TSTP Solution File: SWV547-1.010 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWV547-1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n021.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 20:13:37 EDT 2022

% Result   : Unsatisfiable 0.85s 1.02s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  177
% Syntax   : Number of formulae    :  364 ( 267 unt;  93 typ;   0 def)
%            Number of atoms       :  658 ( 461 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  822 (   6   ~;   9   |;   0   &; 807   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   96 (  93 usr;  92 con; 0-3 aty)
%            Number of variables   :   72 (   0   ^  72   !;   0   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a1,type,
    a1: $i ).

thf(tp_a_1296,type,
    a_1296: $i ).

thf(tp_a_1298,type,
    a_1298: $i ).

thf(tp_a_1300,type,
    a_1300: $i ).

thf(tp_a_1302,type,
    a_1302: $i ).

thf(tp_a_1304,type,
    a_1304: $i ).

thf(tp_a_1306,type,
    a_1306: $i ).

thf(tp_a_1308,type,
    a_1308: $i ).

thf(tp_a_1310,type,
    a_1310: $i ).

thf(tp_a_1312,type,
    a_1312: $i ).

thf(tp_a_1314,type,
    a_1314: $i ).

thf(tp_a_1316,type,
    a_1316: $i ).

thf(tp_a_1318,type,
    a_1318: $i ).

thf(tp_a_1320,type,
    a_1320: $i ).

thf(tp_a_1321,type,
    a_1321: $i ).

thf(tp_a_1323,type,
    a_1323: $i ).

thf(tp_a_1325,type,
    a_1325: $i ).

thf(tp_a_1327,type,
    a_1327: $i ).

thf(tp_a_1329,type,
    a_1329: $i ).

thf(tp_a_1331,type,
    a_1331: $i ).

thf(tp_a_1333,type,
    a_1333: $i ).

thf(tp_a_1334,type,
    a_1334: $i ).

thf(tp_a_1335,type,
    a_1335: $i ).

thf(tp_a_1337,type,
    a_1337: $i ).

thf(tp_a_1339,type,
    a_1339: $i ).

thf(tp_a_1341,type,
    a_1341: $i ).

thf(tp_a_1343,type,
    a_1343: $i ).

thf(tp_a_1345,type,
    a_1345: $i ).

thf(tp_a_1347,type,
    a_1347: $i ).

thf(tp_a_1349,type,
    a_1349: $i ).

thf(tp_a_1351,type,
    a_1351: $i ).

thf(tp_a_1353,type,
    a_1353: $i ).

thf(tp_a_1355,type,
    a_1355: $i ).

thf(tp_a_1357,type,
    a_1357: $i ).

thf(tp_a_1358,type,
    a_1358: $i ).

thf(tp_a_1360,type,
    a_1360: $i ).

thf(tp_a_1362,type,
    a_1362: $i ).

thf(tp_a_1364,type,
    a_1364: $i ).

thf(tp_a_1366,type,
    a_1366: $i ).

thf(tp_a_1368,type,
    a_1368: $i ).

thf(tp_a_1370,type,
    a_1370: $i ).

thf(tp_e_1295,type,
    e_1295: $i ).

thf(tp_e_1297,type,
    e_1297: $i ).

thf(tp_e_1299,type,
    e_1299: $i ).

thf(tp_e_1301,type,
    e_1301: $i ).

thf(tp_e_1303,type,
    e_1303: $i ).

thf(tp_e_1305,type,
    e_1305: $i ).

thf(tp_e_1307,type,
    e_1307: $i ).

thf(tp_e_1309,type,
    e_1309: $i ).

thf(tp_e_1311,type,
    e_1311: $i ).

thf(tp_e_1313,type,
    e_1313: $i ).

thf(tp_e_1315,type,
    e_1315: $i ).

thf(tp_e_1317,type,
    e_1317: $i ).

thf(tp_e_1319,type,
    e_1319: $i ).

thf(tp_e_1322,type,
    e_1322: $i ).

