TSTP Solution File: SWV567-1.015 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n026.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 135.18s 135.55s
% Output   : Refutation 135.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.37  % Computer : n026.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Wed Jun 15 13:24:37 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 32.11/32.41  ============================== Prover9 ===============================
% 32.11/32.41  Prover9 (32) version 2009-11A, November 2009.
% 32.11/32.41  Process 6944 was started by sandbox on n026.cluster.edu,
% 32.11/32.41  Wed Jun 15 13:24:45 2022
% 32.11/32.41  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_6791_n026.cluster.edu".
% 32.11/32.41  ============================== end of head ===========================
% 32.11/32.41  
% 32.11/32.41  ============================== INPUT =================================
% 32.11/32.41  
% 32.11/32.41  % Reading from file /tmp/Prover9_6791_n026.cluster.edu
% 32.11/32.41  
% 32.11/32.41  set(prolog_style_variables).
% 32.11/32.41  set(auto2).
% 32.11/32.41      % set(auto2) -> set(auto).
% 32.11/32.41      % set(auto) -> set(auto_inference).
% 32.11/32.41      % set(auto) -> set(auto_setup).
% 32.11/32.41      % set(auto_setup) -> set(predicate_elim).
% 32.11/32.41      % set(auto_setup) -> assign(eq_defs, unfold).
% 32.11/32.41      % set(auto) -> set(auto_limits).
% 32.11/32.41      % set(auto_limits) -> assign(max_weight, "100.000").
% 32.11/32.41      % set(auto_limits) -> assign(sos_limit, 20000).
% 32.11/32.41      % set(auto) -> set(auto_denials).
% 32.11/32.41      % set(auto) -> set(auto_process).
% 32.11/32.41      % set(auto2) -> assign(new_constants, 1).
% 32.11/32.41      % set(auto2) -> assign(fold_denial_max, 3).
% 32.11/32.42      % set(auto2) -> assign(max_weight, "200.000").
% 32.11/32.42      % set(auto2) -> assign(max_hours, 1).
% 32.11/32.42      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 32.11/32.42      % set(auto2) -> assign(max_seconds, 0).
% 32.11/32.42      % set(auto2) -> assign(max_minutes, 5).
% 32.11/32.42      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 32.11/32.42      % set(auto2) -> set(sort_initial_sos).
% 32.11/32.42      % set(auto2) -> assign(sos_limit, -1).
% 32.11/32.42      % set(auto2) -> assign(lrs_ticks, 3000).
% 32.11/32.42      % set(auto2) -> assign(max_megs, 400).
% 32.11/32.42      % set(auto2) -> assign(stats, some).
% 32.11/32.42      % set(auto2) -> clear(echo_input).
% 32.11/32.42      % set(auto2) -> set(quiet).
% 32.11/32.42      % set(auto2) -> clear(print_initial_clauses).
% 32.11/32.42      % set(auto2) -> clear(print_given).
% 32.11/32.42  assign(lrs_ticks,-1).
% 32.11/32.42  assign(sos_limit,10000).
% 32.11/32.42  assign(order,kbo).
% 32.11/32.42  set(lex_order_vars).
% 32.11/32.42  clear(print_given).
% 32.11/32.42  
% 32.11/32.42  % formulas(sos).  % not echoed (801 formulas)
% 32.11/32.42  
% 32.11/32.42  ============================== end of input ==========================
% 32.11/32.42  
% 32.11/32.42  % From the command line: assign(max_seconds, 300).
% 32.11/32.42  
% 32.11/32.42  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 32.11/32.42  
% 32.11/32.42  % Formulas that are not ordinary clauses:
% 32.11/32.42  
% 32.11/32.42  ============================== end of process non-clausal formulas ===
% 32.11/32.42  
% 32.11/32.42  ============================== PROCESS INITIAL CLAUSES ===============
% 32.11/32.42  
% 32.11/32.42  ============================== PREDICATE ELIMINATION =================
% 32.11/32.42  
% 32.11/32.42  ============================== end predicate elimination =============
% 32.11/32.42  
% 32.11/32.42  Auto_denials:  (non-Horn, no changes).
% 32.11/32.42  
% 32.11/32.42  Term ordering decisions:
% 32.11/32.42  
% 32.11/32.42  % Assigning unary symbol s kb_weight 0 and highest precedence (83).
