TSTP Solution File: SWV896-1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV896-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 : Wed Jul 20 21:15:10 EDT 2022
% Result : Timeout 300.05s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV896-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 15 00:45:11 EDT 2022
% 0.15/0.35 % CPUTime :
% 1.10/1.49 ============================== Prover9 ===============================
% 1.10/1.49 Prover9 (32) version 2009-11A, November 2009.
% 1.10/1.49 Process 28549 was started by sandbox2 on n006.cluster.edu,
% 1.10/1.49 Wed Jun 15 00:45:12 2022
% 1.10/1.49 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28396_n006.cluster.edu".
% 1.10/1.49 ============================== end of head ===========================
% 1.10/1.49
% 1.10/1.49 ============================== INPUT =================================
% 1.10/1.49
% 1.10/1.49 % Reading from file /tmp/Prover9_28396_n006.cluster.edu
% 1.10/1.49
% 1.10/1.49 set(prolog_style_variables).
% 1.10/1.49 set(auto2).
% 1.10/1.49 % set(auto2) -> set(auto).
% 1.10/1.49 % set(auto) -> set(auto_inference).
% 1.10/1.49 % set(auto) -> set(auto_setup).
% 1.10/1.49 % set(auto_setup) -> set(predicate_elim).
% 1.10/1.49 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.10/1.49 % set(auto) -> set(auto_limits).
% 1.10/1.49 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.10/1.49 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.10/1.49 % set(auto) -> set(auto_denials).
% 1.10/1.49 % set(auto) -> set(auto_process).
% 1.10/1.49 % set(auto2) -> assign(new_constants, 1).
% 1.10/1.49 % set(auto2) -> assign(fold_denial_max, 3).
% 1.10/1.49 % set(auto2) -> assign(max_weight, "200.000").
% 1.10/1.49 % set(auto2) -> assign(max_hours, 1).
% 1.10/1.49 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.10/1.49 % set(auto2) -> assign(max_seconds, 0).
% 1.10/1.49 % set(auto2) -> assign(max_minutes, 5).
% 1.10/1.49 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.10/1.49 % set(auto2) -> set(sort_initial_sos).
% 1.10/1.49 % set(auto2) -> assign(sos_limit, -1).
% 1.10/1.49 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.10/1.49 % set(auto2) -> assign(max_megs, 400).
% 1.10/1.49 % set(auto2) -> assign(stats, some).
% 1.10/1.49 % set(auto2) -> clear(echo_input).
% 1.10/1.49 % set(auto2) -> set(quiet).
% 1.10/1.49 % set(auto2) -> clear(print_initial_clauses).
% 1.10/1.49 % set(auto2) -> clear(print_given).
% 1.10/1.49 assign(lrs_ticks,-1).
% 1.10/1.49 assign(sos_limit,10000).
% 1.10/1.49 assign(order,kbo).
% 1.10/1.49 set(lex_order_vars).
% 1.10/1.49 clear(print_given).
% 1.10/1.49
% 1.10/1.49 % formulas(sos). % not echoed (813 formulas)
% 1.10/1.49
% 1.10/1.49 ============================== end of input ==========================
% 1.10/1.49
% 1.10/1.49 % From the command line: assign(max_seconds, 300).
% 1.10/1.49
% 1.10/1.49 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.10/1.49
% 1.10/1.49 % Formulas that are not ordinary clauses:
% 1.10/1.49
% 1.10/1.49 ============================== end of process non-clausal formulas ===
% 1.10/1.49
% 1.10/1.49 ============================== PROCESS INITIAL CLAUSES ===============
% 1.10/1.49
% 1.10/1.49 ============================== PREDICATE ELIMINATION =================
% 1.10/1.49 1 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__add) # label(axiom). [assumption].
% 1.10/1.49 2 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D) = c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Ofinite(D,B) # label(cls_setsum__infinite_0) # label(axiom). [assumption].
% 1.10/1.49 3 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D) = c_HOL_Ozero__class_Ozero(A) | c_Finite__Set_Ofinite(D,B) # label(cls_setsum__def_1) # label(axiom). [assumption].
% 1.10/1.49 4 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__empty_0) # label(axiom). [assumption].
% 1.10/1.49 5 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Osetsum(B,A),c_COMBK(c_HOL_Ozero__class_Ozero(A),A,B)),C) = c_HOL_Ozero__class_Ozero(A) # label(cls_setsum__0_0) # label(axiom). [assumption].
