TSTP Solution File: SWV832-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV832-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n010.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 72.58s 73.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.58 % Problem : SWV832-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.59 % Command : tptp2X_and_run_prover9 %d %s
% 0.16/0.80 % Computer : n010.cluster.edu
% 0.16/0.80 % Model : x86_64 x86_64
% 0.16/0.80 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.80 % Memory : 8042.1875MB
% 0.16/0.80 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.80 % CPULimit : 300
% 0.16/0.80 % WCLimit : 600
% 0.16/0.80 % DateTime : Wed Jun 15 01:48:24 EDT 2022
% 0.16/0.80 % CPUTime :
% 0.94/1.72 ============================== Prover9 ===============================
% 0.94/1.72 Prover9 (32) version 2009-11A, November 2009.
% 0.94/1.72 Process 28454 was started by sandbox2 on n010.cluster.edu,
% 0.94/1.72 Wed Jun 15 01:48:25 2022
% 0.94/1.72 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28301_n010.cluster.edu".
% 0.94/1.72 ============================== end of head ===========================
% 0.94/1.72
% 0.94/1.72 ============================== INPUT =================================
% 0.94/1.72
% 0.94/1.72 % Reading from file /tmp/Prover9_28301_n010.cluster.edu
% 0.94/1.72
% 0.94/1.72 set(prolog_style_variables).
% 0.94/1.72 set(auto2).
% 0.94/1.72 % set(auto2) -> set(auto).
% 0.94/1.72 % set(auto) -> set(auto_inference).
% 0.94/1.72 % set(auto) -> set(auto_setup).
% 0.94/1.72 % set(auto_setup) -> set(predicate_elim).
% 0.94/1.72 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.94/1.72 % set(auto) -> set(auto_limits).
% 0.94/1.72 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.94/1.72 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.94/1.72 % set(auto) -> set(auto_denials).
% 0.94/1.72 % set(auto) -> set(auto_process).
% 0.94/1.72 % set(auto2) -> assign(new_constants, 1).
% 0.94/1.72 % set(auto2) -> assign(fold_denial_max, 3).
% 0.94/1.72 % set(auto2) -> assign(max_weight, "200.000").
% 0.94/1.72 % set(auto2) -> assign(max_hours, 1).
% 0.94/1.72 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.94/1.72 % set(auto2) -> assign(max_seconds, 0).
% 0.94/1.72 % set(auto2) -> assign(max_minutes, 5).
% 0.94/1.72 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.94/1.72 % set(auto2) -> set(sort_initial_sos).
% 0.94/1.72 % set(auto2) -> assign(sos_limit, -1).
% 0.94/1.72 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.94/1.72 % set(auto2) -> assign(max_megs, 400).
% 0.94/1.72 % set(auto2) -> assign(stats, some).
% 0.94/1.72 % set(auto2) -> clear(echo_input).
% 0.94/1.72 % set(auto2) -> set(quiet).
% 0.94/1.72 % set(auto2) -> clear(print_initial_clauses).
% 0.94/1.72 % set(auto2) -> clear(print_given).
% 0.94/1.72 assign(lrs_ticks,-1).
% 0.94/1.72 assign(sos_limit,10000).
% 0.94/1.72 assign(order,kbo).
% 0.94/1.72 set(lex_order_vars).
% 0.94/1.72 clear(print_given).
% 0.94/1.72
% 0.94/1.72 % formulas(sos). % not echoed (532 formulas)
% 0.94/1.72
% 0.94/1.72 ============================== end of input ==========================
% 0.94/1.72
% 0.94/1.72 % From the command line: assign(max_seconds, 300).
% 0.94/1.72
% 0.94/1.72 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.94/1.72
% 0.94/1.72 % Formulas that are not ordinary clauses:
% 0.94/1.72
% 0.94/1.72 ============================== end of process non-clausal formulas ===
% 0.94/1.72
% 0.94/1.72 ============================== PROCESS INITIAL CLAUSES ===============
% 0.94/1.72
% 0.94/1.72 ============================== PREDICATE ELIMINATION =================
% 0.94/1.72 1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 10 -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].
