TSTP Solution File: GRP127-4.004 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n028.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 : Sat Jul 16 11:17:29 EDT 2022

% Result   : Unsatisfiable 0.44s 1.04s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP127-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n028.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 : Tue Jun 14 11:56:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/1.01  ============================== Prover9 ===============================
% 0.44/1.01  Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.01  Process 5847 was started by sandbox on n028.cluster.edu,
% 0.44/1.01  Tue Jun 14 11:56:39 2022
% 0.44/1.01  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5489_n028.cluster.edu".
% 0.44/1.01  ============================== end of head ===========================
% 0.44/1.01  
% 0.44/1.01  ============================== INPUT =================================
% 0.44/1.01  
% 0.44/1.01  % Reading from file /tmp/Prover9_5489_n028.cluster.edu
% 0.44/1.01  
% 0.44/1.01  set(prolog_style_variables).
% 0.44/1.01  set(auto2).
% 0.44/1.01      % set(auto2) -> set(auto).
% 0.44/1.01      % set(auto) -> set(auto_inference).
% 0.44/1.01      % set(auto) -> set(auto_setup).
% 0.44/1.01      % set(auto_setup) -> set(predicate_elim).
% 0.44/1.01      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.01      % set(auto) -> set(auto_limits).
% 0.44/1.01      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.01      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.01      % set(auto) -> set(auto_denials).
% 0.44/1.01      % set(auto) -> set(auto_process).
% 0.44/1.01      % set(auto2) -> assign(new_constants, 1).
% 0.44/1.01      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.01      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.01      % set(auto2) -> assign(max_hours, 1).
% 0.44/1.01      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.01      % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.01      % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.01      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.01      % set(auto2) -> set(sort_initial_sos).
% 0.44/1.01      % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.01      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.01      % set(auto2) -> assign(max_megs, 400).
% 0.44/1.01      % set(auto2) -> assign(stats, some).
% 0.44/1.01      % set(auto2) -> clear(echo_input).
% 0.44/1.01      % set(auto2) -> set(quiet).
% 0.44/1.01      % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.01      % set(auto2) -> clear(print_given).
% 0.44/1.01  assign(lrs_ticks,-1).
% 0.44/1.01  assign(sos_limit,10000).
% 0.44/1.01  assign(order,kbo).
% 0.44/1.01  set(lex_order_vars).
% 0.44/1.01  clear(print_given).
% 0.44/1.01  
% 0.44/1.01  % formulas(sos).  % not echoed (26 formulas)
% 0.44/1.01  
% 0.44/1.01  ============================== end of input ==========================
% 0.44/1.01  
% 0.44/1.01  % From the command line: assign(max_seconds, 300).
% 0.44/1.01  
% 0.44/1.01  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.01  
% 0.44/1.01  % Formulas that are not ordinary clauses:
% 0.44/1.01  
% 0.44/1.01  ============================== end of process non-clausal formulas ===
% 0.44/1.01  
% 0.44/1.01  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.01  
% 0.44/1.01  ============================== PREDICATE ELIMINATION =================
% 0.44/1.01  1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).  [assumption].
% 0.44/1.01  2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).  [assumption].
% 0.44/1.01  3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).  [assumption].
% 0.44/1.01  4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.01  5 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).  [assumption].
% 0.44/1.01  6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).  [assumption].
% 0.44/1.01  7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.01  8 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).  [assumption].
% 0.44/1.01  9 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).  [assumption].
% 0.44/1.01  10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.01  11 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).  [assumption].
% 0.44/1.01  12 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).  [assumption].
% 0.44/1.01  13 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -product(A,B,e_1) | -product(A,B,e_2).  [resolve(1,c,2,a)].
% 0.44/1.01  Derived: -product(A,B,e_1) | -product(A,B,e_3).  [resolve(1,c,3,a)].
% 0.44/1.01  Derived: -product(A,B,e_1) | -product(A,B,e_4).  [resolve(1,c,4,a)].
% 0.44/1.01  Derived: -product(A,B,e_2) | -product(A,B,e_3).  [resolve(1,c,6,a)].
% 0.44/1.01  Derived: -product(A,B,e_2) | -product(A,B,e_4).  [resolve(1,c,7,a)].
