TSTP Solution File: GRP767-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 11:20:59 EDT 2022

% Result   : Unsatisfiable 2.54s 2.87s
% Output   : Refutation 2.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 20:42:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.54/2.87  ============================== Prover9 ===============================
% 2.54/2.87  Prover9 (32) version 2009-11A, November 2009.
% 2.54/2.87  Process 16068 was started by sandbox on n019.cluster.edu,
% 2.54/2.87  Mon Jun 13 20:42:10 2022
% 2.54/2.87  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15914_n019.cluster.edu".
% 2.54/2.87  ============================== end of head ===========================
% 2.54/2.87  
% 2.54/2.87  ============================== INPUT =================================
% 2.54/2.87  
% 2.54/2.87  % Reading from file /tmp/Prover9_15914_n019.cluster.edu
% 2.54/2.87  
% 2.54/2.87  set(prolog_style_variables).
% 2.54/2.87  set(auto2).
% 2.54/2.87      % set(auto2) -> set(auto).
% 2.54/2.87      % set(auto) -> set(auto_inference).
% 2.54/2.87      % set(auto) -> set(auto_setup).
% 2.54/2.87      % set(auto_setup) -> set(predicate_elim).
% 2.54/2.87      % set(auto_setup) -> assign(eq_defs, unfold).
% 2.54/2.87      % set(auto) -> set(auto_limits).
% 2.54/2.87      % set(auto_limits) -> assign(max_weight, "100.000").
% 2.54/2.87      % set(auto_limits) -> assign(sos_limit, 20000).
% 2.54/2.87      % set(auto) -> set(auto_denials).
% 2.54/2.87      % set(auto) -> set(auto_process).
% 2.54/2.87      % set(auto2) -> assign(new_constants, 1).
% 2.54/2.87      % set(auto2) -> assign(fold_denial_max, 3).
% 2.54/2.87      % set(auto2) -> assign(max_weight, "200.000").
% 2.54/2.87      % set(auto2) -> assign(max_hours, 1).
% 2.54/2.87      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 2.54/2.87      % set(auto2) -> assign(max_seconds, 0).
% 2.54/2.87      % set(auto2) -> assign(max_minutes, 5).
% 2.54/2.87      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 2.54/2.87      % set(auto2) -> set(sort_initial_sos).
% 2.54/2.87      % set(auto2) -> assign(sos_limit, -1).
% 2.54/2.87      % set(auto2) -> assign(lrs_ticks, 3000).
% 2.54/2.87      % set(auto2) -> assign(max_megs, 400).
% 2.54/2.87      % set(auto2) -> assign(stats, some).
% 2.54/2.87      % set(auto2) -> clear(echo_input).
% 2.54/2.87      % set(auto2) -> set(quiet).
% 2.54/2.87      % set(auto2) -> clear(print_initial_clauses).
% 2.54/2.87      % set(auto2) -> clear(print_given).
% 2.54/2.87  assign(lrs_ticks,-1).
% 2.54/2.87  assign(sos_limit,10000).
% 2.54/2.87  assign(order,kbo).
% 2.54/2.87  set(lex_order_vars).
% 2.54/2.87  clear(print_given).
% 2.54/2.87  
% 2.54/2.87  % formulas(sos).  % not echoed (21 formulas)
% 2.54/2.87  
% 2.54/2.87  ============================== end of input ==========================
% 2.54/2.87  
% 2.54/2.87  % From the command line: assign(max_seconds, 300).
% 2.54/2.87  
% 2.54/2.87  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 2.54/2.87  
% 2.54/2.87  % Formulas that are not ordinary clauses:
% 2.54/2.87  
% 2.54/2.87  ============================== end of process non-clausal formulas ===
% 2.54/2.87  
% 2.54/2.87  ============================== PROCESS INITIAL CLAUSES ===============
% 2.54/2.87  
% 2.54/2.87  ============================== PREDICATE ELIMINATION =================
% 2.54/2.87  
% 2.54/2.87  ============================== end predicate elimination =============
% 2.54/2.87  
% 2.54/2.87  Auto_denials:
% 2.54/2.87    % copying label goals to answer in negative clause
% 2.54/2.87  
% 2.54/2.87  Term ordering decisions:
% 2.54/2.87  Function symbol KB weights:  one=1. x0=1. x1=1. product=1. quotient=1. difference=1. t=1. eta=1. i=1. j=1. l=1.
% 2.54/2.87  
% 2.54/2.87  ============================== end of process initial clauses ========
% 2.54/2.87  
% 2.54/2.87  ============================== CLAUSES FOR SEARCH ====================
% 2.54/2.87  
% 2.54/2.87  ============================== end of clauses for search =============
% 2.54/2.87  
% 2.54/2.87  ============================== SEARCH ================================
% 2.54/2.87  
% 2.54/2.87  % Starting search at 0.01 seconds.