% 32.11/32.42  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_40=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_41=1. elem_43=1. elem_47=1. elem_49=1. elem_5=1. elem_51=1. elem_53=1. elem_55=1. elem_57=1. elem_59=1. elem_61=1. elem_63=1. elem_65=1. elem_67=1. elem_69=1. elem_71=1. elem_73=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_48=1. earray_50=1. earray_52=1. earray_54=1. earray_56=1. earray_58=1. earray_6=1. earray_60=1. earray_62=1. earray_64=1. earray_66=1. earray_68=1. earray_70=1. earray_72=1. earray_74=1. earray_76=1. earray_9=1. elem_1=1. elem_44=1. elem_46=1. elem_75=1. select=1. store=1. s=0.
% 32.11/32.42  
% 32.11/32.42  ============================== end of process initial clauses ========
% 32.11/32.42  
% 32.11/32.42  ============================== CLAUSES FOR SEARCH ====================
% 32.11/32.42  
% 32.11/32.42  ============================== end of clauses for search =============
% 32.11/32.42  
% 32.11/32.42  ============================== SEARCH ================================
% 32.11/32.42  
% 32.11/32.42  % Starting search at 4.01 seconds.
% 32.11/32.42  
% 32.11/32.42  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 4.77 sec).
% 32.11/32.42  
% 32.11/32.42  Low Water (keep): wt=200.000, iters=3757
% 32.11/32.42  
% 32.11/32.42  Low Water (keep): wt=199.000, iters=3739
% 32.11/32.42  
% 32.11/32.42  Low Water (keep): wt=198.000, iters=3721
% 32.11/32.42  
% 32.11/32.42  Low Water (keep): wt=197.000, iters=3703
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=196.000, iters=3685
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=195.000, iters=3667
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=194.000, iters=3648
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=193.000, iters=3630
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=192.000, iters=3612
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=191.000, iters=3594
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=190.000, iters=3576
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=189.000, iters=3558
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=188.000, iters=3539
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=187.000, iters=3521
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=186.000, iters=3503
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=185.000, iters=3485
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=184.000, iters=3467
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=183.000, iters=3449
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=182.000, iters=3430
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=181.000, iters=3412
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=180.000, iters=3394
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=179.000, iters=3376
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=178.000, iters=3358
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=177.000, iters=3340
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=176.000, iters=3521
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=175.000, iters=3502
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=174.000, iters=3482
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=173.000, iters=3463
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=172.000, iters=3444
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=171.000, iters=3424
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=170.000, iters=3405
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=169.000, iters=3386
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=168.000, iters=3367
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=167.000, iters=3347
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=166.000, iters=3516
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=165.000, iters=3496
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=164.000, iters=3475
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=163.000, iters=3455
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=162.000, iters=3435
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=161.000, iters=3414
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=160.000, iters=3394
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=159.000, iters=3373
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=158.000, iters=3353
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=157.000, iters=3333
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=156.000, iters=3488
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=155.000, iters=3467
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=154.000, iters=3445
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=153.000, iters=3424
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=152.000, iters=3402
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=151.000, iters=3381
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=150.000, iters=3359
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=149.000, iters=3337
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=148.000, iters=3483
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=147.000, iters=3460
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=146.000, iters=3438
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=145.000, iters=3415
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=144.000, iters=3392
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=143.000, iters=3370
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=142.000, iters=3347
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=141.000, iters=3482
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=140.000, iters=3459
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=139.000, iters=3435
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=138.000, iters=3411
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=137.000, iters=3387
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=136.000, iters=3364
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=135.000, iters=3340
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=134.000, iters=3466
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=133.000, iters=3441
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=132.000, iters=3416
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=131.000, iters=3392
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=130.000, iters=3367
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=129.000, iters=3342
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=128.000, iters=3473
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=127.000, iters=3447
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=126.000, iters=3421
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=125.000, iters=3395
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=124.000, iters=3369
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=123.000, iters=3343
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=122.000, iters=3452
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=121.000, iters=3425
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=120.000, iters=3398
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=119.000, iters=3371
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=118.000, iters=3344
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=117.000, iters=3447
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=116.000, iters=3418
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=115.000, iters=3390
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=114.000, iters=3362
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=113.000, iters=3333
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=112.000, iters=3428
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=111.000, iters=3399
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=110.000, iters=3370
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=109.000, iters=3340
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=108.000, iters=3429
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=107.000, iters=3398
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=106.000, iters=3368
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=105.000, iters=3337
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=104.000, iters=3421
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=103.000, iters=3390
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=102.000, iters=3358
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=101.000, iters=3438
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=100.000, iters=3406
% 38.10/38.44  
% 38.10/38.44  Low Water (keep): wt=99.000, iters=3373
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=98.000, iters=3340
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=97.000, iters=3428
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=96.000, iters=3395
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=95.000, iters=3361
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=94.000, iters=3432
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=93.000, iters=3397
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=92.000, iters=3362
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=91.000, iters=3430
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=90.000, iters=3394
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=89.000, iters=3358
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=88.000, iters=3423
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=87.000, iters=3385
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=86.000, iters=3348
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=85.000, iters=3409
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=84.000, iters=3371
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=83.000, iters=3333
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=82.000, iters=3391
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=81.000, iters=3351
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=80.000, iters=3407
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=79.000, iters=3366
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=78.000, iters=3420
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=77.000, iters=3378
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=76.000, iters=3336
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=75.000, iters=3386
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=74.000, iters=3344
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=73.000, iters=3391
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=72.000, iters=3347
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=71.000, iters=3393
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=70.000, iters=3348
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=69.000, iters=3391
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=68.000, iters=3345
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=67.000, iters=3385
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=66.000, iters=3338
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=65.000, iters=3376
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=64.000, iters=3412
% 135.18/135.55  
% 135.18/135.55  Low Water (keep): wt=63.000, iters=3363
% 135.18/135.55  
% 135.18/135.55  ============================== PROOF =================================
% 135.18/135.55  % SZS status Unsatisfiable
% 135.18/135.55  % SZS output start Refutation
% 135.18/135.55  
% 135.18/135.55  % Proof 1 at 127.29 (+ 0.06) seconds.
