TSTP Solution File: SWV833-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV833-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 21:14:58 EDT 2022
% Result : Unknown 172.00s 172.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV833-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 10:18:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.02/1.39 ============================== Prover9 ===============================
% 1.02/1.39 Prover9 (32) version 2009-11A, November 2009.
% 1.02/1.39 Process 12393 was started by sandbox2 on n015.cluster.edu,
% 1.02/1.39 Wed Jun 15 10:18:26 2022
% 1.02/1.39 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_12239_n015.cluster.edu".
% 1.02/1.39 ============================== end of head ===========================
% 1.02/1.39
% 1.02/1.39 ============================== INPUT =================================
% 1.02/1.39
% 1.02/1.39 % Reading from file /tmp/Prover9_12239_n015.cluster.edu
% 1.02/1.39
% 1.02/1.39 set(prolog_style_variables).
% 1.02/1.39 set(auto2).
% 1.02/1.39 % set(auto2) -> set(auto).
% 1.02/1.39 % set(auto) -> set(auto_inference).
% 1.02/1.39 % set(auto) -> set(auto_setup).
% 1.02/1.39 % set(auto_setup) -> set(predicate_elim).
% 1.02/1.39 % set(auto_setup) -> assign(eq_defs, unfold).
% 1.02/1.39 % set(auto) -> set(auto_limits).
% 1.02/1.39 % set(auto_limits) -> assign(max_weight, "100.000").
% 1.02/1.39 % set(auto_limits) -> assign(sos_limit, 20000).
% 1.02/1.39 % set(auto) -> set(auto_denials).
% 1.02/1.39 % set(auto) -> set(auto_process).
% 1.02/1.39 % set(auto2) -> assign(new_constants, 1).
% 1.02/1.39 % set(auto2) -> assign(fold_denial_max, 3).
% 1.02/1.39 % set(auto2) -> assign(max_weight, "200.000").
% 1.02/1.39 % set(auto2) -> assign(max_hours, 1).
% 1.02/1.39 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.02/1.39 % set(auto2) -> assign(max_seconds, 0).
% 1.02/1.39 % set(auto2) -> assign(max_minutes, 5).
% 1.02/1.39 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.02/1.39 % set(auto2) -> set(sort_initial_sos).
% 1.02/1.39 % set(auto2) -> assign(sos_limit, -1).
% 1.02/1.39 % set(auto2) -> assign(lrs_ticks, 3000).
% 1.02/1.39 % set(auto2) -> assign(max_megs, 400).
% 1.02/1.39 % set(auto2) -> assign(stats, some).
% 1.02/1.39 % set(auto2) -> clear(echo_input).
% 1.02/1.39 % set(auto2) -> set(quiet).
% 1.02/1.39 % set(auto2) -> clear(print_initial_clauses).
% 1.02/1.39 % set(auto2) -> clear(print_given).
% 1.02/1.39 assign(lrs_ticks,-1).
% 1.02/1.39 assign(sos_limit,10000).
% 1.02/1.39 assign(order,kbo).
% 1.02/1.39 set(lex_order_vars).
% 1.02/1.39 clear(print_given).
% 1.02/1.39
% 1.02/1.39 % formulas(sos). % not echoed (645 formulas)
% 1.02/1.39
% 1.02/1.39 ============================== end of input ==========================
% 1.02/1.39
% 1.02/1.39 % From the command line: assign(max_seconds, 300).
% 1.02/1.39
% 1.02/1.39 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.02/1.39
% 1.02/1.39 % Formulas that are not ordinary clauses:
% 1.02/1.39
% 1.02/1.39 ============================== end of process non-clausal formulas ===
% 1.02/1.39
% 1.02/1.39 ============================== PROCESS INITIAL CLAUSES ===============
% 1.02/1.39
% 1.02/1.39 ============================== PREDICATE ELIMINATION =================
% 1.02/1.39 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.02/1.39 2 -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].
% 1.02/1.39 3 -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].
% 1.02/1.39 4 -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].
