 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_15) # label(axiom). [assumption].
% 0.94/1.22 Derived: -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Oplus(A). [resolve(18,b,8,a)].
% 0.94/1.22 19 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_17) # label(axiom). [assumption].
% 0.94/1.22 20 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_13) # label(axiom). [assumption].
% 0.94/1.22 Derived: -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Oplus(A). [resolve(20,b,8,a)].
% 0.94/1.22 21 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_19) # label(axiom). [assumption].
% 0.94/1.22 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(21,b,1,a)].
% 0.94/1.22 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oplus(A). [resolve(21,b,8,a)].
% 0.94/1.22 22 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_27) # label(axiom). [assumption].
% 0.94/1.22 23 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_27) # label(axiom). [assumption].
% 0.94/1.22 24 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_21) # label(axiom). [assumption].
% 0.98/1.25 25 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_23) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Oplus(A). [resolve(25,b,8,a)].
% 0.98/1.25 26 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_28) # label(axiom). [assumption].
% 0.98/1.25 27 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_27) # label(axiom). [assumption].
% 0.98/1.25 28 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_5) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(28,b,1,a)].
% 0.98/1.25 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Oplus(A). [resolve(28,b,8,a)].
% 0.98/1.25 29 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_21) # label(axiom). [assumption].
% 0.98/1.25 30 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_20) # label(axiom). [assumption].
% 0.98/1.25 31 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_17) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(31,b,1,a)].
% 0.98/1.25 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_HOL_Oplus(A). [resolve(31,b,8,a)].
% 0.98/1.25 32 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_14) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_HOL_Oplus(A). [resolve(32,b,8,a)].
% 0.98/1.25 33 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_17) # label(axiom). [assumption].
% 0.98/1.25 34 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_5) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(34,b,1,a)].
% 0.98/1.25 Derived: -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Oplus(A). [resolve(34,b,8,a)].
% 0.98/1.25 35 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_11) # label(axiom). [assumption].
% 0.98/1.25 36 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_5) # label(axiom). [assumption].
% 0.98/1.25 Derived: -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(36,b,1,a)].
% 0.98/1.25 Derived: -class_Ring__and__Field_Oring__1(A) | class_HOL_Oplus(A). [resolve(36,b,8,a)].
% 0.98/1.25 37 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_10) # label(axiom). [assumption].
% 0.98/1.25 38 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocancel__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_14) # label(axiom). [assumption].
% 0.98/1.25 39 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_0) # label(axiom). [assumption].
% 0.98/1.25 40 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B) # label(clsarity_fun_11) # label(axiom). [assumption].
% 0.98/1.26 41 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_16) # label(axiom). [assumption].
% 0.98/1.26 42 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_28) # label(axiom). [assumption].
% 0.98/1.26 43 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Numeral_Onumber__ring_14) # label(axiom). [assumption].
% 0.98/1.26 44 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oab__group__add_6) # label(axiom). [assumption].
% 0.98/1.26 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(39,a,40,a)].
% 0.98/1.26 Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(39,a,41,a)].
% 0.98/1.26 Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(39,a,42,a)].
% 0.98/1.26 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(39,a,43,b)].
% 0.98/1.26 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(39,a,44,b)].
% 0.98/1.26 45 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_1) # label(axiom). [assumption].
% 0.98/1.26 46 -class_OrderedGroup_Ocancel__ab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Ocancel__ab__semigroup__add_2) # label(axiom). [assumption].
% 0.98/1.26 47 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_10) # label(axiom). [assumption].
% 0.98/1.26 48 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_9) # label(axiom). [assumption].
% 0.98/1.26 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(48,b,39,a)].
% 0.98/1.26 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(48,b,45,a)].
% 0.98/1.26 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Oplus(A). [resolve(48,b,46,a)].
% 0.98/1.26 49 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_10) # label(axiom). [assumption].
% 0.98/1.26 50 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_10) # label(axiom). [assumption].
% 0.98/1.26 51 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_4) # label(axiom). [assumption].
% 0.98/1.26 52 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_4) # label(axiom). [assumption].
% 0.98/1.26 53 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_4) # label(axiom). [assumption].
% 0.98/1.26 54 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_6) # label(axiom). [assumption].
% 0.98/1.26 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(54,b,39,a)].
% 0.98/1.26 55 -class_Power_Orecpower(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Power_Orecpower_20) # label(axiom). [assumption].
% 0.98/1.26 56 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_14) # label(axiom). [assumption].
% 0.98/1.26 57 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_15) # label(axiom). [assumption].
% 0.98/1.27 58 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_12) # label(axiom). [assumption].
% 0.98/1.27 59 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_18) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(59,b,39,a)].
% 0.98/1.27 60 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_25) # label(axiom). [assumption].
% 0.98/1.27 61 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_25) # label(axiom). [assumption].
% 0.98/1.27 62 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_19) # label(axiom). [assumption].
% 0.98/1.27 63 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_22) # label(axiom). [assumption].
% 0.98/1.27 64 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_26) # label(axiom). [assumption].
% 0.98/1.27 65 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_25) # label(axiom). [assumption].
% 0.98/1.27 66 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_4) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(66,b,39,a)].
% 0.98/1.27 67 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_19) # label(axiom). [assumption].
% 0.98/1.27 68 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_19) # label(axiom). [assumption].
% 0.98/1.27 69 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_16) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(69,b,39,a)].
% 0.98/1.27 70 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_13) # label(axiom). [assumption].
% 0.98/1.27 71 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_15) # label(axiom). [assumption].
% 0.98/1.27 72 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_4) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(72,b,39,a)].
% 0.98/1.27 73 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_10) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(73,b,39,a)].
% 0.98/1.27 74 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_4) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(74,b,39,a)].
% 0.98/1.27 75 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_9) # label(axiom). [assumption].
% 0.98/1.27 Derived: -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(75,b,39,a)].
% 0.98/1.27 Derived: -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(75,b,45,a)].
% 0.98/1.27 Derived: -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Oplus(A). [resolve(75,b,46,a)].
% 0.98/1.27 76 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_13) # label(axiom). [assumption].
% 0.98/1.27 77 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A). [resolve(1,a,7,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(77,b,40,a)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(77,b,41,a)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(77,b,42,a)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(77,b,43,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(77,b,44,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(77,b,47,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(77,b,49,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(77,b,50,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(77,b,51,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(77,b,52,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(77,b,53,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(77,b,55,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(77,b,56,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(77,b,57,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(77,b,58,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(77,b,60,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(77,b,61,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(77,b,62,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(77,b,63,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(77,b,64,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(77,b,65,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(77,b,67,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(77,b,68,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(77,b,70,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(77,b,71,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A). [resolve(77,b,73,b)].
% 0.98/1.27 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(77,b,76,b)].
% 0.98/1.27 78 class_HOL_Oplus(A) | -class_OrderedGroup_Ocancel__ab__semigroup__add(A). [resolve(8,a,7,b)].
% 0.98/1.27 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(78,b,40,a)].
% 0.98/1.27 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(78,b,41,a)].
% 0.98/1.27 Derived: class_HOL_Oplus(tc_nat). [resolve(78,b,42,a)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(78,b,43,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(78,b,44,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(78,b,47,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(78,b,49,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(78,b,50,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(78,b,51,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(78,b,52,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(78,b,53,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(78,b,55,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(78,b,57,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(78,b,60,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(78,b,61,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(78,b,62,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(78,b,64,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(78,b,65,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(78,b,67,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(78,b,68,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(78,b,71,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A). [resolve(78,b,73,b)].
% 0.98/1.29 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(78,b,76,b)].
% 0.98/1.29 79 -class_OrderedGroup_Oab__semigroup__mult(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_OrderedGroup_Oab__semigroup__mult_0) # label(axiom). [assumption].
% 0.98/1.29 80 class_OrderedGroup_Oab__semigroup__mult(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__mult(B) # label(clsarity_fun_14) # label(axiom). [assumption].
% 0.98/1.29 81 class_OrderedGroup_Oab__semigroup__mult(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsarity_set_13) # label(axiom). [assumption].
% 0.98/1.29 82 class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_9) # label(axiom). [assumption].
% 0.98/1.29 83 class_OrderedGroup_Oab__semigroup__mult(tc_nat) # label(clsarity_nat_17) # label(axiom). [assumption].
% 0.98/1.29 84 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Numeral_Onumber__ring_5) # label(axiom). [assumption].
% 0.98/1.29 Derived: class_OrderedGroup_Osemigroup__mult(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__mult(B). [resolve(79,a,80,a)].
% 0.98/1.29 Derived: class_OrderedGroup_Osemigroup__mult(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(79,a,81,a)].
% 0.98/1.29 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(79,a,82,a)].
% 0.98/1.29 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(79,a,83,a)].
% 0.98/1.29 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(79,a,84,b)].
% 0.98/1.29 85 -class_OrderedGroup_Oab__semigroup__mult(A) | class_HOL_Otimes(A) # label(clsrel_OrderedGroup_Oab__semigroup__mult_1) # label(axiom). [assumption].
% 0.98/1.29 Derived: class_HOL_Otimes(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__mult(B). [resolve(85,a,80,a)].
% 0.98/1.29 Derived: class_HOL_Otimes(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(85,a,81,a)].
% 0.98/1.29 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(85,a,82,a)].
% 0.98/1.29 Derived: class_HOL_Otimes(tc_nat). [resolve(85,a,83,a)].
% 0.98/1.29 Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(85,a,84,b)].
% 0.98/1.29 86 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_1) # label(axiom). [assumption].
% 1.06/1.33 87 -class_Power_Orecpower(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Power_Orecpower_9) # label(axiom). [assumption].
% 1.06/1.33 Derived: -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(87,b,79,a)].
% 1.06/1.33 Derived: -class_Power_Orecpower(A) | class_HOL_Otimes(A). [resolve(87,b,85,a)].
% 1.06/1.33 88 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring_2) # label(axiom). [assumption].
% 1.06/1.33 89 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_7) # label(axiom). [assumption].
% 1.06/1.33 Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(89,b,79,a)].
% 1.06/1.33 Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | class_HOL_Otimes(A). [resolve(89,b,85,a)].
% 1.06/1.33 90 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_3) # label(axiom). [assumption].
% 1.06/1.33 91 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_1) # label(axiom). [assumption].
% 1.06/1.33 92 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_2) # label(axiom). [assumption].
% 1.06/1.33 93 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_5) # label(axiom). [assumption].
% 1.06/1.33 94 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_4) # label(axiom). [assumption].
% 1.06/1.33 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(94,b,79,a)].
% 1.06/1.33 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Otimes(A). [resolve(94,b,85,a)].
% 1.06/1.33 95 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_17) # label(axiom). [assumption].
% 1.06/1.33 96 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oidom_17) # label(axiom). [assumption].
% 1.06/1.33 97 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_2) # label(axiom). [assumption].
% 1.06/1.33 98 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__field_20) # label(axiom). [assumption].
% 1.06/1.33 99 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_17) # label(axiom). [assumption].
% 1.06/1.33 100 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_11) # label(axiom). [assumption].
% 1.06/1.33 101 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_3) # label(axiom). [assumption].
% 1.06/1.33 102 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_7) # label(axiom). [assumption].
% 1.06/1.33 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(102,b,79,a)].
% 1.06/1.33 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | class_HOL_Otimes(A). [resolve(102,b,85,a)].
% 1.06/1.33 103 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_2) # label(axiom). [assumption].
% 1.06/1.33 104 -class_OrderedGroup_Omonoid__mult(A) | class_HOL_Oone(A) # label(clsrel_OrderedGroup_Omonoid__mult_0) # label(axiom). [assumption].
% 1.06/1.33 105 class_OrderedGroup_Omonoid__mult(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__mult(B) # label(clsarity_fun_15) # label(axiom). [assumption].
% 1.06/1.34 106 class_OrderedGroup_Omonoid__mult(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsarity_set_14) # label(axiom). [assumption].
% 1.06/1.34 107 class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_23) # label(axiom). [assumption].
% 1.06/1.34 108 class_OrderedGroup_Omonoid__mult(tc_nat) # label(clsarity_nat_23) # label(axiom). [assumption].
% 1.06/1.34 109 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Numeral_Onumber__ring_22) # label(axiom). [assumption].
% 1.06/1.34 110 -class_OrderedGroup_Ocomm__monoid__mult(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_OrderedGroup_Ocomm__monoid__mult_4) # label(axiom). [assumption].
% 1.06/1.34 Derived: class_HOL_Oone(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__mult(B). [resolve(104,a,105,a)].
% 1.06/1.34 Derived: class_HOL_Oone(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(104,a,106,a)].
% 1.06/1.34 Derived: class_HOL_Oone(tc_IntDef_Oint). [resolve(104,a,107,a)].
% 1.06/1.34 Derived: class_HOL_Oone(tc_nat). [resolve(104,a,108,a)].
% 1.06/1.34 Derived: class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(104,a,109,b)].
% 1.06/1.34 Derived: class_HOL_Oone(A) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(104,a,110,b)].
% 1.06/1.34 111 -class_OrderedGroup_Omonoid__mult(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_OrderedGroup_Omonoid__mult_1) # label(axiom). [assumption].
% 1.06/1.34 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(111,a,110,b)].
% 1.06/1.34 112 -class_OrderedGroup_Omonoid__mult(A) | class_HOL_Otimes(A) # label(clsrel_OrderedGroup_Omonoid__mult_2) # label(axiom). [assumption].
% 1.06/1.34 Derived: class_HOL_Otimes(A) | -class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(112,a,110,b)].
% 1.06/1.34 113 -class_Power_Orecpower(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Power_Orecpower_15) # label(axiom). [assumption].
% 1.06/1.34 114 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_24) # label(axiom). [assumption].
% 1.06/1.34 115 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_15) # label(axiom). [assumption].
% 1.06/1.34 116 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_14) # label(axiom). [assumption].
% 1.06/1.34 117 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_12) # label(axiom). [assumption].
% 1.06/1.34 118 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oidom_12) # label(axiom). [assumption].
% 1.06/1.34 119 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__field_15) # label(axiom). [assumption].
% 1.06/1.34 120 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_12) # label(axiom). [assumption].
% 1.06/1.34 121 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_6) # label(axiom). [assumption].
% 1.06/1.34 Derived: -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(121,b,111,a)].
% 1.06/1.34 Derived: -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Otimes(A). [resolve(121,b,112,a)].
% 1.06/1.34 122 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Oring__1_17) # label(axiom). [assumption].
% 1.06/1.34 123 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1_11) # label(axiom). [assumption].
% 1.06/1.34 124 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Omonoid__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_9) # label(axiom). [assumption].
% 1.06/1.34 Derived: -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Oone(A). [resolve(124,b,104,a)].
% 1.13/1.37 Derived: -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(124,b,111,a)].
% 1.13/1.37 Derived: -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A). [resolve(124,b,112,a)].
% 1.13/1.37 125 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring_0) # label(axiom). [assumption].
% 1.13/1.37 126 class_Ring__and__Field_Osemiring(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_17) # label(axiom). [assumption].
% 1.13/1.37 127 class_Ring__and__Field_Osemiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_10) # label(axiom). [assumption].
% 1.13/1.37 128 class_Ring__and__Field_Osemiring(tc_nat) # label(clsarity_nat_18) # label(axiom). [assumption].
% 1.13/1.37 129 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Numeral_Onumber__ring_6) # label(axiom). [assumption].
% 1.13/1.37 130 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Power_Orecpower_10) # label(axiom). [assumption].
% 1.13/1.37 131 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_4) # label(axiom). [assumption].
% 1.13/1.37 132 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_10) # label(axiom). [assumption].
% 1.13/1.37 133 -class_Ring__and__Field_Ocomm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_6) # label(axiom). [assumption].
% 1.13/1.37 134 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_2) # label(axiom). [assumption].
% 1.13/1.37 135 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_4) # label(axiom). [assumption].
% 1.13/1.37 136 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_7) # label(axiom). [assumption].
% 1.13/1.37 137 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_8) # label(axiom). [assumption].
% 1.13/1.37 138 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Ofield_20) # label(axiom). [assumption].
% 1.13/1.37 139 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oidom_20) # label(axiom). [assumption].
% 1.13/1.37 140 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_14) # label(axiom). [assumption].
% 1.13/1.37 141 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_4) # label(axiom). [assumption].
% 1.13/1.37 142 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__field_23) # label(axiom). [assumption].
% 1.13/1.37 143 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_20) # label(axiom). [assumption].
% 1.13/1.37 144 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_7) # label(axiom). [assumption].
% 1.13/1.37 145 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_14) # label(axiom). [assumption].
% 1.13/1.37 146 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_1) # label(axiom). [assumption].
% 1.13/1.37 147 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_5) # label(axiom). [assumption].
% 1.13/1.37 148 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_2) # label(axiom). [assumption].
% 1.13/1.37 149 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_10) # label(axiom). [assumption].
% 1.13/1.37 150 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_4) # label(axiom). [assumption].
% 1.13/1.37 151 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_7) # label(axiom). [assumption].
% 1.13/1.37 152 -class_Ring__and__Field_Opordered__semiring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Opordered__semiring_1) # label(axiom). [assumption].
% 1.13/1.37 153 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oring_0) # label(axiom). [assumption].
% 1.13/1.37 154 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Oring__1_7) # label(axiom). [assumption].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(125,a,126,a)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(125,a,130,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(125,a,131,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(125,a,132,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(125,a,133,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(125,a,134,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(125,a,135,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(125,a,136,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(125,a,138,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(125,a,139,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(125,a,140,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(125,a,141,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(125,a,142,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(125,a,143,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(125,a,145,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(125,a,146,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(125,a,148,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(125,a,149,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(125,a,150,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(125,a,152,b)].
% 1.13/1.37 155 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring_1) # label(axiom). [assumption].
% 1.13/1.37 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(155,a,126,a)].
% 1.13/1.37 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(155,a,133,b)].
% 1.13/1.37 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(155,a,134,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(155,a,136,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(155,a,150,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(155,a,152,b)].
% 1.13/1.38 156 -class_Ring__and__Field_Osemiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring_2) # label(axiom). [assumption].
% 1.13/1.38 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(156,a,126,a)].
% 1.13/1.38 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(156,a,133,b)].
% 1.13/1.38 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(156,a,134,b)].
% 1.13/1.38 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(156,a,136,b)].
% 1.13/1.38 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(156,a,150,b)].
% 1.13/1.38 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(156,a,152,b)].
% 1.13/1.38 157 -class_Ring__and__Field_Osemiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring_3) # label(axiom). [assumption].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(157,a,126,a)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(157,a,131,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(157,a,133,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(157,a,134,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(157,a,135,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(157,a,136,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(157,a,138,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A). [resolve(157,a,139,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(157,a,140,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(157,a,141,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(157,a,142,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(157,a,143,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(157,a,144,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(157,a,146,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(157,a,147,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(157,a,148,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(157,a,150,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(157,a,151,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(157,a,152,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring(A). [resolve(157,a,153,b)].
% 1.13/1.38 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A). [resolve(157,a,154,b)].
% 1.13/1.38 158 -class_Ring__and__Field_Osemiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring_4) # label(axiom). [assumption].
% 1.13/1.38 Derived: class_HOL_Otimes(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(158,a,126,a)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(158,a,131,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(158,a,133,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(158,a,134,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(158,a,135,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(158,a,136,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(158,a,138,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A). [resolve(158,a,139,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(158,a,140,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(158,a,141,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(158,a,142,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(158,a,143,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(158,a,144,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(158,a,146,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(158,a,147,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(158,a,148,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(158,a,150,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(158,a,151,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(158,a,152,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oring(A). [resolve(158,a,153,b)].
% 1.13/1.40 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A). [resolve(158,a,154,b)].
% 1.13/1.40 159 -class_Ring__and__Field_Osemiring__0(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__0_0) # label(axiom). [assumption].
% 1.13/1.40 160 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_1) # label(axiom). [assumption].
% 1.13/1.40 161 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__1_4) # label(axiom). [assumption].
% 1.13/1.40 Derived: -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oplus(A). [resolve(161,b,156,a)].
% 1.13/1.40 162 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_3) # label(axiom). [assumption].
% 1.13/1.40 163 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_0) # label(axiom). [assumption].
% 1.13/1.40 164 class_Ring__and__Field_Ocomm__semiring(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_18) # label(axiom). [assumption].
% 1.13/1.40 165 class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_11) # label(axiom). [assumption].
% 1.13/1.40 166 class_Ring__and__Field_Ocomm__semiring(tc_nat) # label(clsarity_nat_19) # label(axiom). [assumption].
% 1.13/1.40 167 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Numeral_Onumber__ring_7) # label(axiom). [assumption].
% 1.13/1.40 168 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Power_Orecpower_11) # label(axiom). [assumption].
% 1.13/1.40 169 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_1) # label(axiom). [assumption].
% 1.13/1.40 170 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_6) # label(axiom). [assumption].
% 1.13/1.40 171 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_1) # label(axiom). [assumption].
% 1.13/1.42 172 -class_Ring__and__Field_Ocomm__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_2) # label(axiom). [assumption].
% 1.13/1.42 173 -class_Ring__and__Field_Ocomm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_4) # label(axiom). [assumption].
% 1.13/1.42 174 -class_Ring__and__Field_Ocomm__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring_5) # label(axiom). [assumption].
% 1.13/1.42 175 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_0) # label(axiom). [assumption].
% 1.13/1.42 176 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_1) # label(axiom). [assumption].
% 1.13/1.42 177 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_4) # label(axiom). [assumption].
% 1.13/1.42 178 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_2) # label(axiom). [assumption].
% 1.13/1.42 179 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Ofield_16) # label(axiom). [assumption].
% 1.13/1.42 180 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oidom_16) # label(axiom). [assumption].
% 1.13/1.42 181 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_1) # label(axiom). [assumption].
% 1.13/1.42 182 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_19) # label(axiom). [assumption].
% 1.13/1.42 183 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_16) # label(axiom). [assumption].
% 1.13/1.42 184 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_10) # label(axiom). [assumption].
% 1.13/1.42 185 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_2) # label(axiom). [assumption].
% 1.13/1.42 186 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_6) # label(axiom). [assumption].
% 1.13/1.42 187 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_1) # label(axiom). [assumption].
% 1.13/1.42 188 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(125,a,133,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(188,b,164,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(188,b,165,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(188,b,166,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(188,b,167,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(188,b,168,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(188,b,169,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(188,b,170,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(188,b,178,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(188,b,185,b)].
% 1.13/1.42 189 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(155,a,133,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(189,b,164,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(189,b,165,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(189,b,166,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(189,b,167,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(189,b,168,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(189,b,169,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(189,b,170,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(189,b,176,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(189,b,178,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(189,b,179,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(189,b,180,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(189,b,181,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(189,b,182,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(189,b,183,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(189,b,184,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(189,b,185,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(189,b,186,b)].
% 1.13/1.42 190 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(156,a,133,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(190,b,164,a)].
% 1.13/1.42 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(190,b,165,a)].
% 1.13/1.42 Derived: class_HOL_Oplus(tc_nat). [resolve(190,b,166,a)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(190,b,167,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(190,b,168,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(190,b,169,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(190,b,170,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(190,b,176,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(190,b,178,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(190,b,179,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(190,b,180,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(190,b,181,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(190,b,182,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(190,b,183,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(190,b,184,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(190,b,185,b)].
% 1.13/1.42 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(190,b,186,b)].
% 1.13/1.42 191 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(157,a,133,b)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__mult(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(191,b,164,a)].
% 1.13/1.42 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(191,b,165,a)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(191,b,166,a)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(191,b,167,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A). [resolve(191,b,168,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(191,b,169,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(191,b,170,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(191,b,178,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(191,b,184,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(191,b,186,b)].
% 1.13/1.45 192 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring(A). [resolve(158,a,133,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(192,b,164,a)].
% 1.13/1.45 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(192,b,165,a)].
% 1.13/1.45 Derived: class_HOL_Otimes(tc_nat). [resolve(192,b,166,a)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(192,b,167,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A). [resolve(192,b,168,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(192,b,169,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(192,b,170,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(192,b,178,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(192,b,184,b)].
% 1.13/1.45 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(192,b,186,b)].
% 1.13/1.45 193 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_1) # label(axiom). [assumption].
% 1.13/1.45 194 class_Ring__and__Field_Osemiring__0(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_19) # label(axiom). [assumption].
% 1.13/1.45 195 class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_13) # label(axiom). [assumption].
% 1.13/1.45 196 class_Ring__and__Field_Osemiring__0(tc_nat) # label(clsarity_nat_21) # label(axiom). [assumption].
% 1.13/1.45 197 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Numeral_Onumber__ring_10) # label(axiom). [assumption].
% 1.13/1.45 198 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Power_Orecpower_13) # label(axiom). [assumption].
% 1.13/1.45 199 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring_3) # label(axiom). [assumption].
% 1.13/1.45 200 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_9) # label(axiom). [assumption].
% 1.13/1.45 201 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_10) # label(axiom). [assumption].
% 1.13/1.45 202 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_3) # label(axiom). [assumption].
% 1.13/1.45 203 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_6) # label(axiom). [assumption].
% 1.13/1.45 204 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_7) # label(axiom). [assumption].
% 1.13/1.45 205 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Ofield_19) # label(axiom). [assumption].
% 1.13/1.45 206 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oidom_19) # label(axiom). [assumption].
% 1.13/1.45 207 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Olordered__ring_13) # label(axiom). [assumption].
% 1.13/1.45 208 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_3) # label(axiom). [assumption].
% 1.13/1.45 209 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__field_22) # label(axiom). [assumption].
% 1.13/1.45 210 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__idom_19) # label(axiom). [assumption].
% 1.13/1.45 211 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_6) # label(axiom). [assumption].
% 1.13/1.45 212 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semidom_13) # label(axiom). [assumption].
% 1.13/1.45 213 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_0) # label(axiom). [assumption].
% 1.13/1.45 214 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_4) # label(axiom). [assumption].
% 1.13/1.45 215 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_1) # label(axiom). [assumption].
% 1.13/1.45 216 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_9) # label(axiom). [assumption].
% 1.13/1.45 217 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_3) # label(axiom). [assumption].
% 1.13/1.45 218 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__ring_6) # label(axiom). [assumption].
% 1.13/1.45 219 -class_Ring__and__Field_Opordered__semiring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Opordered__semiring_0) # label(axiom). [assumption].
% 1.13/1.45 220 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oring_13) # label(axiom). [assumption].
% 1.13/1.45 221 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Oring__1_6) # label(axiom). [assumption].
% 1.13/1.45 222 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_2) # label(axiom). [assumption].
% 1.13/1.45 223 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__0_3) # label(axiom). [assumption].
% 1.13/1.45 224 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__0_4) # label(axiom). [assumption].
% 1.13/1.45 225 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__0_5) # label(axiom). [assumption].
% 1.13/1.45 226 -class_Ring__and__Field_Osemiring__0(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__0_6) # label(axiom). [assumption].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(226,a,194,a)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(226,a,195,a)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_nat). [resolve(226,a,196,a)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(226,a,197,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Power_Orecpower(A). [resolve(226,a,198,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(226,a,199,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(226,a,200,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(226,a,201,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(226,a,202,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(226,a,203,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(226,a,204,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(226,a,205,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(226,a,206,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(226,a,207,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(226,a,208,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(226,a,209,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(226,a,210,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(226,a,211,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(226,a,212,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(226,a,213,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(226,a,214,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(226,a,215,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(226,a,216,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(226,a,217,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(226,a,218,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(226,a,219,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oring(A). [resolve(226,a,220,b)].
% 1.13/1.45 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(226,a,221,b)].
% 1.13/1.45 227 -class_Ring__and__Field_Osemiring__0(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__0_7) # label(axiom). [assumption].
% 1.13/1.45 Derived: class_HOL_Ozero(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(227,a,194,a)].
% 1.13/1.45 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(227,a,195,a)].
% 1.13/1.45 Derived: class_HOL_Ozero(tc_nat). [resolve(227,a,196,a)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(227,a,197,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(227,a,198,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(227,a,199,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(227,a,200,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(227,a,201,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(227,a,202,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(227,a,203,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(227,a,204,b)].
% 1.13/1.45 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(227,a,205,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(227,a,206,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(227,a,207,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(227,a,208,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(227,a,209,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(227,a,210,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(227,a,211,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(227,a,212,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(227,a,213,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(227,a,214,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(227,a,215,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(227,a,216,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(227,a,217,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(227,a,218,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(227,a,219,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring(A). [resolve(227,a,220,b)].
% 1.22/1.48 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(227,a,221,b)].
% 1.22/1.48 228 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_0) # label(axiom). [assumption].
% 1.22/1.48 229 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__1_3) # label(axiom). [assumption].
% 1.22/1.48 Derived: -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A). [resolve(229,b,227,a)].
% 1.22/1.48 230 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_2) # label(axiom). [assumption].
% 1.22/1.48 231 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_3) # label(axiom). [assumption].
% 1.22/1.48 232 class_Ring__and__Field_Ocomm__semiring__0(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_20) # label(axiom). [assumption].
% 1.22/1.48 233 class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_14) # label(axiom). [assumption].
% 1.22/1.48 234 class_Ring__and__Field_Ocomm__semiring__0(tc_nat) # label(clsarity_nat_22) # label(axiom). [assumption].
% 1.22/1.48 235 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Numeral_Onumber__ring_11) # label(axiom). [assumption].
% 1.22/1.48 236 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Power_Orecpower_14) # label(axiom). [assumption].
% 1.22/1.48 237 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring_0) # label(axiom). [assumption].
% 1.22/1.48 238 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_5) # label(axiom). [assumption].
% 1.22/1.48 239 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_4) # label(axiom). [assumption].
% 1.22/1.48 240 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_5) # label(axiom). [assumption].
% 1.22/1.48 241 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_6) # label(axiom). [assumption].
% 1.22/1.48 242 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_7) # label(axiom). [assumption].
% 1.24/1.50 243 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_8) # label(axiom). [assumption].
% 1.24/1.50 244 -class_Ring__and__Field_Ocomm__semiring__0(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0_9) # label(axiom). [assumption].
% 1.24/1.50 245 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_0) # label(axiom). [assumption].
% 1.24/1.50 246 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_3) # label(axiom). [assumption].
% 1.24/1.50 247 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_1) # label(axiom). [assumption].
% 1.24/1.50 248 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Ofield_15) # label(axiom). [assumption].
% 1.24/1.50 249 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oidom_15) # label(axiom). [assumption].
% 1.24/1.50 250 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_0) # label(axiom). [assumption].
% 1.24/1.50 251 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__field_18) # label(axiom). [assumption].
% 1.24/1.50 252 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__idom_15) # label(axiom). [assumption].
% 1.24/1.50 253 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Oordered__semidom_9) # label(axiom). [assumption].
% 1.24/1.50 254 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_1) # label(axiom). [assumption].
% 1.24/1.50 255 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_5) # label(axiom). [assumption].
% 1.24/1.50 256 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Ocomm__semiring__0(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_0) # label(axiom). [assumption].
% 1.24/1.50 257 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(125,a,134,b)].
% 1.24/1.50 258 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(155,a,134,b)].
% 1.24/1.50 259 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(156,a,134,b)].
% 1.24/1.50 260 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(157,a,134,b)].
% 1.24/1.50 261 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(158,a,134,b)].
% 1.24/1.50 262 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(226,a,201,b)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(262,b,232,a)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(262,b,233,a)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_nat). [resolve(262,b,234,a)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(262,b,235,b)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Power_Orecpower(A). [resolve(262,b,236,b)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(262,b,237,b)].
% 1.24/1.50 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(262,b,238,b)].
% 1.24/1.50 263 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0(A). [resolve(227,a,201,b)].
% 1.27/1.52 Derived: class_HOL_Ozero(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(263,b,232,a)].
% 1.27/1.52 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(263,b,233,a)].
% 1.27/1.52 Derived: class_HOL_Ozero(tc_nat). [resolve(263,b,234,a)].
% 1.27/1.52 Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(263,b,235,b)].
% 1.27/1.52 Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(263,b,236,b)].
% 1.27/1.52 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(263,b,237,b)].
% 1.27/1.52 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(263,b,238,b)].
% 1.27/1.52 264 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_2) # label(axiom). [assumption].
% 1.27/1.52 265 class_Ring__and__Field_Osemiring__0__cancel(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_21) # label(axiom). [assumption].
% 1.27/1.52 266 class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_18) # label(axiom). [assumption].
% 1.27/1.52 267 class_Ring__and__Field_Osemiring__0__cancel(tc_nat) # label(clsarity_nat_29) # label(axiom). [assumption].
% 1.27/1.52 268 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Numeral_Onumber__ring_16) # label(axiom). [assumption].
% 1.27/1.52 269 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Power_Orecpower_21) # label(axiom). [assumption].
% 1.27/1.52 270 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring_17) # label(axiom). [assumption].
% 1.27/1.52 271 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_8) # label(axiom). [assumption].
% 1.27/1.52 272 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_14) # label(axiom). [assumption].
% 1.27/1.52 273 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_21) # label(axiom). [assumption].
% 1.27/1.52 274 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ofield_18) # label(axiom). [assumption].
% 1.27/1.52 275 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oidom_18) # label(axiom). [assumption].
% 1.27/1.52 276 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Olordered__ring_12) # label(axiom). [assumption].
% 1.27/1.52 277 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_26) # label(axiom). [assumption].
% 1.27/1.52 278 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_21) # label(axiom). [assumption].
% 1.27/1.52 279 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_18) # label(axiom). [assumption].
% 1.27/1.52 280 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_3) # label(axiom). [assumption].
% 1.27/1.52 281 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_12) # label(axiom). [assumption].
% 1.27/1.52 282 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_21) # label(axiom). [assumption].
% 1.27/1.52 283 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_20) # label(axiom). [assumption].
% 1.28/1.56 284 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_15) # label(axiom). [assumption].
% 1.28/1.56 285 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_8) # label(axiom). [assumption].
% 1.28/1.56 286 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__ring_3) # label(axiom). [assumption].
% 1.28/1.56 287 -class_Ring__and__Field_Oring(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oring_12) # label(axiom). [assumption].
% 1.28/1.56 288 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oring__1_3) # label(axiom). [assumption].
% 1.28/1.56 289 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_3) # label(axiom). [assumption].
% 1.28/1.56 290 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_4) # label(axiom). [assumption].
% 1.28/1.56 291 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_5) # label(axiom). [assumption].
% 1.28/1.56 292 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_6) # label(axiom). [assumption].
% 1.28/1.56 293 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_7) # label(axiom). [assumption].
% 1.28/1.56 294 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__0__cancel_8) # label(axiom). [assumption].
% 1.28/1.56 295 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__0__cancel(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_15) # label(axiom). [assumption].
% 1.28/1.56 296 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(75,b,39,a)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(296,a,280,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(296,a,286,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A). [resolve(296,a,287,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(296,a,288,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(296,a,295,b)].
% 1.28/1.56 297 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(75,b,45,a)].
% 1.28/1.56 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(297,a,280,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(297,a,286,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(297,a,288,b)].
% 1.28/1.56 298 -class_Ring__and__Field_Osemiring__0__cancel(A) | class_HOL_Oplus(A). [resolve(75,b,46,a)].
% 1.28/1.56 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(298,a,280,b)].
% 1.28/1.56 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(298,a,284,b)].
% 1.28/1.56 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(298,a,286,b)].
% 1.28/1.56 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A). [resolve(298,a,288,b)].
% 1.28/1.56 299 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring_1) # label(axiom). [assumption].
% 1.28/1.56 300 class_Ring__and__Field_Oring(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_22) # label(axiom). [assumption].
% 1.28/1.56 301 class_Ring__and__Field_Oring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_19) # label(axiom). [assumption].
% 1.28/1.56 302 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Numeral_Onumber__ring_17) # label(axiom). [assumption].
% 1.28/1.56 303 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ocomm__ring_16) # label(axiom). [assumption].
% 1.28/1.56 304 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_1) # label(axiom). [assumption].
% 1.28/1.56 305 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Ofield_3) # label(axiom). [assumption].
% 1.28/1.56 306 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oidom_3) # label(axiom). [assumption].
% 1.28/1.56 307 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Olordered__ring_1) # label(axiom). [assumption].
% 1.28/1.56 308 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__field_6) # label(axiom). [assumption].
% 1.28/1.56 309 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__idom_3) # label(axiom). [assumption].
% 1.28/1.56 310 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_0) # label(axiom). [assumption].
% 1.28/1.56 311 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_1) # label(axiom). [assumption].
% 1.28/1.56 312 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Opordered__ring_0) # label(axiom). [assumption].
% 1.28/1.56 313 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oring_2) # label(axiom). [assumption].
% 1.28/1.56 314 -class_Ring__and__Field_Oring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oring_3) # label(axiom). [assumption].
% 1.28/1.56 315 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oring_4) # label(axiom). [assumption].
% 1.28/1.56 316 -class_Ring__and__Field_Oring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oring_5) # label(axiom). [assumption].
% 1.28/1.56 317 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oring_6) # label(axiom). [assumption].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(317,a,300,a)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint). [resolve(317,a,301,a)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A). [resolve(317,a,302,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(317,a,303,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(317,a,304,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(317,a,305,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(317,a,306,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(317,a,307,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(317,a,308,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(317,a,309,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(317,a,310,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(317,a,311,b)].
% 1.28/1.56 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(317,a,312,b)].
% 1.28/1.57 318 -class_Ring__and__Field_Oring(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oring_7) # label(axiom). [assumption].
% 1.28/1.57 Derived: class_HOL_Ominus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(318,a,300,a)].
% 1.28/1.57 Derived: class_HOL_Ominus(tc_IntDef_Oint). [resolve(318,a,301,a)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Numeral_Onumber__ring(A). [resolve(318,a,302,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(318,a,303,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(318,a,304,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Ofield(A). [resolve(318,a,305,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oidom(A). [resolve(318,a,306,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(318,a,307,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(318,a,308,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(318,a,309,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(318,a,310,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(318,a,311,b)].
% 1.28/1.57 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(318,a,312,b)].
% 1.28/1.57 319 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oring_8) # label(axiom). [assumption].
% 1.28/1.57 320 -class_Ring__and__Field_Oring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oring_9) # label(axiom). [assumption].
% 1.28/1.57 321 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Oring(A) # label(clsrel_Ring__and__Field_Oring__1_0) # label(axiom). [assumption].
% 1.28/1.57 322 -class_Ring__and__Field_Oring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(73,b,39,a)].
% 1.28/1.57 323 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring(A). [resolve(77,b,73,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(323,b,307,b)].
% 1.28/1.57 324 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring(A). [resolve(78,b,73,b)].
% 1.28/1.57 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(324,b,307,b)].
% 1.28/1.57 325 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring(A). [resolve(157,a,153,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(325,b,305,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A). [resolve(325,b,306,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(325,b,307,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(325,b,308,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(325,b,309,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(325,b,310,b)].
% 1.28/1.57 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(325,b,312,b)].
% 1.28/1.57 326 class_HOL_Otimes(A) | -class_Ring__and__Field_Oring(A). [resolve(158,a,153,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(326,b,305,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A). [resolve(326,b,306,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(326,b,307,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(326,b,308,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(326,b,309,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(326,b,310,b)].
% 1.28/1.57 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(326,b,312,b)].
% 1.28/1.57 327 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oring(A). [resolve(226,a,220,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(327,b,305,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(327,b,306,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(327,b,307,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(327,b,308,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(327,b,309,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(327,b,310,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(327,b,311,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(327,b,312,b)].
% 1.28/1.59 328 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring(A). [resolve(227,a,220,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(328,b,305,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(328,b,306,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(328,b,307,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(328,b,308,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(328,b,309,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(328,b,310,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(328,b,311,b)].
% 1.28/1.59 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(328,b,312,b)].
% 1.28/1.59 329 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring(A). [resolve(296,a,287,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(329,b,300,a)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(329,b,301,a)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(329,b,302,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(329,b,303,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(329,b,304,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(329,b,305,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(329,b,306,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(329,b,307,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(329,b,308,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(329,b,309,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(329,b,310,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(329,b,311,b)].
% 1.28/1.59 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(329,b,312,b)].
% 1.28/1.59 330 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_10) # label(axiom). [assumption].
% 1.28/1.59 331 class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_23) # label(axiom). [assumption].
% 1.28/1.59 332 class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_20) # label(axiom). [assumption].
% 1.28/1.59 333 class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) # label(clsarity_nat_31) # label(axiom). [assumption].
% 1.36/1.61 334 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Numeral_Onumber__ring_18) # label(axiom). [assumption].
% 1.36/1.61 335 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Power_Orecpower_23) # label(axiom). [assumption].
% 1.36/1.61 336 -class_Ring__and__Field_Ocomm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring_18) # label(axiom). [assumption].
% 1.36/1.61 337 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_4) # label(axiom). [assumption].
% 1.36/1.61 338 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_11) # label(axiom). [assumption].
% 1.36/1.61 339 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_5) # label(axiom). [assumption].
% 1.36/1.61 340 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_6) # label(axiom). [assumption].
% 1.36/1.61 341 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_7) # label(axiom). [assumption].
% 1.36/1.61 342 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_8) # label(axiom). [assumption].
% 1.36/1.61 343 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__0__cancel_9) # label(axiom). [assumption].
% 1.36/1.61 344 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_22) # label(axiom). [assumption].
% 1.36/1.61 345 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Ofield_14) # label(axiom). [assumption].
% 1.36/1.61 346 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oidom_14) # label(axiom). [assumption].
% 1.36/1.61 347 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_17) # label(axiom). [assumption].
% 1.36/1.61 348 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_14) # label(axiom). [assumption].
% 1.36/1.61 349 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_8) # label(axiom). [assumption].
% 1.36/1.61 350 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__semiring__0__cancel(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_4) # label(axiom). [assumption].
% 1.36/1.61 351 -class_Ring__and__Field_Ocomm__semiring__0__cancel(A) | class_HOL_Oplus(A). [resolve(20,b,8,a)].
% 1.36/1.61 352 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(77,b,58,b)].
% 1.36/1.61 353 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(125,a,135,b)].
% 1.36/1.61 354 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(157,a,135,b)].
% 1.36/1.61 355 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(158,a,135,b)].
% 1.36/1.61 356 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(189,b,176,b)].
% 1.36/1.61 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(356,b,331,a)].
% 1.36/1.61 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(356,b,332,a)].
% 1.36/1.61 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(356,b,333,a)].
% 1.36/1.61 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(356,b,334,b)].
% 1.36/1.63 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(356,b,335,b)].
% 1.36/1.63 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(356,b,336,b)].
% 1.36/1.63 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(356,b,337,b)].
% 1.36/1.63 357 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(190,b,176,b)].
% 1.36/1.63 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(357,b,331,a)].
% 1.36/1.63 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(357,b,332,a)].
% 1.36/1.63 Derived: class_HOL_Oplus(tc_nat). [resolve(357,b,333,a)].
% 1.36/1.63 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(357,b,334,b)].
% 1.36/1.63 Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(357,b,335,b)].
% 1.36/1.63 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(357,b,336,b)].
% 1.36/1.63 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(357,b,337,b)].
% 1.36/1.63 358 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(226,a,202,b)].
% 1.36/1.63 359 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__0__cancel(A). [resolve(227,a,202,b)].
% 1.36/1.63 360 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__ring_10) # label(axiom). [assumption].
% 1.36/1.63 361 class_Ring__and__Field_Ocomm__ring(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_24) # label(axiom). [assumption].
% 1.36/1.63 362 class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_21) # label(axiom). [assumption].
% 1.36/1.63 363 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Numeral_Onumber__ring_19) # label(axiom). [assumption].
% 1.36/1.63 364 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__ring_11) # label(axiom). [assumption].
