TSTP Solution File: SEV439+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SEV439+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 : Tue Jul 19 17:59:53 EDT 2022

% Result   : Unknown 223.33s 223.65s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEV439+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n019.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 : Tue Jun 28 08:53:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.75/1.01  ============================== Prover9 ===============================
% 0.75/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.01  Process 7945 was started by sandbox on n019.cluster.edu,
% 0.75/1.01  Tue Jun 28 08:53:09 2022
% 0.75/1.01  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_7788_n019.cluster.edu".
% 0.75/1.01  ============================== end of head ===========================
% 0.75/1.01  
% 0.75/1.01  ============================== INPUT =================================
% 0.75/1.01  
% 0.75/1.01  % Reading from file /tmp/Prover9_7788_n019.cluster.edu
% 0.75/1.01  
% 0.75/1.01  set(prolog_style_variables).
% 0.75/1.01  set(auto2).
% 0.75/1.01      % set(auto2) -> set(auto).
% 0.75/1.01      % set(auto) -> set(auto_inference).
% 0.75/1.01      % set(auto) -> set(auto_setup).
% 0.75/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.01      % set(auto) -> set(auto_limits).
% 0.75/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.01      % set(auto) -> set(auto_denials).
% 0.75/1.01      % set(auto) -> set(auto_process).
% 0.75/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.01      % set(auto2) -> assign(stats, some).
% 0.75/1.01      % set(auto2) -> clear(echo_input).
% 0.75/1.01      % set(auto2) -> set(quiet).
% 0.75/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.01      % set(auto2) -> clear(print_given).
% 0.75/1.01  assign(lrs_ticks,-1).
% 0.75/1.01  assign(sos_limit,10000).
% 0.75/1.01  assign(order,kbo).
% 0.75/1.01  set(lex_order_vars).
% 0.75/1.01  clear(print_given).
% 0.75/1.01  
% 0.75/1.01  % formulas(sos).  % not echoed (19 formulas)
% 0.75/1.01  
% 0.75/1.01  ============================== end of input ==========================
% 0.75/1.01  
% 0.75/1.01  % From the command line: assign(max_seconds, 300).
% 0.75/1.01  
% 0.75/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.01  
% 0.75/1.01  % Formulas that are not ordinary clauses:
% 0.75/1.01  1 (all A all B (subset(A,B) <-> (all X (member(X,A) -> member(X,B))))) # label(subset) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  2 (all A all B (equal_set(A,B) <-> subset(A,B) & subset(B,A))) # label(equal_set) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  3 (all X all A (member(X,power_set(A)) <-> subset(X,A))) # label(power_set) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  4 (all X all A all B (member(X,intersection(A,B)) <-> member(X,A) & member(X,B))) # label(intersection) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  5 (all X all A all B (member(X,union(A,B)) <-> member(X,A) | member(X,B))) # label(union) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  6 (all X -member(X,empty_set)) # label(empty_set) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  7 (all B all A all E (member(B,difference(E,A)) <-> member(B,E) & -member(B,A))) # label(difference) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  8 (all X all A (member(X,singleton(A)) <-> X = A)) # label(singleton) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  9 (all X all A all B (member(X,unordered_pair(A,B)) <-> X = A | X = B)) # label(unordered_pair) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  10 (all X all A (member(X,sum(A)) <-> (exists Y (member(Y,A) & member(X,Y))))) # label(sum) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  11 (all X all A (member(X,product(A)) <-> (all Y (member(Y,A) -> member(X,Y))))) # label(product) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  12 (all A (member(A,on) <-> set(A) & strict_well_order(member_predicate,A) & (all X (member(X,A) -> subset(X,A))))) # label(ordinal_number) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  13 (all R all E (strict_well_order(R,E) <-> strict_order(R,E) & (all A (subset(A,E) & (exists X member(X,A)) -> (exists Y least(Y,R,A)))))) # label(strict_well_order) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  14 (all R all E all M (least(M,R,E) <-> member(M,E) & (all X (member(X,E) -> M = X | apply(R,M,X))))) # label(least) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  15 (all X all Y (apply(member_predicate,X,Y) <-> member(X,Y))) # label(rel_member) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  16 (all R all E (strict_order(R,E) <-> (all X all Y (member(X,E) & member(Y,E) -> -(apply(R,X,Y) & apply(R,Y,X)))) & (all X all Y all Z (member(X,E) & member(Y,E) & member(Z,E) -> (apply(R,X,Y) & apply(R,Y,Z) -> apply(R,X,Z)))))) # label(strict_order) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  17 (all X (set(X) -> (all Y (member(Y,X) -> set(Y))))) # label(set_member) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  18 (all X all R all A all Y (member(Y,initial_segment(X,R,A)) <-> member(Y,A) & apply(R,Y,X))) # label(initial_segment) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  19 (all A all X (member(X,suc(A)) <-> member(X,union(A,singleton(A))))) # label(successor) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.01  