% 1.02/1.39 5 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) # label(cls_le__supI_0) # label(axiom). [assumption].
% 1.02/1.39 6 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 1.02/1.39 7 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B))) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 1.02/1.39 8 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) # label(cls_sup__least_0) # label(axiom). [assumption].
% 1.02/1.39 9 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 1.02/1.39 10 -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].
% 1.02/1.39 11 -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].
% 1.02/1.39 12 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = B | -hBOOL(hAPP(hAPP(c_lessequals(A),C),B)) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 1.02/1.39 13 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) != C | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 1.02/1.39 14 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = C | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 1.02/1.39 15 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),C)) # label(cls_less__supI1_0) # label(axiom). [assumption].
% 1.02/1.39 16 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)) # label(cls_less__supI2_0) # label(axiom). [assumption].
% 1.02/1.39 17 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 1.02/1.39 18 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 1.02/1.39 19 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 1.02/1.39 20 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 1.02/1.39 21 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B)),C)) # label(cls_le__supE_1) # label(axiom). [assumption].
% 1.02/1.39 22 -class_Lattices_Oupper__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),C)) # label(cls_le__supE_0) # label(axiom). [assumption].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(1,a,2,a)].
% 1.02/1.39 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(1,a,3,a)].
% 1.02/1.39 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(1,a,4,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D)),E)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),D),E)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),E)). [resolve(1,a,5,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D))). [resolve(1,a,6,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),C))). [resolve(1,a,7,a)].
% 1.02/1.39 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(1,a,10,a)].
% 1.02/1.39 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(1,a,11,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = C | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),D),C)). [resolve(1,a,12,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) != D | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(1,a,13,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),D) = D | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(1,a,14,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),D)). [resolve(1,a,15,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),E)). [resolve(1,a,16,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),E),C)),D)). [resolve(1,a,17,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),E)),D)). [resolve(1,a,18,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),E)). [resolve(1,a,19,a)].
% 1.02/1.39 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),D),E))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(1,a,20,a)].
% 1.02/1.39 23 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 1.02/1.39 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(23,a,2,a)].
% 1.02/1.39 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(23,a,3,a)].
% 1.02/1.39 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(23,a,4,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B)),C)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),C)). [resolve(23,a,5,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B))). [resolve(23,a,6,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A))). [resolve(23,a,7,a)].
% 1.02/1.42 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(23,a,10,a)].
% 1.02/1.42 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(23,a,11,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),B),A)). [resolve(23,a,12,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(23,a,13,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(23,a,14,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),A),B)). [resolve(23,a,15,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C))) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),A),C)). [resolve(23,a,16,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),C),A)),B)). [resolve(23,a,17,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),C)),B)). [resolve(23,a,18,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),C)). [resolve(23,a,19,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),C))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(23,a,20,a)].
% 1.02/1.42 24 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.02/1.42 25 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(c_in(C,D,A)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,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].
% 1.02/1.42 26 -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].
% 1.02/1.42 27 -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].
% 1.02/1.42 28 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = B | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__iff__inf_0) # label(axiom). [assumption].
% 1.02/1.42 29 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) != B | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__iff__inf_1) # label(axiom). [assumption].
% 1.02/1.42 30 -class_Lattices_Olower__semilattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C) = C | -hBOOL(hAPP(hAPP(c_lessequals(A),C),B)) # label(cls_inf__absorb2_0) # label(axiom). [assumption].
% 1.02/1.42 31 -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].
% 1.02/1.42 32 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))) # label(cls_le__infE_0) # label(axiom). [assumption].
% 1.02/1.42 33 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))) # label(cls_le__infE_1) # label(axiom). [assumption].
% 1.02/1.42 34 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 1.02/1.42 35 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),C),D)) # label(cls_le__infI2_0) # label(axiom). [assumption].
% 1.02/1.42 36 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 1.02/1.42 37 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C))) # label(cls_le__inf__iff_1) # label(axiom). [assumption].
% 1.02/1.42 38 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),C),D)) # label(cls_less__infI2_0) # label(axiom). [assumption].