% 1.36/1.63 365 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_12) # label(axiom). [assumption].
% 1.36/1.63 366 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Ocomm__ring_13) # label(axiom). [assumption].
% 1.36/1.63 367 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__ring_5) # label(axiom). [assumption].
% 1.36/1.63 368 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__ring_6) # label(axiom). [assumption].
% 1.36/1.63 369 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_7) # label(axiom). [assumption].
% 1.36/1.63 370 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_8) # label(axiom). [assumption].
% 1.36/1.63 371 -class_Ring__and__Field_Ocomm__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring_9) # label(axiom). [assumption].
% 1.36/1.63 372 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_0) # label(axiom). [assumption].
% 1.36/1.63 373 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Ofield_1) # label(axiom). [assumption].
% 1.36/1.63 374 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oidom_1) # label(axiom). [assumption].
% 1.36/1.63 375 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_4) # label(axiom). [assumption].
% 1.36/1.63 376 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_1) # label(axiom). [assumption].
% 1.36/1.63 377 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Ocomm__ring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_0) # label(axiom). [assumption].
% 1.36/1.65 378 -class_Ring__and__Field_Ocomm__ring(A) | class_HOL_Oplus(A). [resolve(18,b,8,a)].
% 1.36/1.65 379 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(77,b,56,b)].
% 1.36/1.65 380 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(125,a,131,b)].
% 1.36/1.65 381 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(157,a,131,b)].
% 1.36/1.65 382 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(158,a,131,b)].
% 1.36/1.65 383 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(188,b,169,b)].
% 1.36/1.65 384 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(189,b,169,b)].
% 1.36/1.65 385 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(190,b,169,b)].
% 1.36/1.65 386 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(191,b,169,b)].
% 1.36/1.65 Derived: class_OrderedGroup_Osemigroup__mult(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(386,b,361,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(386,b,362,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(386,b,363,b)].
% 1.36/1.65 387 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(192,b,169,b)].
% 1.36/1.65 Derived: class_HOL_Otimes(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(387,b,361,a)].
% 1.36/1.65 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(387,b,362,a)].
% 1.36/1.65 Derived: class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(387,b,363,b)].
% 1.36/1.65 388 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(226,a,199,b)].
% 1.36/1.65 389 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(227,a,199,b)].
% 1.36/1.65 390 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(262,b,237,b)].
% 1.36/1.65 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(390,b,361,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(390,b,362,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(390,b,363,b)].
% 1.36/1.65 391 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(263,b,237,b)].
% 1.36/1.65 Derived: class_HOL_Ozero(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(391,b,361,a)].
% 1.36/1.65 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(391,b,362,a)].
% 1.36/1.65 Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(391,b,363,b)].
% 1.36/1.65 392 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(317,a,303,b)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__group__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(392,b,361,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint). [resolve(392,b,362,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A). [resolve(392,b,363,b)].
% 1.36/1.65 393 class_HOL_Ominus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(318,a,303,b)].
% 1.36/1.65 Derived: class_HOL_Ominus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(393,b,361,a)].
% 1.36/1.65 Derived: class_HOL_Ominus(tc_IntDef_Oint). [resolve(393,b,362,a)].
% 1.36/1.65 Derived: class_HOL_Ominus(A) | -class_Numeral_Onumber__ring(A). [resolve(393,b,363,b)].
% 1.36/1.65 394 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(329,b,303,b)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(394,b,361,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(394,b,362,a)].
% 1.36/1.65 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(394,b,363,b)].
% 1.36/1.65 395 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(356,b,336,b)].
% 1.36/1.65 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(395,b,361,a)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(395,b,362,a)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(395,b,363,b)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(395,b,373,b)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(395,b,374,b)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(395,b,375,b)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(395,b,376,b)].
% 1.36/1.67 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(395,b,377,b)].
% 1.36/1.67 396 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring(A). [resolve(357,b,336,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(396,b,361,a)].
% 1.36/1.67 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(396,b,362,a)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(396,b,363,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(396,b,373,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(396,b,374,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(396,b,375,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(396,b,376,b)].
% 1.36/1.67 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(396,b,377,b)].
% 1.36/1.67 397 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oaxclass__0__neq__1_0) # label(axiom). [assumption].
% 1.36/1.67 398 class_Ring__and__Field_Oaxclass__0__neq__1(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_25) # label(axiom). [assumption].
% 1.36/1.67 399 class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_22) # label(axiom). [assumption].
% 1.36/1.67 400 class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) # label(clsarity_nat_13) # label(axiom). [assumption].
% 1.36/1.67 401 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Numeral_Onumber__ring_21) # label(axiom). [assumption].
% 1.36/1.67 402 -class_Power_Orecpower(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Power_Orecpower_3) # label(axiom). [assumption].
% 1.36/1.67 403 -class_Ring__and__Field_Oaxclass__0__neq__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oaxclass__0__neq__1_1) # label(axiom). [assumption].
% 1.36/1.67 Derived: class_HOL_Oone(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(403,a,398,a)].
% 1.36/1.67 Derived: class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(403,a,402,b)].
% 1.36/1.67 404 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_23) # label(axiom). [assumption].
% 1.36/1.67 405 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_0) # label(axiom). [assumption].
% 1.36/1.67 406 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_6) # label(axiom). [assumption].
% 1.36/1.67 Derived: -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oone(A). [resolve(406,b,403,a)].
% 1.36/1.67 407 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Ofield_11) # label(axiom). [assumption].
% 1.36/1.67 408 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oidom_11) # label(axiom). [assumption].
% 1.36/1.67 409 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__field_14) # label(axiom). [assumption].
% 1.36/1.67 410 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_11) # label(axiom). [assumption].
% 1.44/1.70 411 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_5) # label(axiom). [assumption].
% 1.44/1.70 412 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Oring__1_16) # label(axiom). [assumption].
% 1.44/1.70 413 -class_Ring__and__Field_Osemiring__1(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Osemiring__1_0) # label(axiom). [assumption].
% 1.44/1.70 414 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Oaxclass__0__neq__1(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_1) # label(axiom). [assumption].
% 1.44/1.70 415 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__1_1) # label(axiom). [assumption].
% 1.44/1.70 416 class_Ring__and__Field_Osemiring__1(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_26) # label(axiom). [assumption].
% 1.44/1.70 417 class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_25) # label(axiom). [assumption].
% 1.44/1.70 418 class_Ring__and__Field_Osemiring__1(tc_nat) # label(clsarity_nat_25) # label(axiom). [assumption].
% 1.44/1.70 419 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Numeral_Onumber__ring_24) # label(axiom). [assumption].
% 1.44/1.70 420 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Power_Orecpower_17) # label(axiom). [assumption].
% 1.44/1.70 421 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_22) # label(axiom). [assumption].
% 1.44/1.70 422 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_16) # label(axiom). [assumption].
% 1.44/1.70 423 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_5) # label(axiom). [assumption].
% 1.44/1.70 424 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Ofield_10) # label(axiom). [assumption].
% 1.44/1.70 425 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oidom_10) # label(axiom). [assumption].
% 1.44/1.70 426 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_13) # label(axiom). [assumption].
% 1.44/1.70 427 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_10) # label(axiom). [assumption].
% 1.44/1.70 428 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_4) # label(axiom). [assumption].
% 1.44/1.70 429 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Oring__1_15) # label(axiom). [assumption].
% 1.44/1.70 430 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__1_10) # label(axiom). [assumption].
% 1.44/1.70 431 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Osemiring__1_2) # label(axiom). [assumption].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(431,a,421,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(431,a,422,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(431,a,424,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oidom(A). [resolve(431,a,425,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(431,a,426,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(431,a,427,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(431,a,428,b)].
% 1.44/1.70 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oring__1(A). [resolve(431,a,429,b)].
% 1.44/1.73 432 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1_5) # label(axiom). [assumption].
% 1.44/1.73 433 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__1_6) # label(axiom). [assumption].
% 1.44/1.73 434 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_7) # label(axiom). [assumption].
% 1.44/1.73 435 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_8) # label(axiom). [assumption].
% 1.44/1.73 436 -class_Ring__and__Field_Osemiring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1_9) # label(axiom). [assumption].
% 1.44/1.73 437 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_0) # label(axiom). [assumption].
% 1.44/1.73 438 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Oplus(A). [resolve(161,b,156,a)].
% 1.44/1.73 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(438,a,422,b)].
% 1.44/1.73 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(438,a,437,b)].
% 1.44/1.73 439 -class_Ring__and__Field_Osemiring__1(A) | class_HOL_Ozero(A). [resolve(229,b,227,a)].
% 1.44/1.73 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(439,a,422,b)].
% 1.44/1.73 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(439,a,423,b)].
% 1.44/1.73 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(439,a,428,b)].
% 1.44/1.73 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(439,a,429,b)].
% 1.44/1.73 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(439,a,437,b)].
% 1.44/1.73 440 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_1) # label(axiom). [assumption].
% 1.44/1.73 441 class_Ring__and__Field_Ocomm__semiring__1(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_27) # label(axiom). [assumption].
% 1.44/1.73 442 class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_26) # label(axiom). [assumption].
% 1.44/1.73 443 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) # label(clsarity_nat_26) # label(axiom). [assumption].
% 1.44/1.73 444 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Numeral_Onumber__ring_25) # label(axiom). [assumption].
% 1.44/1.73 445 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Power_Orecpower_18) # label(axiom). [assumption].
% 1.44/1.73 446 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_20) # label(axiom). [assumption].
% 1.44/1.73 447 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_10) # label(axiom). [assumption].
% 1.44/1.73 448 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_11) # label(axiom). [assumption].
% 1.44/1.73 449 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_12) # label(axiom). [assumption].
% 1.44/1.73 450 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_13) # label(axiom). [assumption].
% 1.44/1.73 451 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_14) # label(axiom). [assumption].
% 1.44/1.73 Derived: class_OrderedGroup_Ocomm__monoid__mult(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(451,a,441,a)].
% 1.44/1.73 Derived: class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint). [resolve(451,a,442,a)].
% 1.44/1.73 Derived: class_OrderedGroup_Ocomm__monoid__mult(tc_nat). [resolve(451,a,443,a)].
% 1.44/1.75 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(451,a,444,b)].
% 1.44/1.75 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Power_Orecpower(A). [resolve(451,a,445,b)].
% 1.44/1.75 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(451,a,446,b)].
% 1.44/1.75 452 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_2) # label(axiom). [assumption].
% 1.44/1.75 453 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_8) # label(axiom). [assumption].
% 1.44/1.75 454 -class_Ring__and__Field_Ocomm__semiring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1_9) # label(axiom). [assumption].
% 1.44/1.75 455 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_0) # label(axiom). [assumption].
% 1.44/1.75 456 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Ofield_7) # label(axiom). [assumption].
% 1.44/1.75 457 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oidom_7) # label(axiom). [assumption].
% 1.44/1.75 458 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_10) # label(axiom). [assumption].
% 1.44/1.75 459 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_7) # label(axiom). [assumption].
% 1.44/1.75 460 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__1(A) # label(clsrel_Ring__and__Field_Oordered__semidom_1) # label(axiom). [assumption].
% 1.44/1.75 461 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(125,a,136,b)].
% 1.44/1.75 462 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(155,a,136,b)].
% 1.44/1.75 463 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(156,a,136,b)].
% 1.44/1.75 464 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(157,a,136,b)].
% 1.44/1.75 465 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(158,a,136,b)].
% 1.44/1.75 466 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(226,a,203,b)].
% 1.44/1.75 467 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(227,a,203,b)].
% 1.44/1.75 468 class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(431,a,422,b)].
% 1.44/1.75 Derived: class_HOL_Oone(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(468,b,441,a)].
% 1.44/1.75 Derived: class_HOL_Oone(tc_IntDef_Oint). [resolve(468,b,442,a)].
% 1.44/1.75 Derived: class_HOL_Oone(tc_nat). [resolve(468,b,443,a)].
% 1.44/1.75 Derived: class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(468,b,444,b)].
% 1.44/1.75 Derived: class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(468,b,445,b)].
% 1.44/1.75 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(468,b,446,b)].
% 1.44/1.75 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(468,b,455,b)].
% 1.44/1.75 469 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(438,a,422,b)].
% 1.44/1.75 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(469,b,441,a)].
% 1.44/1.75 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(469,b,442,a)].
% 1.44/1.75 Derived: class_HOL_Oplus(tc_nat). [resolve(469,b,443,a)].
% 1.44/1.75 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(469,b,444,b)].
% 1.44/1.75 Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(469,b,445,b)].
% 1.44/1.75 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(469,b,446,b)].
% 1.44/1.75 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(469,b,455,b)].
% 1.44/1.75 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(469,b,456,b)].
% 1.44/1.77 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(469,b,457,b)].
% 1.44/1.77 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(469,b,458,b)].
% 1.44/1.77 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(469,b,459,b)].
% 1.44/1.77 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(469,b,460,b)].
% 1.44/1.77 470 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1(A). [resolve(439,a,422,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(470,b,441,a)].
% 1.44/1.77 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(470,b,442,a)].
% 1.44/1.77 Derived: class_HOL_Ozero(tc_nat). [resolve(470,b,443,a)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(470,b,444,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(470,b,445,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(470,b,446,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(470,b,456,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(470,b,457,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(470,b,458,b)].
% 1.44/1.77 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(470,b,459,b)].
% 1.44/1.77 471 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_10) # label(axiom). [assumption].
% 1.44/1.77 472 class_Ring__and__Field_Osemiring__1__cancel(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_28) # label(axiom). [assumption].
% 1.44/1.77 473 class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_27) # label(axiom). [assumption].
% 1.44/1.77 474 class_Ring__and__Field_Osemiring__1__cancel(tc_nat) # label(clsarity_nat_30) # label(axiom). [assumption].
% 1.44/1.77 475 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Numeral_Onumber__ring_26) # label(axiom). [assumption].
% 1.44/1.77 476 -class_Power_Orecpower(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Power_Orecpower_22) # label(axiom). [assumption].
% 1.44/1.77 477 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_27) # label(axiom). [assumption].
% 1.44/1.77 478 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_20) # label(axiom). [assumption].
% 1.44/1.77 479 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ofield_9) # label(axiom). [assumption].
% 1.44/1.77 480 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oidom_9) # label(axiom). [assumption].
% 1.44/1.77 481 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_12) # label(axiom). [assumption].
% 1.44/1.77 482 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_9) # label(axiom). [assumption].
% 1.44/1.77 483 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_3) # label(axiom). [assumption].
% 1.44/1.77 484 -class_Ring__and__Field_Oring__1(A) | class_Ring__and__Field_Osemiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oring__1_19) # label(axiom). [assumption].
% 1.44/1.77 485 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_11) # label(axiom). [assumption].
% 1.44/1.77 486 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_12) # label(axiom). [assumption].
% 1.44/1.77 487 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_4) # label(axiom). [assumption].
% 1.57/1.80 488 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_5) # label(axiom). [assumption].
% 1.57/1.80 489 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_6) # label(axiom). [assumption].
% 1.57/1.80 490 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_7) # label(axiom). [assumption].
% 1.57/1.80 491 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Osemiring__1__cancel_8) # label(axiom). [assumption].
% 1.57/1.80 492 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(77,b,76,b)].
% 1.57/1.80 493 class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(78,b,76,b)].
% 1.57/1.81 494 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Oone(A). [resolve(124,b,104,a)].
% 1.57/1.81 495 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(124,b,111,a)].
% 1.57/1.81 496 -class_Ring__and__Field_Osemiring__1__cancel(A) | class_HOL_Otimes(A). [resolve(124,b,112,a)].
% 1.57/1.81 497 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(296,a,295,b)].
% 1.57/1.81 Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(497,b,474,a)].
% 1.57/1.81 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(497,b,476,b)].
% 1.57/1.81 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(497,b,478,b)].
% 1.57/1.81 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(497,b,483,b)].
% 1.57/1.81 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(497,b,484,b)].
% 1.57/1.81 498 class_HOL_Oplus(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(438,a,437,b)].
% 1.57/1.81 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A). [resolve(498,b,484,b)].
% 1.57/1.81 499 class_HOL_Ozero(A) | -class_Ring__and__Field_Osemiring__1__cancel(A). [resolve(439,a,437,b)].
% 1.57/1.81 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(499,b,478,b)].
% 1.57/1.81 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(499,b,483,b)].
% 1.57/1.81 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(499,b,484,b)].
% 1.57/1.81 500 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oring__1_1) # label(axiom). [assumption].
% 1.57/1.81 501 class_Ring__and__Field_Oring__1(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_29) # label(axiom). [assumption].
% 1.57/1.81 502 class_Ring__and__Field_Oring__1(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_28) # label(axiom). [assumption].
% 1.57/1.81 503 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Numeral_Onumber__ring_27) # label(axiom). [assumption].
% 1.57/1.81 504 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_26) # label(axiom). [assumption].
% 1.57/1.81 505 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Ofield_2) # label(axiom). [assumption].
% 1.57/1.81 506 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oidom_2) # label(axiom). [assumption].
% 1.57/1.81 507 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oordered__field_5) # label(axiom). [assumption].
% 1.57/1.81 508 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_2) # label(axiom). [assumption].
% 1.57/1.81 509 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oring__1_10) # label(axiom). [assumption].
% 1.57/1.82 510 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_11) # label(axiom). [assumption].
% 1.57/1.82 511 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oring__1_12) # label(axiom). [assumption].
% 1.57/1.82 512 -class_Ring__and__Field_Oring__1(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oring__1_13) # label(axiom). [assumption].
% 1.57/1.82 513 -class_Ring__and__Field_Oring__1(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oring__1_14) # label(axiom). [assumption].
% 1.57/1.82 514 -class_Ring__and__Field_Oring__1(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oring__1_18) # label(axiom). [assumption].
% 1.57/1.82 515 -class_Ring__and__Field_Oring__1(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oring__1_2) # label(axiom). [assumption].
% 1.57/1.82 516 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oring__1_8) # label(axiom). [assumption].
% 1.57/1.82 517 -class_Ring__and__Field_Oring__1(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oring__1_9) # label(axiom). [assumption].
% 1.57/1.82 518 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(36,b,1,a)].
% 1.57/1.82 519 -class_Ring__and__Field_Oring__1(A) | class_HOL_Oplus(A). [resolve(36,b,8,a)].
% 1.57/1.82 520 -class_Ring__and__Field_Oring__1(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(74,b,39,a)].
% 1.57/1.82 521 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oring__1(A). [resolve(157,a,154,b)].
% 1.57/1.82 522 class_HOL_Otimes(A) | -class_Ring__and__Field_Oring__1(A). [resolve(158,a,154,b)].
% 1.57/1.82 523 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(226,a,221,b)].
% 1.57/1.82 524 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(227,a,221,b)].
% 1.57/1.82 525 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(296,a,288,b)].
% 1.57/1.82 526 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(297,a,288,b)].
% 1.57/1.82 527 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A). [resolve(298,a,288,b)].
% 1.57/1.82 528 class_HOL_Oone(A) | -class_Ring__and__Field_Oring__1(A). [resolve(431,a,429,b)].
% 1.57/1.82 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(528,b,505,b)].
% 1.57/1.82 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oidom(A). [resolve(528,b,506,b)].
% 1.57/1.82 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(528,b,507,b)].
% 1.57/1.82 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(528,b,508,b)].
% 1.57/1.82 529 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(439,a,429,b)].
% 1.57/1.82 530 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oring__1(A). [resolve(497,b,484,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(530,b,501,a)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(530,b,502,a)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(530,b,503,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(530,b,504,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(530,b,505,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(530,b,506,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(530,b,507,b)].
% 1.57/1.82 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(530,b,508,b)].
% 1.57/1.82 531 class_HOL_Oplus(A) | -class_Ring__and__Field_Oring__1(A). [resolve(498,b,484,b)].
% 1.57/1.82 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(531,b,501,a)].
% 1.57/1.82 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(531,b,502,a)].
% 1.57/1.82 Derived: class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(531,b,503,b)].
% 1.59/1.84 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(531,b,504,b)].
% 1.59/1.84 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(531,b,505,b)].
% 1.59/1.84 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(531,b,506,b)].
% 1.59/1.84 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(531,b,507,b)].
% 1.59/1.84 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(531,b,508,b)].
% 1.59/1.84 532 class_HOL_Ozero(A) | -class_Ring__and__Field_Oring__1(A). [resolve(499,b,484,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(532,b,501,a)].
% 1.59/1.84 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(532,b,502,a)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(532,b,503,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(532,b,504,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(532,b,505,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(532,b,506,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(532,b,507,b)].
% 1.59/1.84 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(532,b,508,b)].
% 1.59/1.84 533 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_10) # label(axiom). [assumption].
% 1.59/1.84 534 class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B) # label(clsarity_fun_30) # label(axiom). [assumption].
% 1.59/1.84 535 class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_29) # label(axiom). [assumption].
% 1.59/1.84 536 class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) # label(clsarity_nat_32) # label(axiom). [assumption].
% 1.59/1.84 537 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Numeral_Onumber__ring_28) # label(axiom). [assumption].
% 1.59/1.84 538 -class_Power_Orecpower(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Power_Orecpower_24) # label(axiom). [assumption].
% 1.59/1.84 539 -class_Ring__and__Field_Ocomm__ring__1(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_28) # label(axiom). [assumption].
% 1.59/1.84 540 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_11) # label(axiom). [assumption].
% 1.59/1.84 541 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_12) # label(axiom). [assumption].
% 1.59/1.84 542 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_13) # label(axiom). [assumption].
% 1.59/1.84 543 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_15) # label(axiom). [assumption].
% 1.59/1.84 544 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_16) # label(axiom). [assumption].
% 1.59/1.84 545 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_17) # label(axiom). [assumption].
% 1.59/1.84 546 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_3) # label(axiom). [assumption].
% 1.59/1.84 547 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ocomm__semiring__1__cancel_9) # label(axiom). [assumption].
% 1.59/1.84 548 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Ofield_6) # label(axiom). [assumption].
% 1.59/1.84 549 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oidom_6) # label(axiom). [assumption].
% 1.59/1.86 550 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__field_9) # label(axiom). [assumption].
% 1.59/1.86 Derived: -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Ocomm__monoid__mult(A). [resolve(550,b,546,a)].
% 1.59/1.86 551 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__idom_6) # label(axiom). [assumption].
% 1.59/1.86 552 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Ocomm__semiring__1__cancel(A) # label(clsrel_Ring__and__Field_Oordered__semidom_0) # label(axiom). [assumption].
% 1.59/1.86 553 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(21,b,1,a)].
% 1.59/1.86 554 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oplus(A). [resolve(21,b,8,a)].
% 1.59/1.86 555 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(59,b,39,a)].
% 1.59/1.86 556 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(94,b,79,a)].
% 1.59/1.86 557 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Otimes(A). [resolve(94,b,85,a)].
% 1.59/1.86 558 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(188,b,178,b)].
% 1.59/1.86 559 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(189,b,178,b)].
% 1.59/1.86 560 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(190,b,178,b)].
% 1.59/1.86 561 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(191,b,178,b)].
% 1.59/1.86 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(561,b,536,a)].
% 1.59/1.86 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A). [resolve(561,b,538,b)].
% 1.59/1.86 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(561,b,539,b)].
% 1.59/1.86 562 class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(192,b,178,b)].
% 1.59/1.86 Derived: class_HOL_Otimes(tc_nat). [resolve(562,b,536,a)].
% 1.59/1.86 Derived: class_HOL_Otimes(A) | -class_Power_Orecpower(A). [resolve(562,b,538,b)].
% 1.59/1.86 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(562,b,539,b)].
% 1.59/1.86 563 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(226,a,204,b)].
% 1.59/1.86 564 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(227,a,204,b)].
% 1.59/1.86 565 -class_Ring__and__Field_Ocomm__semiring__1__cancel(A) | class_HOL_Oone(A). [resolve(406,b,403,a)].
% 1.59/1.86 566 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(439,a,423,b)].
% 1.59/1.86 567 class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(468,b,455,b)].
% 1.59/1.86 Derived: class_HOL_Oone(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(567,b,534,a)].
% 1.59/1.86 Derived: class_HOL_Oone(tc_IntDef_Oint). [resolve(567,b,535,a)].
% 1.59/1.86 Derived: class_HOL_Oone(tc_nat). [resolve(567,b,536,a)].
% 1.59/1.86 Derived: class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(567,b,537,b)].
% 1.59/1.86 Derived: class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(567,b,538,b)].
% 1.59/1.86 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(567,b,539,b)].
% 1.59/1.86 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(567,b,552,b)].
% 1.59/1.86 568 class_HOL_Oplus(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(469,b,455,b)].
% 1.59/1.86 Derived: class_HOL_Oplus(tc_nat). [resolve(568,b,536,a)].
% 1.59/1.86 Derived: class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(568,b,538,b)].
% 1.59/1.86 569 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(497,b,478,b)].
% 1.59/1.86 Derived: class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(569,b,536,a)].
% 1.59/1.87 Derived: class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(569,b,538,b)].
% 1.59/1.87 570 class_HOL_Ozero(A) | -class_Ring__and__Field_Ocomm__semiring__1__cancel(A). [resolve(499,b,478,b)].
% 1.59/1.87 Derived: class_HOL_Ozero(tc_nat). [resolve(570,b,536,a)].
% 1.59/1.87 Derived: class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(570,b,538,b)].
% 1.59/1.87 571 -class_OrderedGroup_Oab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Oab__semigroup__add_0) # label(axiom). [assumption].
% 1.59/1.87 572 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__add(B) # label(clsarity_fun_8) # label(axiom). [assumption].
% 1.59/1.87 573 class_OrderedGroup_Oab__semigroup__add(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__add(A) # label(clsarity_set_11) # label(axiom). [assumption].
% 1.59/1.87 574 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_7) # label(axiom). [assumption].
% 1.59/1.87 575 class_OrderedGroup_Oab__semigroup__add(tc_nat) # label(clsarity_nat_15) # label(axiom). [assumption].
% 1.59/1.87 576 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Numeral_Onumber__ring_2) # label(axiom). [assumption].
% 1.59/1.87 577 -class_OrderedGroup_Oab__group__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Oab__group__add_3) # label(axiom). [assumption].
% 1.59/1.87 Derived: class_OrderedGroup_Osemigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__add(B). [resolve(571,a,572,a)].
% 1.59/1.87 Derived: class_OrderedGroup_Osemigroup__add(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__add(A). [resolve(571,a,573,a)].
% 1.59/1.87 578 -class_OrderedGroup_Oab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Oab__semigroup__add_1) # label(axiom). [assumption].
% 1.59/1.87 Derived: class_HOL_Oplus(tc_fun(A,B)) | -class_OrderedGroup_Ocomm__monoid__add(B). [resolve(578,a,572,a)].
% 1.59/1.87 Derived: class_HOL_Oplus(tc_set(A)) | -class_OrderedGroup_Ocomm__monoid__add(A). [resolve(578,a,573,a)].
% 1.59/1.87 579 -class_OrderedGroup_Ocomm__monoid__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Ocomm__monoid__add_1) # label(axiom). [assumption].
% 1.59/1.87 580 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_11) # label(axiom). [assumption].
% 1.59/1.87 581 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_10) # label(axiom). [assumption].
% 1.59/1.87 582 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_11) # label(axiom). [assumption].
% 1.59/1.87 583 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_11) # label(axiom). [assumption].
% 1.59/1.87 584 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_5) # label(axiom). [assumption].
% 1.59/1.87 585 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_5) # label(axiom). [assumption].
% 1.59/1.87 586 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_2) # label(axiom). [assumption].
% 1.59/1.87 587 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_5) # label(axiom). [assumption].
% 1.59/1.87 588 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_3) # label(axiom). [assumption].
% 1.59/1.87 589 -class_Power_Orecpower(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Power_Orecpower_6) # label(axiom). [assumption].
% 1.59/1.87 590 -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ocomm__ring__1_16) # label(axiom). [assumption].
% 1.59/1.88 591 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_26) # label(axiom). [assumption].
% 1.59/1.88 592 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_26) # label(axiom). [assumption].
% 1.59/1.88 593 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_20) # label(axiom). [assumption].
% 1.59/1.88 594 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_8) # label(axiom). [assumption].
% 1.59/1.88 595 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_27) # label(axiom). [assumption].
% 1.59/1.88 596 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_26) # label(axiom). [assumption].
% 1.59/1.88 597 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_11) # label(axiom). [assumption].
% 1.59/1.88 598 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_20) # label(axiom). [assumption].
% 1.59/1.88 599 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_5) # label(axiom). [assumption].
% 1.59/1.88 600 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_11) # label(axiom). [assumption].
% 1.59/1.88 601 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_8) # label(axiom). [assumption].
% 1.59/1.88 602 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_16) # label(axiom). [assumption].
% 1.59/1.88 603 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_8) # label(axiom). [assumption].
% 1.59/1.88 604 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_11) # label(axiom). [assumption].
% 1.59/1.88 605 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_5) # label(axiom). [assumption].
% 1.59/1.88 606 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_OrderedGroup_Oab__group__add(B). [resolve(39,a,40,a)].
% 1.59/1.88 607 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(39,a,41,a)].
% 1.59/1.88 608 class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(39,a,42,a)].
% 1.59/1.88 609 class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(39,a,43,b)].
% 1.59/1.88 610 class_OrderedGroup_Oab__semigroup__add(A) | -class_OrderedGroup_Oab__group__add(A). [resolve(39,a,44,b)].
% 1.59/1.88 611 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(48,b,39,a)].
% 1.59/1.88 612 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(54,b,39,a)].
% 1.59/1.88 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(612,b,571,a)].
% 1.59/1.88 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A). [resolve(612,b,578,a)].
% 1.59/1.88 613 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(66,b,39,a)].
% 1.59/1.88 614 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(69,b,39,a)].
% 1.59/1.89 615 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__semigroup__add(A). [resolve(72,b,39,a)].
% 1.59/1.89 616 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(125,a,126,a)].
% 1.59/1.89 617 class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(125,a,130,b)].
% 1.59/1.89 618 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(125,a,132,b)].
% 1.59/1.89 619 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(125,a,138,b)].
% 1.59/1.89 620 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(125,a,139,b)].
% 1.59/1.89 621 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(125,a,140,b)].
% 1.59/1.89 622 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(125,a,141,b)].
% 1.59/1.89 623 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(125,a,142,b)].
% 1.59/1.89 624 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(125,a,143,b)].
% 1.59/1.89 625 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(125,a,145,b)].
% 1.59/1.89 626 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(125,a,146,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(626,a,571,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | class_HOL_Oplus(A). [resolve(626,a,578,a)].
% 1.59/1.89 627 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(125,a,148,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(627,a,571,a)].
% 1.59/1.89 628 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(125,a,149,b)].
% 1.59/1.89 629 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(125,a,150,b)].
% 1.59/1.89 630 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(125,a,152,b)].
% 1.59/1.89 631 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(188,b,164,a)].
% 1.59/1.89 632 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(188,b,165,a)].
% 1.59/1.89 633 class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(188,b,166,a)].
% 1.59/1.89 634 class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(188,b,167,b)].
% 1.59/1.89 635 class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(188,b,168,b)].
% 1.59/1.89 636 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(188,b,170,b)].
% 1.59/1.89 637 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(188,b,185,b)].
% 1.59/1.89 638 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(296,a,280,b)].
% 1.59/1.89 639 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(296,a,286,b)].
% 1.59/1.89 640 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(329,b,300,a)].
% 1.59/1.89 641 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(329,b,301,a)].
% 1.59/1.89 642 class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(329,b,302,b)].
% 1.59/1.89 643 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(329,b,304,b)].
% 1.59/1.89 644 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(329,b,305,b)].
% 1.59/1.89 645 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(329,b,306,b)].
% 1.59/1.89 646 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(329,b,307,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(646,a,571,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Oplus(A). [resolve(646,a,578,a)].
% 1.59/1.89 647 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(329,b,308,b)].
% 1.59/1.89 648 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(329,b,309,b)].
% 1.59/1.89 649 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(329,b,310,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(649,a,571,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Oplus(A). [resolve(649,a,578,a)].
% 1.59/1.89 650 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(329,b,311,b)].
% 1.59/1.89 651 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(329,b,312,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(651,a,571,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Oplus(A). [resolve(651,a,578,a)].
% 1.59/1.89 652 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(394,b,361,a)].
% 1.59/1.89 653 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(394,b,362,a)].
% 1.59/1.89 654 class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(394,b,363,b)].
% 1.59/1.89 655 class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(497,b,474,a)].
% 1.59/1.89 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(655,a,571,a)].
% 1.59/1.89 656 class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(497,b,476,b)].
% 1.59/1.89 Derived: -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(656,a,571,a)].
% 1.59/1.89 657 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(497,b,483,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(657,a,571,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Oplus(A). [resolve(657,a,578,a)].
% 1.59/1.89 658 class_OrderedGroup_Oab__semigroup__add(tc_fun(A,B)) | -class_Ring__and__Field_Ocomm__ring__1(B). [resolve(530,b,501,a)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Osemigroup__add(tc_fun(B,A)). [resolve(658,a,571,a)].
% 1.59/1.89 659 class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint). [resolve(530,b,502,a)].
% 1.59/1.89 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(659,a,571,a)].
% 1.59/1.89 660 class_OrderedGroup_Oab__semigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(530,b,503,b)].
% 1.59/1.89 Derived: -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(660,a,571,a)].
% 1.59/1.89 661 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ocomm__ring__1(A). [resolve(530,b,504,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Ocomm__ring__1(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(661,a,571,a)].
% 1.59/1.89 662 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(530,b,505,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(662,a,571,a)].
% 1.59/1.89 663 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(530,b,506,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(663,a,571,a)].
% 1.59/1.89 664 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(530,b,507,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(664,a,571,a)].
% 1.59/1.89 665 class_OrderedGroup_Oab__semigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(530,b,508,b)].
% 1.59/1.89 Derived: -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(665,a,571,a)].
% 1.59/1.89 666 class_OrderedGroup_Oab__semigroup__add(tc_nat). [resolve(569,b,536,a)].
% 1.59/1.89 Derived: class_HOL_Oplus(tc_nat). [resolve(666,a,578,a)].
% 1.59/1.90 667 class_OrderedGroup_Oab__semigroup__add(A) | -class_Power_Orecpower(A). [resolve(569,b,538,b)].
% 1.59/1.90 Derived: -class_Power_Orecpower(A) | class_HOL_Oplus(A). [resolve(667,a,578,a)].
% 1.59/1.90 668 class_Orderings_Oorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_31) # label(axiom). [assumption].
% 1.59/1.90 669 -class_Orderings_Oorder(A) | -c_less(B,B,A) # label(cls_Orderings_Oorder__less__irrefl__iff1_0) # label(axiom). [assumption].
% 1.59/1.90 670 -class_Orderings_Oorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeast__subset__iff__iff1_0) # label(axiom). [assumption].
% 1.59/1.90 671 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)) # label(cls_SetInterval_OatLeast__subset__iff__iff2_0) # label(axiom). [assumption].
% 1.59/1.90 672 -class_Orderings_Oorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A) # label(cls_SetInterval_OatMost__subset__iff__iff1_0) # label(axiom). [assumption].
% 1.59/1.90 673 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) # label(cls_SetInterval_OatMost__subset__iff__iff2_0) # label(axiom). [assumption].
% 1.59/1.90 674 -class_Orderings_Oorder(A) | c_lessequals(B,B,A) # label(cls_Orderings_Oorder__class_Oaxioms__1_0) # label(axiom). [assumption].
% 1.59/1.90 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(668,a,669,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(668,a,670,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(668,a,671,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(668,a,672,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(668,a,673,a)].
% 1.59/1.90 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(668,a,674,a)].
% 1.59/1.90 675 class_Orderings_Oorder(tc_nat) # label(clsarity_nat_3) # label(axiom). [assumption].
% 1.59/1.90 Derived: -c_less(A,A,tc_nat). [resolve(675,a,669,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(675,a,670,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(675,a,671,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(675,a,672,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(675,a,673,a)].
% 1.59/1.90 Derived: c_lessequals(A,A,tc_nat). [resolve(675,a,674,a)].
% 1.59/1.90 676 class_Orderings_Oorder(tc_set(A)) # label(clsarity_set_2) # label(axiom). [assumption].
% 1.59/1.90 Derived: -c_less(A,A,tc_set(B)). [resolve(676,a,669,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_set(B)),c_SetInterval_OatLeast(C,tc_set(B)),tc_set(tc_set(B))) | c_lessequals(C,A,tc_set(B)). [resolve(676,a,670,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_set(C)) | c_lessequals(c_SetInterval_OatLeast(B,tc_set(C)),c_SetInterval_OatLeast(A,tc_set(C)),tc_set(tc_set(C))). [resolve(676,a,671,a)].
% 1.59/1.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_set(B)),c_SetInterval_OatMost(C,tc_set(B)),tc_set(tc_set(B))) | c_lessequals(A,C,tc_set(B)). [resolve(676,a,672,a)].
% 1.59/1.90 Derived: -c_lessequals(A,B,tc_set(C)) | c_lessequals(c_SetInterval_OatMost(A,tc_set(C)),c_SetInterval_OatMost(B,tc_set(C)),tc_set(tc_set(C))). [resolve(676,a,673,a)].
% 1.59/1.90 Derived: c_lessequals(A,A,tc_set(B)). [resolve(676,a,674,a)].
% 1.59/1.90 677 -class_LOrder_Ojoin__semilorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Ojoin__semilorder_1) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_less(B,B,A). [resolve(677,b,669,a)].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(677,b,670,a)].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(677,b,671,a)].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(677,b,672,a)].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(677,b,673,a)].
% 1.59/1.91 Derived: -class_LOrder_Ojoin__semilorder(A) | c_lessequals(B,B,A). [resolve(677,b,674,a)].
% 1.59/1.91 678 -class_LOrder_Olorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Olorder_2) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | -c_less(B,B,A). [resolve(678,b,669,a)].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(678,b,670,a)].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(678,b,671,a)].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(678,b,672,a)].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(678,b,673,a)].
% 1.59/1.91 Derived: -class_LOrder_Olorder(A) | c_lessequals(B,B,A). [resolve(678,b,674,a)].
% 1.59/1.91 679 -class_LOrder_Omeet__semilorder(A) | class_Orderings_Oorder(A) # label(clsrel_LOrder_Omeet__semilorder_1) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | -c_less(B,B,A). [resolve(679,b,669,a)].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(679,b,670,a)].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(679,b,671,a)].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(679,b,672,a)].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(679,b,673,a)].
% 1.59/1.91 Derived: -class_LOrder_Omeet__semilorder(A) | c_lessequals(B,B,A). [resolve(679,b,674,a)].
% 1.59/1.91 680 -class_OrderedGroup_Olordered__ab__group(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_8) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,B,A). [resolve(680,b,669,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(680,b,670,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(680,b,671,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(680,b,672,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(680,b,673,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(B,B,A). [resolve(680,b,674,a)].
% 1.59/1.91 681 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_17) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,B,A). [resolve(681,b,669,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(681,b,670,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(681,b,671,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(681,b,672,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(681,b,673,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(B,B,A). [resolve(681,b,674,a)].
% 1.59/1.91 682 -class_OrderedGroup_Olordered__ab__group__join(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_8) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,B,A). [resolve(682,b,669,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(682,b,670,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(682,b,671,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(682,b,672,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(682,b,673,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | c_lessequals(B,B,A). [resolve(682,b,674,a)].
% 1.59/1.91 683 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_8) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,B,A). [resolve(683,b,669,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(683,b,670,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(683,b,671,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(683,b,672,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(683,b,673,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | c_lessequals(B,B,A). [resolve(683,b,674,a)].
% 1.59/1.91 684 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) # label(axiom). [assumption].
% 1.59/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(684,b,669,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(684,b,670,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(684,b,671,a)].
% 1.59/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(684,b,672,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(684,b,673,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(684,b,674,a)].
% 1.68/1.91 685 -class_OrderedGroup_Opordered__ab__group__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_10) # label(axiom). [assumption].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,B,A). [resolve(685,b,669,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(685,b,670,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(685,b,671,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(685,b,672,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(685,b,673,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,B,A). [resolve(685,b,674,a)].
% 1.68/1.91 686 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) # label(axiom). [assumption].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(686,b,669,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(686,b,670,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(686,b,671,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(686,b,672,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(686,b,673,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(686,b,674,a)].
% 1.68/1.91 687 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) # label(axiom). [assumption].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,B,A). [resolve(687,b,669,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(687,b,670,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(687,b,671,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(687,b,672,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(687,b,673,a)].
% 1.68/1.91 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_lessequals(B,B,A). [resolve(687,b,674,a)].
% 1.68/1.91 688 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_Orderings_Oorder(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(688,b,669,a)].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(688,b,670,a)].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(688,b,671,a)].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(688,b,672,a)].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(688,b,673,a)].
% 1.68/1.92 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(688,b,674,a)].
% 1.68/1.92 689 -class_Orderings_Olinorder(A) | class_Orderings_Oorder(A) # label(clsrel_Orderings_Olinorder_4) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | -c_less(B,B,A). [resolve(689,b,669,a)].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(689,b,670,a)].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(689,b,671,a)].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(689,b,672,a)].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(689,b,673,a)].
% 1.68/1.92 Derived: -class_Orderings_Olinorder(A) | c_lessequals(B,B,A). [resolve(689,b,674,a)].
% 1.68/1.92 690 -class_Orderings_Oorder(A) | class_Orderings_Oord(A) # label(clsrel_Orderings_Oorder_0) # label(axiom). [assumption].
% 1.68/1.92 Derived: class_Orderings_Oord(tc_IntDef_Oint). [resolve(690,a,668,a)].
% 1.68/1.92 Derived: class_Orderings_Oord(tc_nat). [resolve(690,a,675,a)].
% 1.68/1.92 Derived: class_Orderings_Oord(tc_set(A)). [resolve(690,a,676,a)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_LOrder_Ojoin__semilorder(A). [resolve(690,a,677,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_LOrder_Olorder(A). [resolve(690,a,678,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_LOrder_Omeet__semilorder(A). [resolve(690,a,679,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(690,a,680,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(690,a,681,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(690,a,682,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(690,a,683,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(690,a,684,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(690,a,685,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add(A). [resolve(690,a,686,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(690,a,687,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A). [resolve(690,a,688,b)].
% 1.68/1.92 Derived: class_Orderings_Oord(A) | -class_Orderings_Olinorder(A). [resolve(690,a,689,b)].
% 1.68/1.92 691 -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_10) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,B,A). [resolve(691,b,669,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(691,b,670,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(691,b,671,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(691,b,672,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(691,b,673,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Olordered__ring(A) | c_lessequals(B,B,A). [resolve(691,b,674,a)].
% 1.68/1.92 692 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,B,A). [resolve(692,b,669,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(692,b,670,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(692,b,671,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(692,b,672,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(692,b,673,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_lessequals(B,B,A). [resolve(692,b,674,a)].
% 1.68/1.92 693 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__field_58) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_less(B,B,A). [resolve(693,b,669,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(693,b,670,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(693,b,671,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(693,b,672,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(693,b,673,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__field(A) | c_lessequals(B,B,A). [resolve(693,b,674,a)].
% 1.68/1.92 694 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_44) # label(axiom). [assumption].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,B,A). [resolve(694,b,669,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(694,b,670,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(694,b,671,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(694,b,672,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(694,b,673,a)].
% 1.68/1.92 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_lessequals(B,B,A). [resolve(694,b,674,a)].
% 1.68/1.93 695 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_26) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,B,A). [resolve(695,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(695,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(695,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(695,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(695,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_lessequals(B,B,A). [resolve(695,b,674,a)].