thf(tp_e_1324,type,
    e_1324: $i ).

thf(tp_e_1326,type,
    e_1326: $i ).

thf(tp_e_1328,type,
    e_1328: $i ).

thf(tp_e_1330,type,
    e_1330: $i ).

thf(tp_e_1332,type,
    e_1332: $i ).

thf(tp_e_1336,type,
    e_1336: $i ).

thf(tp_e_1338,type,
    e_1338: $i ).

thf(tp_e_1340,type,
    e_1340: $i ).

thf(tp_e_1342,type,
    e_1342: $i ).

thf(tp_e_1344,type,
    e_1344: $i ).

thf(tp_e_1346,type,
    e_1346: $i ).

thf(tp_e_1348,type,
    e_1348: $i ).

thf(tp_e_1350,type,
    e_1350: $i ).

thf(tp_e_1352,type,
    e_1352: $i ).

thf(tp_e_1354,type,
    e_1354: $i ).

thf(tp_e_1356,type,
    e_1356: $i ).

thf(tp_e_1359,type,
    e_1359: $i ).

thf(tp_e_1361,type,
    e_1361: $i ).

thf(tp_e_1363,type,
    e_1363: $i ).

thf(tp_e_1365,type,
    e_1365: $i ).

thf(tp_e_1367,type,
    e_1367: $i ).

thf(tp_e_1369,type,
    e_1369: $i ).

thf(tp_e_1372,type,
    e_1372: $i ).

thf(tp_e_1373,type,
    e_1373: $i ).

thf(tp_i0,type,
    i0: $i ).

thf(tp_i1,type,
    i1: $i ).

thf(tp_i2,type,
    i2: $i ).

thf(tp_i3,type,
    i3: $i ).

thf(tp_i4,type,
    i4: $i ).

thf(tp_i5,type,
    i5: $i ).

thf(tp_i6,type,
    i6: $i ).

thf(tp_i7,type,
    i7: $i ).

thf(tp_i8,type,
    i8: $i ).

thf(tp_i9,type,
    i9: $i ).

thf(tp_i_1371,type,
    i_1371: $i ).

thf(tp_select,type,
    select: $i > $i > $i ).

thf(tp_sk,type,
    sk: $i > $i > $i ).

thf(tp_store,type,
    store: $i > $i > $i > $i ).

thf(1,axiom,
    ! [A: $i,I: $i,J: $i] :
      ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
      = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

thf(2,axiom,
    ! [I: $i,J: $i,A: $i,E: $i] :
      ( ( I = J )
      | ( ( select @ ( store @ A @ I @ E ) @ J )
        = ( select @ A @ J ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

thf(3,axiom,
    ! [A: $i,I: $i,E: $i] :
      ( ( select @ ( store @ A @ I @ E ) @ I )
      = E ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

thf(4,axiom,
    ( i_1371
    = ( sk @ a_1333 @ a_1370 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp78) ).

thf(5,axiom,
    ( e_1373
    = ( select @ a_1370 @ i_1371 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp77) ).

thf(6,axiom,
    ( e_1372
    = ( select @ a_1333 @ i_1371 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp76) ).

thf(7,axiom,
    ( e_1369
    = ( select @ a_1366 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp75) ).

thf(8,axiom,
    ( e_1367
    = ( select @ a_1366 @ i9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp74) ).

thf(9,axiom,
    ( e_1365
    = ( select @ a_1362 @ i3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp73) ).

thf(10,axiom,
    ( e_1363
    = ( select @ a_1362 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp72) ).

thf(11,axiom,
    ( e_1361
    = ( select @ a_1358 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp71) ).

thf(12,axiom,
    ( e_1359
    = ( select @ a_1358 @ i1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp70) ).

thf(13,axiom,
    ( e_1356
    = ( select @ a_1355 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp69) ).

thf(14,axiom,
    ( e_1354
    = ( select @ a_1351 @ i4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp68) ).