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=177.000, iters=3386
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=143.000, iters=3394
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=139.000, iters=3446
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=75.000, iters=3342
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=69.000, iters=3376
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=57.000, iters=3342
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=55.000, iters=3373
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=53.000, iters=3347
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=51.000, iters=3415
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=49.000, iters=3373
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=43.000, iters=3421
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=39.000, iters=3377
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=37.000, iters=3341
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=35.000, iters=3336
% 2.54/2.87  
% 2.54/2.87  Low Water (keep): wt=33.000, iters=3359
% 2.54/2.87  
% 2.54/2.87  ============================== PROOF =================================
% 2.54/2.87  % SZS status Unsatisfiable
% 2.54/2.87  % SZS output start Refutation
% 2.54/2.87  
% 2.54/2.87  % Proof 1 at 1.86 (+ 0.04) seconds: goals.
% 2.54/2.87  % Length of proof is 83.
% 2.54/2.87  % Level of proof is 15.
% 2.54/2.87  % Maximum clause weight is 31.000.
% 2.54/2.87  % Given clauses 361.
% 2.54/2.87  
% 2.54/2.87  1 product(A,one) = A # label(sos01) # label(axiom).  [assumption].
% 2.54/2.87  2 product(one,A) = A # label(sos02) # label(axiom).  [assumption].
% 2.54/2.87  3 i(A) = difference(A,one) # label(sos09) # label(axiom).  [assumption].
% 2.54/2.87  4 j(A) = quotient(one,A) # label(sos10) # label(axiom).  [assumption].
% 2.54/2.87  5 product(A,difference(A,B)) = B # label(sos03) # label(axiom).  [assumption].
% 2.54/2.87  6 difference(A,product(A,B)) = B # label(sos04) # label(axiom).  [assumption].
% 2.54/2.87  7 quotient(product(A,B),B) = A # label(sos05) # label(axiom).  [assumption].
% 2.54/2.87  8 product(quotient(A,B),B) = A # label(sos06) # label(axiom).  [assumption].
% 2.54/2.87  9 eta(A) = product(i(A),A) # label(sos12) # label(axiom).  [assumption].
% 2.54/2.87  10 eta(A) = product(difference(A,one),A).  [copy(9),rewrite([3(2)])].
% 2.54/2.87  11 product(i(A),A) = product(A,j(A)) # label(sos11) # label(axiom).  [assumption].
% 2.54/2.87  12 product(difference(A,one),A) = product(A,quotient(one,A)).  [copy(11),rewrite([3(1),4(4)])].
% 2.54/2.87  14 product(i(i(A)),B) = product(eta(A),product(A,B)) # label(sos13) # label(axiom).  [assumption].
% 2.54/2.87  15 product(product(A,quotient(one,A)),product(A,B)) = product(difference(difference(A,one),one),B).  [copy(14),rewrite([3(1),3(3),10(6),12(8)]),flip(a)].
% 2.54/2.87  16 product(A,product(eta(A),B)) = product(j(j(A)),B) # label(sos14) # label(axiom).  [assumption].
% 2.54/2.87  17 product(A,product(product(A,quotient(one,A)),B)) = product(quotient(one,quotient(one,A)),B).  [copy(16),rewrite([10(1),12(3),4(6),4(8)])].
% 2.54/2.87  18 product(A,product(B,eta(A))) = product(product(A,B),eta(A)) # label(sos15) # label(axiom).  [assumption].
% 2.54/2.87  19 product(product(A,B),product(A,quotient(one,A))) = product(A,product(B,product(A,quotient(one,A)))).  [copy(18),rewrite([10(1),12(3),10(7),12(9)]),flip(a)].
% 2.54/2.87  20 product(eta(A),product(B,C)) = product(product(eta(A),B),C) # label(sos16) # label(axiom).  [assumption].
% 2.54/2.87  21 product(product(product(A,quotient(one,A)),B),C) = product(product(A,quotient(one,A)),product(B,C)).  [copy(20),rewrite([10(1),12(3),10(6),12(8)]),flip(a)].
% 2.54/2.87  23 difference(A,product(product(A,B),C)) = quotient(product(B,product(C,A)),A) # label(sos07) # label(axiom).  [assumption].
% 2.54/2.87  28 difference(product(A,B),product(A,product(B,C))) = quotient(quotient(product(C,product(A,B)),B),A) # label(sos08) # label(axiom).  [assumption].