% 1.68/1.93 696 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_38) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,B,A). [resolve(696,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(696,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(696,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(696,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(696,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(B,B,A). [resolve(696,b,674,a)].
% 1.68/1.93 697 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_17) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,B,A). [resolve(697,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(697,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(697,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(697,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(697,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_lessequals(B,B,A). [resolve(697,b,674,a)].
% 1.68/1.93 698 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,B,A). [resolve(698,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(698,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(698,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(698,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(698,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | c_lessequals(B,B,A). [resolve(698,b,674,a)].
% 1.68/1.93 699 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_11) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,B,A). [resolve(699,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(699,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(699,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(699,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(699,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | c_lessequals(B,B,A). [resolve(699,b,674,a)].
% 1.68/1.93 700 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_23) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_less(B,B,A). [resolve(700,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(700,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(700,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(700,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(700,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | c_lessequals(B,B,A). [resolve(700,b,674,a)].
% 1.68/1.93 701 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_13) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,B,A). [resolve(701,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(701,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(701,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(701,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(701,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | c_lessequals(B,B,A). [resolve(701,b,674,a)].
% 1.68/1.93 702 -class_Ring__and__Field_Opordered__ring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__ring_17) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,B,A). [resolve(702,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(702,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(702,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(702,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(702,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__ring(A) | c_lessequals(B,B,A). [resolve(702,b,674,a)].
% 1.68/1.93 703 -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oorder(A) # label(clsrel_Ring__and__Field_Opordered__semiring_10) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,B,A). [resolve(703,b,669,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(703,b,670,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(703,b,671,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(703,b,672,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(703,b,673,a)].
% 1.68/1.93 Derived: -class_Ring__and__Field_Opordered__semiring(A) | c_lessequals(B,B,A). [resolve(703,b,674,a)].
% 1.68/1.93 704 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_1) # label(axiom). [assumption].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,B,A). [resolve(704,b,669,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(704,b,670,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(704,b,671,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(704,b,672,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(704,b,673,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A). [resolve(704,b,674,a)].
% 1.68/1.93 Derived: -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A). [resolve(704,b,690,a)].
% 1.68/1.93 705 -class_Orderings_Oorder(A) | -c_lessequals(B,C,A) | -c_lessequals(D,B,A) | c_lessequals(D,C,A) # label(cls_Orderings_Oorder__class_Oorder__trans_0) # label(axiom). [assumption].
% 1.68/1.93 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(705,a,668,a)].
% 1.68/1.93 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(705,a,675,a)].
% 1.68/1.93 Derived: -c_lessequals(A,B,tc_set(C)) | -c_lessequals(D,A,tc_set(C)) | c_lessequals(D,B,tc_set(C)). [resolve(705,a,676,a)].
% 1.68/1.93 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Ojoin__semilorder(C). [resolve(705,a,677,b)].
% 1.68/1.93 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Olorder(C). [resolve(705,a,678,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Omeet__semilorder(C). [resolve(705,a,679,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(705,a,680,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(705,a,681,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(705,a,682,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(705,a,683,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(705,a,684,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(705,a,685,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add(C). [resolve(705,a,686,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(705,a,687,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C). [resolve(705,a,688,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Orderings_Olinorder(C). [resolve(705,a,689,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(705,a,691,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(705,a,692,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(705,a,693,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(705,a,694,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(705,a,695,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(705,a,696,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(705,a,697,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(705,a,698,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(705,a,699,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(705,a,700,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(705,a,701,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(705,a,702,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__semiring(C). [resolve(705,a,703,b)].
% 1.68/1.96 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(705,a,704,b)].
% 1.68/1.96 706 class_Orderings_Olinorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_35) # label(axiom). [assumption].
% 1.68/1.96 707 -class_Orderings_Olinorder(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C # label(cls_SetInterval_OatLeast__eq__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 708 -class_Orderings_Olinorder(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C # label(cls_SetInterval_OatMost__eq__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 709 -class_Orderings_Olinorder(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C # label(cls_SetInterval_OgreaterThan__eq__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 710 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A) # label(cls_SetInterval_OgreaterThan__subset__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 711 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)) # label(cls_SetInterval_OgreaterThan__subset__iff__iff2_0) # label(axiom). [assumption].
% 1.68/1.97 712 -class_Orderings_Olinorder(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C # label(cls_SetInterval_OlessThan__eq__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 713 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A) # label(cls_SetInterval_OlessThan__subset__iff__iff1_0) # label(axiom). [assumption].
% 1.68/1.97 714 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) # label(cls_SetInterval_OlessThan__subset__iff__iff2_0) # label(axiom). [assumption].
% 1.68/1.97 Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B. [resolve(706,a,707,a)].
% 1.68/1.97 Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B. [resolve(706,a,708,a)].
% 1.68/1.97 Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B. [resolve(706,a,709,a)].
% 1.68/1.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(706,a,710,a)].
% 1.68/1.97 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(706,a,711,a)].
% 1.68/1.97 Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B. [resolve(706,a,712,a)].
% 1.68/1.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(706,a,713,a)].
% 1.68/1.97 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(706,a,714,a)].
% 1.68/1.97 715 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat_7) # label(axiom). [assumption].
% 1.68/1.97 Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B. [resolve(715,a,707,a)].
% 1.68/1.97 Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B. [resolve(715,a,708,a)].
% 1.68/1.97 Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B. [resolve(715,a,709,a)].
% 1.68/1.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(715,a,710,a)].
% 1.68/1.97 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)). [resolve(715,a,711,a)].
% 1.68/1.97 Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B. [resolve(715,a,712,a)].
% 1.68/1.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(715,a,713,a)].
% 1.68/1.97 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)). [resolve(715,a,714,a)].
% 1.68/1.97 716 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Olinorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) # label(axiom). [assumption].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(716,b,707,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(716,b,708,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(716,b,709,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(716,b,710,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(716,b,711,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(716,b,712,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(716,b,713,a)].
% 1.68/1.97 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(716,b,714,a)].
% 1.68/1.97 717 -class_Orderings_Olinorder(A) | class_LOrder_Olorder(A) # label(clsrel_Orderings_Olinorder_0) # label(axiom). [assumption].
% 1.68/1.97 Derived: class_LOrder_Olorder(tc_IntDef_Oint). [resolve(717,a,706,a)].
% 1.68/1.97 Derived: class_LOrder_Olorder(tc_nat). [resolve(717,a,715,a)].
% 1.68/1.97 Derived: class_LOrder_Olorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(717,a,716,b)].
% 1.68/1.97 718 -class_Orderings_Olinorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Orderings_Olinorder_1) # label(axiom). [assumption].
% 1.68/1.97 Derived: class_LOrder_Ojoin__semilorder(tc_IntDef_Oint). [resolve(718,a,706,a)].
% 1.68/1.97 Derived: class_LOrder_Ojoin__semilorder(tc_nat). [resolve(718,a,715,a)].
% 1.68/1.97 Derived: class_LOrder_Ojoin__semilorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(718,a,716,b)].
% 1.68/1.97 719 -class_Orderings_Olinorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Orderings_Olinorder_2) # label(axiom). [assumption].
% 1.68/1.97 Derived: class_LOrder_Omeet__semilorder(tc_IntDef_Oint). [resolve(719,a,706,a)].
% 1.68/1.97 Derived: class_LOrder_Omeet__semilorder(tc_nat). [resolve(719,a,715,a)].
% 1.68/1.97 Derived: class_LOrder_Omeet__semilorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(719,a,716,b)].
% 1.68/1.97 720 -class_Orderings_Olinorder(A) | class_Orderings_Oord(A) # label(clsrel_Orderings_Olinorder_3) # label(axiom). [assumption].
% 1.68/1.97 721 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) # label(axiom). [assumption].
% 1.68/1.97 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(721,b,707,a)].
% 1.68/1.97 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(721,b,708,a)].
% 1.68/1.97 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(721,b,709,a)].
% 1.68/1.97 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(721,b,710,a)].
% 1.68/1.97 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(721,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(721,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(721,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(721,b,714,a)].
% 1.68/1.98 722 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__field_41) # label(axiom). [assumption].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(722,b,707,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(722,b,708,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(722,b,709,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(722,b,710,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(722,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(722,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(722,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(722,b,714,a)].
% 1.68/1.98 723 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_33) # label(axiom). [assumption].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(723,b,707,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(723,b,708,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(723,b,709,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(723,b,710,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(723,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(723,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(723,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(723,b,714,a)].
% 1.68/1.98 724 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_17) # label(axiom). [assumption].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(724,b,707,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(724,b,708,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(724,b,709,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(724,b,710,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(724,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(724,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(724,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(724,b,714,a)].
% 1.68/1.98 725 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_27) # label(axiom). [assumption].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(725,b,707,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(725,b,708,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(725,b,709,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(725,b,710,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(725,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(725,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(725,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(725,b,714,a)].
% 1.68/1.98 726 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Olinorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_10) # label(axiom). [assumption].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(726,b,707,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(726,b,708,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(726,b,709,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(726,b,710,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(726,b,711,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(726,b,712,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(726,b,713,a)].
% 1.68/1.98 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(726,b,714,a)].
% 1.75/2.00 727 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Olinorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_5) # label(axiom). [assumption].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(727,b,707,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(727,b,708,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(727,b,709,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(727,b,710,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(727,b,711,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(727,b,712,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(727,b,713,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(727,b,714,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Olorder(A). [resolve(727,b,717,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Ojoin__semilorder(A). [resolve(727,b,718,a)].
% 1.75/2.00 Derived: -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Omeet__semilorder(A). [resolve(727,b,719,a)].
% 1.75/2.00 728 -class_Orderings_Olinorder(A) | -c_less(B,B,A). [resolve(689,b,669,a)].
% 1.75/2.00 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(728,a,706,a)].
% 1.75/2.00 Derived: -c_less(A,A,tc_nat). [resolve(728,a,715,a)].
% 1.75/2.00 Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(728,a,716,b)].
% 1.75/2.00 729 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(689,b,670,a)].
% 1.75/2.00 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(729,a,706,a)].
% 1.75/2.00 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(729,a,715,a)].
% 1.75/2.00 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(729,a,716,b)].
% 1.75/2.00 730 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(689,b,671,a)].
% 1.75/2.00 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(730,a,706,a)].
% 1.75/2.00 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(730,a,715,a)].
% 1.75/2.00 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(730,a,716,b)].
% 1.75/2.00 731 -class_Orderings_Olinorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(689,b,672,a)].
% 1.75/2.00 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(731,a,706,a)].
% 1.75/2.02 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(731,a,715,a)].
% 1.75/2.02 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(731,a,716,b)].
% 1.75/2.02 732 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(689,b,673,a)].
% 1.75/2.02 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(732,a,706,a)].
% 1.75/2.02 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(732,a,715,a)].
% 1.75/2.02 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(732,a,716,b)].
% 1.75/2.02 733 -class_Orderings_Olinorder(A) | c_lessequals(B,B,A). [resolve(689,b,674,a)].
% 1.75/2.02 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(733,a,706,a)].
% 1.75/2.02 Derived: c_lessequals(A,A,tc_nat). [resolve(733,a,715,a)].
% 1.75/2.02 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(733,a,716,b)].
% 1.75/2.02 734 class_Orderings_Oord(A) | -class_Orderings_Olinorder(A). [resolve(690,a,689,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(tc_IntDef_Oint). [resolve(734,b,706,a)].
% 1.75/2.02 Derived: class_Orderings_Oord(tc_nat). [resolve(734,b,715,a)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(734,b,716,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(734,b,721,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(734,b,722,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(734,b,723,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(734,b,724,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(734,b,725,b)].
% 1.75/2.02 Derived: class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(734,b,726,b)].
% 1.75/2.02 735 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Orderings_Olinorder(C). [resolve(705,a,689,b)].
% 1.75/2.02 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(735,d,706,a)].
% 1.75/2.02 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(735,d,715,a)].
% 1.75/2.02 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(735,d,716,b)].
% 1.75/2.02 736 class_Orderings_Oord(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_5) # label(axiom). [assumption].
% 1.75/2.02 737 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A) # label(cls_SetInterval_OatLeast__iff__iff1_0) # label(axiom). [assumption].
% 1.75/2.02 738 -class_Orderings_Oord(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A) # label(cls_SetInterval_OatLeast__iff__iff2_0) # label(axiom). [assumption].
% 1.75/2.02 739 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A) # label(cls_SetInterval_OatMost__iff__iff1_0) # label(axiom). [assumption].
% 1.75/2.02 740 -class_Orderings_Oord(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A) # label(cls_SetInterval_OatMost__iff__iff2_0) # label(axiom). [assumption].
% 1.75/2.02 741 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A) # label(cls_SetInterval_OgreaterThan__iff__iff1_0) # label(axiom). [assumption].
% 1.75/2.02 742 -class_Orderings_Oord(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A) # label(cls_SetInterval_OgreaterThan__iff__iff2_0) # label(axiom). [assumption].
% 1.75/2.02 743 -class_Orderings_Oord(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A) # label(cls_SetInterval_OlessThan__iff__iff1_0) # label(axiom). [assumption].
% 1.75/2.03 744 -class_Orderings_Oord(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A) # label(cls_SetInterval_OlessThan__iff__iff2_0) # label(axiom). [assumption].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(736,a,737,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(736,a,738,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(736,a,739,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(736,a,740,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(736,a,741,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(736,a,742,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(736,a,743,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(736,a,744,a)].
% 1.75/2.03 745 class_Orderings_Oord(tc_nat) # label(clsarity_nat_2) # label(axiom). [assumption].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(745,a,737,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(745,a,738,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(745,a,739,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(745,a,740,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(745,a,741,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(745,a,742,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(745,a,743,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(745,a,744,a)].
% 1.75/2.03 746 class_Orderings_Oord(tc_set(A)) # label(clsarity_set_1) # label(axiom). [assumption].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_set(C)),tc_set(C)) | c_lessequals(B,A,tc_set(C)). [resolve(746,a,737,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_set(C)) | c_in(B,c_SetInterval_OatLeast(A,tc_set(C)),tc_set(C)). [resolve(746,a,738,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_set(C)),tc_set(C)) | c_lessequals(A,B,tc_set(C)). [resolve(746,a,739,a)].
% 1.75/2.03 Derived: -c_lessequals(A,B,tc_set(C)) | c_in(A,c_SetInterval_OatMost(B,tc_set(C)),tc_set(C)). [resolve(746,a,740,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_set(C)),tc_set(C)) | c_less(B,A,tc_set(C)). [resolve(746,a,741,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_set(C)) | c_in(B,c_SetInterval_OgreaterThan(A,tc_set(C)),tc_set(C)). [resolve(746,a,742,a)].
% 1.75/2.03 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_set(C)),tc_set(C)) | c_less(A,B,tc_set(C)). [resolve(746,a,743,a)].
% 1.75/2.03 Derived: -c_less(A,B,tc_set(C)) | c_in(A,c_SetInterval_OlessThan(B,tc_set(C)),tc_set(C)). [resolve(746,a,744,a)].
% 1.75/2.03 747 -class_LOrder_Ojoin__semilorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Ojoin__semilorder_0) # label(axiom). [assumption].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(747,b,737,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(747,b,738,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(747,b,739,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(747,b,740,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(747,b,741,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(747,b,742,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(747,b,743,a)].
% 1.75/2.03 Derived: -class_LOrder_Ojoin__semilorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(747,b,744,a)].
% 1.75/2.03 748 -class_LOrder_Olorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Olorder_1) # label(axiom). [assumption].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(748,b,737,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(748,b,738,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(748,b,739,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(748,b,740,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(748,b,741,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(748,b,742,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(748,b,743,a)].
% 1.75/2.03 Derived: -class_LOrder_Olorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(748,b,744,a)].
% 1.75/2.03 749 -class_LOrder_Omeet__semilorder(A) | class_Orderings_Oord(A) # label(clsrel_LOrder_Omeet__semilorder_0) # label(axiom). [assumption].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(749,b,737,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(749,b,738,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(749,b,739,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(749,b,740,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(749,b,741,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(749,b,742,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(749,b,743,a)].
% 1.75/2.03 Derived: -class_LOrder_Omeet__semilorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(749,b,744,a)].
% 1.75/2.03 750 -class_OrderedGroup_Olordered__ab__group(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group_9) # label(axiom). [assumption].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(750,b,737,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(750,b,738,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(750,b,739,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(750,b,740,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(750,b,741,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(750,b,742,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(750,b,743,a)].
% 1.75/2.03 Derived: -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(750,b,744,a)].
% 1.75/2.03 751 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_18) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(751,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(751,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(751,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(751,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(751,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(751,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(751,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(751,b,744,a)].
% 1.75/2.04 752 -class_OrderedGroup_Olordered__ab__group__join(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_9) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(752,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(752,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(752,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(752,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(752,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(752,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(752,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(752,b,744,a)].
% 1.75/2.04 753 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_9) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(753,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(753,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(753,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(753,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(753,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(753,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(753,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(753,b,744,a)].
% 1.75/2.04 754 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(754,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(754,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(754,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(754,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(754,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(754,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(754,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(754,b,744,a)].
% 1.75/2.04 755 -class_OrderedGroup_Opordered__ab__group__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_11) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(755,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(755,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(755,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(755,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(755,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(755,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(755,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(755,b,744,a)].
% 1.75/2.04 756 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) # label(axiom). [assumption].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(756,b,737,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(756,b,738,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(756,b,739,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(756,b,740,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(756,b,741,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(756,b,742,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(756,b,743,a)].
% 1.75/2.04 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(756,b,744,a)].
% 1.75/2.04 757 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(757,b,737,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(757,b,738,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(757,b,739,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(757,b,740,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(757,b,741,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(757,b,742,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(757,b,743,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(757,b,744,a)].
% 1.75/2.05 758 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_Orderings_Oord(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(758,b,737,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(758,b,738,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(758,b,739,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(758,b,740,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(758,b,741,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(758,b,742,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(758,b,743,a)].
% 1.75/2.05 Derived: -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(758,b,744,a)].
% 1.75/2.05 759 -class_Ring__and__Field_Oaxclass__abs__if(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oaxclass__abs__if_1) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(759,b,737,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(759,b,738,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(759,b,739,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(759,b,740,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(759,b,741,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(759,b,742,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(759,b,743,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(759,b,744,a)].
% 1.75/2.05 760 -class_Ring__and__Field_Olordered__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Olordered__ring_11) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(760,b,737,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(760,b,738,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(760,b,739,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(760,b,740,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(760,b,741,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(760,b,742,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(760,b,743,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(760,b,744,a)].
% 1.75/2.05 761 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(761,b,737,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(761,b,738,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(761,b,739,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(761,b,740,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(761,b,741,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(761,b,742,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(761,b,743,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(761,b,744,a)].
% 1.75/2.05 762 -class_Ring__and__Field_Oordered__field(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__field_59) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(762,b,737,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(762,b,738,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(762,b,739,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(762,b,740,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(762,b,741,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(762,b,742,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(762,b,743,a)].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__field(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(762,b,744,a)].
% 1.75/2.05 763 -class_Ring__and__Field_Oordered__idom(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__idom_45) # label(axiom). [assumption].
% 1.75/2.05 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(763,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(763,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(763,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(763,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(763,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(763,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(763,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(763,b,744,a)].
% 1.75/2.06 764 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_27) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(764,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(764,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(764,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(764,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(764,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(764,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(764,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(764,b,744,a)].
% 1.75/2.06 765 -class_Ring__and__Field_Oordered__semidom(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__semidom_39) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(765,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(765,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(765,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(765,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(765,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(765,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(765,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(765,b,744,a)].
% 1.75/2.06 766 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_18) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(766,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(766,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(766,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(766,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(766,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(766,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(766,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(766,b,744,a)].
% 1.75/2.06 767 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(767,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(767,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(767,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(767,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(767,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(767,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(767,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(767,b,744,a)].
% 1.75/2.06 768 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_12) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(768,b,737,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(768,b,738,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(768,b,739,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(768,b,740,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(768,b,741,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(768,b,742,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(768,b,743,a)].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(768,b,744,a)].
% 1.75/2.06 769 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_24) # label(axiom). [assumption].
% 1.75/2.06 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(769,b,737,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(769,b,738,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(769,b,739,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(769,b,740,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(769,b,741,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(769,b,742,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(769,b,743,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__ring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(769,b,744,a)].
% 1.75/2.07 770 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_14) # label(axiom). [assumption].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(770,b,737,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(770,b,738,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(770,b,739,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(770,b,740,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(770,b,741,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(770,b,742,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(770,b,743,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(770,b,744,a)].
% 1.75/2.07 771 -class_Ring__and__Field_Opordered__ring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__ring_18) # label(axiom). [assumption].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(771,b,737,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(771,b,738,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(771,b,739,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(771,b,740,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(771,b,741,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(771,b,742,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(771,b,743,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(771,b,744,a)].
% 1.75/2.07 772 -class_Ring__and__Field_Opordered__semiring(A) | class_Orderings_Oord(A) # label(clsrel_Ring__and__Field_Opordered__semiring_11) # label(axiom). [assumption].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(772,b,737,a)].
% 1.75/2.07 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(772,b,738,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(772,b,739,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(772,b,740,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(772,b,741,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(772,b,742,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(772,b,743,a)].
% 1.84/2.10 Derived: -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(772,b,744,a)].
% 1.84/2.10 773 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A) # label(clsrel_Wellfounded__Recursion_Owellorder_0) # label(axiom). [assumption].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(773,b,737,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(773,b,738,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(773,b,739,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(773,b,740,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(773,b,741,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(773,b,742,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(773,b,743,a)].
% 1.84/2.10 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(773,b,744,a)].
% 1.84/2.10 774 class_Orderings_Oord(tc_IntDef_Oint). [resolve(690,a,668,a)].
% 1.84/2.10 775 class_Orderings_Oord(tc_nat). [resolve(690,a,675,a)].
% 1.84/2.10 776 class_Orderings_Oord(tc_set(A)). [resolve(690,a,676,a)].
% 1.84/2.10 777 class_Orderings_Oord(A) | -class_LOrder_Ojoin__semilorder(A). [resolve(690,a,677,b)].
% 1.84/2.10 778 class_Orderings_Oord(A) | -class_LOrder_Olorder(A). [resolve(690,a,678,b)].
% 1.84/2.10 779 class_Orderings_Oord(A) | -class_LOrder_Omeet__semilorder(A). [resolve(690,a,679,b)].
% 1.84/2.10 780 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(690,a,680,b)].
% 1.84/2.10 781 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(690,a,681,b)].
% 1.84/2.10 782 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(690,a,682,b)].
% 1.84/2.10 783 class_Orderings_Oord(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(690,a,683,b)].
% 1.84/2.10 784 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(690,a,684,b)].
% 1.84/2.10 785 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(690,a,685,b)].
% 1.84/2.10 786 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add(A). [resolve(690,a,686,b)].
% 1.84/2.10 787 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(690,a,687,b)].
% 1.84/2.10 788 class_Orderings_Oord(A) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A). [resolve(690,a,688,b)].
% 1.84/2.10 789 -class_Wellfounded__Recursion_Owellorder(A) | class_Orderings_Oord(A). [resolve(704,b,690,a)].
% 1.84/2.10 790 class_Orderings_Oord(tc_IntDef_Oint). [resolve(734,b,706,a)].
% 1.84/2.10 791 class_Orderings_Oord(tc_nat). [resolve(734,b,715,a)].
% 1.84/2.10 792 class_Orderings_Oord(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(734,b,716,b)].
% 1.84/2.10 793 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(734,b,721,b)].
% 1.84/2.10 794 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(734,b,722,b)].
% 1.98/2.24 795 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(734,b,723,b)].
% 1.98/2.24 796 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(734,b,724,b)].
% 1.98/2.24 797 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(734,b,725,b)].
% 1.98/2.24 798 class_Orderings_Oord(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(734,b,726,b)].
% 1.98/2.24 799 -class_LOrder_Omeet__semilorder(A) | -c_less(B,B,A). [resolve(679,b,669,a)].
% 1.98/2.24 800 class_LOrder_Omeet__semilorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_32) # label(axiom). [assumption].
% 1.98/2.24 801 class_LOrder_Omeet__semilorder(tc_nat) # label(clsarity_nat_4) # label(axiom). [assumption].
% 1.98/2.24 802 -class_LOrder_Olorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_LOrder_Olorder_0) # label(axiom). [assumption].
% 1.98/2.24 803 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_17) # label(axiom). [assumption].
% 1.98/2.24 804 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_16) # label(axiom). [assumption].
% 1.98/2.24 805 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_18) # label(axiom). [assumption].
% 1.98/2.24 806 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_15) # label(axiom). [assumption].
% 1.98/2.24 807 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) # label(axiom). [assumption].
% 1.98/2.24 808 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_28) # label(axiom). [assumption].
% 1.98/2.24 809 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) # label(axiom). [assumption].
% 1.98/2.24 810 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__field_53) # label(axiom). [assumption].
% 1.98/2.24 811 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_36) # label(axiom). [assumption].
% 1.98/2.24 812 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_20) # label(axiom). [assumption].
% 1.98/2.24 813 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_30) # label(axiom). [assumption].
% 1.98/2.24 814 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_13) # label(axiom). [assumption].
% 1.98/2.24 815 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Omeet__semilorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_2) # label(axiom). [assumption].
% 1.98/2.24 Derived: -c_less(A,A,B) | -class_LOrder_Olorder(B). [resolve(799,a,802,b)].
% 1.98/2.24 816 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(679,b,670,a)].
% 1.98/2.24 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B). [resolve(816,a,802,b)].
% 1.98/2.24 817 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(679,b,671,a)].
% 1.98/2.24 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C). [resolve(817,a,802,b)].
% 1.98/2.24 818 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(679,b,672,a)].
% 1.98/2.25 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B). [resolve(818,a,802,b)].
% 1.98/2.25 819 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(679,b,673,a)].
% 1.98/2.25 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C). [resolve(819,a,802,b)].
% 1.98/2.25 820 -class_LOrder_Omeet__semilorder(A) | c_lessequals(B,B,A). [resolve(679,b,674,a)].
% 1.98/2.25 Derived: c_lessequals(A,A,B) | -class_LOrder_Olorder(B). [resolve(820,a,802,b)].
% 1.98/2.25 821 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Omeet__semilorder(C). [resolve(705,a,679,b)].
% 1.98/2.25 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Olorder(C). [resolve(821,d,802,b)].
% 1.98/2.25 822 class_LOrder_Omeet__semilorder(tc_IntDef_Oint). [resolve(719,a,706,a)].
% 1.98/2.25 823 class_LOrder_Omeet__semilorder(tc_nat). [resolve(719,a,715,a)].
% 1.98/2.25 824 class_LOrder_Omeet__semilorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(719,a,716,b)].
% 1.98/2.25 825 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Omeet__semilorder(A). [resolve(727,b,719,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,B,A). [resolve(825,b,799,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(825,b,816,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(825,b,817,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(825,b,818,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(825,b,819,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A). [resolve(825,b,820,a)].
% 1.98/2.25 Derived: -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | -c_lessequals(D,B,A) | c_lessequals(D,C,A). [resolve(825,b,821,d)].
% 1.98/2.25 826 -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(749,b,737,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(826,a,800,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(826,a,801,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_LOrder_Olorder(C). [resolve(826,a,802,b)].
% 1.98/2.25 827 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(749,b,738,a)].
% 1.98/2.25 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(827,a,800,a)].
% 1.98/2.25 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(827,a,801,a)].
% 1.98/2.25 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_LOrder_Olorder(C). [resolve(827,a,802,b)].
% 1.98/2.25 828 -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(749,b,739,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(828,a,800,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(828,a,801,a)].
% 1.98/2.25 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_LOrder_Olorder(C). [resolve(828,a,802,b)].
% 1.98/2.25 829 -class_LOrder_Omeet__semilorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(749,b,740,a)].
% 1.98/2.25 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(829,a,800,a)].
% 1.98/2.29 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(829,a,801,a)].
% 1.98/2.29 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_LOrder_Olorder(C). [resolve(829,a,802,b)].
% 1.98/2.29 830 -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(749,b,741,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(830,a,800,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(830,a,801,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_LOrder_Olorder(C). [resolve(830,a,802,b)].
% 1.98/2.29 831 -class_LOrder_Omeet__semilorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(749,b,742,a)].
% 1.98/2.29 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(831,a,800,a)].
% 1.98/2.29 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(831,a,801,a)].
% 1.98/2.29 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_LOrder_Olorder(C). [resolve(831,a,802,b)].
% 1.98/2.29 832 -class_LOrder_Omeet__semilorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(749,b,743,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(832,a,800,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(832,a,801,a)].
% 1.98/2.29 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_LOrder_Olorder(C). [resolve(832,a,802,b)].
% 1.98/2.29 833 -class_LOrder_Omeet__semilorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(749,b,744,a)].
% 1.98/2.29 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(833,a,800,a)].
% 1.98/2.29 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(833,a,801,a)].
% 1.98/2.29 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_LOrder_Olorder(C). [resolve(833,a,802,b)].
% 1.98/2.29 834 -class_LOrder_Ojoin__semilorder(A) | -c_less(B,B,A). [resolve(677,b,669,a)].
% 1.98/2.29 835 class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_33) # label(axiom). [assumption].
% 1.98/2.29 836 class_LOrder_Ojoin__semilorder(tc_nat) # label(clsarity_nat_5) # label(axiom). [assumption].
% 1.98/2.29 837 -class_LOrder_Olorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_LOrder_Olorder_3) # label(axiom). [assumption].
% 1.98/2.29 838 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_16) # label(axiom). [assumption].
% 1.98/2.29 839 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_15) # label(axiom). [assumption].
% 1.98/2.29 840 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_15) # label(axiom). [assumption].
% 1.98/2.29 841 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_18) # label(axiom). [assumption].
% 1.98/2.29 842 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) # label(axiom). [assumption].
% 1.98/2.29 843 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_27) # label(axiom). [assumption].
% 1.98/2.29 844 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) # label(axiom). [assumption].
% 1.98/2.29 845 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__field_52) # label(axiom). [assumption].
% 2.06/2.35 846 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_35) # label(axiom). [assumption].
% 2.06/2.35 847 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_19) # label(axiom). [assumption].
% 2.06/2.35 848 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_29) # label(axiom). [assumption].
% 2.06/2.35 849 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_12) # label(axiom). [assumption].
% 2.06/2.35 850 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Ojoin__semilorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_3) # label(axiom). [assumption].
% 2.06/2.35 851 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(677,b,670,a)].
% 2.06/2.35 852 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(677,b,671,a)].
% 2.06/2.35 853 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(677,b,672,a)].
% 2.06/2.35 854 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(677,b,673,a)].
% 2.06/2.35 855 -class_LOrder_Ojoin__semilorder(A) | c_lessequals(B,B,A). [resolve(677,b,674,a)].
% 2.06/2.35 856 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Ojoin__semilorder(C). [resolve(705,a,677,b)].
% 2.06/2.35 857 class_LOrder_Ojoin__semilorder(tc_IntDef_Oint). [resolve(718,a,706,a)].
% 2.06/2.35 858 class_LOrder_Ojoin__semilorder(tc_nat). [resolve(718,a,715,a)].
% 2.06/2.35 859 class_LOrder_Ojoin__semilorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(718,a,716,b)].
% 2.06/2.35 860 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Ojoin__semilorder(A). [resolve(727,b,718,a)].
% 2.06/2.35 861 -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(747,b,737,a)].
% 2.06/2.35 862 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(747,b,738,a)].
% 2.06/2.35 863 -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(747,b,739,a)].
% 2.06/2.35 864 -class_LOrder_Ojoin__semilorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(747,b,740,a)].
% 2.06/2.35 865 -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(747,b,741,a)].
% 2.06/2.35 866 -class_LOrder_Ojoin__semilorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(747,b,742,a)].
% 2.06/2.35 867 -class_LOrder_Ojoin__semilorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(747,b,743,a)].
% 2.06/2.35 868 -class_LOrder_Ojoin__semilorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(747,b,744,a)].
% 2.06/2.35 869 -class_LOrder_Olorder(A) | -c_less(B,B,A). [resolve(678,b,669,a)].
% 2.06/2.35 870 class_LOrder_Olorder(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_34) # label(axiom). [assumption].
% 2.06/2.35 871 class_LOrder_Olorder(tc_nat) # label(clsarity_nat_6) # label(axiom). [assumption].
% 2.06/2.35 872 -class_OrderedGroup_Olordered__ab__group(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group_15) # label(axiom). [assumption].
% 2.06/2.35 873 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_14) # label(axiom). [assumption].
% 2.06/2.35 874 -class_OrderedGroup_Olordered__ab__group__join(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_17) # label(axiom). [assumption].
% 2.06/2.35 875 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_17) # label(axiom). [assumption].
% 2.06/2.37 876 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_LOrder_Olorder(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) # label(axiom). [assumption].
% 2.06/2.37 877 -class_Ring__and__Field_Olordered__ring(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Olordered__ring_26) # label(axiom). [assumption].
% 2.06/2.37 878 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) # label(axiom). [assumption].
% 2.06/2.37 879 -class_Ring__and__Field_Oordered__field(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__field_51) # label(axiom). [assumption].
% 2.06/2.37 880 -class_Ring__and__Field_Oordered__idom(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__idom_34) # label(axiom). [assumption].
% 2.06/2.37 881 -class_Ring__and__Field_Oordered__ring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_18) # label(axiom). [assumption].
% 2.06/2.37 882 -class_Ring__and__Field_Oordered__semidom(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__semidom_28) # label(axiom). [assumption].
% 2.06/2.37 883 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_LOrder_Olorder(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_11) # label(axiom). [assumption].
% 2.06/2.37 884 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Olorder(A) # label(clsrel_Wellfounded__Recursion_Owellorder_4) # label(axiom). [assumption].
% 2.06/2.37 885 -class_LOrder_Olorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(678,b,670,a)].
% 2.06/2.37 886 -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(678,b,671,a)].
% 2.06/2.37 887 -class_LOrder_Olorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(678,b,672,a)].
% 2.06/2.37 888 -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(678,b,673,a)].
% 2.06/2.37 889 -class_LOrder_Olorder(A) | c_lessequals(B,B,A). [resolve(678,b,674,a)].
% 2.06/2.37 890 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Olorder(C). [resolve(705,a,678,b)].
% 2.06/2.37 891 class_LOrder_Olorder(tc_IntDef_Oint). [resolve(717,a,706,a)].
% 2.06/2.37 892 class_LOrder_Olorder(tc_nat). [resolve(717,a,715,a)].
% 2.06/2.37 893 class_LOrder_Olorder(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(717,a,716,b)].
% 2.06/2.37 894 -class_Wellfounded__Recursion_Owellorder(A) | class_LOrder_Olorder(A). [resolve(727,b,717,a)].
% 2.06/2.37 895 -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(748,b,737,a)].
% 2.06/2.37 896 -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(748,b,738,a)].
% 2.06/2.37 897 -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(748,b,739,a)].
% 2.06/2.37 898 -class_LOrder_Olorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(748,b,740,a)].
% 2.06/2.37 899 -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(748,b,741,a)].
% 2.06/2.37 900 -class_LOrder_Olorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(748,b,742,a)].
% 2.06/2.37 901 -class_LOrder_Olorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(748,b,743,a)].
% 2.06/2.37 902 -class_LOrder_Olorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(748,b,744,a)].
% 2.06/2.37 903 -c_less(A,A,B) | -class_LOrder_Olorder(B). [resolve(799,a,802,b)].
% 2.06/2.37 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(903,b,870,a)].
% 2.06/2.37 Derived: -c_less(A,A,tc_nat). [resolve(903,b,871,a)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(903,b,872,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(903,b,873,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(903,b,874,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(903,b,875,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(903,b,876,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(903,b,877,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(903,b,878,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(903,b,879,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(903,b,880,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(903,b,881,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(903,b,882,b)].
% 2.06/2.37 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(903,b,883,b)].
% 2.06/2.37 904 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_LOrder_Olorder(B). [resolve(816,a,802,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(904,c,870,a)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(904,c,871,a)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(904,c,872,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(904,c,873,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(904,c,874,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(904,c,875,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(904,c,876,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(904,c,877,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(904,c,878,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(904,c,879,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(904,c,880,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(904,c,881,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(904,c,882,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(904,c,883,b)].
% 2.06/2.37 905 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_LOrder_Olorder(C). [resolve(817,a,802,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(905,c,870,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(905,c,871,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(905,c,872,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(905,c,873,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(905,c,874,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(905,c,875,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(905,c,876,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(905,c,877,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(905,c,878,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(905,c,879,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(905,c,880,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(905,c,881,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(905,c,882,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(905,c,883,b)].
% 2.06/2.37 906 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_LOrder_Olorder(B). [resolve(818,a,802,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(906,c,870,a)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(906,c,871,a)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(906,c,872,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(906,c,873,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(906,c,874,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(906,c,875,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(906,c,876,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(906,c,877,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(906,c,878,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(906,c,879,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(906,c,880,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(906,c,881,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(906,c,882,b)].
% 2.06/2.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(906,c,883,b)].
% 2.06/2.37 907 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_LOrder_Olorder(C). [resolve(819,a,802,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(907,c,870,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(907,c,871,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(907,c,872,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(907,c,873,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(907,c,874,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(907,c,875,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(907,c,876,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(907,c,877,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(907,c,878,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(907,c,879,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(907,c,880,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(907,c,881,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(907,c,882,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(907,c,883,b)].
% 2.06/2.37 908 c_lessequals(A,A,B) | -class_LOrder_Olorder(B). [resolve(820,a,802,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(908,b,870,a)].
% 2.06/2.37 Derived: c_lessequals(A,A,tc_nat). [resolve(908,b,871,a)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(908,b,872,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(908,b,873,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(908,b,874,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(908,b,875,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(908,b,876,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(908,b,877,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(908,b,878,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(908,b,879,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(908,b,880,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(908,b,881,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(908,b,882,b)].
% 2.06/2.37 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(908,b,883,b)].
% 2.06/2.37 909 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_LOrder_Olorder(C). [resolve(821,d,802,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(909,d,870,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(909,d,871,a)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(909,d,872,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(909,d,873,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(909,d,874,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(909,d,875,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(909,d,876,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(909,d,877,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(909,d,878,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(909,d,879,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(909,d,880,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(909,d,881,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(909,d,882,b)].
% 2.06/2.37 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(909,d,883,b)].
% 2.06/2.37 910 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_LOrder_Olorder(C). [resolve(826,a,802,b)].
% 2.06/2.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(910,c,870,a)].
% 2.06/2.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(910,c,871,a)].
% 2.06/2.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(910,c,872,b)].
% 2.06/2.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(910,c,873,b)].
% 2.06/2.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(910,c,874,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(910,c,875,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(910,c,876,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(910,c,877,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(910,c,878,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(910,c,879,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(910,c,880,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(910,c,881,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(910,c,882,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(910,c,883,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(910,c,884,b)].
% 2.06/2.38 911 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_LOrder_Olorder(C). [resolve(827,a,802,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(911,c,870,a)].
% 2.06/2.38 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(911,c,871,a)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(911,c,872,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(911,c,873,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(911,c,874,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(911,c,875,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(911,c,876,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(911,c,877,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(911,c,878,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(911,c,879,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(911,c,880,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(911,c,881,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(911,c,882,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(911,c,883,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(911,c,884,b)].
% 2.06/2.38 912 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_LOrder_Olorder(C). [resolve(828,a,802,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(912,c,870,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(912,c,871,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(912,c,872,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(912,c,873,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(912,c,874,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(912,c,875,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(912,c,876,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(912,c,877,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(912,c,878,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(912,c,879,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(912,c,880,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(912,c,881,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(912,c,882,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(912,c,883,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(912,c,884,b)].
% 2.06/2.38 913 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_LOrder_Olorder(C). [resolve(829,a,802,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(913,c,870,a)].
% 2.06/2.38 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(913,c,871,a)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(913,c,872,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(913,c,873,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(913,c,874,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(913,c,875,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(913,c,876,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(913,c,877,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(913,c,878,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(913,c,879,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(913,c,880,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(913,c,881,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(913,c,882,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(913,c,883,b)].
% 2.06/2.38 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(913,c,884,b)].
% 2.06/2.38 914 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_LOrder_Olorder(C). [resolve(830,a,802,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(914,c,870,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(914,c,871,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(914,c,872,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(914,c,873,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(914,c,874,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(914,c,875,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(914,c,876,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(914,c,877,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(914,c,878,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(914,c,879,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(914,c,880,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(914,c,881,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(914,c,882,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(914,c,883,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(914,c,884,b)].
% 2.06/2.38 915 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_LOrder_Olorder(C). [resolve(831,a,802,b)].
% 2.06/2.38 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(915,c,870,a)].
% 2.06/2.38 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(915,c,871,a)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(915,c,872,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(915,c,873,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(915,c,874,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(915,c,875,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(915,c,876,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(915,c,877,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(915,c,878,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(915,c,879,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(915,c,880,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(915,c,881,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(915,c,882,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(915,c,883,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(915,c,884,b)].
% 2.06/2.38 916 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_LOrder_Olorder(C). [resolve(832,a,802,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(916,c,870,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(916,c,871,a)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(916,c,872,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(916,c,873,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(916,c,874,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(916,c,875,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(916,c,876,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(916,c,877,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(916,c,878,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(916,c,879,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(916,c,880,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(916,c,881,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(916,c,882,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(916,c,883,b)].
% 2.06/2.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(916,c,884,b)].
% 2.06/2.38 917 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_LOrder_Olorder(C). [resolve(833,a,802,b)].
% 2.06/2.38 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(917,c,870,a)].
% 2.06/2.38 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(917,c,871,a)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(917,c,872,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(917,c,873,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(917,c,874,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(917,c,875,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(917,c,876,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(917,c,877,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(917,c,878,b)].
% 2.06/2.38 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(917,c,879,b)].
% 2.18/2.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(917,c,880,b)].
% 2.18/2.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(917,c,881,b)].
% 2.18/2.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(917,c,882,b)].
% 2.18/2.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(917,c,883,b)].
% 2.18/2.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(917,c,884,b)].
% 2.18/2.41 918 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_3) # label(axiom). [assumption].
% 2.18/2.41 919 class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_36) # label(axiom). [assumption].
% 2.18/2.41 920 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) # label(clsarity_nat_33) # label(axiom). [assumption].
% 2.18/2.41 921 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_7) # label(axiom). [assumption].
% 2.18/2.41 922 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_8) # label(axiom). [assumption].
% 2.18/2.41 923 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_7) # label(axiom). [assumption].
% 2.18/2.41 924 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_7) # label(axiom). [assumption].
% 2.18/2.41 925 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) # label(axiom). [assumption].
% 2.18/2.41 926 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_9) # label(axiom). [assumption].
% 2.18/2.41 927 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add_4) # label(axiom). [assumption].
% 2.18/2.41 928 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) # label(axiom). [assumption].
% 2.18/2.41 929 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) # label(axiom). [assumption].
% 2.18/2.41 930 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_9) # label(axiom). [assumption].
% 2.18/2.41 931 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) # label(axiom). [assumption].
% 2.18/2.41 932 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_57) # label(axiom). [assumption].
% 2.18/2.41 933 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_43) # label(axiom). [assumption].
% 2.18/2.41 934 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_25) # label(axiom). [assumption].
% 2.18/2.41 935 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_37) # label(axiom). [assumption].
% 2.18/2.44 936 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_16) # label(axiom). [assumption].
% 2.18/2.44 937 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) # label(axiom). [assumption].
% 2.18/2.44 938 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_7) # label(axiom). [assumption].
% 2.18/2.44 939 -class_Ring__and__Field_Opordered__comm__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_22) # label(axiom). [assumption].
% 2.18/2.44 940 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_12) # label(axiom). [assumption].
% 2.18/2.44 941 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_16) # label(axiom). [assumption].
