TSTP Solution File: REL005+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : REL005+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n018.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 : Mon Jul 18 19:53:26 EDT 2022

% Result   : Theorem 2.15s 2.43s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : REL005+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n018.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 : Fri Jul  8 13:10:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/0.98  ============================== Prover9 ===============================
% 0.45/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.45/0.98  Process 550 was started by sandbox on n018.cluster.edu,
% 0.45/0.98  Fri Jul  8 13:10:41 2022
% 0.45/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_381_n018.cluster.edu".
% 0.45/0.98  ============================== end of head ===========================
% 0.45/0.98  
% 0.45/0.98  ============================== INPUT =================================
% 0.45/0.98  
% 0.45/0.98  % Reading from file /tmp/Prover9_381_n018.cluster.edu
% 0.45/0.98  
% 0.45/0.98  set(prolog_style_variables).
% 0.45/0.98  set(auto2).
% 0.45/0.98      % set(auto2) -> set(auto).
% 0.45/0.98      % set(auto) -> set(auto_inference).
% 0.45/0.98      % set(auto) -> set(auto_setup).
% 0.45/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.45/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/0.98      % set(auto) -> set(auto_limits).
% 0.45/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/0.98      % set(auto) -> set(auto_denials).
% 0.45/0.98      % set(auto) -> set(auto_process).
% 0.45/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.45/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.45/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.45/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.45/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.45/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.45/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.45/0.98      % set(auto2) -> assign(stats, some).
% 0.45/0.98      % set(auto2) -> clear(echo_input).
% 0.45/0.98      % set(auto2) -> set(quiet).
% 0.45/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.45/0.98      % set(auto2) -> clear(print_given).
% 0.45/0.98  assign(lrs_ticks,-1).
% 0.45/0.98  assign(sos_limit,10000).
% 0.45/0.98  assign(order,kbo).
% 0.45/0.98  set(lex_order_vars).
% 0.45/0.98  clear(print_given).
% 0.45/0.98  
% 0.45/0.98  % formulas(sos).  % not echoed (14 formulas)
% 0.45/0.98  
% 0.45/0.98  ============================== end of input ==========================
% 0.45/0.98  
% 0.45/0.98  % From the command line: assign(max_seconds, 300).
% 0.45/0.98  
% 0.45/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/0.98  
% 0.45/0.98  % Formulas that are not ordinary clauses:
% 0.45/0.98  1 (all X0 all X1 join(X0,X1) = join(X1,X0)) # label(maddux1_join_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  2 (all X0 all X1 all X2 join(X0,join(X1,X2)) = join(join(X0,X1),X2)) # label(maddux2_join_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  3 (all X0 all X1 X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) # label(maddux3_a_kind_of_de_Morgan) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  4 (all X0 all X1 meet(X0,X1) = complement(join(complement(X0),complement(X1)))) # label(maddux4_definiton_of_meet) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  5 (all X0 all X1 all X2 composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) # label(composition_associativity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  6 (all X0 composition(X0,one) = X0) # label(composition_identity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  7 (all X0 all X1 all X2 composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2))) # label(composition_distributivity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  8 (all X0 converse(converse(X0)) = X0) # label(converse_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  9 (all X0 all X1 converse(join(X0,X1)) = join(converse(X0),converse(X1))) # label(converse_additivity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  10 (all X0 all X1 converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) # label(converse_multiplicativity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  11 (all X0 all X1 join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1)) # label(converse_cancellativity) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  12 (all X0 top = join(X0,complement(X0))) # label(def_top) # label(axiom) # label(non_clause).  [assumption].