% 1.02/1.42 39 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(A),B),D)) # label(cls_less__infI1_0) # label(axiom). [assumption].
% 1.02/1.42 40 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A)),C)) | -hBOOL(c_in(C,B,A)) | -c_Finite__Set_Ofinite(B,A) # label(cls_fold1__belowI_0) # label(axiom). [assumption].
% 1.02/1.42 41 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_inf__greatest_0) # label(axiom). [assumption].
% 1.02/1.42 42 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__inf__iff_2) # label(axiom). [assumption].
% 1.02/1.42 43 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),D)) | -hBOOL(hAPP(hAPP(c_lessequals(A),B),C)) # label(cls_le__infI_0) # label(axiom). [assumption].
% 1.02/1.42 44 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),C)) # label(cls_inf__le2_0) # label(axiom). [assumption].
% 1.02/1.42 45 -class_Lattices_Olower__semilattice(A) | hBOOL(hAPP(hAPP(c_lessequals(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),B)) # label(cls_inf__le1_0) # label(axiom). [assumption].
% 1.02/1.42 46 -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].
% 1.02/1.42 47 -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].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)) | -hBOOL(c_in(D,E,tc_fun(B,A))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),E,tc_fun(B,A)))) | E = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(B,A),tc_bool)) | -c_Finite__Set_Ofinite(E,tc_fun(B,A)). [resolve(24,a,25,a)].
% 1.02/1.42 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(24,a,26,a)].
% 1.02/1.42 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(24,a,27,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = C | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(24,a,28,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) != C | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(24,a,29,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D) = D | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),D),C)). [resolve(24,a,30,a)].
% 1.02/1.42 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(24,a,31,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E))). [resolve(24,a,32,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),E),D))). [resolve(24,a,33,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),E)). [resolve(24,a,34,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),D),E)). [resolve(24,a,35,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),D),E)). [resolve(24,a,38,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),E)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(B,A)),C),E)). [resolve(24,a,39,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C,tc_fun(B,A))),D)) | -hBOOL(c_in(D,C,tc_fun(B,A))) | -c_Finite__Set_Ofinite(C,tc_fun(B,A)). [resolve(24,a,40,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),D),E))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),E)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),C),D)). [resolve(24,a,41,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),D)). [resolve(24,a,44,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(B,A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),D)),C)). [resolve(24,a,45,a)].
% 1.02/1.42 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(24,a,46,a)].
% 1.02/1.42 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(24,a,47,a)].
% 1.02/1.42 48 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)) | -hBOOL(c_in(B,C,tc_bool)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C,tc_bool))) | C = c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)) | -c_Finite__Set_Ofinite(C,tc_bool). [resolve(48,a,25,a)].
% 1.02/1.42 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(48,a,26,a)].
% 1.02/1.42 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(48,a,27,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = A | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(48,a,28,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) != A | hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(48,a,29,a)].
% 1.02/1.42 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = B | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),B),A)). [resolve(48,a,30,a)].
% 1.02/1.42 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(48,a,31,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C))). [resolve(48,a,32,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),C),B))). [resolve(48,a,33,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),C)). [resolve(48,a,34,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),B),C)). [resolve(48,a,35,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),B),C)). [resolve(48,a,38,a)].
% 1.02/1.42 Derived: hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),C)) | -hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_bool),A),C)). [resolve(48,a,39,a)].
% 1.89/2.17 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A,tc_bool)),B)) | -hBOOL(c_in(B,A,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_bool). [resolve(48,a,40,a)].
% 1.89/2.17 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),B),C))) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),C)) | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(48,a,41,a)].
% 1.89/2.17 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),B)). [resolve(48,a,44,a)].
% 1.89/2.17 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),A)). [resolve(48,a,45,a)].
% 1.89/2.17 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(48,a,46,a)].
% 1.89/2.17 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(48,a,47,a)].
% 1.89/2.17
% 1.89/2.17 ============================== end predicate elimination =============
% 1.89/2.17
% 1.89/2.17 Auto_denials: (non-Horn, no changes).
