TSTP Solution File: ALG349-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG349-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n025.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 17:54:31 EDT 2022
% Result : Unsatisfiable 33.04s 33.34s
% Output : Refutation 33.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG349-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 8 08:48:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.78/1.16 ============================== Prover9 ===============================
% 0.78/1.16 Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.16 Process 22525 was started by sandbox2 on n025.cluster.edu,
% 0.78/1.16 Wed Jun 8 08:48:20 2022
% 0.78/1.16 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22372_n025.cluster.edu".
% 0.78/1.16 ============================== end of head ===========================
% 0.78/1.16
% 0.78/1.16 ============================== INPUT =================================
% 0.78/1.16
% 0.78/1.16 % Reading from file /tmp/Prover9_22372_n025.cluster.edu
% 0.78/1.16
% 0.78/1.16 set(prolog_style_variables).
% 0.78/1.16 set(auto2).
% 0.78/1.16 % set(auto2) -> set(auto).
% 0.78/1.16 % set(auto) -> set(auto_inference).
% 0.78/1.16 % set(auto) -> set(auto_setup).
% 0.78/1.16 % set(auto_setup) -> set(predicate_elim).
% 0.78/1.16 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.16 % set(auto) -> set(auto_limits).
% 0.78/1.16 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.16 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.16 % set(auto) -> set(auto_denials).
% 0.78/1.16 % set(auto) -> set(auto_process).
% 0.78/1.16 % set(auto2) -> assign(new_constants, 1).
% 0.78/1.16 % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.16 % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.16 % set(auto2) -> assign(max_hours, 1).
% 0.78/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.16 % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.16 % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.16 % set(auto2) -> set(sort_initial_sos).
% 0.78/1.16 % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.16 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.16 % set(auto2) -> assign(max_megs, 400).
% 0.78/1.16 % set(auto2) -> assign(stats, some).
% 0.78/1.16 % set(auto2) -> clear(echo_input).
% 0.78/1.16 % set(auto2) -> set(quiet).
% 0.78/1.16 % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.16 % set(auto2) -> clear(print_given).
% 0.78/1.16 assign(lrs_ticks,-1).
% 0.78/1.16 assign(sos_limit,10000).
% 0.78/1.16 assign(order,kbo).
% 0.78/1.16 set(lex_order_vars).
% 0.78/1.16 clear(print_given).
% 0.78/1.16
% 0.78/1.16 % formulas(sos). % not echoed (394 formulas)
% 0.78/1.16
% 0.78/1.16 ============================== end of input ==========================
% 0.78/1.16
% 0.78/1.16 % From the command line: assign(max_seconds, 300).
% 0.78/1.16
% 0.78/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.16
% 0.78/1.16 % Formulas that are not ordinary clauses:
% 0.78/1.16
% 0.78/1.16 ============================== end of process non-clausal formulas ===
% 0.78/1.16
% 0.78/1.16 ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.16
% 0.78/1.16 ============================== PREDICATE ELIMINATION =================
% 0.78/1.16 1 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) # label(axiom). [assumption].
% 0.78/1.16 2 -class_OrderedGroup_Olordered__ab__group__add(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)),A) # label(cls_sup__eq__neg__inf_0) # label(axiom). [assumption].
% 0.78/1.16 3 -class_OrderedGroup_Olordered__ab__group__add(A) | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)) # label(cls_neg__sup__eq__inf_0) # label(axiom). [assumption].
% 0.78/1.16 4 -class_OrderedGroup_Olordered__ab__group__add(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)),A) # label(cls_inf__eq__neg__sup_0) # label(axiom). [assumption].
% 0.78/1.16 5 -class_OrderedGroup_Olordered__ab__group__add(A) | c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_HOL_Ouminus__class_Ouminus(B,A)),c_HOL_Ouminus__class_Ouminus(C,A)) # label(cls_neg__inf__eq__sup_0) # label(axiom). [assumption].
% 0.78/1.16 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(1,a,2,a)].
% 0.78/1.17 Derived: c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B),tc_RealDef_Oreal) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal)). [resolve(1,a,3,a)].
% 0.78/1.17 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B) = c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal)),tc_RealDef_Oreal). [resolve(1,a,4,a)].
% 0.78/1.17 Derived: c_HOL_Ouminus__class_Ouminus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B),tc_RealDef_Oreal) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal)). [resolve(1,a,5,a)].
% 0.78/1.17 6 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) # label(axiom). [assumption].
% 0.78/1.17 7 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(B,A) != c_HOL_Ouminus__class_Ouminus(C,A) | B = C # label(cls_neg__equal__iff__equal_0) # label(axiom). [assumption].
% 0.78/1.17 8 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__equation__iff_1) # label(axiom). [assumption].
% 0.78/1.17 9 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_1) # label(axiom). [assumption].
% 0.78/1.17 10 -class_OrderedGroup_Ogroup__add(A) | B = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_equation__minus__iff_0) # label(axiom). [assumption].
% 0.78/1.17 11 -class_OrderedGroup_Ogroup__add(A) | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A) = B # label(cls_minus__minus_0) # label(axiom). [assumption].
% 0.78/1.17 Derived: c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal) | A = B. [resolve(6,a,7,a)].
% 0.78/1.17 Derived: c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal) = A. [resolve(6,a,8,a)].
% 0.78/1.17 Derived: A = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(6,a,9,a)].
% 0.78/1.17 12 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) # label(axiom). [assumption].
% 0.78/1.17 13 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,C,A) | -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_neg__le__iff__le_0) # label(axiom). [assumption].
% 0.78/1.17 14 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A) | -c_lessequals(C,B,A) # label(cls_le__imp__neg__le_0) # label(axiom). [assumption].
% 0.78/1.17 15 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A) | -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A) # label(cls_minus__le__iff_1) # label(axiom). [assumption].
% 0.78/1.17 16 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(c_HOL_Ouminus__class_Ouminus(B,A),C,A) | -c_lessequals(c_HOL_Ouminus__class_Ouminus(C,A),B,A) # label(cls_minus__le__iff_0) # label(axiom). [assumption].
% 0.78/1.17 17 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A) | -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_le__minus__iff_1) # label(axiom). [assumption].
% 0.78/1.17 18 -class_OrderedGroup_Opordered__ab__group__add(A) | c_lessequals(B,c_HOL_Ouminus__class_Ouminus(C,A),A) | -c_lessequals(C,c_HOL_Ouminus__class_Ouminus(B,A),A) # label(cls_le__minus__iff_0) # label(axiom). [assumption].
% 0.78/1.17 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(12,a,13,a)].
% 0.84/1.18 Derived: c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_lessequals(B,A,tc_RealDef_Oreal). [resolve(12,a,14,a)].
% 0.84/1.18 Derived: c_lessequals(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | -c_lessequals(c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),A,tc_RealDef_Oreal). [resolve(12,a,15,a)].
% 0.84/1.18 Derived: c_lessequals(A,c_HOL_Ouminus__class_Ouminus(B,tc_RealDef_Oreal),tc_RealDef_Oreal) | -c_lessequals(B,c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(12,a,17,a)].
% 0.84/1.18 19 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.84/1.18 20 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),C,D,A,A),A) | -hBOOL(c_in(B,D,A)) | -c_Finite__Set_Ofinite(D,A) # label(cls_sup__le__fold__sup_0) # label(axiom). [assumption].
% 0.84/1.18 21 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.84/1.18 22 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.84/1.18 23 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.84/1.18 24 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.84/1.18 25 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.84/1.18 26 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.84/1.18 27 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B) = B # label(cls_sup__idem_0) # label(axiom). [assumption].
% 0.84/1.18 28 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)) # label(cls_sup__left__commute_0) # label(axiom). [assumption].
% 0.84/1.18 29 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)) # label(cls_sup__assoc_0) # label(axiom). [assumption].
