TSTP Solution File: GRP124-4.004 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Sat Jul 16 11:17:20 EDT 2022

% Result   : Unsatisfiable 0.71s 1.06s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP124-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.32  % Computer : n010.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Tue Jun 14 07:23:24 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.67/0.97  ============================== Prover9 ===============================
% 0.67/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.97  Process 26726 was started by sandbox on n010.cluster.edu,
% 0.67/0.97  Tue Jun 14 07:23:25 2022
% 0.67/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26381_n010.cluster.edu".
% 0.67/0.97  ============================== end of head ===========================
% 0.67/0.97  
% 0.67/0.97  ============================== INPUT =================================
% 0.67/0.97  
% 0.67/0.97  % Reading from file /tmp/Prover9_26381_n010.cluster.edu
% 0.67/0.97  
% 0.67/0.97  set(prolog_style_variables).
% 0.67/0.97  set(auto2).
% 0.67/0.97      % set(auto2) -> set(auto).
% 0.67/0.97      % set(auto) -> set(auto_inference).
% 0.67/0.97      % set(auto) -> set(auto_setup).
% 0.67/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.67/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.97      % set(auto) -> set(auto_limits).
% 0.67/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.97      % set(auto) -> set(auto_denials).
% 0.67/0.97      % set(auto) -> set(auto_process).
% 0.67/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.67/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.67/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.67/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.67/0.97      % set(auto2) -> assign(stats, some).
% 0.67/0.97      % set(auto2) -> clear(echo_input).
% 0.67/0.97      % set(auto2) -> set(quiet).
% 0.67/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.97      % set(auto2) -> clear(print_given).
% 0.67/0.97  assign(lrs_ticks,-1).
% 0.67/0.97  assign(sos_limit,10000).
% 0.67/0.97  assign(order,kbo).
% 0.67/0.97  set(lex_order_vars).
% 0.67/0.97  clear(print_given).
% 0.67/0.97  
% 0.67/0.97  % formulas(sos).  % not echoed (25 formulas)
% 0.67/0.97  
% 0.67/0.97  ============================== end of input ==========================
% 0.67/0.97  
% 0.67/0.97  % From the command line: assign(max_seconds, 300).
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.97  
% 0.67/0.97  % Formulas that are not ordinary clauses:
% 0.67/0.97  
% 0.67/0.97  ============================== end of process non-clausal formulas ===
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.97  
% 0.67/0.97  ============================== PREDICATE ELIMINATION =================
% 0.67/0.97  1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).  [assumption].
% 0.67/0.97  2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).  [assumption].
% 0.67/0.97  3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).  [assumption].
% 0.67/0.97  4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).  [assumption].
% 0.67/0.97  5 -equalish(e_2,e_1) # label(e_2_is_not_e_1) # label(axiom).  [assumption].
% 0.67/0.97  6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).  [assumption].
% 0.67/0.97  7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).  [assumption].
% 0.67/0.97  8 -equalish(e_3,e_1) # label(e_3_is_not_e_1) # label(axiom).  [assumption].
% 0.67/0.97  9 -equalish(e_3,e_2) # label(e_3_is_not_e_2) # label(axiom).  [assumption].
% 0.67/0.97  10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).  [assumption].
% 0.67/0.97  11 -equalish(e_4,e_1) # label(e_4_is_not_e_1) # label(axiom).  [assumption].
% 0.67/0.97  12 -equalish(e_4,e_2) # label(e_4_is_not_e_2) # label(axiom).  [assumption].
% 0.67/0.97  13 -equalish(e_4,e_3) # label(e_4_is_not_e_3) # label(axiom).  [assumption].
% 0.67/0.97  Derived: -product(A,B,e_1) | -product(A,B,e_2).  [resolve(1,c,2,a)].
% 0.67/0.97  Derived: -product(A,B,e_1) | -product(A,B,e_3).  [resolve(1,c,3,a)].
% 0.67/0.97  Derived: -product(A,B,e_1) | -product(A,B,e_4).  [resolve(1,c,4,a)].
% 0.67/0.97  Derived: -product(A,B,e_2) | -product(A,B,e_3).  [resolve(1,c,6,a)].