% 1.89/2.17
% 1.89/2.17 Term ordering decisions:
% 1.89/2.17 Function symbol KB weights: tc_bool=1. t_a=1. v_x=1. c_and=1. tc_Com_Ostate=1. c_Not=1. c_or=1. t_b=1. v_P=1. c_Com_Ocom_OSKIP=1. c_implies=1. tc_Com_Ocom=1. v_G=1. v_b=1. v_c=1. hAPP=1. tc_fun=1. c_Collect=1. c_Com_Ocom_OSemi=1. c_Com_Ocom_OWhile=1. c_The=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__3=1. c_Set_Ocontents=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_Option_Othe=1. c_lessequals=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Set_Oinsert=1. c_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_HOL_Ominus__class_Ominus=1. c_Orderings_Otop__class_Otop=1. c_HOL_Oord__class_Oless=1. c_fequal=1. c_Complete__Lattice_OInf__class_OInf=1. c_Complete__Lattice_OSup__class_OSup=1. c_COMBI=1. c_Com_Ocom_OBODY=1. c_Com_Obody=1. c_Ex=1. c_in=1. c_COMBB=1. c_COMBS=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_COMBK=1. c_Com_Ocom_OCond=1. c_Finite__Set_Ofold1=1. c_List_Olistsp=1. c_List_Ofilter=1. c_Hoare__Mirabelle_Opeek__and=1. c_Finite__Set_Ofold1Set=1. c_Set_Oimage=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_COMBC=1. c_List_Omap=1. c_Hoare__Mirabelle_Otriple_Otriple__case=1. c_List_Osko__List__Xfoldl__apply__inv__1__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. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2=1. c_Hoare__Mirabelle_Otriple_Otriple__rec=1. c_Fun_Ocomp=1. c_List_Ofoldl=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 1.89/2.17
% 1.89/2.17 ============================== end of process initial clauses ========
% 1.89/2.17
% 1.89/2.17 ============================== CLAUSES FOR SEARCH ====================
% 1.89/2.17
% 1.89/2.17 ============================== end of clauses for search =============
% 1.89/2.17
% 1.89/2.17 ============================== SEARCH ================================
% 1.89/2.17
% 1.89/2.17 % Starting search at 0.34 seconds.
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=68.000, iters=3580
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=58.000, iters=3461
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=55.000, iters=3400
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=53.000, iters=3366
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=52.000, iters=3352
% 1.89/2.17
% 1.89/2.17 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 95 (0.00 of 0.83 sec).
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=51.000, iters=3539
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=48.000, iters=3414
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=47.000, iters=3353
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=46.000, iters=3408
% 1.89/2.17
% 1.89/2.17 Low Water (keep): wt=45.000, iters=3346
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=43.000, iters=3379
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=42.000, iters=3364
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=41.000, iters=3336
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=39.000, iters=3451
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=38.000, iters=3418
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=37.000, iters=3506
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=36.000, iters=3422
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=35.000, iters=3391
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=32.000, iters=3368
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=31.000, iters=3369
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=30.000, iters=3471
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=29.000, iters=3358
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=28.000, iters=3530
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=27.000, iters=3333
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=26.000, iters=3364
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=25.000, iters=3344
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=24.000, iters=3373
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=23.000, iters=3508
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=22.000, iters=3521
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=21.000, iters=3343
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=20.000, iters=3334