% 135.18/135.55  % Length of proof is 192.
% 135.18/135.55  % Level of proof is 27.
% 135.18/135.55  % Maximum clause weight is 18.000.
% 135.18/135.55  % Given clauses 1269.
% 135.18/135.55  
% 135.18/135.55  1 select(store(A,B,C),B) = C # label(a1) # label(axiom).  [assumption].
% 135.18/135.55  2 A = B | select(store(C,A,D),B) = select(C,B) # label(a2) # label(axiom).  [assumption].
% 135.18/135.55  708 s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(A))))))))))))))) != A # label(as15) # label(axiom).  [assumption].
% 135.18/135.55  709 s(s(s(s(s(s(s(s(s(s(s(s(s(s(A)))))))))))))) != A # label(as14) # label(axiom).  [assumption].
% 135.18/135.55  710 s(s(s(s(s(s(s(s(s(s(s(s(s(A))))))))))))) != A # label(as13) # label(axiom).  [assumption].
% 135.18/135.55  711 s(s(s(s(s(s(s(s(s(s(s(s(A)))))))))))) != A # label(as12) # label(axiom).  [assumption].
% 135.18/135.55  712 s(s(s(s(s(s(s(s(s(s(s(A))))))))))) != A # label(as11) # label(axiom).  [assumption].
% 135.18/135.55  713 s(s(s(s(s(s(s(s(s(s(A)))))))))) != A # label(as10) # label(axiom).  [assumption].
% 135.18/135.55  714 s(s(s(s(s(s(s(s(s(A))))))))) != A # label(as9) # label(axiom).  [assumption].
% 135.18/135.55  715 s(s(s(s(s(s(s(s(A)))))))) != A # label(as8) # label(axiom).  [assumption].
% 135.18/135.55  716 s(s(s(s(s(s(s(A))))))) != A # label(as7) # label(axiom).  [assumption].
% 135.18/135.55  717 s(s(s(s(s(s(A)))))) != A # label(as6) # label(axiom).  [assumption].
% 135.18/135.55  718 s(s(s(s(s(A))))) != A # label(as5) # label(axiom).  [assumption].
% 135.18/135.55  719 s(s(s(s(A)))) != A # label(as4) # label(axiom).  [assumption].
% 135.18/135.55  720 s(s(s(A))) != A # label(as3) # label(axiom).  [assumption].
% 135.18/135.55  721 s(s(A)) != A # label(as2) # label(axiom).  [assumption].
% 135.18/135.55  722 s(A) != A # label(as1) # label(axiom).  [assumption].
% 135.18/135.55  723 earray_12 = store(earray_9,elem_10,elem_11) # label(hyp0) # label(hypothesis).  [assumption].
% 135.18/135.55  724 store(earray_9,elem_10,elem_11) = earray_12.  [copy(723),flip(a)].
% 135.18/135.55  725 earray_15 = store(earray_12,elem_13,elem_14) # label(hyp1) # label(hypothesis).  [assumption].
% 135.18/135.55  726 store(earray_12,elem_13,elem_14) = earray_15.  [copy(725),flip(a)].
% 135.18/135.55  727 earray_18 = store(earray_15,elem_16,elem_17) # label(hyp2) # label(hypothesis).  [assumption].
% 135.18/135.55  728 store(earray_15,elem_16,elem_17) = earray_18.  [copy(727),flip(a)].
