TSTP Solution File: SET658+3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 04:31:13 EDT 2022

% Result   : Theorem 0.75s 1.03s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET658+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 20:47:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.02  ============================== Prover9 ===============================
% 0.75/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.02  Process 12756 was started by sandbox on n010.cluster.edu,
% 0.75/1.02  Sat Jul  9 20:47:01 2022
% 0.75/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12598_n010.cluster.edu".
% 0.75/1.02  ============================== end of head ===========================
% 0.75/1.02  
% 0.75/1.02  ============================== INPUT =================================
% 0.75/1.02  
% 0.75/1.02  % Reading from file /tmp/Prover9_12598_n010.cluster.edu
% 0.75/1.02  
% 0.75/1.02  set(prolog_style_variables).
% 0.75/1.02  set(auto2).
% 0.75/1.02      % set(auto2) -> set(auto).
% 0.75/1.02      % set(auto) -> set(auto_inference).
% 0.75/1.02      % set(auto) -> set(auto_setup).
% 0.75/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.75/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.02      % set(auto) -> set(auto_limits).
% 0.75/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.02      % set(auto) -> set(auto_denials).
% 0.75/1.02      % set(auto) -> set(auto_process).
% 0.75/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.75/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.75/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.75/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.75/1.02      % set(auto2) -> assign(stats, some).
% 0.75/1.02      % set(auto2) -> clear(echo_input).
% 0.75/1.02      % set(auto2) -> set(quiet).
% 0.75/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.02      % set(auto2) -> clear(print_given).
% 0.75/1.02  assign(lrs_ticks,-1).
% 0.75/1.02  assign(sos_limit,10000).
% 0.75/1.02  assign(order,kbo).
% 0.75/1.02  set(lex_order_vars).
% 0.75/1.02  clear(print_given).
% 0.75/1.02  
% 0.75/1.02  % formulas(sos).  % not echoed (29 formulas)
% 0.75/1.02  
% 0.75/1.02  ============================== end of input ==========================
% 0.75/1.02  
% 0.75/1.02  % From the command line: assign(max_seconds, 300).
% 0.75/1.02  
% 0.75/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.02  
% 0.75/1.02  % Formulas that are not ordinary clauses:
% 0.75/1.02  1 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,binary_relation_type) -> (subset(domain_of(C),B) -> ilf_type(C,relation_type(B,range_of(C)))))))) # label(p1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  2 (all B (ilf_type(B,binary_relation_type) -> (all C (ilf_type(C,set_type) -> (member(C,domain_of(B)) <-> (exists D (ilf_type(D,set_type) & member(ordered_pair(C,D),B)))))))) # label(p2) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  3 (all B (ilf_type(B,binary_relation_type) -> ilf_type(domain_of(B),set_type))) # label(p3) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  4 (all B (ilf_type(B,binary_relation_type) -> (all C (ilf_type(C,set_type) -> (member(C,range_of(B)) <-> (exists D (ilf_type(D,set_type) & member(ordered_pair(D,C),B)))))))) # label(p4) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  5 (all B (ilf_type(B,binary_relation_type) -> ilf_type(range_of(B),set_type))) # label(p5) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  6 (all B (ilf_type(B,set_type) -> (ilf_type(B,binary_relation_type) <-> relation_like(B) & ilf_type(B,set_type)))) # label(p6) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  7 (exists B ilf_type(B,binary_relation_type)) # label(p7) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  8 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,subset_type(cross_product(B,C))) -> ilf_type(D,relation_type(B,C)))) & (all E (ilf_type(E,relation_type(B,C)) -> ilf_type(E,subset_type(cross_product(B,C))))))))) # label(p8) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  9 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (exists D ilf_type(D,relation_type(C,B))))))) # label(p9) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  10 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ilf_type(cross_product(B,C),set_type))))) # label(p10) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  11 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> ilf_type(ordered_pair(B,C),set_type))))) # label(p11) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  12 