TSTP Solution File: SWV868-1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n009.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 21:15:05 EDT 2022
% Result : Timeout 300.07s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV868-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.31 % Computer : n009.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 15 21:17:23 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.79/1.10 ============================== Prover9 ===============================
% 0.79/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.79/1.10 Process 27437 was started by sandbox2 on n009.cluster.edu,
% 0.79/1.10 Wed Jun 15 21:17:23 2022
% 0.79/1.10 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27283_n009.cluster.edu".
% 0.79/1.10 ============================== end of head ===========================
% 0.79/1.10
% 0.79/1.10 ============================== INPUT =================================
% 0.79/1.10
% 0.79/1.10 % Reading from file /tmp/Prover9_27283_n009.cluster.edu
% 0.79/1.10
% 0.79/1.10 set(prolog_style_variables).
% 0.79/1.10 set(auto2).
% 0.79/1.10 % set(auto2) -> set(auto).
% 0.79/1.10 % set(auto) -> set(auto_inference).
% 0.79/1.10 % set(auto) -> set(auto_setup).
% 0.79/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.79/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.79/1.10 % set(auto) -> set(auto_limits).
% 0.79/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.79/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.79/1.10 % set(auto) -> set(auto_denials).
% 0.79/1.10 % set(auto) -> set(auto_process).
% 0.79/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.79/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.79/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.79/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.79/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.79/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.79/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.79/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.79/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.79/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.79/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.79/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.79/1.10 % set(auto2) -> assign(stats, some).
% 0.79/1.10 % set(auto2) -> clear(echo_input).
% 0.79/1.10 % set(auto2) -> set(quiet).
% 0.79/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.79/1.10 % set(auto2) -> clear(print_given).
% 0.79/1.10 assign(lrs_ticks,-1).
% 0.79/1.10 assign(sos_limit,10000).
% 0.79/1.10 assign(order,kbo).
% 0.79/1.10 set(lex_order_vars).
% 0.79/1.10 clear(print_given).
% 0.79/1.10
% 0.79/1.10 % formulas(sos). % not echoed (548 formulas)
% 0.79/1.10
% 0.79/1.10 ============================== end of input ==========================
% 0.79/1.10
% 0.79/1.10 % From the command line: assign(max_seconds, 300).
% 0.79/1.10
% 0.79/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.79/1.10
% 0.79/1.10 % Formulas that are not ordinary clauses:
% 0.79/1.10
% 0.79/1.10 ============================== end of process non-clausal formulas ===
% 0.79/1.10
% 0.79/1.10 ============================== PROCESS INITIAL CLAUSES ===============
% 0.79/1.10
% 0.79/1.10 ============================== PREDICATE ELIMINATION =================
% 0.79/1.10 1 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom). [assumption].
% 0.79/1.10 2 -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].
% 0.79/1.10 3 -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].
% 0.79/1.10 4 -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].
% 0.79/1.10 5 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(B,D,A) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(D,B,A),c_SetInterval_Oord__class_OatLeastLessThan(E,C,A),tc_fun(A,tc_bool)) # label(cls_atLeastLessThan__subset__iff_1) # label(axiom). [assumption].
% 0.79/1.10 6 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(D,C,A) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),c_SetInterval_Oord__class_OatLeastLessThan(B,E,A),tc_fun(A,tc_bool)) # label(cls_atLeastLessThan__subset__iff_0) # label(axiom). [assumption].
% 0.79/1.10 7 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A)) = c_SetInterval_Oord__class_OgreaterThanAtMost(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I20_J_0) # label(axiom). [assumption].
% 0.79/1.10 8 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A)) = c_SetInterval_Oord__class_OatLeastLessThan(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I17_J_0) # label(axiom). [assumption].
% 0.79/1.10 9 -class_Orderings_Olinorder(A) | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(B,D,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(D,C,A) | -c_lessequals(B,D,A) # label(cls_ivl__diff_0) # label(axiom). [assumption].
% 0.79/1.10 10 -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].
% 0.79/1.10 11 -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].
% 0.79/1.10 12 -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].
% 0.79/1.10 13 -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].
% 0.79/1.10 14 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom). [assumption].
% 0.79/1.10 15 -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].
% 0.79/1.10 16 -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].
% 0.79/1.10 17 -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].
% 0.79/1.10 18 -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].
% 0.79/1.10 19 -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].
% 0.79/1.10 20 -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].
% 0.79/1.10 21 -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].
% 0.79/1.10 22 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A)) = c_SetInterval_Oord__class_OatLeastAtMost(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I21_J_0) # label(axiom). [assumption].
