TSTP Solution File: SEU150+2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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 13:29:23 EDT 2022

% Result   : Theorem 0.83s 1.21s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jun 20 00:19:30 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.83/1.08  ============================== Prover9 ===============================
% 0.83/1.08  Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.08  Process 4249 was started by sandbox on n015.cluster.edu,
% 0.83/1.08  Mon Jun 20 00:19:31 2022
% 0.83/1.08  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3954_n015.cluster.edu".
% 0.83/1.08  ============================== end of head ===========================
% 0.83/1.08  
% 0.83/1.08  ============================== INPUT =================================
% 0.83/1.08  
% 0.83/1.08  % Reading from file /tmp/Prover9_3954_n015.cluster.edu
% 0.83/1.08  
% 0.83/1.08  set(prolog_style_variables).
% 0.83/1.08  set(auto2).
% 0.83/1.08      % set(auto2) -> set(auto).
% 0.83/1.08      % set(auto) -> set(auto_inference).
% 0.83/1.08      % set(auto) -> set(auto_setup).
% 0.83/1.08      % set(auto_setup) -> set(predicate_elim).
% 0.83/1.08      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.08      % set(auto) -> set(auto_limits).
% 0.83/1.08      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.08      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.08      % set(auto) -> set(auto_denials).
% 0.83/1.08      % set(auto) -> set(auto_process).
% 0.83/1.08      % set(auto2) -> assign(new_constants, 1).
% 0.83/1.08      % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.08      % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.08      % set(auto2) -> assign(max_hours, 1).
% 0.83/1.08      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.08      % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.08      % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.08      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.08      % set(auto2) -> set(sort_initial_sos).
% 0.83/1.08      % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.08      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.08      % set(auto2) -> assign(max_megs, 400).
% 0.83/1.08      % set(auto2) -> assign(stats, some).
% 0.83/1.08      % set(auto2) -> clear(echo_input).
% 0.83/1.08      % set(auto2) -> set(quiet).
% 0.83/1.08      % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.08      % set(auto2) -> clear(print_given).
% 0.83/1.08  assign(lrs_ticks,-1).
% 0.83/1.08  assign(sos_limit,10000).
% 0.83/1.08  assign(order,kbo).
% 0.83/1.08  set(lex_order_vars).
% 0.83/1.08  clear(print_given).
% 0.83/1.08  
% 0.83/1.08  % formulas(sos).  % not echoed (73 formulas)
% 0.83/1.08  
% 0.83/1.08  ============================== end of input ==========================
% 0.83/1.08  
% 0.83/1.08  % From the command line: assign(max_seconds, 300).
% 0.83/1.08  
% 0.83/1.08  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.08  
% 0.83/1.08  % Formulas that are not ordinary clauses:
% 0.83/1.08  1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  2 (all A all B (proper_subset(A,B) -> -proper_subset(B,A))) # label(antisymmetry_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  3 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  4 (all A all B set_union2(A,B) = set_union2(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  5 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  6 (all A all B (A = B <-> subset(A,B) & subset(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  7 (all A all B (B = singleton(A) <-> (all C (in(C,B) <-> C = A)))) # label(d1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  8 (all A (A = empty_set <-> (all B -in(B,A)))) # label(d1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  9 (all A all B (B = powerset(A) <-> (all C (in(C,B) <-> subset(C,A))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  10 (all A all B all C (C = unordered_pair(A,B) <-> (all D (in(D,C) <-> D = A | D = B)))) # label(d2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  11 (all A all B all C (C = set_union2(A,B) <-> (all D (in(D,C) <-> in(D,A) | in(D,B))))) # label(d2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  12 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  13 (all A all B all C (C = set_intersection2(A,B) <-> (all D (in(D,C) <-> in(D,A) & in(D,B))))) # label(d3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  14 (all A all B all C (C = set_difference(A,B) <-> (all D (in(D,C) <-> in(D,A) & -in(D,B))))) # label(d4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  15 (all A all B (disjoint(A,B) <-> set_intersection2(A,B) = empty_set)) # label(d7_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  16 (all A all B (proper_subset(A,B) <-> subset(A,B) & A != B)) # label(d8_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  17 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  18 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  19 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  20 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  21 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  22 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  23 $T # label(dt_k4_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  24 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  25 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  26 (all A all B set_union2(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  27 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  28 (all A all B -proper_subset(A,A)) # label(irreflexivity_r2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  29 (all A singleton(A) != empty_set) # label(l1_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  30 (all A all B (subset(singleton(A),B) <-> in(A,B))) # label(l2_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  31 (all A all B (set_difference(A,B) = empty_set <-> subset(A,B))) # label(l32_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  32 (all A all B all C (subset(A,B) -> in(C,A) | subset(A,set_difference(B,singleton(C))))) # label(l3_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  