% 2.54/2.87  29 product(j(j(x0)),j(product(x1,x0))) != j(x1) # label(goals) # label(negated_conjecture) # answer(goals).  [assumption].
% 2.54/2.87  30 product(quotient(one,quotient(one,x0)),quotient(one,product(x1,x0))) != quotient(one,x1) # answer(goals).  [copy(29),rewrite([4(2),4(4),4(9),4(13)])].
% 2.54/2.87  35 difference(A,A) = one.  [para(1(a,1),6(a,1,2))].
% 2.54/2.87  38 quotient(A,difference(B,A)) = B.  [para(5(a,1),7(a,1,1))].
% 2.54/2.87  39 difference(quotient(A,B),A) = B.  [para(8(a,1),6(a,1,2))].
% 2.54/2.87  42 product(product(A,quotient(one,A)),A) = difference(difference(A,one),one).  [para(1(a,1),15(a,1,2)),rewrite([1(10)])].
% 2.54/2.87  43 product(difference(difference(A,one),one),difference(A,B)) = product(product(A,quotient(one,A)),B).  [para(5(a,1),15(a,1,2)),flip(a)].
% 2.54/2.87  45 quotient(product(difference(difference(A,one),one),B),product(A,B)) = product(A,quotient(one,A)).  [para(15(a,1),7(a,1,1))].
% 2.54/2.87  51 difference(A,product(quotient(one,quotient(one,A)),B)) = product(product(A,quotient(one,A)),B).  [para(17(a,1),6(a,1,2))].
% 2.54/2.87  54 product(product(A,quotient(one,A)),product(quotient(one,quotient(one,A)),B)) = product(A,B).  [para(17(a,1),15(a,2)),rewrite([38(13),12(10),38(9),12(6),17(8),38(16),38(13)])].
% 2.54/2.87  66 product(product(quotient(one,quotient(one,A)),B),product(A,quotient(one,A))) = product(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))).  [para(17(a,1),19(a,1,1)),rewrite([21(17),17(18)])].
% 2.54/2.87  71 quotient(quotient(product(A,product(product(B,quotient(one,B)),C)),C),product(B,quotient(one,B))) = A.  [para(21(a,1),6(a,1,2)),rewrite([28(10)])].
% 2.54/2.87  72 quotient(product(product(A,quotient(one,A)),product(B,C)),C) = product(product(A,quotient(one,A)),B).  [para(21(a,1),7(a,1,1))].
% 2.54/2.87  83 product(A,quotient(product(B,product(C,A)),A)) = product(product(A,B),C).  [para(23(a,1),5(a,1,2))].
% 2.54/2.87  84 quotient(product(difference(A,B),product(C,A)),A) = difference(A,product(B,C)).  [para(5(a,1),23(a,1,2,1)),flip(a)].
% 2.54/2.87  97 quotient(product(A,product(B,product(C,quotient(one,C)))),product(C,quotient(one,C))) = product(A,B).  [para(21(a,1),23(a,1,2)),rewrite([6(9)]),flip(a)].
% 2.54/2.87  115 difference(product(A,B),product(A,C)) = quotient(difference(B,product(C,A)),A).  [para(5(a,1),28(a,1,2,2)),rewrite([84(7)])].
% 2.54/2.87  154 product(quotient(one,A),quotient(one,quotient(one,A))) = product(A,quotient(one,A)).  [para(39(a,1),12(a,1,1)),flip(a)].
% 2.54/2.87  164 difference(difference(product(A,quotient(one,A)),one),one) = product(A,quotient(one,A)).  [para(42(a,1),21(a,1)),rewrite([8(19),1(12)])].
% 2.54/2.87  172 product(product(A,quotient(one,A)),quotient(one,A)) = difference(A,one).  [para(39(a,1),42(a,2,1)),rewrite([154(7)])].
% 2.54/2.87  195 product(product(A,quotient(one,A)),product(quotient(one,product(A,quotient(one,A))),B)) = B.  [para(21(a,1),43(a,2)),rewrite([164(7),5(8)]),flip(a)].
% 2.54/2.87  207 difference(product(A,quotient(one,A)),one) = quotient(one,product(A,quotient(one,A))).  [para(172(a,1),21(a,1)),rewrite([195(20)])].
% 2.54/2.87  240 quotient(product(A,B),product(quotient(one,quotient(one,A)),B)) = product(A,quotient(one,A)).  [para(17(a,1),45(a,1,1)),rewrite([38(7),38(4),38(11),12(8),38(7),12(4),17(6)])].
% 2.54/2.87  293 product(product(A,B),quotient(C,A)) = product(A,quotient(product(B,C),A)).  [para(8(a,1),83(a,1,2,1,2)),flip(a)].