% 0.44/1.01  Derived: -product(A,B,e_3) | -product(A,B,e_4).  [resolve(1,c,10,a)].
% 0.44/1.01  14 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).  [assumption].
% 0.44/1.01  Derived: -product(A,e_1,B) | -product(A,e_2,B).  [resolve(14,c,2,a)].
% 0.44/1.01  Derived: -product(A,e_1,B) | -product(A,e_3,B).  [resolve(14,c,3,a)].
% 0.44/1.01  Derived: -product(A,e_1,B) | -product(A,e_4,B).  [resolve(14,c,4,a)].
% 0.44/1.04  Derived: -product(A,e_2,B) | -product(A,e_3,B).  [resolve(14,c,6,a)].
% 0.44/1.04  Derived: -product(A,e_2,B) | -product(A,e_4,B).  [resolve(14,c,7,a)].
% 0.44/1.04  Derived: -product(A,e_3,B) | -product(A,e_4,B).  [resolve(14,c,10,a)].
% 0.44/1.04  15 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).  [assumption].
% 0.44/1.04  Derived: -product(e_1,A,B) | -product(e_2,A,B).  [resolve(15,c,2,a)].
% 0.44/1.04  Derived: -product(e_1,A,B) | -product(e_3,A,B).  [resolve(15,c,3,a)].
% 0.44/1.04  Derived: -product(e_1,A,B) | -product(e_4,A,B).  [resolve(15,c,4,a)].
% 0.44/1.04  Derived: -product(e_2,A,B) | -product(e_3,A,B).  [resolve(15,c,6,a)].
% 0.44/1.04  Derived: -product(e_2,A,B) | -product(e_4,A,B).  [resolve(15,c,7,a)].
% 0.44/1.04  Derived: -product(e_3,A,B) | -product(e_4,A,B).  [resolve(15,c,10,a)].
% 0.44/1.04  
% 0.44/1.04  ============================== end predicate elimination =============
% 0.44/1.04  
% 0.44/1.04  Auto_denials:  (non-Horn, no changes).
% 0.44/1.04  
% 0.44/1.04  Term ordering decisions:
% 0.44/1.04  Function symbol KB weights:  e_1=1. e_2=1. e_3=1. e_4=1.
% 0.44/1.04  
% 0.44/1.04  ============================== end of process initial clauses ========
% 0.44/1.04  
% 0.44/1.04  ============================== CLAUSES FOR SEARCH ====================
% 0.44/1.04  
% 0.44/1.04  ============================== end of clauses for search =============
% 0.44/1.04  
% 0.44/1.04  ============================== SEARCH ================================
% 0.44/1.04  
% 0.44/1.04  % Starting search at 0.01 seconds.
% 0.44/1.04  
% 0.44/1.04  ============================== PROOF =================================
% 0.44/1.04  % SZS status Unsatisfiable
% 0.44/1.04  % SZS output start Refutation
% 0.44/1.04  
% 0.44/1.04  % Proof 1 at 0.04 (+ 0.00) seconds.
% 0.44/1.04  % Length of proof is 94.
% 0.44/1.04  % Level of proof is 13.
% 0.44/1.04  % Maximum clause weight is 20.000.
% 0.44/1.04  % Given clauses 192.
% 0.44/1.04  
% 0.44/1.04  1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).  [assumption].
% 0.44/1.04  2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).  [assumption].
% 0.44/1.04  3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).  [assumption].
% 0.44/1.04  4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.04  6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).  [assumption].
% 0.44/1.04  7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.04  10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).  [assumption].
% 0.44/1.04  14 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).  [assumption].
% 0.44/1.04  15 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).  [assumption].
% 0.44/1.04  16 group_element(e_1) # label(element_1) # label(axiom).  [assumption].
% 0.44/1.04  17 group_element(e_2) # label(element_2) # label(axiom).  [assumption].
% 0.44/1.04  18 group_element(e_3) # label(element_3) # label(axiom).  [assumption].
% 0.44/1.04  19 group_element(e_4) # label(element_4) # label(axiom).  [assumption].
% 0.44/1.04  20 product(A,A,A) # label(product_idempotence) # label(axiom).  [assumption].
% 0.44/1.04  21 product(A,B,C) | -product(D,A,B) | -product(C,A,D) # label(qg3_1) # label(negated_conjecture).  [assumption].