% 0.94/1.72 11 -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].
% 0.94/1.72 12 -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].
% 0.94/1.72 13 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B) # label(cls_sup__commute_0) # label(axiom). [assumption].
% 0.94/1.72 14 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) # label(cls_sup__left__idem_0) # label(axiom). [assumption].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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,10,a)].
% 0.94/1.72 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,11,a)].
% 0.94/1.72 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,12,a)].
% 0.94/1.72 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,13,a)].
% 0.94/1.72 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,14,a)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 0.94/1.72 23 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.94/1.72 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(23,a,2,a)].
% 0.94/1.72 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)].
% 0.94/1.72 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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,10,a)].
% 1.06/1.77 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,11,a)].
% 1.06/1.77 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,12,a)].
% 1.06/1.77 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,13,a)].
% 1.06/1.77 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,14,a)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 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)].
% 1.06/1.77 24 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.06/1.77 25 -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].
% 1.06/1.77 26 -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].
% 1.06/1.77 27 -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].
% 1.06/1.77 28 -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].
% 1.06/1.77 29 -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].
% 1.06/1.77 30 -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].
% 1.06/1.77 31 -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].
% 1.06/1.77 32 -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].
% 1.06/1.77 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),C),D))) # label(cls_le__infE_0) # label(axiom). [assumption].
% 1.06/1.77 34 -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].
% 1.06/1.77 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),B),D)) # label(cls_le__infI1_0) # label(axiom). [assumption].
% 1.06/1.77 36 -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].
% 1.06/1.77 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),C),D))) # label(cls_le__inf__iff_0) # label(axiom). [assumption].
% 1.06/1.77 38 -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].
% 1.06/1.77 39 -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].
% 1.06/1.77 40 -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].
% 1.06/1.77 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_le__infI_0) # label(axiom). [assumption].
% 1.06/1.77 42 -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].
% 1.06/1.77 43 -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].
% 1.06/1.77 44 -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].
% 1.06/1.77 45 -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].
% 1.06/1.77 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,25,a)].
% 1.06/1.77 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,26,a)].
% 1.06/1.77 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,27,a)].
% 1.06/1.77 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,28,a)].
% 1.06/1.77 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,29,a)].
% 1.06/1.77 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,30,a)].
% 1.06/1.77 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,31,a)].
% 1.06/1.77 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,32,a)].
% 1.06/1.77 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,33,a)].
% 1.06/1.77 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,34,a)].
% 1.06/1.77 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,35,a)].
% 1.06/1.77 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,36,a)].
% 1.06/1.77 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,39,a)].
% 1.06/1.77 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,42,a)].
% 1.06/1.77 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,43,a)].
% 1.06/1.77 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,44,a)].
% 1.06/1.77 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,A)),C),C) = C. [resolve(24,a,45,a)].
% 1.06/1.77 46 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom). [assumption].
% 1.13/1.85 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = A | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(46,a,25,a)].
% 1.13/1.85 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) != A | hBOOL(hAPP(hAPP(c_lessequals(tc_bool),A),B)). [resolve(46,a,26,a)].
% 1.13/1.85 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B) = B | -hBOOL(hAPP(hAPP(c_lessequals(tc_bool),B),A)). [resolve(46,a,27,a)].
% 1.13/1.85 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(46,a,28,a)].
% 1.13/1.85 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(46,a,29,a)].
% 1.13/1.85 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(46,a,30,a)].
% 1.13/1.85 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(46,a,31,a)].
% 1.13/1.85 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(46,a,32,a)].
% 1.13/1.85 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(46,a,33,a)].
% 1.13/1.85 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(46,a,34,a)].
% 1.13/1.85 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(46,a,35,a)].
% 1.13/1.85 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(46,a,36,a)].
% 1.13/1.85 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(46,a,39,a)].
% 1.13/1.85 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),B)). [resolve(46,a,42,a)].
% 1.13/1.85 Derived: hBOOL(hAPP(hAPP(c_lessequals(tc_bool),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),B)),A)). [resolve(46,a,43,a)].