% 2.18/2.44 942 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Opordered__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_9) # label(axiom). [assumption].
% 2.18/2.44 943 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(686,b,669,a)].
% 2.18/2.44 Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(943,a,926,b)].
% 2.18/2.44 944 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(686,b,670,a)].
% 2.18/2.44 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(944,a,926,b)].
% 2.18/2.44 945 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(686,b,671,a)].
% 2.18/2.44 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(945,a,926,b)].
% 2.18/2.44 946 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(686,b,672,a)].
% 2.18/2.44 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(946,a,926,b)].
% 2.18/2.44 947 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(686,b,673,a)].
% 2.18/2.44 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(947,a,926,b)].
% 2.18/2.44 948 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(686,b,674,a)].
% 2.18/2.44 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(948,a,926,b)].
% 2.18/2.44 949 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add(C). [resolve(705,a,686,b)].
% 2.18/2.44 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(949,d,926,b)].
% 2.18/2.44 950 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(756,b,737,a)].
% 2.18/2.44 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(950,a,926,b)].
% 2.18/2.44 951 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(756,b,738,a)].
% 2.18/2.48 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(951,a,926,b)].
% 2.18/2.48 952 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(756,b,739,a)].
% 2.18/2.48 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(952,a,926,b)].
% 2.18/2.48 953 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(756,b,740,a)].
% 2.18/2.48 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(953,a,926,b)].
% 2.18/2.48 954 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(756,b,741,a)].
% 2.18/2.48 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(954,a,926,b)].
% 2.18/2.48 955 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(756,b,742,a)].
% 2.18/2.48 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(955,a,926,b)].
% 2.18/2.48 956 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(756,b,743,a)].
% 2.18/2.48 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(956,a,926,b)].
% 2.18/2.48 957 -class_OrderedGroup_Opordered__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(756,b,744,a)].
% 2.18/2.48 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(957,a,926,b)].
% 2.18/2.48 958 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_4) # label(axiom). [assumption].
% 2.18/2.48 959 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_37) # label(axiom). [assumption].
% 2.18/2.48 960 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_34) # label(axiom). [assumption].
% 2.18/2.48 961 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_6) # label(axiom). [assumption].
% 2.18/2.48 962 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_7) # label(axiom). [assumption].
% 2.18/2.48 963 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_6) # label(axiom). [assumption].
% 2.18/2.48 964 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_6) # label(axiom). [assumption].
% 2.18/2.48 965 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) # label(axiom). [assumption].
% 2.18/2.48 966 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_13) # label(axiom). [assumption].
% 2.18/2.48 967 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) # label(axiom). [assumption].
% 2.18/2.48 968 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_5) # label(axiom). [assumption].
% 2.18/2.48 969 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_6) # label(axiom). [assumption].
% 2.18/2.49 970 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) # label(axiom). [assumption].
% 2.18/2.49 971 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_56) # label(axiom). [assumption].
% 2.18/2.49 972 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_38) # label(axiom). [assumption].
% 2.18/2.49 973 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_22) # label(axiom). [assumption].
% 2.18/2.49 974 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_32) # label(axiom). [assumption].
% 2.18/2.49 975 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_15) # label(axiom). [assumption].
% 2.18/2.49 976 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_21) # label(axiom). [assumption].
% 2.18/2.49 977 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(16,b,1,a)].
% 2.18/2.49 978 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A). [resolve(16,b,8,a)].
% 2.18/2.49 979 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(612,b,571,a)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(979,a,961,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(979,a,962,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(979,a,963,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(979,a,964,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(979,a,965,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(979,a,966,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(979,a,967,b)].
% 2.18/2.49 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(979,a,970,b)].
% 2.18/2.49 980 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A). [resolve(612,b,578,a)].
% 2.18/2.49 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(980,a,959,a)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(980,a,961,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(980,a,962,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(980,a,963,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(980,a,964,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(980,a,965,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(980,a,966,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(980,a,967,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(980,a,970,b)].
% 2.18/2.49 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(980,a,971,b)].
% 2.27/2.51 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(980,a,972,b)].
% 2.27/2.51 981 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(688,b,669,a)].
% 2.27/2.51 Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(981,a,967,b)].
% 2.27/2.51 982 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(688,b,670,a)].
% 2.27/2.51 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(982,a,967,b)].
% 2.27/2.51 983 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(688,b,671,a)].
% 2.27/2.51 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(983,a,967,b)].
% 2.27/2.51 984 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(688,b,672,a)].
% 2.27/2.51 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(984,a,967,b)].
% 2.27/2.51 985 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(688,b,673,a)].
% 2.27/2.51 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(985,a,967,b)].
% 2.27/2.51 986 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(688,b,674,a)].
% 2.27/2.51 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(986,a,967,b)].
% 2.27/2.51 987 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(C). [resolve(705,a,688,b)].
% 2.27/2.51 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(987,d,967,b)].
% 2.27/2.51 988 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(758,b,737,a)].
% 2.27/2.51 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(988,a,967,b)].
% 2.27/2.51 989 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(758,b,738,a)].
% 2.27/2.51 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(989,a,967,b)].
% 2.27/2.51 990 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(758,b,739,a)].
% 2.27/2.51 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(990,a,967,b)].
% 2.27/2.51 991 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(758,b,740,a)].
% 2.27/2.51 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(991,a,967,b)].
% 2.27/2.51 992 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(758,b,741,a)].
% 2.27/2.51 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(992,a,967,b)].
% 2.27/2.51 993 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(758,b,742,a)].
% 2.27/2.55 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(993,a,967,b)].
% 2.27/2.55 994 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(758,b,743,a)].
% 2.27/2.55 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(994,a,967,b)].
% 2.27/2.55 995 -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(758,b,744,a)].
% 2.27/2.55 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(995,a,967,b)].
% 2.27/2.55 996 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_7) # label(axiom). [assumption].
% 2.27/2.55 997 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_38) # label(axiom). [assumption].
% 2.27/2.55 998 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) # label(clsarity_nat_35) # label(axiom). [assumption].
% 2.27/2.55 999 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group_5) # label(axiom). [assumption].
% 2.27/2.55 1000 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_6) # label(axiom). [assumption].
% 2.27/2.55 1001 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_5) # label(axiom). [assumption].
% 2.27/2.55 1002 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_5) # label(axiom). [assumption].
% 2.27/2.55 1003 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) # label(axiom). [assumption].
% 2.27/2.55 1004 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_12) # label(axiom). [assumption].
% 2.27/2.55 1005 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_8) # label(axiom). [assumption].
% 2.27/2.55 1006 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Olordered__ring_5) # label(axiom). [assumption].
% 2.27/2.55 1007 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) # label(axiom). [assumption].
% 2.27/2.55 1008 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__field_55) # label(axiom). [assumption].
% 2.27/2.55 1009 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__idom_37) # label(axiom). [assumption].
% 2.27/2.55 1010 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_21) # label(axiom). [assumption].
% 2.27/2.55 1011 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__semidom_31) # label(axiom). [assumption].
% 2.27/2.55 1012 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_14) # label(axiom). [assumption].
% 2.37/2.60 1013 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) # label(clsrel_Ring__and__Field_Opordered__ring_20) # label(axiom). [assumption].
% 2.37/2.60 1014 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(77,b,53,b)].
% 2.37/2.60 1015 class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(78,b,53,b)].
% 2.37/2.60 1016 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,B,A). [resolve(687,b,669,a)].
% 2.37/2.60 1017 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(687,b,670,a)].
% 2.37/2.60 1018 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(687,b,671,a)].
% 2.37/2.60 1019 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(687,b,672,a)].
% 2.37/2.60 1020 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(687,b,673,a)].
% 2.37/2.60 1021 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | c_lessequals(B,B,A). [resolve(687,b,674,a)].
% 2.37/2.60 1022 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(705,a,687,b)].
% 2.37/2.60 1023 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(757,b,737,a)].
% 2.37/2.60 1024 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(757,b,738,a)].
% 2.37/2.60 1025 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(757,b,739,a)].
% 2.37/2.60 1026 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(757,b,740,a)].
% 2.37/2.60 1027 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(757,b,741,a)].
% 2.37/2.60 1028 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(757,b,742,a)].
% 2.37/2.60 1029 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(757,b,743,a)].
% 2.37/2.60 1030 -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(757,b,744,a)].
% 2.37/2.60 1031 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(979,a,967,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1031,b,997,a)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(1031,b,998,a)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1031,b,999,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1031,b,1000,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1031,b,1001,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1031,b,1002,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(1031,b,1003,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(1031,b,1004,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1031,b,1006,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1031,b,1008,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1031,b,1009,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1031,b,1010,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1031,b,1011,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1031,b,1012,b)].
% 2.37/2.60 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1031,b,1013,b)].
% 2.37/2.60 1032 class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A). [resolve(980,a,967,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(1032,b,997,a)].
% 2.37/2.60 Derived: class_HOL_Oplus(tc_nat). [resolve(1032,b,998,a)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1032,b,999,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1032,b,1000,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1032,b,1001,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1032,b,1002,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(1032,b,1003,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(1032,b,1004,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1032,b,1006,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1032,b,1010,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1032,b,1011,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1032,b,1012,b)].
% 2.37/2.60 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1032,b,1013,b)].
% 2.37/2.60 1033 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(981,a,967,b)].
% 2.37/2.60 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1033,b,997,a)].
% 2.37/2.60 Derived: -c_less(A,A,tc_nat). [resolve(1033,b,998,a)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1033,b,999,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1033,b,1000,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1033,b,1001,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1033,b,1002,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1033,b,1003,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1033,b,1004,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1033,b,1006,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1033,b,1007,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1033,b,1008,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1033,b,1009,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1033,b,1010,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1033,b,1011,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1033,b,1012,b)].
% 2.37/2.60 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1033,b,1013,b)].
% 2.37/2.60 1034 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(982,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1034,c,997,a)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1034,c,998,a)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1034,c,999,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1034,c,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1034,c,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1034,c,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1034,c,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1034,c,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1034,c,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1034,c,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1034,c,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1034,c,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1034,c,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1034,c,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1034,c,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1034,c,1013,b)].
% 2.37/2.60 1035 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(983,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1035,c,997,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(1035,c,998,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1035,c,999,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1035,c,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1035,c,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1035,c,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1035,c,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1035,c,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1035,c,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1035,c,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1035,c,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1035,c,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1035,c,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1035,c,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1035,c,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1035,c,1013,b)].
% 2.37/2.60 1036 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(984,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1036,c,997,a)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1036,c,998,a)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1036,c,999,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1036,c,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1036,c,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1036,c,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1036,c,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1036,c,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1036,c,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1036,c,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1036,c,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1036,c,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1036,c,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1036,c,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1036,c,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1036,c,1013,b)].
% 2.37/2.60 1037 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(985,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1037,c,997,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(1037,c,998,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1037,c,999,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1037,c,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1037,c,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1037,c,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1037,c,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1037,c,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1037,c,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1037,c,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1037,c,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1037,c,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1037,c,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1037,c,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1037,c,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1037,c,1013,b)].
% 2.37/2.60 1038 c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(B). [resolve(986,a,967,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1038,b,997,a)].
% 2.37/2.60 Derived: c_lessequals(A,A,tc_nat). [resolve(1038,b,998,a)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1038,b,999,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1038,b,1000,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1038,b,1001,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1038,b,1002,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1038,b,1003,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1038,b,1004,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1038,b,1006,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1038,b,1007,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1038,b,1008,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1038,b,1009,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1038,b,1010,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1038,b,1011,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1038,b,1012,b)].
% 2.37/2.60 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1038,b,1013,b)].
% 2.37/2.60 1039 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(987,d,967,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1039,d,997,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(1039,d,998,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1039,d,999,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1039,d,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1039,d,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1039,d,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1039,d,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1039,d,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1039,d,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1039,d,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1039,d,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1039,d,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1039,d,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1039,d,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1039,d,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1039,d,1013,b)].
% 2.37/2.60 1040 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(988,a,967,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1040,c,997,a)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1040,c,998,a)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1040,c,999,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1040,c,1000,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1040,c,1001,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1040,c,1002,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1040,c,1003,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1040,c,1004,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1040,c,1006,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1040,c,1007,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1040,c,1008,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1040,c,1009,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1040,c,1010,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1040,c,1011,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1040,c,1012,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1040,c,1013,b)].
% 2.37/2.60 1041 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(989,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1041,c,997,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(1041,c,998,a)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1041,c,999,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1041,c,1000,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1041,c,1001,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1041,c,1002,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1041,c,1003,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1041,c,1004,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1041,c,1006,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1041,c,1007,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1041,c,1008,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1041,c,1009,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1041,c,1010,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1041,c,1011,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1041,c,1012,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1041,c,1013,b)].
% 2.37/2.60 1042 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(990,a,967,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1042,c,997,a)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(1042,c,998,a)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1042,c,999,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1042,c,1000,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1042,c,1001,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1042,c,1002,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1042,c,1003,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1042,c,1004,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1042,c,1006,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1042,c,1007,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1042,c,1008,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1042,c,1009,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1042,c,1010,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1042,c,1011,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1042,c,1012,b)].
% 2.37/2.60 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1042,c,1013,b)].
% 2.37/2.60 1043 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(991,a,967,b)].
% 2.37/2.60 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1043,c,997,a)].
% 2.37/2.61 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(1043,c,998,a)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1043,c,999,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1043,c,1000,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1043,c,1001,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1043,c,1002,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1043,c,1003,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1043,c,1004,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1043,c,1006,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1043,c,1007,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1043,c,1008,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1043,c,1009,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1043,c,1010,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1043,c,1011,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1043,c,1012,b)].
% 2.37/2.61 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1043,c,1013,b)].
% 2.37/2.61 1044 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(992,a,967,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1044,c,997,a)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(1044,c,998,a)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1044,c,999,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1044,c,1000,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1044,c,1001,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1044,c,1002,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1044,c,1003,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1044,c,1004,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1044,c,1006,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1044,c,1007,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1044,c,1008,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1044,c,1009,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1044,c,1010,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1044,c,1011,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1044,c,1012,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1044,c,1013,b)].
% 2.37/2.61 1045 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(993,a,967,b)].
% 2.37/2.61 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1045,c,997,a)].
% 2.37/2.61 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(1045,c,998,a)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1045,c,999,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1045,c,1000,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1045,c,1001,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1045,c,1002,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1045,c,1003,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1045,c,1004,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1045,c,1006,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1045,c,1007,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1045,c,1008,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1045,c,1009,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1045,c,1010,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1045,c,1011,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1045,c,1012,b)].
% 2.37/2.61 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1045,c,1013,b)].
% 2.37/2.61 1046 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(994,a,967,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1046,c,997,a)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(1046,c,998,a)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1046,c,999,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1046,c,1000,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1046,c,1001,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1046,c,1002,b)].
% 2.37/2.61 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1046,c,1003,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1046,c,1004,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1046,c,1006,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1046,c,1007,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1046,c,1008,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1046,c,1009,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1046,c,1010,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1046,c,1011,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1046,c,1012,b)].
% 2.37/2.64 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1046,c,1013,b)].
% 2.37/2.64 1047 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(C). [resolve(995,a,967,b)].
% 2.37/2.64 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1047,c,997,a)].
% 2.37/2.64 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(1047,c,998,a)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1047,c,999,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1047,c,1000,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1047,c,1001,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1047,c,1002,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1047,c,1003,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1047,c,1004,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1047,c,1006,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1047,c,1007,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1047,c,1008,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1047,c,1009,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1047,c,1010,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1047,c,1011,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1047,c,1012,b)].
% 2.37/2.64 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1047,c,1013,b)].
% 2.37/2.64 1048 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_7) # label(axiom). [assumption].
% 2.37/2.64 1049 class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_39) # label(axiom). [assumption].
% 2.37/2.64 1050 class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) # label(clsarity_nat_36) # label(axiom). [assumption].
% 2.37/2.66 1051 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_8) # label(axiom). [assumption].
% 2.37/2.66 1052 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) # label(axiom). [assumption].
% 2.37/2.66 1053 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__field_40) # label(axiom). [assumption].
% 2.37/2.66 1054 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_32) # label(axiom). [assumption].
% 2.37/2.66 1055 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_16) # label(axiom). [assumption].
% 2.37/2.66 1056 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_26) # label(axiom). [assumption].
% 2.37/2.66 1057 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_9) # label(axiom). [assumption].
% 2.37/2.66 1058 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(77,b,51,b)].
% 2.37/2.66 1059 class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(78,b,51,b)].
% 2.37/2.66 1060 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,B,A). [resolve(684,b,669,a)].
% 2.37/2.66 1061 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(684,b,670,a)].
% 2.37/2.66 1062 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(684,b,671,a)].
% 2.37/2.66 1063 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(684,b,672,a)].
% 2.37/2.66 1064 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(684,b,673,a)].
% 2.37/2.66 1065 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_lessequals(B,B,A). [resolve(684,b,674,a)].
% 2.37/2.66 1066 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(705,a,684,b)].
% 2.37/2.66 1067 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(716,b,707,a)].
% 2.37/2.66 Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B. [resolve(1067,a,1049,a)].
% 2.37/2.66 Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B. [resolve(1067,a,1050,a)].
% 2.37/2.66 1068 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(716,b,708,a)].
% 2.37/2.66 Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B. [resolve(1068,a,1049,a)].
% 2.37/2.66 Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B. [resolve(1068,a,1050,a)].
% 2.37/2.66 1069 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(716,b,709,a)].
% 2.37/2.66 Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B. [resolve(1069,a,1049,a)].
% 2.37/2.66 Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B. [resolve(1069,a,1050,a)].
% 2.37/2.67 1070 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(716,b,710,a)].
% 2.37/2.67 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1070,a,1049,a)].
% 2.37/2.67 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1070,a,1050,a)].
% 2.37/2.67 1071 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(716,b,711,a)].
% 2.37/2.67 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1071,a,1049,a)].
% 2.37/2.67 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)). [resolve(1071,a,1050,a)].
% 2.37/2.67 1072 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(716,b,712,a)].
% 2.37/2.67 Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B. [resolve(1072,a,1049,a)].
% 2.37/2.67 Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B. [resolve(1072,a,1050,a)].
% 2.37/2.67 1073 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(716,b,713,a)].
% 2.37/2.67 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1073,a,1049,a)].
% 2.37/2.67 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1073,a,1050,a)].
% 2.37/2.67 1074 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(716,b,714,a)].
% 2.37/2.67 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1074,a,1049,a)].
% 2.37/2.67 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)). [resolve(1074,a,1050,a)].
% 2.37/2.67 1075 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(728,a,716,b)].
% 2.37/2.67 1076 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(729,a,716,b)].
% 2.37/2.67 1077 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(730,a,716,b)].
% 2.37/2.67 1078 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(731,a,716,b)].
% 2.37/2.67 1079 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(732,a,716,b)].
% 2.37/2.67 1080 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(733,a,716,b)].
% 2.37/2.67 1081 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(735,d,716,b)].
% 2.37/2.67 1082 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(754,b,737,a)].
% 2.37/2.67 1083 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(754,b,738,a)].
% 2.47/2.69 1084 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(754,b,739,a)].
% 2.47/2.69 1085 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(754,b,740,a)].
% 2.47/2.69 1086 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(754,b,741,a)].
% 2.47/2.69 1087 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(754,b,742,a)].
% 2.47/2.69 1088 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(754,b,743,a)].
% 2.47/2.69 1089 -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(754,b,744,a)].
% 2.47/2.69 1090 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(903,b,876,b)].
% 2.47/2.69 1091 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(904,c,876,b)].
% 2.47/2.69 1092 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(905,c,876,b)].
% 2.47/2.69 1093 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(906,c,876,b)].
% 2.47/2.69 1094 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(907,c,876,b)].
% 2.47/2.69 1095 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(908,b,876,b)].
% 2.47/2.69 1096 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(909,d,876,b)].
% 2.47/2.69 1097 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(910,c,876,b)].
% 2.47/2.69 1098 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(911,c,876,b)].
% 2.47/2.69 1099 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(912,c,876,b)].
% 2.47/2.69 1100 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(913,c,876,b)].
% 2.47/2.69 1101 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(914,c,876,b)].
% 2.47/2.69 1102 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(915,c,876,b)].
% 2.47/2.69 1103 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(916,c,876,b)].
% 2.47/2.69 1104 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(917,c,876,b)].
% 2.47/2.69 1105 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(979,a,965,b)].
% 2.47/2.69 1106 class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(980,a,965,b)].
% 2.47/2.69 1107 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(1031,b,1003,b)].
% 2.47/2.69 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1107,b,1049,a)].
% 2.47/2.69 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(1107,b,1050,a)].
% 2.47/2.69 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1107,b,1052,b)].
% 2.47/2.69 1108 class_HOL_Oplus(A) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(A). [resolve(1032,b,1003,b)].
% 2.48/2.70 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(1108,b,1049,a)].
% 2.48/2.70 Derived: class_HOL_Oplus(tc_nat). [resolve(1108,b,1050,a)].
% 2.48/2.70 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1108,b,1052,b)].
% 2.48/2.70 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1108,b,1053,b)].
% 2.48/2.70 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1108,b,1054,b)].
% 2.48/2.70 1109 -c_less(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1033,b,1003,b)].
% 2.48/2.70 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1109,b,1049,a)].
% 2.48/2.70 Derived: -c_less(A,A,tc_nat). [resolve(1109,b,1050,a)].
% 2.48/2.70 1110 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1034,c,1003,b)].
% 2.48/2.70 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1110,c,1049,a)].
% 2.48/2.70 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1110,c,1050,a)].
% 2.48/2.70 1111 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1035,c,1003,b)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1111,c,1049,a)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(1111,c,1050,a)].
% 2.48/2.70 1112 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1036,c,1003,b)].
% 2.48/2.70 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1112,c,1049,a)].
% 2.48/2.70 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1112,c,1050,a)].
% 2.48/2.70 1113 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1037,c,1003,b)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1113,c,1049,a)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(1113,c,1050,a)].
% 2.48/2.70 1114 c_lessequals(A,A,B) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(B). [resolve(1038,b,1003,b)].
% 2.48/2.70 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1114,b,1049,a)].
% 2.48/2.70 Derived: c_lessequals(A,A,tc_nat). [resolve(1114,b,1050,a)].
% 2.48/2.70 1115 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1039,d,1003,b)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1115,d,1049,a)].
% 2.48/2.70 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(1115,d,1050,a)].
% 2.48/2.70 1116 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1040,c,1003,b)].
% 2.48/2.70 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1116,c,1049,a)].
% 2.48/2.70 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1116,c,1050,a)].
% 2.48/2.70 1117 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1041,c,1003,b)].
% 2.49/2.73 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1117,c,1049,a)].
% 2.49/2.73 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(1117,c,1050,a)].
% 2.49/2.73 1118 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1042,c,1003,b)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1118,c,1049,a)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(1118,c,1050,a)].
% 2.49/2.73 1119 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1043,c,1003,b)].
% 2.49/2.73 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1119,c,1049,a)].
% 2.49/2.73 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(1119,c,1050,a)].
% 2.49/2.73 1120 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1044,c,1003,b)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1120,c,1049,a)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(1120,c,1050,a)].
% 2.49/2.73 1121 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1045,c,1003,b)].
% 2.49/2.73 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1121,c,1049,a)].
% 2.49/2.73 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(1121,c,1050,a)].
% 2.49/2.73 1122 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1046,c,1003,b)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1122,c,1049,a)].
% 2.49/2.73 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(1122,c,1050,a)].
% 2.49/2.73 1123 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Oordered__cancel__ab__semigroup__add(C). [resolve(1047,c,1003,b)].
% 2.49/2.73 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1123,c,1049,a)].
% 2.49/2.73 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(1123,c,1050,a)].
% 2.49/2.73 1124 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__semiring_2) # label(axiom). [assumption].
% 2.49/2.73 1125 class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_40) # label(axiom). [assumption].
% 2.49/2.73 1126 class_Ring__and__Field_Opordered__semiring(tc_nat) # label(clsarity_nat_37) # label(axiom). [assumption].
% 2.49/2.73 1127 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_8) # label(axiom). [assumption].
% 2.49/2.73 1128 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) # label(axiom). [assumption].
% 2.49/2.73 1129 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_46) # label(axiom). [assumption].
% 2.49/2.73 1130 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_42) # label(axiom). [assumption].
% 2.49/2.73 1131 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_24) # label(axiom). [assumption].
% 2.49/2.73 1132 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_36) # label(axiom). [assumption].
% 2.49/2.74 1133 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_23) # label(axiom). [assumption].
% 2.49/2.74 1134 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) # label(axiom). [assumption].
% 2.49/2.74 1135 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_0) # label(axiom). [assumption].
% 2.49/2.74 1136 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_21) # label(axiom). [assumption].
% 2.49/2.74 1137 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_15) # label(axiom). [assumption].
% 2.49/2.74 1138 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Opordered__semiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_15) # label(axiom). [assumption].
% 2.49/2.74 1139 -class_Ring__and__Field_Opordered__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Opordered__semiring_3) # label(axiom). [assumption].
% 2.49/2.74 1140 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_4) # label(axiom). [assumption].
% 2.49/2.74 1141 -class_Ring__and__Field_Opordered__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__semiring_6) # label(axiom). [assumption].
% 2.49/2.74 1142 -class_Ring__and__Field_Opordered__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Opordered__semiring_7) # label(axiom). [assumption].
% 2.49/2.74 1143 -class_Ring__and__Field_Opordered__semiring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Opordered__semiring_8) # label(axiom). [assumption].
% 2.49/2.74 1144 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | -c_lessequals(c_0,D,A) | c_lessequals(c_times(B,D,A),c_times(C,D,A),A) # label(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) # label(axiom). [assumption].
% 2.49/2.74 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(c_0,C,tc_IntDef_Oint) | c_lessequals(c_times(A,C,tc_IntDef_Oint),c_times(B,C,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1144,a,1125,a)].
% 2.49/2.74 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(c_0,C,tc_nat) | c_lessequals(c_times(A,C,tc_nat),c_times(B,C,tc_nat),tc_nat). [resolve(1144,a,1126,a)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1144,a,1127,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1144,a,1128,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1144,a,1129,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1144,a,1130,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1144,a,1131,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1144,a,1132,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1144,a,1133,b)].
% 2.49/2.74 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1144,a,1134,b)].
% 2.49/2.75 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1144,a,1135,b)].
% 2.49/2.75 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1144,a,1136,b)].
% 2.49/2.75 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1144,a,1137,b)].
% 2.49/2.75 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1144,a,1138,b)].
% 2.49/2.75 1145 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(155,a,152,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1145,b,1137,b)].
% 2.49/2.75 1146 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(156,a,152,b)].
% 2.49/2.75 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1146,b,1137,b)].
% 2.49/2.75 1147 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(157,a,152,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1147,b,1128,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1147,b,1133,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1147,b,1134,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1147,b,1135,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1147,b,1137,b)].
% 2.49/2.75 1148 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(158,a,152,b)].
% 2.49/2.75 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1148,b,1128,b)].
% 2.49/2.75 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1148,b,1133,b)].
% 2.49/2.75 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1148,b,1134,b)].
% 2.49/2.75 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1148,b,1135,b)].
% 2.49/2.75 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1148,b,1137,b)].
% 2.49/2.75 1149 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(226,a,219,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1149,b,1128,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1149,b,1132,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1149,b,1133,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1149,b,1134,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1149,b,1135,b)].
% 2.49/2.75 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1149,b,1137,b)].
% 2.49/2.75 1150 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__semiring(A). [resolve(227,a,219,b)].
% 2.49/2.75 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1150,b,1128,b)].
% 2.49/2.75 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1150,b,1133,b)].
% 2.49/2.75 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1150,b,1134,b)].
% 2.49/2.76 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1150,b,1135,b)].
% 2.49/2.76 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1150,b,1137,b)].
% 2.49/2.76 1151 -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,B,A). [resolve(703,b,669,a)].
% 2.49/2.76 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1151,a,1134,b)].
% 2.49/2.76 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1151,a,1135,b)].
% 2.49/2.76 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1151,a,1136,b)].
% 2.49/2.76 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1151,a,1137,b)].
% 2.49/2.76 1152 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(703,b,670,a)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1152,a,1134,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1152,a,1135,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1152,a,1136,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1152,a,1137,b)].
% 2.49/2.76 1153 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(703,b,671,a)].
% 2.49/2.76 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1153,a,1134,b)].
% 2.49/2.76 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1153,a,1135,b)].
% 2.49/2.76 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1153,a,1136,b)].
% 2.49/2.76 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1153,a,1137,b)].
% 2.49/2.76 1154 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(703,b,672,a)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1154,a,1134,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1154,a,1135,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1154,a,1136,b)].
% 2.49/2.76 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1154,a,1137,b)].
% 2.49/2.76 1155 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(703,b,673,a)].
% 2.49/2.76 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1155,a,1134,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1155,a,1135,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1155,a,1136,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1155,a,1137,b)].
% 2.49/2.77 1156 -class_Ring__and__Field_Opordered__semiring(A) | c_lessequals(B,B,A). [resolve(703,b,674,a)].
% 2.49/2.77 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1156,a,1134,b)].
% 2.49/2.77 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1156,a,1135,b)].
% 2.49/2.77 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1156,a,1136,b)].
% 2.49/2.77 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1156,a,1137,b)].
% 2.49/2.77 1157 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__semiring(C). [resolve(705,a,703,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1157,d,1134,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1157,d,1135,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1157,d,1136,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1157,d,1137,b)].
% 2.49/2.77 1158 -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(772,b,737,a)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1158,a,1134,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1158,a,1135,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1158,a,1136,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1158,a,1137,b)].
% 2.49/2.77 1159 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(772,b,738,a)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1159,a,1134,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1159,a,1135,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1159,a,1136,b)].
% 2.49/2.77 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1159,a,1137,b)].
% 2.49/2.77 1160 -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(772,b,739,a)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1160,a,1134,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1160,a,1135,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1160,a,1136,b)].
% 2.49/2.77 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1160,a,1137,b)].
% 2.60/2.83 1161 -class_Ring__and__Field_Opordered__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(772,b,740,a)].
% 2.60/2.83 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1161,a,1134,b)].
% 2.60/2.83 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1161,a,1135,b)].
% 2.60/2.83 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1161,a,1136,b)].
% 2.60/2.83 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1161,a,1137,b)].
% 2.60/2.83 1162 -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(772,b,741,a)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1162,a,1134,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1162,a,1135,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1162,a,1136,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1162,a,1137,b)].
% 2.60/2.83 1163 -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(772,b,742,a)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1163,a,1134,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1163,a,1135,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1163,a,1136,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1163,a,1137,b)].
% 2.60/2.83 1164 -class_Ring__and__Field_Opordered__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(772,b,743,a)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1164,a,1134,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1164,a,1135,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1164,a,1136,b)].
% 2.60/2.83 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1164,a,1137,b)].
% 2.60/2.83 1165 -class_Ring__and__Field_Opordered__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(772,b,744,a)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1165,a,1134,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1165,a,1135,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1165,a,1136,b)].
% 2.60/2.83 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1165,a,1137,b)].
% 2.60/2.83 1166 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_10) # label(axiom). [assumption].
% 2.60/2.83 1167 class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_41) # label(axiom). [assumption].
% 2.60/2.85 1168 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) # label(clsarity_nat_38) # label(axiom). [assumption].
% 2.60/2.85 1169 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Olordered__ring_7) # label(axiom). [assumption].
% 2.60/2.85 1170 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) # label(axiom). [assumption].
% 2.60/2.85 1171 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_45) # label(axiom). [assumption].
% 2.60/2.85 1172 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_40) # label(axiom). [assumption].
% 2.60/2.85 1173 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_23) # label(axiom). [assumption].
% 2.60/2.85 1174 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_34) # label(axiom). [assumption].
% 2.60/2.85 1175 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_22) # label(axiom). [assumption].
% 2.60/2.85 1176 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) # label(axiom). [assumption].
% 2.60/2.85 1177 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_3) # label(axiom). [assumption].
% 2.60/2.85 1178 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_4) # label(axiom). [assumption].
% 2.60/2.85 1179 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_5) # label(axiom). [assumption].
% 2.60/2.85 1180 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_6) # label(axiom). [assumption].
% 2.60/2.85 1181 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__semiring_9) # label(axiom). [assumption].
% 2.60/2.85 1182 -class_Ring__and__Field_Opordered__ring(A) | class_Ring__and__Field_Opordered__cancel__semiring(A) # label(clsrel_Ring__and__Field_Opordered__ring_22) # label(axiom). [assumption].
% 2.60/2.85 1183 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_HOL_Oplus(A). [resolve(32,b,8,a)].
% 2.60/2.85 1184 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(77,b,70,b)].
% 2.60/2.85 1185 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(157,a,148,b)].
% 2.60/2.85 1186 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(158,a,148,b)].
% 2.60/2.85 1187 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(226,a,215,b)].
% 2.60/2.85 1188 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(227,a,215,b)].
% 2.60/2.85 1189 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(298,a,284,b)].
% 2.60/2.85 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1189,b,1176,b)].
% 2.60/2.85 1190 -class_Ring__and__Field_Opordered__cancel__semiring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(627,a,571,a)].
% 2.60/2.85 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1190,a,1176,b)].
% 2.60/2.89 1191 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,B,A). [resolve(699,b,669,a)].
% 2.60/2.89 1192 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(699,b,670,a)].
% 2.60/2.89 1193 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(699,b,671,a)].
% 2.60/2.89 1194 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(699,b,672,a)].
% 2.60/2.89 1195 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(699,b,673,a)].
% 2.60/2.89 1196 -class_Ring__and__Field_Opordered__cancel__semiring(A) | c_lessequals(B,B,A). [resolve(699,b,674,a)].
% 2.60/2.89 1197 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(705,a,699,b)].
% 2.60/2.89 1198 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(768,b,737,a)].
% 2.60/2.89 1199 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(768,b,738,a)].
% 2.60/2.89 1200 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(768,b,739,a)].
% 2.60/2.89 1201 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(768,b,740,a)].
% 2.60/2.89 1202 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(768,b,741,a)].
% 2.60/2.89 1203 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(768,b,742,a)].
% 2.60/2.89 1204 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(768,b,743,a)].
% 2.60/2.89 1205 -class_Ring__and__Field_Opordered__cancel__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(768,b,744,a)].
% 2.60/2.89 1206 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1144,a,1135,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(c_0,C,tc_IntDef_Oint) | c_lessequals(c_times(A,C,tc_IntDef_Oint),c_times(B,C,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1206,d,1167,a)].
% 2.60/2.89 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(c_0,C,tc_nat) | c_lessequals(c_times(A,C,tc_nat),c_times(B,C,tc_nat),tc_nat). [resolve(1206,d,1168,a)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1206,d,1169,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1206,d,1170,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1206,d,1171,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1206,d,1172,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1206,d,1173,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1206,d,1174,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1206,d,1175,b)].
% 2.60/2.89 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1206,d,1176,b)].
% 2.60/2.89 1207 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1147,b,1135,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(1207,b,1167,a)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(1207,b,1168,a)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1207,b,1169,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1207,b,1170,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1207,b,1171,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1207,b,1172,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1207,b,1173,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1207,b,1174,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1207,b,1175,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1207,b,1176,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1207,b,1182,b)].
% 2.60/2.89 1208 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1148,b,1135,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(1208,b,1167,a)].
% 2.60/2.89 Derived: class_HOL_Otimes(tc_nat). [resolve(1208,b,1168,a)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1208,b,1169,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1208,b,1170,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1208,b,1171,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1208,b,1172,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1208,b,1173,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1208,b,1174,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1208,b,1175,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1208,b,1176,b)].
% 2.60/2.89 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1208,b,1182,b)].
% 2.60/2.89 1209 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1149,b,1135,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(1209,b,1167,a)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_nat). [resolve(1209,b,1168,a)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1209,b,1169,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1209,b,1170,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1209,b,1171,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1209,b,1172,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1209,b,1173,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1209,b,1174,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1209,b,1175,b)].
% 2.60/2.89 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1209,b,1176,b)].
% 2.60/2.90 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1209,b,1182,b)].
% 2.60/2.90 1210 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__semiring(A). [resolve(1150,b,1135,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(1210,b,1167,a)].
% 2.60/2.90 Derived: class_HOL_Ozero(tc_nat). [resolve(1210,b,1168,a)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1210,b,1169,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1210,b,1170,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1210,b,1171,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1210,b,1172,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1210,b,1173,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1210,b,1174,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1210,b,1175,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1210,b,1176,b)].
% 2.60/2.90 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1210,b,1182,b)].
% 2.60/2.90 1211 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1151,a,1135,b)].
% 2.60/2.90 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1211,b,1167,a)].
% 2.60/2.90 Derived: -c_less(A,A,tc_nat). [resolve(1211,b,1168,a)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1211,b,1169,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1211,b,1170,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1211,b,1171,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1211,b,1172,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1211,b,1173,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1211,b,1174,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1211,b,1175,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1211,b,1176,b)].
% 2.60/2.90 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1211,b,1182,b)].
% 2.60/2.90 1212 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1152,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1212,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1212,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1212,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1212,c,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1212,c,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1212,c,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1212,c,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1212,c,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1212,c,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1212,c,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1212,c,1182,b)].
% 2.60/2.90 1213 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1153,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1213,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(1213,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1213,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1213,c,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1213,c,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1213,c,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1213,c,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1213,c,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1213,c,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1213,c,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1213,c,1182,b)].
% 2.60/2.90 1214 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1154,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1214,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1214,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1214,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1214,c,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1214,c,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1214,c,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1214,c,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1214,c,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1214,c,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1214,c,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1214,c,1182,b)].
% 2.60/2.90 1215 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1155,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1215,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(1215,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1215,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1215,c,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1215,c,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1215,c,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1215,c,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1215,c,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1215,c,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1215,c,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1215,c,1182,b)].
% 2.60/2.90 1216 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__semiring(B). [resolve(1156,a,1135,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1216,b,1167,a)].
% 2.60/2.90 Derived: c_lessequals(A,A,tc_nat). [resolve(1216,b,1168,a)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1216,b,1169,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1216,b,1170,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1216,b,1171,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1216,b,1172,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1216,b,1173,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1216,b,1174,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1216,b,1175,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1216,b,1176,b)].
% 2.60/2.90 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1216,b,1182,b)].
% 2.60/2.90 1217 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1157,d,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1217,d,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(1217,d,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1217,d,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1217,d,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1217,d,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1217,d,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1217,d,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1217,d,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1217,d,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1217,d,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1217,d,1182,b)].
% 2.60/2.90 1218 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1158,a,1135,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1218,c,1167,a)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1218,c,1168,a)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1218,c,1169,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1218,c,1170,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1218,c,1171,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1218,c,1172,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1218,c,1173,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1218,c,1174,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1218,c,1175,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1218,c,1176,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1218,c,1182,b)].
% 2.60/2.90 1219 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1159,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1219,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(1219,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1219,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1219,c,1170,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1219,c,1171,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1219,c,1172,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1219,c,1173,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1219,c,1174,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1219,c,1175,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1219,c,1176,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1219,c,1182,b)].
% 2.60/2.90 1220 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1160,a,1135,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1220,c,1167,a)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(1220,c,1168,a)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1220,c,1169,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1220,c,1170,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1220,c,1171,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1220,c,1172,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1220,c,1173,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1220,c,1174,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1220,c,1175,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1220,c,1176,b)].
% 2.60/2.90 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1220,c,1182,b)].
% 2.60/2.90 1221 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1161,a,1135,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1221,c,1167,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(1221,c,1168,a)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1221,c,1169,b)].
% 2.60/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1221,c,1170,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1221,c,1171,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1221,c,1172,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1221,c,1173,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1221,c,1174,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1221,c,1175,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1221,c,1176,b)].
% 2.70/2.90 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1221,c,1182,b)].
% 2.70/2.90 1222 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1162,a,1135,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1222,c,1167,a)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(1222,c,1168,a)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1222,c,1169,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1222,c,1170,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1222,c,1171,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1222,c,1172,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1222,c,1173,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1222,c,1174,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1222,c,1175,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1222,c,1176,b)].
% 2.70/2.90 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1222,c,1182,b)].
% 2.70/2.90 1223 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1163,a,1135,b)].
% 2.70/2.90 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1223,c,1167,a)].
% 2.70/2.90 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(1223,c,1168,a)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1223,c,1169,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1223,c,1170,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1223,c,1171,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1223,c,1172,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1223,c,1173,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1223,c,1174,b)].
% 2.70/2.90 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1223,c,1175,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1223,c,1176,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1223,c,1182,b)].
% 2.70/2.94 1224 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1164,a,1135,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1224,c,1167,a)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(1224,c,1168,a)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1224,c,1169,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1224,c,1170,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1224,c,1171,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1224,c,1172,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1224,c,1173,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1224,c,1174,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1224,c,1175,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1224,c,1176,b)].
% 2.70/2.94 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1224,c,1182,b)].
% 2.70/2.94 1225 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__semiring(C). [resolve(1165,a,1135,b)].
% 2.70/2.94 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1225,c,1167,a)].
% 2.70/2.94 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(1225,c,1168,a)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1225,c,1169,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1225,c,1170,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1225,c,1171,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1225,c,1172,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1225,c,1173,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1225,c,1174,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1225,c,1175,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1225,c,1176,b)].
% 2.70/2.94 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1225,c,1182,b)].
% 2.70/2.94 1226 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_2) # label(axiom). [assumption].
% 2.70/2.94 1227 class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_42) # label(axiom). [assumption].
% 2.70/2.96 1228 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) # label(clsarity_nat_39) # label(axiom). [assumption].
% 2.70/2.96 1229 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) # label(axiom). [assumption].
% 2.70/2.96 1230 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_39) # label(axiom). [assumption].
% 2.70/2.96 1231 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_31) # label(axiom). [assumption].
% 2.70/2.96 1232 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_15) # label(axiom). [assumption].
% 2.70/2.96 1233 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oordered__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__semidom_25) # label(axiom). [assumption].
% 2.70/2.96 1234 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_3) # label(axiom). [assumption].
% 2.70/2.96 1235 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_4) # label(axiom). [assumption].
% 2.70/2.96 1236 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_6) # label(axiom). [assumption].
% 2.70/2.96 1237 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_7) # label(axiom). [assumption].
% 2.70/2.96 1238 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oordered__semiring__strict_8) # label(axiom). [assumption].
% 2.70/2.96 1239 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(77,b,68,b)].
% 2.70/2.96 1240 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(78,b,68,b)].
% 2.70/2.96 1241 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(157,a,146,b)].
% 2.70/2.96 1242 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(158,a,146,b)].
% 2.70/2.96 1243 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(226,a,213,b)].
% 2.70/2.96 1244 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(227,a,213,b)].
% 2.70/2.96 1245 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(626,a,571,a)].
% 2.70/2.96 1246 -class_Ring__and__Field_Oordered__semiring__strict(A) | class_HOL_Oplus(A). [resolve(626,a,578,a)].
% 2.70/2.96 1247 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,B,A). [resolve(697,b,669,a)].
% 2.70/2.96 1248 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(697,b,670,a)].
% 2.70/2.96 1249 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(697,b,671,a)].
% 2.70/2.96 1250 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(697,b,672,a)].
% 2.70/2.96 1251 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(697,b,673,a)].
% 2.70/2.96 1252 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_lessequals(B,B,A). [resolve(697,b,674,a)].
% 2.70/2.96 1253 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(705,a,697,b)].
% 2.70/2.96 1254 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(726,b,707,a)].
% 2.70/2.97 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1254,a,1229,b)].
% 2.70/2.97 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(1254,a,1230,b)].
% 2.70/2.97 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1254,a,1231,b)].
% 2.70/2.97 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1254,a,1232,b)].