% 0.79/1.10 23 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A)) = c_SetInterval_Oord__class_OatLeastAtMost(B,D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I22_J_0) # label(axiom). [assumption].
% 0.79/1.10 24 -class_Orderings_Olinorder(A) | c_lessequals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A) | -hBOOL(c_in(B,C,A)) | -c_Finite__Set_Ofinite(C,A) # label(cls_Max__ge_0) # label(axiom). [assumption].
% 0.79/1.10 25 -class_Orderings_Olinorder(A) | c_lessequals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A) | -hBOOL(c_in(C,B,A)) | -c_Finite__Set_Ofinite(B,A) # label(cls_Min__le_0) # label(axiom). [assumption].
% 0.79/1.10 26 -class_Orderings_Olinorder(A) | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A)) | B = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(B,A) # label(cls_Min__in_0) # label(axiom). [assumption].
% 0.79/1.10 27 -class_Orderings_Olinorder(A) | hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A)) | B = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_Finite__Set_Ofinite(B,A) # label(cls_Max__in_0) # label(axiom). [assumption].
% 0.79/1.10 28 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A)) = c_SetInterval_Oord__class_OatLeastAtMost(B,C,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I5_J_0) # label(axiom). [assumption].
% 0.79/1.10 29 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))) = c_SetInterval_Oord__class_OatLeastAtMost(B,C,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I6_J_0) # label(axiom). [assumption].
% 0.79/1.10 30 -class_Orderings_Olinorder(A) | c_lessequals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A) | -c_Finite__Set_Ofinite(C,A) | B = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_lessequals(B,C,tc_fun(A,tc_bool)) # label(cls_Max__mono_0) # label(axiom). [assumption].
% 0.79/1.10 31 -class_Orderings_Olinorder(A) | c_lessequals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A) | -c_Finite__Set_Ofinite(B,A) | C = c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) | -c_lessequals(C,B,tc_fun(A,tc_bool)) # label(cls_Min__antimono_0) # label(axiom). [assumption].
% 0.79/1.10 32 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom). [assumption].
% 0.79/1.10 33 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A) = B # label(cls_Min__singleton_0) # label(axiom). [assumption].
% 0.79/1.10 34 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A) = B # label(cls_Max__singleton_0) # label(axiom). [assumption].
% 0.79/1.10 Derived: A = B | -c_lessequals(A,B,tc_nat) | c_HOL_Oord__class_Oless(A,B,tc_nat). [resolve(1,a,2,a)].
% 0.79/1.10 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(1,a,4,a)].
% 0.79/1.10 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(A,C,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(C,A,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(D,B,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,5,a)].
% 0.79/1.10 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(C,B,tc_nat) | -c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(A,D,tc_nat),tc_fun(tc_nat,tc_bool)). [resolve(1,a,6,a)].
% 0.79/1.10 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(A,B,tc_nat)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,tc_nat)) = c_SetInterval_Oord__class_OgreaterThanAtMost(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,7,a)].
% 0.79/1.10 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat)) = c_SetInterval_Oord__class_OatLeastLessThan(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,8,a)].
% 0.79/1.10 Derived: c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(A,C,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(C,B,tc_nat) | -c_lessequals(A,C,tc_nat). [resolve(1,a,9,a)].
% 0.79/1.10 Derived: A = B | c_HOL_Oord__class_Oless(A,B,tc_nat) | c_HOL_Oord__class_Oless(B,A,tc_nat). [resolve(1,a,10,a)].
% 0.79/1.10 Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1,a,15,a)].
% 0.79/1.10 Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_lessequals(B,A,tc_nat). [resolve(1,a,18,a)].
% 0.79/1.10 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat)),c_SetInterval_Oord__class_OatLeastAtMost(B,C,tc_nat)) = c_SetInterval_Oord__class_OatLeastAtMost(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,22,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat)),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,tc_nat)) = c_SetInterval_Oord__class_OatLeastAtMost(A,C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,23,a)].
% 0.79/1.13 Derived: c_lessequals(A,c_Finite__Set_Olinorder__class_OMax(B,tc_nat),tc_nat) | -hBOOL(c_in(A,B,tc_nat)) | -c_Finite__Set_Ofinite(B,tc_nat). [resolve(1,a,24,a)].
% 0.79/1.13 Derived: c_lessequals(c_Finite__Set_Olinorder__class_OMin(A,tc_nat),B,tc_nat) | -hBOOL(c_in(B,A,tc_nat)) | -c_Finite__Set_Ofinite(A,tc_nat). [resolve(1,a,25,a)].