% 1.13/1.85 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(46,a,44,a)].
% 1.13/1.85 Derived: hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_bool),A),A) = A. [resolve(46,a,45,a)].
% 1.13/1.85
% 1.13/1.85 ============================== end predicate elimination =============
% 1.13/1.85
% 1.13/1.85 Auto_denials: (non-Horn, no changes).
% 1.13/1.85
% 1.13/1.85 Term ordering decisions:
% 1.13/1.85 Function symbol KB weights: tc_bool=1. t_a=1. v_P=1. v_x=1. t_b=1. v_Q=1. c_and=1. tc_Com_Ostate=1. v_R=1. c_Not=1. t_c=1. c_Com_Ocom_OSKIP=1. c_or=1. tc_Com_Ocom=1. v_C=1. v_G=1. v_c=1. hAPP=1. tc_fun=1. c_Collect=1. c_List_Oset=1. c_Hilbert__Choice_OEps=1. c_Com_Ocom_OSemi=1. c_Com_Ocom_OWhile=1. c_The=1. c_COMBI=1. c_Nitpick_Osko__Nitpick__XEx1__def__1__3=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_Set_Ocontents=1. c_lessequals=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Orderings_Obot__class_Obot=1. c_Lattices_Olower__semilattice__class_Oinf=1. tc_Hoare__Mirabelle_Otriple=1. c_HOL_Oord__class_Oless=1. c_Orderings_Otop__class_Otop=1. c_fequal=1. c_Complete__Lattice_OInf__class_OInf=1. c_Complete__Lattice_OSup__class_OSup=1. c_Com_Ocom_OBODY=1. c_Com_Obody=1. c_Set_Oinsert=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_COMBC=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_COMBK=1. c_Com_Ocom_OCond=1. c_List_Ofilter=1. c_Hoare__Mirabelle_Opeek__and=1. c_Finite__Set_Ofold1=1. c_Finite__Set_Ofold1Set=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_COMBB=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_COMBS=1. c_List_Ofoldl=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 2.49/3.24
% 2.49/3.24 ============================== end of process initial clauses ========
% 2.49/3.24
% 2.49/3.24 ============================== CLAUSES FOR SEARCH ====================
% 2.49/3.24
% 2.49/3.24 ============================== end of clauses for search =============
% 2.49/3.24
% 2.49/3.24 ============================== SEARCH ================================
% 2.49/3.24
% 2.49/3.24 % Starting search at 0.21 seconds.
% 2.49/3.24
% 2.49/3.24 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 74 (0.00 of 0.53 sec).
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=74.000, iters=3591
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=67.000, iters=3551
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=51.000, iters=3364
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=50.000, iters=3400
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=49.000, iters=3370
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=47.000, iters=3359
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=46.000, iters=3371
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=45.000, iters=3359
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=44.000, iters=3340
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=43.000, iters=3342
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=42.000, iters=3358
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=40.000, iters=3441
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=38.000, iters=3396
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=37.000, iters=3415
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=36.000, iters=3398
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=35.000, iters=3341
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=34.000, iters=3349
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=33.000, iters=3348
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=32.000, iters=3409
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=31.000, iters=3362
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=30.000, iters=3379
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=29.000, iters=3658
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=28.000, iters=3393
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=27.000, iters=3340
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=26.000, iters=3355
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=25.000, iters=3342
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=24.000, iters=3352
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=3342, wt=144.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=8118, wt=57.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=8123, wt=55.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10424, wt=53.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=6282, wt=52.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=9645, wt=50.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10422, wt=49.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=6279, wt=48.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=8116, wt=47.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10524, wt=46.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10260, wt=45.000
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=23.000, iters=3346
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=8093, wt=44.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=11400, wt=43.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10517, wt=42.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10268, wt=41.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10265, wt=40.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10516, wt=39.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=10522, wt=38.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=8110, wt=37.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=11399, wt=36.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=9643, wt=35.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=11551, wt=34.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=11860, wt=21.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=11864, wt=20.000
% 2.49/3.24
% 2.49/3.24 Low Water (displace): id=12255, wt=19.000
% 2.49/3.24
% 2.49/3.24 Low Water (keep): wt=22.000, iters=3342
% 72.58/73.29
% 72.58/73.29 Low Water (keep): wt=21.000, iters=3334
% 72.58/73.29
% 72.58/73.29 Low Water (keep): wt=20.000, iters=3333
% 72.58/73.29
% 72.58/73.29 Low Water (keep): wt=19.000, iters=3339
% 72.58/73.29
% 72.58/73.29 Low Water (displace): id=287027, wt=18.000
% 72.58/73.29
% 72.58/73.29 Low Water (displace): id=343212, wt=17.000
% 72.58/73.29
% 72.58/73.29 Low Water (keep): wt=18.000, iters=3336
% 72.58/73.29
% 72.58/73.29 ============================== STATISTICS ============================
% 72.58/73.29
% 72.58/73.29 Given=9575. Generated=2390937. Kept=452966. proofs=0.