% 0.75/1.01  ============================== end of process non-clausal formulas ===
% 0.75/1.01  
% 0.75/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.01  
% 0.75/1.01  ============================== PREDICATE ELIMINATION =================
% 0.75/1.01  20 -strict_order(A,B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  21 strict_order(A,B) | member(f9(A,B),B) | member(f11(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  22 strict_order(A,B) | member(f9(A,B),B) | member(f12(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  23 strict_order(A,B) | member(f9(A,B),B) | member(f13(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  24 strict_order(A,B) | member(f10(A,B),B) | member(f11(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  25 strict_order(A,B) | member(f10(A,B),B) | member(f12(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  26 strict_order(A,B) | member(f10(A,B),B) | member(f13(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  27 strict_order(A,B) | member(f9(A,B),B) | apply(A,f11(A,B),f12(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  28 strict_order(A,B) | member(f9(A,B),B) | apply(A,f12(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  29 strict_order(A,B) | member(f10(A,B),B) | apply(A,f11(A,B),f12(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  30 strict_order(A,B) | member(f10(A,B),B) | apply(A,f12(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  31 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | member(f11(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  32 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | member(f12(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  33 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | member(f13(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  34 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | member(f11(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  35 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | member(f12(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  36 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | member(f13(A,B),B) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  37 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | apply(A,f11(A,B),f12(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  38 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | apply(A,f12(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  39 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | apply(A,f11(A,B),f12(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  40 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | apply(A,f12(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f9(D,B),B) | member(f11(D,B),B).  [resolve(20,a,21,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f9(D,B),B) | member(f12(D,B),B).  [resolve(20,a,22,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f9(D,B),B) | member(f13(D,B),B).  [resolve(20,a,23,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f10(D,B),B) | member(f11(D,B),B).  [resolve(20,a,24,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f10(D,B),B) | member(f12(D,B),B).  [resolve(20,a,25,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f10(D,B),B) | member(f13(D,B),B).  [resolve(20,a,26,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f9(D,B),B) | apply(D,f11(D,B),f12(D,B)).  [resolve(20,a,27,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f9(D,B),B) | apply(D,f12(D,B),f13(D,B)).  [resolve(20,a,28,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f10(D,B),B) | apply(D,f11(D,B),f12(D,B)).  [resolve(20,a,29,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | member(f10(D,B),B) | apply(D,f12(D,B),f13(D,B)).  [resolve(20,a,30,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f9(D,B),f10(D,B)) | member(f11(D,B),B).  [resolve(20,a,31,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f9(D,B),f10(D,B)) | member(f12(D,B),B).  [resolve(20,a,32,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f9(D,B),f10(D,B)) | member(f13(D,B),B).  [resolve(20,a,33,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f10(D,B),f9(D,B)) | member(f11(D,B),B).  [resolve(20,a,34,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f10(D,B),f9(D,B)) | member(f12(D,B),B).  [resolve(20,a,35,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f10(D,B),f9(D,B)) | member(f13(D,B),B).  [resolve(20,a,36,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f9(D,B),f10(D,B)) | apply(D,f11(D,B),f12(D,B)).  [resolve(20,a,37,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f9(D,B),f10(D,B)) | apply(D,f12(D,B),f13(D,B)).  [resolve(20,a,38,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f10(D,B),f9(D,B)) | apply(D,f11(D,B),f12(D,B)).  [resolve(20,a,39,a)].