% 2.54/2.87  303 product(product(A,product(B,product(A,quotient(one,A)))),C) = product(product(A,B),product(product(A,quotient(one,A)),C)).  [para(19(a,1),83(a,2,1)),rewrite([72(9)]),flip(a)].
% 2.54/2.87  570 product(difference(A,product(B,C)),A) = product(difference(A,B),product(C,A)).  [para(84(a,1),8(a,1,1))].
% 2.54/2.87  717 product(product(quotient(one,quotient(one,A)),product(B,product(A,quotient(one,A)))),C) = product(product(quotient(one,quotient(one,A)),B),product(product(A,quotient(one,A)),C)).  [para(66(a,1),83(a,2,1)),rewrite([72(21)]),flip(a)].
% 2.54/2.87  781 difference(product(A,B),A) = quotient(difference(B,A),A).  [para(1(a,1),115(a,1,2)),rewrite([2(4)])].
% 2.54/2.87  782 quotient(difference(difference(A,B),product(C,A)),A) = difference(B,product(A,C)).  [para(5(a,1),115(a,1,1)),flip(a)].
% 2.54/2.87  875 quotient(difference(difference(A,B),A),A) = difference(B,A).  [para(5(a,1),781(a,1,1)),flip(a)].
% 2.54/2.87  877 difference(product(difference(difference(A,one),one),B),product(A,quotient(one,A))) = quotient(quotient(difference(B,one),A),product(A,quotient(one,A))).  [para(15(a,1),781(a,1,1)),rewrite([115(14),8(12)])].
% 2.54/2.87  895 quotient(difference(product(quotient(one,quotient(one,A)),B),product(A,quotient(one,A))),product(A,quotient(one,A))) = quotient(difference(B,one),A).  [para(54(a,1),781(a,1,1)),rewrite([115(5),8(3)]),flip(a)].
% 2.54/2.87  965 quotient(quotient(A,B),product(C,quotient(one,C))) = quotient(A,product(product(C,quotient(one,C)),B)).  [para(8(a,1),71(a,1,1,1))].
% 2.54/2.87  972 difference(product(difference(difference(A,one),one),B),product(A,quotient(one,A))) = quotient(difference(B,one),difference(difference(A,one),one)).  [back_rewrite(877),rewrite([965(16),42(15)])].
% 2.54/2.87  996 difference(difference(A,B),A) = product(difference(B,A),A).  [para(875(a,1),8(a,1,1)),flip(a)].
% 2.54/2.87  1130 quotient(A,product(difference(B,A),A)) = difference(A,B).  [para(996(a,1),38(a,1,2))].
% 2.54/2.87  1131 product(difference(A,quotient(A,B)),quotient(A,B)) = difference(B,quotient(A,B)).  [para(39(a,1),996(a,1,1)),flip(a)].
% 2.54/2.87  1243 difference(A,quotient(A,B)) = quotient(A,product(B,A)).  [para(39(a,1),1130(a,1,2,1)),flip(a)].
% 2.54/2.87  1257 product(quotient(A,product(B,A)),quotient(A,B)) = difference(B,quotient(A,B)).  [back_rewrite(1131),rewrite([1243(2)])].
% 2.54/2.87  1327 quotient(product(difference(difference(A,one),one),B),product(product(A,B),product(difference(difference(A,one),one),B))) = quotient(difference(B,one),difference(difference(A,one),one)).  [para(45(a,1),1243(a,1,2)),rewrite([972(9)]),flip(a)].
% 2.54/2.87  1940 product(product(A,B),product(C,quotient(one,C))) = product(A,product(B,product(C,quotient(one,C)))).  [para(97(a,1),8(a,1,1))].
% 2.54/2.87  2466 product(difference(A,one),product(B,A)) = product(difference(A,B),A).  [para(2(a,1),570(a,1,1,2)),flip(a)].
% 2.54/2.87  2563 difference(difference(A,one),product(difference(A,B),A)) = product(B,A).  [para(2466(a,1),6(a,1,2))].
% 2.54/2.87  2564 quotient(product(difference(A,B),A),product(B,A)) = difference(A,one).  [para(2466(a,1),7(a,1,1))].
% 2.54/2.87  2565 product(difference(A,quotient(B,A)),A) = product(difference(A,one),B).  [para(8(a,1),2466(a,1,2)),flip(a)].
% 2.54/2.87  2676 difference(difference(A,one),product(B,A)) = product(product(A,B),A).  [para(6(a,1),2563(a,1,2,1))].