% 135.18/135.55  729 earray_21 = store(earray_18,elem_19,elem_20) # label(hyp3) # label(hypothesis).  [assumption].
% 135.18/135.55  730 store(earray_18,elem_19,elem_20) = earray_21.  [copy(729),flip(a)].
% 135.18/135.55  731 earray_24 = store(earray_21,elem_22,elem_23) # label(hyp4) # label(hypothesis).  [assumption].
% 135.18/135.55  732 store(earray_21,elem_22,elem_23) = earray_24.  [copy(731),flip(a)].
% 135.18/135.55  733 earray_27 = store(earray_24,elem_25,elem_26) # label(hyp5) # label(hypothesis).  [assumption].
% 135.18/135.55  734 store(earray_24,elem_25,elem_26) = earray_27.  [copy(733),flip(a)].
% 135.18/135.55  735 earray_3 = store(a,elem_0,elem_2) # label(hyp6) # label(hypothesis).  [assumption].
% 135.18/135.55  736 store(a,elem_0,elem_2) = earray_3.  [copy(735),flip(a)].
% 135.18/135.55  737 earray_30 = store(earray_27,elem_28,elem_29) # label(hyp7) # label(hypothesis).  [assumption].
% 135.18/135.55  738 store(earray_27,elem_28,elem_29) = earray_30.  [copy(737),flip(a)].
% 135.18/135.55  739 earray_33 = store(earray_30,elem_31,elem_32) # label(hyp8) # label(hypothesis).  [assumption].
% 135.18/135.55  740 store(earray_30,elem_31,elem_32) = earray_33.  [copy(739),flip(a)].
% 135.18/135.55  741 earray_36 = store(earray_33,elem_34,elem_35) # label(hyp9) # label(hypothesis).  [assumption].
% 135.18/135.55  742 store(earray_33,elem_34,elem_35) = earray_36.  [copy(741),flip(a)].
% 135.18/135.55  743 earray_39 = store(earray_36,elem_37,elem_38) # label(hyp10) # label(hypothesis).  [assumption].
% 135.18/135.55  744 store(earray_36,elem_37,elem_38) = earray_39.  [copy(743),flip(a)].
% 135.18/135.55  745 earray_42 = store(earray_39,elem_40,elem_41) # label(hyp11) # label(hypothesis).  [assumption].
% 135.18/135.55  746 store(earray_39,elem_40,elem_41) = earray_42.  [copy(745),flip(a)].
% 135.18/135.55  747 earray_45 = store(earray_42,elem_43,elem_44) # label(hyp12) # label(hypothesis).  [assumption].
% 135.18/135.55  748 store(earray_42,elem_43,elem_44) = earray_45.  [copy(747),flip(a)].
% 135.18/135.55  761 earray_6 = store(earray_3,elem_4,elem_5) # label(hyp19) # label(hypothesis).  [assumption].
% 135.18/135.55  762 store(earray_3,elem_4,elem_5) = earray_6.  [copy(761),flip(a)].
% 135.18/135.55  779 earray_76 = store(earray_74,i,elem_75) # label(hyp28) # label(hypothesis).  [assumption].
% 135.18/135.55  780 store(earray_74,i,elem_75) = earray_76.  [copy(779),flip(a)].
% 135.18/135.55  781 earray_9 = store(earray_6,elem_7,elem_8) # label(hyp29) # label(hypothesis).  [assumption].
% 135.18/135.55  782 store(earray_6,elem_7,elem_8) = earray_9.  [copy(781),flip(a)].
% 135.18/135.55  783 elem_0 = s(i) # label(hyp30) # label(hypothesis).  [assumption].
% 135.18/135.55  784 s(i) = elem_0.  [copy(783),flip(a)].
% 135.18/135.55  785 elem_1 = select(a,i) # label(hyp31) # label(hypothesis).  [assumption].
% 135.18/135.55  786 select(a,i) = elem_1.  [copy(785),flip(a)].
% 135.18/135.55  787 elem_10 = s(elem_7) # label(hyp32) # label(hypothesis).  [assumption].
% 135.18/135.55  788 s(elem_7) = elem_10.  [copy(787),flip(a)].
% 135.18/135.55  789 elem_11 = s(elem_8) # label(hyp33) # label(hypothesis).  [assumption].
% 135.18/135.55  790 s(elem_8) = elem_11.  [copy(789),flip(a)].
% 135.18/135.55  791 elem_13 = s(elem_10) # label(hyp34) # label(hypothesis).  [assumption].
% 135.18/135.55  792 s(elem_10) = elem_13.  [copy(791),flip(a)].
% 135.18/135.55  793 elem_14 = s(elem_11) # label(hyp35) # label(hypothesis).  [assumption].