% 0.75/1.01  Derived: -member(A,B) | -member(C,B) | -apply(D,A,C) | -apply(D,C,A) | apply(D,f10(D,B),f9(D,B)) | apply(D,f12(D,B),f13(D,B)).  [resolve(20,a,40,a)].
% 0.75/1.01  41 -strict_well_order(A,B) | strict_order(A,B) # label(strict_well_order) # label(axiom).  [clausify(13)].
% 0.75/1.01  Derived: -strict_well_order(A,B) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C).  [resolve(41,b,20,a)].
% 0.75/1.01  42 strict_well_order(A,B) | -strict_order(A,B) | subset(f6(A,B),B) # label(strict_well_order) # label(axiom).  [clausify(13)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f9(A,B),B) | member(f11(A,B),B).  [resolve(42,b,21,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f9(A,B),B) | member(f12(A,B),B).  [resolve(42,b,22,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f9(A,B),B) | member(f13(A,B),B).  [resolve(42,b,23,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f10(A,B),B) | member(f11(A,B),B).  [resolve(42,b,24,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f10(A,B),B) | member(f12(A,B),B).  [resolve(42,b,25,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f10(A,B),B) | member(f13(A,B),B).  [resolve(42,b,26,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f9(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(42,b,27,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f9(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(42,b,28,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f10(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(42,b,29,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | member(f10(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(42,b,30,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f9(A,B),f10(A,B)) | member(f11(A,B),B).  [resolve(42,b,31,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f9(A,B),f10(A,B)) | member(f12(A,B),B).  [resolve(42,b,32,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f9(A,B),f10(A,B)) | member(f13(A,B),B).  [resolve(42,b,33,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f10(A,B),f9(A,B)) | member(f11(A,B),B).  [resolve(42,b,34,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f10(A,B),f9(A,B)) | member(f12(A,B),B).  [resolve(42,b,35,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f10(A,B),f9(A,B)) | member(f13(A,B),B).  [resolve(42,b,36,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f9(A,B),f10(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(42,b,37,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f9(A,B),f10(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(42,b,38,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f10(A,B),f9(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(42,b,39,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | subset(f6(A,B),B) | apply(A,f10(A,B),f9(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(42,b,40,a)].
% 0.75/1.01  43 strict_well_order(A,B) | -strict_order(A,B) | -least(C,A,f6(A,B)) # label(strict_well_order) # label(axiom).  [clausify(13)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f9(A,B),B) | member(f11(A,B),B).  [resolve(43,b,21,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f9(A,B),B) | member(f12(A,B),B).  [resolve(43,b,22,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f9(A,B),B) | member(f13(A,B),B).  [resolve(43,b,23,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f10(A,B),B) | member(f11(A,B),B).  [resolve(43,b,24,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f10(A,B),B) | member(f12(A,B),B).  [resolve(43,b,25,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f10(A,B),B) | member(f13(A,B),B).  [resolve(43,b,26,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f9(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(43,b,27,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f9(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(43,b,28,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f10(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(43,b,29,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | member(f10(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(43,b,30,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f11(A,B),B).  [resolve(43,b,31,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f12(A,B),B).  [resolve(43,b,32,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f13(A,B),B).  [resolve(43,b,33,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f11(A,B),B).  [resolve(43,b,34,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f12(A,B),B).  [resolve(43,b,35,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f13(A,B),B).  [resolve(43,b,36,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(43,b,37,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(43,b,38,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(43,b,39,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | -least(C,A,f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(43,b,40,a)].
% 0.75/1.01  44 strict_well_order(A,B) | -strict_order(A,B) | member(f7(A,B),f6(A,B)) # label(strict_well_order) # label(axiom).  [clausify(13)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f9(A,B),B) | member(f11(A,B),B).  [resolve(44,b,21,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f9(A,B),B) | member(f12(A,B),B).  [resolve(44,b,22,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f9(A,B),B) | member(f13(A,B),B).  [resolve(44,b,23,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f10(A,B),B) | member(f11(A,B),B).  [resolve(44,b,24,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f10(A,B),B) | member(f12(A,B),B).  [resolve(44,b,25,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f10(A,B),B) | member(f13(A,B),B).  [resolve(44,b,26,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f9(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(44,b,27,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f9(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(44,b,28,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f10(A,B),B) | apply(A,f11(A,B),f12(A,B)).  [resolve(44,b,29,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | member(f10(A,B),B) | apply(A,f12(A,B),f13(A,B)).  [resolve(44,b,30,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f11(A,B),B).  [resolve(44,b,31,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f12(A,B),B).  [resolve(44,b,32,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | member(f13(A,B),B).  [resolve(44,b,33,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f11(A,B),B).  [resolve(44,b,34,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f12(A,B),B).  [resolve(44,b,35,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | member(f13(A,B),B).  [resolve(44,b,36,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(44,b,37,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f9(A,B),f10(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(44,b,38,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | apply(A,f11(A,B),f12(A,B)).  [resolve(44,b,39,a)].