% 0.84/1.18 30 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.84/1.18 31 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.84/1.18 32 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.84/1.18 33 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 0.84/1.18 34 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 0.84/1.18 35 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.84/1.18 36 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 0.84/1.18 37 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.84/1.18 38 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.84/1.18 39 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D,E,tc_fun(B,A),tc_fun(B,A)),tc_fun(B,A)) | -hBOOL(c_in(C,E,tc_fun(B,A))) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(19,a,20,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,A)),B),E),C,tc_fun(D,A)). [resolve(19,a,21,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,A)),E),B),C,tc_fun(D,A)). [resolve(19,a,22,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,D,tc_fun(C,A)). [resolve(19,a,23,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,E,tc_fun(C,A)). [resolve(19,a,24,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(19,a,27,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),E)). [resolve(19,a,28,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D)),E) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E)). [resolve(19,a,29,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),C). [resolve(19,a,30,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D). [resolve(19,a,31,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(D,E,tc_fun(B,A)) | -c_lessequals(C,E,tc_fun(B,A)). [resolve(19,a,32,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),B),D),tc_fun(C,A)). [resolve(19,a,33,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),B),tc_fun(C,A)). [resolve(19,a,34,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = D | -c_lessequals(C,D,tc_fun(B,A)). [resolve(19,a,37,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) != D | c_lessequals(C,D,tc_fun(B,A)). [resolve(19,a,38,a)].
% 0.84/1.18 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = C | -c_lessequals(D,C,tc_fun(B,A)). [resolve(19,a,39,a)].
% 0.84/1.18 40 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.84/1.18 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B,C,tc_bool,tc_bool),tc_bool) | -hBOOL(c_in(A,C,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(40,a,20,a)].
% 0.84/1.18 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),C),B,tc_bool). [resolve(40,a,21,a)].
% 0.84/1.18 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),C),A),B,tc_bool). [resolve(40,a,22,a)].
% 0.84/1.18 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(40,a,23,a)].
% 0.84/1.18 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(40,a,24,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(40,a,27,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),C)). [resolve(40,a,28,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B)),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C)). [resolve(40,a,29,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A). [resolve(40,a,30,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B). [resolve(40,a,31,a)].
% 0.84/1.18 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(40,a,32,a)].
% 0.84/1.18 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(40,a,33,a)].
% 0.84/1.18 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(40,a,34,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -c_lessequals(A,B,tc_bool). [resolve(40,a,37,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | c_lessequals(A,B,tc_bool). [resolve(40,a,38,a)].
% 0.84/1.18 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -c_lessequals(B,A,tc_bool). [resolve(40,a,39,a)].
% 0.84/1.18 41 class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.84/1.18 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B,C,tc_RealDef_Oreal,tc_RealDef_Oreal),tc_RealDef_Oreal) | -hBOOL(c_in(A,C,tc_RealDef_Oreal)) | -c_Finite__Set_Ofinite(C,tc_RealDef_Oreal). [resolve(41,a,20,a)].
% 0.84/1.19 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),C),B,tc_RealDef_Oreal). [resolve(41,a,21,a)].
% 0.84/1.19 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),C),A),B,tc_RealDef_Oreal). [resolve(41,a,22,a)].
% 0.84/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),C),tc_RealDef_Oreal) | -c_lessequals(A,B,tc_RealDef_Oreal). [resolve(41,a,23,a)].
% 0.84/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),C),tc_RealDef_Oreal) | -c_lessequals(A,C,tc_RealDef_Oreal). [resolve(41,a,24,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),A) = A. [resolve(41,a,27,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),C)). [resolve(41,a,28,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),C)). [resolve(41,a,29,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),A). [resolve(41,a,30,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B). [resolve(41,a,31,a)].
% 0.84/1.19 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B),C,tc_RealDef_Oreal) | -c_lessequals(B,C,tc_RealDef_Oreal) | -c_lessequals(A,C,tc_RealDef_Oreal). [resolve(41,a,32,a)].
% 0.84/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B),tc_RealDef_Oreal). [resolve(41,a,33,a)].
% 0.84/1.19 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),B),A),tc_RealDef_Oreal). [resolve(41,a,34,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B) = B | -c_lessequals(A,B,tc_RealDef_Oreal). [resolve(41,a,37,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B) != B | c_lessequals(A,B,tc_RealDef_Oreal). [resolve(41,a,38,a)].
% 0.84/1.19 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_RealDef_Oreal),A),B) = A | -c_lessequals(B,A,tc_RealDef_Oreal). [resolve(41,a,39,a)].
% 0.84/1.19 42 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.84/1.19 43 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A) | -hBOOL(c_in(C,B,A)) | -c_Finite__Set_Ofinite(B,A) # label(cls_fold1__belowI_0) # label(axiom). [assumption].
% 0.84/1.19 44 -class_Lattices_Olower__semilattice(A) | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),B,C,A,A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),B),A) | -hBOOL(c_in(D,C,A)) | -c_Finite__Set_Ofinite(C,A) # label(cls_fold__inf__le__inf_0) # label(axiom). [assumption].
% 0.84/1.19 45 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A) # label(cls_inf__le1_0) # label(axiom). [assumption].
% 0.84/1.19 46 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A) # label(cls_inf__le2_0) # label(axiom). [assumption].
% 0.84/1.19 47 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__infI_0) # label(axiom). [assumption].
% 0.84/1.19 48 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_le__inf__iff_2) # label(axiom). [assumption].
% 0.84/1.19 49 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) | -c_lessequals(B,D,A) | -c_lessequals(B,C,A) # label(cls_inf__greatest_0) # label(axiom). [assumption].
% 0.84/1.19 50 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -hBOOL(c_in(C,D,A)) | -c_lessequals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A) | D = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(D,A) # label(cls_below__fold1__iff_0) # label(axiom). [assumption].
% 0.84/1.19 51 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)) # label(cls_inf__left__commute_0) # label(axiom). [assumption].
% 0.84/1.19 52 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)) # label(cls_inf__assoc_0) # label(axiom). [assumption].
% 0.84/1.19 53 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = C | -c_lessequals(C,B,A) # label(cls_inf__absorb2_0) # label(axiom). [assumption].
% 0.84/1.19 54 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) != B | c_lessequals(B,C,A) # label(cls_le__iff__inf_1) # label(axiom). [assumption].
% 0.84/1.19 55 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = B | -c_lessequals(B,C,A) # label(cls_le__iff__inf_0) # label(axiom). [assumption].
% 0.84/1.19 56 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B) # label(cls_inf__commute_0) # label(axiom). [assumption].
% 0.84/1.19 57 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) # label(cls_le__infE_0) # label(axiom). [assumption].
% 0.84/1.19 58 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A) # label(cls_le__infE_1) # label(axiom). [assumption].
% 0.84/1.19 59 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_lessequals(B,D,A) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 0.84/1.19 60 -class_Lattices_Olower__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_lessequals(C,D,A) # label(cls_le__infI2_0) # label(axiom). [assumption].
% 0.84/1.19 61 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 0.84/1.19 62 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A) # label(cls_le__inf__iff_1) # label(axiom). [assumption].
% 0.84/1.19 63 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) # label(cls_inf__left__idem_0) # label(axiom). [assumption].