% 0.79/1.13 Derived: hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(A,tc_nat),A,tc_nat)) | A = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_nat). [resolve(1,a,26,a)].
% 0.79/1.13 Derived: hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(A,tc_nat),A,tc_nat)) | A = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_Finite__Set_Ofinite(A,tc_nat). [resolve(1,a,27,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_Set_Oinsert(tc_nat),A),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(A,B,tc_nat)) = c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,28,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat)),hAPP(hAPP(c_Set_Oinsert(tc_nat),B),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)))) = c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat) | -c_lessequals(A,B,tc_nat). [resolve(1,a,29,a)].
% 0.79/1.13 Derived: c_lessequals(c_Finite__Set_Olinorder__class_OMax(A,tc_nat),c_Finite__Set_Olinorder__class_OMax(B,tc_nat),tc_nat) | -c_Finite__Set_Ofinite(B,tc_nat) | A = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_lessequals(A,B,tc_fun(tc_nat,tc_bool)). [resolve(1,a,30,a)].
% 0.79/1.13 Derived: c_lessequals(c_Finite__Set_Olinorder__class_OMin(A,tc_nat),c_Finite__Set_Olinorder__class_OMin(B,tc_nat),tc_nat) | -c_Finite__Set_Ofinite(A,tc_nat) | B = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) | -c_lessequals(B,A,tc_fun(tc_nat,tc_bool)). [resolve(1,a,31,a)].
% 0.79/1.13 Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat). [resolve(1,a,32,a)].
% 0.79/1.13 Derived: c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(tc_nat),A),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),tc_nat) = A. [resolve(1,a,33,a)].
% 0.79/1.13 Derived: c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(tc_nat),A),c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))),tc_nat) = A. [resolve(1,a,34,a)].
% 0.79/1.13 35 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.79/1.13 36 -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].
% 0.79/1.13 37 -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].
% 0.79/1.13 38 -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].
% 0.79/1.13 39 -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].
% 0.79/1.13 40 -class_Lattices_Oupper__semilattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A) # label(cls_fun__left__comm__idem__sup_0) # label(axiom). [assumption].
% 0.79/1.13 41 -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].
% 0.79/1.13 42 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom). [assumption].
% 0.79/1.13 43 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A) # label(cls_sup__ge1_0) # label(axiom). [assumption].
% 0.79/1.13 44 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A) # label(cls_sup__ge2_0) # label(axiom). [assumption].
% 0.79/1.13 45 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom). [assumption].
% 0.79/1.13 46 -class_Lattices_Oupper__semilattice(A) | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom). [assumption].
% 0.79/1.13 47 -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].
% 0.79/1.13 48 -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].
% 0.79/1.13 49 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom). [assumption].
% 0.79/1.13 50 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom). [assumption].
% 0.79/1.13 51 -class_Lattices_Oupper__semilattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom). [assumption].
% 0.79/1.13 52 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__sup__iff_1) # label(axiom). [assumption].
% 0.79/1.13 53 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__sup__iff_0) # label(axiom). [assumption].
% 0.79/1.13 54 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom). [assumption].
% 0.79/1.13 55 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom). [assumption].
% 0.79/1.13 56 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A) # label(cls_le__supE_1) # label(axiom). [assumption].
% 0.79/1.13 57 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A) # label(cls_le__supE_0) # label(axiom). [assumption].
% 0.79/1.13 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(35,a,36,a)].
% 0.79/1.13 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(35,a,37,a)].
% 0.79/1.13 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(35,a,38,a)].
% 0.79/1.13 Derived: -class_Lattices_Olattice(A) | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),C) = C. [resolve(35,a,39,a)].
% 0.79/1.13 Derived: -class_Lattices_Olattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)). [resolve(35,a,40,a)].
% 0.79/1.13 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(35,a,41,a)].
% 0.79/1.13 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(35,a,42,a)].
% 0.79/1.13 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(35,a,43,a)].
% 0.79/1.13 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(35,a,44,a)].
% 0.79/1.13 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(35,a,47,a)].
% 0.79/1.13 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(35,a,48,a)].
% 0.79/1.13 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(35,a,49,a)].
% 0.79/1.13 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(35,a,50,a)].
% 0.79/1.13 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(35,a,51,a)].
% 0.79/1.13 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(35,a,52,a)].
% 0.79/1.13 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(35,a,53,a)].
% 0.79/1.13 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(35,a,54,a)].
% 0.79/1.13 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(35,a,55,a)].
% 0.79/1.13 58 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.79/1.13 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(58,a,36,a)].