% 1.10/1.49 6 -class_OrderedGroup_Ocomm__monoid__add(A) | hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(C,A),D,tc_fun(C,A),tc_fun(tc_fun(C,tc_bool),A),B),B,tc_fun(C,tc_bool),A),E)),F) = hAPP(hAPP(c_Finite__Set_Osetsum(C,A),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(B,A),c_COMBC(D,B,C,A),tc_fun(B,A),tc_fun(tc_fun(B,tc_bool),A),C),C,tc_fun(B,tc_bool),A),F)),E) # label(cls_setsum__commute_0) # label(axiom). [assumption].
% 1.10/1.49 Derived: hAPP(hAPP(c_Finite__Set_Osetsum(A,tc_nat),B),C) = c_HOL_Ozero__class_Ozero(tc_nat) | c_Finite__Set_Ofinite(C,A). [resolve(1,a,2,a)].
% 1.10/1.49 Derived: hAPP(hAPP(c_Finite__Set_Osetsum(A,tc_nat),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,4,a)].
% 1.10/1.49 Derived: hAPP(hAPP(c_Finite__Set_Osetsum(A,tc_nat),c_COMBK(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat,A)),B) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(1,a,5,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Finite__Set_Osetsum(A,tc_nat),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(B,tc_nat),C,tc_fun(B,tc_nat),tc_fun(tc_fun(B,tc_bool),tc_nat),A),A,tc_fun(B,tc_bool),tc_nat),D)),E) = hAPP(hAPP(c_Finite__Set_Osetsum(B,tc_nat),hAPP(c_COMBC(c_COMBB(c_Finite__Set_Osetsum(A,tc_nat),c_COMBC(C,A,B,tc_nat),tc_fun(A,tc_nat),tc_fun(tc_fun(A,tc_bool),tc_nat),B),B,tc_fun(A,tc_bool),tc_nat),E)),D). [resolve(1,a,6,a)].
% 1.10/1.52 7 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.10/1.52 8 -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].
% 1.10/1.52 9 -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].
% 1.10/1.52 10 -class_Lattices_Olower__semilattice(A) | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),B,hAPP(hAPP(c_Set_Oinsert(A),C),D),A,A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(A),B,D,A,A)) | -c_Finite__Set_Ofinite(D,A) # label(cls_fold__inf__insert_0) # label(axiom). [assumption].
% 1.10/1.52 11 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_less__infI2_0) # label(axiom). [assumption].
% 1.10/1.52 12 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__infI1_0) # label(axiom). [assumption].
% 1.10/1.52 13 -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].
% 1.10/1.52 14 -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].
% 1.10/1.52 15 -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].
% 1.10/1.52 16 -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].
% 1.10/1.52 17 -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].
% 1.10/1.52 18 -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].
% 1.10/1.52 19 -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].
% 1.10/1.52 20 -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].
% 1.10/1.52 21 -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].
% 1.10/1.52 22 -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].
% 1.10/1.52 23 -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].
% 1.10/1.52 24 -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].
% 1.10/1.52 25 -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].
% 1.10/1.52 26 -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].
% 1.10/1.52 27 -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].
% 1.10/1.52 28 -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].
% 1.10/1.52 29 -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].
% 1.10/1.52 30 -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(hAPP(hAPP(c_in(A),D),C)) | -c_Finite__Set_Ofinite(C,A) # label(cls_fold__inf__le__inf_0) # label(axiom). [assumption].
% 1.10/1.52 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(7,a,8,a)].
% 1.10/1.52 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(7,a,9,a)].
% 1.10/1.52 Derived: -class_Lattices_Olattice(A) | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,hAPP(hAPP(c_Set_Oinsert(tc_fun(B,A)),D),E),tc_fun(B,A),tc_fun(B,A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,E,tc_fun(B,A),tc_fun(B,A))) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(7,a,10,a)].
% 1.10/1.52 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_HOL_Oord__class_Oless(D,E,tc_fun(B,A)). [resolve(7,a,11,a)].
% 1.10/1.52 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D),E,tc_fun(B,A)) | -c_HOL_Oord__class_Oless(C,E,tc_fun(B,A)). [resolve(7,a,12,a)].
% 1.10/1.52 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(7,a,13,a)].
% 1.10/1.52 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(7,a,16,a)].