% 0.84/1.19 64 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,tc_fun(B,A)),D,tc_fun(B,A)) | -hBOOL(c_in(D,C,tc_fun(B,A))) | -c_Finite__Set_Ofinite(C,tc_fun(B,A)). [resolve(42,a,43,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,D,tc_fun(B,A),tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),E),C),tc_fun(B,A)) | -hBOOL(c_in(E,D,tc_fun(B,A))) | -c_Finite__Set_Ofinite(D,tc_fun(B,A)). [resolve(42,a,44,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),C,tc_fun(B,A)). [resolve(42,a,45,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),D,tc_fun(B,A)). [resolve(42,a,46,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_lessequals(B,E,tc_fun(C,A)) | -c_lessequals(B,D,tc_fun(C,A)). [resolve(42,a,47,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -hBOOL(c_in(C,E,tc_fun(D,A))) | -c_lessequals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),E,tc_fun(D,A)),tc_fun(D,A)) | E = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(D,A),tc_bool)) | -c_Finite__Set_Ofinite(E,tc_fun(D,A)). [resolve(42,a,50,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),E)). [resolve(42,a,51,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E)). [resolve(42,a,52,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = D | -c_lessequals(D,C,tc_fun(B,A)). [resolve(42,a,53,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) != C | c_lessequals(C,D,tc_fun(B,A)). [resolve(42,a,54,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = C | -c_lessequals(C,D,tc_fun(B,A)). [resolve(42,a,55,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),C). [resolve(42,a,56,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),C),E),tc_fun(D,A)). [resolve(42,a,57,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,A)),E),C),tc_fun(D,A)). [resolve(42,a,58,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(C,E,tc_fun(B,A)). [resolve(42,a,59,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_lessequals(D,E,tc_fun(B,A)). [resolve(42,a,60,a)].
% 0.84/1.19 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D). [resolve(42,a,63,a)].
% 0.84/1.20 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(42,a,64,a)].
% 0.84/1.20 65 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.84/1.20 Derived: c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,tc_bool),B,tc_bool) | -hBOOL(c_in(B,A,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_bool). [resolve(65,a,43,a)].
% 0.84/1.20 Derived: c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,B,tc_bool,tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C),A),tc_bool) | -hBOOL(c_in(C,B,tc_bool)) | -c_Finite__Set_Ofinite(B,tc_bool). [resolve(65,a,44,a)].
% 0.84/1.20 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),A,tc_bool). [resolve(65,a,45,a)].
% 0.84/1.20 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),B,tc_bool). [resolve(65,a,46,a)].
% 0.84/1.20 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C),tc_bool) | -c_lessequals(A,C,tc_bool) | -c_lessequals(A,B,tc_bool). [resolve(65,a,47,a)].
% 0.84/1.20 Derived: c_lessequals(A,B,tc_bool) | -hBOOL(c_in(B,C,tc_bool)) | -c_lessequals(A,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C,tc_bool),tc_bool) | C = c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(65,a,50,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),C)). [resolve(65,a,51,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C)). [resolve(65,a,52,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = B | -c_lessequals(B,A,tc_bool). [resolve(65,a,53,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) != A | c_lessequals(A,B,tc_bool). [resolve(65,a,54,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = A | -c_lessequals(A,B,tc_bool). [resolve(65,a,55,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),A). [resolve(65,a,56,a)].
% 0.84/1.20 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C),tc_bool). [resolve(65,a,57,a)].
% 0.84/1.20 Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C),B),tc_bool). [resolve(65,a,58,a)].
% 0.84/1.20 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_lessequals(A,C,tc_bool). [resolve(65,a,59,a)].
% 0.84/1.20 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_lessequals(B,C,tc_bool). [resolve(65,a,60,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B). [resolve(65,a,63,a)].
% 0.84/1.20 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(65,a,64,a)].
% 0.84/1.20 66 class_Lattices_Olower__semilattice(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 0.84/1.20 Derived: c_lessequals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A,tc_RealDef_Oreal),B,tc_RealDef_Oreal) | -hBOOL(c_in(B,A,tc_RealDef_Oreal)) | -c_Finite__Set_Ofinite(A,tc_RealDef_Oreal). [resolve(66,a,43,a)].
% 0.84/1.20 Derived: c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A,B,tc_RealDef_Oreal,tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),C),A),tc_RealDef_Oreal) | -hBOOL(c_in(C,B,tc_RealDef_Oreal)) | -c_Finite__Set_Ofinite(B,tc_RealDef_Oreal). [resolve(66,a,44,a)].
% 0.84/1.21 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B),A,tc_RealDef_Oreal). [resolve(66,a,45,a)].
% 0.84/1.21 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B),B,tc_RealDef_Oreal). [resolve(66,a,46,a)].
% 0.84/1.21 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),C),tc_RealDef_Oreal) | -c_lessequals(A,C,tc_RealDef_Oreal) | -c_lessequals(A,B,tc_RealDef_Oreal). [resolve(66,a,47,a)].
% 0.84/1.21 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -hBOOL(c_in(B,C,tc_RealDef_Oreal)) | -c_lessequals(A,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),C,tc_RealDef_Oreal),tc_RealDef_Oreal) | C = c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_RealDef_Oreal). [resolve(66,a,50,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),C)). [resolve(66,a,51,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B)),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),C)). [resolve(66,a,52,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B) = B | -c_lessequals(B,A,tc_RealDef_Oreal). [resolve(66,a,53,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B) != A | c_lessequals(A,B,tc_RealDef_Oreal). [resolve(66,a,54,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B) = A | -c_lessequals(A,B,tc_RealDef_Oreal). [resolve(66,a,55,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),A). [resolve(66,a,56,a)].
% 0.84/1.21 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),B),C),tc_RealDef_Oreal). [resolve(66,a,57,a)].
% 0.84/1.21 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),C),B),tc_RealDef_Oreal). [resolve(66,a,58,a)].
% 0.84/1.21 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B),C,tc_RealDef_Oreal) | -c_lessequals(A,C,tc_RealDef_Oreal). [resolve(66,a,59,a)].
% 0.84/1.21 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B),C,tc_RealDef_Oreal) | -c_lessequals(B,C,tc_RealDef_Oreal). [resolve(66,a,60,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),B). [resolve(66,a,63,a)].
% 0.84/1.21 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_RealDef_Oreal),A),A) = A. [resolve(66,a,64,a)].
% 0.84/1.21 67 class_RealVector_Otopological__space(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Otopological__space) # label(axiom). [assumption].
% 0.84/1.21 68 -class_RealVector_Otopological__space(A) | c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A) | -c_RealVector_Otopological__space__class_Oclosed(C,A) | -c_RealVector_Otopological__space__class_Oclosed(B,A) # label(cls_closed__Int_0) # label(axiom). [assumption].
% 0.84/1.21 69 -class_RealVector_Otopological__space(A) | c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A) # label(cls_closed__empty_0) # label(axiom). [assumption].
% 0.84/1.21 70 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),C)) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),B)) # label(cls_open__Un_0) # label(axiom). [assumption].
% 0.84/1.21 71 -class_RealVector_Otopological__space(A) | c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(A),A) # label(cls_topological__space__class_Oaxioms_0) # label(axiom). [assumption].
% 0.84/1.21 72 -class_RealVector_Otopological__space(A) | c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A) | -c_RealVector_Otopological__space__class_Oclosed(C,A) | -c_RealVector_Otopological__space__class_Oclosed(B,A) # label(cls_closed__Un_0) # label(axiom). [assumption].
% 0.84/1.21 73 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))) # label(cls_open__empty_0) # label(axiom). [assumption].
% 0.84/1.21 74 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),C)) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),B)) # label(cls_open__Int_0) # label(axiom). [assumption].
% 0.84/1.21 75 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))) # label(cls_open__UNIV_0) # label(axiom). [assumption].
% 0.84/1.21 76 -class_RealVector_Otopological__space(A) | c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),A) # label(cls_closed__UNIV_0) # label(axiom). [assumption].
% 0.84/1.21 Derived: c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_RealDef_Oreal,tc_bool)),A),B),tc_RealDef_Oreal) | -c_RealVector_Otopological__space__class_Oclosed(B,tc_RealDef_Oreal) | -c_RealVector_Otopological__space__class_Oclosed(A,tc_RealDef_Oreal). [resolve(67,a,68,a)].