33 (all A all B (subset(A,singleton(B)) <-> A = empty_set | A = singleton(B))) # label(l4_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  34 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  35 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  36 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  37 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  38 (all A all B (subset(A,B) -> set_union2(A,B) = B)) # label(t12_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  39 (all A all B subset(set_intersection2(A,B),A)) # label(t17_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  40 (all A all B all C (subset(A,B) & subset(A,C) -> subset(A,set_intersection2(B,C)))) # label(t19_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  41 (all A set_union2(A,empty_set) = A) # label(t1_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  42 (all A all B all C (subset(A,B) & subset(B,C) -> subset(A,C))) # label(t1_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  43 (all A all B all C (subset(A,B) -> subset(set_intersection2(A,C),set_intersection2(B,C)))) # label(t26_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  44 (all A all B (subset(A,B) -> set_intersection2(A,B) = A)) # label(t28_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  45 (all A set_intersection2(A,empty_set) = empty_set) # label(t2_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  46 (all A all B ((all C (in(C,A) <-> in(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.08  47 (all A subset(empty_set,A)) # label(t2_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.08  48 (all A all B all C (subset(A,B) -> subset(set_difference(A,C),set_difference(B,C)))) # label(t33_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  49 (all A all B subset(set_difference(A,B),A)) # label(t36_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  50 (all A all B (set_difference(A,B) = empty_set <-> subset(A,B))) # label(t37_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  51 (all A all B set_union2(A,set_difference(B,A)) = set_union2(A,B)) # label(t39_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  52 (all A set_difference(A,empty_set) = A) # label(t3_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  53 (all A all B (-(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))) & -((exists C (in(C,A) & in(C,B))) & disjoint(A,B)))) # label(t3_xboole_0) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  54 (all A (subset(A,empty_set) -> A = empty_set)) # label(t3_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  55 (all A all B set_difference(set_union2(A,B),B) = set_difference(A,B)) # label(t40_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  56 (all A all B (subset(A,B) -> B = set_union2(A,set_difference(B,A)))) # label(t45_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  57 (all A all B set_difference(A,set_difference(A,B)) = set_intersection2(A,B)) # label(t48_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  58 (all A set_difference(empty_set,A) = empty_set) # label(t4_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  59 (all A all B (-(-disjoint(A,B) & (all C -in(C,set_intersection2(A,B)))) & -((exists C in(C,set_intersection2(A,B))) & disjoint(A,B)))) # label(t4_xboole_0) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  60 (all A all B -(subset(A,B) & proper_subset(B,A))) # label(t60_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  61 (all A all B all C (subset(A,B) & disjoint(B,C) -> disjoint(A,C))) # label(t63_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  62 (all A unordered_pair(A,A) = singleton(A)) # label(t69_enumset1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  63 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  64 (all A all B (subset(singleton(A),singleton(B)) -> A = B)) # label(t6_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  65 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  66 (all A all B subset(A,set_union2(A,B))) # label(t7_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  67 (all A all B (disjoint(A,B) <-> set_difference(A,B) = A)) # label(t83_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  68 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  69 (all A all B all C (subset(A,B) & subset(C,B) -> subset(set_union2(A,C),B))) # label(t8_xboole_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  70 (all A all B all C (singleton(A) = unordered_pair(B,C) -> A = B)) # label(t8_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  71 -(all A all B all C (singleton(A) = unordered_pair(B,C) -> B = C)) # label(t9_zfmisc_1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.83/1.21  
% 0.83/1.21  ============================== end of process non-clausal formulas ===
% 0.83/1.21  
% 0.83/1.21  ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.21  
% 0.83/1.21  ============================== PREDICATE ELIMINATION =================
% 0.83/1.21  
% 0.83/1.21  ============================== end predicate elimination =============
% 0.83/1.21  
% 0.83/1.21  Auto_denials:  (non-Horn, no changes).
% 0.83/1.21  
% 0.83/1.21  Term ordering decisions:
% 0.83/1.21  Function symbol KB weights:  empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. set_difference=1. set_intersection2=1. set_union2=1. unordered_pair=1. f1=1. f3=1. f6=1. f9=1. f10=1. f11=1. singleton=1. powerset=1. f2=1. f4=1. f5=1. f7=1. f8=1.
% 0.83/1.21  
% 0.83/1.21  ============================== end of process initial clauses ========
% 0.83/1.21  
% 0.83/1.21  ============================== CLAUSES FOR SEARCH ====================
% 0.83/1.21  
% 0.83/1.21  ============================== end of clauses for search =============
% 0.83/1.21  
% 0.83/1.21  ============================== SEARCH ================================
% 0.83/1.21  
% 0.83/1.21  % Starting search at 0.02 seconds.
% 0.83/1.21  
% 0.83/1.21  ============================== PROOF =================================
% 0.83/1.21  % SZS status Theorem
% 0.83/1.21  % SZS output start Refutation
% 0.83/1.21  
% 0.83/1.21  % Proof 1 at 0.14 (+ 0.00) seconds.
% 0.83/1.21  % Length of proof is 26.
% 0.83/1.21  % Level of proof is 7.