thf(15,axiom,
    ( e_1352
    = ( select @ a_1351 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp67) ).

thf(16,axiom,
    ( e_1350
    = ( select @ a_1347 @ i1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp66) ).

thf(17,axiom,
    ( e_1348
    = ( select @ a_1347 @ i7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp65) ).

thf(18,axiom,
    ( e_1346
    = ( select @ a_1343 @ i4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp64) ).

thf(19,axiom,
    ( e_1344
    = ( select @ a_1343 @ i9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp63) ).

thf(20,axiom,
    ( e_1342
    = ( select @ a_1339 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp62) ).

thf(21,axiom,
    ( e_1340
    = ( select @ a_1339 @ i8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp61) ).

thf(22,axiom,
    ( e_1338
    = ( select @ a_1335 @ i6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp60) ).

thf(23,axiom,
    ( e_1336
    = ( select @ a_1335 @ i8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp59) ).

thf(24,axiom,
    ( e_1332
    = ( select @ a_1329 @ i9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp58) ).

thf(25,axiom,
    ( e_1330
    = ( select @ a_1329 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp57) ).

thf(26,axiom,
    ( e_1328
    = ( select @ a_1325 @ i3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp56) ).

thf(27,axiom,
    ( e_1326
    = ( select @ a_1325 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp55) ).

thf(28,axiom,
    ( e_1324
    = ( select @ a_1321 @ i1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp54) ).

thf(29,axiom,
    ( e_1322
    = ( select @ a_1321 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp53) ).

thf(30,axiom,
    ( e_1319
    = ( select @ a_1318 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp52) ).

thf(31,axiom,
    ( e_1317
    = ( select @ a_1314 @ i4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp51) ).

thf(32,axiom,
    ( e_1315
    = ( select @ a_1314 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp50) ).

thf(33,axiom,
    ( e_1313
    = ( select @ a_1310 @ i7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).

thf(34,axiom,
    ( e_1311
    = ( select @ a_1310 @ i1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).

thf(35,axiom,
    ( e_1309
    = ( select @ a_1306 @ i4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).

thf(36,axiom,
    ( e_1307
    = ( select @ a_1306 @ i9 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).

thf(37,axiom,
    ( e_1305
    = ( select @ a_1302 @ i8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).

thf(38,axiom,
    ( e_1303
    = ( select @ a_1302 @ i5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).

thf(39,axiom,
    ( e_1301
    = ( select @ a_1298 @ i6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).

thf(40,axiom,
    ( e_1299
    = ( select @ a_1298 @ i8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).

thf(41,axiom,
    ( e_1297
    = ( select @ a1 @ i8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).

thf(42,axiom,
    ( e_1295
    = ( select @ a1 @ i7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).

thf(43,axiom,
    ( a_1370
    = ( store @ a_1368 @ i9 @ e_1369 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).

thf(44,axiom,
    ( a_1368
    = ( store @ a_1366 @ i5 @ e_1367 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).

thf(45,axiom,
    ( a_1366
    = ( store @ a_1364 @ i0 @ e_1365 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).

thf(46,axiom,
    ( a_1364
    = ( store @ a_1362 @ i3 @ e_1363 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).

thf(47,axiom,
    ( a_1362
    = ( store @ a_1360 @ i1 @ e_1361 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).

thf(48,axiom,
    ( a_1360
    = ( store @ a_1358 @ i2 @ e_1359 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).

thf(49,axiom,
    ( a_1358
    = ( store @ a_1357 @ i0 @ e_1356 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).

thf(50,axiom,
    ( a_1357
    = ( store @ a_1355 @ i0 @ e_1356 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).

thf(51,axiom,
    ( a_1355
    = ( store @ a_1353 @ i5 @ e_1354 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).

thf(52,axiom,
    ( a_1353
    = ( store @ a_1351 @ i4 @ e_1352 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).

thf(53,axiom,
    ( a_1351
    = ( store @ a_1349 @ i7 @ e_1350 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).

