TSTP Solution File: SWV567-1.014 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 : Wed Jul 20 21:13:52 EDT 2022

% Result   : Unsatisfiable 82.37s 82.65s
% Output   : Refutation 82.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : tptp2X_and_run_prover9 %d %s
% 0.16/0.37  % Computer : n023.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Thu Jun 16 04:44:20 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 21.76/22.03  ============================== Prover9 ===============================
% 21.76/22.03  Prover9 (32) version 2009-11A, November 2009.
% 21.76/22.03  Process 30091 was started by sandbox2 on n023.cluster.edu,
% 21.76/22.03  Thu Jun 16 04:44:26 2022
% 21.76/22.03  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_29937_n023.cluster.edu".
% 21.76/22.03  ============================== end of head ===========================
% 21.76/22.03  
% 21.76/22.03  ============================== INPUT =================================
% 21.76/22.03  
% 21.76/22.03  % Reading from file /tmp/Prover9_29937_n023.cluster.edu
% 21.76/22.03  
% 21.76/22.03  set(prolog_style_variables).
% 21.76/22.03  set(auto2).
% 21.76/22.03      % set(auto2) -> set(auto).
% 21.76/22.03      % set(auto) -> set(auto_inference).
% 21.76/22.03      % set(auto) -> set(auto_setup).
% 21.76/22.03      % set(auto_setup) -> set(predicate_elim).
% 21.76/22.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 21.76/22.03      % set(auto) -> set(auto_limits).
% 21.76/22.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 21.76/22.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 21.76/22.03      % set(auto) -> set(auto_denials).
% 21.76/22.03      % set(auto) -> set(auto_process).
% 21.76/22.03      % set(auto2) -> assign(new_constants, 1).
% 21.76/22.03      % set(auto2) -> assign(fold_denial_max, 3).
% 21.76/22.03      % set(auto2) -> assign(max_weight, "200.000").
% 21.76/22.03      % set(auto2) -> assign(max_hours, 1).
% 21.76/22.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 21.76/22.03      % set(auto2) -> assign(max_seconds, 0).
% 21.76/22.03      % set(auto2) -> assign(max_minutes, 5).
% 21.76/22.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 21.76/22.03      % set(auto2) -> set(sort_initial_sos).
% 21.76/22.03      % set(auto2) -> assign(sos_limit, -1).
% 21.76/22.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 21.76/22.03      % set(auto2) -> assign(max_megs, 400).
% 21.76/22.03      % set(auto2) -> assign(stats, some).
% 21.76/22.03      % set(auto2) -> clear(echo_input).
% 21.76/22.03      % set(auto2) -> set(quiet).
% 21.76/22.03      % set(auto2) -> clear(print_initial_clauses).
% 21.76/22.03      % set(auto2) -> clear(print_given).
% 21.76/22.03  assign(lrs_ticks,-1).
% 21.76/22.03  assign(sos_limit,10000).
% 21.76/22.03  assign(order,kbo).
% 21.76/22.03  set(lex_order_vars).
% 21.76/22.03  clear(print_given).
% 21.76/22.03  
% 21.76/22.03  % formulas(sos).  % not echoed (706 formulas)
% 21.76/22.03  
% 21.76/22.03  ============================== end of input ==========================
% 21.76/22.03  
% 21.76/22.03  % From the command line: assign(max_seconds, 300).
% 21.76/22.03  
% 21.76/22.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 21.76/22.03  
% 21.76/22.03  % Formulas that are not ordinary clauses:
% 21.76/22.03  
% 21.76/22.03  ============================== end of process non-clausal formulas ===
% 21.76/22.03  
% 21.76/22.03  ============================== PROCESS INITIAL CLAUSES ===============
% 21.76/22.03  
% 21.76/22.03  ============================== PREDICATE ELIMINATION =================
% 21.76/22.03  
% 21.76/22.03  ============================== end predicate elimination =============
% 21.76/22.03  
% 21.76/22.03  Auto_denials:  (non-Horn, no changes).
% 21.76/22.03  
% 21.76/22.03  Term ordering decisions:
% 21.76/22.03  
% 21.76/22.03  % Assigning unary symbol s kb_weight 0 and highest precedence (78).