% 0.45/0.98  13 (all X0 zero = meet(X0,complement(X0))) # label(def_zero) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  14 -(all X0 all X1 converse(meet(X0,X1)) = meet(converse(X0),converse(X1))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 2.15/2.43  
% 2.15/2.43  ============================== end of process non-clausal formulas ===
% 2.15/2.43  
% 2.15/2.43  ============================== PROCESS INITIAL CLAUSES ===============
% 2.15/2.43  
% 2.15/2.43  ============================== PREDICATE ELIMINATION =================
% 2.15/2.43  
% 2.15/2.43  ============================== end predicate elimination =============
% 2.15/2.43  
% 2.15/2.43  Auto_denials:
% 2.15/2.43    % copying label goals to answer in negative clause
% 2.15/2.43  
% 2.15/2.43  Term ordering decisions:
% 2.15/2.43  Function symbol KB weights:  one=1. top=1. zero=1. c1=1. c2=1. join=1. composition=1. meet=1. complement=1. converse=1.
% 2.15/2.43  
% 2.15/2.43  ============================== end of process initial clauses ========
% 2.15/2.43  
% 2.15/2.43  ============================== CLAUSES FOR SEARCH ====================
% 2.15/2.43  
% 2.15/2.43  ============================== end of clauses for search =============
% 2.15/2.43  
% 2.15/2.43  ============================== SEARCH ================================
% 2.15/2.43  
% 2.15/2.43  % Starting search at 0.01 seconds.
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=38.000, iters=3354
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=35.000, iters=3378
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=32.000, iters=3358
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=31.000, iters=3407
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=30.000, iters=3370
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=29.000, iters=3336
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=28.000, iters=3339
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=27.000, iters=3406
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=26.000, iters=3336
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=25.000, iters=3366
% 2.15/2.43  
% 2.15/2.43  Low Water (keep): wt=24.000, iters=3335
% 2.15/2.43  
% 2.15/2.43  ============================== PROOF =================================
% 2.15/2.43  % SZS status Theorem
% 2.15/2.43  % SZS output start Refutation
% 2.15/2.43  
% 2.15/2.43  % Proof 1 at 1.42 (+ 0.04) seconds: goals.
% 2.15/2.43  % Length of proof is 82.
% 2.15/2.43  % Level of proof is 27.
% 2.15/2.43  % Maximum clause weight is 16.000.
% 2.15/2.43  % Given clauses 519.
% 2.15/2.43  
% 2.15/2.43  1 (all X0 all X1 join(X0,X1) = join(X1,X0)) # label(maddux1_join_commutativity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  2 (all X0 all X1 all X2 join(X0,join(X1,X2)) = join(join(X0,X1),X2)) # label(maddux2_join_associativity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  3 (all X0 all X1 X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) # label(maddux3_a_kind_of_de_Morgan) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  4 (all X0 all X1 meet(X0,X1) = complement(join(complement(X0),complement(X1)))) # label(maddux4_definiton_of_meet) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  5 (all X0 all X1 all X2 composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2)) # label(composition_associativity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  6 (all X0 composition(X0,one) = X0) # label(composition_identity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  8 (all X0 converse(converse(X0)) = X0) # label(converse_idempotence) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  9 (all X0 all X1 converse(join(X0,X1)) = join(converse(X0),converse(X1))) # label(converse_additivity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  10 (all X0 all X1 converse(composition(X0,X1)) = composition(converse(X1),converse(X0))) # label(converse_multiplicativity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  11 (all X0 all X1 join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1)) # label(converse_cancellativity) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  12 (all X0 top = join(X0,complement(X0))) # label(def_top) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  13 (all X0 zero = meet(X0,complement(X0))) # label(def_zero) # label(axiom) # label(non_clause).  [assumption].
% 2.15/2.43  14 -(all X0 all X1 converse(meet(X0,X1)) = meet(converse(X0),converse(X1))) # label(goals) # label(negated_conjecture) # label(non_clause).  [assumption].
% 2.15/2.43  15 composition(A,one) = A # label(composition_identity) # label(axiom).  [clausify(6)].
% 2.15/2.43  16 converse(converse(A)) = A # label(converse_idempotence) # label(axiom).  [clausify(8)].