% 0.75/1.01  Derived: strict_well_order(A,B) | member(f7(A,B),f6(A,B)) | apply(A,f10(A,B),f9(A,B)) | apply(A,f12(A,B),f13(A,B)).  [resolve(44,b,40,a)].
% 0.75/1.01  45 strict_order(A,B) | member(f9(A,B),B) | -apply(A,f11(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  Derived: member(f9(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C).  [resolve(45,a,20,a)].
% 0.75/1.01  Derived: member(f9(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | subset(f6(A,B),B).  [resolve(45,a,42,b)].
% 0.75/1.01  Derived: member(f9(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | -least(C,A,f6(A,B)).  [resolve(45,a,43,b)].
% 0.75/1.01  Derived: member(f9(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | member(f7(A,B),f6(A,B)).  [resolve(45,a,44,b)].
% 0.75/1.01  46 strict_order(A,B) | member(f10(A,B),B) | -apply(A,f11(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  Derived: member(f10(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C).  [resolve(46,a,20,a)].
% 0.75/1.01  Derived: member(f10(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | subset(f6(A,B),B).  [resolve(46,a,42,b)].
% 0.75/1.01  Derived: member(f10(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | -least(C,A,f6(A,B)).  [resolve(46,a,43,b)].
% 0.75/1.01  Derived: member(f10(A,B),B) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | member(f7(A,B),f6(A,B)).  [resolve(46,a,44,b)].
% 0.75/1.01  47 strict_order(A,B) | apply(A,f9(A,B),f10(A,B)) | -apply(A,f11(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.01  Derived: apply(A,f9(A,B),f10(A,B)) | -apply(A,f11(A,B),f13(A,B)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C).  [resolve(47,a,20,a)].
% 0.75/1.02  Derived: apply(A,f9(A,B),f10(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | subset(f6(A,B),B).  [resolve(47,a,42,b)].
% 0.75/1.02  Derived: apply(A,f9(A,B),f10(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | -least(C,A,f6(A,B)).  [resolve(47,a,43,b)].
% 0.75/1.02  Derived: apply(A,f9(A,B),f10(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | member(f7(A,B),f6(A,B)).  [resolve(47,a,44,b)].
% 0.75/1.02  48 strict_order(A,B) | apply(A,f10(A,B),f9(A,B)) | -apply(A,f11(A,B),f13(A,B)) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: apply(A,f10(A,B),f9(A,B)) | -apply(A,f11(A,B),f13(A,B)) | -member(C,B) | -member(D,B) | -apply(A,C,D) | -apply(A,D,C).  [resolve(48,a,20,a)].
% 0.75/1.02  Derived: apply(A,f10(A,B),f9(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | subset(f6(A,B),B).  [resolve(48,a,42,b)].
% 0.75/1.02  Derived: apply(A,f10(A,B),f9(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | -least(C,A,f6(A,B)).  [resolve(48,a,43,b)].
% 0.75/1.02  Derived: apply(A,f10(A,B),f9(A,B)) | -apply(A,f11(A,B),f13(A,B)) | strict_well_order(A,B) | member(f7(A,B),f6(A,B)).  [resolve(48,a,44,b)].