% 2.70/2.97 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1254,a,1233,b)].
% 2.70/2.97 1255 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(726,b,708,a)].
% 2.70/2.97 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1255,a,1229,b)].
% 2.70/2.97 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(1255,a,1230,b)].
% 2.70/2.97 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1255,a,1231,b)].
% 2.70/2.97 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1255,a,1232,b)].
% 2.70/2.97 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1255,a,1233,b)].
% 2.70/2.97 1256 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(726,b,709,a)].
% 2.70/2.97 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1256,a,1229,b)].
% 2.70/2.97 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(1256,a,1230,b)].
% 2.70/2.97 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1256,a,1231,b)].
% 2.70/2.97 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1256,a,1232,b)].
% 2.70/2.97 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1256,a,1233,b)].
% 2.70/2.97 1257 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(726,b,710,a)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1257,a,1229,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1257,a,1230,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1257,a,1231,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1257,a,1232,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1257,a,1233,b)].
% 2.70/2.97 1258 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(726,b,711,a)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1258,a,1229,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1258,a,1230,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1258,a,1231,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1258,a,1232,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1258,a,1233,b)].
% 2.70/2.97 1259 -class_Ring__and__Field_Oordered__semiring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(726,b,712,a)].
% 2.70/2.97 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1259,a,1229,b)].
% 2.70/2.97 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(1259,a,1230,b)].
% 2.70/2.97 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1259,a,1231,b)].
% 2.70/2.97 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1259,a,1232,b)].
% 2.70/2.97 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1259,a,1233,b)].
% 2.70/2.97 1260 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(726,b,713,a)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1260,a,1229,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1260,a,1230,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1260,a,1231,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1260,a,1232,b)].
% 2.70/2.97 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1260,a,1233,b)].
% 2.70/2.97 1261 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(726,b,714,a)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1261,a,1229,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1261,a,1230,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1261,a,1231,b)].
% 2.70/2.97 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1261,a,1232,b)].
% 2.70/3.00 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1261,a,1233,b)].
% 2.70/3.00 1262 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(766,b,737,a)].
% 2.70/3.00 1263 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(766,b,738,a)].
% 2.70/3.00 1264 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(766,b,739,a)].
% 2.70/3.00 1265 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(766,b,740,a)].
% 2.70/3.00 1266 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(766,b,741,a)].
% 2.70/3.00 1267 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(766,b,742,a)].
% 2.70/3.00 1268 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(766,b,743,a)].
% 2.70/3.00 1269 -class_Ring__and__Field_Oordered__semiring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(766,b,744,a)].
% 2.70/3.00 1270 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(903,b,883,b)].
% 2.70/3.00 1271 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(904,c,883,b)].
% 2.70/3.00 1272 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(905,c,883,b)].
% 2.70/3.00 1273 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(906,c,883,b)].
% 2.70/3.00 1274 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(907,c,883,b)].
% 2.70/3.00 1275 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(908,b,883,b)].
% 2.70/3.00 1276 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(909,d,883,b)].
% 2.70/3.00 1277 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(910,c,883,b)].
% 2.70/3.00 1278 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(911,c,883,b)].
% 2.70/3.00 1279 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(912,c,883,b)].
% 2.70/3.00 1280 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(913,c,883,b)].
% 2.70/3.00 1281 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(914,c,883,b)].
% 2.70/3.00 1282 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(915,c,883,b)].
% 2.70/3.00 1283 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(916,c,883,b)].
% 2.70/3.00 1284 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(917,c,883,b)].
% 2.70/3.00 1285 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1031,b,1012,b)].
% 2.70/3.00 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1285,b,1230,b)].
% 2.70/3.00 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1285,b,1231,b)].
% 2.70/3.00 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1285,b,1232,b)].
% 2.80/3.02 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1285,b,1233,b)].
% 2.80/3.02 1286 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1032,b,1012,b)].
% 2.80/3.02 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1286,b,1232,b)].
% 2.80/3.02 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1286,b,1233,b)].
% 2.80/3.02 1287 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1033,b,1012,b)].
% 2.80/3.02 1288 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1034,c,1012,b)].
% 2.80/3.02 1289 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1035,c,1012,b)].
% 2.80/3.02 1290 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1036,c,1012,b)].
% 2.80/3.02 1291 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1037,c,1012,b)].
% 2.80/3.02 1292 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1038,b,1012,b)].
% 2.80/3.02 1293 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1039,d,1012,b)].
% 2.80/3.02 1294 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1040,c,1012,b)].
% 2.80/3.02 1295 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1041,c,1012,b)].
% 2.80/3.02 1296 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1042,c,1012,b)].
% 2.80/3.02 1297 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1043,c,1012,b)].
% 2.80/3.02 1298 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1044,c,1012,b)].
% 2.80/3.02 1299 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1045,c,1012,b)].
% 2.80/3.02 1300 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1046,c,1012,b)].
% 2.80/3.02 1301 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1047,c,1012,b)].
% 2.80/3.02 1302 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1144,a,1133,b)].
% 2.80/3.02 1303 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1147,b,1133,b)].
% 2.80/3.02 1304 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1148,b,1133,b)].
% 2.80/3.02 1305 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1149,b,1133,b)].
% 2.80/3.02 1306 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1150,b,1133,b)].
% 2.80/3.02 1307 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1206,d,1175,b)].
% 2.80/3.02 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(c_0,C,tc_IntDef_Oint) | c_lessequals(c_times(A,C,tc_IntDef_Oint),c_times(B,C,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1307,d,1227,a)].
% 2.80/3.02 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(c_0,C,tc_nat) | c_lessequals(c_times(A,C,tc_nat),c_times(B,C,tc_nat),tc_nat). [resolve(1307,d,1228,a)].
% 2.80/3.02 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1307,d,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1307,d,1230,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1307,d,1231,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1307,d,1232,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1307,d,1233,b)].
% 2.80/3.03 1308 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1207,b,1175,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(1308,b,1227,a)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(1308,b,1228,a)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1308,b,1229,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1308,b,1230,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1308,b,1231,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1308,b,1232,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1308,b,1233,b)].
% 2.80/3.03 1309 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1208,b,1175,b)].
% 2.80/3.03 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(1309,b,1227,a)].
% 2.80/3.03 Derived: class_HOL_Otimes(tc_nat). [resolve(1309,b,1228,a)].
% 2.80/3.03 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1309,b,1229,b)].
% 2.80/3.03 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1309,b,1230,b)].
% 2.80/3.03 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1309,b,1231,b)].
% 2.80/3.03 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1309,b,1232,b)].
% 2.80/3.03 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1309,b,1233,b)].
% 2.80/3.03 1310 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1209,b,1175,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(1310,b,1227,a)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_nat). [resolve(1310,b,1228,a)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1310,b,1229,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1310,b,1230,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1310,b,1231,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1310,b,1232,b)].
% 2.80/3.03 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1310,b,1233,b)].
% 2.80/3.03 1311 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semiring__strict(A). [resolve(1210,b,1175,b)].
% 2.80/3.03 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(1311,b,1227,a)].
% 2.80/3.03 Derived: class_HOL_Ozero(tc_nat). [resolve(1311,b,1228,a)].
% 2.80/3.03 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1311,b,1229,b)].
% 2.80/3.03 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1311,b,1230,b)].
% 2.80/3.03 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1311,b,1231,b)].
% 2.80/3.03 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1311,b,1232,b)].
% 2.80/3.03 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1311,b,1233,b)].
% 2.80/3.03 1312 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1211,b,1175,b)].
% 2.80/3.03 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1312,b,1227,a)].
% 2.80/3.03 Derived: -c_less(A,A,tc_nat). [resolve(1312,b,1228,a)].
% 2.80/3.03 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1312,b,1229,b)].
% 2.80/3.03 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1312,b,1230,b)].
% 2.80/3.03 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1312,b,1231,b)].
% 2.80/3.03 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1312,b,1232,b)].
% 2.80/3.03 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1312,b,1233,b)].
% 2.80/3.03 1313 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1212,c,1175,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1313,c,1227,a)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1313,c,1228,a)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1313,c,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1313,c,1230,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1313,c,1231,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1313,c,1232,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1313,c,1233,b)].
% 2.80/3.03 1314 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1213,c,1175,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1314,c,1227,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(1314,c,1228,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1314,c,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1314,c,1230,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1314,c,1231,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1314,c,1232,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1314,c,1233,b)].
% 2.80/3.03 1315 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1214,c,1175,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1315,c,1227,a)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1315,c,1228,a)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1315,c,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1315,c,1230,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1315,c,1231,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1315,c,1232,b)].
% 2.80/3.03 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1315,c,1233,b)].
% 2.80/3.03 1316 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1215,c,1175,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1316,c,1227,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(1316,c,1228,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1316,c,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1316,c,1230,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1316,c,1231,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1316,c,1232,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1316,c,1233,b)].
% 2.80/3.03 1317 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semiring__strict(B). [resolve(1216,b,1175,b)].
% 2.80/3.03 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1317,b,1227,a)].
% 2.80/3.03 Derived: c_lessequals(A,A,tc_nat). [resolve(1317,b,1228,a)].
% 2.80/3.03 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1317,b,1229,b)].
% 2.80/3.03 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1317,b,1230,b)].
% 2.80/3.03 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1317,b,1231,b)].
% 2.80/3.03 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1317,b,1232,b)].
% 2.80/3.03 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1317,b,1233,b)].
% 2.80/3.03 1318 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1217,d,1175,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1318,d,1227,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(1318,d,1228,a)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1318,d,1229,b)].
% 2.80/3.03 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1318,d,1230,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1318,d,1231,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1318,d,1232,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1318,d,1233,b)].
% 2.80/3.04 1319 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1218,c,1175,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1319,c,1227,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1319,c,1228,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1319,c,1229,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1319,c,1230,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1319,c,1231,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1319,c,1232,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1319,c,1233,b)].
% 2.80/3.04 1320 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1219,c,1175,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1320,c,1227,a)].
% 2.80/3.04 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(1320,c,1228,a)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1320,c,1229,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1320,c,1230,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1320,c,1231,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1320,c,1232,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1320,c,1233,b)].
% 2.80/3.04 1321 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1220,c,1175,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1321,c,1227,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(1321,c,1228,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1321,c,1229,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1321,c,1230,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1321,c,1231,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1321,c,1232,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1321,c,1233,b)].
% 2.80/3.04 1322 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1221,c,1175,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1322,c,1227,a)].
% 2.80/3.04 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(1322,c,1228,a)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1322,c,1229,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1322,c,1230,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1322,c,1231,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1322,c,1232,b)].
% 2.80/3.04 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1322,c,1233,b)].
% 2.80/3.04 1323 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1222,c,1175,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1323,c,1227,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(1323,c,1228,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1323,c,1229,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1323,c,1230,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1323,c,1231,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1323,c,1232,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1323,c,1233,b)].
% 2.80/3.04 1324 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1223,c,1175,b)].
% 2.80/3.04 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1324,c,1227,a)].
% 2.80/3.04 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(1324,c,1228,a)].
% 2.80/3.04 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1324,c,1229,b)].
% 2.80/3.04 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1324,c,1230,b)].
% 2.80/3.04 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1324,c,1231,b)].
% 2.80/3.04 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1324,c,1232,b)].
% 2.80/3.04 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1324,c,1233,b)].
% 2.80/3.04 1325 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1224,c,1175,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1325,c,1227,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(1325,c,1228,a)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1325,c,1229,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1325,c,1230,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1325,c,1231,b)].
% 2.80/3.04 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1325,c,1232,b)].
% 2.80/3.08 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1325,c,1233,b)].
% 2.80/3.08 1326 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semiring__strict(C). [resolve(1225,c,1175,b)].
% 2.80/3.08 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1326,c,1227,a)].
% 2.80/3.08 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(1326,c,1228,a)].
% 2.80/3.08 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1326,c,1229,b)].
% 2.80/3.08 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1326,c,1230,b)].
% 2.80/3.08 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1326,c,1231,b)].
% 2.80/3.08 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1326,c,1232,b)].
% 2.80/3.08 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1326,c,1233,b)].
% 2.80/3.08 1327 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_10) # label(axiom). [assumption].
% 2.80/3.08 1328 class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_43) # label(axiom). [assumption].
% 2.80/3.08 1329 class_Ring__and__Field_Opordered__comm__semiring(tc_nat) # label(clsarity_nat_40) # label(axiom). [assumption].
% 2.80/3.08 1330 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) # label(axiom). [assumption].
% 2.80/3.08 1331 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_37) # label(axiom). [assumption].
% 2.80/3.08 1332 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_41) # label(axiom). [assumption].
% 2.80/3.08 1333 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_35) # label(axiom). [assumption].
% 2.80/3.08 1334 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) # label(axiom). [assumption].
% 2.80/3.08 1335 -class_Ring__and__Field_Opordered__comm__ring(A) | class_Ring__and__Field_Opordered__comm__semiring(A) # label(clsrel_Ring__and__Field_Opordered__comm__ring_20) # label(axiom). [assumption].
% 2.80/3.08 1336 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_11) # label(axiom). [assumption].
% 2.80/3.08 1337 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_5) # label(axiom). [assumption].
% 2.80/3.08 1338 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_6) # label(axiom). [assumption].
% 2.80/3.08 1339 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_7) # label(axiom). [assumption].
% 2.80/3.08 1340 -class_Ring__and__Field_Opordered__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__comm__semiring_9) # label(axiom). [assumption].
% 2.80/3.08 1341 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(155,a,150,b)].
% 2.80/3.08 1342 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(156,a,150,b)].
% 2.89/3.13 1343 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(157,a,150,b)].
% 2.89/3.13 1344 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(158,a,150,b)].
% 2.89/3.13 1345 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(226,a,217,b)].
% 2.89/3.13 1346 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(227,a,217,b)].
% 2.89/3.13 1347 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,B,A). [resolve(701,b,669,a)].
% 2.89/3.13 1348 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(701,b,670,a)].
% 2.89/3.13 1349 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(701,b,671,a)].
% 2.89/3.13 1350 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(701,b,672,a)].
% 2.89/3.13 1351 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(701,b,673,a)].
% 2.89/3.13 1352 -class_Ring__and__Field_Opordered__comm__semiring(A) | c_lessequals(B,B,A). [resolve(701,b,674,a)].
% 2.89/3.13 1353 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(705,a,701,b)].
% 2.89/3.13 1354 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(770,b,737,a)].
% 2.89/3.13 1355 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(770,b,738,a)].
% 2.89/3.13 1356 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(770,b,739,a)].
% 2.89/3.13 1357 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(770,b,740,a)].
% 2.89/3.13 1358 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(770,b,741,a)].
% 2.89/3.13 1359 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(770,b,742,a)].
% 2.89/3.13 1360 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(770,b,743,a)].
% 2.89/3.13 1361 -class_Ring__and__Field_Opordered__comm__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(770,b,744,a)].
% 2.89/3.13 1362 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1144,a,1137,b)].
% 2.89/3.13 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1362,d,1335,b)].
% 2.89/3.13 1363 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1145,b,1137,b)].
% 2.89/3.13 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1363,b,1328,a)].
% 2.89/3.13 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(1363,b,1329,a)].
% 2.89/3.13 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1363,b,1330,b)].
% 2.89/3.13 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1363,b,1335,b)].
% 2.89/3.13 1364 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1146,b,1137,b)].
% 2.89/3.13 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(1364,b,1328,a)].
% 2.89/3.13 Derived: class_HOL_Oplus(tc_nat). [resolve(1364,b,1329,a)].
% 2.89/3.13 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1364,b,1330,b)].
% 2.89/3.13 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1364,b,1331,b)].
% 2.89/3.14 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1364,b,1332,b)].
% 2.89/3.14 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1364,b,1335,b)].
% 2.89/3.14 1365 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1147,b,1137,b)].
% 2.89/3.14 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1365,b,1335,b)].
% 2.89/3.14 1366 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1148,b,1137,b)].
% 2.89/3.14 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1366,b,1335,b)].
% 2.89/3.14 1367 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1149,b,1137,b)].
% 2.89/3.14 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1367,b,1335,b)].
% 2.89/3.14 1368 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__semiring(A). [resolve(1150,b,1137,b)].
% 2.89/3.14 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__comm__ring(A). [resolve(1368,b,1335,b)].
% 2.89/3.14 1369 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1151,a,1137,b)].
% 2.89/3.14 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1369,b,1335,b)].
% 2.89/3.14 1370 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1152,a,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1370,c,1335,b)].
% 2.89/3.14 1371 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1153,a,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1371,c,1335,b)].
% 2.89/3.14 1372 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1154,a,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1372,c,1335,b)].
% 2.89/3.14 1373 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1155,a,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1373,c,1335,b)].
% 2.89/3.14 1374 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__semiring(B). [resolve(1156,a,1137,b)].
% 2.89/3.14 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__comm__ring(B). [resolve(1374,b,1335,b)].
% 2.89/3.14 1375 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1157,d,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1375,d,1335,b)].
% 2.89/3.14 1376 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1158,a,1137,b)].
% 2.89/3.14 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1376,c,1335,b)].
% 2.89/3.14 1377 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1159,a,1137,b)].
% 2.89/3.14 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1377,c,1335,b)].
% 2.89/3.14 1378 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1160,a,1137,b)].
% 2.98/3.19 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1378,c,1335,b)].
% 2.98/3.19 1379 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1161,a,1137,b)].
% 2.98/3.19 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1379,c,1335,b)].
% 2.98/3.19 1380 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1162,a,1137,b)].
% 2.98/3.19 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1380,c,1335,b)].
% 2.98/3.19 1381 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1163,a,1137,b)].
% 2.98/3.19 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1381,c,1335,b)].
% 2.98/3.19 1382 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1164,a,1137,b)].
% 2.98/3.19 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1382,c,1335,b)].
% 2.98/3.19 1383 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__comm__semiring(C). [resolve(1165,a,1137,b)].
% 2.98/3.19 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__comm__ring(C). [resolve(1383,c,1335,b)].
% 2.98/3.19 1384 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_12) # label(axiom). [assumption].
% 2.98/3.19 1385 class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_44) # label(axiom). [assumption].
% 2.98/3.19 1386 class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) # label(clsarity_nat_41) # label(axiom). [assumption].
% 2.98/3.19 1387 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) # label(axiom). [assumption].
% 2.98/3.19 1388 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__field_36) # label(axiom). [assumption].
% 2.98/3.19 1389 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__idom_39) # label(axiom). [assumption].
% 2.98/3.19 1390 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Opordered__cancel__comm__semiring(A) # label(clsrel_Ring__and__Field_Oordered__semidom_33) # label(axiom). [assumption].
% 2.98/3.19 1391 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_13) # label(axiom). [assumption].
% 2.98/3.19 1392 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_6) # label(axiom). [assumption].
% 2.98/3.19 1393 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_7) # label(axiom). [assumption].
% 2.98/3.19 1394 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_8) # label(axiom). [assumption].
% 2.98/3.19 1395 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_9) # label(axiom). [assumption].
% 2.98/3.19 1396 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(31,b,1,a)].
% 3.00/3.24 1397 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | class_HOL_Oplus(A). [resolve(31,b,8,a)].
% 3.00/3.24 1398 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(157,a,147,b)].
% 3.00/3.24 1399 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(158,a,147,b)].
% 3.00/3.24 1400 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(189,b,185,b)].
% 3.00/3.24 1401 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(190,b,185,b)].
% 3.00/3.24 1402 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(226,a,214,b)].
% 3.00/3.24 1403 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(227,a,214,b)].
% 3.00/3.24 1404 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,B,A). [resolve(698,b,669,a)].
% 3.00/3.24 1405 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(698,b,670,a)].
% 3.00/3.24 1406 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(698,b,671,a)].
% 3.00/3.24 1407 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(698,b,672,a)].
% 3.00/3.24 1408 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(698,b,673,a)].
% 3.00/3.24 1409 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | c_lessequals(B,B,A). [resolve(698,b,674,a)].
% 3.00/3.24 1410 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(705,a,698,b)].
% 3.00/3.24 1411 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(767,b,737,a)].
% 3.00/3.24 1412 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(767,b,738,a)].
% 3.00/3.24 1413 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(767,b,739,a)].
% 3.00/3.24 1414 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(767,b,740,a)].
% 3.00/3.24 1415 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(767,b,741,a)].
% 3.00/3.24 1416 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(767,b,742,a)].
% 3.00/3.24 1417 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(767,b,743,a)].
% 3.00/3.24 1418 -class_Ring__and__Field_Opordered__cancel__comm__semiring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(767,b,744,a)].
% 3.00/3.24 1419 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1144,a,1134,b)].
% 3.00/3.24 1420 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1147,b,1134,b)].
% 3.00/3.24 1421 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1148,b,1134,b)].
% 3.00/3.24 1422 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1149,b,1134,b)].
% 3.00/3.24 1423 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1150,b,1134,b)].
% 3.00/3.24 1424 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1151,a,1134,b)].
% 3.00/3.24 1425 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1152,a,1134,b)].
% 3.00/3.25 1426 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1153,a,1134,b)].
% 3.00/3.25 1427 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1154,a,1134,b)].
% 3.00/3.25 1428 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1155,a,1134,b)].
% 3.00/3.25 1429 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1156,a,1134,b)].
% 3.00/3.25 1430 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1157,d,1134,b)].
% 3.00/3.25 1431 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1158,a,1134,b)].
% 3.00/3.25 1432 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1159,a,1134,b)].
% 3.00/3.25 1433 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1160,a,1134,b)].
% 3.00/3.25 1434 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1161,a,1134,b)].
% 3.00/3.25 1435 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1162,a,1134,b)].
% 3.00/3.25 1436 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1163,a,1134,b)].
% 3.00/3.25 1437 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1164,a,1134,b)].
% 3.00/3.25 1438 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1165,a,1134,b)].
% 3.00/3.25 1439 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1189,b,1176,b)].
% 3.00/3.25 1440 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1190,a,1176,b)].
% 3.00/3.25 1441 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1206,d,1176,b)].
% 3.00/3.25 1442 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1207,b,1176,b)].
% 3.00/3.25 1443 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1208,b,1176,b)].
% 3.00/3.25 1444 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1209,b,1176,b)].
% 3.00/3.25 1445 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(A). [resolve(1210,b,1176,b)].
% 3.00/3.25 1446 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1211,b,1176,b)].
% 3.00/3.25 1447 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1212,c,1176,b)].
% 3.00/3.25 1448 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1213,c,1176,b)].
% 3.00/3.25 1449 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1214,c,1176,b)].
% 3.00/3.25 1450 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1215,c,1176,b)].
% 3.00/3.30 1451 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(B). [resolve(1216,b,1176,b)].
% 3.00/3.30 1452 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1217,d,1176,b)].
% 3.00/3.30 1453 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1218,c,1176,b)].
% 3.00/3.30 1454 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1219,c,1176,b)].
% 3.00/3.30 1455 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1220,c,1176,b)].
% 3.00/3.30 1456 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1221,c,1176,b)].
% 3.00/3.30 1457 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1222,c,1176,b)].
% 3.00/3.30 1458 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1223,c,1176,b)].
% 3.00/3.30 1459 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1224,c,1176,b)].
% 3.00/3.30 1460 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__cancel__comm__semiring(C). [resolve(1225,c,1176,b)].
% 3.00/3.30 1461 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_10) # label(axiom). [assumption].
% 3.00/3.30 1462 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_45) # label(axiom). [assumption].
% 3.00/3.30 1463 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) # label(clsarity_nat_42) # label(axiom). [assumption].
% 3.00/3.30 1464 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_11) # label(axiom). [assumption].
% 3.00/3.30 1465 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_5) # label(axiom). [assumption].
% 3.00/3.30 1466 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_6) # label(axiom). [assumption].
% 3.00/3.30 1467 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_7) # label(axiom). [assumption].
% 3.00/3.30 1468 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__comm__semiring__strict_9) # label(axiom). [assumption].
% 3.00/3.30 1469 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_35) # label(axiom). [assumption].
% 3.00/3.30 1470 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_30) # label(axiom). [assumption].
% 3.00/3.30 1471 -class_Ring__and__Field_Oordered__semidom(A) | class_Ring__and__Field_Oordered__comm__semiring__strict(A) # label(clsrel_Ring__and__Field_Oordered__semidom_24) # label(axiom). [assumption].
% 3.00/3.30 1472 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | class_HOL_Oplus(A). [resolve(25,b,8,a)].
% 3.00/3.30 1473 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(77,b,63,b)].
% 3.00/3.30 1474 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(157,a,141,b)].
% 3.00/3.30 1475 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(158,a,141,b)].
% 3.00/3.30 1476 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(189,b,181,b)].
% 3.09/3.32 1477 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(190,b,181,b)].
% 3.09/3.32 1478 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(226,a,208,b)].
% 3.09/3.32 1479 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(227,a,208,b)].
% 3.09/3.32 1480 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,B,A). [resolve(692,b,669,a)].
% 3.09/3.32 1481 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(692,b,670,a)].
% 3.09/3.32 1482 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(692,b,671,a)].
% 3.09/3.32 1483 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(692,b,672,a)].
% 3.09/3.32 1484 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(692,b,673,a)].
% 3.09/3.32 1485 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_lessequals(B,B,A). [resolve(692,b,674,a)].
% 3.09/3.32 1486 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(705,a,692,b)].
% 3.09/3.32 1487 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(721,b,707,a)].
% 3.09/3.32 1488 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(721,b,708,a)].
% 3.09/3.32 1489 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(721,b,709,a)].
% 3.09/3.32 1490 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(721,b,710,a)].
% 3.09/3.32 1491 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(721,b,711,a)].
% 3.09/3.32 1492 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(721,b,712,a)].
% 3.09/3.32 1493 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(721,b,713,a)].
% 3.09/3.32 1494 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(721,b,714,a)].
% 3.09/3.32 1495 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(761,b,737,a)].
% 3.09/3.32 1496 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(761,b,738,a)].
% 3.09/3.32 1497 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(761,b,739,a)].
% 3.09/3.32 1498 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(761,b,740,a)].
% 3.09/3.32 1499 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(761,b,741,a)].
% 3.09/3.32 1500 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(761,b,742,a)].
% 3.09/3.32 1501 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(761,b,743,a)].
% 3.09/3.34 1502 -class_Ring__and__Field_Oordered__comm__semiring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(761,b,744,a)].
% 3.09/3.34 1503 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(903,b,878,b)].
% 3.09/3.34 1504 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(904,c,878,b)].
% 3.09/3.34 1505 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(905,c,878,b)].
% 3.09/3.34 1506 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(906,c,878,b)].
% 3.09/3.34 1507 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(907,c,878,b)].
% 3.09/3.34 1508 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(908,b,878,b)].
% 3.09/3.34 1509 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(909,d,878,b)].
% 3.09/3.34 1510 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(910,c,878,b)].
% 3.09/3.34 1511 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(911,c,878,b)].
% 3.09/3.34 1512 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(912,c,878,b)].
% 3.09/3.34 1513 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(913,c,878,b)].
% 3.09/3.34 1514 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(914,c,878,b)].
% 3.09/3.34 1515 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(915,c,878,b)].
% 3.09/3.34 1516 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(916,c,878,b)].
% 3.09/3.34 1517 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(917,c,878,b)].
% 3.09/3.34 1518 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(979,a,970,b)].
% 3.09/3.34 1519 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(980,a,970,b)].
% 3.09/3.34 1520 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1033,b,1007,b)].
% 3.09/3.34 1521 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1034,c,1007,b)].
% 3.09/3.34 1522 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1035,c,1007,b)].
% 3.09/3.34 1523 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1036,c,1007,b)].
% 3.09/3.34 1524 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1037,c,1007,b)].
% 3.09/3.34 1525 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1038,b,1007,b)].
% 3.09/3.34 1526 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1039,d,1007,b)].
% 3.09/3.34 1527 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1040,c,1007,b)].
% 3.09/3.35 1528 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1041,c,1007,b)].
% 3.09/3.35 1529 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1042,c,1007,b)].
% 3.09/3.35 1530 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1043,c,1007,b)].
% 3.09/3.35 1531 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1044,c,1007,b)].
% 3.09/3.35 1532 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1045,c,1007,b)].
% 3.09/3.35 1533 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1046,c,1007,b)].
% 3.09/3.35 1534 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1047,c,1007,b)].
% 3.09/3.35 1535 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1107,b,1052,b)].
% 3.09/3.35 1536 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1108,b,1052,b)].
% 3.09/3.35 1537 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1144,a,1128,b)].
% 3.09/3.35 1538 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1147,b,1128,b)].
% 3.09/3.35 1539 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1148,b,1128,b)].
% 3.09/3.35 1540 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1149,b,1128,b)].
% 3.09/3.35 1541 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1150,b,1128,b)].
% 3.09/3.35 1542 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1206,d,1170,b)].
% 3.09/3.35 1543 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1207,b,1170,b)].
% 3.09/3.35 1544 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1208,b,1170,b)].
% 3.09/3.35 1545 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1209,b,1170,b)].
% 3.09/3.35 1546 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1210,b,1170,b)].
% 3.09/3.35 1547 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1211,b,1170,b)].
% 3.09/3.35 1548 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1212,c,1170,b)].
% 3.09/3.35 1549 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1213,c,1170,b)].
% 3.09/3.35 1550 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1214,c,1170,b)].
% 3.09/3.35 1551 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1215,c,1170,b)].
% 3.09/3.35 1552 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1216,b,1170,b)].
% 3.09/3.35 1553 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1217,d,1170,b)].
% 3.09/3.35 1554 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1218,c,1170,b)].
% 3.09/3.35 1555 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1219,c,1170,b)].
% 3.09/3.36 1556 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1220,c,1170,b)].
% 3.09/3.36 1557 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1221,c,1170,b)].
% 3.09/3.36 1558 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1222,c,1170,b)].
% 3.09/3.36 1559 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1223,c,1170,b)].
% 3.09/3.36 1560 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1224,c,1170,b)].
% 3.09/3.36 1561 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1225,c,1170,b)].
% 3.09/3.36 1562 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1254,a,1229,b)].
% 3.09/3.36 Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B. [resolve(1562,c,1462,a)].
% 3.09/3.36 Derived: c_SetInterval_OatLeast(A,tc_nat) != c_SetInterval_OatLeast(B,tc_nat) | A = B. [resolve(1562,c,1463,a)].
% 3.09/3.36 1563 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1255,a,1229,b)].
% 3.09/3.36 Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B. [resolve(1563,c,1462,a)].
% 3.09/3.36 Derived: c_SetInterval_OatMost(A,tc_nat) != c_SetInterval_OatMost(B,tc_nat) | A = B. [resolve(1563,c,1463,a)].
% 3.09/3.36 1564 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1256,a,1229,b)].
% 3.09/3.36 Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B. [resolve(1564,c,1462,a)].
% 3.09/3.36 Derived: c_SetInterval_OgreaterThan(A,tc_nat) != c_SetInterval_OgreaterThan(B,tc_nat) | A = B. [resolve(1564,c,1463,a)].
% 3.09/3.36 1565 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1257,a,1229,b)].
% 3.09/3.36 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1565,c,1462,a)].
% 3.09/3.36 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_nat),c_SetInterval_OgreaterThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1565,c,1463,a)].
% 3.09/3.36 1566 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1258,a,1229,b)].
% 3.09/3.36 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1566,c,1462,a)].
% 3.09/3.36 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_nat),c_SetInterval_OgreaterThan(A,tc_nat),tc_set(tc_nat)). [resolve(1566,c,1463,a)].
% 3.09/3.36 1567 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1259,a,1229,b)].
% 3.09/3.36 Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B. [resolve(1567,c,1462,a)].
% 3.09/3.36 Derived: c_SetInterval_OlessThan(A,tc_nat) != c_SetInterval_OlessThan(B,tc_nat) | A = B. [resolve(1567,c,1463,a)].
% 3.09/3.36 1568 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1260,a,1229,b)].
% 3.09/3.36 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1568,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1568,c,1463,a)].
% 3.09/3.37 1569 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1261,a,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1569,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OlessThan(A,tc_nat),c_SetInterval_OlessThan(B,tc_nat),tc_set(tc_nat)). [resolve(1569,c,1463,a)].
% 3.09/3.37 1570 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1307,d,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(c_0,C,tc_IntDef_Oint) | c_lessequals(c_times(A,C,tc_IntDef_Oint),c_times(B,C,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1570,d,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(c_0,C,tc_nat) | c_lessequals(c_times(A,C,tc_nat),c_times(B,C,tc_nat),tc_nat). [resolve(1570,d,1463,a)].
% 3.09/3.37 1571 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1308,b,1229,b)].
% 3.09/3.37 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(1571,b,1462,a)].
% 3.09/3.37 Derived: class_OrderedGroup_Osemigroup__mult(tc_nat). [resolve(1571,b,1463,a)].
% 3.09/3.37 1572 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1309,b,1229,b)].
% 3.09/3.37 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(1572,b,1462,a)].
% 3.09/3.37 Derived: class_HOL_Otimes(tc_nat). [resolve(1572,b,1463,a)].
% 3.09/3.37 1573 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1310,b,1229,b)].
% 3.09/3.37 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(1573,b,1462,a)].
% 3.09/3.37 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_nat). [resolve(1573,b,1463,a)].
% 3.09/3.37 1574 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1311,b,1229,b)].
% 3.09/3.37 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(1574,b,1462,a)].
% 3.09/3.37 Derived: class_HOL_Ozero(tc_nat). [resolve(1574,b,1463,a)].
% 3.09/3.37 1575 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1312,b,1229,b)].
% 3.09/3.37 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1575,b,1462,a)].
% 3.09/3.37 Derived: -c_less(A,A,tc_nat). [resolve(1575,b,1463,a)].
% 3.09/3.37 1576 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1313,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1576,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_nat),c_SetInterval_OatLeast(B,tc_nat),tc_set(tc_nat)) | c_lessequals(B,A,tc_nat). [resolve(1576,c,1463,a)].
% 3.09/3.37 1577 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1314,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1577,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatLeast(B,tc_nat),c_SetInterval_OatLeast(A,tc_nat),tc_set(tc_nat)). [resolve(1577,c,1463,a)].
% 3.09/3.37 1578 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1315,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1578,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)) | c_lessequals(A,B,tc_nat). [resolve(1578,c,1463,a)].
% 3.09/3.37 1579 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1316,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1579,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | c_lessequals(c_SetInterval_OatMost(A,tc_nat),c_SetInterval_OatMost(B,tc_nat),tc_set(tc_nat)). [resolve(1579,c,1463,a)].
% 3.09/3.37 1580 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__comm__semiring__strict(B). [resolve(1317,b,1229,b)].
% 3.09/3.37 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1580,b,1462,a)].
% 3.09/3.37 Derived: c_lessequals(A,A,tc_nat). [resolve(1580,b,1463,a)].
% 3.09/3.37 1581 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1318,d,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1581,d,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | -c_lessequals(C,A,tc_nat) | c_lessequals(C,B,tc_nat). [resolve(1581,d,1463,a)].
% 3.09/3.37 1582 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1319,c,1229,b)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1582,c,1462,a)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_nat),tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1582,c,1463,a)].
% 3.09/3.37 1583 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1320,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1583,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | c_in(B,c_SetInterval_OatLeast(A,tc_nat),tc_nat). [resolve(1583,c,1463,a)].
% 3.09/3.37 1584 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1321,c,1229,b)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1584,c,1462,a)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat) | c_lessequals(A,B,tc_nat). [resolve(1584,c,1463,a)].
% 3.09/3.37 1585 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1322,c,1229,b)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1585,c,1462,a)].
% 3.09/3.37 Derived: -c_lessequals(A,B,tc_nat) | c_in(A,c_SetInterval_OatMost(B,tc_nat),tc_nat). [resolve(1585,c,1463,a)].
% 3.09/3.37 1586 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1323,c,1229,b)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1586,c,1462,a)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_nat),tc_nat) | c_less(B,A,tc_nat). [resolve(1586,c,1463,a)].
% 3.09/3.37 1587 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1324,c,1229,b)].
% 3.09/3.37 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1587,c,1462,a)].
% 3.09/3.37 Derived: -c_less(A,B,tc_nat) | c_in(B,c_SetInterval_OgreaterThan(A,tc_nat),tc_nat). [resolve(1587,c,1463,a)].
% 3.09/3.37 1588 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1325,c,1229,b)].
% 3.09/3.37 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1588,c,1462,a)].
% 3.19/3.48 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat) | c_less(A,B,tc_nat). [resolve(1588,c,1463,a)].
% 3.19/3.48 1589 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__comm__semiring__strict(C). [resolve(1326,c,1229,b)].
% 3.19/3.48 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1589,c,1462,a)].
% 3.19/3.48 Derived: -c_less(A,B,tc_nat) | c_in(A,c_SetInterval_OlessThan(B,tc_nat),tc_nat). [resolve(1589,c,1463,a)].
% 3.19/3.48 1590 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1363,b,1330,b)].
% 3.19/3.48 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1590,b,1462,a)].
% 3.19/3.48 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(1590,b,1463,a)].
% 3.19/3.48 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1590,b,1469,b)].
% 3.19/3.48 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1590,b,1470,b)].
% 3.19/3.48 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1590,b,1471,b)].
% 3.19/3.48 1591 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__comm__semiring__strict(A). [resolve(1364,b,1330,b)].
% 3.19/3.48 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(1591,b,1462,a)].
% 3.19/3.48 Derived: class_HOL_Oplus(tc_nat). [resolve(1591,b,1463,a)].
% 3.19/3.48 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1591,b,1471,b)].
% 3.19/3.48 1592 -class_Ring__and__Field_Oaxclass__abs__if(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oaxclass__abs__if_0) # label(axiom). [assumption].
% 3.19/3.48 1593 class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_46) # label(axiom). [assumption].
% 3.19/3.48 1594 -class_Ring__and__Field_Oaxclass__abs__if(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oaxclass__abs__if_2) # label(axiom). [assumption].
% 3.19/3.48 1595 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__field_42) # label(axiom). [assumption].
% 3.19/3.48 1596 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__idom_46) # label(axiom). [assumption].
% 3.19/3.48 1597 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oaxclass__abs__if(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_28) # label(axiom). [assumption].
% 3.19/3.48 1598 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(759,b,737,a)].
% 3.19/3.48 1599 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(759,b,738,a)].
% 3.19/3.48 1600 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(759,b,739,a)].
% 3.19/3.48 1601 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(759,b,740,a)].
% 3.19/3.48 1602 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(759,b,741,a)].
% 3.19/3.48 1603 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(759,b,742,a)].
% 3.19/3.48 1604 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(759,b,743,a)].
% 3.19/3.48 1605 -class_Ring__and__Field_Oaxclass__abs__if(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(759,b,744,a)].
% 3.19/3.48 1606 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_0) # label(axiom). [assumption].
% 3.19/3.48 1607 class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_47) # label(axiom). [assumption].
% 3.19/3.48 1608 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_0) # label(axiom). [assumption].
% 3.19/3.49 1609 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_1) # label(axiom). [assumption].
% 3.19/3.49 1610 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_0) # label(axiom). [assumption].
% 3.19/3.49 1611 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_0) # label(axiom). [assumption].
% 3.19/3.49 Derived: class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1606,a,1608,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1606,a,1609,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1606,a,1610,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1606,a,1611,b)].
% 3.19/3.49 1612 -class_OrderedGroup_Opordered__ab__group__add(A) | class_HOL_Ominus(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_1) # label(axiom). [assumption].
% 3.19/3.49 Derived: class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1612,a,1608,b)].
% 3.19/3.49 Derived: class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1612,a,1609,b)].
% 3.19/3.49 Derived: class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1612,a,1610,b)].
% 3.19/3.49 Derived: class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1612,a,1611,b)].
% 3.19/3.49 1613 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_2) # label(axiom). [assumption].
% 3.19/3.49 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1613,a,1608,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1613,a,1609,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1613,a,1610,b)].
% 3.19/3.49 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1613,a,1611,b)].
% 3.19/3.49 1614 -class_OrderedGroup_Opordered__ab__group__add(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_3) # label(axiom). [assumption].
% 3.19/3.49 Derived: class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1614,a,1608,b)].
% 3.19/3.49 Derived: class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1614,a,1609,b)].
% 3.19/3.49 Derived: class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1614,a,1610,b)].
% 3.19/3.49 Derived: class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1614,a,1611,b)].
% 3.19/3.49 1615 -class_OrderedGroup_Opordered__ab__group__add(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_7) # label(axiom). [assumption].
% 3.19/3.49 1616 -class_OrderedGroup_Opordered__ab__group__add(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Opordered__ab__group__add_8) # label(axiom). [assumption].
% 3.19/3.49 1617 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_2) # label(axiom). [assumption].
% 3.19/3.49 1618 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__field_54) # label(axiom). [assumption].
% 3.19/3.49 1619 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_54) # label(axiom). [assumption].
% 3.19/3.49 1620 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_30) # label(axiom). [assumption].
% 3.30/3.52 1621 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Opordered__ab__group__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_19) # label(axiom). [assumption].
% 3.30/3.52 1622 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(77,b,52,b)].
% 3.30/3.52 1623 class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(78,b,52,b)].
% 3.30/3.52 1624 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,B,A). [resolve(685,b,669,a)].
% 3.30/3.52 1625 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(685,b,670,a)].
% 3.30/3.52 1626 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(685,b,671,a)].
% 3.30/3.52 1627 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(685,b,672,a)].
% 3.30/3.52 1628 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(685,b,673,a)].
% 3.30/3.52 1629 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,B,A). [resolve(685,b,674,a)].
% 3.30/3.52 1630 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(705,a,685,b)].
% 3.30/3.52 1631 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(755,b,737,a)].
% 3.30/3.52 1632 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(755,b,738,a)].
% 3.30/3.52 1633 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(755,b,739,a)].
% 3.30/3.52 1634 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(755,b,740,a)].
% 3.30/3.52 1635 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(755,b,741,a)].
% 3.30/3.52 1636 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(755,b,742,a)].
% 3.30/3.52 1637 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(755,b,743,a)].
% 3.30/3.52 1638 -class_OrderedGroup_Opordered__ab__group__add(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(755,b,744,a)].
% 3.30/3.52 1639 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(943,a,926,b)].
% 3.30/3.52 1640 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(944,a,926,b)].
% 3.30/3.52 1641 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(945,a,926,b)].
% 3.30/3.52 1642 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(946,a,926,b)].
% 3.30/3.52 1643 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(947,a,926,b)].
% 3.30/3.52 1644 c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(948,a,926,b)].
% 3.30/3.52 1645 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(949,d,926,b)].
% 3.30/3.52 1646 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(950,a,926,b)].
% 3.30/3.52 1647 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(951,a,926,b)].
% 3.30/3.52 1648 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(952,a,926,b)].
% 3.31/3.52 1649 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(953,a,926,b)].
% 3.31/3.52 1650 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(954,a,926,b)].
% 3.31/3.52 1651 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(955,a,926,b)].
% 3.31/3.52 1652 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(956,a,926,b)].
% 3.31/3.52 1653 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(957,a,926,b)].
% 3.31/3.52 1654 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(979,a,966,b)].
% 3.31/3.52 1655 class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(980,a,966,b)].
% 3.31/3.52 1656 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(1031,b,1004,b)].
% 3.31/3.52 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1656,b,1608,b)].
% 3.31/3.52 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1656,b,1609,b)].
% 3.31/3.52 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1656,b,1610,b)].
% 3.31/3.52 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1656,b,1611,b)].
% 3.31/3.52 1657 class_HOL_Oplus(A) | -class_OrderedGroup_Opordered__ab__group__add(A). [resolve(1032,b,1004,b)].
% 3.31/3.52 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1657,b,1608,b)].
% 3.31/3.52 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1657,b,1609,b)].