% 2.15/2.43  17 join(A,complement(A)) = top # label(def_top) # label(axiom).  [clausify(12)].
% 2.15/2.43  18 meet(A,complement(A)) = zero # label(def_zero) # label(axiom).  [clausify(13)].
% 2.15/2.43  19 join(A,B) = join(B,A) # label(maddux1_join_commutativity) # label(axiom).  [clausify(1)].
% 2.15/2.43  20 meet(A,B) = complement(join(complement(A),complement(B))) # label(maddux4_definiton_of_meet) # label(axiom).  [clausify(4)].
% 2.15/2.43  21 converse(join(A,B)) = join(converse(A),converse(B)) # label(converse_additivity) # label(axiom).  [clausify(9)].
% 2.15/2.43  22 join(converse(A),converse(B)) = converse(join(A,B)).  [copy(21),flip(a)].
% 2.15/2.43  23 converse(composition(A,B)) = composition(converse(B),converse(A)) # label(converse_multiplicativity) # label(axiom).  [clausify(10)].
% 2.15/2.43  24 composition(converse(A),converse(B)) = converse(composition(B,A)).  [copy(23),flip(a)].
% 2.15/2.43  25 join(join(A,B),C) = join(A,join(B,C)) # label(maddux2_join_associativity) # label(axiom).  [clausify(2)].
% 2.15/2.43  26 join(A,join(B,C)) = join(C,join(A,B)).  [copy(25),rewrite([19(2)]),flip(a)].
% 2.15/2.43  27 composition(composition(A,B),C) = composition(A,composition(B,C)) # label(composition_associativity) # label(axiom).  [clausify(5)].
% 2.15/2.43  30 complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)) # label(converse_cancellativity) # label(axiom).  [clausify(11)].
% 2.15/2.43  31 join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A).  [copy(30),rewrite([19(7)]),flip(a)].
% 2.15/2.43  32 join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A # label(maddux3_a_kind_of_de_Morgan) # label(axiom).  [clausify(3)].
% 2.15/2.43  33 join(complement(join(A,complement(B))),complement(join(complement(A),complement(B)))) = B.  [copy(32),rewrite([19(6),19(8)]),rewrite([19(6)])].
% 2.15/2.43  34 converse(meet(c1,c2)) != meet(converse(c1),converse(c2)) # label(goals) # label(negated_conjecture) # answer(goals).  [clausify(14)].
% 2.15/2.43  35 complement(join(complement(converse(c1)),complement(converse(c2)))) != converse(complement(join(complement(c1),complement(c2)))) # answer(goals).  [copy(34),rewrite([20(3),20(12)]),flip(a)].
% 2.15/2.43  36 complement(top) = zero.  [back_rewrite(18),rewrite([20(2),17(4)])].
% 2.15/2.43  39 converse(composition(converse(A),B)) = composition(converse(B),A).  [para(16(a,1),24(a,1,2)),flip(a)].
% 2.15/2.43  40 join(A,join(B,complement(A))) = join(B,top).  [para(17(a,1),26(a,2,2)),rewrite([19(2)])].
% 2.15/2.43  41 composition(A,composition(one,B)) = composition(A,B).  [para(15(a,1),27(a,1,1)),flip(a)].
% 2.15/2.43  47 join(complement(one),composition(converse(A),complement(A))) = complement(one).  [para(15(a,1),31(a,1,2,2,1))].
% 2.15/2.43  52 join(zero,complement(join(complement(A),complement(A)))) = A.  [para(17(a,1),33(a,1,1,1)),rewrite([36(2)])].
% 2.15/2.43  60 join(complement(join(top,complement(A))),complement(join(zero,complement(A)))) = A.  [para(36(a,1),33(a,1,2,1,1))].
% 2.15/2.43  73 composition(converse(one),A) = A.  [para(15(a,1),39(a,1,1)),rewrite([16(2)]),flip(a)].
% 2.15/2.43  79 converse(one) = one.  [para(73(a,1),15(a,1)),flip(a)].
