TSTP Solution File: SYO607+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : Thu Jul 21 19:17:33 EDT 2022

% Result   : Theorem 0.81s 1.08s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYO607+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Fri Jul  8 20:07:21 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.69/0.98  ============================== Prover9 ===============================
% 0.69/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.69/0.98  Process 31745 was started by sandbox2 on n015.cluster.edu,
% 0.69/0.98  Fri Jul  8 20:07:22 2022
% 0.69/0.98  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_31591_n015.cluster.edu".
% 0.69/0.98  ============================== end of head ===========================
% 0.69/0.98  
% 0.69/0.98  ============================== INPUT =================================
% 0.69/0.98  
% 0.69/0.98  % Reading from file /tmp/Prover9_31591_n015.cluster.edu
% 0.69/0.98  
% 0.69/0.98  set(prolog_style_variables).
% 0.69/0.98  set(auto2).
% 0.69/0.98      % set(auto2) -> set(auto).
% 0.69/0.98      % set(auto) -> set(auto_inference).
% 0.69/0.98      % set(auto) -> set(auto_setup).
% 0.69/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.69/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.69/0.98      % set(auto) -> set(auto_limits).
% 0.69/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.69/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.69/0.98      % set(auto) -> set(auto_denials).
% 0.69/0.98      % set(auto) -> set(auto_process).
% 0.69/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.69/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.69/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.69/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.69/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.69/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.69/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.69/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.69/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.69/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.69/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.69/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.69/0.98      % set(auto2) -> assign(stats, some).
% 0.69/0.98      % set(auto2) -> clear(echo_input).
% 0.69/0.98      % set(auto2) -> set(quiet).
% 0.69/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.69/0.98      % set(auto2) -> clear(print_given).
% 0.69/0.98  assign(lrs_ticks,-1).
% 0.69/0.98  assign(sos_limit,10000).
% 0.69/0.98  assign(order,kbo).
% 0.69/0.98  set(lex_order_vars).
% 0.69/0.98  clear(print_given).
% 0.69/0.98  
% 0.69/0.98  % formulas(sos).  % not echoed (5 formulas)
% 0.69/0.98  
% 0.69/0.98  ============================== end of input ==========================
% 0.69/0.98  
% 0.69/0.98  % From the command line: assign(max_seconds, 300).
% 0.69/0.98  
% 0.69/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.69/0.98  
% 0.69/0.98  % Formulas that are not ordinary clauses:
% 0.69/0.98  1 (all X_2 all X_1 (g_true_only(X_2,X_1) <-> g_true(X_2,X_1) & -g_false(X_2,X_1))) # label(true_only_g) # label(axiom) # label(non_clause).  [assumption].
% 0.69/0.98  2 (all X_2 all X_1 (g_both(X_2,X_1) <-> g_true(X_2,X_1) & g_false(X_2,X_1))) # label(both_g) # label(axiom) # label(non_clause).  [assumption].
% 0.69/0.98  3 (all X_2 all X_1 (g_false_only(X_2,X_1) <-> g_false(X_2,X_1) & -g_true(X_2,X_1))) # label(false_only_g) # label(axiom) # label(non_clause).  [assumption].
% 0.69/0.98  4 (all X_2 all X_1 (g_true_only(X_2,X_1) | g_both(X_2,X_1) | g_false_only(X_2,X_1))) # label(exhaustion_g) # label(axiom) # label(non_clause).  [assumption].
% 0.69/0.98  5 -((exists A (g_false_only(a,A) & (exists B g_false_only(A,B)))) | (exists A all B g_true_only(A,B)) | (exists A ((g_both(a,A) | (exists B g_both(A,B)) & -(exists B g_false_only(A,B))) & -g_true_only(a,A) & -(all B g_true_only(A,B)))) & -(exists A (g_false_only(a,A) & (exists B g_false_only(A,B)))) & (exists A ((exists B g_both(A,B)) & -(exists B g_false_only(A,B)))) & -(exists A all B g_true_only(A,B))) # label(nc6) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.69/0.98  
% 0.69/0.98  ============================== end of process non-clausal formulas ===
% 0.69/0.98  
% 0.69/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.69/0.98  
% 0.69/0.98  ============================== PREDICATE ELIMINATION =================
% 0.69/0.98  6 -g_both(A,B) | g_false(A,B) # label(both_g) # label(axiom).  [clausify(2)].