% 3.31/3.52 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1657,b,1610,b)].
% 3.31/3.52 Derived: class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1657,b,1611,b)].
% 3.31/3.52 1658 -c_less(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1033,b,1004,b)].
% 3.31/3.52 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1658,b,1608,b)].
% 3.31/3.52 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1658,b,1609,b)].
% 3.31/3.52 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1658,b,1610,b)].
% 3.31/3.52 Derived: -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1658,b,1611,b)].
% 3.31/3.52 1659 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1034,c,1004,b)].
% 3.31/3.52 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1659,c,1608,b)].
% 3.31/3.52 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1659,c,1609,b)].
% 3.31/3.52 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1659,c,1610,b)].
% 3.31/3.52 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1659,c,1611,b)].
% 3.31/3.52 1660 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1035,c,1004,b)].
% 3.31/3.52 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1660,c,1608,b)].
% 3.31/3.52 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1660,c,1609,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1660,c,1610,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1660,c,1611,b)].
% 3.31/3.53 1661 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1036,c,1004,b)].
% 3.31/3.53 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1661,c,1608,b)].
% 3.31/3.53 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1661,c,1609,b)].
% 3.31/3.53 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1661,c,1610,b)].
% 3.31/3.53 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1661,c,1611,b)].
% 3.31/3.53 1662 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1037,c,1004,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1662,c,1608,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1662,c,1609,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1662,c,1610,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1662,c,1611,b)].
% 3.31/3.53 1663 c_lessequals(A,A,B) | -class_OrderedGroup_Opordered__ab__group__add(B). [resolve(1038,b,1004,b)].
% 3.31/3.53 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1663,b,1608,b)].
% 3.31/3.53 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1663,b,1609,b)].
% 3.31/3.53 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1663,b,1610,b)].
% 3.31/3.53 Derived: c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1663,b,1611,b)].
% 3.31/3.53 1664 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1039,d,1004,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1664,d,1608,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1664,d,1609,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1664,d,1610,b)].
% 3.31/3.53 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1664,d,1611,b)].
% 3.31/3.53 1665 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1040,c,1004,b)].
% 3.31/3.53 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1665,c,1608,b)].
% 3.31/3.53 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1665,c,1609,b)].
% 3.31/3.53 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1665,c,1610,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1665,c,1611,b)].
% 3.31/3.54 1666 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1041,c,1004,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1666,c,1608,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1666,c,1609,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1666,c,1610,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1666,c,1611,b)].
% 3.31/3.54 1667 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1042,c,1004,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1667,c,1608,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1667,c,1609,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1667,c,1610,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1667,c,1611,b)].
% 3.31/3.54 1668 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1043,c,1004,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1668,c,1608,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1668,c,1609,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1668,c,1610,b)].
% 3.31/3.54 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1668,c,1611,b)].
% 3.31/3.54 1669 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1044,c,1004,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1669,c,1608,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1669,c,1609,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1669,c,1610,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1669,c,1611,b)].
% 3.31/3.54 1670 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1045,c,1004,b)].
% 3.31/3.54 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1670,c,1608,b)].
% 3.31/3.54 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1670,c,1609,b)].
% 3.31/3.54 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1670,c,1610,b)].
% 3.31/3.54 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1670,c,1611,b)].
% 3.31/3.54 1671 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1046,c,1004,b)].
% 3.31/3.54 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1671,c,1608,b)].
% 3.31/3.60 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1671,c,1609,b)].
% 3.31/3.60 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1671,c,1610,b)].
% 3.31/3.60 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1671,c,1611,b)].
% 3.31/3.60 1672 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Opordered__ab__group__add(C). [resolve(1047,c,1004,b)].
% 3.31/3.60 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1672,c,1608,b)].
% 3.31/3.60 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1672,c,1609,b)].
% 3.31/3.60 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1672,c,1610,b)].
% 3.31/3.60 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1672,c,1611,b)].
% 3.31/3.60 1673 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_1) # label(axiom). [assumption].
% 3.31/3.60 1674 class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_48) # label(axiom). [assumption].
% 3.31/3.60 1675 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_13) # label(axiom). [assumption].
% 3.31/3.60 1676 -class_OrderedGroup_Olordered__ab__group(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Olordered__ab__group_14) # label(axiom). [assumption].
% 3.31/3.60 1677 -class_OrderedGroup_Olordered__ab__group(A) | class_HOL_Ominus(A) # label(clsrel_OrderedGroup_Olordered__ab__group_2) # label(axiom). [assumption].
% 3.31/3.60 1678 -class_OrderedGroup_Olordered__ab__group(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group_3) # label(axiom). [assumption].
% 3.31/3.60 1679 -class_OrderedGroup_Olordered__ab__group(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Olordered__ab__group_4) # label(axiom). [assumption].
% 3.31/3.60 1680 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_0) # label(axiom). [assumption].
% 3.31/3.60 1681 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_16) # label(axiom). [assumption].
% 3.31/3.60 1682 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_16) # label(axiom). [assumption].
% 3.31/3.60 1683 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Olordered__ring_25) # label(axiom). [assumption].
% 3.31/3.60 1684 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__field_50) # label(axiom). [assumption].
% 3.31/3.60 1685 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__idom_53) # label(axiom). [assumption].
% 3.31/3.60 1686 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_29) # label(axiom). [assumption].
% 3.31/3.60 1687 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(77,b,47,b)].
% 3.31/3.60 1688 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(78,b,47,b)].
% 3.31/3.60 1689 -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,B,A). [resolve(680,b,669,a)].
% 3.31/3.60 1690 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(680,b,670,a)].
% 3.31/3.60 1691 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(680,b,671,a)].
% 3.40/3.62 1692 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(680,b,672,a)].
% 3.40/3.62 1693 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(680,b,673,a)].
% 3.40/3.62 1694 -class_OrderedGroup_Olordered__ab__group(A) | c_lessequals(B,B,A). [resolve(680,b,674,a)].
% 3.40/3.62 1695 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(705,a,680,b)].
% 3.40/3.62 1696 -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(750,b,737,a)].
% 3.40/3.62 1697 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(750,b,738,a)].
% 3.40/3.62 1698 -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(750,b,739,a)].
% 3.40/3.62 1699 -class_OrderedGroup_Olordered__ab__group(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(750,b,740,a)].
% 3.40/3.62 1700 -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(750,b,741,a)].
% 3.40/3.62 1701 -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(750,b,742,a)].
% 3.40/3.62 1702 -class_OrderedGroup_Olordered__ab__group(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(750,b,743,a)].
% 3.40/3.62 1703 -class_OrderedGroup_Olordered__ab__group(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(750,b,744,a)].
% 3.40/3.62 1704 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(903,b,872,b)].
% 3.40/3.62 1705 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(904,c,872,b)].
% 3.40/3.62 1706 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(905,c,872,b)].
% 3.40/3.62 1707 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(906,c,872,b)].
% 3.40/3.62 1708 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(907,c,872,b)].
% 3.40/3.62 1709 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(908,b,872,b)].
% 3.40/3.62 1710 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(909,d,872,b)].
% 3.40/3.62 1711 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(910,c,872,b)].
% 3.40/3.62 1712 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(911,c,872,b)].
% 3.40/3.62 1713 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(912,c,872,b)].
% 3.40/3.62 1714 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(913,c,872,b)].
% 3.40/3.62 1715 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(914,c,872,b)].
% 3.40/3.62 1716 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(915,c,872,b)].
% 3.40/3.62 1717 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(916,c,872,b)].
% 3.40/3.62 1718 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(917,c,872,b)].
% 3.40/3.62 1719 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(979,a,961,b)].
% 3.40/3.65 1720 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(980,a,961,b)].
% 3.40/3.65 1721 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1031,b,999,b)].
% 3.40/3.65 1722 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1032,b,999,b)].
% 3.40/3.65 1723 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1033,b,999,b)].
% 3.40/3.65 1724 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1034,c,999,b)].
% 3.40/3.65 1725 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1035,c,999,b)].
% 3.40/3.65 1726 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1036,c,999,b)].
% 3.40/3.65 1727 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1037,c,999,b)].
% 3.40/3.65 1728 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1038,b,999,b)].
% 3.40/3.65 1729 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1039,d,999,b)].
% 3.40/3.65 1730 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1040,c,999,b)].
% 3.40/3.65 1731 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1041,c,999,b)].
% 3.40/3.65 1732 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1042,c,999,b)].
% 3.40/3.65 1733 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1043,c,999,b)].
% 3.40/3.65 1734 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1044,c,999,b)].
% 3.40/3.65 1735 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1045,c,999,b)].
% 3.40/3.65 1736 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1046,c,999,b)].
% 3.40/3.65 1737 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1047,c,999,b)].
% 3.40/3.65 1738 class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1606,a,1608,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint). [resolve(1738,b,1674,a)].
% 3.40/3.65 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1738,b,1683,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1738,b,1684,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1738,b,1685,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1738,b,1686,b)].
% 3.40/3.65 1739 class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1612,a,1608,b)].
% 3.40/3.65 Derived: class_HOL_Ominus(tc_IntDef_Oint). [resolve(1739,b,1674,a)].
% 3.40/3.65 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1739,b,1683,b)].
% 3.40/3.65 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1739,b,1684,b)].
% 3.40/3.65 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1739,b,1685,b)].
% 3.40/3.65 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1739,b,1686,b)].
% 3.40/3.65 1740 class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1613,a,1608,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(1740,b,1674,a)].
% 3.40/3.65 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1740,b,1683,b)].
% 3.40/3.65 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1740,b,1684,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1740,b,1685,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1740,b,1686,b)].
% 3.40/3.66 1741 class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1614,a,1608,b)].
% 3.40/3.66 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(1741,b,1674,a)].
% 3.40/3.66 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1741,b,1683,b)].
% 3.40/3.66 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1741,b,1684,b)].
% 3.40/3.66 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1741,b,1685,b)].
% 3.40/3.66 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1741,b,1686,b)].
% 3.40/3.66 1742 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1656,b,1608,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(1742,b,1674,a)].
% 3.40/3.66 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1742,b,1683,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1742,b,1684,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1742,b,1685,b)].
% 3.40/3.66 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1742,b,1686,b)].
% 3.40/3.66 1743 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group(A). [resolve(1657,b,1608,b)].
% 3.40/3.66 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(1743,b,1674,a)].
% 3.40/3.66 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1743,b,1683,b)].
% 3.40/3.66 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(1743,b,1684,b)].
% 3.40/3.66 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1743,b,1685,b)].
% 3.40/3.66 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1743,b,1686,b)].
% 3.40/3.66 1744 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1658,b,1608,b)].
% 3.40/3.66 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(1744,b,1674,a)].
% 3.40/3.66 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1744,b,1683,b)].
% 3.40/3.66 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1744,b,1684,b)].
% 3.40/3.66 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1744,b,1685,b)].
% 3.40/3.66 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1744,b,1686,b)].
% 3.40/3.66 1745 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1659,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1745,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1745,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1745,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1745,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1745,c,1686,b)].
% 3.40/3.66 1746 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1660,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1746,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1746,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1746,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1746,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1746,c,1686,b)].
% 3.40/3.66 1747 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1661,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1747,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1747,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1747,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1747,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1747,c,1686,b)].
% 3.40/3.66 1748 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1662,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(1748,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1748,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(1748,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1748,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1748,c,1686,b)].
% 3.40/3.66 1749 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group(B). [resolve(1663,b,1608,b)].
% 3.40/3.66 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(1749,b,1674,a)].
% 3.40/3.66 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1749,b,1683,b)].
% 3.40/3.66 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1749,b,1684,b)].
% 3.40/3.66 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1749,b,1685,b)].
% 3.40/3.66 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1749,b,1686,b)].
% 3.40/3.66 1750 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1664,d,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(1750,d,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1750,d,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1750,d,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1750,d,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1750,d,1686,b)].
% 3.40/3.66 1751 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1665,c,1608,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(1751,c,1674,a)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1751,c,1683,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1751,c,1684,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1751,c,1685,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1751,c,1686,b)].
% 3.40/3.66 1752 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1666,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1752,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1752,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1752,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1752,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1752,c,1686,b)].
% 3.40/3.66 1753 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1667,c,1608,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(1753,c,1674,a)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1753,c,1683,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1753,c,1684,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1753,c,1685,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1753,c,1686,b)].
% 3.40/3.66 1754 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1668,c,1608,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1754,c,1674,a)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1754,c,1683,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1754,c,1684,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1754,c,1685,b)].
% 3.40/3.66 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1754,c,1686,b)].
% 3.40/3.66 1755 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1669,c,1608,b)].
% 3.40/3.66 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(1755,c,1674,a)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1755,c,1683,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1755,c,1684,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1755,c,1685,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1755,c,1686,b)].
% 3.49/3.69 1756 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1670,c,1608,b)].
% 3.49/3.69 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1756,c,1674,a)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1756,c,1683,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1756,c,1684,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1756,c,1685,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1756,c,1686,b)].
% 3.49/3.69 1757 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1671,c,1608,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(1757,c,1674,a)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1757,c,1683,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1757,c,1684,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1757,c,1685,b)].
% 3.49/3.69 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1757,c,1686,b)].
% 3.49/3.69 1758 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group(C). [resolve(1672,c,1608,b)].
% 3.49/3.69 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1758,c,1674,a)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1758,c,1683,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(1758,c,1684,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1758,c,1685,b)].
% 3.49/3.69 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1758,c,1686,b)].
% 3.49/3.69 1759 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_1) # label(axiom). [assumption].
% 3.49/3.69 1760 class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_49) # label(axiom). [assumption].
% 3.49/3.69 1761 -class_Ring__and__Field_Olordered__ring(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Olordered__ring_0) # label(axiom). [assumption].
% 3.49/3.69 1762 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_44) # label(axiom). [assumption].
% 3.49/3.69 1763 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_49) # label(axiom). [assumption].
% 3.49/3.69 1764 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Opordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_32) # label(axiom). [assumption].
% 3.49/3.71 1765 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_10) # label(axiom). [assumption].
% 3.49/3.71 1766 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Opordered__ring_12) # label(axiom). [assumption].
% 3.49/3.71 1767 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Opordered__ring_13) # label(axiom). [assumption].
% 3.49/3.71 1768 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Opordered__ring_14) # label(axiom). [assumption].
% 3.49/3.71 1769 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Opordered__ring_2) # label(axiom). [assumption].
% 3.49/3.71 1770 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Opordered__ring_8) # label(axiom). [assumption].
% 3.49/3.71 1771 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Opordered__ring_9) # label(axiom). [assumption].
% 3.49/3.71 1772 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(34,b,1,a)].
% 3.49/3.71 1773 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Oplus(A). [resolve(34,b,8,a)].
% 3.49/3.71 1774 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(157,a,151,b)].
% 3.49/3.71 1775 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(158,a,151,b)].
% 3.49/3.71 1776 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(226,a,218,b)].
% 3.49/3.71 1777 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(227,a,218,b)].
% 3.49/3.71 1778 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(297,a,286,b)].
% 3.49/3.71 1779 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(298,a,286,b)].
% 3.49/3.71 1780 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(317,a,312,b)].
% 3.49/3.71 1781 class_HOL_Ominus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(318,a,312,b)].
% 3.49/3.71 1782 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(325,b,312,b)].
% 3.49/3.71 1783 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(326,b,312,b)].
% 3.49/3.71 1784 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(327,b,312,b)].
% 3.49/3.71 1785 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(328,b,312,b)].
% 3.49/3.71 1786 -class_Ring__and__Field_Opordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(651,a,571,a)].
% 3.49/3.71 1787 -class_Ring__and__Field_Opordered__ring(A) | class_HOL_Oplus(A). [resolve(651,a,578,a)].
% 3.49/3.71 1788 -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,B,A). [resolve(702,b,669,a)].
% 3.49/3.71 1789 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(702,b,670,a)].
% 3.49/3.71 1790 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(702,b,671,a)].
% 3.49/3.71 1791 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(702,b,672,a)].
% 3.49/3.71 1792 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(702,b,673,a)].
% 3.49/3.71 1793 -class_Ring__and__Field_Opordered__ring(A) | c_lessequals(B,B,A). [resolve(702,b,674,a)].
% 3.49/3.71 1794 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(705,a,702,b)].
% 3.49/3.71 1795 -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(771,b,737,a)].
% 3.49/3.71 1796 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(771,b,738,a)].
% 3.49/3.74 1797 -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(771,b,739,a)].
% 3.49/3.74 1798 -class_Ring__and__Field_Opordered__ring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(771,b,740,a)].
% 3.49/3.74 1799 -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(771,b,741,a)].
% 3.49/3.74 1800 -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(771,b,742,a)].
% 3.49/3.74 1801 -class_Ring__and__Field_Opordered__ring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(771,b,743,a)].
% 3.49/3.74 1802 -class_Ring__and__Field_Opordered__ring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(771,b,744,a)].
% 3.49/3.74 1803 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1031,b,1013,b)].
% 3.49/3.74 1804 class_HOL_Oplus(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1032,b,1013,b)].
% 3.49/3.74 1805 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1033,b,1013,b)].
% 3.49/3.74 1806 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1034,c,1013,b)].
% 3.49/3.74 1807 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1035,c,1013,b)].
% 3.49/3.74 1808 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1036,c,1013,b)].
% 3.49/3.74 1809 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1037,c,1013,b)].
% 3.49/3.74 1810 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1038,b,1013,b)].
% 3.49/3.74 1811 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1039,d,1013,b)].
% 3.49/3.74 1812 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1040,c,1013,b)].
% 3.49/3.74 1813 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1041,c,1013,b)].
% 3.49/3.74 1814 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1042,c,1013,b)].
% 3.49/3.74 1815 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1043,c,1013,b)].
% 3.49/3.74 1816 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1044,c,1013,b)].
% 3.49/3.74 1817 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1045,c,1013,b)].
% 3.49/3.74 1818 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1046,c,1013,b)].
% 3.49/3.74 1819 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1047,c,1013,b)].
% 3.49/3.74 1820 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1144,a,1138,b)].
% 3.49/3.74 1821 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1207,b,1182,b)].
% 3.49/3.74 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1821,b,1761,b)].
% 3.49/3.74 1822 class_HOL_Otimes(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1208,b,1182,b)].
% 3.49/3.74 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1822,b,1761,b)].
% 3.49/3.74 1823 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1209,b,1182,b)].
% 3.49/3.74 1824 class_HOL_Ozero(A) | -class_Ring__and__Field_Opordered__ring(A). [resolve(1210,b,1182,b)].
% 3.49/3.74 1825 -c_less(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1211,b,1182,b)].
% 3.60/3.79 1826 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1212,c,1182,b)].
% 3.60/3.79 1827 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1213,c,1182,b)].
% 3.60/3.79 1828 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1214,c,1182,b)].
% 3.60/3.79 1829 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1215,c,1182,b)].
% 3.60/3.79 1830 c_lessequals(A,A,B) | -class_Ring__and__Field_Opordered__ring(B). [resolve(1216,b,1182,b)].
% 3.60/3.79 1831 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1217,d,1182,b)].
% 3.60/3.79 1832 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1218,c,1182,b)].
% 3.60/3.79 1833 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1219,c,1182,b)].
% 3.60/3.79 1834 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1220,c,1182,b)].
% 3.60/3.79 1835 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1221,c,1182,b)].
% 3.60/3.79 1836 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1222,c,1182,b)].
% 3.60/3.79 1837 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1223,c,1182,b)].
% 3.60/3.79 1838 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1224,c,1182,b)].
% 3.60/3.79 1839 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Opordered__ring(C). [resolve(1225,c,1182,b)].
% 3.60/3.79 1840 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_12) # label(axiom). [assumption].
% 3.60/3.79 1841 class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_50) # label(axiom). [assumption].
% 3.60/3.79 1842 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_13) # label(axiom). [assumption].
% 3.60/3.79 1843 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_2) # label(axiom). [assumption].
% 3.60/3.79 1844 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Ominus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_3) # label(axiom). [assumption].
% 3.60/3.79 1845 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_4) # label(axiom). [assumption].
% 3.60/3.79 1846 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Olordered__ab__group__abs_5) # label(axiom). [assumption].
% 3.60/3.79 1847 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Olordered__ring_24) # label(axiom). [assumption].
% 3.60/3.79 1848 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__field_47) # label(axiom). [assumption].
% 3.60/3.79 1849 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__idom_50) # label(axiom). [assumption].
% 3.60/3.79 1850 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__abs(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_33) # label(axiom). [assumption].
% 3.60/3.79 1851 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(B,c_HOL_Oabs(B,A),A) # label(cls_OrderedGroup_Oabs__ge__self_0) # label(axiom). [assumption].
% 3.60/3.81 Derived: c_lessequals(A,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1851,a,1841,a)].
% 3.60/3.81 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1851,a,1847,b)].
% 3.60/3.81 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1851,a,1848,b)].
% 3.60/3.81 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1851,a,1849,b)].
% 3.60/3.81 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1851,a,1850,b)].
% 3.60/3.81 1852 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(c_0,c_HOL_Oabs(B,A),A) # label(cls_OrderedGroup_Oabs__ge__zero_0) # label(axiom). [assumption].
% 3.60/3.81 Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(1852,a,1841,a)].
% 3.60/3.81 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1852,a,1847,b)].
% 3.60/3.81 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(1852,a,1848,b)].
% 3.60/3.81 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1852,a,1849,b)].
% 3.60/3.81 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1852,a,1850,b)].
% 3.60/3.81 1853 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(48,b,45,a)].
% 3.60/3.81 1854 -class_OrderedGroup_Olordered__ab__group__abs(A) | class_HOL_Oplus(A). [resolve(48,b,46,a)].
% 3.60/3.81 1855 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,B,A). [resolve(681,b,669,a)].
% 3.60/3.81 1856 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(681,b,670,a)].
% 3.60/3.81 1857 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(681,b,671,a)].
% 3.60/3.81 1858 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(681,b,672,a)].
% 3.60/3.81 1859 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(681,b,673,a)].
% 3.60/3.81 1860 -class_OrderedGroup_Olordered__ab__group__abs(A) | c_lessequals(B,B,A). [resolve(681,b,674,a)].
% 3.60/3.81 1861 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(705,a,681,b)].
% 3.60/3.81 1862 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(751,b,737,a)].
% 3.60/3.81 1863 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(751,b,738,a)].
% 3.60/3.81 1864 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(751,b,739,a)].
% 3.60/3.81 1865 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(751,b,740,a)].
% 3.60/3.81 1866 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(751,b,741,a)].
% 3.60/3.81 1867 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(751,b,742,a)].
% 3.60/3.81 1868 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(751,b,743,a)].
% 3.60/3.81 1869 -class_OrderedGroup_Olordered__ab__group__abs(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(751,b,744,a)].
% 3.60/3.81 1870 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(903,b,873,b)].
% 3.60/3.81 1871 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(904,c,873,b)].
% 3.63/3.82 1872 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(905,c,873,b)].
% 3.63/3.82 1873 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(906,c,873,b)].
% 3.63/3.82 1874 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(907,c,873,b)].
% 3.63/3.82 1875 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(908,b,873,b)].
% 3.63/3.82 1876 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(909,d,873,b)].
% 3.63/3.82 1877 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(910,c,873,b)].
% 3.63/3.82 1878 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(911,c,873,b)].
% 3.63/3.82 1879 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(912,c,873,b)].
% 3.63/3.82 1880 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(913,c,873,b)].
% 3.63/3.82 1881 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(914,c,873,b)].
% 3.63/3.82 1882 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(915,c,873,b)].
% 3.63/3.82 1883 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(916,c,873,b)].
% 3.63/3.82 1884 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(917,c,873,b)].
% 3.63/3.82 1885 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(979,a,962,b)].
% 3.63/3.82 1886 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(980,a,962,b)].
% 3.63/3.82 1887 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1031,b,1000,b)].
% 3.63/3.82 1888 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1032,b,1000,b)].
% 3.63/3.82 1889 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1033,b,1000,b)].
% 3.63/3.82 1890 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1034,c,1000,b)].
% 3.63/3.82 1891 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1035,c,1000,b)].
% 3.63/3.82 1892 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1036,c,1000,b)].
% 3.63/3.82 1893 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1037,c,1000,b)].
% 3.63/3.82 1894 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1038,b,1000,b)].
% 3.63/3.82 1895 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1039,d,1000,b)].
% 3.63/3.82 1896 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1040,c,1000,b)].
% 3.63/3.82 1897 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1041,c,1000,b)].
% 3.63/3.82 1898 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1042,c,1000,b)].
% 3.63/3.82 1899 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1043,c,1000,b)].
% 3.63/3.82 1900 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1044,c,1000,b)].
% 3.63/3.88 1901 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1045,c,1000,b)].
% 3.63/3.88 1902 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1046,c,1000,b)].
% 3.63/3.88 1903 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1047,c,1000,b)].
% 3.63/3.88 1904 class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1606,a,1609,b)].
% 3.63/3.88 1905 class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1612,a,1609,b)].
% 3.63/3.88 1906 class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1613,a,1609,b)].
% 3.63/3.88 1907 class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1614,a,1609,b)].
% 3.63/3.88 1908 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1656,b,1609,b)].
% 3.63/3.88 1909 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__abs(A). [resolve(1657,b,1609,b)].
% 3.63/3.88 1910 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1658,b,1609,b)].
% 3.63/3.88 1911 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1659,c,1609,b)].
% 3.63/3.88 1912 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1660,c,1609,b)].
% 3.63/3.88 1913 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1661,c,1609,b)].
% 3.63/3.88 1914 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1662,c,1609,b)].
% 3.63/3.88 1915 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__abs(B). [resolve(1663,b,1609,b)].
% 3.63/3.88 1916 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1664,d,1609,b)].
% 3.63/3.88 1917 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1665,c,1609,b)].
% 3.63/3.88 1918 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1666,c,1609,b)].
% 3.63/3.88 1919 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1667,c,1609,b)].
% 3.63/3.88 1920 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1668,c,1609,b)].
% 3.63/3.88 1921 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1669,c,1609,b)].
% 3.63/3.88 1922 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1670,c,1609,b)].
% 3.63/3.88 1923 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1671,c,1609,b)].
% 3.63/3.88 1924 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__abs(C). [resolve(1672,c,1609,b)].
% 3.63/3.88 1925 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_1) # label(axiom). [assumption].
% 3.63/3.88 1926 class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_51) # label(axiom). [assumption].
% 3.63/3.88 1927 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_13) # label(axiom). [assumption].
% 3.63/3.88 1928 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_14) # label(axiom). [assumption].
% 3.63/3.90 1929 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_HOL_Ominus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_2) # label(axiom). [assumption].
% 3.63/3.90 1930 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_3) # label(axiom). [assumption].
% 3.63/3.90 1931 -class_OrderedGroup_Olordered__ab__group__meet(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Olordered__ab__group__meet_4) # label(axiom). [assumption].
% 3.63/3.90 1932 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Olordered__ring_29) # label(axiom). [assumption].
% 3.63/3.90 1933 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__field_48) # label(axiom). [assumption].
% 3.63/3.90 1934 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__idom_51) # label(axiom). [assumption].
% 3.63/3.90 1935 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__meet(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_34) # label(axiom). [assumption].
% 3.63/3.90 1936 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(77,b,50,b)].
% 3.63/3.90 1937 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(78,b,50,b)].
% 3.63/3.90 1938 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,B,A). [resolve(683,b,669,a)].
% 3.63/3.90 1939 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(683,b,670,a)].
% 3.63/3.90 1940 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(683,b,671,a)].
% 3.63/3.90 1941 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(683,b,672,a)].
% 3.63/3.90 1942 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(683,b,673,a)].
% 3.63/3.90 1943 -class_OrderedGroup_Olordered__ab__group__meet(A) | c_lessequals(B,B,A). [resolve(683,b,674,a)].
% 3.63/3.90 1944 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(705,a,683,b)].
% 3.63/3.90 1945 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(753,b,737,a)].
% 3.63/3.90 1946 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(753,b,738,a)].
% 3.63/3.90 1947 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(753,b,739,a)].
% 3.63/3.90 1948 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(753,b,740,a)].
% 3.63/3.90 1949 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(753,b,741,a)].
% 3.63/3.90 1950 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(753,b,742,a)].
% 3.63/3.90 1951 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(753,b,743,a)].
% 3.63/3.90 1952 -class_OrderedGroup_Olordered__ab__group__meet(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(753,b,744,a)].
% 3.63/3.90 1953 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(903,b,875,b)].
% 3.63/3.90 1954 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(904,c,875,b)].
% 3.63/3.90 1955 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(905,c,875,b)].
% 3.71/3.91 1956 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(906,c,875,b)].
% 3.71/3.91 1957 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(907,c,875,b)].
% 3.71/3.91 1958 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(908,b,875,b)].
% 3.71/3.91 1959 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(909,d,875,b)].
% 3.71/3.91 1960 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(910,c,875,b)].
% 3.71/3.91 1961 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(911,c,875,b)].
% 3.71/3.91 1962 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(912,c,875,b)].
% 3.71/3.91 1963 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(913,c,875,b)].
% 3.71/3.91 1964 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(914,c,875,b)].
% 3.71/3.91 1965 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(915,c,875,b)].
% 3.71/3.91 1966 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(916,c,875,b)].
% 3.71/3.91 1967 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(917,c,875,b)].
% 3.71/3.91 1968 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(979,a,964,b)].
% 3.71/3.91 1969 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(980,a,964,b)].
% 3.71/3.91 1970 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1031,b,1002,b)].
% 3.71/3.91 1971 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1032,b,1002,b)].
% 3.71/3.91 1972 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1033,b,1002,b)].
% 3.71/3.91 1973 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1034,c,1002,b)].
% 3.71/3.91 1974 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1035,c,1002,b)].
% 3.71/3.91 1975 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1036,c,1002,b)].
% 3.71/3.91 1976 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1037,c,1002,b)].
% 3.71/3.91 1977 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1038,b,1002,b)].
% 3.71/3.91 1978 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1039,d,1002,b)].
% 3.71/3.91 1979 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1040,c,1002,b)].
% 3.71/3.91 1980 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1041,c,1002,b)].
% 3.71/3.91 1981 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1042,c,1002,b)].
% 3.71/3.91 1982 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1043,c,1002,b)].
% 3.71/3.91 1983 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1044,c,1002,b)].
% 3.71/3.96 1984 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1045,c,1002,b)].
% 3.71/3.96 1985 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1046,c,1002,b)].
% 3.71/3.96 1986 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1047,c,1002,b)].
% 3.71/3.96 1987 class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1606,a,1611,b)].
% 3.71/3.96 1988 class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1612,a,1611,b)].
% 3.71/3.96 1989 class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1613,a,1611,b)].
% 3.71/3.96 1990 class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1614,a,1611,b)].
% 3.71/3.96 1991 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1656,b,1611,b)].
% 3.71/3.96 1992 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__meet(A). [resolve(1657,b,1611,b)].
% 3.71/3.96 1993 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1658,b,1611,b)].
% 3.71/3.96 1994 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1659,c,1611,b)].
% 3.71/3.96 1995 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1660,c,1611,b)].
% 3.71/3.96 1996 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1661,c,1611,b)].
% 3.71/3.96 1997 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1662,c,1611,b)].
% 3.71/3.96 1998 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__meet(B). [resolve(1663,b,1611,b)].
% 3.71/3.96 1999 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1664,d,1611,b)].
% 3.71/3.96 2000 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1665,c,1611,b)].
% 3.71/3.96 2001 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1666,c,1611,b)].
% 3.71/3.96 2002 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1667,c,1611,b)].
% 3.71/3.96 2003 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1668,c,1611,b)].
% 3.71/3.96 2004 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1669,c,1611,b)].
% 3.71/3.96 2005 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1670,c,1611,b)].
% 3.71/3.96 2006 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1671,c,1611,b)].
% 3.71/3.96 2007 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__meet(C). [resolve(1672,c,1611,b)].
% 3.71/3.96 2008 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_1) # label(axiom). [assumption].
% 3.71/3.96 2009 class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_52) # label(axiom). [assumption].
% 3.71/3.96 2010 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_13) # label(axiom). [assumption].
% 3.71/3.96 2011 -class_OrderedGroup_Olordered__ab__group__join(A) | class_HOL_Oplus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_14) # label(axiom). [assumption].
% 3.71/3.96 2012 -class_OrderedGroup_Olordered__ab__group__join(A) | class_HOL_Ominus(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_2) # label(axiom). [assumption].
% 3.71/3.97 2013 -class_OrderedGroup_Olordered__ab__group__join(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_3) # label(axiom). [assumption].
% 3.71/3.97 2014 -class_OrderedGroup_Olordered__ab__group__join(A) | class_HOL_Ozero(A) # label(clsrel_OrderedGroup_Olordered__ab__group__join_4) # label(axiom). [assumption].
% 3.71/3.97 2015 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Olordered__ring_30) # label(axiom). [assumption].
% 3.71/3.97 2016 -class_Ring__and__Field_Oordered__field(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__field_49) # label(axiom). [assumption].
% 3.71/3.97 2017 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__idom_52) # label(axiom). [assumption].
% 3.71/3.97 2018 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Olordered__ab__group__join(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_35) # label(axiom). [assumption].
% 3.71/3.97 2019 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(77,b,49,b)].
% 3.71/3.97 2020 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(78,b,49,b)].
% 3.71/3.97 2021 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,B,A). [resolve(682,b,669,a)].
% 3.71/3.97 2022 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(682,b,670,a)].
% 3.71/3.97 2023 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(682,b,671,a)].
% 3.71/3.97 2024 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(682,b,672,a)].
% 3.71/3.97 2025 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(682,b,673,a)].
% 3.71/3.97 2026 -class_OrderedGroup_Olordered__ab__group__join(A) | c_lessequals(B,B,A). [resolve(682,b,674,a)].
% 3.71/3.97 2027 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(705,a,682,b)].
% 3.71/3.97 2028 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(752,b,737,a)].
% 3.71/3.97 2029 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(752,b,738,a)].
% 3.71/3.97 2030 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(752,b,739,a)].
% 3.71/3.97 2031 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(752,b,740,a)].
% 3.71/3.97 2032 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(752,b,741,a)].
% 3.71/3.97 2033 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(752,b,742,a)].
% 3.71/3.97 2034 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(752,b,743,a)].
% 3.71/3.97 2035 -class_OrderedGroup_Olordered__ab__group__join(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(752,b,744,a)].
% 3.71/3.97 2036 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(903,b,874,b)].
% 3.71/3.97 2037 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(904,c,874,b)].
% 3.71/3.97 2038 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(905,c,874,b)].
% 3.79/3.98 2039 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(906,c,874,b)].
% 3.79/3.98 2040 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(907,c,874,b)].
% 3.79/3.98 2041 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(908,b,874,b)].
% 3.79/3.98 2042 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(909,d,874,b)].
% 3.79/3.98 2043 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(910,c,874,b)].
% 3.79/3.98 2044 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(911,c,874,b)].
% 3.79/3.98 2045 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(912,c,874,b)].
% 3.79/3.98 2046 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(913,c,874,b)].
% 3.79/3.98 2047 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(914,c,874,b)].
% 3.79/3.98 2048 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(915,c,874,b)].
% 3.79/3.98 2049 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(916,c,874,b)].
% 3.79/3.98 2050 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(917,c,874,b)].
% 3.79/3.98 2051 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(979,a,963,b)].
% 3.79/3.98 2052 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(980,a,963,b)].
% 3.79/3.98 2053 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1031,b,1001,b)].
% 3.79/3.98 2054 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1032,b,1001,b)].
% 3.79/3.98 2055 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1033,b,1001,b)].
% 3.79/3.98 2056 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1034,c,1001,b)].
% 3.79/3.98 2057 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1035,c,1001,b)].
% 3.79/3.98 2058 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1036,c,1001,b)].
% 3.79/3.98 2059 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1037,c,1001,b)].
% 3.79/3.98 2060 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1038,b,1001,b)].
% 3.79/3.98 2061 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1039,d,1001,b)].
% 3.79/3.98 2062 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1040,c,1001,b)].
% 3.79/3.98 2063 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1041,c,1001,b)].
% 3.79/3.98 2064 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1042,c,1001,b)].
% 3.79/3.98 2065 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1043,c,1001,b)].
% 3.79/3.98 2066 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1044,c,1001,b)].
% 3.79/3.98 2067 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1045,c,1001,b)].
% 3.79/4.03 2068 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1046,c,1001,b)].
% 3.79/4.03 2069 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1047,c,1001,b)].
% 3.79/4.03 2070 class_OrderedGroup_Oab__group__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1606,a,1610,b)].
% 3.79/4.03 2071 class_HOL_Ominus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1612,a,1610,b)].
% 3.79/4.03 2072 class_OrderedGroup_Ocomm__monoid__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1613,a,1610,b)].
% 3.79/4.03 2073 class_HOL_Ozero(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1614,a,1610,b)].
% 3.79/4.03 2074 class_OrderedGroup_Osemigroup__add(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1656,b,1610,b)].
% 3.79/4.03 2075 class_HOL_Oplus(A) | -class_OrderedGroup_Olordered__ab__group__join(A). [resolve(1657,b,1610,b)].
% 3.79/4.03 2076 -c_less(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1658,b,1610,b)].
% 3.79/4.03 2077 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1659,c,1610,b)].
% 3.79/4.03 2078 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1660,c,1610,b)].
% 3.79/4.03 2079 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1661,c,1610,b)].
% 3.79/4.03 2080 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1662,c,1610,b)].
% 3.79/4.03 2081 c_lessequals(A,A,B) | -class_OrderedGroup_Olordered__ab__group__join(B). [resolve(1663,b,1610,b)].
% 3.79/4.03 2082 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1664,d,1610,b)].
% 3.79/4.03 2083 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1665,c,1610,b)].
% 3.79/4.03 2084 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1666,c,1610,b)].
% 3.79/4.03 2085 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1667,c,1610,b)].
% 3.79/4.03 2086 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1668,c,1610,b)].
% 3.79/4.03 2087 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1669,c,1610,b)].
% 3.79/4.03 2088 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1670,c,1610,b)].
% 3.79/4.03 2089 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1671,c,1610,b)].
% 3.79/4.03 2090 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_OrderedGroup_Olordered__ab__group__join(C). [resolve(1672,c,1610,b)].
% 3.79/4.03 2091 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Olordered__ring_15) # label(axiom). [assumption].
% 3.79/4.03 2092 class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_53) # label(axiom). [assumption].
% 3.79/4.03 2093 -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Olordered__ring_16) # label(axiom). [assumption].
% 3.79/4.03 2094 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_17) # label(axiom). [assumption].
% 3.79/4.03 2095 -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Olordered__ring_18) # label(axiom). [assumption].
% 3.79/4.04 2096 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_22) # label(axiom). [assumption].
% 3.79/4.04 2097 -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Olordered__ring_23) # label(axiom). [assumption].
% 3.79/4.04 2098 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Olordered__ring_3) # label(axiom). [assumption].
% 3.79/4.04 2099 -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Olordered__ring_4) # label(axiom). [assumption].
% 3.79/4.04 2100 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__field_43) # label(axiom). [assumption].
% 3.79/4.04 2101 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__idom_48) # label(axiom). [assumption].
% 3.79/4.04 2102 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Olordered__ring(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_31) # label(axiom). [assumption].
% 3.79/4.04 2103 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(77,b,62,b)].
% 3.79/4.04 2104 class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(78,b,62,b)].
% 3.79/4.04 2105 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(157,a,140,b)].
% 3.79/4.04 2106 class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(158,a,140,b)].
% 3.79/4.04 2107 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(226,a,207,b)].
% 3.79/4.04 2108 class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(227,a,207,b)].
% 3.79/4.04 2109 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(317,a,307,b)].
% 3.79/4.04 2110 class_HOL_Ominus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(318,a,307,b)].
% 3.79/4.04 2111 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(323,b,307,b)].
% 3.79/4.04 2112 class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(324,b,307,b)].
% 3.79/4.04 2113 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(325,b,307,b)].
% 3.79/4.04 2114 class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(326,b,307,b)].
% 3.79/4.04 2115 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(327,b,307,b)].
% 3.79/4.04 2116 class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(328,b,307,b)].
% 3.79/4.04 2117 -class_Ring__and__Field_Olordered__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(646,a,571,a)].
% 3.79/4.04 2118 -class_Ring__and__Field_Olordered__ring(A) | class_HOL_Oplus(A). [resolve(646,a,578,a)].
% 3.79/4.04 2119 -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,B,A). [resolve(691,b,669,a)].
% 3.79/4.04 2120 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(691,b,670,a)].
% 3.79/4.04 2121 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(691,b,671,a)].
% 3.79/4.04 2122 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(691,b,672,a)].
% 3.79/4.04 2123 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(691,b,673,a)].
% 3.79/4.04 2124 -class_Ring__and__Field_Olordered__ring(A) | c_lessequals(B,B,A). [resolve(691,b,674,a)].
% 3.79/4.04 2125 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(705,a,691,b)].
% 3.79/4.04 2126 -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(760,b,737,a)].
% 3.79/4.04 2127 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(760,b,738,a)].
% 3.79/4.05 2128 -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(760,b,739,a)].
% 3.79/4.05 2129 -class_Ring__and__Field_Olordered__ring(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(760,b,740,a)].
% 3.79/4.05 2130 -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(760,b,741,a)].
% 3.79/4.05 2131 -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(760,b,742,a)].
% 3.79/4.05 2132 -class_Ring__and__Field_Olordered__ring(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(760,b,743,a)].
% 3.79/4.05 2133 -class_Ring__and__Field_Olordered__ring(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(760,b,744,a)].
% 3.79/4.05 2134 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(903,b,877,b)].
% 3.79/4.05 2135 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(904,c,877,b)].
% 3.79/4.05 2136 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(905,c,877,b)].
% 3.79/4.05 2137 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(906,c,877,b)].
% 3.79/4.05 2138 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(907,c,877,b)].
% 3.79/4.05 2139 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(908,b,877,b)].
% 3.79/4.05 2140 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(909,d,877,b)].
% 3.79/4.05 2141 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(910,c,877,b)].
% 3.79/4.05 2142 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(911,c,877,b)].
% 3.79/4.05 2143 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(912,c,877,b)].
% 3.79/4.05 2144 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(913,c,877,b)].
% 3.79/4.05 2145 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(914,c,877,b)].
% 3.79/4.05 2146 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(915,c,877,b)].
% 3.79/4.05 2147 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(916,c,877,b)].
% 3.79/4.05 2148 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(917,c,877,b)].
% 3.79/4.05 2149 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1031,b,1006,b)].
% 3.79/4.05 2150 class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1032,b,1006,b)].
% 3.79/4.05 2151 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1033,b,1006,b)].
% 3.79/4.05 2152 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1034,c,1006,b)].
% 3.79/4.05 2153 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1035,c,1006,b)].
% 3.79/4.05 2154 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1036,c,1006,b)].
% 3.79/4.05 2155 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1037,c,1006,b)].
% 3.79/4.05 2156 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1038,b,1006,b)].
% 3.79/4.07 2157 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1039,d,1006,b)].
% 3.79/4.07 2158 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1040,c,1006,b)].
% 3.79/4.07 2159 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1041,c,1006,b)].
% 3.79/4.07 2160 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1042,c,1006,b)].
% 3.79/4.07 2161 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1043,c,1006,b)].
% 3.79/4.07 2162 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1044,c,1006,b)].
% 3.79/4.07 2163 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1045,c,1006,b)].
% 3.79/4.07 2164 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1046,c,1006,b)].
% 3.79/4.07 2165 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1047,c,1006,b)].
% 3.79/4.07 2166 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1144,a,1127,b)].
% 3.79/4.07 2167 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1206,d,1169,b)].
% 3.79/4.07 2168 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1207,b,1169,b)].