% 72.58/73.29 Usable=8682. Sos=9996. Demods=991. Limbo=69, Disabled=434819. Hints=0.
% 72.58/73.29 Kept_by_rule=0, Deleted_by_rule=1.
% 72.58/73.29 Forward_subsumed=639942. Back_subsumed=36.
% 72.58/73.29 Sos_limit_deleted=1298027. Sos_displaced=431354. Sos_removed=0.
% 72.58/73.29 New_demodulators=1648 (2 lex), Back_demodulated=2710. Back_unit_deleted=119.
% 72.58/73.29 Demod_attempts=52565262. Demod_rewrites=385403.
% 72.58/73.29 Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 72.58/73.29 Nonunit_fsub_feature_tests=720564. Nonunit_bsub_feature_tests=9491.
% 72.58/73.29 Megabytes=419.43.
% 72.58/73.29 User_CPU=70.21, System_CPU=1.44, Wall_clock=72.
% 72.58/73.29
% 72.58/73.29 Megs malloced by palloc(): 400.
% 72.58/73.29 type (bytes each) gets frees in use bytes
% 72.58/73.29 chunk ( 104) 16091 16091 0 0.0 K
% 72.58/73.29 string_buf ( 8) 14989 14989 0 0.0 K
% 72.58/73.29 token ( 20) 33414 33414 0 0.0 K
% 72.58/73.29 pterm ( 16) 23478 23478 0 0.0 K
% 72.58/73.29 hashtab ( 8) 0 0 0 0.0 K
% 72.58/73.29 hashnode ( 8) 0 0 0 0.0 K
% 72.58/73.29 term ( 20) 91468293 82045164 9423129 184045.5 K
% 72.58/73.29 term arg arrays: 52465.5 K
% 72.58/73.29 attribute ( 12) 1720 112 1608 18.8 K
% 72.58/73.29 ilist ( 8) 484768490 482788167 1980323 15471.3 K
% 72.58/73.29 plist ( 8) 13462217 12962495 499722 3904.1 K
% 72.58/73.29 i2list ( 12) 23685898 23685898 0 0.0 K
% 72.58/73.29 just ( 12) 2745986 2262520 483466 5665.6 K
% 72.58/73.29 parajust ( 16) 956535 834883 121652 1900.8 K
% 72.58/73.29 instancejust ( 8) 0 0 0 0.0 K
% 72.58/73.29 ivyjust ( 24) 0 0 0 0.0 K
% 72.58/73.29 formula ( 28) 2707 2707 0 0.0 K
% 72.58/73.29 formula arg arrays: 0.0 K
% 72.58/73.29 topform ( 52) 2391553 1937970 453583 23033.5 K
% 72.58/73.29 clist_pos ( 20) 1352965 898408 454557 8878.1 K
% 72.58/73.29 clist ( 16) 8 1 7 0.1 K
% 72.58/73.29 context ( 808) 13513333 13513331 2 1.6 K
% 72.58/73.29 trail ( 12) 8129657 8129656 1 0.0 K
% 72.58/73.29 ac_match_pos (70044) 0 0 0 0.0 K
% 72.58/73.29 ac_match_free_vars_pos (20020)
% 72.58/73.29 0 0 0 0.0 K
% 72.58/73.29 btm_state ( 60) 0 0 0 0.0 K
% 72.58/73.29 btu_state ( 60) 0 0 0 0.0 K
% 72.58/73.29 ac_position (285432) 0 0 0 0.0 K
% 72.58/73.29 fpa_trie ( 20) 5221699 4680360 541339 10573.0 K
% 72.58/73.29 fpa_state ( 28) 3742531 3742528 3 0.1 K
% 72.58/73.29 fpa_index ( 12) 10 0 10 0.1 K