% 0.84/1.21 Derived: c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)),tc_RealDef_Oreal). [resolve(67,a,69,a)].
% 0.84/1.21 Derived: hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),A),B))) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B)) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),A)). [resolve(67,a,70,a)].
% 0.84/1.21 Derived: c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(67,a,71,a)].
% 0.84/1.21 Derived: c_RealVector_Otopological__space__class_Oclosed(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),A),B),tc_RealDef_Oreal) | -c_RealVector_Otopological__space__class_Oclosed(B,tc_RealDef_Oreal) | -c_RealVector_Otopological__space__class_Oclosed(A,tc_RealDef_Oreal). [resolve(67,a,72,a)].
% 0.84/1.21 Derived: hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)))). [resolve(67,a,73,a)].
% 0.84/1.21 Derived: hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_RealDef_Oreal,tc_bool)),A),B))) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B)) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),A)). [resolve(67,a,74,a)].
% 0.84/1.21 Derived: hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))). [resolve(67,a,75,a)].
% 0.84/1.21 Derived: c_RealVector_Otopological__space__class_Oclosed(c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)),tc_RealDef_Oreal). [resolve(67,a,76,a)].
% 0.84/1.28 77 -class_HOL_Oord(A) | c_Lubs_Osetle(B,C,A) | -c_Lubs_OisLub(D,B,C,A) # label(cls_isLubD1_0) # label(axiom). [assumption].
% 0.84/1.28 78 -class_HOL_Oord(A) | hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D)) | -hBOOL(c_in(D,B,A)) | -c_Lubs_Osetle(C,D,A) # label(cls_isUbI_0) # label(axiom). [assumption].
% 0.84/1.28 79 -class_HOL_Oord(A) | hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D)) | -hBOOL(c_in(D,B,A)) | -c_Lubs_Osetle(C,D,A) # label(cls_isUb__def_2) # label(axiom). [assumption].
% 0.84/1.28 Derived: -class_HOL_Oord(A) | -c_Lubs_OisLub(B,C,D,A) | -class_HOL_Oord(A) | hBOOL(hAPP(c_Lubs_OisUb(E,C,A),D)) | -hBOOL(c_in(D,E,A)). [resolve(77,b,78,d)].
% 0.84/1.28 80 -class_HOL_Oord(A) | c_lessequals(B,C,A) | -hBOOL(c_in(B,D,A)) | -c_Lubs_Osetle(D,C,A) # label(cls_setle__def_0) # label(axiom). [assumption].
% 0.84/1.28 Derived: -class_HOL_Oord(A) | c_lessequals(B,C,A) | -hBOOL(c_in(B,D,A)) | -class_HOL_Oord(A) | -c_Lubs_OisLub(E,D,C,A). [resolve(80,d,77,b)].
% 0.84/1.28 81 -class_HOL_Oord(A) | c_lessequals(B,C,A) | -hBOOL(c_in(B,D,A)) | -c_Lubs_Osetle(D,C,A) # label(cls_setleD_0) # label(axiom). [assumption].
% 0.84/1.28 82 -class_HOL_Oord(A) | c_Lubs_Osetle(B,C,A) | -hBOOL(hAPP(c_Lubs_OisUb(D,B,A),C)) # label(cls_isUbD2_0) # label(axiom). [assumption].
% 0.84/1.28 Derived: -class_HOL_Oord(A) | -hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D)) | -class_HOL_Oord(A) | hBOOL(hAPP(c_Lubs_OisUb(E,C,A),D)) | -hBOOL(c_in(D,E,A)). [resolve(82,b,78,d)].
% 0.84/1.28 Derived: -class_HOL_Oord(A) | -hBOOL(hAPP(c_Lubs_OisUb(B,C,A),D)) | -class_HOL_Oord(A) | c_lessequals(E,D,A) | -hBOOL(c_in(E,C,A)). [resolve(82,b,80,d)].
% 0.84/1.28 83 c_RealVector_Otopological__space(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),tc_RealDef_Oreal). [resolve(67,a,71,a)].
% 0.84/1.28 84 hBOOL(hAPP(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D))) | -hBOOL(hAPP(A,D)) | -hBOOL(hAPP(A,C)) | -c_RealVector_Otopological__space(A,B) # label(cls_topological__space_Oopen__Int_0) # label(axiom). [assumption].
% 0.84/1.28 85 hBOOL(hAPP(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D))) | -hBOOL(hAPP(A,D)) | -hBOOL(hAPP(A,C)) | -c_RealVector_Otopological__space(A,B) # label(cls_topological__space_Oopen__Un_0) # label(axiom). [assumption].
% 0.84/1.28 86 hBOOL(hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))) | -c_RealVector_Otopological__space(A,B) # label(cls_topological__space_Oopen__empty_0) # label(axiom). [assumption].
% 0.84/1.28 87 hBOOL(hAPP(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)))) | -c_RealVector_Otopological__space(A,B) # label(cls_topological__space_Oopen__UNIV_0) # label(axiom). [assumption].
% 0.84/1.28 Derived: hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_RealDef_Oreal,tc_bool)),A),B))) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B)) | -hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),A)). [resolve(83,a,85,d)].
% 0.84/1.28 88 class_Orderings_Olinorder(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__Orderings_Olinorder) # label(axiom). [assumption].
% 0.84/1.28 89 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.84/1.28 Derived: c_lessequals(A,B,tc_RealDef_Oreal) | c_lessequals(B,A,tc_RealDef_Oreal). [resolve(88,a,89,a)].
% 0.84/1.28 90 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom). [assumption].
% 0.84/1.28 91 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom). [assumption].
% 0.84/1.28 Derived: A = A. [resolve(90,b,91,a)].
% 0.84/1.28
% 0.84/1.28 ============================== end predicate elimination =============
% 0.84/1.28
% 0.84/1.28 Auto_denials: (non-Horn, no changes).
% 0.84/1.28
% 0.84/1.28 Term ordering decisions:
% 0.84/1.28 Function symbol KB weights: tc_bool=1. tc_RealDef_Oreal=1. v_x=1. v_P=1. t_a=1. c_Not=1. c_True=1. v_x____=1. hAPP=1. tc_fun=1. c_HOL_Ouminus__class_Ouminus=1. c_Collect=1. c_Complete__Lattice_OSup__class_OSup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Orderings_Obot__class_Obot=1. c_Orderings_Otop__class_Otop=1. c_RealVector_Oopen__class_Oopen=1. c_COMBI=1. c_Deriv_Osko__Deriv__Xlemma__reals__complete__1__1=1. c_RComplete_Osko__RComplete__Xreals__complete__1__1=1. v_sko__local__Xassms__1__1=1. v_sko__local__Xex__1=1. v_sko__local__Xthx__1=1. c_in=1. c_Lubs_OisUb=1. c_Finite__Set_Ofold1=1. c_COMBK=1. c_ATP__Linkup_Osko__Set__XCollect__cong__1__1=1. c_Lubs_Oubs=1. c_SEQ_Osko__SEQ__XisUb__UNIV__I__1__1=1. c_Set_Oimage=1. c_Set_Ovimage=1. c_ATP__Linkup_Osko__Set__XInt__Collect__mono__1__1=1. c_Finite__Set_Ofold=1. c_COMBB=1.
% 31.71/31.98
% 31.71/31.98 ============================== end of process initial clauses ========
% 31.71/31.98
% 31.71/31.98 ============================== CLAUSES FOR SEARCH ====================
% 31.71/31.98
% 31.71/31.98 ============================== end of clauses for search =============
% 31.71/31.98
% 31.71/31.98 ============================== SEARCH ================================
% 31.71/31.98
% 31.71/31.98 % Starting search at 0.18 seconds.
% 31.71/31.98
% 31.71/31.98 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 65 (0.00 of 0.46 sec).