thf(54,axiom,
    ( a_1349
    = ( store @ a_1347 @ i1 @ e_1348 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).

thf(55,axiom,
    ( a_1347
    = ( store @ a_1345 @ i9 @ e_1346 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).

thf(56,axiom,
    ( a_1345
    = ( store @ a_1343 @ i4 @ e_1344 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).

thf(57,axiom,
    ( a_1343
    = ( store @ a_1341 @ i8 @ e_1342 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).

thf(58,axiom,
    ( a_1341
    = ( store @ a_1339 @ i5 @ e_1340 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

thf(59,axiom,
    ( a_1339
    = ( store @ a_1337 @ i8 @ e_1338 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

thf(60,axiom,
    ( a_1337
    = ( store @ a_1335 @ i6 @ e_1336 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

thf(61,axiom,
    ( a_1335
    = ( store @ a_1334 @ i8 @ e_1295 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

thf(62,axiom,
    ( a_1334
    = ( store @ a1 @ i7 @ e_1297 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

thf(63,axiom,
    ( a_1333
    = ( store @ a_1331 @ i5 @ e_1332 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

thf(64,axiom,
    ( a_1331
    = ( store @ a_1329 @ i9 @ e_1330 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

thf(65,axiom,
    ( a_1329
    = ( store @ a_1327 @ i0 @ e_1328 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

thf(66,axiom,
    ( a_1327
    = ( store @ a_1325 @ i3 @ e_1326 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

thf(67,axiom,
    ( a_1325
    = ( store @ a_1323 @ i2 @ e_1324 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

thf(68,axiom,
    ( a_1323
    = ( store @ a_1321 @ i1 @ e_1322 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

thf(69,axiom,
    ( a_1321
    = ( store @ a_1320 @ i0 @ e_1319 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

thf(70,axiom,
    ( a_1320
    = ( store @ a_1318 @ i0 @ e_1319 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

thf(71,axiom,
    ( a_1318
    = ( store @ a_1316 @ i5 @ e_1317 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

thf(72,axiom,
    ( a_1316
    = ( store @ a_1314 @ i4 @ e_1315 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

thf(73,axiom,
    ( a_1314
    = ( store @ a_1312 @ i1 @ e_1313 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

thf(74,axiom,
    ( a_1312
    = ( store @ a_1310 @ i7 @ e_1311 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

thf(75,axiom,
    ( a_1310
    = ( store @ a_1308 @ i9 @ e_1309 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

thf(76,axiom,
    ( a_1308
    = ( store @ a_1306 @ i4 @ e_1307 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

thf(77,axiom,
    ( a_1306
    = ( store @ a_1304 @ i5 @ e_1305 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

thf(78,axiom,
    ( a_1304
    = ( store @ a_1302 @ i8 @ e_1303 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

thf(79,axiom,
    ( a_1302
    = ( store @ a_1300 @ i8 @ e_1301 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

thf(80,axiom,
    ( a_1300
    = ( store @ a_1298 @ i6 @ e_1299 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

thf(81,axiom,
    ( a_1298
    = ( store @ a_1296 @ i7 @ e_1297 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

thf(82,axiom,
    ( a_1296
    = ( store @ a1 @ i8 @ e_1295 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

thf(83,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(84,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[83]) ).

thf(85,negated_conjecture,
    e_1372 != e_1373,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

thf(86,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[84]) ).