% 21.76/22.03  Function symbol KB weights:  a=1. elem_0=1. elem_10=1. elem_13=1. elem_16=1. elem_19=1. elem_22=1. elem_25=1. elem_28=1. elem_31=1. elem_34=1. elem_37=1. elem_4=1. elem_7=1. elem_11=1. elem_14=1. elem_17=1. elem_2=1. elem_20=1. elem_23=1. elem_26=1. elem_29=1. elem_32=1. elem_35=1. elem_38=1. elem_40=1. elem_44=1. elem_46=1. elem_48=1. elem_5=1. elem_50=1. elem_52=1. elem_54=1. elem_56=1. elem_58=1. elem_60=1. elem_62=1. elem_64=1. elem_66=1. elem_68=1. elem_8=1. i=1. earray_12=1. earray_15=1. earray_18=1. earray_21=1. earray_24=1. earray_27=1. earray_3=1. earray_30=1. earray_33=1. earray_36=1. earray_39=1. earray_42=1. earray_45=1. earray_47=1. earray_49=1. earray_51=1. earray_53=1. earray_55=1. earray_57=1. earray_59=1. earray_6=1. earray_61=1. earray_63=1. earray_65=1. earray_67=1. earray_69=1. earray_71=1. earray_9=1. elem_1=1. elem_41=1. elem_43=1. elem_70=1. select=1. store=1. s=0.
% 21.76/22.03  
% 21.76/22.03  ============================== end of process initial clauses ========
% 21.76/22.03  
% 21.76/22.03  ============================== CLAUSES FOR SEARCH ====================
% 21.76/22.03  
% 21.76/22.03  ============================== end of clauses for search =============
% 21.76/22.03  
% 21.76/22.03  ============================== SEARCH ================================
% 21.76/22.03  
% 21.76/22.03  % Starting search at 2.76 seconds.
% 21.76/22.03  
% 21.76/22.03  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 3.27 sec).
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=200.000, iters=3736
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=199.000, iters=3718
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=198.000, iters=3700
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=197.000, iters=3682
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=196.000, iters=3664
% 21.76/22.03  
% 21.76/22.03  Low Water (keep): wt=195.000, iters=3645
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=194.000, iters=3627
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=193.000, iters=3609
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=192.000, iters=3591
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=191.000, iters=3573
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=190.000, iters=3555
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=189.000, iters=3536
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=188.000, iters=3518
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=187.000, iters=3500
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=186.000, iters=3482
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=185.000, iters=3464
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=184.000, iters=3446
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=183.000, iters=3428
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=182.000, iters=3409
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=181.000, iters=3391
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=180.000, iters=3373
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=179.000, iters=3355
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=178.000, iters=3337
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=177.000, iters=3518
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=176.000, iters=3499
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=175.000, iters=3480
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=174.000, iters=3460
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=173.000, iters=3441
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=172.000, iters=3422
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=171.000, iters=3402
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=170.000, iters=3383
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=169.000, iters=3364
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=168.000, iters=3345
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=167.000, iters=3514
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=166.000, iters=3493
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=165.000, iters=3473
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=164.000, iters=3452
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=163.000, iters=3432
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=162.000, iters=3412
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=161.000, iters=3391
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=160.000, iters=3371
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=159.000, iters=3350
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=158.000, iters=3507
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=157.000, iters=3486
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=156.000, iters=3464
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=155.000, iters=3443
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=154.000, iters=3421
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=153.000, iters=3400
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=152.000, iters=3378
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=151.000, iters=3356
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=150.000, iters=3335
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=149.000, iters=3480
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=148.000, iters=3458
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=147.000, iters=3435
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=146.000, iters=3413
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=145.000, iters=3390
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=144.000, iters=3367
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=143.000, iters=3345
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=142.000, iters=3480
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=141.000, iters=3456
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=140.000, iters=3433
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=139.000, iters=3409
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=138.000, iters=3385
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=137.000, iters=3361
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=136.000, iters=3337
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=135.000, iters=3464
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=134.000, iters=3439
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=133.000, iters=3414
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=132.000, iters=3389
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=131.000, iters=3364
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=130.000, iters=3339