% 0.44/1.04  24 -group_element(A) | -group_element(B) | product(e_1,A,B) | product(e_2,A,B) | product(e_3,A,B) | product(e_4,A,B) # label(row_surjectivity) # label(axiom).  [assumption].
% 0.44/1.04  25 -group_element(A) | -group_element(B) | product(A,e_1,B) | product(A,e_2,B) | product(A,e_3,B) | product(A,e_4,B) # label(column_surjectivity) # label(axiom).  [assumption].
% 0.44/1.04  27 -product(A,B,e_1) | -product(A,B,e_2).  [resolve(1,c,2,a)].
% 0.44/1.04  28 -product(A,B,e_1) | -product(A,B,e_3).  [resolve(1,c,3,a)].
% 0.44/1.04  29 -product(A,B,e_1) | -product(A,B,e_4).  [resolve(1,c,4,a)].
% 0.44/1.04  30 -product(A,B,e_2) | -product(A,B,e_3).  [resolve(1,c,6,a)].
% 0.44/1.04  31 -product(A,B,e_2) | -product(A,B,e_4).  [resolve(1,c,7,a)].
% 0.44/1.04  32 -product(A,B,e_3) | -product(A,B,e_4).  [resolve(1,c,10,a)].
% 0.44/1.04  33 -product(A,e_1,B) | -product(A,e_2,B).  [resolve(14,c,2,a)].
% 0.44/1.04  34 -product(A,e_1,B) | -product(A,e_3,B).  [resolve(14,c,3,a)].
% 0.44/1.04  35 -product(A,e_1,B) | -product(A,e_4,B).  [resolve(14,c,4,a)].
% 0.44/1.04  36 -product(A,e_2,B) | -product(A,e_3,B).  [resolve(14,c,6,a)].
% 0.44/1.04  37 -product(A,e_2,B) | -product(A,e_4,B).  [resolve(14,c,7,a)].
% 0.44/1.04  38 -product(A,e_3,B) | -product(A,e_4,B).  [resolve(14,c,10,a)].
% 0.44/1.04  40 -product(e_1,A,B) | -product(e_3,A,B).  [resolve(15,c,3,a)].
% 0.44/1.04  41 -product(e_1,A,B) | -product(e_4,A,B).  [resolve(15,c,4,a)].
% 0.44/1.04  44 -product(e_3,A,B) | -product(e_4,A,B).  [resolve(15,c,10,a)].
% 0.44/1.04  53 -group_element(A) | product(e_1,e_4,A) | product(e_2,e_4,A) | product(e_3,e_4,A) | product(e_4,e_4,A).  [resolve(24,a,19,a)].
% 0.44/1.04  54 -group_element(A) | product(e_1,e_3,A) | product(e_2,e_3,A) | product(e_3,e_3,A) | product(e_4,e_3,A).  [resolve(24,a,18,a)].
% 0.44/1.04  55 -group_element(A) | product(e_1,e_2,A) | product(e_2,e_2,A) | product(e_3,e_2,A) | product(e_4,e_2,A).  [resolve(24,a,17,a)].
% 0.44/1.04  56 -group_element(A) | product(e_1,e_1,A) | product(e_2,e_1,A) | product(e_3,e_1,A) | product(e_4,e_1,A).  [resolve(24,a,16,a)].
% 0.44/1.04  61 -group_element(A) | product(e_4,e_1,A) | product(e_4,e_2,A) | product(e_4,e_3,A) | product(e_4,e_4,A).  [resolve(25,a,19,a)].
% 0.44/1.04  62 -group_element(A) | product(e_3,e_1,A) | product(e_3,e_2,A) | product(e_3,e_3,A) | product(e_3,e_4,A).  [resolve(25,a,18,a)].
% 0.44/1.04  78 -product(e_1,e_1,e_2).  [ur(27,a,20,a)].
% 0.44/1.04  80 -product(e_1,e_1,e_3).  [ur(28,a,20,a)].
% 0.44/1.04  81 -product(e_4,e_4,e_1).  [resolve(29,b,20,a)].
% 0.44/1.04  82 -product(e_1,e_1,e_4).  [ur(29,a,20,a)].