% 2.15/2.43  83 join(complement(A),complement(composition(one,A))) = complement(A).  [para(73(a,1),31(a,1,2))].
% 2.15/2.43  84 composition(one,A) = A.  [para(73(a,1),41(a,2)),rewrite([79(2),41(4)])].
% 2.15/2.43  85 join(complement(A),complement(A)) = complement(A).  [back_rewrite(83),rewrite([84(3)])].
% 2.15/2.43  86 join(zero,complement(complement(A))) = A.  [back_rewrite(52),rewrite([85(4)])].
% 2.15/2.43  87 converse(join(A,one)) = join(one,converse(A)).  [para(79(a,1),22(a,1,1)),rewrite([19(5)]),flip(a)].
% 2.15/2.43  91 join(top,complement(A)) = top.  [para(85(a,1),40(a,1,2)),rewrite([17(2),19(4)]),flip(a)].
% 2.15/2.43  92 join(zero,complement(join(zero,complement(A)))) = A.  [back_rewrite(60),rewrite([91(3),36(2)])].
% 2.15/2.43  93 join(top,top) = join(A,top).  [para(91(a,1),40(a,1,2)),flip(a)].
% 2.15/2.43  98 join(A,top) = join(B,top).  [para(93(a,1),40(a,2)),rewrite([91(3)])].
% 2.15/2.43  99 join(A,top) = c_0.  [new_symbol(98)].
% 2.15/2.43  102 join(A,join(B,complement(A))) = c_0.  [back_rewrite(40),rewrite([99(5)])].
% 2.15/2.43  113 c_0 = top.  [para(86(a,1),102(a,1,2)),rewrite([19(2),17(2)]),flip(a)].
% 2.15/2.43  114 join(A,join(B,complement(A))) = top.  [back_rewrite(102),rewrite([113(4)])].
% 2.15/2.43  141 join(zero,complement(A)) = complement(A).  [para(86(a,1),92(a,1,2,1))].
% 2.15/2.43  142 complement(complement(A)) = A.  [back_rewrite(92),rewrite([141(4),141(4)])].
% 2.15/2.43  143 join(A,zero) = A.  [back_rewrite(86),rewrite([142(3),19(2)])].
% 2.15/2.43  148 join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B).  [para(142(a,1),33(a,1,1,1,2)),rewrite([142(5),19(4)])].
% 2.15/2.43  150 join(A,A) = A.  [para(142(a,1),85(a,1,1)),rewrite([142(2),142(3)])].
% 2.15/2.43  154 join(A,join(A,B)) = join(A,B).  [para(150(a,1),26(a,1)),rewrite([19(3),26(4,R),19(3),26(3,R),150(2)]),flip(a)].
% 2.15/2.43  155 join(A,complement(join(B,complement(A)))) = A.  [para(33(a,1),154(a,1,2)),rewrite([19(4),33(12)])].
% 2.15/2.43  157 join(A,join(B,complement(join(C,complement(A))))) = join(A,B).  [para(155(a,1),26(a,2,2)),rewrite([19(4),19(6)])].
% 2.15/2.43  160 join(complement(A),complement(join(A,B))) = complement(A).  [para(142(a,1),155(a,1,2,1,2)),rewrite([19(2)])].
% 2.15/2.43  168 join(complement(one),composition(converse(complement(A)),A)) = complement(one).  [para(142(a,1),47(a,1,2,2))].
% 2.15/2.43  171 join(complement(converse(A)),complement(converse(join(A,B)))) = complement(converse(A)).  [para(22(a,1),160(a,1,2,1))].
% 2.15/2.43  222 join(complement(one),converse(complement(one))) = complement(one).  [para(15(a,1),168(a,1,2))].
% 2.15/2.43  226 converse(complement(one)) = complement(one).  [para(222(a,1),22(a,2,1)),rewrite([16(7),19(6),222(6)]),flip(a)].