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=129.000, iters=3470
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=128.000, iters=3444
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=127.000, iters=3418
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=126.000, iters=3392
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=125.000, iters=3366
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=124.000, iters=3340
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=123.000, iters=3450
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=122.000, iters=3423
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=121.000, iters=3396
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=120.000, iters=3369
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=119.000, iters=3342
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=118.000, iters=3444
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=117.000, iters=3415
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=116.000, iters=3387
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=115.000, iters=3359
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=114.000, iters=3456
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=113.000, iters=3427
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=112.000, iters=3397
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=111.000, iters=3368
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=110.000, iters=3339
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=109.000, iters=3430
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=108.000, iters=3400
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=107.000, iters=3369
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=106.000, iters=3339
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=105.000, iters=3426
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=104.000, iters=3394
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=103.000, iters=3363
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=102.000, iters=3457
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=101.000, iters=3424
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=100.000, iters=3391
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=99.000, iters=3358
% 26.19/26.49  
% 26.19/26.49  Low Water (keep): wt=98.000, iters=3437
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=97.000, iters=3403
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=96.000, iters=3369
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=95.000, iters=3335
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=94.000, iters=3409
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=93.000, iters=3374
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=92.000, iters=3339
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=91.000, iters=3409
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=90.000, iters=3373
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=89.000, iters=3337
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=88.000, iters=3404
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=87.000, iters=3367
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=86.000, iters=3431
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=85.000, iters=3393
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=84.000, iters=3355
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=83.000, iters=3416
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=82.000, iters=3376
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=81.000, iters=3337
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=80.000, iters=3395
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=79.000, iters=3354
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=78.000, iters=3410
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=77.000, iters=3368
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=76.000, iters=3422
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=75.000, iters=3379
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=74.000, iters=3336
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=73.000, iters=3386
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=72.000, iters=3342
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=71.000, iters=3388
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=70.000, iters=3343
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=69.000, iters=3387
% 82.37/82.65  
% 82.37/82.65  Low Water (keep): wt=68.000, iters=3341
% 82.37/82.65  
% 82.37/82.65  ============================== PROOF =================================
% 82.37/82.65  % SZS status Unsatisfiable
% 82.37/82.65  % SZS output start Refutation
% 82.37/82.65  
% 82.37/82.65  % Proof 1 at 76.38 (+ 0.05) seconds.
% 82.37/82.65  % Length of proof is 180.
% 82.37/82.65  % Level of proof is 25.
% 82.37/82.65  % Maximum clause weight is 17.000.
% 82.37/82.65  % Given clauses 1108.
% 82.37/82.65  
% 82.37/82.65  1 select(store(A,B,C),B) = C # label(a1) # label(axiom).  [assumption].
% 82.37/82.65  2 A = B | select(store(C,A,D),B) = select(C,B) # label(a2) # label(axiom).  [assumption].
% 82.37/82.65  619 s(s(s(s(s(s(s(s(s(s(s(s(s(s(A)))))))))))))) != A # label(as14) # label(axiom).  [assumption].
% 82.37/82.65  620 s(s(s(s(s(s(s(s(s(s(s(s(s(A))))))))))))) != A # label(as13) # label(axiom).  [assumption].
% 82.37/82.65  621 s(s(s(s(s(s(s(s(s(s(s(s(A)))))))))))) != A # label(as12) # label(axiom).  [assumption].
% 82.37/82.65  622 s(s(s(s(s(s(s(s(s(s(s(A))))))))))) != A # label(as11) # label(axiom).  [assumption].
% 82.37/82.65  623 s(s(s(s(s(s(s(s(s(s(A)))))))))) != A # label(as10) # label(axiom).  [assumption].
% 82.37/82.65  624 s(s(s(s(s(s(s(s(s(A))))))))) != A # label(as9) # label(axiom).  [assumption].
% 82.37/82.65  625 s(s(s(s(s(s(s(s(A)))))))) != A # label(as8) # label(axiom).  [assumption].
% 82.37/82.65  626 s(s(s(s(s(s(s(A))))))) != A # label(as7) # label(axiom).  [assumption].
% 82.37/82.65  627 s(s(s(s(s(s(A)))))) != A # label(as6) # label(axiom).  [assumption].
% 82.37/82.65  628 s(s(s(s(s(A))))) != A # label(as5) # label(axiom).  [assumption].
% 82.37/82.65  629 s(s(s(s(A)))) != A # label(as4) # label(axiom).  [assumption].
% 82.37/82.65  630 s(s(s(A))) != A # label(as3) # label(axiom).  [assumption].
% 82.37/82.65  631 s(s(A)) != A # label(as2) # label(axiom).  [assumption].
% 82.37/82.65  632 s(A) != A # label(as1) # label(axiom).  [assumption].
% 82.37/82.65  633 earray_12 = store(earray_9,elem_10,elem_11) # label(hyp0) # label(hypothesis).  [assumption].
% 82.37/82.65  634 store(earray_9,elem_10,elem_11) = earray_12.  [copy(633),flip(a)].