% 1.10/1.52 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(7,a,17,a)].
% 1.10/1.52 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(7,a,18,a)].
% 1.10/1.52 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(7,a,19,a)].
% 1.10/1.52 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(7,a,20,a)].
% 1.10/1.52 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(7,a,21,a)].
% 1.10/1.52 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(7,a,22,a)].
% 1.10/1.52 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(7,a,23,a)].
% 1.10/1.52 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(7,a,24,a)].
% 1.10/1.52 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(7,a,25,a)].
% 1.10/1.52 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(7,a,26,a)].
% 1.10/1.52 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(7,a,27,a)].
% 1.10/1.52 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(hAPP(hAPP(c_in(tc_fun(B,A)),E),D)) | -c_Finite__Set_Ofinite(D,tc_fun(B,A)). [resolve(7,a,30,a)].
% 1.10/1.52 31 class_Lattices_Olower__semilattice(tc_nat) # label(clsarity_nat__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B)),C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C)). [resolve(31,a,8,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),C)). [resolve(31,a,9,a)].
% 1.10/1.52 Derived: c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A,hAPP(hAPP(c_Set_Oinsert(tc_nat),B),C),tc_nat,tc_nat) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A,C,tc_nat,tc_nat)) | -c_Finite__Set_Ofinite(C,tc_nat). [resolve(31,a,10,a)].
% 1.10/1.52 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_HOL_Oord__class_Oless(B,C,tc_nat). [resolve(31,a,11,a)].
% 1.10/1.52 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(31,a,12,a)].
% 1.10/1.52 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C),tc_nat) | -c_lessequals(A,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(31,a,13,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),B,tc_nat). [resolve(31,a,16,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),A,tc_nat). [resolve(31,a,17,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B). [resolve(31,a,18,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),A) = A. [resolve(31,a,19,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B) = A | -c_lessequals(A,B,tc_nat). [resolve(31,a,20,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B) != A | c_lessequals(A,B,tc_nat). [resolve(31,a,21,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B) = B | -c_lessequals(B,A,tc_nat). [resolve(31,a,22,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),A). [resolve(31,a,23,a)].
% 1.10/1.52 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),B),C),tc_nat). [resolve(31,a,24,a)].
% 1.10/1.52 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),C),B),tc_nat). [resolve(31,a,25,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(31,a,26,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A),B),C,tc_nat) | -c_lessequals(B,C,tc_nat). [resolve(31,a,27,a)].
% 1.10/1.52 Derived: c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),A,B,tc_nat,tc_nat),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat),C),A),tc_nat) | -hBOOL(hAPP(hAPP(c_in(tc_nat),C),B)) | -c_Finite__Set_Ofinite(B,tc_nat). [resolve(31,a,30,a)].
% 1.10/1.52 32 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.10/1.52 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(32,a,8,a)].
% 1.10/1.52 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(32,a,9,a)].
% 1.10/1.52 Derived: c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,hAPP(hAPP(c_Set_Oinsert(tc_bool),B),C),tc_bool,tc_bool) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,C,tc_bool,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(32,a,10,a)].
% 1.10/1.52 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_HOL_Oord__class_Oless(B,C,tc_bool). [resolve(32,a,11,a)].
% 1.10/1.52 Derived: c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),C,tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool). [resolve(32,a,12,a)].
% 1.10/1.52 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(32,a,13,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),B,tc_bool). [resolve(32,a,16,a)].
% 1.10/1.52 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B),A,tc_bool). [resolve(32,a,17,a)].
% 1.10/1.52 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(32,a,18,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(32,a,19,a)].
% 1.10/1.52 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = A | -c_lessequals(A,B,tc_bool). [resolve(32,a,20,a)].
% 1.10/1.54 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) != A | c_lessequals(A,B,tc_bool). [resolve(32,a,21,a)].
% 1.10/1.54 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = B | -c_lessequals(B,A,tc_bool). [resolve(32,a,22,a)].
% 1.10/1.54 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(32,a,23,a)].
% 1.10/1.54 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(32,a,24,a)].
% 1.10/1.54 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(32,a,25,a)].
% 1.10/1.54 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(32,a,26,a)].
% 1.10/1.54 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(32,a,27,a)].
% 1.10/1.54 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(hAPP(hAPP(c_in(tc_bool),C),B)) | -c_Finite__Set_Ofinite(B,tc_bool). [resolve(32,a,30,a)].