% 0.79/1.13 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(58,a,37,a)].
% 0.79/1.13 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(58,a,38,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),A) = A. [resolve(58,a,39,a)].
% 0.79/1.13 Derived: c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat,tc_nat). [resolve(58,a,40,a)].
% 0.79/1.13 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(58,a,41,a)].
% 0.79/1.13 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(58,a,42,a)].
% 0.79/1.13 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B),tc_nat). [resolve(58,a,43,a)].
% 0.79/1.13 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),B),A),tc_nat). [resolve(58,a,44,a)].
% 0.79/1.13 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(58,a,47,a)].
% 0.79/1.13 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(58,a,48,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = A | -c_lessequals(B,A,tc_nat). [resolve(58,a,49,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) != B | c_lessequals(A,B,tc_nat). [resolve(58,a,50,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),B) = B | -c_lessequals(A,B,tc_nat). [resolve(58,a,51,a)].
% 0.79/1.13 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(58,a,52,a)].
% 0.79/1.13 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(58,a,53,a)].
% 0.79/1.13 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(58,a,54,a)].
% 0.79/1.13 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(58,a,55,a)].
% 0.79/1.13 59 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom). [assumption].
% 0.79/1.13 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(59,a,36,a)].
% 0.79/1.13 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(59,a,37,a)].
% 0.79/1.13 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(59,a,38,a)].
% 0.79/1.13 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),A) = A. [resolve(59,a,39,a)].
% 0.79/1.13 Derived: c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),tc_bool,tc_bool). [resolve(59,a,40,a)].
% 0.79/1.13 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(59,a,41,a)].
% 0.79/1.13 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(59,a,42,a)].
% 0.79/1.13 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B),tc_bool). [resolve(59,a,43,a)].
% 0.95/1.21 Derived: c_lessequals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),B),A),tc_bool). [resolve(59,a,44,a)].
% 0.95/1.21 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(59,a,47,a)].
% 0.95/1.21 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(59,a,48,a)].
% 0.95/1.21 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = A | -c_lessequals(B,A,tc_bool). [resolve(59,a,49,a)].
% 0.95/1.21 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) != B | c_lessequals(A,B,tc_bool). [resolve(59,a,50,a)].
% 0.95/1.21 Derived: hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),B) = B | -c_lessequals(A,B,tc_bool). [resolve(59,a,51,a)].
% 0.95/1.21 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(59,a,52,a)].
% 0.95/1.21 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(59,a,53,a)].
% 0.95/1.21 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(59,a,54,a)].
% 0.95/1.21 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(59,a,55,a)].
% 0.95/1.21 60 c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(A),A,tc_fun(A,tc_bool)) # label(cls_fun__left__comm__idem__insert_0) # label(axiom). [assumption].
% 0.95/1.21 61 hAPP(hAPP(A,B),hAPP(hAPP(A,B),C)) = hAPP(hAPP(A,B),C) | -c_Finite__Set_Ofun__left__comm__idem(A,D,E) # label(cls_fun__left__comm__idem_Ofun__left__idem_0) # label(axiom). [assumption].
% 0.95/1.21 62 c_Fun_Ocomp(hAPP(A,B),hAPP(A,B),C,C,C) = hAPP(A,B) | -c_Finite__Set_Ofun__left__comm__idem(A,D,C) # label(cls_fun__left__comm__idem_Ofun__comp__idem_0) # label(axiom). [assumption].
% 0.95/1.21 Derived: c_Fun_Ocomp(hAPP(c_Set_Oinsert(A),B),hAPP(c_Set_Oinsert(A),B),tc_fun(A,tc_bool),tc_fun(A,tc_bool),tc_fun(A,tc_bool)) = hAPP(c_Set_Oinsert(A),B). [resolve(60,a,62,b)].
% 0.95/1.21 63 -class_Lattices_Olattice(A) | c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),tc_fun(B,A),tc_fun(B,A)). [resolve(35,a,40,a)].
% 0.95/1.21 Derived: -class_Lattices_Olattice(A) | c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C),tc_fun(B,A),tc_fun(B,A),tc_fun(B,A)) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,A)),C). [resolve(63,b,62,b)].
% 0.95/1.21 64 c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),tc_nat,tc_nat). [resolve(58,a,40,a)].
% 0.95/1.21 Derived: c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A),tc_nat,tc_nat,tc_nat) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_nat),A). [resolve(64,a,62,b)].
% 0.95/1.21 65 c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),tc_bool,tc_bool). [resolve(59,a,40,a)].