% 82.37/82.65  635 earray_15 = store(earray_12,elem_13,elem_14) # label(hyp1) # label(hypothesis).  [assumption].
% 82.37/82.65  636 store(earray_12,elem_13,elem_14) = earray_15.  [copy(635),flip(a)].
% 82.37/82.65  637 earray_18 = store(earray_15,elem_16,elem_17) # label(hyp2) # label(hypothesis).  [assumption].
% 82.37/82.65  638 store(earray_15,elem_16,elem_17) = earray_18.  [copy(637),flip(a)].
% 82.37/82.65  639 earray_21 = store(earray_18,elem_19,elem_20) # label(hyp3) # label(hypothesis).  [assumption].
% 82.37/82.65  640 store(earray_18,elem_19,elem_20) = earray_21.  [copy(639),flip(a)].
% 82.37/82.65  641 earray_24 = store(earray_21,elem_22,elem_23) # label(hyp4) # label(hypothesis).  [assumption].
% 82.37/82.65  642 store(earray_21,elem_22,elem_23) = earray_24.  [copy(641),flip(a)].
% 82.37/82.65  643 earray_27 = store(earray_24,elem_25,elem_26) # label(hyp5) # label(hypothesis).  [assumption].
% 82.37/82.65  644 store(earray_24,elem_25,elem_26) = earray_27.  [copy(643),flip(a)].
% 82.37/82.65  645 earray_3 = store(a,elem_0,elem_2) # label(hyp6) # label(hypothesis).  [assumption].
% 82.37/82.65  646 store(a,elem_0,elem_2) = earray_3.  [copy(645),flip(a)].
% 82.37/82.65  647 earray_30 = store(earray_27,elem_28,elem_29) # label(hyp7) # label(hypothesis).  [assumption].
% 82.37/82.65  648 store(earray_27,elem_28,elem_29) = earray_30.  [copy(647),flip(a)].
% 82.37/82.65  649 earray_33 = store(earray_30,elem_31,elem_32) # label(hyp8) # label(hypothesis).  [assumption].
% 82.37/82.65  650 store(earray_30,elem_31,elem_32) = earray_33.  [copy(649),flip(a)].
% 82.37/82.65  651 earray_36 = store(earray_33,elem_34,elem_35) # label(hyp9) # label(hypothesis).  [assumption].
% 82.37/82.65  652 store(earray_33,elem_34,elem_35) = earray_36.  [copy(651),flip(a)].
% 82.37/82.65  653 earray_39 = store(earray_36,elem_37,elem_38) # label(hyp10) # label(hypothesis).  [assumption].
% 82.37/82.65  654 store(earray_36,elem_37,elem_38) = earray_39.  [copy(653),flip(a)].
% 82.37/82.65  655 earray_42 = store(earray_39,elem_40,elem_41) # label(hyp11) # label(hypothesis).  [assumption].
% 82.37/82.65  656 store(earray_39,elem_40,elem_41) = earray_42.  [copy(655),flip(a)].
% 82.37/82.65  673 earray_6 = store(earray_3,elem_4,elem_5) # label(hyp20) # label(hypothesis).  [assumption].
% 82.37/82.65  674 store(earray_3,elem_4,elem_5) = earray_6.  [copy(673),flip(a)].
% 82.37/82.65  685 earray_71 = store(earray_69,i,elem_70) # label(hyp26) # label(hypothesis).  [assumption].
% 82.37/82.65  686 store(earray_69,i,elem_70) = earray_71.  [copy(685),flip(a)].
% 82.37/82.65  687 earray_9 = store(earray_6,elem_7,elem_8) # label(hyp27) # label(hypothesis).  [assumption].
% 82.37/82.65  688 store(earray_6,elem_7,elem_8) = earray_9.  [copy(687),flip(a)].
% 82.37/82.65  689 elem_0 = s(i) # label(hyp28) # label(hypothesis).  [assumption].
% 82.37/82.65  690 s(i) = elem_0.  [copy(689),flip(a)].
% 82.37/82.65  691 elem_1 = select(a,i) # label(hyp29) # label(hypothesis).  [assumption].
% 82.37/82.65  692 select(a,i) = elem_1.  [copy(691),flip(a)].
% 82.37/82.65  693 elem_10 = s(elem_7) # label(hyp30) # label(hypothesis).  [assumption].
% 82.37/82.65  694 s(elem_7) = elem_10.  [copy(693),flip(a)].