% 2.54/2.87  2701 quotient(product(A,B),product(product(B,A),B)) = difference(B,one).  [para(6(a,1),2564(a,1,1,1))].
% 2.54/2.87  2734 difference(difference(A,quotient(B,A)),product(difference(A,one),B)) = A.  [para(2565(a,1),6(a,1,2))].
% 2.54/2.87  2773 product(product(A,quotient(B,A)),A) = difference(difference(A,one),B).  [para(8(a,1),2676(a,1,2)),flip(a)].
% 2.54/2.87  2785 difference(difference(product(quotient(one,quotient(one,A)),B),one),product(A,B)) = product(product(quotient(one,quotient(one,A)),B),product(A,B)).  [para(54(a,1),2676(a,1,2)),rewrite([1940(18),717(24),54(23)])].
% 2.54/2.87  2896 quotient(difference(A,one),difference(difference(B,one),one)) = difference(product(B,A),one).  [para(15(a,1),2701(a,1,1)),rewrite([1940(10),303(12),15(11),1327(13)])].
% 2.54/2.87  4132 difference(A,product(B,quotient(C,B))) = quotient(difference(difference(B,A),C),B).  [para(8(a,1),782(a,1,1,2)),flip(a)].
% 2.54/2.87  4248 difference(product(quotient(one,quotient(one,A)),B),one) = quotient(difference(B,one),A).  [back_rewrite(895),rewrite([4132(9),51(6),965(11),2773(10),2896(11),17(5)])].
% 2.54/2.87  4263 product(product(quotient(one,quotient(one,A)),B),product(A,B)) = difference(quotient(difference(B,one),A),product(A,B)).  [back_rewrite(2785),rewrite([4248(7)]),flip(a)].
% 2.54/2.87  8234 difference(product(quotient(one,A),B),one) = quotient(difference(B,one),difference(A,one)).  [para(39(a,1),2896(a,1,2,1)),flip(a)].
% 2.54/2.87  8243 difference(product(product(A,quotient(one,A)),B),one) = quotient(difference(B,one),product(A,quotient(one,A))).  [para(207(a,1),2896(a,1,2,1)),rewrite([39(9)]),flip(a)].
% 2.54/2.87  8462 difference(quotient(quotient(difference(A,one),product(B,quotient(one,B))),B),product(quotient(difference(A,one),B),product(B,A))) = product(quotient(one,quotient(one,B)),A).  [para(240(a,1),2734(a,1,1,2)),rewrite([4132(9),51(6),8243(6),8234(14),39(13)])].
% 2.54/2.87  8475 quotient(quotient(difference(A,one),product(B,quotient(one,B))),B) = product(quotient(difference(A,one),B),product(B,quotient(one,B))).  [para(240(a,1),1257(a,1,2)),rewrite([4263(8),38(7),240(19),4132(16),51(13),8243(13)]),flip(a)].
% 2.54/2.87  8489 quotient(one,quotient(difference(A,one),B)) = product(quotient(one,quotient(one,B)),A).  [back_rewrite(8462),rewrite([8475(7),115(13),293(8),5(6),35(7)])].
% 2.54/2.87  13163 product(quotient(one,quotient(one,A)),quotient(one,B)) = quotient(one,quotient(B,A)).  [para(39(a,1),8489(a,1,2,1)),flip(a)].
% 2.54/2.87  13242 $F # answer(goals).  [back_rewrite(30),rewrite([13163(11),7(6)]),xx(a)].
% 2.54/2.87  
% 2.54/2.87  % SZS output end Refutation
% 2.54/2.87  ============================== end of proof ==========================
% 2.54/2.87  
% 2.54/2.87  ============================== STATISTICS ============================
% 2.54/2.87  
% 2.54/2.87  Given=361. Generated=49838. Kept=13232. proofs=1.
% 2.54/2.87  Usable=211. Sos=6886. Demods=7090. Limbo=79, Disabled=6077. Hints=0.
% 2.54/2.87  Megabytes=21.66.
% 2.54/2.87  User_CPU=1.86, System_CPU=0.04, Wall_clock=2.
% 2.54/2.87  
% 2.54/2.87  ============================== end of statistics =====================
% 2.54/2.87  
% 2.54/2.87  ============================== end of search =========================
% 2.54/2.87  
% 2.54/2.87  THEOREM PROVED
% 2.54/2.87  % SZS status Unsatisfiable
% 2.54/2.87  
% 2.54/2.87  Exiting with 1 proof.
% 2.54/2.87  
% 2.54/2.87  Process 16068 exit (max_proofs) Mon Jun 13 20:42:12 2022
% 2.54/2.87  Prover9 interrupted
%------------------------------------------------------------------------------