% 0.69/0.98  7 -g_true_only(A,B) | -g_false(A,B) # label(true_only_g) # label(axiom).  [clausify(1)].
% 0.69/0.98  Derived: -g_both(A,B) | -g_true_only(A,B).  [resolve(6,b,7,b)].
% 0.69/0.98  8 -g_false_only(A,B) | g_false(A,B) # label(false_only_g) # label(axiom).  [clausify(3)].
% 0.69/0.98  Derived: -g_false_only(A,B) | -g_true_only(A,B).  [resolve(8,b,7,b)].
% 0.69/0.98  9 g_true_only(A,B) | -g_true(A,B) | g_false(A,B) # label(true_only_g) # label(axiom).  [clausify(1)].
% 0.69/0.98  10 g_both(A,B) | -g_true(A,B) | -g_false(A,B) # label(both_g) # label(axiom).  [clausify(2)].
% 0.69/0.98  Derived: g_both(A,B) | -g_true(A,B) | -g_false_only(A,B).  [resolve(10,c,8,b)].
% 0.81/1.08  Derived: g_both(A,B) | -g_true(A,B) | g_true_only(A,B) | -g_true(A,B).  [resolve(10,c,9,c)].
% 0.81/1.08  11 g_false_only(A,B) | -g_false(A,B) | g_true(A,B) # label(false_only_g) # label(axiom).  [clausify(3)].
% 0.81/1.08  Derived: g_false_only(A,B) | g_true(A,B) | -g_both(A,B).  [resolve(11,b,6,b)].
% 0.81/1.08  
% 0.81/1.08  ============================== end predicate elimination =============
% 0.81/1.08  
% 0.81/1.08  Auto_denials:  (non-Horn, no changes).
% 0.81/1.08  
% 0.81/1.08  Term ordering decisions:
% 0.81/1.08  Function symbol KB weights:  a=1. c1=1. c2=1. c3=1. f1=1. f2=1. f3=1.
% 0.81/1.08  
% 0.81/1.08  ============================== end of process initial clauses ========
% 0.81/1.08  
% 0.81/1.08  ============================== CLAUSES FOR SEARCH ====================
% 0.81/1.08  
% 0.81/1.08  ============================== end of clauses for search =============
% 0.81/1.08  
% 0.81/1.08  ============================== SEARCH ================================
% 0.81/1.08  
% 0.81/1.08  % Starting search at 0.01 seconds.
% 0.81/1.08  
% 0.81/1.08  ============================== PROOF =================================
% 0.81/1.08  % SZS status Theorem
% 0.81/1.08  % SZS output start Refutation
% 0.81/1.08  
% 0.81/1.08  % Proof 1 at 0.11 (+ 0.01) seconds.
% 0.81/1.08  % Length of proof is 67.
% 0.81/1.08  % Level of proof is 33.
% 0.81/1.08  % Maximum clause weight is 26.000.
% 0.81/1.08  % Given clauses 213.
% 0.81/1.08  
% 0.81/1.08  1 (all X_2 all X_1 (g_true_only(X_2,X_1) <-> g_true(X_2,X_1) & -g_false(X_2,X_1))) # label(true_only_g) # label(axiom) # label(non_clause).  [assumption].
% 0.81/1.08  2 (all X_2 all X_1 (g_both(X_2,X_1) <-> g_true(X_2,X_1) & g_false(X_2,X_1))) # label(both_g) # label(axiom) # label(non_clause).  [assumption].