thf(87,plain,
    ( ( ! [A: $i,I: $i,J: $i] :
          ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
          = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(88,plain,
    ( ( ! [I: $i,J: $i,A: $i,E: $i] :
          ( ( I = J )
          | ( ( select @ ( store @ A @ I @ E ) @ J )
            = ( select @ A @ J ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(89,plain,
    ( ( ! [A: $i,I: $i,E: $i] :
          ( ( select @ ( store @ A @ I @ E ) @ I )
          = E ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(90,plain,
    ( ( i_1371
      = ( sk @ a_1333 @ a_1370 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(91,plain,
    ( ( e_1373
      = ( select @ a_1370 @ i_1371 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(92,plain,
    ( ( e_1372
      = ( select @ a_1333 @ i_1371 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(93,plain,
    ( ( e_1369
      = ( select @ a_1366 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(94,plain,
    ( ( e_1367
      = ( select @ a_1366 @ i9 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(95,plain,
    ( ( e_1365
      = ( select @ a_1362 @ i3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(96,plain,
    ( ( e_1363
      = ( select @ a_1362 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(97,plain,
    ( ( e_1361
      = ( select @ a_1358 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(98,plain,
    ( ( e_1359
      = ( select @ a_1358 @ i1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(99,plain,
    ( ( e_1356
      = ( select @ a_1355 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(100,plain,
    ( ( e_1354
      = ( select @ a_1351 @ i4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(101,plain,
    ( ( e_1352
      = ( select @ a_1351 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(102,plain,
    ( ( e_1350
      = ( select @ a_1347 @ i1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(103,plain,
    ( ( e_1348
      = ( select @ a_1347 @ i7 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(104,plain,
    ( ( e_1346
      = ( select @ a_1343 @ i4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(105,plain,
    ( ( e_1344
      = ( select @ a_1343 @ i9 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(106,plain,
    ( ( e_1342
      = ( select @ a_1339 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(107,plain,
    ( ( e_1340
      = ( select @ a_1339 @ i8 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(108,plain,
    ( ( e_1338
      = ( select @ a_1335 @ i6 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(109,plain,
    ( ( e_1336
      = ( select @ a_1335 @ i8 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(110,plain,
    ( ( e_1332
      = ( select @ a_1329 @ i9 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(111,plain,
    ( ( e_1330
      = ( select @ a_1329 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(112,plain,
    ( ( e_1328
      = ( select @ a_1325 @ i3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(113,plain,
    ( ( e_1326
      = ( select @ a_1325 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(114,plain,
    ( ( e_1324
      = ( select @ a_1321 @ i1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(115,plain,
    ( ( e_1322
      = ( select @ a_1321 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(116,plain,
    ( ( e_1319
      = ( select @ a_1318 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(117,plain,
    ( ( e_1317
      = ( select @ a_1314 @ i4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(118,plain,
    ( ( e_1315
      = ( select @ a_1314 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(119,plain,
    ( ( e_1313
      = ( select @ a_1310 @ i7 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(120,plain,
    ( ( e_1311
      = ( select @ a_1310 @ i1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(121,plain,
    ( ( e_1309
      = ( select @ a_1306 @ i4 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(122,plain,
    ( ( e_1307
      = ( select @ a_1306 @ i9 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(123,plain,
    ( ( e_1305
      = ( select @ a_1302 @ i8 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(124,plain,
    ( ( e_1303
      = ( select @ a_1302 @ i5 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(125,plain,
    ( ( e_1301
      = ( select @ a_1298 @ i6 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(126,plain,
    ( ( e_1299
      = ( select @ a_1298 @ i8 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(127,plain,
    ( ( e_1297
      = ( select @ a1 @ i8 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(128,plain,
    ( ( e_1295
      = ( select @ a1 @ i7 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(129,plain,
    ( ( a_1370