% 0.44/1.04  83 -product(e_3,e_3,e_2).  [resolve(30,b,20,a)].
% 0.44/1.04  85 -product(e_4,e_4,e_2).  [resolve(31,b,20,a)].
% 0.44/1.04  86 -product(e_2,e_2,e_4).  [ur(31,a,20,a)].
% 0.44/1.04  87 -product(e_4,e_4,e_3).  [resolve(32,b,20,a)].
% 0.44/1.04  88 -product(e_3,e_3,e_4).  [ur(32,a,20,a)].
% 0.44/1.04  89 -product(e_2,e_1,e_2).  [resolve(33,b,20,a)].
% 0.44/1.04  91 -product(e_3,e_1,e_3).  [resolve(34,b,20,a)].
% 0.44/1.04  93 -product(e_4,e_1,e_4).  [resolve(35,b,20,a)].
% 0.44/1.04  96 -product(e_2,e_3,e_2).  [ur(36,a,20,a)].
% 0.44/1.04  97 -product(e_4,e_2,e_4).  [resolve(37,b,20,a)].
% 0.44/1.04  98 -product(e_2,e_4,e_2).  [ur(37,a,20,a)].
% 0.44/1.04  99 -product(e_4,e_3,e_4).  [resolve(38,b,20,a)].
% 0.44/1.04  106 -product(e_4,e_1,e_1).  [ur(41,a,20,a)].
% 0.44/1.04  111 -product(e_3,e_4,e_4).  [resolve(44,b,20,a)].
% 0.44/1.04  112 -product(e_4,e_3,e_3).  [ur(44,a,20,a)].
% 0.44/1.04  114 product(e_1,e_4,e_2) | product(e_3,e_4,e_2).  [resolve(53,a,17,a),unit_del(b,98),unit_del(d,85)].
% 0.44/1.04  116 product(e_1,e_3,e_4) | product(e_2,e_3,e_4).  [resolve(54,a,19,a),unit_del(c,88),unit_del(d,99)].
% 0.44/1.04  117 product(e_1,e_3,e_2) | product(e_4,e_3,e_2).  [resolve(54,a,17,a),unit_del(b,96),unit_del(c,83)].
% 0.44/1.04  127 product(e_1,e_4,e_2) | -product(e_3,e_1,e_2).  [resolve(114,b,35,b)].
% 0.44/1.04  142 product(e_1,e_3,e_4) | -product(e_2,e_1,e_4).  [resolve(116,b,34,b)].
% 0.44/1.04  150 product(e_1,e_2,e_4) | product(e_3,e_2,e_4).  [resolve(55,a,19,a),unit_del(b,86),unit_del(d,97)].
% 0.44/1.04  153 product(e_1,e_3,e_2) | -product(e_4,e_1,e_2).  [resolve(117,b,34,b)].
% 0.44/1.04  154 product(e_1,e_3,e_2) | -product(e_4,e_3,e_1).  [resolve(117,b,27,b)].
% 0.44/1.04  168 product(e_2,e_1,e_4) | product(e_3,e_1,e_4).  [resolve(56,a,19,a),unit_del(a,82),unit_del(d,93)].
% 0.44/1.04  169 product(e_2,e_1,e_3) | product(e_4,e_1,e_3).  [resolve(56,a,18,a),unit_del(a,80),unit_del(c,91)].
% 0.44/1.04  170 product(e_3,e_1,e_2) | product(e_4,e_1,e_2).  [resolve(56,a,17,a),unit_del(a,78),unit_del(b,89)].
% 0.44/1.04  172 product(e_1,e_2,e_4) | -product(e_3,e_1,e_4).  [resolve(150,b,33,b)].
% 0.44/1.04  196 product(e_2,e_1,e_4) | -product(e_3,e_1,e_2).  [resolve(168,b,31,b)].
% 0.44/1.04  203 product(e_2,e_1,e_3) | -product(e_4,e_1,e_2).  [resolve(169,b,30,b)].
% 0.44/1.04  210 product(e_3,e_1,e_2) | product(e_1,e_3,e_2).  [resolve(170,b,153,b)].
% 0.44/1.04  225 product(e_1,e_2,e_4) | product(e_2,e_1,e_4).  [resolve(172,b,168,b)].
