TSTP Solution File: SWV887-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV887-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 21:15:09 EDT 2022

% Result   : Timeout 300.03s 300.29s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV887-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n017.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 08:27:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.92/1.28  ============================== Prover9 ===============================
% 0.92/1.28  Prover9 (32) version 2009-11A, November 2009.
% 0.92/1.28  Process 7248 was started by sandbox on n017.cluster.edu,
% 0.92/1.28  Wed Jun 15 08:27:10 2022
% 0.92/1.28  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7095_n017.cluster.edu".
% 0.92/1.28  ============================== end of head ===========================
% 0.92/1.28  
% 0.92/1.28  ============================== INPUT =================================
% 0.92/1.28  
% 0.92/1.28  % Reading from file /tmp/Prover9_7095_n017.cluster.edu
% 0.92/1.28  
% 0.92/1.28  set(prolog_style_variables).
% 0.92/1.28  set(auto2).
% 0.92/1.28      % set(auto2) -> set(auto).
% 0.92/1.28      % set(auto) -> set(auto_inference).
% 0.92/1.28      % set(auto) -> set(auto_setup).
% 0.92/1.28      % set(auto_setup) -> set(predicate_elim).
% 0.92/1.28      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.92/1.28      % set(auto) -> set(auto_limits).
% 0.92/1.28      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.92/1.28      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.92/1.28      % set(auto) -> set(auto_denials).
% 0.92/1.28      % set(auto) -> set(auto_process).
% 0.92/1.28      % set(auto2) -> assign(new_constants, 1).
% 0.92/1.28      % set(auto2) -> assign(fold_denial_max, 3).
% 0.92/1.28      % set(auto2) -> assign(max_weight, "200.000").
% 0.92/1.28      % set(auto2) -> assign(max_hours, 1).
% 0.92/1.28      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.92/1.28      % set(auto2) -> assign(max_seconds, 0).
% 0.92/1.28      % set(auto2) -> assign(max_minutes, 5).
% 0.92/1.28      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.92/1.28      % set(auto2) -> set(sort_initial_sos).
% 0.92/1.28      % set(auto2) -> assign(sos_limit, -1).
% 0.92/1.28      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.92/1.28      % set(auto2) -> assign(max_megs, 400).
% 0.92/1.28      % set(auto2) -> assign(stats, some).
% 0.92/1.28      % set(auto2) -> clear(echo_input).
% 0.92/1.28      % set(auto2) -> set(quiet).
% 0.92/1.28      % set(auto2) -> clear(print_initial_clauses).
% 0.92/1.28      % set(auto2) -> clear(print_given).
% 0.92/1.28  assign(lrs_ticks,-1).
% 0.92/1.28  assign(sos_limit,10000).
% 0.92/1.28  assign(order,kbo).
% 0.92/1.28  set(lex_order_vars).
% 0.92/1.28  clear(print_given).
% 0.92/1.28  
% 0.92/1.28  % formulas(sos).  % not echoed (587 formulas)
% 0.92/1.28  
% 0.92/1.28  ============================== end of input ==========================
% 0.92/1.28  
% 0.92/1.28  % From the command line: assign(max_seconds, 300).
% 0.92/1.28  
% 0.92/1.28  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.92/1.28  
% 0.92/1.28  % Formulas that are not ordinary clauses:
% 0.92/1.28  
% 0.92/1.28  ============================== end of process non-clausal formulas ===
% 0.92/1.28  
% 0.92/1.28  ============================== PROCESS INITIAL CLAUSES ===============
% 0.92/1.28  
% 0.92/1.28  ============================== PREDICATE ELIMINATION =================
% 0.92/1.28  1 class_Orderings_Olinorder(tc_nat) # label(clsarity_nat__Orderings_Olinorder) # label(axiom).  [assumption].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  7 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool)) = 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].
% 0.92/1.28  8 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastLessThan(C,D,A),tc_fun(A,tc_bool)) = 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].