% 0.81/1.08  3 (all X_2 all X_1 (g_false_only(X_2,X_1) <-> g_false(X_2,X_1) & -g_true(X_2,X_1))) # label(false_only_g) # label(axiom) # label(non_clause).  [assumption].
% 0.81/1.08  4 (all X_2 all X_1 (g_true_only(X_2,X_1) | g_both(X_2,X_1) | g_false_only(X_2,X_1))) # label(exhaustion_g) # label(axiom) # label(non_clause).  [assumption].
% 0.81/1.08  5 -((exists A (g_false_only(a,A) & (exists B g_false_only(A,B)))) | (exists A all B g_true_only(A,B)) | (exists A ((g_both(a,A) | (exists B g_both(A,B)) & -(exists B g_false_only(A,B))) & -g_true_only(a,A) & -(all B g_true_only(A,B)))) & -(exists A (g_false_only(a,A) & (exists B g_false_only(A,B)))) & (exists A ((exists B g_both(A,B)) & -(exists B g_false_only(A,B)))) & -(exists A all B g_true_only(A,B))) # label(nc6) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.81/1.08  7 -g_true_only(A,B) | -g_false(A,B) # label(true_only_g) # label(axiom).  [clausify(1)].
% 0.81/1.08  8 -g_false_only(A,B) | g_false(A,B) # label(false_only_g) # label(axiom).  [clausify(3)].
% 0.81/1.08  12 g_true_only(A,B) | g_both(A,B) | g_false_only(A,B) # label(exhaustion_g) # label(axiom).  [clausify(4)].
% 0.81/1.08  13 -g_true_only(A,f1(A)) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  14 -g_false_only(A,B) | -g_true(A,B) # label(false_only_g) # label(axiom).  [clausify(3)].
% 0.81/1.08  15 -g_false_only(a,A) | -g_false_only(A,B) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  17 -g_both(A,B) | g_true(A,B) # label(both_g) # label(axiom).  [clausify(2)].
% 0.81/1.08  18 -g_both(a,A) | g_true_only(a,A) | g_true_only(A,B) | g_false_only(a,c1) | -g_both(C,D) | g_false_only(C,f3(C)) | g_true_only(c3,E) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  19 -g_both(a,A) | g_true_only(a,A) | g_true_only(A,B) | g_false_only(c1,c2) | -g_both(C,D) | g_false_only(C,f3(C)) | g_true_only(c3,E) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  20 -g_both(A,B) | g_false_only(A,f2(A)) | g_true_only(a,A) | g_true_only(A,C) | g_false_only(a,c1) | -g_both(D,E) | g_false_only(D,f3(D)) | g_true_only(c3,F) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  21 -g_both(A,B) | g_false_only(A,f2(A)) | g_true_only(a,A) | g_true_only(A,C) | g_false_only(c1,c2) | -g_both(D,E) | g_false_only(D,f3(D)) | g_true_only(c3,F) # label(nc6) # label(negated_conjecture).  [clausify(5)].
% 0.81/1.08  23 -g_false_only(A,B) | -g_true_only(A,B).  [resolve(8,b,7,b)].
% 0.81/1.08  27 -g_both(a,A) | g_true_only(a,A) | g_true_only(A,B) | g_false_only(a,c1) | g_false_only(a,f3(a)) | g_true_only(c3,C).  [factor(18,a,e)].
% 0.81/1.08  30 -g_both(a,A) | g_true_only(a,A) | g_true_only(A,B) | g_false_only(c1,c2) | g_false_only(a,f3(a)) | g_true_only(c3,C).  [factor(19,a,e)].
% 0.81/1.08  33 -g_both(A,B) | g_false_only(A,f2(A)) | g_true_only(a,A) | g_true_only(A,C) | g_false_only(a,c1) | g_false_only(A,f3(A)) | g_true_only(c3,D).  [factor(20,a,f)].