% 0.67/0.97  Derived: -product(A,B,e_2) | -product(A,B,e_4).  [resolve(1,c,7,a)].
% 0.67/0.97  Derived: -product(A,B,e_3) | -product(A,B,e_4).  [resolve(1,c,10,a)].
% 0.67/0.97  14 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).  [assumption].
% 0.67/0.97  Derived: -product(A,e_1,B) | -product(A,e_2,B).  [resolve(14,c,2,a)].
% 0.67/0.97  Derived: -product(A,e_1,B) | -product(A,e_3,B).  [resolve(14,c,3,a)].
% 0.67/0.97  Derived: -product(A,e_1,B) | -product(A,e_4,B).  [resolve(14,c,4,a)].
% 0.71/1.06  Derived: -product(A,e_2,B) | -product(A,e_3,B).  [resolve(14,c,6,a)].
% 0.71/1.06  Derived: -product(A,e_2,B) | -product(A,e_4,B).  [resolve(14,c,7,a)].
% 0.71/1.06  Derived: -product(A,e_3,B) | -product(A,e_4,B).  [resolve(14,c,10,a)].
% 0.71/1.06  15 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).  [assumption].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_2,A,B).  [resolve(15,c,2,a)].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_3,A,B).  [resolve(15,c,3,a)].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_4,A,B).  [resolve(15,c,4,a)].
% 0.71/1.06  Derived: -product(e_2,A,B) | -product(e_3,A,B).  [resolve(15,c,6,a)].
% 0.71/1.06  Derived: -product(e_2,A,B) | -product(e_4,A,B).  [resolve(15,c,7,a)].
% 0.71/1.06  Derived: -product(e_3,A,B) | -product(e_4,A,B).  [resolve(15,c,10,a)].
% 0.71/1.06  16 -product(A,B,C) | -product(D,E,C) | -product(F,A,B) | -product(F,D,E) | equalish(A,D) # label(qg2_1) # label(negated_conjecture).  [assumption].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_2,C,B) | -product(D,e_1,A) | -product(D,e_2,C).  [resolve(16,e,2,a)].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_3,C,B) | -product(D,e_1,A) | -product(D,e_3,C).  [resolve(16,e,3,a)].
% 0.71/1.06  Derived: -product(e_1,A,B) | -product(e_4,C,B) | -product(D,e_1,A) | -product(D,e_4,C).  [resolve(16,e,4,a)].
% 0.71/1.06  Derived: -product(e_2,A,B) | -product(e_3,C,B) | -product(D,e_2,A) | -product(D,e_3,C).  [resolve(16,e,6,a)].
% 0.71/1.06  Derived: -product(e_2,A,B) | -product(e_4,C,B) | -product(D,e_2,A) | -product(D,e_4,C).  [resolve(16,e,7,a)].
% 0.71/1.06  Derived: -product(e_3,A,B) | -product(e_4,C,B) | -product(D,e_3,A) | -product(D,e_4,C).  [resolve(16,e,10,a)].
% 0.71/1.06  17 -product(A,B,C) | -product(D,E,C) | -product(F,A,B) | -product(F,D,E) | equalish(B,E) # label(qg2_2) # label(negated_conjecture).  [assumption].
% 0.71/1.06  Derived: -product(A,e_1,B) | -product(C,e_2,B) | -product(D,A,e_1) | -product(D,C,e_2).  [resolve(17,e,2,a)].
% 0.71/1.06  Derived: -product(A,e_1,B) | -product(C,e_3,B) | -product(D,A,e_1) | -product(D,C,e_3).  [resolve(17,e,3,a)].
% 0.71/1.06  Derived: -product(A,e_1,B) | -product(C,e_4,B) | -product(D,A,e_1) | -product(D,C,e_4).  [resolve(17,e,4,a)].
% 0.71/1.06  Derived: -product(A,e_2,B) | -product(C,e_3,B) | -product(D,A,e_2) | -product(D,C,e_3).  [resolve(17,e,6,a)].