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=68.000, iters=3480
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% 31.71/31.98 Low Water (keep): wt=67.000, iters=3607
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% 31.71/31.98 Low Water (keep): wt=65.000, iters=3551
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% 31.71/31.98 Low Water (keep): wt=60.000, iters=3436
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% 31.71/31.98 Low Water (keep): wt=54.000, iters=3417
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% 31.71/31.98 Low Water (keep): wt=52.000, iters=3466
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% 31.71/31.98 Low Water (keep): wt=50.000, iters=3435
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% 31.71/31.98 Low Water (keep): wt=48.000, iters=3350
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% 31.71/31.98 Low Water (keep): wt=47.000, iters=3381
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% 31.71/31.98 Low Water (keep): wt=45.000, iters=3375
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% 31.71/31.98 Low Water (keep): wt=43.000, iters=3333
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% 31.71/31.98 Low Water (keep): wt=42.000, iters=3488
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% 31.71/31.98 Low Water (keep): wt=39.000, iters=3346
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% 31.71/31.98 Low Water (keep): wt=38.000, iters=3344
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% 31.71/31.98 Low Water (keep): wt=37.000, iters=3333
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% 31.71/31.98 Low Water (keep): wt=36.000, iters=3364
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=35.000, iters=3413
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=34.000, iters=3380
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=33.000, iters=3361
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=32.000, iters=3378
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=31.000, iters=3425
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=28.000, iters=3405
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=27.000, iters=3357
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=26.000, iters=3360
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=25.000, iters=3393
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=24.000, iters=3403
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=23.000, iters=3370
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=22.000, iters=3708
% 31.71/31.98
% 31.71/31.98 Low Water (keep): wt=21.000, iters=3463
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% 31.71/31.98 Low Water (keep): wt=20.000, iters=3361
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=2550, wt=111.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=2682, wt=101.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=4342, wt=99.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=3521, wt=94.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=3860, wt=93.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=3176, wt=89.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=4324, wt=87.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=4276, wt=84.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=2542, wt=83.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=6493, wt=60.000
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% 31.71/31.99 Low Water (displace): id=6063, wt=56.000
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% 31.71/31.99 Low Water (displace): id=6492, wt=53.000
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% 31.71/31.99 Low Water (displace): id=6495, wt=52.000
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% 31.71/31.99 Low Water (displace): id=10423, wt=51.000
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% 31.71/31.99 Low Water (displace): id=6332, wt=50.000
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% 31.71/31.99 Low Water (displace): id=10992, wt=49.000
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% 31.71/31.99 Low Water (displace): id=6152, wt=48.000
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% 31.71/31.99 Low Water (displace): id=6340, wt=47.000
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% 31.71/31.99 Low Water (displace): id=6491, wt=46.000
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% 31.71/31.99 Low Water (displace): id=10426, wt=45.000
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% 31.71/31.99 Low Water (displace): id=6111, wt=44.000
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% 31.71/31.99 Low Water (displace): id=9002, wt=43.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=6144, wt=42.000
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% 31.71/31.99 Low Water (displace): id=10970, wt=41.000
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% 31.71/31.99 Low Water (displace): id=6020, wt=40.000
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% 31.71/31.99 Low Water (displace): id=2262, wt=39.000
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% 31.71/31.99 Low Water (displace): id=6109, wt=37.000
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% 31.71/31.99 Low Water (displace): id=9000, wt=36.000
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% 31.71/31.99 Low Water (displace): id=5612, wt=35.000
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% 31.71/31.99 Low Water (displace): id=10421, wt=34.000
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% 31.71/31.99 Low Water (displace): id=11480, wt=33.000
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% 31.71/31.99 Low Water (keep): wt=19.000, iters=3379
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% 31.71/31.99 Low Water (displace): id=11470, wt=32.000
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% 31.71/31.99 Low Water (displace): id=11462, wt=31.000
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% 31.71/31.99 Low Water (displace): id=11905, wt=30.000
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% 31.71/31.99 Low Water (displace): id=11930, wt=29.000
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% 31.71/31.99 Low Water (displace): id=11886, wt=28.000
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% 31.71/31.99 Low Water (displace): id=11936, wt=27.000
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% 31.71/31.99 Low Water (displace): id=12391, wt=18.000
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% 31.71/31.99 Low Water (displace): id=22529, wt=17.000
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% 31.71/31.99 Low Water (displace): id=150548, wt=16.000
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% 31.71/31.99 Low Water (displace): id=269150, wt=15.000
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% 31.71/31.99 Low Water (displace): id=269586, wt=14.000
% 31.71/31.99
% 31.71/31.99 Low Water (displace): id=270224, wt=13.000
% 33.04/33.34
% 33.04/33.34 Low Water (keep): wt=15.000, iters=4026
% 33.04/33.34
% 33.04/33.34 Low Water (displace): id=272668, wt=12.000
% 33.04/33.34
% 33.04/33.34 Low Water (displace): id=274515, wt=11.000
% 33.04/33.34
% 33.04/33.34 Low Water (displace): id=274799, wt=10.000
% 33.04/33.34
% 33.04/33.34 ============================== PROOF =================================
% 33.04/33.34 % SZS status Unsatisfiable
% 33.04/33.34 % SZS output start Refutation
% 33.04/33.34
% 33.04/33.34 % Proof 1 at 31.54 (+ 0.70) seconds.
% 33.04/33.34 % Length of proof is 148.
% 33.04/33.34 % Level of proof is 17.
% 33.04/33.34 % Maximum clause weight is 18.000.
% 33.04/33.34 % Given clauses 10027.
% 33.04/33.34
% 33.04/33.34 57 -class_Lattices_Olower__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A) # label(cls_le__infE_0) # label(axiom). [assumption].
% 33.04/33.34 64 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B) = B # label(cls_inf__idem_0) # label(axiom). [assumption].
% 33.04/33.34 65 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 33.04/33.34 67 class_RealVector_Otopological__space(tc_RealDef_Oreal) # label(clsarity_RealDef__Oreal__RealVector_Otopological__space) # label(axiom). [assumption].
% 33.04/33.34 73 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))) # label(cls_open__empty_0) # label(axiom). [assumption].
% 33.04/33.34 75 -class_RealVector_Otopological__space(A) | hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(A),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))) # label(cls_open__UNIV_0) # label(axiom). [assumption].
% 33.04/33.34 119 hBOOL(c_in(hAPP(A,B),c_Set_Oimage(A,C,D,E),E)) | -hBOOL(c_in(B,C,D)) # label(cls_imageI_0) # label(axiom). [assumption].
% 33.04/33.34 177 -class_Orderings_Oorder(A) | B = C | -c_lessequals(B,C,A) | -c_lessequals(C,B,A) # label(cls_order__antisym__conv_0) # label(axiom). [assumption].
% 33.04/33.34 181 -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)) # label(cls_bot1E_0) # label(axiom). [assumption].
% 33.04/33.34 182 c_Set_Ovimage(A,c_Collect(B,C),D,C) = c_Collect(c_COMBB(B,A,C,tc_bool,D),D) # label(cls_vimage__Collect__eq_0) # label(axiom). [assumption].
% 33.04/33.34 183 c_Collect(c_COMBB(A,B,C,tc_bool,D),D) = c_Set_Ovimage(B,c_Collect(A,C),D,C). [copy(182),flip(a)].
% 33.04/33.34 184 -class_Lattices_Obounded__lattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A)) = B # label(cls_sup__bot__right_0) # label(axiom). [assumption].
% 33.04/33.34 200 -class_Lattices_Obounded__lattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B) = c_Orderings_Obot__class_Obot(A) # label(cls_inf__bot__left_0) # label(axiom). [assumption].
% 33.04/33.34 201 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B) = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) # label(cls_Int__empty__left_0) # label(axiom). [assumption].