% 0.81/1.08  36 -g_both(A,B) | g_false_only(A,f2(A)) | g_true_only(a,A) | g_true_only(A,C) | g_false_only(c1,c2) | g_false_only(A,f3(A)) | g_true_only(c3,D).  [factor(21,a,f)].
% 0.81/1.08  47 -g_false_only(A,B) | g_true_only(a,A) | g_both(a,A).  [resolve(15,a,12,c)].
% 0.81/1.08  50 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_both(A,B).  [resolve(47,a,12,c)].
% 0.81/1.08  75 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_true_only(A,C) | g_false_only(c1,c2) | g_false_only(A,f3(A)) | g_true_only(c3,D).  [resolve(50,d,36,a),merge(e)].
% 0.81/1.08  78 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_true_only(A,C) | g_false_only(a,c1) | g_false_only(A,f3(A)) | g_true_only(c3,D).  [resolve(50,d,33,a),merge(e)].
% 0.81/1.08  99 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_false_only(c1,c2) | g_false_only(A,f3(A)) | g_true_only(c3,C).  [factor(75,c,e)].
% 0.81/1.08  101 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_false_only(a,c1) | g_false_only(A,f3(A)) | g_true_only(c3,C).  [factor(78,c,e)].
% 0.81/1.08  308 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_false_only(c1,c2) | g_true_only(c3,C).  [resolve(99,f,47,a),merge(g),merge(h)].
% 0.81/1.08  332 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(A,f2(A)) | g_false_only(a,c1) | g_true_only(c3,C).  [resolve(101,f,47,a),merge(g),merge(h)].
% 0.81/1.08  403 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(c1,c2) | g_true_only(c3,C).  [resolve(308,d,47,a),merge(f),merge(g)].
% 0.81/1.08  406 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_true_only(c3,C) | -g_false_only(a,c1).  [resolve(403,d,15,b)].
% 0.81/1.08  486 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_false_only(a,c1) | g_true_only(c3,C).  [resolve(332,d,47,a),merge(f),merge(g)].
% 0.81/1.08  488 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true_only(a,D) | g_both(a,D) | g_true_only(D,E) | g_true_only(c3,F).  [resolve(486,d,406,e)].
% 0.81/1.08  494 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true_only(c3,D).  [factor(488,c,g),merge(e),merge(f)].
% 0.81/1.08  497 g_true_only(a,A) | g_both(a,A) | g_true_only(A,B) | g_true_only(c3,C).  [factor(494,d,e)].
% 0.81/1.08  519 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true_only(A,D) | g_false_only(c1,c2) | g_false_only(a,f3(a)) | g_true_only(c3,E).  [resolve(497,b,30,a),merge(d)].
% 0.81/1.08  520 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true_only(A,D) | g_false_only(a,c1) | g_false_only(a,f3(a)) | g_true_only(c3,E).  [resolve(497,b,27,a),merge(d)].
% 0.81/1.08  523 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true(a,A).  [resolve(497,b,17,a)].
% 0.81/1.08  532 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(c1,c2) | g_false_only(a,f3(a)) | g_true_only(c3,D).  [factor(519,b,d)].
% 0.81/1.08  534 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(a,c1) | g_false_only(a,f3(a)) | g_true_only(c3,D).  [factor(520,b,d)].
% 0.81/1.08  548 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(c1,c2) | g_false_only(a,f3(a)).  [factor(532,c,f)].
% 0.81/1.08  549 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(a,c1) | g_false_only(a,f3(a)).  [factor(534,c,f)].
% 0.81/1.08  554 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | -g_false_only(a,A).  [resolve(523,d,14,b)].
% 0.81/1.08  560 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(c1,c2) | g_true_only(a,f3(a)) | g_true_only(f3(a),D) | g_true_only(c3,E).  [resolve(548,e,554,d)].
% 0.81/1.08  565 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_false_only(c1,c2) | g_true_only(c3,C).  [factor(560,b,f),merge(e)].
% 0.81/1.08  568 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_false_only(c1,c2).  [factor(565,c,e)].