% 135.18/135.55  794 s(elem_11) = elem_14.  [copy(793),flip(a)].
% 135.18/135.55  795 elem_16 = s(elem_13) # label(hyp36) # label(hypothesis).  [assumption].
% 135.18/135.55  796 s(elem_13) = elem_16.  [copy(795),flip(a)].
% 135.18/135.55  797 elem_17 = s(elem_14) # label(hyp37) # label(hypothesis).  [assumption].
% 135.18/135.55  798 s(elem_14) = elem_17.  [copy(797),flip(a)].
% 135.18/135.55  799 elem_19 = s(elem_16) # label(hyp38) # label(hypothesis).  [assumption].
% 135.18/135.55  800 s(elem_16) = elem_19.  [copy(799),flip(a)].
% 135.18/135.55  801 elem_2 = s(elem_1) # label(hyp39) # label(hypothesis).  [assumption].
% 135.18/135.55  802 s(elem_1) = elem_2.  [copy(801),flip(a)].
% 135.18/135.55  803 elem_20 = s(elem_17) # label(hyp40) # label(hypothesis).  [assumption].
% 135.18/135.55  804 s(elem_17) = elem_20.  [copy(803),flip(a)].
% 135.18/135.55  805 elem_22 = s(elem_19) # label(hyp41) # label(hypothesis).  [assumption].
% 135.18/135.55  806 s(elem_19) = elem_22.  [copy(805),flip(a)].
% 135.18/135.55  807 elem_23 = s(elem_20) # label(hyp42) # label(hypothesis).  [assumption].
% 135.18/135.55  808 s(elem_20) = elem_23.  [copy(807),flip(a)].
% 135.18/135.55  809 elem_25 = s(elem_22) # label(hyp43) # label(hypothesis).  [assumption].
% 135.18/135.55  810 s(elem_22) = elem_25.  [copy(809),flip(a)].
% 135.18/135.55  811 elem_26 = s(elem_23) # label(hyp44) # label(hypothesis).  [assumption].
% 135.18/135.55  812 s(elem_23) = elem_26.  [copy(811),flip(a)].
% 135.18/135.55  813 elem_28 = s(elem_25) # label(hyp45) # label(hypothesis).  [assumption].
% 135.18/135.55  814 s(elem_25) = elem_28.  [copy(813),flip(a)].
% 135.18/135.55  815 elem_29 = s(elem_26) # label(hyp46) # label(hypothesis).  [assumption].
% 135.18/135.55  816 s(elem_26) = elem_29.  [copy(815),flip(a)].
% 135.18/135.55  817 elem_31 = s(elem_28) # label(hyp47) # label(hypothesis).  [assumption].
% 135.18/135.55  818 s(elem_28) = elem_31.  [copy(817),flip(a)].
% 135.18/135.55  819 elem_32 = s(elem_29) # label(hyp48) # label(hypothesis).  [assumption].
% 135.18/135.55  820 s(elem_29) = elem_32.  [copy(819),flip(a)].
% 135.18/135.55  821 elem_34 = s(elem_31) # label(hyp49) # label(hypothesis).  [assumption].
% 135.18/135.55  822 s(elem_31) = elem_34.  [copy(821),flip(a)].
% 135.18/135.55  823 elem_35 = s(elem_32) # label(hyp50) # label(hypothesis).  [assumption].
% 135.18/135.55  824 s(elem_32) = elem_35.  [copy(823),flip(a)].
% 135.18/135.55  825 elem_37 = s(elem_34) # label(hyp51) # label(hypothesis).  [assumption].
% 135.18/135.55  826 s(elem_34) = elem_37.  [copy(825),flip(a)].
% 135.18/135.55  827 elem_38 = s(elem_35) # label(hyp52) # label(hypothesis).  [assumption].
% 135.18/135.55  828 s(elem_35) = elem_38.  [copy(827),flip(a)].
% 135.18/135.55  829 elem_4 = s(elem_0) # label(hyp53) # label(hypothesis).  [assumption].
% 135.18/135.55  830 s(elem_0) = elem_4.  [copy(829),flip(a)].
% 135.18/135.55  831 elem_40 = s(elem_37) # label(hyp54) # label(hypothesis).  [assumption].
% 135.18/135.55  832 s(elem_37) = elem_40.  [copy(831),flip(a)].
% 135.18/135.55  833 elem_41 = s(elem_38) # label(hyp55) # label(hypothesis).  [assumption].
% 135.18/135.55  834 s(elem_38) = elem_41.  [copy(833),flip(a)].