% 2.15/2.43  231 converse(top) = top.  [para(226(a,1),87(a,2,2)),rewrite([19(4),17(4),17(6)])].
% 2.15/2.43  2512 join(A,complement(join(A,B))) = join(A,complement(B)).  [para(148(a,1),157(a,1,2)),flip(a)].
% 2.15/2.43  2940 join(complement(converse(A)),converse(join(A,B))) = top.  [para(171(a,1),114(a,1,2)),rewrite([19(5)])].
% 2.15/2.43  2966 join(A,join(B,converse(complement(converse(A))))) = top.  [para(2940(a,1),22(a,2,1)),rewrite([16(6),26(5),19(4),26(5,R),19(4),231(7)])].
% 2.15/2.43  2997 join(A,converse(complement(converse(A)))) = top.  [para(150(a,1),2966(a,1,2))].
% 2.15/2.43  3034 join(A,complement(converse(complement(converse(A))))) = A.  [para(2997(a,1),2512(a,1,2,1)),rewrite([36(2),143(2)]),flip(a)].
% 2.15/2.43  3035 join(converse(A),complement(converse(complement(A)))) = converse(A).  [para(16(a,1),3034(a,1,2,1,1,1))].
% 2.15/2.43  3038 join(A,converse(complement(converse(complement(A))))) = converse(complement(converse(complement(A)))).  [para(3034(a,1),33(a,1,2,1)),rewrite([142(9),19(8),2512(8),142(6)])].
% 2.15/2.43  3157 converse(complement(converse(complement(A)))) = A.  [para(3035(a,1),22(a,2,1)),rewrite([16(2),3038(5),16(6)])].
% 2.15/2.43  3180 complement(converse(complement(A))) = converse(A).  [para(3157(a,1),16(a,1,1)),flip(a)].
% 2.15/2.43  3249 converse(complement(A)) = complement(converse(A)).  [para(3180(a,1),142(a,1,1)),flip(a)].
% 2.15/2.43  3435 complement(join(complement(converse(c1)),complement(converse(c2)))) != complement(converse(join(complement(c1),complement(c2)))) # answer(goals).  [back_rewrite(35),rewrite([3249(15)])].
% 2.15/2.43  3436 join(complement(converse(A)),converse(B)) = converse(join(B,complement(A))).  [para(3249(a,1),22(a,1,1)),rewrite([19(6)])].
% 2.15/2.43  9559 join(complement(converse(A)),complement(converse(B))) = converse(join(complement(A),complement(B))).  [para(3249(a,1),3436(a,1,2)),rewrite([19(8)])].
% 2.15/2.43  9600 $F # answer(goals).  [back_rewrite(3435),rewrite([9559(7)]),xx(a)].
% 2.15/2.43  
% 2.15/2.43  % SZS output end Refutation
% 2.15/2.43  ============================== end of proof ==========================
% 2.15/2.43  
% 2.15/2.43  ============================== STATISTICS ============================
% 2.15/2.43  
% 2.15/2.43  Given=519. Generated=71041. Kept=9578. proofs=1.
% 2.15/2.43  Usable=414. Sos=7357. Demods=7370. Limbo=41, Disabled=1780. Hints=0.
% 2.15/2.43  Megabytes=11.85.
% 2.15/2.43  User_CPU=1.42, System_CPU=0.04, Wall_clock=1.
% 2.15/2.43  
% 2.15/2.43  ============================== end of statistics =====================
% 2.15/2.43  
% 2.15/2.43  ============================== end of search =========================
% 2.15/2.43  
% 2.15/2.43  THEOREM PROVED
% 2.15/2.43  % SZS status Theorem
% 2.15/2.43  
% 2.15/2.43  Exiting with 1 proof.
% 2.15/2.43  
% 2.15/2.43  Process 550 exit (max_proofs) Fri Jul  8 13:10:42 2022
% 2.15/2.43  Prover9 interrupted
%------------------------------------------------------------------------------