% 0.71/1.06  Derived: -product(A,e_2,B) | -product(C,e_4,B) | -product(D,A,e_2) | -product(D,C,e_4).  [resolve(17,e,7,a)].
% 0.71/1.06  Derived: -product(A,e_3,B) | -product(C,e_4,B) | -product(D,A,e_3) | -product(D,C,e_4).  [resolve(17,e,10,a)].
% 0.71/1.06  
% 0.71/1.06  ============================== end predicate elimination =============
% 0.71/1.06  
% 0.71/1.06  Auto_denials:  (non-Horn, no changes).
% 0.71/1.06  
% 0.71/1.06  Term ordering decisions:
% 0.71/1.06  Function symbol KB weights:  e_1=1. e_2=1. e_3=1. e_4=1.
% 0.71/1.06  
% 0.71/1.06  ============================== end of process initial clauses ========
% 0.71/1.06  
% 0.71/1.06  ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.06  
% 0.71/1.06  ============================== end of clauses for search =============
% 0.71/1.06  
% 0.71/1.06  ============================== SEARCH ================================
% 0.71/1.06  
% 0.71/1.06  % Starting search at 0.01 seconds.
% 0.71/1.06  
% 0.71/1.06  ============================== PROOF =================================
% 0.71/1.06  % SZS status Unsatisfiable
% 0.71/1.06  % SZS output start Refutation
% 0.71/1.06  
% 0.71/1.06  % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.71/1.06  % Length of proof is 70.
% 0.71/1.06  % Level of proof is 10.
% 0.71/1.06  % Maximum clause weight is 20.000.
% 0.71/1.06  % Given clauses 266.
% 0.71/1.06  
% 0.71/1.06  1 -product(A,B,C) | -product(A,B,D) | equalish(C,D) # label(product_total_function2) # label(axiom).  [assumption].
% 0.71/1.06  2 -equalish(e_1,e_2) # label(e_1_is_not_e_2) # label(axiom).  [assumption].
% 0.71/1.06  3 -equalish(e_1,e_3) # label(e_1_is_not_e_3) # label(axiom).  [assumption].
% 0.71/1.06  4 -equalish(e_1,e_4) # label(e_1_is_not_e_4) # label(axiom).  [assumption].
% 0.71/1.06  6 -equalish(e_2,e_3) # label(e_2_is_not_e_3) # label(axiom).  [assumption].
% 0.71/1.06  7 -equalish(e_2,e_4) # label(e_2_is_not_e_4) # label(axiom).  [assumption].
% 0.71/1.06  10 -equalish(e_3,e_4) # label(e_3_is_not_e_4) # label(axiom).  [assumption].
% 0.71/1.06  14 -product(A,B,C) | -product(A,D,C) | equalish(B,D) # label(product_right_cancellation) # label(axiom).  [assumption].
% 0.71/1.06  15 -product(A,B,C) | -product(D,B,C) | equalish(A,D) # label(product_left_cancellation) # label(axiom).  [assumption].
% 0.71/1.06  16 -product(A,B,C) | -product(D,E,C) | -product(F,A,B) | -product(F,D,E) | equalish(A,D) # label(qg2_1) # label(negated_conjecture).  [assumption].
% 0.71/1.06  17 -product(A,B,C) | -product(D,E,C) | -product(F,A,B) | -product(F,D,E) | equalish(B,E) # label(qg2_2) # label(negated_conjecture).  [assumption].
% 0.71/1.06  18 group_element(e_1) # label(element_1) # label(axiom).  [assumption].
% 0.71/1.06  19 group_element(e_2) # label(element_2) # label(axiom).  [assumption].
% 0.71/1.06  20 group_element(e_3) # label(element_3) # label(axiom).  [assumption].
% 0.71/1.06  21 group_element(e_4) # label(element_4) # label(axiom).  [assumption].
% 0.71/1.06  22 product(A,A,A) # label(product_idempotence) # label(axiom).  [assumption].
% 0.71/1.06  23 -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].
% 0.71/1.06  24 -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].
% 0.71/1.06  26 -product(A,B,e_1) | -product(A,B,e_2).  [resolve(1,c,2,a)].