% 0.92/1.28  9 -class_Orderings_Olinorder(A) | hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(A,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(B,C,A)),c_SetInterval_Oord__class_OatLeastLessThan(B,D,A)) = c_SetInterval_Oord__class_OatLeastLessThan(D,C,A) | -c_lessequals(B,D,A) # label(cls_ivl__diff_0) # label(axiom).  [assumption].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  14 -class_Orderings_Olinorder(A) | -c_HOL_Oord__class_Oless(B,B,A) # label(cls_linorder__neq__iff_1) # label(axiom).  [assumption].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  22 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),tc_fun(A,tc_bool)) = 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].
% 0.92/1.28  23 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OgreaterThanAtMost(C,D,A),tc_fun(A,tc_bool)) = 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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  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].
% 0.92/1.28  28 -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].
% 0.92/1.28  29 -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].
% 0.92/1.28  30 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,A),tc_fun(A,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(B,C,A) | -c_lessequals(B,C,A) # label(cls_ivl__disj__un_I5_J_0) # label(axiom).  [assumption].
% 0.92/1.28  31 -class_Orderings_Olinorder(A) | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(B,C,A),c_Set_Oinsert(C,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),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].
% 0.92/1.28  32 -class_Orderings_Olinorder(A) | c_lessequals(B,C,A) | c_lessequals(C,B,A) # label(cls_linorder__linear_0) # label(axiom).  [assumption].
% 0.92/1.28  33 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A) = B # label(cls_Min__singleton_0) # label(axiom).  [assumption].
% 0.92/1.28  34 -class_Orderings_Olinorder(A) | c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A),A) = B # label(cls_Max__singleton_0) # label(axiom).  [assumption].
% 0.92/1.28  Derived: A = B | -c_lessequals(A,B,tc_nat) | c_HOL_Oord__class_Oless(A,B,tc_nat).  [resolve(1,a,2,a)].
% 0.92/1.28  Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_HOL_Oord__class_Oless(B,A,tc_nat).  [resolve(1,a,4,a)].
% 0.92/1.28  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)].
% 0.92/1.28  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)].
% 0.92/1.28  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OgreaterThanAtMost(A,B,tc_nat),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = 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)].
% 0.92/1.28  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeastLessThan(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = 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)].
% 0.92/1.28  Derived: hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_fun(tc_nat,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat)),c_SetInterval_Oord__class_OatLeastLessThan(A,C,tc_nat)) = c_SetInterval_Oord__class_OatLeastLessThan(C,B,tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(1,a,9,a)].
% 0.92/1.28  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)].
% 0.92/1.28  Derived: c_HOL_Oord__class_Oless(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1,a,15,a)].
% 0.92/1.28  Derived: -c_HOL_Oord__class_Oless(A,B,tc_nat) | -c_lessequals(B,A,tc_nat).  [resolve(1,a,18,a)].
% 0.92/1.28  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_SetInterval_Oord__class_OatLeastAtMost(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = 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)].
% 0.92/1.28  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat),c_SetInterval_Oord__class_OgreaterThanAtMost(B,C,tc_nat),tc_fun(tc_nat,tc_bool)) = 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)].
% 0.92/1.35  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)].
% 0.92/1.35  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)].
% 0.92/1.35  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)].
% 0.92/1.35  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)].
% 0.92/1.35  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,28,a)].
% 0.92/1.35  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,29,a)].
% 0.92/1.35  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_SetInterval_Oord__class_OgreaterThanAtMost(A,B,tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(1,a,30,a)].
% 0.92/1.35  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(A,B,tc_nat),c_Set_Oinsert(B,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(A,B,tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(1,a,31,a)].
% 0.92/1.35  Derived: c_lessequals(A,B,tc_nat) | c_lessequals(B,A,tc_nat).  [resolve(1,a,32,a)].
% 0.92/1.35  Derived: c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = A.  [resolve(1,a,33,a)].
% 0.92/1.35  Derived: c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(A,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) = A.  [resolve(1,a,34,a)].