% 82.37/82.65  695 elem_11 = s(elem_8) # label(hyp31) # label(hypothesis).  [assumption].
% 82.37/82.65  696 s(elem_8) = elem_11.  [copy(695),flip(a)].
% 82.37/82.65  697 elem_13 = s(elem_10) # label(hyp32) # label(hypothesis).  [assumption].
% 82.37/82.65  698 s(elem_10) = elem_13.  [copy(697),flip(a)].
% 82.37/82.65  699 elem_14 = s(elem_11) # label(hyp33) # label(hypothesis).  [assumption].
% 82.37/82.65  700 s(elem_11) = elem_14.  [copy(699),flip(a)].
% 82.37/82.65  701 elem_16 = s(elem_13) # label(hyp34) # label(hypothesis).  [assumption].
% 82.37/82.65  702 s(elem_13) = elem_16.  [copy(701),flip(a)].
% 82.37/82.65  703 elem_17 = s(elem_14) # label(hyp35) # label(hypothesis).  [assumption].
% 82.37/82.65  704 s(elem_14) = elem_17.  [copy(703),flip(a)].
% 82.37/82.65  705 elem_19 = s(elem_16) # label(hyp36) # label(hypothesis).  [assumption].
% 82.37/82.65  706 s(elem_16) = elem_19.  [copy(705),flip(a)].
% 82.37/82.65  707 elem_2 = s(elem_1) # label(hyp37) # label(hypothesis).  [assumption].
% 82.37/82.65  708 s(elem_1) = elem_2.  [copy(707),flip(a)].
% 82.37/82.65  709 elem_20 = s(elem_17) # label(hyp38) # label(hypothesis).  [assumption].
% 82.37/82.65  710 s(elem_17) = elem_20.  [copy(709),flip(a)].
% 82.37/82.65  711 elem_22 = s(elem_19) # label(hyp39) # label(hypothesis).  [assumption].
% 82.37/82.65  712 s(elem_19) = elem_22.  [copy(711),flip(a)].
% 82.37/82.65  713 elem_23 = s(elem_20) # label(hyp40) # label(hypothesis).  [assumption].
% 82.37/82.65  714 s(elem_20) = elem_23.  [copy(713),flip(a)].
% 82.37/82.65  715 elem_25 = s(elem_22) # label(hyp41) # label(hypothesis).  [assumption].
% 82.37/82.65  716 s(elem_22) = elem_25.  [copy(715),flip(a)].
% 82.37/82.65  717 elem_26 = s(elem_23) # label(hyp42) # label(hypothesis).  [assumption].
% 82.37/82.65  718 s(elem_23) = elem_26.  [copy(717),flip(a)].
% 82.37/82.65  719 elem_28 = s(elem_25) # label(hyp43) # label(hypothesis).  [assumption].
% 82.37/82.65  720 s(elem_25) = elem_28.  [copy(719),flip(a)].
% 82.37/82.65  721 elem_29 = s(elem_26) # label(hyp44) # label(hypothesis).  [assumption].
% 82.37/82.65  722 s(elem_26) = elem_29.  [copy(721),flip(a)].
% 82.37/82.65  723 elem_31 = s(elem_28) # label(hyp45) # label(hypothesis).  [assumption].
% 82.37/82.65  724 s(elem_28) = elem_31.  [copy(723),flip(a)].
% 82.37/82.65  725 elem_32 = s(elem_29) # label(hyp46) # label(hypothesis).  [assumption].
% 82.37/82.65  726 s(elem_29) = elem_32.  [copy(725),flip(a)].
% 82.37/82.65  727 elem_34 = s(elem_31) # label(hyp47) # label(hypothesis).  [assumption].
% 82.37/82.65  728 s(elem_31) = elem_34.  [copy(727),flip(a)].
% 82.37/82.65  729 elem_35 = s(elem_32) # label(hyp48) # label(hypothesis).  [assumption].
% 82.37/82.65  730 s(elem_32) = elem_35.  [copy(729),flip(a)].
% 82.37/82.65  731 elem_37 = s(elem_34) # label(hyp49) # label(hypothesis).  [assumption].
% 82.37/82.65  732 s(elem_34) = elem_37.  [copy(731),flip(a)].
% 82.37/82.65  733 elem_38 = s(elem_35) # label(hyp50) # label(hypothesis).  [assumption].
% 82.37/82.65  734 s(elem_35) = elem_38.  [copy(733),flip(a)].
% 82.37/82.65  735 elem_4 = s(elem_0) # label(hyp51) # label(hypothesis).  [assumption].