% 33.04/33.34 203 -class_Orderings_Obot(A) | c_lessequals(c_Orderings_Obot__class_Obot(A),B,A) # label(cls_bot__least_0) # label(axiom). [assumption].
% 33.04/33.34 204 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)) # label(cls_empty__subsetI_0) # label(axiom). [assumption].
% 33.04/33.34 214 hAPP(c_COMBB(A,B,C,D,E),F) = hAPP(A,hAPP(B,F)) # label(cls_COMBB__def_0) # label(axiom). [assumption].
% 33.04/33.34 215 hAPP(c_COMBI(A),B) = B # label(cls_COMBI__def_0) # label(axiom). [assumption].
% 33.04/33.34 216 hAPP(c_COMBK(A,B,C),D) = A # label(cls_COMBK__def_0) # label(axiom). [assumption].
% 33.04/33.34 249 -class_HOL_Oord(A) | c_lessequals(hAPP(B,C),hAPP(D,C),A) | -c_lessequals(B,D,tc_fun(E,A)) # label(cls_le__funD_0) # label(axiom). [assumption].
% 33.04/33.34 269 hBOOL(c_in(A,B,C)) | -hBOOL(hAPP(B,A)) # label(cls_mem__def_1) # label(axiom). [assumption].
% 33.04/33.34 270 hBOOL(hAPP(A,B)) | -hBOOL(c_in(B,A,C)) # label(cls_mem__def_0) # label(axiom). [assumption].
% 33.04/33.34 274 -class_Orderings_Obot(A) | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x) = c_Orderings_Obot__class_Obot(A) # label(cls_bot__fun__eq_0) # label(axiom). [assumption].
% 33.04/33.34 288 c_Set_Ovimage(c_COMBK(A,B,C),D,C,B) = c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)) | hBOOL(c_in(A,D,B)) # label(cls_vimage__const_1) # label(axiom). [assumption].
% 33.04/33.34 292 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B) = B # label(cls_Int__absorb_0) # label(axiom). [assumption].
% 33.04/33.34 309 c_Set_Ovimage(c_COMBK(A,B,C),D,C,B) = c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)) | -hBOOL(c_in(A,D,B)) # label(cls_vimage__const_0) # label(axiom). [assumption].
% 33.04/33.34 311 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != c_Collect(B,A) | -hBOOL(hAPP(B,C)) # label(cls_empty__Collect__eq_0) # label(axiom). [assumption].
% 33.04/33.34 312 c_Collect(A,B) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)) | -hBOOL(hAPP(A,C)). [copy(311),flip(a)].
% 33.04/33.34 314 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B)) # label(cls_top1I_0) # label(axiom). [assumption].
% 33.04/33.34 319 hBOOL(hAPP(v_P,v_x____)) # label(cls_x_0) # label(axiom). [assumption].
% 33.04/33.34 321 -class_Lattices_Obounded__lattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Otop__class_Otop(A)) = c_Orderings_Otop__class_Otop(A) # label(cls_sup__top__right_0) # label(axiom). [assumption].
% 33.04/33.34 322 -class_Lattices_Obounded__lattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Otop__class_Otop(A)),B) = c_Orderings_Otop__class_Otop(A) # label(cls_sup__top__left_0) # label(axiom). [assumption].
% 33.04/33.34 326 c_Collect(A,B) = A # label(cls_Collect__def_0) # label(axiom). [assumption].
% 33.04/33.34 333 c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)) = c_Collect(c_COMBK(c_True,tc_bool,A),A) # label(cls_UNIV__def_0) # label(axiom). [assumption].
% 33.04/33.34 334 c_COMBK(c_True,tc_bool,A) = c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)). [copy(333),rewrite([326(7)]),flip(a)].
% 33.04/33.34 335 c_Collect(A,B) = c_Collect(C,B) | hBOOL(hAPP(C,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B))) | hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B))) # label(cls_Collect__cong_0) # label(axiom). [assumption].
% 33.04/33.34 336 A = B | hBOOL(hAPP(B,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C))) | hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C))). [copy(335),rewrite([326(1),326(1)])].
% 33.04/33.34 337 c_Collect(A,B) = c_Collect(C,B) | -hBOOL(hAPP(C,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B))) | -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,C,B))) # label(cls_Collect__cong_1) # label(axiom). [assumption].
% 33.04/33.34 338 A = B | -hBOOL(hAPP(B,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C))) | -hBOOL(hAPP(A,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(A,B,C))). [copy(337),rewrite([326(1),326(1)])].
% 33.04/33.34 345 -class_Orderings_Otop(A) | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,A)),v_x) = c_Orderings_Otop__class_Otop(A) # label(cls_top__fun__eq_0) # label(axiom). [assumption].
% 33.04/33.34 355 c_Set_Ovimage(A,c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)),C,B) = c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)) # label(cls_vimage__UNIV_0) # label(axiom). [assumption].
% 33.04/33.34 378 class_Lattices_Obounded__lattice(tc_bool) # label(clsarity_bool__Lattices_Obounded__lattice) # label(axiom). [assumption].
% 33.04/33.34 383 class_Orderings_Oorder(tc_bool) # label(clsarity_bool__Orderings_Oorder) # label(axiom). [assumption].
% 33.04/33.34 384 class_Orderings_Otop(tc_bool) # label(clsarity_bool__Orderings_Otop) # label(axiom). [assumption].
% 33.04/33.34 385 class_Orderings_Obot(tc_bool) # label(clsarity_bool__Orderings_Obot) # label(axiom). [assumption].
% 33.04/33.34 386 class_HOL_Oord(tc_bool) # label(clsarity_bool__HOL_Oord) # label(axiom). [assumption].
% 33.04/33.34 487 c_lessequals(A,B,tc_bool) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C),tc_bool). [resolve(65,a,57,a)].
% 33.04/33.34 492 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(65,a,64,a)].
% 33.04/33.34 516 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_Orderings_Obot__class_Obot(tc_fun(tc_RealDef_Oreal,tc_bool)))). [resolve(67,a,73,a)].
% 33.04/33.34 518 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_bool)))). [resolve(67,a,75,a)].
% 33.04/33.34 528 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != B | -hBOOL(hAPP(B,C)). [back_rewrite(312),rewrite([326(1)]),flip(a)].
% 33.04/33.34 531 c_COMBB(A,B,C,tc_bool,D) = c_Set_Ovimage(B,A,D,C). [back_rewrite(183),rewrite([326(3),326(3)])].
% 33.04/33.34 929 c_lessequals(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B),hAPP(C,B),tc_bool). [resolve(249,c,204,a),unit_del(a,386)].
% 33.04/33.34 1133 c_Set_Ovimage(c_COMBK(A,B,C),D,C,B) = c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)) | hBOOL(hAPP(D,A)). [resolve(288,b,270,b)].
% 33.04/33.34 1241 hBOOL(c_in(v_x____,v_P,A)). [resolve(319,a,269,b)].
% 33.04/33.34 1266 hAPP(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),B) = c_True. [para(334(a,1),216(a,1,1))].
% 33.04/33.34 1267 hBOOL(c_True). [back_rewrite(314),rewrite([1266(4)])].
% 33.04/33.34 1275 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = B | hBOOL(hAPP(B,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),C))). [resolve(336,b,181,a),flip(a)].
% 33.04/33.34 1335 c_COMBK(A,B,C) = D | -hBOOL(A) | -hBOOL(hAPP(D,c_ATP__Linkup_Osko__Set__XCollect__cong__1__1(D,c_COMBK(A,B,C),E))). [para(216(a,1),338(b,1)),flip(a)].
% 33.04/33.34 1409 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_Orderings_Otop__class_Otop(tc_bool)),A) = c_Orderings_Otop__class_Otop(tc_bool). [resolve(378,a,322,a)].