% 72.58/73.29 fpa_chunk ( 20) 6400054 6319442 80612 1574.5 K
% 72.58/73.29 fpa_list ( 16) 4724751 0 4724751 73824.2 K
% 72.58/73.29 fpa_list chunks: 5001.0 K
% 72.58/73.29 discrim ( 12) 6656251 6529531 126720 1485.0 K
% 72.58/73.29 discrim_pos ( 16) 2007654 2007654 0 0.0 K
% 72.58/73.29 flat2 ( 32) 46733301 46733301 0 0.0 K
% 72.58/73.29 flat ( 48) 0 0 0 0.0 K
% 72.58/73.29 flatterm ( 32) 88928548 88928548 0 0.0 K
% 72.58/73.29 mindex ( 28) 13 0 13 0.4 K
% 72.58/73.29 mindex_pos ( 56) 7187286 7187285 1 0.1 K
% 72.58/73.29 lindex ( 12) 5 0 5 0.1 K
% 72.58/73.29 clash ( 40) 0 0 0 0.0 K
% 72.58/73.29 di_tree ( 12) 8080304 6806175 1274129 14931.2 K
% 72.58/73.29 avl_node ( 20) 905309 885317 19992 390.5 K
% 72.58/73.29
% 72.58/73.29 Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 72.58/73.29 List 1, length 627, 2.4 K
% 72.58/73.29 List 2, length 340, 2.7 K
% 72.58/73.29 List 3, length 14158, 165.9 K
% 72.58/73.29 List 4, length 1, 0.0 K
% 72.58/73.29 List 5, length 6, 0.1 K
% 72.58/73.29 List 6, length 2, 0.0 K
% 72.58/73.29 List 8, length 56, 1.8 K
% 72.58/73.29 List 9, length 1, 0.0 K
% 72.58/73.29 List 10, length 5, 0.2 K
% 72.58/73.29 List 11, length 4, 0.2 K
% 72.58/73.29 List 12, length 2, 0.1 K
% 72.58/73.29 List 14, length 2, 0.1 K
% 72.58/73.29 List 16, length 259, 16.2 K
% 72.58/73.29 List 26, length 81, 8.2 K
% 72.58/73.29 List 32, length 78, 9.8 K
% 72.58/73.29 List 64, length 221, 55.2 K
% 72.58/73.29 List 128, length 22, 11.0 K
% 72.58/73.29 List 202, length 2, 1.6 K
% 72.58/73.29 List 256, length 233, 233.0 K
% 72.58/73.29
% 72.58/73.29 ============================== SELECTOR REPORT =======================
% 72.58/73.29 Sos_deleted=1298027, Sos_displaced=431354, Sos_size=9996
% 72.58/73.29 SELECTOR PART PRIORITY ORDER SIZE SELECTED
% 72.58/73.29 I 2147483647 high age 0 431
% 72.58/73.29 H 1 high weight 0 0
% 72.58/73.29 A 1 low age 9996 1016
% 72.58/73.29 F 4 low weight 1459 4064
% 72.58/73.29 T 4 low weight 8537 4064
% 72.58/73.29 ============================== end of selector report ================
% 72.58/73.29
% 72.58/73.29 ============================== end of statistics =====================
% 72.58/73.29
% 72.58/73.29 Exiting with failure.
% 72.58/73.29
% 72.58/73.29 Process 28454 exit (max_megs) Wed Jun 15 01:49:37 2022
% 72.58/73.29 Prover9 interrupted
%------------------------------------------------------------------------------