% 82.37/82.65  736 s(elem_0) = elem_4.  [copy(735),flip(a)].
% 82.37/82.65  737 elem_40 = s(elem_37) # label(hyp52) # label(hypothesis).  [assumption].
% 82.37/82.65  738 s(elem_37) = elem_40.  [copy(737),flip(a)].
% 82.37/82.65  739 elem_41 = s(elem_38) # label(hyp53) # label(hypothesis).  [assumption].
% 82.37/82.65  740 s(elem_38) = elem_41.  [copy(739),flip(a)].
% 82.37/82.65  743 s(elem_44) = elem_43 # label(hyp55) # label(hypothesis).  [assumption].
% 82.37/82.65  744 s(elem_46) = elem_44 # label(hyp56) # label(hypothesis).  [assumption].
% 82.37/82.65  745 s(elem_48) = elem_46 # label(hyp57) # label(hypothesis).  [assumption].
% 82.37/82.65  746 elem_5 = s(elem_2) # label(hyp58) # label(hypothesis).  [assumption].
% 82.37/82.65  747 s(elem_2) = elem_5.  [copy(746),flip(a)].
% 82.37/82.65  748 s(elem_50) = elem_48 # label(hyp59) # label(hypothesis).  [assumption].
% 82.37/82.65  749 s(elem_52) = elem_50 # label(hyp60) # label(hypothesis).  [assumption].
% 82.37/82.65  750 s(elem_54) = elem_52 # label(hyp61) # label(hypothesis).  [assumption].
% 82.37/82.65  751 s(elem_56) = elem_54 # label(hyp62) # label(hypothesis).  [assumption].
% 82.37/82.65  752 s(elem_58) = elem_56 # label(hyp63) # label(hypothesis).  [assumption].
% 82.37/82.65  753 s(elem_60) = elem_58 # label(hyp64) # label(hypothesis).  [assumption].
% 82.37/82.65  754 s(elem_62) = elem_60 # label(hyp65) # label(hypothesis).  [assumption].
% 82.37/82.65  755 s(elem_64) = elem_62 # label(hyp66) # label(hypothesis).  [assumption].
% 82.37/82.65  756 s(elem_66) = elem_64 # label(hyp67) # label(hypothesis).  [assumption].
% 82.37/82.65  757 s(elem_68) = elem_66 # label(hyp68) # label(hypothesis).  [assumption].
% 82.37/82.65  758 elem_7 = s(elem_4) # label(hyp69) # label(hypothesis).  [assumption].
% 82.37/82.65  759 s(elem_4) = elem_7.  [copy(758),flip(a)].
% 82.37/82.65  760 s(elem_70) = elem_68 # label(hyp70) # label(hypothesis).  [assumption].
% 82.37/82.65  761 elem_8 = s(elem_5) # label(hyp71) # label(hypothesis).  [assumption].
% 82.37/82.65  762 s(elem_5) = elem_8.  [copy(761),flip(a)].
% 82.37/82.65  763 earray_42 = earray_71 # label(hyp72) # label(hypothesis).  [assumption].
% 82.37/82.65  764 earray_71 = earray_42.  [copy(763),flip(a)].
% 82.37/82.65  765 elem_41 != elem_43 # label(goal) # label(negated_conjecture).  [assumption].
% 82.37/82.65  766 elem_43 != elem_41.  [copy(765),flip(a)].
% 82.37/82.65  767 store(earray_69,i,elem_70) = earray_42.  [back_rewrite(686),rewrite([764(5)])].
% 82.37/82.65  772 elem_10 = A | select(earray_9,A) = select(earray_12,A).  [para(634(a,1),2(b,1,1)),flip(b)].
% 82.37/82.65  774 elem_13 = A | select(earray_15,A) = select(earray_12,A).  [para(636(a,1),2(b,1,1))].
% 82.37/82.65  776 elem_16 = A | select(earray_18,A) = select(earray_15,A).  [para(638(a,1),2(b,1,1))].
% 82.37/82.65  778 elem_19 = A | select(earray_21,A) = select(earray_18,A).  [para(640(a,1),2(b,1,1))].
% 82.37/82.65  780 elem_22 = A | select(earray_24,A) = select(earray_21,A).  [para(642(a,1),2(b,1,1))].
% 82.37/82.65  782 elem_25 = A | select(earray_27,A) = select(earray_24,A).  [para(644(a,1),2(b,1,1))].