      = ( store @ a_1368 @ i9 @ e_1369 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(130,plain,
    ( ( a_1368
      = ( store @ a_1366 @ i5 @ e_1367 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(131,plain,
    ( ( a_1366
      = ( store @ a_1364 @ i0 @ e_1365 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(132,plain,
    ( ( a_1364
      = ( store @ a_1362 @ i3 @ e_1363 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(133,plain,
    ( ( a_1362
      = ( store @ a_1360 @ i1 @ e_1361 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(134,plain,
    ( ( a_1360
      = ( store @ a_1358 @ i2 @ e_1359 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(135,plain,
    ( ( a_1358
      = ( store @ a_1357 @ i0 @ e_1356 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(136,plain,
    ( ( a_1357
      = ( store @ a_1355 @ i0 @ e_1356 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(137,plain,
    ( ( a_1355
      = ( store @ a_1353 @ i5 @ e_1354 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(138,plain,
    ( ( a_1353
      = ( store @ a_1351 @ i4 @ e_1352 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(139,plain,
    ( ( a_1351
      = ( store @ a_1349 @ i7 @ e_1350 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(140,plain,
    ( ( a_1349
      = ( store @ a_1347 @ i1 @ e_1348 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(141,plain,
    ( ( a_1347
      = ( store @ a_1345 @ i9 @ e_1346 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(142,plain,
    ( ( a_1345
      = ( store @ a_1343 @ i4 @ e_1344 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(143,plain,
    ( ( a_1343
      = ( store @ a_1341 @ i8 @ e_1342 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(144,plain,
    ( ( a_1341
      = ( store @ a_1339 @ i5 @ e_1340 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(145,plain,
    ( ( a_1339
      = ( store @ a_1337 @ i8 @ e_1338 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(146,plain,
    ( ( a_1337
      = ( store @ a_1335 @ i6 @ e_1336 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(147,plain,
    ( ( a_1335
      = ( store @ a_1334 @ i8 @ e_1295 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(148,plain,
    ( ( a_1334
      = ( store @ a1 @ i7 @ e_1297 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(149,plain,
    ( ( a_1333
      = ( store @ a_1331 @ i5 @ e_1332 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(150,plain,
    ( ( a_1331
      = ( store @ a_1329 @ i9 @ e_1330 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(151,plain,
    ( ( a_1329
      = ( store @ a_1327 @ i0 @ e_1328 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(152,plain,
    ( ( a_1327
      = ( store @ a_1325 @ i3 @ e_1326 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(153,plain,
    ( ( a_1325
      = ( store @ a_1323 @ i2 @ e_1324 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(154,plain,
    ( ( a_1323
      = ( store @ a_1321 @ i1 @ e_1322 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(155,plain,
    ( ( a_1321
      = ( store @ a_1320 @ i0 @ e_1319 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(156,plain,
    ( ( a_1320
      = ( store @ a_1318 @ i0 @ e_1319 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(157,plain,
    ( ( a_1318
      = ( store @ a_1316 @ i5 @ e_1317 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(158,plain,
    ( ( a_1316
      = ( store @ a_1314 @ i4 @ e_1315 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(159,plain,
    ( ( a_1314
      = ( store @ a_1312 @ i1 @ e_1313 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(160,plain,
    ( ( a_1312
      = ( store @ a_1310 @ i7 @ e_1311 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(161,plain,
    ( ( a_1310
      = ( store @ a_1308 @ i9 @ e_1309 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(162,plain,
    ( ( a_1308
      = ( store @ a_1306 @ i4 @ e_1307 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(163,plain,
    ( ( a_1306
      = ( store @ a_1304 @ i5 @ e_1305 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(164,plain,
    ( ( a_1304
      = ( store @ a_1302 @ i8 @ e_1303 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(165,plain,
    ( ( a_1302
      = ( store @ a_1300 @ i8 @ e_1301 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(166,plain,
    ( ( a_1300
      = ( store @ a_1298 @ i6 @ e_1299 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(167,plain,
    ( ( a_1298
      = ( store @ a_1296 @ i7 @ e_1297 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(168,plain,
    ( ( a_1296
      = ( store @ a1 @ i8 @ e_1295 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(169,plain,
    ( ( ( e_1372 != e_1373 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(170,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[86]) ).