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3581, wt=146.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2504, wt=142.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2624, wt=132.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4154, wt=129.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2495, wt=124.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2499, wt=117.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2525, wt=114.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2623, wt=112.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3394, wt=109.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2484, wt=107.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4153, wt=105.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2524, wt=104.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2488, wt=100.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2497, wt=99.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2498, wt=97.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2529, wt=95.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3393, wt=93.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2721, wt=90.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3920, wt=89.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3894, wt=87.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3088, wt=84.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4053, wt=82.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3109, wt=81.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3087, wt=80.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3495, wt=79.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2473, wt=78.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4207, wt=77.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=3962, wt=75.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2472, wt=74.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4170, wt=73.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=2232, wt=72.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4263, wt=70.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11648, wt=69.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=4264, wt=67.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11649, wt=66.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=7684, wt=59.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11338, wt=58.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9029, wt=57.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11051, wt=56.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10796, wt=55.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9550, wt=54.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9835, wt=52.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9640, wt=51.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10946, wt=50.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10499, wt=48.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10507, wt=47.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9765, wt=46.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11360, wt=45.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10212, wt=44.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11960, wt=43.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9796, wt=42.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11878, wt=41.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=10219, wt=40.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9780, wt=39.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9008, wt=38.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9771, wt=37.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12056, wt=36.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12059, wt=35.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12053, wt=34.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=11049, wt=33.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12066, wt=32.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=9003, wt=31.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12331, wt=30.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12332, wt=29.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=12365, wt=19.000
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=15253, wt=18.000
% 172.00/172.30
% 172.00/172.30 Low Water (keep): wt=19.000, iters=3333
% 172.00/172.30
% 172.00/172.30 Low Water (displace): id=26247, wt=17.000
% 172.00/172.30
% 172.00/172.30 ============================== STATISTICS ============================
% 172.00/172.30
% 172.00/172.30 Given=20452. Generated=8111296. Kept=447426. proofs=0.
% 172.00/172.30 Usable=20126. Sos=9996. Demods=1377. Limbo=57, Disabled=417964. Hints=0.
% 172.00/172.30 Kept_by_rule=0, Deleted_by_rule=2029.