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (ilf_type(C,subset_type(B)) <-> ilf_type(C,member_type(power_set(B)))))))) # label(p12) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  13 (all B (ilf_type(B,set_type) -> (exists C ilf_type(C,subset_type(B))))) # label(p13) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  14 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (subset(B,C) <-> (all D (ilf_type(D,set_type) -> (member(D,B) -> member(D,C))))))))) # label(p14) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  15 (all B (ilf_type(B,set_type) -> subset(B,B))) # label(p15) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  16 (all B (ilf_type(B,set_type) -> (relation_like(B) <-> (all C (ilf_type(C,set_type) -> (member(C,B) -> (exists D (ilf_type(D,set_type) & (exists E (ilf_type(E,set_type) & C = ordered_pair(D,E))))))))))) # label(p16) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  17 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,subset_type(cross_product(B,C))) -> relation_like(D))))))) # label(p17) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  18 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (member(B,power_set(C)) <-> (all D (ilf_type(D,set_type) -> (member(D,B) -> member(D,C))))))))) # label(p18) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  19 (all B (ilf_type(B,set_type) -> -empty(power_set(B)) & ilf_type(power_set(B),set_type))) # label(p19) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  20 (all B (ilf_type(B,set_type) -> (all C (-empty(C) & ilf_type(C,set_type) -> (ilf_type(B,member_type(C)) <-> member(B,C)))))) # label(p20) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  21 (all B (-empty(B) & ilf_type(B,set_type) -> (exists C ilf_type(C,member_type(B))))) # label(p21) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  22 (all B (ilf_type(B,set_type) -> (empty(B) <-> (all C (ilf_type(C,set_type) -> -member(C,B)))))) # label(p22) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  23 (all B (empty(B) & ilf_type(B,set_type) -> relation_like(B))) # label(p23) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  24 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> domain(B,C,D) = domain_of(D))))))) # label(p24) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  25 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> ilf_type(domain(B,C,D),subset_type(B)))))))) # label(p25) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  26 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> range(B,C,D) = range_of(D))))))) # label(p26) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  27 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,set_type) -> (all D (ilf_type(D,relation_type(B,C)) -> ilf_type(range(B,C,D),subset_type(C)))))))) # label(p27) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  28 (all B ilf_type(B,set_type)) # label(p28) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.02  29 -(all B (ilf_type(B,binary_relation_type) -> ilf_type(B,relation_type(domain_of(B),range_of(B))))) # label(prove_relset_1_20) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.75/1.02  
% 0.75/1.02  ============================== end of process non-clausal formulas ===
% 0.75/1.02  
% 0.75/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.02  
% 0.75/1.02  ============================== PREDICATE ELIMINATION =================
% 0.75/1.02  30 -ilf_type(A,set_type) | ilf_type(A,binary_relation_type) | -relation_like(A) # label(p6) # label(axiom).  [clausify(6)].
% 0.75/1.02  31 -empty(A) | -ilf_type(A,set_type) | relation_like(A) # label(p23) # label(axiom).  [clausify(23)].
% 0.75/1.02  32 -ilf_type(A,set_type) | -ilf_type(A,binary_relation_type) | relation_like(A) # label(p6) # label(axiom).  [clausify(6)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | ilf_type(A,binary_relation_type) | -empty(A) | -ilf_type(A,set_type).  [resolve(30,c,31,c)].
% 0.75/1.02  33 -ilf_type(A,set_type) | relation_like(A) | ilf_type(f8(A),set_type) # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | ilf_type(f8(A),set_type) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type).  [resolve(33,b,30,c)].
% 0.75/1.02  34 -ilf_type(A,set_type) | relation_like(A) | member(f8(A),A) # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | member(f8(A),A) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type).  [resolve(34,b,30,c)].
% 0.75/1.02  35 -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | relation_like(C) # label(p17) # label(axiom).  [clausify(17)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,subset_type(cross_product(A,B))) | -ilf_type(C,set_type) | ilf_type(C,binary_relation_type).  [resolve(35,d,30,c)].