thf(171,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( I = J )
          | ! [A: $i,E: $i] :
              ( ( select @ ( store @ A @ I @ E ) @ J )
              = ( select @ A @ J ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[88]) ).

thf(172,plain,
    ( ( ( e_1372 != e_1373 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[169]) ).

thf(173,plain,
    ( ( ( e_1372 != e_1373 ) )
    = $true ),
    inference(copy,[status(thm)],[172]) ).

thf(174,plain,
    ( ( a_1296
      = ( store @ a1 @ i8 @ e_1295 ) )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(175,plain,
    ( ( a_1298
      = ( store @ a_1296 @ i7 @ e_1297 ) )
    = $true ),
    inference(copy,[status(thm)],[167]) ).

thf(176,plain,
    ( ( a_1300
      = ( store @ a_1298 @ i6 @ e_1299 ) )
    = $true ),
    inference(copy,[status(thm)],[166]) ).

thf(177,plain,
    ( ( a_1302
      = ( store @ a_1300 @ i8 @ e_1301 ) )
    = $true ),
    inference(copy,[status(thm)],[165]) ).

thf(178,plain,
    ( ( a_1304
      = ( store @ a_1302 @ i8 @ e_1303 ) )
    = $true ),
    inference(copy,[status(thm)],[164]) ).

thf(179,plain,
    ( ( a_1306
      = ( store @ a_1304 @ i5 @ e_1305 ) )
    = $true ),
    inference(copy,[status(thm)],[163]) ).

thf(180,plain,
    ( ( a_1308
      = ( store @ a_1306 @ i4 @ e_1307 ) )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(181,plain,
    ( ( a_1310
      = ( store @ a_1308 @ i9 @ e_1309 ) )
    = $true ),
    inference(copy,[status(thm)],[161]) ).

thf(182,plain,
    ( ( a_1312
      = ( store @ a_1310 @ i7 @ e_1311 ) )
    = $true ),
    inference(copy,[status(thm)],[160]) ).

thf(183,plain,
    ( ( a_1314
      = ( store @ a_1312 @ i1 @ e_1313 ) )
    = $true ),
    inference(copy,[status(thm)],[159]) ).

thf(184,plain,
    ( ( a_1316
      = ( store @ a_1314 @ i4 @ e_1315 ) )
    = $true ),
    inference(copy,[status(thm)],[158]) ).

thf(185,plain,
    ( ( a_1318
      = ( store @ a_1316 @ i5 @ e_1317 ) )
    = $true ),
    inference(copy,[status(thm)],[157]) ).

thf(186,plain,
    ( ( a_1320
      = ( store @ a_1318 @ i0 @ e_1319 ) )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(187,plain,
    ( ( a_1321
      = ( store @ a_1320 @ i0 @ e_1319 ) )
    = $true ),
    inference(copy,[status(thm)],[155]) ).

thf(188,plain,
    ( ( a_1323
      = ( store @ a_1321 @ i1 @ e_1322 ) )
    = $true ),
    inference(copy,[status(thm)],[154]) ).

thf(189,plain,
    ( ( a_1325
      = ( store @ a_1323 @ i2 @ e_1324 ) )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(190,plain,
    ( ( a_1327
      = ( store @ a_1325 @ i3 @ e_1326 ) )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(191,plain,
    ( ( a_1329
      = ( store @ a_1327 @ i0 @ e_1328 ) )
    = $true ),
    inference(copy,[status(thm)],[151]) ).

thf(192,plain,
    ( ( a_1331
      = ( store @ a_1329 @ i9 @ e_1330 ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(193,plain,
    ( ( a_1333
      = ( store @ a_1331 @ i5 @ e_1332 ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(194,plain,
    ( ( a_1334
      = ( store @ a1 @ i7 @ e_1297 ) )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(195,plain,
    ( ( a_1335
      = ( store @ a_1334 @ i8 @ e_1295 ) )
    = $true ),
    inference(copy,[status(thm)],[147]) ).

thf(196,plain,
    ( ( a_1337
      = ( store @ a_1335 @ i6 @ e_1336 ) )
    = $true ),
    inference(copy,[status(thm)],[146]) ).

thf(197,plain,
    ( ( a_1339
      = ( store @ a_1337 @ i8 @ e_1338 ) )
    = $true ),
    inference(copy,[status(thm)],[145]) ).