% 172.00/172.30 Forward_subsumed=1298379. Back_subsumed=43.
% 172.00/172.30 Sos_limit_deleted=6363462. Sos_displaced=416038. Sos_removed=0.
% 172.00/172.30 New_demodulators=1810 (1 lex), Back_demodulated=1158. Back_unit_deleted=8.
% 172.00/172.30 Demod_attempts=230279092. Demod_rewrites=1240065.
% 172.00/172.30 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 172.00/172.30 Nonunit_fsub_feature_tests=923039. Nonunit_bsub_feature_tests=17625.
% 172.00/172.30 Megabytes=419.43.
% 172.00/172.30 User_CPU=166.52, System_CPU=4.49, Wall_clock=171.
% 172.00/172.30
% 172.00/172.30 Megs malloced by palloc(): 400.
% 172.00/172.30 type (bytes each) gets frees in use bytes
% 172.00/172.30 chunk ( 104) 21573 21573 0 0.0 K
% 172.00/172.30 string_buf ( 8) 20091 20091 0 0.0 K
% 172.00/172.30 token ( 20) 45669 45669 0 0.0 K
% 172.00/172.30 pterm ( 16) 32371 32371 0 0.0 K
% 172.00/172.30 hashtab ( 8) 0 0 0 0.0 K
% 172.00/172.30 hashnode ( 8) 0 0 0 0.0 K
% 172.00/172.30 term ( 20) 381608113 371704834 9903279 193423.4 K
% 172.00/172.30 term arg arrays: 54566.1 K
% 172.00/172.30 attribute ( 12) 2076 106 1970 23.1 K
% 172.00/172.30 ilist ( 8) 802503728 800568443 1935285 15119.4 K
% 172.00/172.30 plist ( 8) 13630059 13133803 496256 3877.0 K
% 172.00/172.30 i2list ( 12) 76353393 76353393 0 0.0 K
% 172.00/172.30 just ( 12) 9341669 8853942 487727 5715.6 K
% 172.00/172.30 parajust ( 16) 2969965 2863266 106699 1667.2 K
% 172.00/172.30 instancejust ( 8) 0 0 0 0.0 K
% 172.00/172.30 ivyjust ( 24) 0 0 0 0.0 K
% 172.00/172.30 formula ( 28) 3206 3206 0 0.0 K
% 172.00/172.30 formula arg arrays: 0.0 K
% 172.00/172.30 topform ( 52) 8112030 7663870 448160 22758.1 K
% 172.00/172.30 clist_pos ( 20) 1336275 886755 449520 8779.7 K
% 172.00/172.30 clist ( 16) 8 1 7 0.1 K
% 172.00/172.30 context ( 808) 37465275 37465273 2 1.6 K
% 172.00/172.30 trail ( 12) 25120060 25120058 2 0.0 K
% 172.00/172.30 ac_match_pos (70044) 0 0 0 0.0 K
% 172.00/172.30 ac_match_free_vars_pos (20020)
% 172.00/172.30 0 0 0 0.0 K
% 172.00/172.30 btm_state ( 60) 0 0 0 0.0 K
% 172.00/172.30 btu_state ( 60) 0 0 0 0.0 K
% 172.00/172.30 ac_position (285432) 0 0 0 0.0 K
% 172.00/172.30 fpa_trie ( 20) 3992744 3535929 456815 8922.2 K
% 172.00/172.30 fpa_state ( 28) 4531339 4531339 0 0.0 K
% 172.00/172.30 fpa_index ( 12) 10 0 10 0.1 K
% 172.00/172.30 fpa_chunk ( 20) 5279859 5177301 102558 2003.1 K
% 172.00/172.30 fpa_list ( 16) 3585116 0 3585116 56017.4 K
% 172.00/172.30 fpa_list chunks: 7845.2 K
% 172.00/172.30 discrim ( 12) 6055225 5867607 187618 2198.6 K
% 172.00/172.30 discrim_pos ( 16) 5033279 5033279 0 0.0 K
% 172.00/172.30 flat2 ( 32) 141551232 141551232 0 0.0 K
% 172.00/172.30 flat ( 48) 0 0 0 0.0 K
% 172.00/172.30 flatterm ( 32) 372549258 372549258 0 0.0 K
% 172.00/172.30 mindex ( 28) 13 0 13 0.4 K
% 172.00/172.30 mindex_pos ( 56) 18776773 18776773 0 0.0 K
% 172.00/172.30 lindex ( 12) 5 0 5 0.1 K
% 172.00/172.30 clash ( 40) 0 0 0 0.0 K
% 172.00/172.30 di_tree ( 12) 8589704 6969855 1619849 18982.6 K
% 172.00/172.30 avl_node ( 20) 894131 874139 19992 390.5 K
% 172.00/172.30
% 172.00/172.30 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 172.00/172.30 List 1, length 734, 2.9 K
% 172.00/172.30 List 2, length 339, 2.6 K
% 172.00/172.30 List 3, length 121683, 1426.0 K
% 172.00/172.30 List 8, length 151, 4.7 K
% 172.00/172.30 List 10, length 3, 0.1 K
% 172.00/172.30 List 11, length 4, 0.2 K
% 172.00/172.30 List 14, length 2, 0.1 K
% 172.00/172.30 List 16, length 689, 43.1 K
% 172.00/172.30 List 26, length 115, 11.7 K
% 172.00/172.30 List 32, length 171, 21.4 K
% 172.00/172.30 List 64, length 30, 7.5 K
% 172.00/172.30 List 128, length 93, 46.5 K
% 172.00/172.30 List 202, length 2, 1.6 K
% 172.00/172.30
% 172.00/172.30 ============================== SELECTOR REPORT =======================
% 172.00/172.30 Sos_deleted=6363462, Sos_displaced=416038, Sos_size=9996
% 172.00/172.30 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 172.00/172.30 I 2147483647 high age 0 513
% 172.00/172.30 H 1 high weight 0 0
% 172.00/172.30 A 1 low age 9996 2216
% 172.00/172.30 F 4 low weight 2871 8863
% 172.00/172.30 T 4 low weight 7125 8860
% 172.00/172.30 ============================== end of selector report ================
% 172.00/172.30
% 172.00/172.30 ============================== end of statistics =====================
% 172.00/172.30
% 172.00/172.30 Exiting with failure.
% 172.00/172.30
% 172.00/172.30 Process 12393 exit (max_megs) Wed Jun 15 10:21:17 2022
% 172.00/172.30 Prover9 interrupted
%------------------------------------------------------------------------------