% 82.37/82.65  784 elem_0 = A | select(earray_3,A) = select(a,A).  [para(646(a,1),2(b,1,1))].
% 82.37/82.65  786 elem_28 = A | select(earray_30,A) = select(earray_27,A).  [para(648(a,1),2(b,1,1))].
% 82.37/82.65  788 elem_31 = A | select(earray_33,A) = select(earray_30,A).  [para(650(a,1),2(b,1,1))].
% 82.37/82.65  790 elem_34 = A | select(earray_36,A) = select(earray_33,A).  [para(652(a,1),2(b,1,1))].
% 82.37/82.65  792 elem_37 = A | select(earray_39,A) = select(earray_36,A).  [para(654(a,1),2(b,1,1))].
% 82.37/82.65  794 elem_40 = A | select(earray_42,A) = select(earray_39,A).  [para(656(a,1),2(b,1,1))].
% 82.37/82.65  812 elem_4 = A | select(earray_6,A) = select(earray_3,A).  [para(674(a,1),2(b,1,1))].
% 82.37/82.65  824 elem_7 = A | select(earray_9,A) = select(earray_6,A).  [para(688(a,1),2(b,1,1))].
% 82.37/82.65  1022 i != elem_40.  [para(690(a,1),619(a,1,1,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2),720(2),724(2),728(2),732(2),738(2)]),flip(a)].
% 82.37/82.65  1023 i != elem_37.  [para(690(a,1),620(a,1,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2),720(2),724(2),728(2),732(2)]),flip(a)].
% 82.37/82.65  1024 i != elem_34.  [para(690(a,1),621(a,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2),720(2),724(2),728(2)]),flip(a)].
% 82.37/82.65  1025 i != elem_31.  [para(690(a,1),622(a,1,1,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2),720(2),724(2)]),flip(a)].
% 82.37/82.65  1026 i != elem_28.  [para(690(a,1),623(a,1,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2),720(2)]),flip(a)].
% 82.37/82.65  1027 i != elem_25.  [para(690(a,1),624(a,1,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2),716(2)]),flip(a)].
% 82.37/82.65  1028 i != elem_22.  [para(690(a,1),625(a,1,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2),712(2)]),flip(a)].
% 82.37/82.65  1029 i != elem_19.  [para(690(a,1),626(a,1,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2),706(2)]),flip(a)].
% 82.37/82.65  1030 i != elem_16.  [para(690(a,1),627(a,1,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2),702(2)]),flip(a)].
% 82.37/82.65  1031 i != elem_13.  [para(690(a,1),628(a,1,1,1,1,1)),rewrite([736(2),759(2),694(2),698(2)]),flip(a)].
% 82.37/82.65  1032 i != elem_10.  [para(690(a,1),629(a,1,1,1,1)),rewrite([736(2),759(2),694(2)]),flip(a)].
% 82.37/82.65  1033 i != elem_7.  [para(690(a,1),630(a,1,1,1)),rewrite([736(2),759(2)]),flip(a)].
% 82.37/82.65  1034 i != elem_4.  [para(690(a,1),631(a,1,1)),rewrite([736(2)]),flip(a)].
% 82.37/82.65  1035 i != elem_0.  [para(690(a,1),632(a,1)),flip(a)].
% 82.37/82.65  6998 select(earray_42,i) = elem_70.  [para(767(a,1),1(a,1,1))].
% 82.37/82.65  7245 select(earray_3,i) = elem_1.  [para(692(a,1),784(b,2)),flip(a),unit_del(a,1035)].
% 82.37/82.65  7361 select(earray_39,i) = elem_70.  [para(794(b,1),6998(a,1)),flip(a),unit_del(a,1022)].
% 82.37/82.65  7426 select(earray_36,i) = elem_70.  [para(7361(a,1),792(b,1)),flip(a),flip(b),unit_del(a,1023)].
% 82.37/82.65  7509 select(earray_33,i) = elem_70.  [para(7426(a,1),790(b,1)),flip(a),flip(b),unit_del(a,1024)].
% 82.37/82.65  7566 select(earray_6,i) = elem_1.  [para(7245(a,1),812(b,2)),flip(a),unit_del(a,1034)].
% 82.37/82.65  7603 select(earray_30,i) = elem_70.  [para(7509(a,1),788(b,1)),flip(a),flip(b),unit_del(a,1025)].
% 82.37/82.65  7701 select(earray_9,i) = elem_1.  [para(7566(a,1),824(b,2)),flip(a),unit_del(a,1033)].