% 0.92/1.35  35 class_OrderedGroup_Ocomm__monoid__add(tc_nat) # label(clsarity_nat__OrderedGroup_Ocomm__monoid__add) # label(axiom).  [assumption].
% 0.92/1.35  36 -class_OrderedGroup_Ocomm__monoid__add(A) | c_Finite__Set_Osetsum(B,c_Set_Oimage(C,D,E,F),F,A) = c_Finite__Set_Osetsum(c_Fun_Ocomp(B,C,F,A,E),D,E,A) | -c_Fun_Oinj__on(C,D,E,F) # label(cls_setsum__reindex_0) # label(axiom).  [assumption].
% 0.92/1.35  Derived: c_Finite__Set_Osetsum(A,c_Set_Oimage(B,C,D,E),E,tc_nat) = c_Finite__Set_Osetsum(c_Fun_Ocomp(A,B,E,tc_nat,D),C,D,tc_nat) | -c_Fun_Oinj__on(B,C,D,E).  [resolve(35,a,36,a)].
% 0.92/1.35  37 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.35  38 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_HOL_Oord__class_Oless(B,C,A) # label(cls_less__supI1_0) # label(axiom).  [assumption].
% 0.92/1.35  39 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__supI2_0) # label(axiom).  [assumption].
% 0.92/1.35  40 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__sup__iff_2) # label(axiom).  [assumption].
% 0.92/1.35  41 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_sup__least_0) # label(axiom).  [assumption].
% 0.92/1.35  42 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,A),A) # label(cls_sup__ge2_0) # label(axiom).  [assumption].
% 0.92/1.35  43 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) # label(cls_sup__ge1_0) # label(axiom).  [assumption].
% 0.92/1.35  44 -class_Lattices_Oupper__semilattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) | -c_lessequals(C,D,A) | -c_lessequals(B,D,A) # label(cls_le__supI_0) # label(axiom).  [assumption].
% 0.92/1.35  45 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom).  [assumption].
% 0.92/1.35  46 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom).  [assumption].
% 0.92/1.35  47 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.92/1.35  48 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom).  [assumption].
% 0.92/1.35  49 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom).  [assumption].
% 0.92/1.35  50 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = B | -c_lessequals(C,B,A) # label(cls_sup__absorb1_0) # label(axiom).  [assumption].
% 0.92/1.35  51 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) != C | c_lessequals(B,C,A) # label(cls_le__iff__sup_1) # label(axiom).  [assumption].
% 0.92/1.35  52 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = C | -c_lessequals(B,C,A) # label(cls_le__iff__sup_0) # label(axiom).  [assumption].
% 0.92/1.35  53 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__sup__iff_1) # label(axiom).  [assumption].
% 0.92/1.35  54 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__sup__iff_0) # label(axiom).  [assumption].
% 0.92/1.35  55 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,D,A) # label(cls_le__supI2_0) # label(axiom).  [assumption].
% 0.92/1.35  56 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_lessequals(B,C,A) # label(cls_le__supI1_0) # label(axiom).  [assumption].
% 0.92/1.35  57 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(D,B,A),C,A) # label(cls_le__supE_1) # label(axiom).  [assumption].
% 0.92/1.35  58 -class_Lattices_Oupper__semilattice(A) | c_lessequals(B,C,A) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A) # label(cls_le__supE_0) # label(axiom).  [assumption].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_HOL_Oord__class_Oless(B,C,tc_fun(E,A)).  [resolve(37,a,38,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_HOL_Oord__class_Oless(B,D,tc_fun(E,A)).  [resolve(37,a,39,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_lessequals(C,E,tc_fun(D,A)) | -c_lessequals(B,E,tc_fun(D,A)).  [resolve(37,a,40,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)),tc_fun(D,A)).  [resolve(37,a,42,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)).  [resolve(37,a,43,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)).  [resolve(37,a,45,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(37,a,46,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(37,a,47,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)).  [resolve(37,a,48,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)).  [resolve(37,a,49,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = B | -c_lessequals(C,B,tc_fun(D,A)).  [resolve(37,a,50,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) != C | c_lessequals(B,C,tc_fun(D,A)).  [resolve(37,a,51,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = C | -c_lessequals(B,C,tc_fun(D,A)).  [resolve(37,a,52,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(E,B,tc_fun(D,A)),C,tc_fun(D,A)).  [resolve(37,a,53,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,C,tc_fun(D,A)) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(B,E,tc_fun(D,A)),C,tc_fun(D,A)).  [resolve(37,a,54,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,D,tc_fun(E,A)).  [resolve(37,a,55,a)].