% 0.75/1.02  49 -strict_order(A,B) | -member(C,B) | -member(D,B) | -member(E,B) | -apply(A,C,D) | -apply(A,D,E) | apply(A,C,E) # label(strict_order) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | member(f11(E,B),B).  [resolve(49,a,21,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | member(f12(E,B),B).  [resolve(49,a,22,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | member(f13(E,B),B).  [resolve(49,a,23,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | member(f11(E,B),B).  [resolve(49,a,24,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | member(f12(E,B),B).  [resolve(49,a,25,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | member(f13(E,B),B).  [resolve(49,a,26,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | apply(E,f11(E,B),f12(E,B)).  [resolve(49,a,27,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | apply(E,f12(E,B),f13(E,B)).  [resolve(49,a,28,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | apply(E,f11(E,B),f12(E,B)).  [resolve(49,a,29,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | apply(E,f12(E,B),f13(E,B)).  [resolve(49,a,30,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | member(f11(E,B),B).  [resolve(49,a,31,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | member(f12(E,B),B).  [resolve(49,a,32,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | member(f13(E,B),B).  [resolve(49,a,33,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | member(f11(E,B),B).  [resolve(49,a,34,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | member(f12(E,B),B).  [resolve(49,a,35,a)].
% 0.75/1.02  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | member(f13(E,B),B).  [resolve(49,a,36,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | apply(E,f11(E,B),f12(E,B)).  [resolve(49,a,37,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | apply(E,f12(E,B),f13(E,B)).  [resolve(49,a,38,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | apply(E,f11(E,B),f12(E,B)).  [resolve(49,a,39,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | apply(E,f12(E,B),f13(E,B)).  [resolve(49,a,40,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | -strict_well_order(E,B).  [resolve(49,a,41,b)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f9(E,B),B) | -apply(E,f11(E,B),f13(E,B)).  [resolve(49,a,45,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | member(f10(E,B),B) | -apply(E,f11(E,B),f13(E,B)).  [resolve(49,a,46,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f9(E,B),f10(E,B)) | -apply(E,f11(E,B),f13(E,B)).  [resolve(49,a,47,a)].
% 1.96/2.24  Derived: -member(A,B) | -member(C,B) | -member(D,B) | -apply(E,A,C) | -apply(E,C,D) | apply(E,A,D) | apply(E,f10(E,B),f9(E,B)) | -apply(E,f11(E,B),f13(E,B)).  [resolve(49,a,48,a)].
% 1.96/2.24  50 equal_set(A,B) | -subset(A,B) | -subset(B,A) # label(equal_set) # label(axiom).  [clausify(2)].
% 1.96/2.24  51 -equal_set(A,B) | subset(A,B) # label(equal_set) # label(axiom).  [clausify(2)].
% 1.96/2.24  52 -equal_set(A,B) | subset(B,A) # label(equal_set) # label(axiom).  [clausify(2)].
% 1.96/2.24  
% 1.96/2.24  ============================== end predicate elimination =============
% 1.96/2.24  
% 1.96/2.24  Auto_denials:  (non-Horn, no changes).
% 1.96/2.24  
% 1.96/2.24  Term ordering decisions:
% 1.96/2.24  Function symbol KB weights:  member_predicate=1. on=1. empty_set=1. union=1. intersection=1. unordered_pair=1. difference=1. f1=1. f2=1. f3=1. f6=1. f7=1. f9=1. f10=1. f11=1. f12=1. f13=1. singleton=1. product=1. sum=1. power_set=1. suc=1. f4=1. initial_segment=1. f5=1. f8=1.
% 1.96/2.24  
% 1.96/2.24  ============================== end of process initial clauses ========
% 1.96/2.24  
% 1.96/2.24  ============================== CLAUSES FOR SEARCH ====================
% 1.96/2.24  
% 1.96/2.24  ============================== end of clauses for search =============
% 1.96/2.24  
% 1.96/2.24  ============================== SEARCH ================================
% 1.96/2.24  
% 1.96/2.24  % Starting search at 0.05 seconds.