% 0.44/1.04  235 product(e_4,e_1,e_3) | product(e_4,e_2,e_3).  [resolve(61,a,18,a),unit_del(c,112),unit_del(d,87)].
% 0.44/1.04  237 product(e_4,e_2,e_1) | product(e_4,e_3,e_1).  [resolve(61,a,16,a),unit_del(a,106),unit_del(d,81)].
% 0.44/1.04  246 product(e_2,e_1,e_3) | product(e_3,e_1,e_2).  [resolve(203,b,170,b)].
% 0.44/1.04  247 product(e_1,e_3,e_2) | product(e_2,e_1,e_4).  [resolve(210,a,196,b)].
% 0.44/1.04  255 product(e_3,e_1,e_4) | product(e_3,e_2,e_4).  [resolve(62,a,19,a),unit_del(c,88),unit_del(d,111)].
% 0.44/1.04  265 product(e_1,e_2,e_4) | product(e_1,e_3,e_4).  [resolve(225,b,142,b)].
% 0.44/1.04  298 product(e_4,e_1,e_3) | -product(e_4,e_2,e_1).  [resolve(235,b,28,b)].
% 0.44/1.04  313 product(e_4,e_2,e_1) | product(e_1,e_3,e_2).  [resolve(237,b,154,b)].
% 0.44/1.04  337 product(e_2,e_1,e_3) | product(e_1,e_4,e_2).  [resolve(246,b,127,b)].
% 0.44/1.04  349 product(e_1,e_3,e_2) | product(e_1,A,e_2) | -product(e_4,e_1,A).  [resolve(247,b,21,c)].
% 0.44/1.04  351 product(e_1,e_3,e_2) | -product(e_4,e_1,e_3).  [factor(349,a,b)].
% 0.44/1.04  358 product(e_3,e_1,e_4) | -product(e_1,e_2,e_4).  [resolve(255,b,40,b)].
% 0.44/1.04  382 product(e_1,e_2,e_4) | -product(e_1,e_3,e_2).  [resolve(265,b,31,b)].
% 0.44/1.04  433 product(e_1,e_3,e_2) | product(e_4,e_1,e_3).  [resolve(313,a,298,b)].
% 0.44/1.04  473 product(e_1,e_4,e_2) | product(e_1,A,e_2) | -product(e_3,e_1,A).  [resolve(337,a,21,c)].
% 0.44/1.04  475 product(e_1,e_4,e_2) | -product(e_3,e_1,e_4).  [factor(473,a,b)].
% 0.44/1.04  549 product(e_1,e_3,e_2).  [resolve(433,b,351,b),merge(b)].
% 0.44/1.04  551 product(e_1,e_2,e_4).  [back_unit_del(382),unit_del(b,549)].
% 0.44/1.04  553 product(e_3,e_1,e_4).  [back_unit_del(358),unit_del(b,551)].
% 0.44/1.04  556 product(e_1,e_4,e_2).  [back_unit_del(475),unit_del(b,553)].
% 0.44/1.04  573 $F.  [ur(38,a,549,a),unit_del(a,556)].
% 0.44/1.04  
% 0.44/1.04  % SZS output end Refutation
% 0.44/1.04  ============================== end of proof ==========================
% 0.44/1.04  
% 0.44/1.04  ============================== STATISTICS ============================
% 0.44/1.04  
% 0.44/1.04  Given=192. Generated=1059. Kept=557. proofs=1.
% 0.44/1.04  Usable=98. Sos=17. Demods=0. Limbo=7, Disabled=479. Hints=0.
% 0.44/1.04  Megabytes=0.32.
% 0.44/1.04  User_CPU=0.04, System_CPU=0.00, Wall_clock=0.
% 0.44/1.04  
% 0.44/1.04  ============================== end of statistics =====================
% 0.44/1.04  
% 0.44/1.04  ============================== end of search =========================
% 0.44/1.04  
% 0.44/1.04  THEOREM PROVED
% 0.44/1.04  % SZS status Unsatisfiable
% 0.44/1.04  
% 0.44/1.04  Exiting with 1 proof.
% 0.44/1.04  
% 0.44/1.04  Process 5847 exit (max_proofs) Tue Jun 14 11:56:39 2022
% 0.44/1.04  Prover9 interrupted
%------------------------------------------------------------------------------