% 0.71/1.06  27 -product(A,B,e_1) | -product(A,B,e_3).  [resolve(1,c,3,a)].
% 0.71/1.06  28 -product(A,B,e_1) | -product(A,B,e_4).  [resolve(1,c,4,a)].
% 0.71/1.06  29 -product(A,B,e_2) | -product(A,B,e_3).  [resolve(1,c,6,a)].
% 0.71/1.06  30 -product(A,B,e_2) | -product(A,B,e_4).  [resolve(1,c,7,a)].
% 0.71/1.06  31 -product(A,B,e_3) | -product(A,B,e_4).  [resolve(1,c,10,a)].
% 0.71/1.06  33 -product(A,e_1,B) | -product(A,e_3,B).  [resolve(14,c,3,a)].
% 0.71/1.06  34 -product(A,e_1,B) | -product(A,e_4,B).  [resolve(14,c,4,a)].
% 0.71/1.06  35 -product(A,e_2,B) | -product(A,e_3,B).  [resolve(14,c,6,a)].
% 0.71/1.06  37 -product(A,e_3,B) | -product(A,e_4,B).  [resolve(14,c,10,a)].
% 0.71/1.06  38 -product(e_1,A,B) | -product(e_2,A,B).  [resolve(15,c,2,a)].
% 0.71/1.06  40 -product(e_1,A,B) | -product(e_4,A,B).  [resolve(15,c,4,a)].
% 0.71/1.06  44 -product(e_1,A,B) | -product(e_2,C,B) | -product(D,e_1,A) | -product(D,e_2,C).  [resolve(16,e,2,a)].
% 0.71/1.06  51 -product(A,e_1,B) | -product(C,e_3,B) | -product(D,A,e_1) | -product(D,C,e_3).  [resolve(17,e,3,a)].
% 0.71/1.06  53 -product(A,e_2,B) | -product(C,e_3,B) | -product(D,A,e_2) | -product(D,C,e_3).  [resolve(17,e,6,a)].
% 0.71/1.06  90 -product(A,e_1,e_3) | -product(e_3,A,e_1).  [factor(51,b,d),unit_del(b,22)].
% 0.71/1.06  95 -product(A,e_3,e_2) | -product(e_2,A,e_3).  [factor(53,a,c),unit_del(a,22)].
% 0.71/1.06  107 -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(23,a,21,a)].
% 0.71/1.06  108 -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(23,a,20,a)].
% 0.71/1.06  110 -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(23,a,18,a)].
% 0.71/1.06  118 -group_element(A) | product(e_1,e_1,A) | product(e_1,e_2,A) | product(e_1,e_3,A) | product(e_1,e_4,A).  [resolve(24,a,18,a)].
% 0.71/1.06  132 -product(e_1,e_1,e_2).  [ur(26,a,22,a)].
% 0.71/1.06  134 -product(e_1,e_1,e_3).  [ur(27,a,22,a)].
% 0.71/1.06  135 -product(e_4,e_4,e_1).  [resolve(28,b,22,a)].
% 0.71/1.06  136 -product(e_1,e_1,e_4).  [ur(28,a,22,a)].
% 0.71/1.06  137 -product(e_3,e_3,e_2).  [resolve(29,b,22,a)].
% 0.71/1.06  141 -product(e_4,e_4,e_3).  [resolve(31,b,22,a)].
% 0.71/1.06  145 -product(e_3,e_1,e_3).  [resolve(33,b,22,a)].
% 0.71/1.06  148 -product(e_1,e_4,e_1).  [ur(34,a,22,a)].
% 0.71/1.06  150 -product(e_2,e_3,e_2).  [ur(35,a,22,a)].
% 0.71/1.06  154 -product(e_3,e_4,e_3).  [ur(37,a,22,a)].
% 0.71/1.06  155 -product(e_1,e_2,e_2).  [resolve(38,b,22,a)].
% 0.71/1.06  159 -product(e_1,e_4,e_4).  [resolve(40,b,22,a)].
% 0.71/1.06  169 -product(e_1,e_1,A) | -product(e_2,B,A) | -product(e_1,e_2,B).  [resolve(44,c,22,a)].