% 0.95/1.21 Derived: c_Fun_Ocomp(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A),tc_bool,tc_bool,tc_bool) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_bool),A). [resolve(65,a,62,b)].
% 0.95/1.21
% 0.95/1.21 ============================== end predicate elimination =============
% 0.95/1.21
% 0.95/1.21 Auto_denials: (non-Horn, no changes).
% 0.95/1.21
% 0.95/1.21 Term ordering decisions:
% 0.95/1.21 Function symbol KB weights: tc_bool=1. tc_nat=1. t_a=1. v_x=1. tc_Com_Ostate=1. v_P=1. t_b=1. v_Q=1. v_R=1. c_Com_Ocom_OSKIP=1. v_c=1. c_Not=1. t_c=1. v_xa=1. v_xb=1. hAPP=1. tc_fun=1. c_Com_Ocom_OWhile=1. c_Com_Ocom_OSemi=1. c_Collect=1. c_Complete__Lattice_OSup__class_OSup=1. c_Finite__Set_Olinorder__class_OMax=1. c_Finite__Set_Olinorder__class_OMin=1. c_The=1. c_Complete__Lattice_OInf__class_OInf=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_Set_Ocontents=1. c_Set_Oinsert=1. c_Orderings_Obot__class_Obot=1. c_Lattices_Oupper__semilattice__class_Osup=1. tc_Hoare__Mirabelle_Otriple=1. c_Natural_Oevalc=1. tc_Option_Ooption=1. c_fequal=1. c_Fun_Oid=1. c_Option_Ooption_ONone=1. c_COMBI=1. c_Hoare__Mirabelle_OMGT=1. c_in=1. c_HOL_Ominus__class_Ominus=1. c_SetInterval_Oord__class_OatLeastAtMost=1. c_Com_Ocom_OCond=1. c_SetInterval_Oord__class_OatLeastLessThan=1. c_COMBK=1. c_SetInterval_Oord__class_OgreaterThanAtMost=1. c_Hoare__Mirabelle_Opeek__and=1. c_Finite__Set_Ofold1Set=1. c_Finite__Set_Ofold1=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_Set_Oimage=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_Map_Orestrict__map=1. c_COMBC=1. c_Hoare__Mirabelle_Otriple_Otriple__case=1. c_Finite__Set_Osetsum=1. c_HOL_OIf=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_Ofun__upd=1. c_Fun_Ocomp=1. c_Fun_Ofcomp=1. c_COMBB=1. c_COMBS=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 2.56/2.83
% 2.56/2.83 ============================== end of process initial clauses ========
% 2.56/2.83
% 2.56/2.83 ============================== CLAUSES FOR SEARCH ====================
% 2.56/2.83
% 2.56/2.83 ============================== end of clauses for search =============
% 2.56/2.83
% 2.56/2.83 ============================== SEARCH ================================
% 2.56/2.83
% 2.56/2.83 % Starting search at 0.17 seconds.
% 2.56/2.83
% 2.56/2.83 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.55 sec).
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=88.000, iters=3695
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=60.000, iters=3433
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=58.000, iters=3372
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=57.000, iters=3346
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=56.000, iters=3405
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=54.000, iters=3350
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=52.000, iters=3337
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=51.000, iters=3345
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=50.000, iters=3345
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=49.000, iters=3357
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=47.000, iters=3339
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=46.000, iters=3341
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=45.000, iters=3333
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=43.000, iters=3344
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=42.000, iters=3403
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=41.000, iters=3429
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=40.000, iters=3373
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=39.000, iters=3400
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=38.000, iters=3402
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=37.000, iters=3396
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=36.000, iters=3353
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=35.000, iters=3463
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=34.000, iters=3360
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=33.000, iters=3349
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=32.000, iters=3354
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=31.000, iters=3333
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=30.000, iters=3340
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=29.000, iters=3345
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=27.000, iters=3415
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=26.000, iters=3601
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=24.000, iters=3529
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=23.000, iters=3342
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=21.000, iters=3479
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=20.000, iters=3422
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=18.000, iters=3336
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=17.000, iters=3366
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=14.000, iters=3345
% 2.56/2.83
% 2.56/2.83 Low Water (keep): wt=13.000, iters=3337
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=3120, wt=111.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=3954, wt=104.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4028, wt=103.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4227, wt=102.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4235, wt=97.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4233, wt=95.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=3707, wt=94.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4239, wt=93.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4123, wt=90.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=3880, wt=89.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=3891, wt=88.000
% 2.56/2.83
% 2.56/2.83 Low Water (displace): id=4018, wt=87.000
% 2.56/2.83
% 2.56/2.83 Low Water Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------