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=45.000, iters=4107
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=42.000, iters=3704
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=39.000, iters=3452
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=37.000, iters=3408
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=36.000, iters=3562
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=33.000, iters=3358
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=32.000, iters=3431
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=30.000, iters=3439
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=28.000, iters=3388
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=26.000, iters=3381
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=22.000, iters=3515
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=19.000, iters=3431
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=18.000, iters=3531
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=17.000, iters=3398
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=16.000, iters=3345
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=15.000, iters=3453
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=5103, wt=80.000
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=14.000, iters=3405
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=5127, wt=77.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=5139, wt=69.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=5151, wt=66.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=2491, wt=59.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=4992, wt=58.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=2505, wt=57.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=2501, wt=56.000
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=13.000, iters=3475
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=5002, wt=55.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=2515, wt=54.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12548, wt=19.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12570, wt=18.000
% 1.96/2.24  
% 1.96/2.24  Low Water (keep): wt=12.000, iters=3490
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12853, wt=16.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12875, wt=15.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12901, wt=14.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12916, wt=13.000
% 1.96/2.24  
% 1.96/2.24  Low Water (displace): id=12921, wt=12.000
% 223.33/223.65  
% 223.33/223.65  Low Water (displace): id=12983, wt=11.000
% 223.33/223.65  
% 223.33/223.65  Low Water (displace): id=13030, wt=10.000
% 223.33/223.65  
% 223.33/223.65  Low Water (displace): id=13816, wt=9.000
% 223.33/223.65  
% 223.33/223.65  Low Water (keep): wt=11.000, iters=3342
% 223.33/223.65  
% 223.33/223.65  Low Water (displace): id=13837, wt=8.000
% 223.33/223.65  
% 223.33/223.65  Low Water (keep): wt=10.000, iters=3334
% 223.33/223.65  
% 223.33/223.65  ============================== STATISTICS ============================
% 223.33/223.65  
% 223.33/223.65  Given=24850. Generated=18811073. Kept=505681. proofs=0.
% 223.33/223.65  Usable=24736. Sos=8410. Demods=14. Limbo=540, Disabled=472195. Hints=0.
% 223.33/223.65  Kept_by_rule=0, Deleted_by_rule=0.
% 223.33/223.65  Forward_subsumed=831948. Back_subsumed=449342.
% 223.33/223.65  Sos_limit_deleted=17473444. Sos_displaced=22502. Sos_removed=0.
% 223.33/223.65  New_demodulators=15 (0 lex), Back_demodulated=148. Back_unit_deleted=3.
% 223.33/223.65  Demod_attempts=358525793. Demod_rewrites=2958.
% 223.33/223.65  Res_instance_prunes=0. Para_instance_prunes=0. Basic_paramod_prunes=0.
% 223.33/223.65  Nonunit_fsub_feature_tests=105377510. Nonunit_bsub_feature_tests=8112439.
% 223.33/223.65  Megabytes=419.43.
% 223.33/223.65  User_CPU=213.17, System_CPU=9.42, Wall_clock=223.
% 223.33/223.65  
% 223.33/223.65  Megs malloced by palloc(): 400.
% 223.33/223.65    type (bytes each)        gets      frees     in use      bytes
% 223.33/223.65  chunk ( 104)                928        928          0      0.0 K
% 223.33/223.65  string_buf (   8)           728        728          0      0.0 K
% 223.33/223.65  token (  20)               1555       1555          0      0.0 K
% 223.33/223.65  pterm (  16)                817        817          0      0.0 K
% 223.33/223.65  hashtab (   8)               19         19          0      0.0 K
% 223.33/223.65  hashnode (   8)             153        153          0      0.0 K
% 223.33/223.65  term (  20)           362307187  352577714    9729473 190028.8 K
% 223.33/223.65        term arg arrays:                                 42773.1 K
% 223.33/223.65  attribute (  12)            301          0        301      3.5 K
% 223.33/223.65  ilist (   8)          543939323  541914566    2024757  15818.4 K