% 3.79/4.07 2169 class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1208,b,1169,b)].
% 3.79/4.07 2170 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1209,b,1169,b)].
% 3.79/4.07 2171 class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1210,b,1169,b)].
% 3.79/4.07 2172 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1211,b,1169,b)].
% 3.79/4.07 2173 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1212,c,1169,b)].
% 3.79/4.07 2174 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1213,c,1169,b)].
% 3.79/4.07 2175 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1214,c,1169,b)].
% 3.79/4.07 2176 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1215,c,1169,b)].
% 3.79/4.07 2177 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1216,b,1169,b)].
% 3.79/4.07 2178 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1217,d,1169,b)].
% 3.79/4.07 2179 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1218,c,1169,b)].
% 3.79/4.07 2180 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1219,c,1169,b)].
% 3.79/4.07 2181 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1220,c,1169,b)].
% 3.79/4.07 2182 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1221,c,1169,b)].
% 3.79/4.07 2183 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1222,c,1169,b)].
% 3.79/4.07 2184 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1223,c,1169,b)].
% 3.79/4.07 2185 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1224,c,1169,b)].
% 3.79/4.08 2186 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1225,c,1169,b)].
% 3.79/4.08 2187 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1738,b,1683,b)].
% 3.79/4.08 Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint). [resolve(2187,b,2092,a)].
% 3.79/4.08 2188 class_HOL_Ominus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1739,b,1683,b)].
% 3.79/4.08 Derived: class_HOL_Ominus(tc_IntDef_Oint). [resolve(2188,b,2092,a)].
% 3.79/4.08 2189 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1740,b,1683,b)].
% 3.79/4.08 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(2189,b,2092,a)].
% 3.79/4.08 2190 class_HOL_Ozero(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1741,b,1683,b)].
% 3.79/4.08 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(2190,b,2092,a)].
% 3.79/4.08 2191 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1742,b,1683,b)].
% 3.79/4.08 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(2191,b,2092,a)].
% 3.79/4.08 2192 class_HOL_Oplus(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1743,b,1683,b)].
% 3.79/4.08 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(2192,b,2092,a)].
% 3.79/4.08 2193 -c_less(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1744,b,1683,b)].
% 3.79/4.08 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(2193,b,2092,a)].
% 3.79/4.08 2194 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1745,c,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(2194,c,2092,a)].
% 3.79/4.08 2195 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1746,c,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2195,c,2092,a)].
% 3.79/4.08 2196 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1747,c,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(2196,c,2092,a)].
% 3.79/4.08 2197 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1748,c,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2197,c,2092,a)].
% 3.79/4.08 2198 c_lessequals(A,A,B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1749,b,1683,b)].
% 3.79/4.08 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(2198,b,2092,a)].
% 3.79/4.08 2199 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1750,d,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(2199,d,2092,a)].
% 3.79/4.08 2200 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1751,c,1683,b)].
% 3.79/4.08 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(2200,c,2092,a)].
% 3.79/4.08 2201 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1752,c,1683,b)].
% 3.79/4.08 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2201,c,2092,a)].
% 3.79/4.08 2202 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1753,c,1683,b)].
% 3.79/4.08 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(2202,c,2092,a)].
% 3.89/4.10 2203 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1754,c,1683,b)].
% 3.89/4.10 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2203,c,2092,a)].
% 3.89/4.10 2204 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1755,c,1683,b)].
% 3.89/4.10 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(2204,c,2092,a)].
% 3.89/4.10 2205 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1756,c,1683,b)].
% 3.89/4.10 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2205,c,2092,a)].
% 3.89/4.10 2206 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1757,c,1683,b)].
% 3.89/4.10 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(2206,c,2092,a)].
% 3.89/4.10 2207 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Olordered__ring(C). [resolve(1758,c,1683,b)].
% 3.89/4.10 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2207,c,2092,a)].
% 3.89/4.10 2208 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1821,b,1761,b)].
% 3.89/4.10 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(2208,b,2092,a)].
% 3.89/4.10 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2208,b,2100,b)].
% 3.89/4.10 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2208,b,2101,b)].
% 3.89/4.10 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(2208,b,2102,b)].
% 3.89/4.10 2209 class_HOL_Otimes(A) | -class_Ring__and__Field_Olordered__ring(A). [resolve(1822,b,1761,b)].
% 3.89/4.10 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(2209,b,2092,a)].
% 3.89/4.10 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2209,b,2100,b)].
% 3.89/4.10 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2209,b,2101,b)].
% 3.89/4.10 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(2209,b,2102,b)].
% 3.89/4.10 2210 c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1851,a,1847,b)].
% 3.89/4.10 Derived: c_lessequals(A,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2210,b,2092,a)].
% 3.89/4.10 2211 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Olordered__ring(B). [resolve(1852,a,1847,b)].
% 3.89/4.10 Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2211,b,2092,a)].
% 3.89/4.10 2212 -class_Ring__and__Field_Oaxclass__no__zero__divisors(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_0) # label(axiom). [assumption].
% 3.89/4.10 2213 class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_54) # label(axiom). [assumption].
% 3.89/4.10 2214 -class_Ring__and__Field_Oaxclass__no__zero__divisors(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oaxclass__no__zero__divisors_1) # label(axiom). [assumption].
% 3.89/4.10 2215 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oaxclass__no__zero__divisors(A) # label(clsrel_Ring__and__Field_Ofield_32) # label(axiom). [assumption].
% 3.89/4.10 2216 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Oaxclass__no__zero__divisors(A) # label(clsrel_Ring__and__Field_Oidom_30) # label(axiom). [assumption].
% 3.89/4.10 2217 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oaxclass__no__zero__divisors(A) # label(clsrel_Ring__and__Field_Oordered__field_31) # label(axiom). [assumption].
% 3.89/4.10 2218 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oaxclass__no__zero__divisors(A) # label(clsrel_Ring__and__Field_Oordered__idom_56) # label(axiom). [assumption].
% 3.94/4.17 2219 -class_Ring__and__Field_Oordered__ring__strict(A) | class_Ring__and__Field_Oaxclass__no__zero__divisors(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_36) # label(axiom). [assumption].
% 3.94/4.17 2220 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_1) # label(axiom). [assumption].
% 3.94/4.17 2221 class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_55) # label(axiom). [assumption].
% 3.94/4.17 2222 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__ring__strict(A) # label(clsrel_Ring__and__Field_Oordered__field_38) # label(axiom). [assumption].
% 3.94/4.17 2223 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__ring__strict(A) # label(clsrel_Ring__and__Field_Oordered__idom_47) # label(axiom). [assumption].
% 3.94/4.17 2224 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_10) # label(axiom). [assumption].
% 3.94/4.17 2225 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_12) # label(axiom). [assumption].
% 3.94/4.17 2226 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_13) # label(axiom). [assumption].
% 3.94/4.17 2227 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_14) # label(axiom). [assumption].
% 3.94/4.17 2228 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_2) # label(axiom). [assumption].
% 3.94/4.17 2229 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_8) # label(axiom). [assumption].
% 3.94/4.17 2230 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oordered__ring__strict_9) # label(axiom). [assumption].
% 3.94/4.17 2231 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(28,b,1,a)].
% 3.94/4.17 2232 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Oplus(A). [resolve(28,b,8,a)].
% 3.94/4.17 2233 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(157,a,144,b)].
% 3.94/4.17 2234 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(158,a,144,b)].
% 3.94/4.17 2235 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(226,a,211,b)].
% 3.94/4.17 2236 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(227,a,211,b)].
% 3.94/4.17 2237 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(297,a,280,b)].
% 3.94/4.17 2238 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(298,a,280,b)].
% 3.94/4.17 2239 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(317,a,310,b)].
% 3.94/4.17 2240 class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(318,a,310,b)].
% 3.94/4.17 2241 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(325,b,310,b)].
% 3.94/4.17 2242 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(326,b,310,b)].
% 3.94/4.17 2243 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(327,b,310,b)].
% 3.94/4.17 2244 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(328,b,310,b)].
% 3.94/4.17 2245 -class_Ring__and__Field_Oordered__ring__strict(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(649,a,571,a)].
% 3.94/4.17 2246 -class_Ring__and__Field_Oordered__ring__strict(A) | class_HOL_Oplus(A). [resolve(649,a,578,a)].
% 3.94/4.17 2247 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,B,A). [resolve(695,b,669,a)].
% 3.94/4.17 2248 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(695,b,670,a)].
% 3.94/4.18 2249 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(695,b,671,a)].
% 3.94/4.18 2250 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(695,b,672,a)].
% 3.94/4.18 2251 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(695,b,673,a)].
% 3.94/4.18 2252 -class_Ring__and__Field_Oordered__ring__strict(A) | c_lessequals(B,B,A). [resolve(695,b,674,a)].
% 3.94/4.18 2253 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(705,a,695,b)].
% 3.94/4.18 2254 -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(724,b,707,a)].
% 3.94/4.18 2255 -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(724,b,708,a)].
% 3.94/4.18 2256 -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(724,b,709,a)].
% 3.94/4.18 2257 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(724,b,710,a)].
% 3.94/4.18 2258 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(724,b,711,a)].
% 3.94/4.18 2259 -class_Ring__and__Field_Oordered__ring__strict(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(724,b,712,a)].
% 3.94/4.18 2260 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(724,b,713,a)].
% 3.94/4.18 2261 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(724,b,714,a)].
% 3.94/4.18 2262 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(764,b,737,a)].
% 3.94/4.18 2263 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(764,b,738,a)].
% 3.94/4.18 2264 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(764,b,739,a)].
% 3.94/4.18 2265 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(764,b,740,a)].
% 3.94/4.18 2266 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(764,b,741,a)].
% 3.94/4.18 2267 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(764,b,742,a)].
% 3.94/4.18 2268 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(764,b,743,a)].
% 3.94/4.18 2269 -class_Ring__and__Field_Oordered__ring__strict(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(764,b,744,a)].
% 3.94/4.18 2270 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(903,b,881,b)].
% 3.94/4.18 2271 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(904,c,881,b)].
% 3.94/4.18 2272 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(905,c,881,b)].
% 3.94/4.18 2273 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(906,c,881,b)].
% 3.94/4.18 2274 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(907,c,881,b)].
% 3.94/4.19 2275 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(908,b,881,b)].
% 3.94/4.19 2276 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(909,d,881,b)].
% 3.94/4.19 2277 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(910,c,881,b)].
% 3.94/4.19 2278 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(911,c,881,b)].
% 3.94/4.19 2279 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(912,c,881,b)].
% 3.94/4.19 2280 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(913,c,881,b)].
% 3.94/4.19 2281 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(914,c,881,b)].
% 3.94/4.19 2282 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(915,c,881,b)].
% 3.94/4.19 2283 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(916,c,881,b)].
% 3.94/4.19 2284 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(917,c,881,b)].
% 3.94/4.19 2285 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1031,b,1010,b)].
% 3.94/4.19 2286 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1032,b,1010,b)].
% 3.94/4.19 2287 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1033,b,1010,b)].
% 3.94/4.19 2288 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1034,c,1010,b)].
% 3.94/4.19 2289 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1035,c,1010,b)].
% 3.94/4.19 2290 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1036,c,1010,b)].
% 3.94/4.19 2291 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1037,c,1010,b)].
% 3.94/4.19 2292 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1038,b,1010,b)].
% 3.94/4.19 2293 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1039,d,1010,b)].
% 3.94/4.19 2294 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1040,c,1010,b)].
% 3.94/4.19 2295 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1041,c,1010,b)].
% 3.94/4.19 2296 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1042,c,1010,b)].
% 3.94/4.19 2297 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1043,c,1010,b)].
% 3.94/4.19 2298 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1044,c,1010,b)].
% 3.94/4.19 2299 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1045,c,1010,b)].
% 3.94/4.19 2300 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1046,c,1010,b)].
% 3.94/4.19 2301 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1047,c,1010,b)].
% 3.94/4.19 2302 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1144,a,1131,b)].
% 3.94/4.20 2303 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1206,d,1173,b)].
% 3.94/4.20 2304 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1207,b,1173,b)].
% 3.94/4.20 2305 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1208,b,1173,b)].
% 3.94/4.20 2306 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1209,b,1173,b)].
% 3.94/4.20 2307 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1210,b,1173,b)].
% 3.94/4.20 2308 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1211,b,1173,b)].
% 3.94/4.20 2309 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1212,c,1173,b)].
% 3.94/4.20 2310 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1213,c,1173,b)].
% 3.94/4.20 2311 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1214,c,1173,b)].
% 3.94/4.20 2312 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1215,c,1173,b)].
% 3.94/4.20 2313 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1216,b,1173,b)].
% 3.94/4.20 2314 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1217,d,1173,b)].
% 3.94/4.20 2315 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1218,c,1173,b)].
% 3.94/4.20 2316 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1219,c,1173,b)].
% 3.94/4.20 2317 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1220,c,1173,b)].
% 3.94/4.20 2318 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1221,c,1173,b)].
% 3.94/4.20 2319 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1222,c,1173,b)].
% 3.94/4.20 2320 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1223,c,1173,b)].
% 3.94/4.20 2321 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1224,c,1173,b)].
% 3.94/4.20 2322 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1225,c,1173,b)].
% 3.94/4.20 2323 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1254,a,1232,b)].
% 3.94/4.20 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2323,c,2222,b)].
% 3.94/4.20 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2323,c,2223,b)].
% 3.94/4.20 2324 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1255,a,1232,b)].
% 3.94/4.20 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2324,c,2222,b)].
% 3.94/4.20 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2324,c,2223,b)].
% 3.94/4.20 2325 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1256,a,1232,b)].
% 3.94/4.20 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2325,c,2222,b)].
% 3.94/4.20 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2325,c,2223,b)].
% 3.94/4.20 2326 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1257,a,1232,b)].
% 3.94/4.20 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2326,c,2222,b)].
% 3.94/4.20 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2326,c,2223,b)].
% 3.94/4.20 2327 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1258,a,1232,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2327,c,2222,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2327,c,2223,b)].
% 3.94/4.20 2328 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1259,a,1232,b)].
% 3.94/4.20 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2328,c,2222,b)].
% 3.94/4.20 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2328,c,2223,b)].
% 3.94/4.20 2329 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1260,a,1232,b)].
% 3.94/4.20 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2329,c,2222,b)].
% 3.94/4.20 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2329,c,2223,b)].
% 3.94/4.20 2330 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1261,a,1232,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2330,c,2222,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2330,c,2223,b)].
% 3.94/4.20 2331 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1285,b,1232,b)].
% 3.94/4.20 2332 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1286,b,1232,b)].
% 3.94/4.20 2333 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1307,d,1232,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2333,d,2222,b)].
% 3.94/4.20 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2333,d,2223,b)].
% 3.94/4.20 2334 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1308,b,1232,b)].
% 3.94/4.20 2335 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1309,b,1232,b)].
% 3.94/4.20 2336 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1310,b,1232,b)].
% 3.94/4.21 2337 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1311,b,1232,b)].
% 3.94/4.21 2338 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1312,b,1232,b)].
% 3.94/4.21 2339 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1313,c,1232,b)].
% 3.94/4.21 2340 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1314,c,1232,b)].
% 3.94/4.21 2341 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1315,c,1232,b)].
% 3.94/4.21 2342 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1316,c,1232,b)].
% 3.94/4.21 2343 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1317,b,1232,b)].
% 3.94/4.21 2344 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1318,d,1232,b)].
% 3.94/4.21 2345 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1319,c,1232,b)].
% 3.94/4.21 2346 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1320,c,1232,b)].
% 3.94/4.21 2347 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1321,c,1232,b)].
% 3.94/4.21 2348 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1322,c,1232,b)].
% 3.94/4.21 2349 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1323,c,1232,b)].
% 3.94/4.21 2350 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1324,c,1232,b)].
% 3.94/4.21 2351 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1325,c,1232,b)].
% 3.94/4.21 2352 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1326,c,1232,b)].
% 3.94/4.21 2353 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1738,b,1686,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2353,b,2222,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2353,b,2223,b)].
% 3.94/4.21 2354 class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1739,b,1686,b)].
% 3.94/4.21 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2354,b,2222,b)].
% 3.94/4.21 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2354,b,2223,b)].
% 3.94/4.21 2355 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1740,b,1686,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2355,b,2222,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2355,b,2223,b)].
% 3.94/4.21 2356 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1741,b,1686,b)].
% 3.94/4.21 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2356,b,2222,b)].
% 3.94/4.21 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2356,b,2223,b)].
% 3.94/4.21 2357 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1742,b,1686,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2357,b,2222,b)].
% 3.94/4.21 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2357,b,2223,b)].
% 3.94/4.22 2358 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(1743,b,1686,b)].
% 3.94/4.22 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2358,b,2222,b)].
% 3.94/4.22 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2358,b,2223,b)].
% 3.94/4.22 2359 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1744,b,1686,b)].
% 3.94/4.22 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2359,b,2222,b)].
% 3.94/4.22 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2359,b,2223,b)].
% 3.94/4.22 2360 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1745,c,1686,b)].
% 3.94/4.22 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2360,c,2222,b)].
% 3.94/4.22 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2360,c,2223,b)].
% 3.94/4.22 2361 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1746,c,1686,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2361,c,2222,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2361,c,2223,b)].
% 3.94/4.22 2362 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1747,c,1686,b)].
% 3.94/4.22 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2362,c,2222,b)].
% 3.94/4.22 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2362,c,2223,b)].
% 3.94/4.22 2363 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1748,c,1686,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2363,c,2222,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2363,c,2223,b)].
% 3.94/4.22 2364 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1749,b,1686,b)].
% 3.94/4.22 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2364,b,2222,b)].
% 3.94/4.22 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2364,b,2223,b)].
% 3.94/4.22 2365 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1750,d,1686,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2365,d,2222,b)].
% 3.94/4.22 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2365,d,2223,b)].
% 3.94/4.22 2366 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1751,c,1686,b)].
% 3.94/4.22 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2366,c,2222,b)].
% 3.94/4.22 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2366,c,2223,b)].
% 3.94/4.22 2367 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1752,c,1686,b)].
% 4.03/4.22 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2367,c,2222,b)].
% 4.03/4.22 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2367,c,2223,b)].
% 4.03/4.22 2368 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1753,c,1686,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2368,c,2222,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2368,c,2223,b)].
% 4.03/4.22 2369 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1754,c,1686,b)].
% 4.03/4.22 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2369,c,2222,b)].
% 4.03/4.22 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2369,c,2223,b)].
% 4.03/4.22 2370 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1755,c,1686,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2370,c,2222,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2370,c,2223,b)].
% 4.03/4.22 2371 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1756,c,1686,b)].
% 4.03/4.22 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2371,c,2222,b)].
% 4.03/4.22 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2371,c,2223,b)].
% 4.03/4.22 2372 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1757,c,1686,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2372,c,2222,b)].
% 4.03/4.22 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2372,c,2223,b)].
% 4.03/4.22 2373 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__ring__strict(C). [resolve(1758,c,1686,b)].
% 4.03/4.22 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2373,c,2222,b)].
% 4.03/4.22 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2373,c,2223,b)].
% 4.03/4.22 2374 c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1851,a,1850,b)].
% 4.03/4.22 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2374,b,2222,b)].
% 4.03/4.22 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2374,b,2223,b)].
% 4.03/4.22 2375 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__ring__strict(B). [resolve(1852,a,1850,b)].
% 4.03/4.22 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2375,b,2222,b)].
% 4.03/4.22 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2375,b,2223,b)].
% 4.03/4.22 2376 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(2208,b,2102,b)].
% 4.03/4.22 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(2376,b,2221,a)].
% 4.03/4.22 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2376,b,2222,b)].
% 4.03/4.22 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2376,b,2223,b)].
% 4.03/4.22 2377 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__ring__strict(A). [resolve(2209,b,2102,b)].
% 4.03/4.24 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(2377,b,2221,a)].
% 4.03/4.24 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2377,b,2222,b)].
% 4.03/4.24 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2377,b,2223,b)].
% 4.03/4.24 2378 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_15) # label(axiom). [assumption].
% 4.03/4.24 2379 class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_56) # label(axiom). [assumption].
% 4.03/4.24 2380 class_Ring__and__Field_Oordered__semidom(tc_nat) # label(clsarity_nat_43) # label(axiom). [assumption].
% 4.03/4.24 2381 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__semidom(A) # label(clsrel_Ring__and__Field_Oordered__field_60) # label(axiom). [assumption].
% 4.03/4.24 2382 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oordered__semidom(A) # label(clsrel_Ring__and__Field_Oordered__idom_55) # label(axiom). [assumption].
% 4.03/4.25 2383 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oordered__semidom_16) # label(axiom). [assumption].
% 4.03/4.25 2384 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_17) # label(axiom). [assumption].
% 4.03/4.25 2385 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oordered__semidom_18) # label(axiom). [assumption].
% 4.03/4.25 2386 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__semidom_2) # label(axiom). [assumption].
% 4.03/4.25 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2386,a,2382,b)].
% 4.03/4.25 2387 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__semidom_22) # label(axiom). [assumption].
% 4.03/4.25 2388 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oordered__semidom_23) # label(axiom). [assumption].
% 4.03/4.25 2389 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oordered__semidom_7) # label(axiom). [assumption].
% 4.03/4.25 2390 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(77,b,67,b)].
% 4.03/4.25 2391 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(78,b,67,b)].
% 4.03/4.25 2392 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(121,b,111,a)].
% 4.03/4.25 2393 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Otimes(A). [resolve(121,b,112,a)].
% 4.03/4.25 2394 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(189,b,184,b)].
% 4.03/4.25 2395 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(190,b,184,b)].
% 4.03/4.25 2396 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(191,b,184,b)].
% 4.03/4.25 2397 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(192,b,184,b)].
% 4.03/4.25 2398 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(226,a,212,b)].
% 4.03/4.25 2399 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(227,a,212,b)].
% 4.03/4.25 2400 class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(431,a,428,b)].
% 4.03/4.25 2401 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(439,a,428,b)].
% 4.03/4.25 2402 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(469,b,460,b)].
% 4.03/4.25 2403 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(499,b,483,b)].
% 4.03/4.25 2404 class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(567,b,552,b)].
% 4.03/4.25 Derived: class_HOL_Oone(tc_IntDef_Oint). [resolve(2404,b,2379,a)].
% 4.03/4.25 Derived: class_HOL_Oone(tc_nat). [resolve(2404,b,2380,a)].
% 4.03/4.25 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2404,b,2381,b)].
% 4.03/4.25 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2404,b,2382,b)].
% 4.03/4.25 2405 -class_Ring__and__Field_Oordered__semidom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(657,a,571,a)].
% 4.03/4.25 2406 -class_Ring__and__Field_Oordered__semidom(A) | class_HOL_Oplus(A). [resolve(657,a,578,a)].
% 4.03/4.25 2407 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,B,A). [resolve(696,b,669,a)].
% 4.03/4.25 2408 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(696,b,670,a)].
% 4.03/4.25 2409 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(696,b,671,a)].
% 4.03/4.25 2410 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(696,b,672,a)].
% 4.03/4.25 2411 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(696,b,673,a)].
% 4.03/4.25 2412 -class_Ring__and__Field_Oordered__semidom(A) | c_lessequals(B,B,A). [resolve(696,b,674,a)].
% 4.03/4.25 2413 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(705,a,696,b)].
% 4.03/4.25 2414 -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(725,b,707,a)].
% 4.03/4.25 2415 -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(725,b,708,a)].
% 4.03/4.25 2416 -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(725,b,709,a)].
% 4.03/4.25 2417 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(725,b,710,a)].
% 4.03/4.25 2418 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(725,b,711,a)].
% 4.03/4.25 2419 -class_Ring__and__Field_Oordered__semidom(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(725,b,712,a)].
% 4.03/4.25 2420 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(725,b,713,a)].
% 4.03/4.25 2421 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(725,b,714,a)].
% 4.03/4.25 2422 -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(765,b,737,a)].
% 4.03/4.25 2423 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(765,b,738,a)].
% 4.03/4.25 2424 -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(765,b,739,a)].
% 4.03/4.25 2425 -class_Ring__and__Field_Oordered__semidom(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(765,b,740,a)].
% 4.03/4.25 2426 -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(765,b,741,a)].
% 4.03/4.25 2427 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(765,b,742,a)].
% 4.03/4.25 2428 -class_Ring__and__Field_Oordered__semidom(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(765,b,743,a)].
% 4.03/4.25 2429 -class_Ring__and__Field_Oordered__semidom(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(765,b,744,a)].
% 4.03/4.25 2430 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(903,b,882,b)].
% 4.03/4.25 2431 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(904,c,882,b)].
% 4.03/4.26 2432 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(905,c,882,b)].
% 4.03/4.26 2433 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(906,c,882,b)].
% 4.03/4.26 2434 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(907,c,882,b)].
% 4.03/4.26 2435 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(908,b,882,b)].
% 4.03/4.26 2436 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(909,d,882,b)].
% 4.03/4.26 2437 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(910,c,882,b)].
% 4.03/4.26 2438 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(911,c,882,b)].
% 4.03/4.26 2439 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(912,c,882,b)].
% 4.03/4.26 2440 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(913,c,882,b)].
% 4.03/4.26 2441 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(914,c,882,b)].
% 4.03/4.26 2442 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(915,c,882,b)].
% 4.03/4.26 2443 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(916,c,882,b)].
% 4.03/4.26 2444 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(917,c,882,b)].
% 4.03/4.26 2445 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1031,b,1011,b)].
% 4.03/4.26 2446 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1032,b,1011,b)].
% 4.03/4.26 2447 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1033,b,1011,b)].
% 4.03/4.26 2448 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1034,c,1011,b)].
% 4.03/4.26 2449 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1035,c,1011,b)].
% 4.03/4.26 2450 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1036,c,1011,b)].
% 4.03/4.26 2451 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1037,c,1011,b)].
% 4.03/4.26 2452 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1038,b,1011,b)].
% 4.03/4.26 2453 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1039,d,1011,b)].
% 4.03/4.26 2454 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1040,c,1011,b)].
% 4.03/4.26 2455 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1041,c,1011,b)].
% 4.03/4.26 2456 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1042,c,1011,b)].
% 4.03/4.26 2457 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1043,c,1011,b)].
% 4.03/4.26 2458 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1044,c,1011,b)].
% 4.03/4.26 2459 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1045,c,1011,b)].
% 4.03/4.26 2460 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1046,c,1011,b)].
% 4.03/4.27 2461 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1047,c,1011,b)].
% 4.03/4.27 2462 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1144,a,1132,b)].
% 4.03/4.27 2463 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1149,b,1132,b)].
% 4.03/4.27 2464 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1206,d,1174,b)].
% 4.03/4.27 2465 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1207,b,1174,b)].
% 4.03/4.27 2466 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1208,b,1174,b)].
% 4.03/4.27 2467 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1209,b,1174,b)].
% 4.03/4.27 2468 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1210,b,1174,b)].
% 4.03/4.27 2469 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1211,b,1174,b)].
% 4.03/4.27 2470 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1212,c,1174,b)].
% 4.03/4.27 2471 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1213,c,1174,b)].
% 4.03/4.27 2472 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1214,c,1174,b)].
% 4.03/4.27 2473 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1215,c,1174,b)].
% 4.03/4.27 2474 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1216,b,1174,b)].
% 4.03/4.27 2475 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1217,d,1174,b)].
% 4.03/4.27 2476 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1218,c,1174,b)].
% 4.03/4.27 2477 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1219,c,1174,b)].
% 4.03/4.27 2478 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1220,c,1174,b)].
% 4.03/4.27 2479 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1221,c,1174,b)].
% 4.03/4.27 2480 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1222,c,1174,b)].
% 4.03/4.27 2481 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1223,c,1174,b)].
% 4.03/4.27 2482 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1224,c,1174,b)].
% 4.03/4.27 2483 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1225,c,1174,b)].
% 4.03/4.27 2484 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1254,a,1233,b)].
% 4.03/4.27 2485 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1255,a,1233,b)].
% 4.03/4.27 2486 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1256,a,1233,b)].
% 4.03/4.27 2487 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1257,a,1233,b)].
% 4.03/4.27 2488 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1258,a,1233,b)].
% 4.11/4.31 2489 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1259,a,1233,b)].
% 4.11/4.31 2490 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1260,a,1233,b)].
% 4.11/4.31 2491 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1261,a,1233,b)].
% 4.11/4.31 2492 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1285,b,1233,b)].
% 4.11/4.31 2493 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1286,b,1233,b)].
% 4.11/4.31 2494 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1307,d,1233,b)].
% 4.11/4.31 2495 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1308,b,1233,b)].
% 4.11/4.31 2496 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1309,b,1233,b)].
% 4.11/4.31 2497 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1310,b,1233,b)].
% 4.11/4.31 2498 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1311,b,1233,b)].
% 4.11/4.31 2499 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1312,b,1233,b)].
% 4.11/4.31 2500 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1313,c,1233,b)].
% 4.11/4.31 2501 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1314,c,1233,b)].
% 4.11/4.31 2502 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1315,c,1233,b)].
% 4.11/4.31 2503 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1316,c,1233,b)].
% 4.11/4.31 2504 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__semidom(B). [resolve(1317,b,1233,b)].
% 4.11/4.31 2505 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1318,d,1233,b)].
% 4.11/4.31 2506 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1319,c,1233,b)].
% 4.11/4.31 2507 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1320,c,1233,b)].
% 4.11/4.31 2508 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1321,c,1233,b)].
% 4.11/4.31 2509 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1322,c,1233,b)].
% 4.11/4.31 2510 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1323,c,1233,b)].
% 4.11/4.31 2511 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1324,c,1233,b)].
% 4.11/4.31 2512 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1325,c,1233,b)].
% 4.11/4.31 2513 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__semidom(C). [resolve(1326,c,1233,b)].
% 4.11/4.31 2514 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1590,b,1471,b)].
% 4.11/4.31 Derived: class_OrderedGroup_Osemigroup__add(tc_nat). [resolve(2514,b,2380,a)].
% 4.11/4.31 2515 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__semidom(A). [resolve(1591,b,1471,b)].
% 4.11/4.31 Derived: class_HOL_Oplus(tc_nat). [resolve(2515,b,2380,a)].
% 4.11/4.31 2516 -class_Ring__and__Field_Oidom(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Oidom_0) # label(axiom). [assumption].
% 4.11/4.31 2517 class_Ring__and__Field_Oidom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_57) # label(axiom). [assumption].
% 4.11/4.31 2518 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Ofield_31) # label(axiom). [assumption].
% 4.11/4.31 Derived: class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint). [resolve(2516,a,2517,a)].
% 4.11/4.31 Derived: class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Ofield(A). [resolve(2516,a,2518,b)].
% 4.11/4.31 2519 -class_Ring__and__Field_Oidom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oidom_13) # label(axiom). [assumption].
% 4.11/4.31 2520 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oidom_21) # label(axiom). [assumption].
% 4.11/4.31 2521 -class_Ring__and__Field_Oidom(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oidom_22) # label(axiom). [assumption].
% 4.11/4.31 2522 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oidom_23) # label(axiom). [assumption].
% 4.11/4.31 2523 -class_Ring__and__Field_Oidom(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oidom_24) # label(axiom). [assumption].
% 4.11/4.31 2524 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oidom_28) # label(axiom). [assumption].
% 4.11/4.31 2525 -class_Ring__and__Field_Oidom(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oidom_29) # label(axiom). [assumption].
% 4.11/4.31 2526 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oidom_4) # label(axiom). [assumption].
% 4.11/4.31 2527 -class_Ring__and__Field_Oidom(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oidom_5) # label(axiom). [assumption].
% 4.11/4.31 2528 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oidom_8) # label(axiom). [assumption].
% 4.11/4.31 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(2528,a,2518,b)].
% 4.11/4.31 2529 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Oordered__field_2) # label(axiom). [assumption].
% 4.11/4.31 2530 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Oidom(A) # label(clsrel_Ring__and__Field_Oordered__idom_57) # label(axiom). [assumption].
% 4.11/4.31 Derived: -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring__1(A). [resolve(2530,b,2516,a)].
% 4.11/4.31 2531 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(77,b,61,b)].
% 4.11/4.31 2532 class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(78,b,61,b)].
% 4.11/4.31 2533 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A). [resolve(157,a,139,b)].
% 4.11/4.31 2534 class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A). [resolve(158,a,139,b)].
% 4.11/4.31 2535 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(189,b,180,b)].
% 4.11/4.31 2536 class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(190,b,180,b)].
% 4.11/4.31 2537 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(226,a,206,b)].
% 4.11/4.31 2538 class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(227,a,206,b)].
% 4.11/4.31 2539 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(317,a,306,b)].
% 4.11/4.31 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2539,b,2518,b)].
% 4.11/4.31 2540 class_HOL_Ominus(A) | -class_Ring__and__Field_Oidom(A). [resolve(318,a,306,b)].
% 4.11/4.31 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Ofield(A). [resolve(2540,b,2518,b)].
% 4.11/4.31 2541 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oidom(A). [resolve(325,b,306,b)].
% 4.11/4.31 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(2541,b,2518,b)].
% 4.11/4.31 2542 class_HOL_Otimes(A) | -class_Ring__and__Field_Oidom(A). [resolve(326,b,306,b)].
% 4.11/4.31 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(2542,b,2518,b)].
% 4.11/4.31 2543 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(327,b,306,b)].
% 4.11/4.31 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2543,b,2518,b)].
% 4.11/4.36 2544 class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(328,b,306,b)].
% 4.11/4.36 2545 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oidom(A). [resolve(395,b,374,b)].
% 4.11/4.36 2546 class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(396,b,374,b)].
% 4.11/4.36 2547 class_HOL_Oone(A) | -class_Ring__and__Field_Oidom(A). [resolve(431,a,425,b)].
% 4.11/4.36 2548 class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(469,b,457,b)].
% 4.11/4.36 2549 class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(470,b,457,b)].
% 4.11/4.36 2550 class_HOL_Oone(A) | -class_Ring__and__Field_Oidom(A). [resolve(528,b,506,b)].
% 4.11/4.36 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(2550,b,2518,b)].
% 4.11/4.36 2551 class_HOL_Oplus(A) | -class_Ring__and__Field_Oidom(A). [resolve(531,b,506,b)].
% 4.11/4.36 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(2551,b,2518,b)].
% 4.11/4.36 2552 class_HOL_Ozero(A) | -class_Ring__and__Field_Oidom(A). [resolve(532,b,506,b)].
% 4.11/4.36 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(2552,b,2518,b)].
% 4.11/4.36 2553 -class_Ring__and__Field_Oidom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(663,a,571,a)].
% 4.11/4.36 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2553,a,2518,b)].
% 4.11/4.36 2554 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Oordered__idom_0) # label(axiom). [assumption].
% 4.11/4.36 2555 class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_58) # label(axiom). [assumption].
% 4.11/4.36 2556 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Oordered__idom(A) # label(clsrel_Ring__and__Field_Oordered__field_34) # label(axiom). [assumption].
% 4.11/4.36 Derived: class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2554,a,2556,b)].
% 4.11/4.36 2557 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Oordered__idom_13) # label(axiom). [assumption].
% 4.11/4.36 2558 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_21) # label(axiom). [assumption].
% 4.11/4.36 2559 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Oordered__idom_22) # label(axiom). [assumption].
% 4.11/4.36 2560 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_23) # label(axiom). [assumption].
% 4.11/4.36 2561 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Oordered__idom_24) # label(axiom). [assumption].
% 4.11/4.36 2562 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_28) # label(axiom). [assumption].
% 4.11/4.36 2563 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Oordered__idom_29) # label(axiom). [assumption].
% 4.11/4.36 2564 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Oordered__idom_4) # label(axiom). [assumption].
% 4.11/4.36 2565 -class_Ring__and__Field_Oordered__idom(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Oordered__idom_5) # label(axiom). [assumption].
% 4.11/4.36 2566 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Oordered__idom_8) # label(axiom). [assumption].
% 4.11/4.36 2567 class_Ring__and__Field_Oordered__idom(t_a) # label(tfree_tcs) # label(negated_conjecture). [assumption].
% 4.11/4.36 Derived: class_Ring__and__Field_Ocomm__ring__1(t_a). [resolve(2567,a,2554,a)].
% 4.11/4.36 Derived: class_HOL_Oone(t_a). [resolve(2567,a,2557,a)].
% 4.11/4.36 Derived: class_OrderedGroup_Osemigroup__mult(t_a). [resolve(2567,a,2558,a)].
% 4.11/4.36 Derived: class_HOL_Otimes(t_a). [resolve(2567,a,2559,a)].
% 4.11/4.36 Derived: class_OrderedGroup_Ocomm__monoid__add(t_a). [resolve(2567,a,2560,a)].
% 4.11/4.36 Derived: class_HOL_Ozero(t_a). [resolve(2567,a,2561,a)].
% 4.11/4.36 Derived: class_OrderedGroup_Osemigroup__add(t_a). [resolve(2567,a,2562,a)].
% 4.18/4.37 Derived: class_HOL_Oplus(t_a). [resolve(2567,a,2563,a)].
% 4.18/4.37 Derived: class_OrderedGroup_Oab__group__add(t_a). [resolve(2567,a,2564,a)].
% 4.18/4.37 Derived: class_HOL_Ominus(t_a). [resolve(2567,a,2565,a)].
% 4.18/4.37 Derived: class_OrderedGroup_Ocomm__monoid__mult(t_a). [resolve(2567,a,2566,a)].
% 4.18/4.37 2568 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(77,b,65,b)].
% 4.18/4.37 2569 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(78,b,65,b)].
% 4.18/4.37 2570 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(157,a,143,b)].
% 4.18/4.37 2571 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(158,a,143,b)].
% 4.18/4.37 2572 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(189,b,183,b)].
% 4.18/4.37 2573 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(190,b,183,b)].
% 4.18/4.37 2574 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(226,a,210,b)].
% 4.18/4.37 2575 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(227,a,210,b)].
% 4.18/4.37 2576 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(317,a,309,b)].
% 4.18/4.37 2577 class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(318,a,309,b)].
% 4.18/4.37 2578 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(325,b,309,b)].
% 4.18/4.37 2579 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(326,b,309,b)].
% 4.18/4.37 2580 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(327,b,309,b)].
% 4.18/4.37 2581 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(328,b,309,b)].
% 4.18/4.37 2582 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(395,b,376,b)].
% 4.18/4.37 2583 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(396,b,376,b)].
% 4.18/4.37 2584 class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(431,a,427,b)].
% 4.18/4.37 2585 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(469,b,459,b)].
% 4.18/4.37 2586 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(470,b,459,b)].
% 4.18/4.37 2587 class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(528,b,508,b)].
% 4.18/4.37 2588 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(531,b,508,b)].
% 4.18/4.37 2589 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(532,b,508,b)].
% 4.18/4.37 2590 -class_Ring__and__Field_Oordered__idom(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(665,a,571,a)].
% 4.18/4.37 2591 -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,B,A). [resolve(694,b,669,a)].
% 4.18/4.37 Derived: -c_less(A,A,t_a). [resolve(2591,a,2567,a)].
% 4.18/4.37 2592 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(694,b,670,a)].
% 4.18/4.37 Derived: -c_lessequals(c_SetInterval_OatLeast(A,t_a),c_SetInterval_OatLeast(B,t_a),tc_set(t_a)) | c_lessequals(B,A,t_a). [resolve(2592,a,2567,a)].
% 4.18/4.37 2593 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(694,b,671,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_lessequals(c_SetInterval_OatLeast(B,t_a),c_SetInterval_OatLeast(A,t_a),tc_set(t_a)). [resolve(2593,a,2567,a)].
% 4.18/4.37 2594 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(694,b,672,a)].
% 4.18/4.37 Derived: -c_lessequals(c_SetInterval_OatMost(A,t_a),c_SetInterval_OatMost(B,t_a),tc_set(t_a)) | c_lessequals(A,B,t_a). [resolve(2594,a,2567,a)].
% 4.18/4.37 2595 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(694,b,673,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_lessequals(c_SetInterval_OatMost(A,t_a),c_SetInterval_OatMost(B,t_a),tc_set(t_a)). [resolve(2595,a,2567,a)].
% 4.18/4.37 2596 -class_Ring__and__Field_Oordered__idom(A) | c_lessequals(B,B,A). [resolve(694,b,674,a)].
% 4.18/4.37 Derived: c_lessequals(A,A,t_a). [resolve(2596,a,2567,a)].
% 4.18/4.37 2597 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(705,a,694,b)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | -c_lessequals(C,A,t_a) | c_lessequals(C,B,t_a). [resolve(2597,d,2567,a)].
% 4.18/4.37 2598 -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(723,b,707,a)].
% 4.18/4.37 Derived: c_SetInterval_OatLeast(A,t_a) != c_SetInterval_OatLeast(B,t_a) | A = B. [resolve(2598,a,2567,a)].
% 4.18/4.37 2599 -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(723,b,708,a)].
% 4.18/4.37 Derived: c_SetInterval_OatMost(A,t_a) != c_SetInterval_OatMost(B,t_a) | A = B. [resolve(2599,a,2567,a)].
% 4.18/4.37 2600 -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(723,b,709,a)].
% 4.18/4.37 Derived: c_SetInterval_OgreaterThan(A,t_a) != c_SetInterval_OgreaterThan(B,t_a) | A = B. [resolve(2600,a,2567,a)].
% 4.18/4.37 2601 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(723,b,710,a)].
% 4.18/4.37 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,t_a),c_SetInterval_OgreaterThan(B,t_a),tc_set(t_a)) | c_lessequals(B,A,t_a). [resolve(2601,a,2567,a)].
% 4.18/4.37 2602 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(723,b,711,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_lessequals(c_SetInterval_OgreaterThan(B,t_a),c_SetInterval_OgreaterThan(A,t_a),tc_set(t_a)). [resolve(2602,a,2567,a)].
% 4.18/4.37 2603 -class_Ring__and__Field_Oordered__idom(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(723,b,712,a)].
% 4.18/4.37 Derived: c_SetInterval_OlessThan(A,t_a) != c_SetInterval_OlessThan(B,t_a) | A = B. [resolve(2603,a,2567,a)].
% 4.18/4.37 2604 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(723,b,713,a)].
% 4.18/4.37 Derived: -c_lessequals(c_SetInterval_OlessThan(A,t_a),c_SetInterval_OlessThan(B,t_a),tc_set(t_a)) | c_lessequals(A,B,t_a). [resolve(2604,a,2567,a)].
% 4.18/4.37 2605 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(723,b,714,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_lessequals(c_SetInterval_OlessThan(A,t_a),c_SetInterval_OlessThan(B,t_a),tc_set(t_a)). [resolve(2605,a,2567,a)].
% 4.18/4.37 2606 -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(763,b,737,a)].
% 4.18/4.37 Derived: -c_in(A,c_SetInterval_OatLeast(B,t_a),t_a) | c_lessequals(B,A,t_a). [resolve(2606,a,2567,a)].
% 4.18/4.37 2607 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(763,b,738,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_in(B,c_SetInterval_OatLeast(A,t_a),t_a). [resolve(2607,a,2567,a)].
% 4.18/4.37 2608 -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(763,b,739,a)].
% 4.18/4.37 Derived: -c_in(A,c_SetInterval_OatMost(B,t_a),t_a) | c_lessequals(A,B,t_a). [resolve(2608,a,2567,a)].
% 4.18/4.37 2609 -class_Ring__and__Field_Oordered__idom(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(763,b,740,a)].
% 4.18/4.37 Derived: -c_lessequals(A,B,t_a) | c_in(A,c_SetInterval_OatMost(B,t_a),t_a). [resolve(2609,a,2567,a)].
% 4.18/4.37 2610 -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(763,b,741,a)].