% 33.04/33.34 1410 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),c_Orderings_Otop__class_Otop(tc_bool)) = c_Orderings_Otop__class_Otop(tc_bool). [resolve(378,a,321,a)].
% 33.04/33.34 1415 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)),A) = c_Orderings_Obot__class_Obot(tc_bool). [resolve(378,a,200,a)].
% 33.04/33.34 1418 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),c_Orderings_Obot__class_Obot(tc_bool)) = A. [resolve(378,a,184,a)].
% 33.04/33.34 1447 c_Orderings_Otop__class_Otop(tc_bool) = c_True. [resolve(384,a,345,a),rewrite([1266(6)]),flip(a)].
% 33.04/33.34 1456 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),c_True) = c_True. [back_rewrite(1410),rewrite([1447(5),1447(7)])].
% 33.04/33.34 1457 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True),A) = c_True. [back_rewrite(1409),rewrite([1447(4),1447(7)])].
% 33.04/33.34 1462 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_Orderings_Obot__class_Obot(tc_bool). [resolve(385,a,274,a)].
% 33.04/33.34 1463 c_lessequals(c_Orderings_Obot__class_Obot(tc_bool),A,tc_bool). [resolve(385,a,203,a)].
% 33.04/33.34 1940 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal). [resolve(528,b,518,a)].
% 33.04/33.34 1957 c_COMBI(A) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)) | -hBOOL(C). [para(215(a,1),528(b,1)),flip(a)].
% 33.04/33.34 1981 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B) | -hBOOL(B). [para(492(a,1),528(b,1))].
% 33.04/33.34 2059 hAPP(c_Set_Ovimage(A,B,C,D),E) = hAPP(B,hAPP(A,E)). [para(531(a,1),214(a,1,1))].
% 33.04/33.34 2115 c_COMBI(A) != c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). [resolve(1957,b,518,a)].
% 33.04/33.34 2202 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_True). [resolve(1981,b,1267,a)].
% 33.04/33.34 2427 hBOOL(c_in(hAPP(A,v_x____),c_Set_Oimage(A,v_P,B,C),C)). [resolve(1241,a,119,b)].
% 33.04/33.34 2440 c_Orderings_Obot__class_Obot(tc_bool) = A | -c_lessequals(A,c_Orderings_Obot__class_Obot(tc_bool),tc_bool). [resolve(1463,a,177,d),flip(b),unit_del(a,383)].
% 33.04/33.34 3074 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B). [para(1456(a,1),528(b,1)),unit_del(b,1267)].
% 33.04/33.34 3941 -hBOOL(c_Orderings_Obot__class_Obot(tc_bool)). [para(1462(a,1),181(a,1))].
% 33.04/33.34 5702 c_lessequals(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B),C,tc_bool). [resolve(929,a,487,b)].
% 33.04/33.34 5722 hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B) = c_Orderings_Obot__class_Obot(tc_bool). [resolve(5702,a,2440,b),flip(a)].
% 33.04/33.34 6290 hBOOL(hAPP(c_Set_Oimage(A,v_P,B,C),hAPP(A,v_x____))). [resolve(2427,a,270,b)].
% 33.04/33.34 6369 hBOOL(c_in(hAPP(A,v_x____),c_Set_Oimage(A,v_P,B,C),D)). [resolve(6290,a,269,b)].
% 33.04/33.34 7471 hBOOL(c_in(c_Orderings_Obot__class_Obot(tc_bool),c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),v_P,B,C),D)). [para(5722(a,1),6369(a,1,1))].
% 33.04/33.34 16463 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) != c_Set_Ovimage(B,C,D,E) | -hBOOL(hAPP(C,hAPP(B,F))). [para(2059(a,1),528(b,1))].
% 33.04/33.34 144147 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_COMBK(B,C,D) | hBOOL(B). [para(216(a,1),1275(b,1))].
% 33.04/33.34 144152 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)). [para(1415(a,1),1275(b,1)),unit_del(b,3941)].
% 33.04/33.34 144153 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)). [para(5722(a,1),1275(b,1)),unit_del(b,3941)].
% 33.04/33.34 144156 c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_0. [new_symbol(144153)].
% 33.04/33.34 144159 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_Orderings_Obot__class_Obot(tc_bool)) = c_0. [back_rewrite(144152),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 144164 c_COMBK(A,B,C) = c_0 | hBOOL(A). [back_rewrite(144147),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 146853 c_Set_Ovimage(A,B,C,D) != c_0 | -hBOOL(hAPP(B,hAPP(A,E))). [back_rewrite(16463),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 147834 hBOOL(c_in(c_Orderings_Obot__class_Obot(tc_bool),c_Set_Oimage(c_0,v_P,A,B),C)). [back_rewrite(7471),rewrite([144156(5)])].
% 33.04/33.34 147996 hAPP(c_0,A) = c_Orderings_Obot__class_Obot(tc_bool). [back_rewrite(5722),rewrite([144156(3)])].
% 33.04/33.34 148209 hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A) != c_0. [back_rewrite(3074),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 148271 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),c_True) != c_0. [back_rewrite(2202),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 148284 c_COMBI(A) != c_0. [back_rewrite(2115),rewrite([144156(4)])].
% 33.04/33.34 148308 c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal) != c_0. [back_rewrite(1940),rewrite([144156(3)]),flip(a)].
% 33.04/33.34 148338 c_Set_Ovimage(c_COMBK(A,B,C),D,C,B) = c_0 | hBOOL(hAPP(D,A)). [back_rewrite(1133),rewrite([144156(5)])].
% 33.04/33.34 148389 c_0 != A | -hBOOL(hAPP(A,B)). [back_rewrite(528),rewrite([144156(3)])].
% 33.04/33.34 148391 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_0)). [back_rewrite(516),rewrite([144156(6)])].
% 33.04/33.34 148402 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_0),B) = c_0. [back_rewrite(201),rewrite([144156(6),144156(9)])].
% 33.04/33.34 148588 c_Lattices_Olower__semilattice__class_Oinf(tc_bool) != c_0 | -hBOOL(c_0). [para(144159(a,1),148389(b,1)),flip(a)].
% 33.04/33.34 148604 c_COMBK(c_Orderings_Obot__class_Obot(tc_bool),A,B) = c_0. [resolve(144164,b,3941,a)].
% 33.04/33.34 150295 c_Set_Ovimage(c_0,c_Set_Oimage(c_0,v_P,A,B),C,D) = c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)). [resolve(147834,a,309,b),rewrite([148604(3)])].
% 33.04/33.34 155331 c_COMBK(A,B,C) = c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)) | -hBOOL(A). [para(1266(a,1),1335(c,1)),unit_del(c,1267)].
% 33.04/33.34 155332 c_COMBK(A,B,C) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True) | -hBOOL(A). [para(1457(a,1),1335(c,1)),unit_del(c,1267)].
% 33.04/33.34 155334 c_COMBK(A,B,C) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(D,tc_bool)),c_0) | -hBOOL(A) | -hBOOL(c_0). [para(148402(a,1),1335(c,1))].
% 33.04/33.34 155346 c_COMBK(A,B,C) = c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)) | c_COMBK(A,E,F) = c_0. [resolve(155331,b,144164,b)].
% 33.04/33.34 155363 c_COMBK(c_True,A,B) = c_Orderings_Otop__class_Otop(tc_fun(C,tc_bool)). [resolve(155331,b,1267,a)].
% 33.04/33.34 155379 c_Set_Ovimage(A,c_COMBK(c_True,B,C),D,E) = c_Orderings_Otop__class_Otop(tc_fun(D,tc_bool)). [para(155363(a,2),355(a,1,2))].
% 33.04/33.34 155380 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_COMBK(c_True,A,B))). [para(155363(a,2),518(a,1,2))].