% 223.33/223.65  plist (   8)            1608036    1067899     540137   4219.8 K
% 223.33/223.65  i2list (  12)            737076     737076          0      0.0 K
% 223.33/223.65  just (  12)            18840544   18333561     506983   5941.2 K
% 223.33/223.65  parajust (  16)            3128       3094         34      0.5 K
% 223.33/223.65  instancejust (   8)           0          0          0      0.0 K
% 223.33/223.65  ivyjust (  24)                0          0          0      0.0 K
% 223.33/223.65  formula (  28)             1577       1241        336      9.2 K
% 223.33/223.65      formula arg arrays:                                    1.2 K
% 223.33/223.65  topform (  52)         18811298   18305397     505901  25690.3 K
% 223.33/223.65  clist_pos (  20)        1508127    1002232     505895   9880.8 K
% 223.33/223.65  clist (  16)                  8          1          7      0.1 K
% 223.33/223.65  context ( 808)         83084016   83084014          2      1.6 K
% 223.33/223.65  trail (  12)          232594187  232594185          2      0.0 K
% 223.33/223.65  ac_match_pos (70044)          0          0          0      0.0 K
% 223.33/223.65  ac_match_free_vars_pos (20020)
% 223.33/223.65                                0          0          0      0.0 K
% 223.33/223.65  btm_state (  60)              0          0          0      0.0 K
% 223.33/223.65  btu_state (  60)              0          0          0      0.0 K
% 223.33/223.65  ac_position (285432)          0          0          0      0.0 K
% 223.33/223.65  fpa_trie (  20)         4662038    1547872    3114166  60823.6 K
% 223.33/223.65  fpa_state (  28)        1855526    1855521          5      0.1 K
% 223.33/223.65  fpa_index (  12)             10          0         10      0.1 K
% 223.33/223.65  fpa_chunk (  20)        2458392    2357320     101072   1974.1 K
% 223.33/223.65  fpa_list (  16)         1633416          0    1633416  25522.1 K
% 223.33/223.65        fpa_list chunks:                                  3763.0 K
% 223.33/223.65  discrim (  12)           121368      46467      74901    877.7 K
% 223.33/223.65  discrim_pos (  16)       348438     348438          0      0.0 K
% 223.33/223.65  flat2 (  32)           97788581   97788581          0      0.0 K
% 223.33/223.65  flat (  48)                   0          0          0      0.0 K
% 223.33/223.65  flatterm (  32)       434436104  434436104          0      0.0 K
% 223.33/223.65  mindex (  28)                13          0         13      0.4 K
% 223.33/223.65  mindex_pos (  56)      34586606   34586605          1      0.1 K
% 223.33/223.65  lindex (  12)                 5          0          5      0.1 K
% 223.33/223.65  clash (  40)                  0          0          0      0.0 K
% 223.33/223.65  di_tree (  12)         17224073   16820975     403098   4723.8 K
% 223.33/223.65  avl_node (  20)         1010053     993233      16820    328.5 K
% 223.33/223.65  
% 223.33/223.65  Memory report, 20 @ 20 = 400 megs (400.00 megs used).
% 223.33/223.65  List   1, length      24,      0.1 K
% 223.33/223.65  List   2, length     118,      0.9 K
% 223.33/223.65  List   3, length    3497,     41.0 K
% 223.33/223.65  List   4, length      60,      0.9 K
% 223.33/223.65  List   8, length      55,      1.7 K
% 223.33/223.65  List  14, length       1,      0.1 K
% 223.33/223.65  List  16, length      87,      5.4 K
% 223.33/223.65  List  24, length       2,      0.2 K
% 223.33/223.65  List  26, length      75,      7.6 K
% 223.33/223.65  List  32, length      91,     11.4 K
% 223.33/223.65  List  64, length     165,     41.2 K
% 223.33/223.65  List 128, length      41,     20.5 K
% 223.33/223.65  List 202, length       2,      1.6 K
% 223.33/223.65  List 256, length      11,     11.0 K
% 223.33/223.65  
% 223.33/223.65  ============================== SELECTOR REPORT =======================
% 223.33/223.65  Sos_deleted=17473444, Sos_displaced=22502, Sos_size=8410
% 223.33/223.65    SELECTOR       PART   PRIORITY      ORDER       SIZE   SELECTED
% 223.33/223.65           I 2147483647       high        age          0        229
% 223.33/223.65           H          1       high     weight          0          0
% 223.33/223.65           A          1        low        age       8410       4313
% 223.33/223.65           F          4        low     weight          0       3058
% 223.33/223.65           T          4        low     weight       8410      17250
% 223.33/223.65  ============================== end of selector report ================
% 223.33/223.65  
% 223.33/223.65  ============================== end of statistics =====================
% 223.33/223.65  
% 223.33/223.65  Exiting with failure.
% 223.33/223.65  
% 223.33/223.65  Process 7945 exit (max_megs) Tue Jun 28 08:56:52 2022
% 223.33/223.65  Prover9 interrupted
%------------------------------------------------------------------------------