% 1.10/1.54 33 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 1.10/1.54 34 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom). [assumption].
% 1.10/1.54 35 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(C,B,A) | c_HOL_Oord__class_Oless(B,C,A) # label(cls_not__less__iff__gr__or__eq_0) # label(axiom). [assumption].
% 1.10/1.54 36 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) | C = B # label(cls_linorder__neqE_0) # label(axiom). [assumption].
% 1.10/1.54 37 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | C = B | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__less__linear_0) # label(axiom). [assumption].
% 1.10/1.54 38 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__antisym__conv3_0) # label(axiom). [assumption].
% 1.10/1.54 39 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_lessequals(C,B,A) # label(cls_not__leE_0) # label(axiom). [assumption].
% 1.10/1.54 40 -class_Orderings_Olinorder(A) | -c_lessequals(B,B,A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__antisym__conv2_1) # label(axiom). [assumption].
% 1.10/1.54 41 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,B,A) | c_lessequals(B,B,A) # label(cls_linorder__antisym__conv1_1) # label(axiom). [assumption].
% 1.10/1.54 42 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_lessequals(C,B,A) # label(cls_linorder__not__less_1) # label(axiom). [assumption].
% 1.10/1.54 43 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__not__less_0) # label(axiom). [assumption].
% 1.10/1.54 44 -class_Orderings_Olinorder(A) | -c_lessequals(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_linorder__not__le_1) # label(axiom). [assumption].
% 1.10/1.54 45 -class_Orderings_Olinorder(A) | c_HOL_Oord__class_Oless(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__not__le_0) # label(axiom). [assumption].
% 1.10/1.54 46 -class_Orderings_Olinorder(A) | B = C | -c_lessequals(B,C,A) | c_HOL_Oord__class_Oless(B,C,A) # label(cls_linorder__antisym__conv1_0) # label(axiom). [assumption].
% 1.10/1.54 47 -class_Orderings_Olinorder(A) | B = C | c_HOL_Oord__class_Oless(B,C,A) | -c_lessequals(B,C,A) # label(cls_linorder__antisym__conv2_0) # label(axiom). [assumption].
% 1.10/1.54 48 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,C,A) | -c_HOL_Oord__class_Oless(C,B,A) # label(cls_not__less__iff__gr__or__eq_1) # label(axiom). [assumption].
% 1.10/1.54 49 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 1.10/1.62 Derived: -c_HOL_Oord__class_Oless(A,A,tc_nat). [resolve(33,a,34,a)].
% 1.10/1.62 Derived: A = B | c_HOL_Oord__class_Oless(B,A,tc_nat) | c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(33,a,35,a)].
% 1.10/1.62 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(33,a,39,a)].
% 1.10/1.62 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_lessequals(B,A,tc_nat). [resolve(33,a,42,a)].
% 1.10/1.62 Derived: A = B | -c_lessequals(A,B,tc_nat) | c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(33,a,46,a)].
% 1.10/1.62 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(33,a,48,a)].
% 1.10/1.62 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(33,a,49,a)].
% 1.10/1.62 50 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.10/1.62 51 -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(hAPP(hAPP(c_in(A),B),D)) | -c_Finite__Set_Ofinite(D,A) # label(cls_sup__le__fold__sup_0) # label(axiom). [assumption].
% 1.10/1.62 52 -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].
% 1.10/1.62 53 -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].
% 1.10/1.62 54 -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].
% 1.10/1.62 55 -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].
% 1.10/1.62 56 -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].
% 1.10/1.62 57 -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].
% 1.10/1.62 58 -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].
% 1.10/1.62 59 -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].
% 1.10/1.62 60 -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].
% 1.10/1.62 61 -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].
% 1.10/1.62 62 -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].
% 1.10/1.62 63 -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].
% 1.10/1.62 64 -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].
% 1.10/1.62 65 -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].
% 1.10/1.62 66 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_HOL_Oord__class_Oless(B,C,A) # label(cls_less__supI1_0) # label(axiom). [assumption].
% 1.10/1.62 67 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__supI2_0) # label(axiom). [assumption].
% 1.10/1.62 68 -class_Lattices_Oupper__semilattice(A) | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),B,hAPP(hAPP(c_Set_Oinsert(A),C),D),A,A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(A),B,D,A,A)) | -c_Finite__Set_Ofinite(D,A) # label(cls_fold__sup__insert_0) # label(axiom). [assumption].