% 0.75/1.02  36 -ilf_type(A,set_type) | -relation_like(A) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) | -empty(A) | -ilf_type(A,set_type).  [resolve(36,b,31,c)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) | -ilf_type(A,set_type) | -ilf_type(A,binary_relation_type).  [resolve(36,b,32,c)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) | -ilf_type(A,set_type) | ilf_type(f8(A),set_type).  [resolve(36,b,33,b)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) | -ilf_type(A,set_type) | member(f8(A),A).  [resolve(36,b,34,b)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f6(A,B),set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | -ilf_type(A,subset_type(cross_product(C,D))).  [resolve(36,b,35,d)].
% 0.75/1.02  37 -ilf_type(A,set_type) | -relation_like(A) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) | -empty(A) | -ilf_type(A,set_type).  [resolve(37,b,31,c)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) | -ilf_type(A,set_type) | -ilf_type(A,binary_relation_type).  [resolve(37,b,32,c)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) | -ilf_type(A,set_type) | ilf_type(f8(A),set_type).  [resolve(37,b,33,b)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) | -ilf_type(A,set_type) | member(f8(A),A).  [resolve(37,b,34,b)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ilf_type(f7(A,B),set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | -ilf_type(A,subset_type(cross_product(C,D))).  [resolve(37,b,35,d)].
% 0.75/1.02  38 -ilf_type(A,set_type) | relation_like(A) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f8(A) # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f8(A) | -ilf_type(A,set_type) | ilf_type(A,binary_relation_type).  [resolve(38,b,30,c)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f8(A) | -ilf_type(A,set_type) | -ilf_type(D,set_type) | -member(D,A) | ilf_type(f6(A,D),set_type).  [resolve(38,b,36,b)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -ilf_type(C,set_type) | ordered_pair(B,C) != f8(A) | -ilf_type(A,set_type) | -ilf_type(D,set_type) | -member(D,A) | ilf_type(f7(A,D),set_type).  [resolve(38,b,37,b)].
% 0.75/1.02  39 -ilf_type(A,set_type) | -relation_like(A) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B # label(p16) # label(axiom).  [clausify(16)].
% 0.75/1.02  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -empty(A) | -ilf_type(A,set_type).  [resolve(39,b,31,c)].
% 0.75/1.03  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -ilf_type(A,set_type) | -ilf_type(A,binary_relation_type).  [resolve(39,b,32,c)].
% 0.75/1.03  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -ilf_type(A,set_type) | ilf_type(f8(A),set_type).  [resolve(39,b,33,b)].
% 0.75/1.03  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -ilf_type(A,set_type) | member(f8(A),A).  [resolve(39,b,34,b)].
% 0.75/1.03  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -ilf_type(C,set_type) | -ilf_type(D,set_type) | -ilf_type(A,subset_type(cross_product(C,D))).  [resolve(39,b,35,d)].
% 0.75/1.03  Derived: -ilf_type(A,set_type) | -ilf_type(B,set_type) | -member(B,A) | ordered_pair(f6(A,B),f7(A,B)) = B | -ilf_type(A,set_type) | -ilf_type(C,set_type) | -ilf_type(D,set_type) | ordered_pair(C,D) != f8(A).  [resolve(39,b,38,b)].
% 0.75/1.03  
% 0.75/1.03  ============================== end predicate elimination =============
% 0.75/1.03  
% 0.75/1.03  Auto_denials:  (non-Horn, no changes).
% 0.75/1.03  
% 0.75/1.03  Term ordering decisions:
% 0.75/1.03  Function symbol KB weights:  set_type=1. binary_relation_type=1. c1=1. c2=1. ordered_pair=1. relation_type=1. cross_product=1. f1=1. f2=1. f3=1. f5=1. f6=1. f7=1. f9=1. subset_type=1. power_set=1. domain_of=1. range_of=1. member_type=1. f4=1. f8=1. f10=1. f11=1. domain=1. range=1.