% 0.71/1.06  205 -product(e_2,e_2,A) | -product(B,e_3,A) | -product(e_2,B,e_3).  [resolve(53,c,22,a)].
% 0.71/1.06  215 product(e_1,e_4,e_3) | product(e_2,e_4,e_3).  [resolve(107,a,20,a),unit_del(c,154),unit_del(d,141)].
% 0.71/1.06  217 product(e_2,e_4,e_1) | product(e_3,e_4,e_1).  [resolve(107,a,18,a),unit_del(a,148),unit_del(d,135)].
% 0.71/1.06  219 product(e_1,e_4,e_3) | -product(e_4,e_3,e_2).  [resolve(215,b,95,b)].
% 0.71/1.06  251 product(e_2,e_4,e_1) | -product(e_4,e_1,e_3).  [resolve(217,b,90,b)].
% 0.71/1.06  266 product(e_1,e_3,e_2) | product(e_4,e_3,e_2).  [resolve(108,a,19,a),unit_del(b,150),unit_del(c,137)].
% 0.71/1.06  273 product(e_2,e_1,e_3) | product(e_4,e_1,e_3).  [resolve(110,a,20,a),unit_del(a,134),unit_del(c,145)].
% 0.71/1.06  292 product(e_1,e_3,e_2) | product(e_1,e_4,e_3).  [resolve(266,b,219,b)].
% 0.71/1.06  403 product(e_2,e_1,e_3) | product(e_2,e_4,e_1).  [resolve(273,b,251,b)].
% 0.71/1.06  462 product(e_1,e_3,e_2) | -product(e_1,e_4,e_2).  [resolve(292,b,29,b)].
% 0.71/1.06  515 product(e_1,e_2,e_4) | product(e_1,e_3,e_4).  [resolve(118,a,21,a),unit_del(a,136),unit_del(d,159)].
% 0.71/1.06  517 product(e_1,e_3,e_2) | product(e_1,e_4,e_2).  [resolve(118,a,19,a),unit_del(a,132),unit_del(b,155)].
% 0.71/1.06  571 product(e_2,e_1,e_3) | -product(e_1,e_2,e_4).  [resolve(403,b,169,b),unit_del(b,22)].
% 0.71/1.06  918 product(e_1,e_2,e_4) | -product(e_1,e_3,e_2).  [resolve(515,b,30,b)].
% 0.71/1.06  937 product(e_1,e_3,e_2).  [resolve(517,b,462,b),merge(b)].
% 0.71/1.06  938 product(e_1,e_2,e_4).  [back_unit_del(918),unit_del(b,937)].
% 0.71/1.06  944 product(e_2,e_1,e_3).  [back_unit_del(571),unit_del(b,938)].
% 0.71/1.06  953 $F.  [resolve(937,a,205,b),unit_del(a,22),unit_del(b,944)].
% 0.71/1.06  
% 0.71/1.06  % SZS output end Refutation
% 0.71/1.06  ============================== end of proof ==========================
% 0.71/1.06  
% 0.71/1.06  ============================== STATISTICS ============================
% 0.71/1.06  
% 0.71/1.06  Given=266. Generated=2114. Kept=935. proofs=1.
% 0.71/1.06  Usable=174. Sos=17. Demods=0. Limbo=0, Disabled=799. Hints=0.
% 0.71/1.06  Megabytes=0.56.
% 0.71/1.06  User_CPU=0.10, System_CPU=0.01, Wall_clock=0.
% 0.71/1.06  
% 0.71/1.06  ============================== end of statistics =====================
% 0.71/1.06  
% 0.71/1.06  ============================== end of search =========================
% 0.71/1.06  
% 0.71/1.06  THEOREM PROVED
% 0.71/1.06  % SZS status Unsatisfiable
% 0.71/1.06  
% 0.71/1.06  Exiting with 1 proof.
% 0.71/1.06  
% 0.71/1.06  Process 26726 exit (max_proofs) Tue Jun 14 07:23:25 2022
% 0.71/1.06  Prover9 interrupted
%------------------------------------------------------------------------------