% 1.10/1.62 69 -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].
% 1.10/1.62 70 -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].
% 1.10/1.62 71 -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].
% 1.10/1.62 72 -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].
% 1.10/1.62 73 -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].
% 1.10/1.62 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(hAPP(hAPP(c_in(tc_fun(B,A)),C),E)) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(50,a,51,a)].
% 1.10/1.62 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(50,a,52,a)].
% 1.10/1.62 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(50,a,53,a)].
% 1.10/1.62 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(50,a,54,a)].
% 1.10/1.62 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(50,a,55,a)].
% 1.10/1.62 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(50,a,58,a)].
% 1.10/1.62 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(50,a,59,a)].
% 1.10/1.62 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(50,a,60,a)].
% 1.10/1.62 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(50,a,61,a)].
% 1.10/1.62 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(50,a,62,a)].
% 1.10/1.62 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(50,a,63,a)].
% 1.10/1.62 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_HOL_Oord__class_Oless(B,D,tc_fun(C,A)). [resolve(50,a,66,a)].
% 1.10/1.62 Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,A)),D),E),tc_fun(C,A)) | -c_HOL_Oord__class_Oless(B,E,tc_fun(C,A)). [resolve(50,a,67,a)].
% 1.10/1.62 Derived: -class_Lattices_Olattice(A) | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C,hAPP(hAPP(c_Set_Oinsert(tc_fun(B,A)),D),E),tc_fun(B,A),tc_fun(B,A)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C,E,tc_fun(B,A),tc_fun(B,A))) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(50,a,68,a)].
% 1.10/1.62 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(50,a,69,a)].
% 1.10/1.62 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(50,a,70,a)].
% 1.10/1.62 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(50,a,71,a)].
% 1.10/1.62 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(50,a,72,a)].
% 1.10/1.62 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(50,a,73,a)].
% 1.10/1.62 74 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.10/1.62 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B,C,tc_nat,tc_nat),tc_nat) | -hBOOL(hAPP(hAPP(c_in(tc_nat),A),C)) | -c_Finite__Set_Ofinite(C,tc_nat). [resolve(74,a,51,a)].
% 1.10/1.62 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),C),B,tc_nat). [resolve(74,a,52,a)].
% 1.10/1.62 Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),C),A),B,tc_nat). [resolve(74,a,53,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(74,a,54,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(74,a,55,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = B | -c_lessequals(A,B,tc_nat). [resolve(74,a,58,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) != B | c_lessequals(A,B,tc_nat). [resolve(74,a,59,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = A | -c_lessequals(B,A,tc_nat). [resolve(74,a,60,a)].
% 1.10/1.62 Derived: c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(74,a,61,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),tc_nat). [resolve(74,a,62,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A),tc_nat). [resolve(74,a,63,a)].
% 1.10/1.62 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(74,a,66,a)].
% 1.10/1.62 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C),tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat). [resolve(74,a,67,a)].
% 1.10/1.62 Derived: c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A,hAPP(hAPP(c_Set_Oinsert(tc_nat),B),C),tc_nat,tc_nat) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A,C,tc_nat,tc_nat)) | -c_Finite__Set_Ofinite(C,tc_nat). [resolve(74,a,68,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),A) = A. [resolve(74,a,69,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B)),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C)). [resolve(74,a,70,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),C)). [resolve(74,a,71,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A). [resolve(74,a,72,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B). [resolve(74,a,73,a)].
% 1.10/1.62 75 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.10/1.62 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(hAPP(hAPP(c_in(tc_bool),A),C)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(75,a,51,a)].
% 1.10/1.62 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(75,a,52,a)].
% 1.10/1.62 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(75,a,53,a)].
% 1.10/1.62 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(75,a,54,a)].
% 1.10/1.62 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(75,a,55,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -c_lessequals(A,B,tc_bool). [resolve(75,a,58,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | c_lessequals(A,B,tc_bool). [resolve(75,a,59,a)].
% 1.10/1.62 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -c_lessequals(B,A,tc_bool). [resolve(75,a,60,a)].
% 1.10/1.62 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(75,a,61,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(75,a,62,a)].
% 1.10/1.62 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(75,a,63,a)].
% 1.10/1.62 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_HOL_Oord__class_Oless(A,B,tc_bool). [resolve(75,a,66,a)].