% 135.18/135.55  835 elem_43 = s(elem_40) # label(hyp56) # label(hypothesis).  [assumption].
% 135.18/135.55  836 s(elem_40) = elem_43.  [copy(835),flip(a)].
% 135.18/135.55  837 elem_44 = s(elem_41) # label(hyp57) # label(hypothesis).  [assumption].
% 135.18/135.55  838 s(elem_41) = elem_44.  [copy(837),flip(a)].
% 135.18/135.55  841 s(elem_47) = elem_46 # label(hyp59) # label(hypothesis).  [assumption].
% 135.18/135.55  842 s(elem_49) = elem_47 # label(hyp60) # label(hypothesis).  [assumption].
% 135.18/135.55  843 elem_5 = s(elem_2) # label(hyp61) # label(hypothesis).  [assumption].
% 135.18/135.55  844 s(elem_2) = elem_5.  [copy(843),flip(a)].
% 135.18/135.55  845 s(elem_51) = elem_49 # label(hyp62) # label(hypothesis).  [assumption].
% 135.18/135.55  846 s(elem_53) = elem_51 # label(hyp63) # label(hypothesis).  [assumption].
% 135.18/135.55  847 s(elem_55) = elem_53 # label(hyp64) # label(hypothesis).  [assumption].
% 135.18/135.55  848 s(elem_57) = elem_55 # label(hyp65) # label(hypothesis).  [assumption].
% 135.18/135.55  849 s(elem_59) = elem_57 # label(hyp66) # label(hypothesis).  [assumption].
% 135.18/135.55  850 s(elem_61) = elem_59 # label(hyp67) # label(hypothesis).  [assumption].
% 135.18/135.55  851 s(elem_63) = elem_61 # label(hyp68) # label(hypothesis).  [assumption].
% 135.18/135.55  852 s(elem_65) = elem_63 # label(hyp69) # label(hypothesis).  [assumption].
% 135.18/135.55  853 s(elem_67) = elem_65 # label(hyp70) # label(hypothesis).  [assumption].
% 135.18/135.55  854 s(elem_69) = elem_67 # label(hyp71) # label(hypothesis).  [assumption].
% 135.18/135.55  855 elem_7 = s(elem_4) # label(hyp72) # label(hypothesis).  [assumption].
% 135.18/135.55  856 s(elem_4) = elem_7.  [copy(855),flip(a)].
% 135.18/135.55  857 s(elem_71) = elem_69 # label(hyp73) # label(hypothesis).  [assumption].
% 135.18/135.55  858 s(elem_73) = elem_71 # label(hyp74) # label(hypothesis).  [assumption].
% 135.18/135.55  859 s(elem_75) = elem_73 # label(hyp75) # label(hypothesis).  [assumption].
% 135.18/135.55  860 elem_8 = s(elem_5) # label(hyp76) # label(hypothesis).  [assumption].
% 135.18/135.55  861 s(elem_5) = elem_8.  [copy(860),flip(a)].
% 135.18/135.55  862 earray_45 = earray_76 # label(hyp77) # label(hypothesis).  [assumption].
% 135.18/135.55  863 earray_76 = earray_45.  [copy(862),flip(a)].
% 135.18/135.55  864 elem_44 != elem_46 # label(goal) # label(negated_conjecture).  [assumption].
% 135.18/135.55  865 elem_46 != elem_44.  [copy(864),flip(a)].
% 135.18/135.55  866 store(earray_74,i,elem_75) = earray_45.  [back_rewrite(780),rewrite([863(5)])].
% 135.18/135.55  871 elem_10 = A | select(earray_9,A) = select(earray_12,A).  [para(724(a,1),2(b,1,1)),flip(b)].
% 135.18/135.55  873 elem_13 = A | select(earray_15,A) = select(earray_12,A).  [para(726(a,1),2(b,1,1))].
% 135.18/135.55  875 elem_16 = A | select(earray_18,A) = select(earray_15,A).  [para(728(a,1),2(b,1,1))].
% 135.18/135.55  877 elem_19 = A | select(earray_21,A) = select(earray_18,A).  [para(730(a,1),2(b,1,1))].
% 135.18/135.55  879 elem_22 = A | select(earray_24,A) = select(earray_21,A).  [para(732(a,1),2(b,1,1))].
% 135.18/135.55  881 elem_25 = A | select(earray_27,A) = select(earray_24,A).  [para(734(a,1),2(b,1,1))].
% 135.18/135.55  883 elem_0 = A | select(earray_3,A) = select(a,A).  [para(736(a,1),2(b,1,1))].
% 135.18/135.55  885 elem_28 = A | select(earray_30,A) = select(earray_27,A).  [para(738(a,1),2(b,1,1))].