% 0.75/1.03  
% 0.75/1.03  ============================== end of process initial clauses ========
% 0.75/1.03  
% 0.75/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.03  
% 0.75/1.03  ============================== end of clauses for search =============
% 0.75/1.03  
% 0.75/1.03  ============================== SEARCH ================================
% 0.75/1.03  
% 0.75/1.03  % Starting search at 0.02 seconds.
% 0.75/1.03  
% 0.75/1.03  ============================== PROOF =================================
% 0.75/1.03  % SZS status Theorem
% 0.75/1.03  % SZS output start Refutation
% 0.75/1.03  
% 0.75/1.03  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.75/1.03  % Length of proof is 12.
% 0.75/1.03  % Level of proof is 3.
% 0.75/1.03  % Maximum clause weight is 13.000.
% 0.75/1.03  % Given clauses 20.
% 0.75/1.03  
% 0.75/1.03  1 (all B (ilf_type(B,set_type) -> (all C (ilf_type(C,binary_relation_type) -> (subset(domain_of(C),B) -> ilf_type(C,relation_type(B,range_of(C)))))))) # label(p1) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.03  15 (all B (ilf_type(B,set_type) -> subset(B,B))) # label(p15) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.03  28 (all B ilf_type(B,set_type)) # label(p28) # label(axiom) # label(non_clause).  [assumption].
% 0.75/1.03  29 -(all B (ilf_type(B,binary_relation_type) -> ilf_type(B,relation_type(domain_of(B),range_of(B))))) # label(prove_relset_1_20) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.75/1.03  41 ilf_type(A,set_type) # label(p28) # label(axiom).  [clausify(28)].
% 0.75/1.03  42 ilf_type(c2,binary_relation_type) # label(prove_relset_1_20) # label(negated_conjecture).  [clausify(29)].
% 0.75/1.03  45 -ilf_type(c2,relation_type(domain_of(c2),range_of(c2))) # label(prove_relset_1_20) # label(negated_conjecture).  [clausify(29)].
% 0.75/1.03  48 -ilf_type(A,set_type) | subset(A,A) # label(p15) # label(axiom).  [clausify(15)].
% 0.75/1.03  49 subset(A,A).  [copy(48),unit_del(a,41)].
% 0.75/1.03  82 -ilf_type(A,set_type) | -ilf_type(B,binary_relation_type) | -subset(domain_of(B),A) | ilf_type(B,relation_type(A,range_of(B))) # label(p1) # label(axiom).  [clausify(1)].
% 0.75/1.03  83 -ilf_type(A,binary_relation_type) | -subset(domain_of(A),B) | ilf_type(A,relation_type(B,range_of(A))).  [copy(82),unit_del(a,41)].
% 0.75/1.03  149 $F.  [ur(83,b,49,a,c,45,a),unit_del(a,42)].
% 0.75/1.03  
% 0.75/1.03  % SZS output end Refutation
% 0.75/1.03  ============================== end of proof ==========================
% 0.75/1.03  
% 0.75/1.03  ============================== STATISTICS ============================
% 0.75/1.03  
% 0.75/1.03  Given=20. Generated=77. Kept=50. proofs=1.
% 0.75/1.03  Usable=20. Sos=28. Demods=0. Limbo=2, Disabled=75. Hints=0.
% 0.75/1.03  Megabytes=0.17.
% 0.75/1.03  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.75/1.03  
% 0.75/1.03  ============================== end of statistics =====================
% 0.75/1.03  
% 0.75/1.03  ============================== end of search =========================
% 0.75/1.03  
% 0.75/1.03  THEOREM PROVED
% 0.75/1.03  % SZS status Theorem
% 0.75/1.03  
% 0.75/1.03  Exiting with 1 proof.
% 0.75/1.03  
% 0.75/1.03  Process 12756 exit (max_proofs) Sat Jul  9 20:47:01 2022
% 0.75/1.03  Prover9 interrupted
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