% 82.37/82.65  7713 select(earray_27,i) = elem_70.  [para(7603(a,1),786(b,1)),flip(a),flip(b),unit_del(a,1026)].
% 82.37/82.65  7786 select(earray_12,i) = elem_1.  [para(7701(a,1),772(b,1)),flip(a),flip(b),unit_del(a,1032)].
% 82.37/82.65  7798 select(earray_24,i) = elem_70.  [para(7713(a,1),782(b,1)),flip(a),flip(b),unit_del(a,1027)].
% 82.37/82.65  7861 select(earray_15,i) = elem_1.  [para(7786(a,1),774(b,2)),flip(a),unit_del(a,1031)].
% 82.37/82.65  7873 select(earray_21,i) = elem_70.  [para(7798(a,1),780(b,1)),flip(a),flip(b),unit_del(a,1028)].
% 82.37/82.65  7931 select(earray_18,i) = elem_1.  [para(7861(a,1),776(b,2)),flip(a),unit_del(a,1030)].
% 82.37/82.65  7943 elem_70 = elem_1.  [para(7873(a,1),778(b,1)),rewrite([7931(7)]),flip(a),unit_del(a,1029)].
% 82.37/82.65  8057 elem_68 = elem_2.  [back_rewrite(760),rewrite([7943(1),708(2)]),flip(a)].
% 82.37/82.65  8144 elem_66 = elem_5.  [back_rewrite(757),rewrite([8057(1),747(2)]),flip(a)].
% 82.37/82.65  8235 elem_8 = elem_64.  [back_rewrite(756),rewrite([8144(1),762(2)])].
% 82.37/82.65  8366 elem_62 = elem_11.  [back_rewrite(696),rewrite([8235(1),755(2)])].
% 82.37/82.65  8464 elem_60 = elem_14.  [back_rewrite(754),rewrite([8366(1),700(2)]),flip(a)].
% 82.37/82.65  8561 elem_58 = elem_17.  [back_rewrite(753),rewrite([8464(1),704(2)]),flip(a)].
% 82.37/82.65  8661 elem_56 = elem_20.  [back_rewrite(752),rewrite([8561(1),710(2)]),flip(a)].
% 82.37/82.65  8760 elem_54 = elem_23.  [back_rewrite(751),rewrite([8661(1),714(2)]),flip(a)].
% 82.37/82.65  8859 elem_52 = elem_26.  [back_rewrite(750),rewrite([8760(1),718(2)]),flip(a)].
% 82.37/82.65  8961 elem_50 = elem_29.  [back_rewrite(749),rewrite([8859(1),722(2)]),flip(a)].
% 82.37/82.65  9062 elem_48 = elem_32.  [back_rewrite(748),rewrite([8961(1),726(2)]),flip(a)].
% 82.37/82.65  9163 elem_46 = elem_35.  [back_rewrite(745),rewrite([9062(1),730(2)]),flip(a)].
% 82.37/82.65  9263 elem_44 = elem_38.  [back_rewrite(744),rewrite([9163(1),734(2)]),flip(a)].
% 82.37/82.65  9366 $F.  [back_rewrite(743),rewrite([9263(1),740(2)]),flip(a),unit_del(a,766)].
% 82.37/82.65  
% 82.37/82.65  % SZS output end Refutation
% 82.37/82.65  ============================== end of proof ==========================
% 82.37/82.65  
% 82.37/82.65  ============================== STATISTICS ============================
% 82.37/82.65  
% 82.37/82.65  Given=1108. Generated=30951. Kept=9305. proofs=1.
% 82.37/82.65  Usable=984. Sos=6351. Demods=266. Limbo=103, Disabled=2573. Hints=0.
% 82.37/82.65  Megabytes=31.87.
% 82.37/82.65  User_CPU=76.39, System_CPU=0.05, Wall_clock=76.
% 82.37/82.65  
% 82.37/82.65  ============================== end of statistics =====================
% 82.37/82.65  
% 82.37/82.65  ============================== end of search =========================
% 82.37/82.65  
% 82.37/82.65  THEOREM PROVED
% 82.37/82.65  % SZS status Unsatisfiable
% 82.37/82.65  
% 82.37/82.65  Exiting with 1 proof.
% 82.37/82.65  
% 82.37/82.65  Process 30091 exit (max_proofs) Thu Jun 16 04:45:42 2022
% 82.37/82.65  Prover9 interrupted
%------------------------------------------------------------------------------