% 33.04/33.34 155473 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)))). [para(334(a,1),155380(a,1,2))].
% 33.04/33.34 155495 hBOOL(c_in(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B)). [resolve(155473,a,269,b)].
% 33.04/33.34 156703 c_COMBK(c_in(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B),C,D) = c_Orderings_Otop__class_Otop(tc_fun(E,tc_bool)). [resolve(155495,a,155331,b)].
% 33.04/33.34 156779 c_COMBK(c_in(c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)),c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),B),C,D) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [resolve(155332,b,155495,a)].
% 33.04/33.34 156786 c_COMBK(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_0),A,B) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [resolve(155332,b,148391,a)].
% 33.04/33.34 156807 c_COMBK(c_True,A,B) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [resolve(155332,b,1267,a)].
% 33.04/33.34 156811 c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [back_rewrite(156703),rewrite([156779(7)]),flip(a)].
% 33.04/33.34 156958 hBOOL(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True))). [back_rewrite(518),rewrite([156811(6)])].
% 33.04/33.34 156963 c_COMBK(hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True)),A,B) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [resolve(156958,a,155332,b)].
% 33.04/33.34 159797 hAPP(c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal),c_0) = c_True. [para(156786(a,1),216(a,1,1)),rewrite([1457(5)]),flip(a)].
% 33.04/33.34 160332 c_Set_Ovimage(A,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True),B,C) = c_Orderings_Otop__class_Otop(tc_fun(B,tc_bool)). [para(156807(a,1),155379(a,1,2))].
% 33.04/33.34 173832 c_Set_Ovimage(c_0,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B,C) = c_0 | hBOOL(A). [para(1418(a,1),148338(b,1)),rewrite([148604(3)])].
% 33.04/33.34 173847 c_Set_Ovimage(c_0,hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_0),A,B) = c_0 | c_Lattices_Olower__semilattice__class_Oinf(tc_bool) != c_0. [resolve(173832,b,148588,b)].
% 33.04/33.34 177041 hAPP(c_Set_Oimage(c_0,v_P,A,B),c_Orderings_Obot__class_Obot(tc_bool)) = c_True. [para(150295(a,1),2059(a,1,1)),rewrite([1266(4),147996(6)]),flip(a)].
% 33.04/33.34 177054 c_Set_Ovimage(c_Set_Oimage(c_0,v_P,A,B),C,D,E) != c_0 | -hBOOL(hAPP(C,c_True)). [para(177041(a,1),146853(b,1,2))].
% 33.04/33.34 231980 c_Set_Ovimage(c_Set_Oimage(c_0,v_P,A,B),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),c_True),D,E) != c_0. [para(292(a,1),177054(b,1)),unit_del(b,1267)].
% 33.04/33.34 266984 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_0) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True) | -hBOOL(c_0). [resolve(155334,b,156958,a),rewrite([156963(8)]),flip(a)].
% 33.04/33.34 266987 c_COMBK(A,B,C) = c_0 | c_True = A. [para(155346(a,1),216(a,1,1)),rewrite([1266(7)])].
% 33.04/33.34 267128 c_True = A | c_Orderings_Obot__class_Obot(tc_bool) = A. [para(266987(a,1),216(a,1,1)),rewrite([147996(4)])].
% 33.04/33.34 268815 c_COMBI(A) = c_True | c_Orderings_Obot__class_Obot(tc_bool) != c_0. [para(267128(b,2),148284(a,1)),flip(a)].
% 33.04/33.34 268818 c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal) = c_True | c_Orderings_Obot__class_Obot(tc_bool) != c_0. [para(267128(b,2),148308(a,1)),flip(a)].
% 33.04/33.34 268833 c_Lattices_Olower__semilattice__class_Oinf(tc_bool) = c_True | hAPP(c_Orderings_Obot__class_Obot(tc_bool),c_True) != c_0. [para(267128(b,2),148271(a,1,1)),flip(a)].
% 33.04/33.34 268842 c_0 = c_True | c_Orderings_Obot__class_Obot(tc_bool) = c_0. [para(267128(b,2),144156(a,1)),rewrite([144156(4)]),flip(a)].
% 33.04/33.34 269037 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_0) = c_True | hAPP(c_Orderings_Obot__class_Obot(tc_bool),B) = c_0. [para(267128(b,2),148402(a,1,1)),flip(a)].
% 33.04/33.34 274522 c_COMBI(A) = c_True | c_0 = c_True. [resolve(268815,b,268842,b)].
% 33.04/33.34 274532 c_0 = c_True | hAPP(c_True,A) = A. [para(274522(a,1),215(a,1,1))].
% 33.04/33.34 274713 c_RealVector_Oopen__class_Oopen(tc_RealDef_Oreal) = c_True | c_0 = c_True. [resolve(268818,b,268842,b)].
% 33.04/33.34 274743 c_0 = c_True | hAPP(c_True,c_0) = c_True. [para(274713(a,1),159797(a,1,1))].
% 33.04/33.34 276121 c_0 = c_True. [para(274743(b,1),274532(b,1)),flip(c),merge(b),merge(c)].
% 33.04/33.34 276424 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_True) = c_True | hAPP(c_Orderings_Obot__class_Obot(tc_bool),B) = c_True. [back_rewrite(269037),rewrite([276121(4),276121(11)])].
% 33.04/33.34 276563 c_Lattices_Olower__semilattice__class_Oinf(tc_bool) = c_True | hAPP(c_Orderings_Obot__class_Obot(tc_bool),c_True) != c_True. [back_rewrite(268833),rewrite([276121(9)])].
% 33.04/33.34 276649 hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_True) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),c_True). [back_rewrite(266984),rewrite([276121(4),276121(11)]),unit_del(b,1267)].
% 33.04/33.34 276736 c_Orderings_Otop__class_Otop(tc_fun(A,tc_bool)) != c_True. [back_rewrite(231980),rewrite([276121(1),276649(8),160332(8),276121(4)])].
% 33.04/33.34 277273 c_Lattices_Olower__semilattice__class_Oinf(tc_bool) != c_True. [back_rewrite(173847),rewrite([276121(1),276121(4),160332(6),276121(4),276121(8)]),unit_del(a,276736)].
% 33.04/33.34 277821 hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A) != c_True. [back_rewrite(148209),rewrite([276121(4)])].
% 33.04/33.34 278630 hAPP(c_Orderings_Obot__class_Obot(tc_bool),A) = c_True. [back_rewrite(276424),rewrite([276649(5)]),unit_del(a,277821)].
% 33.04/33.34 278654 $F. [back_unit_del(276563),rewrite([278630(8)]),xx(b),unit_del(a,277273)].
% 33.04/33.34
% 33.04/33.34 % SZS output end Refutation
% 33.04/33.34 ============================== end of proof ==========================
% 33.04/33.34
% 33.04/33.34 ============================== STATISTICS ============================
% 33.04/33.34
% 33.04/33.34 Given=10027. Generated=1136652. Kept=278505. proofs=1.
% 33.04/33.34 Usable=3554. Sos=8949. Demods=1431. Limbo=1381, Disabled=265144. Hints=0.
% 33.04/33.34 Megabytes=217.82.
% 33.04/33.34 User_CPU=31.54, System_CPU=0.70, Wall_clock=32.
% 33.04/33.34
% 33.04/33.34 ============================== end of statistics =====================
% 33.04/33.34
% 33.04/33.34 ============================== end of search =========================
% 33.04/33.34
% 33.04/33.34 THEOREM PROVED
% 33.04/33.34 % SZS status Unsatisfiable
% 33.04/33.34
% 33.04/33.34 Exiting with 1 proof.
% 33.04/33.34
% 33.04/33.34 Process 22525 exit (max_proofs) Wed Jun 8 08:48:52 2022
% 33.04/33.34 Prover9 interrupted
%------------------------------------------------------------------------------