% 4.18/4.37 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,t_a),t_a) | c_less(B,A,t_a). [resolve(2610,a,2567,a)].
% 4.18/4.37 2611 -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(763,b,742,a)].
% 4.19/4.38 Derived: -c_less(A,B,t_a) | c_in(B,c_SetInterval_OgreaterThan(A,t_a),t_a). [resolve(2611,a,2567,a)].
% 4.19/4.38 2612 -class_Ring__and__Field_Oordered__idom(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(763,b,743,a)].
% 4.19/4.38 Derived: -c_in(A,c_SetInterval_OlessThan(B,t_a),t_a) | c_less(A,B,t_a). [resolve(2612,a,2567,a)].
% 4.19/4.38 2613 -class_Ring__and__Field_Oordered__idom(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(763,b,744,a)].
% 4.19/4.38 Derived: -c_less(A,B,t_a) | c_in(A,c_SetInterval_OlessThan(B,t_a),t_a). [resolve(2613,a,2567,a)].
% 4.19/4.38 2614 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(903,b,880,b)].
% 4.19/4.38 2615 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(904,c,880,b)].
% 4.19/4.38 2616 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(905,c,880,b)].
% 4.19/4.38 2617 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(906,c,880,b)].
% 4.19/4.38 2618 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(907,c,880,b)].
% 4.19/4.38 2619 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(908,b,880,b)].
% 4.19/4.38 2620 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(909,d,880,b)].
% 4.19/4.38 2621 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(910,c,880,b)].
% 4.19/4.38 2622 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(911,c,880,b)].
% 4.19/4.38 2623 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(912,c,880,b)].
% 4.19/4.38 2624 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(913,c,880,b)].
% 4.19/4.38 2625 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(914,c,880,b)].
% 4.19/4.38 2626 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(915,c,880,b)].
% 4.19/4.38 2627 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(916,c,880,b)].
% 4.19/4.38 2628 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(917,c,880,b)].
% 4.19/4.38 2629 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(980,a,972,b)].
% 4.19/4.38 2630 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1031,b,1009,b)].
% 4.19/4.38 2631 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1033,b,1009,b)].
% 4.19/4.38 2632 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1034,c,1009,b)].
% 4.19/4.38 2633 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1035,c,1009,b)].
% 4.19/4.38 2634 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1036,c,1009,b)].
% 4.19/4.38 2635 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1037,c,1009,b)].
% 4.19/4.38 2636 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1038,b,1009,b)].
% 4.19/4.38 2637 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1039,d,1009,b)].
% 4.19/4.38 2638 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1040,c,1009,b)].
% 4.19/4.38 2639 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1041,c,1009,b)].
% 4.19/4.39 2640 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1042,c,1009,b)].
% 4.19/4.39 2641 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1043,c,1009,b)].
% 4.19/4.39 2642 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1044,c,1009,b)].
% 4.19/4.39 2643 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1045,c,1009,b)].
% 4.19/4.39 2644 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1046,c,1009,b)].
% 4.19/4.39 2645 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1047,c,1009,b)].
% 4.19/4.39 2646 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1108,b,1054,b)].
% 4.19/4.39 2647 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1144,a,1130,b)].
% 4.19/4.39 Derived: -c_lessequals(A,B,t_a) | -c_lessequals(c_0,C,t_a) | c_lessequals(c_times(A,C,t_a),c_times(B,C,t_a),t_a). [resolve(2647,d,2567,a)].
% 4.19/4.39 2648 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1206,d,1172,b)].
% 4.19/4.39 2649 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1207,b,1172,b)].
% 4.19/4.39 2650 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1208,b,1172,b)].
% 4.19/4.39 2651 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1209,b,1172,b)].
% 4.19/4.39 2652 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1210,b,1172,b)].
% 4.19/4.39 2653 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1211,b,1172,b)].
% 4.19/4.39 2654 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1212,c,1172,b)].
% 4.19/4.39 2655 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1213,c,1172,b)].
% 4.19/4.39 2656 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1214,c,1172,b)].
% 4.19/4.39 2657 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1215,c,1172,b)].
% 4.19/4.39 2658 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1216,b,1172,b)].
% 4.19/4.39 2659 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1217,d,1172,b)].
% 4.19/4.39 2660 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1218,c,1172,b)].
% 4.19/4.39 2661 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1219,c,1172,b)].
% 4.19/4.39 2662 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1220,c,1172,b)].
% 4.19/4.39 2663 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1221,c,1172,b)].
% 4.19/4.39 2664 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1222,c,1172,b)].
% 4.19/4.39 2665 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1223,c,1172,b)].
% 4.19/4.39 2666 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1224,c,1172,b)].
% 4.19/4.39 2667 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1225,c,1172,b)].
% 4.19/4.39 2668 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1254,a,1231,b)].
% 4.19/4.40 2669 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1255,a,1231,b)].
% 4.19/4.40 2670 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1256,a,1231,b)].
% 4.19/4.40 2671 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1257,a,1231,b)].
% 4.19/4.40 2672 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1258,a,1231,b)].
% 4.19/4.40 2673 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(1259,a,1231,b)].
% 4.19/4.40 2674 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1260,a,1231,b)].
% 4.19/4.40 2675 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1261,a,1231,b)].
% 4.19/4.40 2676 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1285,b,1231,b)].
% 4.19/4.40 2677 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1307,d,1231,b)].
% 4.19/4.40 2678 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1308,b,1231,b)].
% 4.19/4.40 2679 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1309,b,1231,b)].
% 4.19/4.40 2680 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1310,b,1231,b)].
% 4.19/4.40 2681 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1311,b,1231,b)].
% 4.19/4.40 2682 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1312,b,1231,b)].
% 4.19/4.40 2683 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1313,c,1231,b)].
% 4.19/4.40 2684 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1314,c,1231,b)].
% 4.19/4.40 2685 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1315,c,1231,b)].
% 4.19/4.40 2686 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1316,c,1231,b)].
% 4.19/4.40 2687 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1317,b,1231,b)].
% 4.19/4.40 2688 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1318,d,1231,b)].
% 4.19/4.40 2689 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1319,c,1231,b)].
% 4.19/4.40 2690 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1320,c,1231,b)].
% 4.19/4.40 2691 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1321,c,1231,b)].
% 4.19/4.40 2692 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1322,c,1231,b)].
% 4.19/4.40 2693 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1323,c,1231,b)].
% 4.19/4.40 2694 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1324,c,1231,b)].
% 4.19/4.40 2695 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1325,c,1231,b)].
% 4.19/4.40 2696 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1326,c,1231,b)].
% 4.24/4.41 2697 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1364,b,1332,b)].
% 4.24/4.41 2698 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1590,b,1470,b)].
% 4.24/4.41 2699 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1738,b,1685,b)].
% 4.24/4.41 2700 class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1739,b,1685,b)].
% 4.24/4.41 2701 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1740,b,1685,b)].
% 4.24/4.41 2702 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1741,b,1685,b)].
% 4.24/4.41 2703 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1742,b,1685,b)].
% 4.24/4.41 2704 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(1743,b,1685,b)].
% 4.24/4.41 2705 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1744,b,1685,b)].
% 4.24/4.41 2706 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1745,c,1685,b)].
% 4.24/4.41 2707 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1746,c,1685,b)].
% 4.24/4.41 2708 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1747,c,1685,b)].
% 4.24/4.41 2709 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1748,c,1685,b)].
% 4.24/4.41 2710 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1749,b,1685,b)].
% 4.24/4.41 2711 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1750,d,1685,b)].
% 4.24/4.41 2712 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1751,c,1685,b)].
% 4.24/4.41 2713 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1752,c,1685,b)].
% 4.24/4.41 2714 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1753,c,1685,b)].
% 4.24/4.41 2715 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1754,c,1685,b)].
% 4.24/4.41 2716 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1755,c,1685,b)].
% 4.24/4.41 2717 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1756,c,1685,b)].
% 4.24/4.41 2718 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1757,c,1685,b)].
% 4.24/4.41 2719 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(1758,c,1685,b)].
% 4.24/4.41 2720 c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1851,a,1849,b)].
% 4.24/4.41 Derived: c_lessequals(A,c_HOL_Oabs(A,t_a),t_a). [resolve(2720,b,2567,a)].
% 4.24/4.41 2721 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(1852,a,1849,b)].
% 4.24/4.41 Derived: c_lessequals(c_0,c_HOL_Oabs(A,t_a),t_a). [resolve(2721,b,2567,a)].
% 4.24/4.41 2722 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2208,b,2101,b)].
% 4.24/4.41 2723 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2209,b,2101,b)].
% 4.24/4.41 2724 c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2323,c,2223,b)].
% 4.24/4.41 Derived: c_SetInterval_OatLeast(A,tc_IntDef_Oint) != c_SetInterval_OatLeast(B,tc_IntDef_Oint) | A = B. [resolve(2724,c,2555,a)].
% 4.24/4.41 Derived: c_SetInterval_OatLeast(A,B) != c_SetInterval_OatLeast(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2724,c,2556,b)].
% 4.24/4.41 2725 c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2324,c,2223,b)].
% 4.24/4.41 Derived: c_SetInterval_OatMost(A,tc_IntDef_Oint) != c_SetInterval_OatMost(B,tc_IntDef_Oint) | A = B. [resolve(2725,c,2555,a)].
% 4.24/4.41 Derived: c_SetInterval_OatMost(A,B) != c_SetInterval_OatMost(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2725,c,2556,b)].
% 4.24/4.41 2726 c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2325,c,2223,b)].
% 4.24/4.41 Derived: c_SetInterval_OgreaterThan(A,tc_IntDef_Oint) != c_SetInterval_OgreaterThan(B,tc_IntDef_Oint) | A = B. [resolve(2726,c,2555,a)].
% 4.24/4.41 Derived: c_SetInterval_OgreaterThan(A,B) != c_SetInterval_OgreaterThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2726,c,2556,b)].
% 4.24/4.41 2727 -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2326,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(2727,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OgreaterThan(A,B),c_SetInterval_OgreaterThan(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2727,c,2556,b)].
% 4.24/4.41 2728 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2327,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2728,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OgreaterThan(B,C),c_SetInterval_OgreaterThan(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2728,c,2556,b)].
% 4.24/4.41 2729 c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__idom(B). [resolve(2328,c,2223,b)].
% 4.24/4.41 Derived: c_SetInterval_OlessThan(A,tc_IntDef_Oint) != c_SetInterval_OlessThan(B,tc_IntDef_Oint) | A = B. [resolve(2729,c,2555,a)].
% 4.24/4.41 Derived: c_SetInterval_OlessThan(A,B) != c_SetInterval_OlessThan(C,B) | A = C | -class_Ring__and__Field_Oordered__field(B). [resolve(2729,c,2556,b)].
% 4.24/4.41 2730 -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2329,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(2730,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OlessThan(A,B),c_SetInterval_OlessThan(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2730,c,2556,b)].
% 4.24/4.41 2731 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2330,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OlessThan(A,tc_IntDef_Oint),c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2731,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OlessThan(A,C),c_SetInterval_OlessThan(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2731,c,2556,b)].
% 4.24/4.41 2732 -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2333,d,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(c_0,C,tc_IntDef_Oint) | c_lessequals(c_times(A,C,tc_IntDef_Oint),c_times(B,C,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2732,d,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | -c_lessequals(c_0,D,C) | c_lessequals(c_times(A,D,C),c_times(B,D,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2732,d,2556,b)].
% 4.24/4.41 2733 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2353,b,2223,b)].
% 4.24/4.41 Derived: class_OrderedGroup_Oab__group__add(tc_IntDef_Oint). [resolve(2733,b,2555,a)].
% 4.24/4.41 Derived: class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2733,b,2556,b)].
% 4.24/4.41 2734 class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2354,b,2223,b)].
% 4.24/4.41 Derived: class_HOL_Ominus(tc_IntDef_Oint). [resolve(2734,b,2555,a)].
% 4.24/4.41 Derived: class_HOL_Ominus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2734,b,2556,b)].
% 4.24/4.41 2735 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2355,b,2223,b)].
% 4.24/4.41 Derived: class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint). [resolve(2735,b,2555,a)].
% 4.24/4.41 Derived: class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2735,b,2556,b)].
% 4.24/4.41 2736 class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2356,b,2223,b)].
% 4.24/4.41 Derived: class_HOL_Ozero(tc_IntDef_Oint). [resolve(2736,b,2555,a)].
% 4.24/4.41 Derived: class_HOL_Ozero(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2736,b,2556,b)].
% 4.24/4.41 2737 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2357,b,2223,b)].
% 4.24/4.41 Derived: class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint). [resolve(2737,b,2555,a)].
% 4.24/4.41 Derived: class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2737,b,2556,b)].
% 4.24/4.41 2738 class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2358,b,2223,b)].
% 4.24/4.41 Derived: class_HOL_Oplus(tc_IntDef_Oint). [resolve(2738,b,2555,a)].
% 4.24/4.41 Derived: class_HOL_Oplus(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2738,b,2556,b)].
% 4.24/4.41 2739 -c_less(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2359,b,2223,b)].
% 4.24/4.41 Derived: -c_less(A,A,tc_IntDef_Oint). [resolve(2739,b,2555,a)].
% 4.24/4.41 Derived: -c_less(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2739,b,2556,b)].
% 4.24/4.41 2740 -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2360,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OatLeast(A,tc_IntDef_Oint),c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(2740,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OatLeast(A,B),c_SetInterval_OatLeast(C,B),tc_set(B)) | c_lessequals(C,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2740,c,2556,b)].
% 4.24/4.41 2741 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2361,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatLeast(B,tc_IntDef_Oint),c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2741,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatLeast(B,C),c_SetInterval_OatLeast(A,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2741,c,2556,b)].
% 4.24/4.41 2742 -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2362,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(2742,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(c_SetInterval_OatMost(A,B),c_SetInterval_OatMost(C,B),tc_set(B)) | c_lessequals(A,C,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2742,c,2556,b)].
% 4.24/4.41 2743 -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2363,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_lessequals(c_SetInterval_OatMost(A,tc_IntDef_Oint),c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_set(tc_IntDef_Oint)). [resolve(2743,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_lessequals(c_SetInterval_OatMost(A,C),c_SetInterval_OatMost(B,C),tc_set(C)) | -class_Ring__and__Field_Oordered__field(C). [resolve(2743,c,2556,b)].
% 4.24/4.41 2744 c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2364,b,2223,b)].
% 4.24/4.41 Derived: c_lessequals(A,A,tc_IntDef_Oint). [resolve(2744,b,2555,a)].
% 4.24/4.41 Derived: c_lessequals(A,A,B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2744,b,2556,b)].
% 4.24/4.41 2745 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2365,d,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | -c_lessequals(C,A,tc_IntDef_Oint) | c_lessequals(C,B,tc_IntDef_Oint). [resolve(2745,d,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2745,d,2556,b)].
% 4.24/4.41 2746 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2366,c,2223,b)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OatLeast(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(B,A,tc_IntDef_Oint). [resolve(2746,c,2555,a)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2746,c,2556,b)].
% 4.24/4.41 2747 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2367,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OatLeast(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2747,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2747,c,2556,b)].
% 4.24/4.41 2748 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2368,c,2223,b)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_lessequals(A,B,tc_IntDef_Oint). [resolve(2748,c,2555,a)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2748,c,2556,b)].
% 4.24/4.41 2749 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2369,c,2223,b)].
% 4.24/4.41 Derived: -c_lessequals(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OatMost(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2749,c,2555,a)].
% 4.24/4.41 Derived: -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2749,c,2556,b)].
% 4.24/4.41 2750 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2370,c,2223,b)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(B,A,tc_IntDef_Oint). [resolve(2750,c,2555,a)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2750,c,2556,b)].
% 4.24/4.41 2751 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2371,c,2223,b)].
% 4.24/4.41 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(B,c_SetInterval_OgreaterThan(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2751,c,2555,a)].
% 4.24/4.41 Derived: -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2751,c,2556,b)].
% 4.24/4.41 2752 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2372,c,2223,b)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint) | c_less(A,B,tc_IntDef_Oint). [resolve(2752,c,2555,a)].
% 4.24/4.41 Derived: -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2752,c,2556,b)].
% 4.24/4.41 2753 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__idom(C). [resolve(2373,c,2223,b)].
% 4.24/4.41 Derived: -c_less(A,B,tc_IntDef_Oint) | c_in(A,c_SetInterval_OlessThan(B,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2753,c,2555,a)].
% 4.24/4.41 Derived: -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Ring__and__Field_Oordered__field(C). [resolve(2753,c,2556,b)].
% 4.26/4.47 2754 c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2374,b,2223,b)].
% 4.26/4.47 Derived: c_lessequals(A,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2754,b,2555,a)].
% 4.26/4.47 Derived: c_lessequals(A,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2754,b,2556,b)].
% 4.26/4.47 2755 c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__idom(B). [resolve(2375,b,2223,b)].
% 4.26/4.47 Derived: c_lessequals(c_0,c_HOL_Oabs(A,tc_IntDef_Oint),tc_IntDef_Oint). [resolve(2755,b,2555,a)].
% 4.26/4.47 Derived: c_lessequals(c_0,c_HOL_Oabs(A,B),B) | -class_Ring__and__Field_Oordered__field(B). [resolve(2755,b,2556,b)].
% 4.26/4.47 2756 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2376,b,2223,b)].
% 4.26/4.47 Derived: class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint). [resolve(2756,b,2555,a)].
% 4.26/4.47 Derived: class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2756,b,2556,b)].
% 4.26/4.47 2757 class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2377,b,2223,b)].
% 4.26/4.47 Derived: class_HOL_Otimes(tc_IntDef_Oint). [resolve(2757,b,2555,a)].
% 4.26/4.47 Derived: class_HOL_Otimes(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2757,b,2556,b)].
% 4.26/4.47 2758 class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2386,a,2382,b)].
% 4.26/4.47 Derived: class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint). [resolve(2758,b,2555,a)].
% 4.26/4.47 Derived: class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2758,b,2556,b)].
% 4.26/4.47 2759 class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__idom(A). [resolve(2404,b,2382,b)].
% 4.26/4.47 Derived: class_HOL_Oone(tc_IntDef_Oint). [resolve(2759,b,2555,a)].
% 4.26/4.47 Derived: class_HOL_Oone(A) | -class_Ring__and__Field_Oordered__field(A). [resolve(2759,b,2556,b)].
% 4.26/4.47 2760 -class_Ring__and__Field_Oordered__idom(A) | class_Ring__and__Field_Ocomm__ring__1(A). [resolve(2530,b,2516,a)].
% 4.26/4.47 Derived: class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint). [resolve(2760,a,2555,a)].
% 4.26/4.47 2761 -class_Numeral_Onumber__ring(A) | class_HOL_Oplus(A) # label(clsrel_Numeral_Onumber__ring_0) # label(axiom). [assumption].
% 4.26/4.47 2762 class_Numeral_Onumber__ring(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_60) # label(axiom). [assumption].
% 4.26/4.47 2763 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Numeral_Onumber__ring_1) # label(axiom). [assumption].
% 4.26/4.47 2764 -class_Numeral_Onumber__ring(A) | class_HOL_Ominus(A) # label(clsrel_Numeral_Onumber__ring_12) # label(axiom). [assumption].
% 4.26/4.47 2765 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Numeral_Onumber__ring_15) # label(axiom). [assumption].
% 4.26/4.47 2766 -class_Numeral_Onumber__ring(A) | class_HOL_Oone(A) # label(clsrel_Numeral_Onumber__ring_20) # label(axiom). [assumption].
% 4.26/4.47 2767 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Numeral_Onumber__ring_23) # label(axiom). [assumption].
% 4.26/4.47 2768 -class_Numeral_Onumber__ring(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Numeral_Onumber__ring_29) # label(axiom). [assumption].
% 4.26/4.47 2769 -class_Numeral_Onumber__ring(A) | class_HOL_Otimes(A) # label(clsrel_Numeral_Onumber__ring_3) # label(axiom). [assumption].
% 4.26/4.47 2770 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Numeral_Onumber__ring_4) # label(axiom). [assumption].
% 4.26/4.47 2771 -class_Numeral_Onumber__ring(A) | class_HOL_Ozero(A) # label(clsrel_Numeral_Onumber__ring_8) # label(axiom). [assumption].
% 4.26/4.47 2772 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Numeral_Onumber__ring_9) # label(axiom). [assumption].
% 4.26/4.47 2773 class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(1,a,5,b)].
% 4.26/4.47 2774 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(8,a,5,b)].
% 4.26/4.47 2775 class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(77,b,43,b)].
% 4.26/4.47 2776 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(78,b,43,b)].
% 4.35/4.58 2777 class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(79,a,84,b)].
% 4.35/4.58 2778 class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(85,a,84,b)].
% 4.35/4.58 2779 class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(104,a,109,b)].
% 4.35/4.58 2780 class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(189,b,167,b)].
% 4.35/4.58 2781 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(190,b,167,b)].
% 4.35/4.58 2782 class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(191,b,167,b)].
% 4.35/4.58 2783 class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(192,b,167,b)].
% 4.35/4.58 2784 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(226,a,197,b)].
% 4.35/4.58 2785 class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(227,a,197,b)].
% 4.35/4.58 2786 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(262,b,235,b)].
% 4.35/4.58 2787 class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(263,b,235,b)].
% 4.35/4.58 2788 class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A). [resolve(317,a,302,b)].
% 4.35/4.58 2789 class_HOL_Ominus(A) | -class_Numeral_Onumber__ring(A). [resolve(318,a,302,b)].
% 4.35/4.58 2790 class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(356,b,334,b)].
% 4.35/4.58 2791 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(357,b,334,b)].
% 4.35/4.58 2792 class_OrderedGroup_Osemigroup__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(386,b,363,b)].
% 4.35/4.58 2793 class_HOL_Otimes(A) | -class_Numeral_Onumber__ring(A). [resolve(387,b,363,b)].
% 4.35/4.58 2794 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Numeral_Onumber__ring(A). [resolve(390,b,363,b)].
% 4.35/4.58 2795 class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(391,b,363,b)].
% 4.35/4.58 2796 class_OrderedGroup_Oab__group__add(A) | -class_Numeral_Onumber__ring(A). [resolve(392,b,363,b)].
% 4.35/4.58 2797 class_HOL_Ominus(A) | -class_Numeral_Onumber__ring(A). [resolve(393,b,363,b)].
% 4.35/4.58 2798 class_OrderedGroup_Osemigroup__add(A) | -class_Numeral_Onumber__ring(A). [resolve(395,b,363,b)].
% 4.35/4.58 2799 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(396,b,363,b)].
% 4.35/4.58 2800 class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Numeral_Onumber__ring(A). [resolve(451,a,444,b)].
% 4.35/4.58 2801 class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(468,b,444,b)].
% 4.35/4.58 2802 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(469,b,444,b)].
% 4.35/4.58 2803 class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(470,b,444,b)].
% 4.35/4.58 2804 class_HOL_Oplus(A) | -class_Numeral_Onumber__ring(A). [resolve(531,b,503,b)].
% 4.35/4.58 2805 class_HOL_Ozero(A) | -class_Numeral_Onumber__ring(A). [resolve(532,b,503,b)].
% 4.35/4.58 2806 class_HOL_Oone(A) | -class_Numeral_Onumber__ring(A). [resolve(567,b,537,b)].
% 4.35/4.58 2807 -class_Numeral_Onumber__ring(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(660,a,571,a)].
% 4.35/4.58 2808 -class_Power_Orecpower(A) | class_HOL_Ozero(A) # label(clsrel_Power_Orecpower_1) # label(axiom). [assumption].
% 4.35/4.58 2809 class_Power_Orecpower(tc_IntDef_Oint) # label(clsarity_IntDef__Oint_63) # label(axiom). [assumption].
% 4.35/4.58 2810 class_Power_Orecpower(tc_nat) # label(clsarity_nat_45) # label(axiom). [assumption].
% 4.35/4.58 2811 -class_Power_Orecpower(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Power_Orecpower_12) # label(axiom). [assumption].
% 4.35/4.58 2812 -class_Power_Orecpower(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Power_Orecpower_16) # label(axiom). [assumption].
% 4.35/4.58 2813 -class_Power_Orecpower(A) | class_HOL_Oone(A) # label(clsrel_Power_Orecpower_2) # label(axiom). [assumption].
% 4.35/4.58 2814 -class_Power_Orecpower(A) | class_HOL_Oplus(A) # label(clsrel_Power_Orecpower_4) # label(axiom). [assumption].
% 4.35/4.58 2815 -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Power_Orecpower_5) # label(axiom). [assumption].
% 4.35/4.58 2816 -class_Power_Orecpower(A) | class_HOL_Otimes(A) # label(clsrel_Power_Orecpower_7) # label(axiom). [assumption].
% 4.35/4.58 2817 -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Power_Orecpower_8) # label(axiom). [assumption].
% 4.42/4.66 2818 class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(77,b,55,b)].
% 4.42/4.66 2819 class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(78,b,55,b)].
% 4.42/4.66 2820 -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__mult(A). [resolve(87,b,79,a)].
% 4.42/4.66 2821 -class_Power_Orecpower(A) | class_HOL_Otimes(A). [resolve(87,b,85,a)].
% 4.42/4.66 2822 class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(189,b,168,b)].
% 4.42/4.66 2823 class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(190,b,168,b)].
% 4.42/4.66 2824 class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A). [resolve(191,b,168,b)].
% 4.42/4.66 2825 class_HOL_Otimes(A) | -class_Power_Orecpower(A). [resolve(192,b,168,b)].
% 4.42/4.66 2826 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Power_Orecpower(A). [resolve(226,a,198,b)].
% 4.42/4.66 2827 class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(227,a,198,b)].
% 4.42/4.66 2828 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Power_Orecpower(A). [resolve(262,b,236,b)].
% 4.42/4.66 2829 class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(263,b,236,b)].
% 4.42/4.66 2830 class_OrderedGroup_Osemigroup__add(A) | -class_Power_Orecpower(A). [resolve(356,b,335,b)].
% 4.42/4.66 2831 class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(357,b,335,b)].
% 4.42/4.66 2832 class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(403,a,402,b)].
% 4.42/4.66 2833 class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Power_Orecpower(A). [resolve(451,a,445,b)].
% 4.42/4.66 Derived: class_OrderedGroup_Ocomm__monoid__mult(tc_nat). [resolve(2833,b,2810,a)].
% 4.42/4.66 2834 class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(468,b,445,b)].
% 4.42/4.66 2835 class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(469,b,445,b)].
% 4.42/4.66 2836 class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(470,b,445,b)].
% 4.42/4.66 2837 class_OrderedGroup_Osemigroup__mult(A) | -class_Power_Orecpower(A). [resolve(561,b,538,b)].
% 4.42/4.66 2838 class_HOL_Otimes(A) | -class_Power_Orecpower(A). [resolve(562,b,538,b)].
% 4.42/4.66 2839 class_HOL_Oone(A) | -class_Power_Orecpower(A). [resolve(567,b,538,b)].
% 4.42/4.66 2840 class_HOL_Oplus(A) | -class_Power_Orecpower(A). [resolve(568,b,538,b)].
% 4.42/4.66 2841 class_HOL_Ozero(A) | -class_Power_Orecpower(A). [resolve(570,b,538,b)].
% 4.42/4.66 2842 -class_Power_Orecpower(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(656,a,571,a)].
% 4.42/4.66 2843 -class_Power_Orecpower(A) | class_HOL_Oplus(A). [resolve(667,a,578,a)].
% 4.42/4.66 2844 -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,B,A). [resolve(704,b,669,a)].
% 4.42/4.66 2845 class_Wellfounded__Recursion_Owellorder(tc_nat) # label(clsarity_nat_8) # label(axiom). [assumption].
% 4.42/4.66 2846 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(704,b,670,a)].
% 4.42/4.66 2847 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(704,b,671,a)].
% 4.42/4.66 2848 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(704,b,672,a)].
% 4.42/4.66 2849 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(704,b,673,a)].
% 4.42/4.66 2850 -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A). [resolve(704,b,674,a)].
% 4.42/4.66 2851 -c_lessequals(A,B,C) | -c_lessequals(D,A,C) | c_lessequals(D,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(705,a,704,b)].
% 4.42/4.66 2852 -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OatLeast(B,A) != c_SetInterval_OatLeast(C,A) | B = C. [resolve(727,b,707,a)].
% 4.42/4.66 2853 -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OatMost(B,A) != c_SetInterval_OatMost(C,A) | B = C. [resolve(727,b,708,a)].
% 4.42/4.66 2854 -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OgreaterThan(B,A) != c_SetInterval_OgreaterThan(C,A) | B = C. [resolve(727,b,709,a)].
% 4.42/4.66 2855 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OgreaterThan(B,A),c_SetInterval_OgreaterThan(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(727,b,710,a)].
% 4.52/4.72 2856 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OgreaterThan(C,A),c_SetInterval_OgreaterThan(B,A),tc_set(A)). [resolve(727,b,711,a)].
% 4.52/4.72 2857 -class_Wellfounded__Recursion_Owellorder(A) | c_SetInterval_OlessThan(B,A) != c_SetInterval_OlessThan(C,A) | B = C. [resolve(727,b,712,a)].
% 4.52/4.72 2858 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(727,b,713,a)].
% 4.52/4.72 2859 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OlessThan(B,A),c_SetInterval_OlessThan(C,A),tc_set(A)). [resolve(727,b,714,a)].
% 4.52/4.72 2860 -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OatLeast(C,A),A) | c_lessequals(C,B,A). [resolve(773,b,737,a)].
% 4.52/4.72 2861 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_in(C,c_SetInterval_OatLeast(B,A),A). [resolve(773,b,738,a)].
% 4.52/4.72 2862 -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OatMost(C,A),A) | c_lessequals(B,C,A). [resolve(773,b,739,a)].
% 4.52/4.72 2863 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_in(B,c_SetInterval_OatMost(C,A),A). [resolve(773,b,740,a)].
% 4.52/4.72 2864 -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OgreaterThan(C,A),A) | c_less(C,B,A). [resolve(773,b,741,a)].
% 4.52/4.72 2865 -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,C,A) | c_in(C,c_SetInterval_OgreaterThan(B,A),A). [resolve(773,b,742,a)].
% 4.52/4.72 2866 -class_Wellfounded__Recursion_Owellorder(A) | -c_in(B,c_SetInterval_OlessThan(C,A),A) | c_less(B,C,A). [resolve(773,b,743,a)].
% 4.52/4.72 2867 -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,C,A) | c_in(B,c_SetInterval_OlessThan(C,A),A). [resolve(773,b,744,a)].
% 4.52/4.72 2868 -class_Wellfounded__Recursion_Owellorder(A) | -c_less(B,B,A). [resolve(825,b,799,a)].
% 4.52/4.72 2869 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatLeast(B,A),c_SetInterval_OatLeast(C,A),tc_set(A)) | c_lessequals(C,B,A). [resolve(825,b,816,a)].
% 4.52/4.72 2870 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatLeast(C,A),c_SetInterval_OatLeast(B,A),tc_set(A)). [resolve(825,b,817,a)].
% 4.52/4.72 2871 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)) | c_lessequals(B,C,A). [resolve(825,b,818,a)].
% 4.52/4.72 2872 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | c_lessequals(c_SetInterval_OatMost(B,A),c_SetInterval_OatMost(C,A),tc_set(A)). [resolve(825,b,819,a)].
% 4.52/4.72 2873 -class_Wellfounded__Recursion_Owellorder(A) | c_lessequals(B,B,A). [resolve(825,b,820,a)].
% 4.52/4.72 2874 -class_Wellfounded__Recursion_Owellorder(A) | -c_lessequals(B,C,A) | -c_lessequals(D,B,A) | c_lessequals(D,C,A). [resolve(825,b,821,d)].
% 4.52/4.72 2875 -c_in(A,c_SetInterval_OatLeast(B,C),C) | c_lessequals(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(910,c,884,b)].
% 4.52/4.72 2876 -c_lessequals(A,B,C) | c_in(B,c_SetInterval_OatLeast(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(911,c,884,b)].
% 4.52/4.72 2877 -c_in(A,c_SetInterval_OatMost(B,C),C) | c_lessequals(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(912,c,884,b)].
% 4.52/4.72 2878 -c_lessequals(A,B,C) | c_in(A,c_SetInterval_OatMost(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(913,c,884,b)].
% 4.52/4.72 2879 -c_in(A,c_SetInterval_OgreaterThan(B,C),C) | c_less(B,A,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(914,c,884,b)].
% 4.52/4.72 2880 -c_less(A,B,C) | c_in(B,c_SetInterval_OgreaterThan(A,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(915,c,884,b)].
% 4.52/4.72 2881 -c_in(A,c_SetInterval_OlessThan(B,C),C) | c_less(A,B,C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(916,c,884,b)].
% 4.52/4.72 2882 -c_less(A,B,C) | c_in(A,c_SetInterval_OlessThan(B,C),C) | -class_Wellfounded__Recursion_Owellorder(C). [resolve(917,c,884,b)].
% 4.52/4.72 2883 -class_Ring__and__Field_Oordered__field(A) | class_Ring__and__Field_Ofield(A) # label(clsrel_Ring__and__Field_Oordered__field_0) # label(axiom). [assumption].
% 4.52/4.72 2884 -class_Ring__and__Field_Ofield(A) | class_Ring__and__Field_Ocomm__ring__1(A) # label(clsrel_Ring__and__Field_Ofield_0) # label(axiom). [assumption].
% 4.56/4.74 2885 -class_Ring__and__Field_Ofield(A) | class_HOL_Oone(A) # label(clsrel_Ring__and__Field_Ofield_13) # label(axiom). [assumption].
% 4.56/4.74 2886 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__mult(A) # label(clsrel_Ring__and__Field_Ofield_21) # label(axiom). [assumption].
% 4.56/4.74 2887 -class_Ring__and__Field_Ofield(A) | class_HOL_Otimes(A) # label(clsrel_Ring__and__Field_Ofield_22) # label(axiom). [assumption].
% 4.56/4.74 2888 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocomm__monoid__add(A) # label(clsrel_Ring__and__Field_Ofield_23) # label(axiom). [assumption].
% 4.56/4.74 2889 -class_Ring__and__Field_Ofield(A) | class_HOL_Ozero(A) # label(clsrel_Ring__and__Field_Ofield_24) # label(axiom). [assumption].
% 4.56/4.74 2890 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__add(A) # label(clsrel_Ring__and__Field_Ofield_28) # label(axiom). [assumption].
% 4.56/4.74 2891 -class_Ring__and__Field_Ofield(A) | class_HOL_Oplus(A) # label(clsrel_Ring__and__Field_Ofield_29) # label(axiom). [assumption].
% 4.56/4.74 2892 -class_Ring__and__Field_Ofield(A) | class_HOL_Oinverse(A) # label(clsrel_Ring__and__Field_Ofield_30) # label(axiom). [assumption].
% 4.56/4.74 2893 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Oab__group__add(A) # label(clsrel_Ring__and__Field_Ofield_4) # label(axiom). [assumption].
% 4.56/4.74 2894 -class_Ring__and__Field_Ofield(A) | class_HOL_Ominus(A) # label(clsrel_Ring__and__Field_Ofield_5) # label(axiom). [assumption].
% 4.56/4.74 2895 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Ocomm__monoid__mult(A) # label(clsrel_Ring__and__Field_Ofield_8) # label(axiom). [assumption].
% 4.56/4.74 2896 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(77,b,60,b)].
% 4.56/4.74 2897 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(78,b,60,b)].
% 4.56/4.74 2898 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(157,a,138,b)].
% 4.56/4.74 2899 class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(158,a,138,b)].
% 4.56/4.74 2900 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(189,b,179,b)].
% 4.56/4.74 2901 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(190,b,179,b)].
% 4.56/4.74 2902 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(226,a,205,b)].
% 4.56/4.74 2903 class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(227,a,205,b)].
% 4.56/4.74 2904 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(317,a,305,b)].
% 4.56/4.74 2905 class_HOL_Ominus(A) | -class_Ring__and__Field_Ofield(A). [resolve(318,a,305,b)].
% 4.56/4.74 2906 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(325,b,305,b)].
% 4.56/4.74 2907 class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(326,b,305,b)].
% 4.56/4.74 2908 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(327,b,305,b)].
% 4.56/4.74 2909 class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(328,b,305,b)].
% 4.56/4.74 2910 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(395,b,373,b)].
% 4.56/4.74 2911 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(396,b,373,b)].
% 4.56/4.74 2912 class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(431,a,424,b)].
% 4.56/4.74 2913 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(469,b,456,b)].
% 4.56/4.74 2914 class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(470,b,456,b)].
% 4.56/4.74 2915 class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(528,b,505,b)].
% 4.56/4.74 2916 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(531,b,505,b)].
% 4.56/4.74 2917 class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(532,b,505,b)].
% 4.56/4.74 2918 -class_Ring__and__Field_Ofield(A) | class_OrderedGroup_Osemigroup__add(A). [resolve(662,a,571,a)].
% 4.56/4.74 2919 class_Ring__and__Field_Ocomm__ring__1(A) | -class_Ring__and__Field_Ofield(A). [resolve(2516,a,2518,b)].
% 4.56/4.74 2920 class_OrderedGroup_Ocomm__monoid__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(2528,a,2518,b)].
% 4.63/4.85 2921 class_OrderedGroup_Oab__group__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2539,b,2518,b)].
% 4.63/4.85 2922 class_HOL_Ominus(A) | -class_Ring__and__Field_Ofield(A). [resolve(2540,b,2518,b)].
% 4.63/4.85 2923 class_OrderedGroup_Osemigroup__mult(A) | -class_Ring__and__Field_Ofield(A). [resolve(2541,b,2518,b)].
% 4.63/4.85 2924 class_HOL_Otimes(A) | -class_Ring__and__Field_Ofield(A). [resolve(2542,b,2518,b)].
% 4.63/4.85 2925 class_OrderedGroup_Ocomm__monoid__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2543,b,2518,b)].
% 4.63/4.85 2926 class_HOL_Oone(A) | -class_Ring__and__Field_Ofield(A). [resolve(2550,b,2518,b)].
% 4.63/4.85 2927 class_HOL_Oplus(A) | -class_Ring__and__Field_Ofield(A). [resolve(2551,b,2518,b)].
% 4.63/4.85 2928 class_HOL_Ozero(A) | -class_Ring__and__Field_Ofield(A). [resolve(2552,b,2518,b)].
% 4.63/4.85 2929 class_OrderedGroup_Osemigroup__add(A) | -class_Ring__and__Field_Ofield(A). [resolve(2553,a,2518,b)].
% 4.63/4.85
% 4.63/4.85 ============================== end predicate elimination =============
% 4.63/4.85
% 4.63/4.85 Auto_denials: (non-Horn, no changes).
% 4.63/4.85
% 4.63/4.85 Term ordering decisions:
% 4.63/4.85 Function symbol KB weights: tc_IntDef_Oint=1. tc_nat=1. t_a=1. c_0=1. c_List_Olist_ONil=1. c_Finite__Set_OFinites=1. c_emptyset=1. c_Wellfounded__Relations_Oless__than=1. c_1=1. c_Relation_OId=1. c_Datatype_Ooption_ONone=1. c_UNIV=1. tc_Product__Type_Ounit=1. tc_bool=1. v_c=1. c_Extraction_Osumbool_OLeft=1. c_Extraction_Osumbool_ORight=1. c_Numeral_Obit_OB0=1. c_Numeral_Obit_OB1=1. v_x=1. c_SetInterval_OatMost=1. c_SetInterval_OatLeast=1. tc_Datatype__Universe_Onode=1. c_SetInterval_OlessThan=1. c_SetInterval_OgreaterThan=1. tc_prod=1. tc_fun=1. c_List_Olists=1. c_uminus=1. c_HOL_Oabs=1. c_List_Olistrel=1. c_List_Orev=1. c_Nat_Osize=1. c_List_Oset=1. tc_sum=1. c_Datatype_Ooption_OSome=1. c_List_Oremdups=1. c_Transitive__Closure_Ortrancl=1. c_Union=1. c_List_Ochar_OChar=1. c_Pow=1. c_Inter=1. c_Relation_Odiag=1. c_Datatype_Oo2s=1. c_Main_OIdE__1=1. c_Main_Ofinite__Union__1=1. c_Transitive__Closure_Otrancl=1. c_List_Olenlex=1. c_List_Olex=1. c_Main_Omod__eq__0D__dest__1=1. c_Main_Onot__None__eq__iff1__1=1. c_Main_Onot__Some__eq__iff1__1=1. c_Main_Ozmod__eq__0D__dest__1=1. tc_set=1. tc_List_Olist=1. c_Suc=1. c_IntDef_Oint=1. c_GCD_Ogcd=1. tc_Datatype_Ooption=1. v_f=1. v_h=1. c_times=1. c_insert=1. c_append=1. c_List_Olist_OCons=1. c_plus=1. c_Datatype__Universe_OIn0=1. c_Datatype__Universe_OIn1=1. c_union=1. c_Relation_Oconverse=1. c_minus=1. c_SetsAndFunctions_Oelt__set__plus=1. c_SetsAndFunctions_Oelt__set__times=1. c_Sum__Type_OInl=1. c_Sum__Type_OInr=1. c_inter=1. c_Equiv__Relations_Oquotient=1. c_Main_OdiagE__1=1. c_Datatype__Universe_OAtom=1. c_Datatype__Universe_OLeaf=1. c_Datatype__Universe_ONumb=1. c_Divides_Oop_Amod=1. c_Main_OInterI__1=1. c_Main_OUnionE__1=1. c_Main_Oin__listsI__1=1. c_Main_OsubsetI__1=1. c_Relation_ODomain=1. c_Relation_ORange=1. c_SetInterval_OatLeastAtMost=1. c_SetInterval_OatLeastLessThan=1. c_SetInterval_OgreaterThanAtMost=1. c_SetInterval_OgreaterThanLessThan=1. c_Pair=1. c_Datatype__Universe_OScons=1. c_Datatype__Universe_Odsum=1. c_Datatype__Universe_Ousum=1. c_Sum__Type_OPlus=1. c_Relation_OImage=1. c_Datatype__Universe_Odprod=1. c_Datatype__Universe_Ouprod=1. c_Main_OPlusE__1=1. c_Main_OPlusE__2=1. c_Main_OdsumE__1=1. c_Main_OdsumE__2=1. c_Main_OdsumE__3=1. c_Main_OdsumE__4=1. c_Main_OusumE__1=1. c_Main_OusumE__2=1. c_Main_OconverseE__1=1. c_Main_OconverseE__2=1. c_Wellfounded__Relations_Olex__prod=1. c_Main_ODomainE__1=1. c_Main_ORangeE__1=1. c_Relation_Orel__comp=1. c_Main_OImageE__1=1. c_Main_OdprodE__1=1. c_Main_OdprodE__2=1. c_Main_OdprodE__3=1. c_Main_OdprodE__4=1. c_Main_Olistrel__Cons1__1=1. c_Main_Olistrel__Cons1__2=1. c_Main_Olistrel__Cons2__1=1. c_Main_Olistrel__Cons2__2=1. c_Main_OuprodE__1=1. c_Main_OuprodE__2=1. c_Main_Orel__compE__1=1. c_Main_Orel__compE__2=1. c_Main_Orel__compE__3=1.
% 4.63/4.85
% 4.63/4.85 ============================== end of process initial clauses ========
% 4.63/4.85
% 4.63/4.85 ============================== CLAUSES FOR SEARCH ====================
% 4.63/4.85
% 4.63/4.85 ============================== end of clauses for search =============
% 4.63/4.85
% 4.63/4.85 ============================== SEARCH ================================
% 4.63/4.85
% 4.63/4.85 % StCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------