% 0.92/1.35  Derived: -class_Lattices_Olattice(A) | c_lessequals(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_lessequals(B,C,tc_fun(E,A)).  [resolve(37,a,56,a)].
% 0.92/1.35  59 class_Lattices_Oupper__semilattice(tc_nat) # label(clsarity_nat__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.35  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(A,B,tc_nat).  [resolve(59,a,38,a)].
% 0.92/1.35  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_HOL_Oord__class_Oless(A,C,tc_nat).  [resolve(59,a,39,a)].
% 0.92/1.35  Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) | -c_lessequals(B,C,tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(59,a,40,a)].
% 0.92/1.35  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat),tc_nat).  [resolve(59,a,42,a)].
% 0.92/1.35  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat).  [resolve(59,a,43,a)].
% 0.92/1.35  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),tc_nat).  [resolve(59,a,45,a)].
% 0.92/1.35  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),C,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat).  [resolve(59,a,46,a)].
% 0.92/1.35  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_nat) = A.  [resolve(59,a,47,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_nat).  [resolve(59,a,48,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat),tc_nat) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat).  [resolve(59,a,49,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = A | -c_lessequals(B,A,tc_nat).  [resolve(59,a,50,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) != B | c_lessequals(A,B,tc_nat).  [resolve(59,a,51,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_nat) = B | -c_lessequals(A,B,tc_nat).  [resolve(59,a,52,a)].
% 0.92/1.37  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_nat),B,tc_nat).  [resolve(59,a,53,a)].
% 0.92/1.37  Derived: c_lessequals(A,B,tc_nat) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_nat),B,tc_nat).  [resolve(59,a,54,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,C,tc_nat).  [resolve(59,a,55,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_nat),tc_nat) | -c_lessequals(A,B,tc_nat).  [resolve(59,a,56,a)].
% 0.92/1.37  60 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.37  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_HOL_Oord__class_Oless(A,B,tc_bool).  [resolve(60,a,38,a)].
% 0.92/1.37  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool).  [resolve(60,a,39,a)].
% 0.92/1.37  Derived: c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) | -c_lessequals(B,C,tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(60,a,40,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool),tc_bool).  [resolve(60,a,42,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool).  [resolve(60,a,43,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool).  [resolve(60,a,45,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool).  [resolve(60,a,46,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(60,a,47,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(60,a,48,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool).  [resolve(60,a,49,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = A | -c_lessequals(B,A,tc_bool).  [resolve(60,a,50,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) != B | c_lessequals(A,B,tc_bool).  [resolve(60,a,51,a)].
% 0.92/1.37  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = B | -c_lessequals(A,B,tc_bool).  [resolve(60,a,52,a)].
% 0.92/1.37  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(C,A,tc_bool),B,tc_bool).  [resolve(60,a,53,a)].
% 0.92/1.37  Derived: c_lessequals(A,B,tc_bool) | -c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),B,tc_bool).  [resolve(60,a,54,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,C,tc_bool).  [resolve(60,a,55,a)].
% 0.92/1.37  Derived: c_lessequals(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_lessequals(A,B,tc_bool).  [resolve(60,a,56,a)].
% 0.92/1.37  
% 0.92/1.37  ============================== end predicate elimination =============
% 2.57/2.88  
% 2.57/2.88  Auto_denials:  (non-Horn, no changes).