% 135.18/135.55  887 elem_31 = A | select(earray_33,A) = select(earray_30,A).  [para(740(a,1),2(b,1,1))].
% 135.18/135.55  889 elem_34 = A | select(earray_36,A) = select(earray_33,A).  [para(742(a,1),2(b,1,1))].
% 135.18/135.55  891 elem_37 = A | select(earray_39,A) = select(earray_36,A).  [para(744(a,1),2(b,1,1))].
% 135.18/135.55  893 elem_40 = A | select(earray_42,A) = select(earray_39,A).  [para(746(a,1),2(b,1,1))].
% 135.18/135.55  895 elem_43 = A | select(earray_45,A) = select(earray_42,A).  [para(748(a,1),2(b,1,1))].
% 135.18/135.55  909 elem_4 = A | select(earray_6,A) = select(earray_3,A).  [para(762(a,1),2(b,1,1))].
% 135.18/135.55  927 elem_7 = A | select(earray_9,A) = select(earray_6,A).  [para(782(a,1),2(b,1,1))].
% 135.18/135.55  1125 i != elem_43.  [para(784(a,1),708(a,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2),818(2),822(2),826(2),832(2),836(2)]),flip(a)].
% 135.18/135.55  1126 i != elem_40.  [para(784(a,1),709(a,1,1,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2),818(2),822(2),826(2),832(2)]),flip(a)].
% 135.18/135.55  1127 i != elem_37.  [para(784(a,1),710(a,1,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2),818(2),822(2),826(2)]),flip(a)].
% 135.18/135.55  1128 i != elem_34.  [para(784(a,1),711(a,1,1,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2),818(2),822(2)]),flip(a)].
% 135.18/135.55  1129 i != elem_31.  [para(784(a,1),712(a,1,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2),818(2)]),flip(a)].
% 135.18/135.55  1130 i != elem_28.  [para(784(a,1),713(a,1,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2),814(2)]),flip(a)].
% 135.18/135.55  1131 i != elem_25.  [para(784(a,1),714(a,1,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2),810(2)]),flip(a)].
% 135.18/135.55  1132 i != elem_22.  [para(784(a,1),715(a,1,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2),806(2)]),flip(a)].
% 135.18/135.55  1133 i != elem_19.  [para(784(a,1),716(a,1,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2),800(2)]),flip(a)].
% 135.18/135.55  1134 i != elem_16.  [para(784(a,1),717(a,1,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2),796(2)]),flip(a)].
% 135.18/135.55  1135 i != elem_13.  [para(784(a,1),718(a,1,1,1,1,1)),rewrite([830(2),856(2),788(2),792(2)]),flip(a)].
% 135.18/135.55  1136 i != elem_10.  [para(784(a,1),719(a,1,1,1,1)),rewrite([830(2),856(2),788(2)]),flip(a)].
% 135.18/135.55  1137 i != elem_7.  [para(784(a,1),720(a,1,1,1)),rewrite([830(2),856(2)]),flip(a)].
% 135.18/135.55  1138 i != elem_4.  [para(784(a,1),721(a,1,1)),rewrite([830(2)]),flip(a)].
% 135.18/135.55  1139 i != elem_0.  [para(784(a,1),722(a,1)),flip(a)].
% 135.18/135.55  7309 select(earray_45,i) = elem_75.  [para(866(a,1),1(a,1,1))].
% 135.18/135.55  7558 select(earray_3,i) = elem_1.  [para(786(a,1),883(b,2)),flip(a),unit_del(a,1139)].
% 135.18/135.55  7697 select(earray_42,i) = elem_75.  [para(895(b,1),7309(a,1)),flip(a),unit_del(a,1125)].
% 135.18/135.55  7773 select(earray_39,i) = elem_75.  [para(7697(a,1),893(b,1)),flip(a),flip(b),unit_del(a,1126)].
% 135.18/135.55  7858 select(earray_6,i) = elem_1.  [para(7558(a,1),909(b,2)),flip(a),unit_del(a,1138)].
% 135.18/135.55  7866 select(earray_36,i) = elem_75.  [para(7773(a,1),891(b,1)),flip(a),flip(b),unit_del(a,1127)].
% 135.18/135.55  7980 select(earray_33,i) = elem_75.  [para(7866(a,1),889(b,1)),flip(a),flip(b),unit_del(a,1128)].
% 135.18/135.55  8061 select(earray_9,i) = elem_1.  [para(7858(a,1),927(b,2)),flip(a),unit_del(a,1137)].
% 135.18/135.55  8092 select(earray_30,i) = elem_75.  [para(7980(a,1),887(b,1)),flip(a),flip(b),unit_del(a,1129)].