% 0.81/1.08  575 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | -g_false_only(a,c1).  [resolve(568,d,15,b)].
% 0.81/1.08  576 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(a,c1) | g_true_only(a,f3(a)) | g_true_only(f3(a),D) | g_true_only(c3,E).  [resolve(549,e,554,d)].
% 0.81/1.08  578 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(a,c1) | -g_true_only(a,f3(a)).  [resolve(549,e,23,a)].
% 0.81/1.08  581 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_false_only(a,c1) | g_true_only(c3,C).  [factor(576,b,f),merge(e)].
% 0.81/1.08  584 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_false_only(a,c1).  [factor(581,c,e)].
% 0.81/1.08  585 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_true_only(f3(a),C) | g_true_only(c3,D).  [resolve(584,d,575,d),merge(d)].
% 0.81/1.08  590 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B) | g_true_only(c3,C).  [factor(585,b,d)].
% 0.81/1.08  593 g_true_only(a,f3(a)) | g_true_only(f3(a),A) | g_true_only(c3,B).  [factor(590,c,d)].
% 0.81/1.08  598 g_true_only(a,f3(a)) | g_true_only(c3,A).  [resolve(593,b,13,a)].
% 0.81/1.08  607 g_true_only(a,f3(a)).  [resolve(598,b,13,a)].
% 0.81/1.08  610 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_false_only(a,c1).  [back_unit_del(578),unit_del(e,607)].
% 0.81/1.08  635 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | g_true_only(a,c1) | g_true_only(c1,D) | g_true_only(c3,E).  [resolve(610,d,554,d)].
% 0.81/1.08  638 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C) | -g_true_only(a,c1).  [resolve(610,d,23,a)].
% 0.81/1.08  641 g_true_only(a,c1) | g_true_only(c1,A) | g_true_only(c3,B) | g_true_only(c3,C).  [factor(635,b,e),merge(d)].
% 0.81/1.08  648 g_true_only(a,c1) | g_true_only(c1,A) | g_true_only(c3,B).  [factor(641,c,d)].
% 0.81/1.08  653 g_true_only(a,c1) | g_true_only(c3,A).  [resolve(648,b,13,a)].
% 0.81/1.08  660 g_true_only(a,c1).  [resolve(653,b,13,a)].
% 0.81/1.08  661 g_true_only(a,A) | g_true_only(A,B) | g_true_only(c3,C).  [back_unit_del(638),unit_del(d,660)].
% 0.81/1.08  668 g_true_only(a,A) | g_true_only(c3,B).  [resolve(661,b,13,a)].
% 0.81/1.08  672 g_true_only(c3,A).  [resolve(668,a,13,a)].
% 0.81/1.08  673 $F.  [resolve(672,a,13,a)].
% 0.81/1.08  
% 0.81/1.08  % SZS output end Refutation
% 0.81/1.08  ============================== end of proof ==========================
% 0.81/1.08  
% 0.81/1.08  ============================== STATISTICS ============================
% 0.81/1.08  
% 0.81/1.08  Given=213. Generated=2494. Kept=660. proofs=1.
% 0.81/1.08  Usable=31. Sos=3. Demods=0. Limbo=1, Disabled=645. Hints=0.
% 0.81/1.08  Megabytes=0.50.
% 0.81/1.08  User_CPU=0.11, System_CPU=0.01, Wall_clock=0.
% 0.81/1.08  
% 0.81/1.08  ============================== end of statistics =====================
% 0.81/1.08  
% 0.81/1.08  ============================== end of search =========================
% 0.81/1.08  
% 0.81/1.08  THEOREM PROVED
% 0.81/1.08  % SZS status Theorem
% 0.81/1.08  
% 0.81/1.08  Exiting with 1 proof.
% 0.81/1.08  
% 0.81/1.08  Process 31745 exit (max_proofs) Fri Jul  8 20:07:22 2022
% 0.81/1.08  Prover9 interrupted
%------------------------------------------------------------------------------