% 0.83/1.21  % Maximum clause weight is 11.000.
% 0.83/1.21  % Given clauses 237.
% 0.83/1.21  
% 0.83/1.21  3 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  10 (all A all B all C (C = unordered_pair(A,B) <-> (all D (in(D,C) <-> D = A | D = B)))) # label(d2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.83/1.21  30 (all A all B (subset(singleton(A),B) <-> in(A,B))) # label(l2_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  62 (all A unordered_pair(A,A) = singleton(A)) # label(t69_enumset1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  64 (all A all B (subset(singleton(A),singleton(B)) -> A = B)) # label(t6_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  70 (all A all B all C (singleton(A) = unordered_pair(B,C) -> A = B)) # label(t8_zfmisc_1) # label(lemma) # label(non_clause).  [assumption].
% 0.83/1.21  71 -(all A all B all C (singleton(A) = unordered_pair(B,C) -> B = C)) # label(t9_zfmisc_1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.83/1.21  74 unordered_pair(A,B) = unordered_pair(B,A) # label(commutativity_k2_tarski) # label(axiom).  [clausify(3)].
% 0.83/1.21  92 unordered_pair(A,B) != C | in(D,C) | D != B # label(d2_tarski) # label(axiom).  [clausify(10)].
% 0.83/1.21  130 subset(singleton(A),B) | -in(A,B) # label(l2_zfmisc_1) # label(lemma).  [clausify(30)].
% 0.83/1.21  171 singleton(A) = unordered_pair(A,A) # label(t69_enumset1) # label(lemma).  [clausify(62)].
% 0.83/1.21  173 -subset(singleton(A),singleton(B)) | B = A # label(t6_zfmisc_1) # label(lemma).  [clausify(64)].
% 0.83/1.21  174 -subset(unordered_pair(A,A),unordered_pair(B,B)) | B = A.  [copy(173),rewrite([171(1),171(2)])].
% 0.83/1.21  181 singleton(A) != unordered_pair(B,C) | B = A # label(t8_zfmisc_1) # label(lemma).  [clausify(70)].
% 0.83/1.21  182 unordered_pair(A,B) != unordered_pair(C,C) | A = C.  [copy(181),rewrite([171(1)]),flip(a)].
% 0.83/1.21  183 singleton(c3) = unordered_pair(c4,c5) # label(t9_zfmisc_1) # label(negated_conjecture).  [clausify(71)].
% 0.83/1.21  184 unordered_pair(c4,c5) = unordered_pair(c3,c3).  [copy(183),rewrite([171(2)]),flip(a)].
% 0.83/1.21  185 c5 != c4 # label(t9_zfmisc_1) # label(negated_conjecture).  [clausify(71)].
% 0.83/1.21  225 subset(unordered_pair(A,A),B) | -in(A,B).  [back_rewrite(130),rewrite([171(1)])].
% 0.83/1.21  241 unordered_pair(A,B) != C | in(B,C).  [xx_res(92,c)].
% 0.83/1.21  601 c4 = c3.  [resolve(184,a,182,a)].
% 0.83/1.21  609 unordered_pair(c3,c5) = unordered_pair(c3,c3).  [para(184(a,1),74(a,1)),rewrite([601(5),74(6)]),flip(a)].
% 0.83/1.21  612 c5 != c3.  [back_rewrite(185),rewrite([601(2)])].
% 0.83/1.21  1439 in(c5,unordered_pair(c3,c3)).  [resolve(241,a,609,a)].
% 0.83/1.21  1469 subset(unordered_pair(c5,c5),unordered_pair(c3,c3)).  [resolve(1439,a,225,b)].
% 0.83/1.21  1724 $F.  [resolve(1469,a,174,a),flip(a),unit_del(a,612)].
% 0.83/1.21  
% 0.83/1.21  % SZS output end Refutation
% 0.83/1.21  ============================== end of proof ==========================
% 0.83/1.21  
% 0.83/1.21  ============================== STATISTICS ============================
% 0.83/1.21  
% 0.83/1.21  Given=237. Generated=3596. Kept=1644. proofs=1.
% 0.83/1.21  Usable=206. Sos=1230. Demods=57. Limbo=2, Disabled=317. Hints=0.
% 0.83/1.21  Megabytes=1.65.
% 0.83/1.21  User_CPU=0.14, System_CPU=0.00, Wall_clock=0.
% 0.83/1.21  
% 0.83/1.21  ============================== end of statistics =====================
% 0.83/1.21  
% 0.83/1.21  ============================== end of search =========================
% 0.83/1.21  
% 0.83/1.21  THEOREM PROVED
% 0.83/1.21  % SZS status Theorem
% 0.83/1.21  
% 0.83/1.21  Exiting with 1 proof.
% 0.83/1.21  
% 0.83/1.21  Process 4249 exit (max_proofs) Mon Jun 20 00:19:31 2022
% 0.83/1.21  Prover9 interrupted
%------------------------------------------------------------------------------