% 135.18/135.55  8158 select(earray_12,i) = elem_1.  [para(8061(a,1),871(b,1)),flip(a),flip(b),unit_del(a,1136)].
% 135.18/135.55  8186 select(earray_27,i) = elem_75.  [para(8092(a,1),885(b,1)),flip(a),flip(b),unit_del(a,1130)].
% 135.18/135.55  8244 select(earray_15,i) = elem_1.  [para(8158(a,1),873(b,2)),flip(a),unit_del(a,1135)].
% 135.18/135.55  8271 select(earray_24,i) = elem_75.  [para(8186(a,1),881(b,1)),flip(a),flip(b),unit_del(a,1131)].
% 135.18/135.55  8322 select(earray_18,i) = elem_1.  [para(8244(a,1),875(b,2)),flip(a),unit_del(a,1134)].
% 135.18/135.55  8345 select(earray_21,i) = elem_75.  [para(8271(a,1),879(b,1)),flip(a),flip(b),unit_del(a,1132)].
% 135.18/135.55  8393 elem_75 = elem_1.  [para(8322(a,1),877(b,2)),rewrite([8345(6)]),flip(a),unit_del(a,1133)].
% 135.18/135.55  8504 elem_73 = elem_2.  [back_rewrite(859),rewrite([8393(1),802(2)]),flip(a)].
% 135.18/135.55  8585 elem_71 = elem_5.  [back_rewrite(858),rewrite([8504(1),844(2)]),flip(a)].
% 135.18/135.55  8672 elem_8 = elem_69.  [back_rewrite(857),rewrite([8585(1),861(2)])].
% 135.18/135.55  8800 elem_67 = elem_11.  [back_rewrite(790),rewrite([8672(1),854(2)])].
% 135.18/135.55  8894 elem_65 = elem_14.  [back_rewrite(853),rewrite([8800(1),794(2)]),flip(a)].
% 135.18/135.55  8990 elem_63 = elem_17.  [back_rewrite(852),rewrite([8894(1),798(2)]),flip(a)].
% 135.18/135.55  9086 elem_61 = elem_20.  [back_rewrite(851),rewrite([8990(1),804(2)]),flip(a)].
% 135.18/135.55  9185 elem_59 = elem_23.  [back_rewrite(850),rewrite([9086(1),808(2)]),flip(a)].
% 135.18/135.55  9283 elem_57 = elem_26.  [back_rewrite(849),rewrite([9185(1),812(2)]),flip(a)].
% 135.18/135.55  9381 elem_55 = elem_29.  [back_rewrite(848),rewrite([9283(1),816(2)]),flip(a)].
% 135.18/135.55  9482 elem_53 = elem_32.  [back_rewrite(847),rewrite([9381(1),820(2)]),flip(a)].
% 135.18/135.55  9582 elem_51 = elem_35.  [back_rewrite(846),rewrite([9482(1),824(2)]),flip(a)].
% 135.18/135.55  9682 elem_49 = elem_38.  [back_rewrite(845),rewrite([9582(1),828(2)]),flip(a)].
% 135.18/135.55  9781 elem_47 = elem_41.  [back_rewrite(842),rewrite([9682(1),834(2)]),flip(a)].
% 135.18/135.55  9884 $F.  [back_rewrite(841),rewrite([9781(1),838(2)]),flip(a),unit_del(a,865)].
% 135.18/135.55  
% 135.18/135.55  % SZS output end Refutation
% 135.18/135.55  ============================== end of proof ==========================
% 135.18/135.55  
% 135.18/135.55  ============================== STATISTICS ============================
% 135.18/135.55  
% 135.18/135.55  Given=1269. Generated=37321. Kept=9819. proofs=1.
% 135.18/135.55  Usable=1131. Sos=6651. Demods=303. Limbo=103, Disabled=2735. Hints=0.
% 135.18/135.55  Megabytes=35.51.
% 135.18/135.55  User_CPU=127.29, System_CPU=0.06, Wall_clock=127.
% 135.18/135.55  
% 135.18/135.55  ============================== end of statistics =====================
% 135.18/135.55  
% 135.18/135.55  ============================== end of search =========================
% 135.18/135.55  
% 135.18/135.55  THEOREM PROVED
% 135.18/135.55  % SZS status Unsatisfiable
% 135.18/135.55  
% 135.18/135.55  Exiting with 1 proof.
% 135.18/135.55  
% 135.18/135.55  Process 6944 exit (max_proofs) Wed Jun 15 13:26:52 2022
% 135.18/135.55  Prover9 interrupted
%------------------------------------------------------------------------------