% 2.57/2.88  
% 2.57/2.88  Term ordering decisions:
% 2.57/2.88  Function symbol KB weights:  tc_bool=1. tc_nat=1. t_a=1. tc_Com_Ostate=1. t_b=1. tc_Com_Ocom=1. tc_Com_Opname=1. c_Com_Ocom_OBODY=1. c_Com_Obody=1. v_x=1. c_Com_Ocom_OSKIP=1. v_pn=1. c_Not=1. v_c=1. v_G=1. tc_fun=1. hAPP=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_Option_Ooption_OSome=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_Orderings_Obot__class_Obot=1. tc_Hoare__Mirabelle_Otriple=1. c_Hoare__Mirabelle_Otriple_Otriple=1. c_HOL_Ominus__class_Ominus=1. c_Natural_Oevalc=1. c_Option_Othe=1. c_fequal=1. c_Suc=1. c_Hoare__Mirabelle_OMGT=1. tc_Option_Ooption=1. c_Option_Ooption_ONone=1. v_sko__Hoare__Mirabelle__XMGF__lemma1__1=1. c_Set_Oinsert=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_in=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_Map_Odom=1. c_Hoare__Mirabelle_Opeek__and=1. c_Finite__Set_Ofold1Set=1. c_Finite__Set_Ofold1=1. c_Set_Oimage=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_COMBC=1. c_Finite__Set_Osetsum=1. c_Natural_Osko__Natural__Xevaln__elim__cases__6__1=1. v_sko__Hoare__Mirabelle__Xconseq12__1=1. v_sko__Hoare__Mirabelle__Xconseq12__2=1. v_sko__Hoare__Mirabelle__Xconseq12__3=1. v_sko__Hoare__Mirabelle__Xescape__1=1. v_sko__Hoare__Mirabelle__Xescape__2=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1=1. 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_COMBS=1. c_Fun_Ocomp=1. c_Fun_Ofun__upd=1. c_COMBB=1. v_sko__Hoare__Mirabelle__Xfinite__pointwise__1=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3=1. v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3=1.
% 2.57/2.88  
% 2.57/2.88  ============================== end of process initial clauses ========
% 2.57/2.88  
% 2.57/2.88  ============================== CLAUSES FOR SEARCH ====================
% 2.57/2.88  
% 2.57/2.88  ============================== end of clauses for search =============
% 2.57/2.88  
% 2.57/2.88  ============================== SEARCH ================================
% 2.57/2.88  
% 2.57/2.88  % Starting search at 0.26 seconds.
% 2.57/2.88  
% 2.57/2.88  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 48 (0.00 of 0.51 sec).
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=59.000, iters=3355
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=52.000, iters=3337
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=51.000, iters=3390
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=50.000, iters=3386
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=49.000, iters=3350
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=47.000, iters=3341
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=46.000, iters=3497
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=45.000, iters=3366
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=44.000, iters=3361
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=43.000, iters=3413
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=42.000, iters=3358
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=41.000, iters=3357
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=40.000, iters=3346
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=39.000, iters=3354
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=37.000, iters=3379
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=36.000, iters=3345
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=35.000, iters=3387
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=34.000, iters=3344
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=33.000, iters=3429
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=31.000, iters=3409
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=30.000, iters=3360
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=29.000, iters=3398
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=28.000, iters=3357
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=27.000, iters=3336
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=26.000, iters=3349
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=25.000, iters=3533
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=24.000, iters=3360
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=22.000, iters=3407
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=20.000, iters=3377
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=18.000, iters=3521
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=16.000, iters=3394
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=14.000, iters=3343
% 2.57/2.88  
% 2.57/2.88  Low Water (keep): wt=13.000, iters=3340
% 2.57/2.88  
% 2.57/2.88  Low Water (displace): id=6126, wt=79.000
% 2.57/2.88  
% 2.57/2.88  Low Water (displace): id=6125, wt=70.000
% 2.57/2.88  
% 2.57/2.88  Low Water (displace): id=Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------