% 1.10/1.62 Derived: c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C),tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool). [resolve(75,a,67,a)].
% 1.54/1.85 Derived: c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A,hAPP(hAPP(c_Set_Oinsert(tc_bool),B),C),tc_bool,tc_bool) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A,C,tc_bool,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(75,a,68,a)].
% 1.54/1.85 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(75,a,69,a)].
% 1.54/1.85 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(75,a,70,a)].
% 1.54/1.85 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(75,a,71,a)].
% 1.54/1.85 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(75,a,72,a)].
% 1.54/1.85 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(75,a,73,a)].
% 1.54/1.85 76 class_Ring__and__Field_Ono__zero__divisors(tc_nat) # label(clsarity_nat__Ring__and__Field_Ono__zero__divisors) # label(axiom). [assumption].
% 1.54/1.85 77 -class_Ring__and__Field_Ono__zero__divisors(A) | -class_Ring__and__Field_Ocomm__semiring__1(A) | hAPP(B,C) != c_HOL_Ozero__class_Ozero(A) | -hBOOL(hAPP(hAPP(c_in(D),C),E)) | -c_Finite__Set_Ofinite(E,D) | c_Finite__Set_Osetprod(B,E,D,A) = c_HOL_Ozero__class_Ozero(A) # label(cls_setprod__zero__iff_2) # label(axiom). [assumption].
% 1.54/1.85 Derived: -class_Ring__and__Field_Ocomm__semiring__1(tc_nat) | hAPP(A,B) != c_HOL_Ozero__class_Ozero(tc_nat) | -hBOOL(hAPP(hAPP(c_in(C),B),D)) | -c_Finite__Set_Ofinite(D,C) | c_Finite__Set_Osetprod(A,D,C,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat). [resolve(76,a,77,a)].
% 1.54/1.85
% 1.54/1.85 ============================== end predicate elimination =============
% 1.54/1.85
% 1.54/1.85 Auto_denials: (non-Horn, no changes).
% 1.54/1.85
% 1.54/1.85 Term ordering decisions:
% 1.54/1.85 Function symbol KB weights: tc_bool=1. tc_nat=1. t_a=1. tc_Com_Ostate=1. tc_Com_Ocom=1. tc_Com_Opname=1. t_b=1. c_Com_Ocom_OBODY=1. v_x=1. c_Natural_Oevalc=1. c_Com_Obody=1. c_Com_Ocom_OSKIP=1. v_Procs=1. v_c=1. v_G=1. hAPP=1. tc_fun=1. c_Finite__Set_Ocard=1. c_Finite__Set_Osetsum=1. c_Complete__Lattice_OSup__class_OSup=1. c_Com_Ocom_OSemi=1. v_sko__Hoare__Mirabelle__Xconseq1__1=1. v_sko__Hoare__Mirabelle__Xconseq1__2=1. v_sko__Hoare__Mirabelle__Xconseq2__1=1. v_sko__Hoare__Mirabelle__Xconseq2__2=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Orderings_Obot__class_Obot=1. c_Set_Oinsert=1. c_in=1. tc_Hoare__Mirabelle_Otriple=1. c_HOL_Ominus__class_Ominus=1. c_Orderings_Otop__class_Otop=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Suc=1. c_HOL_Ozero__class_Ozero=1. c_Option_Othe=1. c_fequal=1. c_Hoare__Mirabelle_OMGT=1. tc_Option_Ooption=1. c_Set_Oimage=1. c_Set_Ovimage=1. c_COMBK=1. c_Relation_OImage=1. c_ATP__Linkup_Osko__Finite__Set__Xcard__Suc__eq__1__2=1. c_ATP__Linkup_Osko__Finite__Set__Xcard__eq__SucD__1__2=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_Complete__Lattice_Ocomplete__lattice__class_OINFI=1. c_COMBC=1. c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1=1. c_Finite__Set_Osetprod=1. c_Natural_Osko__Natural__Xevaln__elim__cases__6__1=1. v_sko__Hoare__Mirabelle__Xconseq12__1=1. v_sko__Hoare__Mirabelle__Xconseq12__2=1. v_sko__Hoare__Mirabelle__Xconseq12__3=1. v_sko__Hoare__Mirabelle__Xescape__1=1. v_sko__Hoare__Mirabelle__Xescape__2=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1=1. Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------