thf(198,plain,
    ( ( a_1341
      = ( store @ a_1339 @ i5 @ e_1340 ) )
    = $true ),
    inference(copy,[status(thm)],[144]) ).

thf(199,plain,
    ( ( a_1343
      = ( store @ a_1341 @ i8 @ e_1342 ) )
    = $true ),
    inference(copy,[status(thm)],[143]) ).

thf(200,plain,
    ( ( a_1345
      = ( store @ a_1343 @ i4 @ e_1344 ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(201,plain,
    ( ( a_1347
      = ( store @ a_1345 @ i9 @ e_1346 ) )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(202,plain,
    ( ( a_1349
      = ( store @ a_1347 @ i1 @ e_1348 ) )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(203,plain,
    ( ( a_1351
      = ( store @ a_1349 @ i7 @ e_1350 ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(204,plain,
    ( ( a_1353
      = ( store @ a_1351 @ i4 @ e_1352 ) )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(205,plain,
    ( ( a_1355
      = ( store @ a_1353 @ i5 @ e_1354 ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(206,plain,
    ( ( a_1357
      = ( store @ a_1355 @ i0 @ e_1356 ) )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(207,plain,
    ( ( a_1358
      = ( store @ a_1357 @ i0 @ e_1356 ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(208,plain,
    ( ( a_1360
      = ( store @ a_1358 @ i2 @ e_1359 ) )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(209,plain,
    ( ( a_1362
      = ( store @ a_1360 @ i1 @ e_1361 ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(210,plain,
    ( ( a_1364
      = ( store @ a_1362 @ i3 @ e_1363 ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(211,plain,
    ( ( a_1366
      = ( store @ a_1364 @ i0 @ e_1365 ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(212,plain,
    ( ( a_1368
      = ( store @ a_1366 @ i5 @ e_1367 ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(213,plain,
    ( ( a_1370
      = ( store @ a_1368 @ i9 @ e_1369 ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(214,plain,
    ( ( e_1295
      = ( select @ a1 @ i7 ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(215,plain,
    ( ( e_1297
      = ( select @ a1 @ i8 ) )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(216,plain,
    ( ( e_1299
      = ( select @ a_1298 @ i8 ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(217,plain,
    ( ( e_1301
      = ( select @ a_1298 @ i6 ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(218,plain,
    ( ( e_1303
      = ( select @ a_1302 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(219,plain,
    ( ( e_1305
      = ( select @ a_1302 @ i8 ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(220,plain,
    ( ( e_1307
      = ( select @ a_1306 @ i9 ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(221,plain,
    ( ( e_1309
      = ( select @ a_1306 @ i4 ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(222,plain,
    ( ( e_1311
      = ( select @ a_1310 @ i1 ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(223,plain,
    ( ( e_1313
      = ( select @ a_1310 @ i7 ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(224,plain,
    ( ( e_1315
      = ( select @ a_1314 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(225,plain,
    ( ( e_1317
      = ( select @ a_1314 @ i4 ) )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(226,plain,
    ( ( e_1319
      = ( select @ a_1318 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(227,plain,
    ( ( e_1322
      = ( select @ a_1321 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(228,plain,
    ( ( e_1324
      = ( select @ a_1321 @ i1 ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(229,plain,
    ( ( e_1326
      = ( select @ a_1325 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(230,plain,
    ( ( e_1328
      = ( select @ a_1325 @ i3 ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(231,plain,
    ( ( e_1330
      = ( select @ a_1329 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(232,plain,
    ( ( e_1332
      = ( select @ a_1329 @ i9 ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(233,plain,
    ( ( e_1336
      = ( select @ a_1335 @ i8 ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(234,plain,
    ( ( e_1338
      = ( select @ a_1335 @ i6 ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(235,plain,
    ( ( e_1340
      = ( select @ a_1339 @ i8 ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(236,plain,
    ( ( e_1342
      = ( select @ a_1339 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(237,plain,
    ( ( e_1344
      = ( select @ a_1343 @ i9 ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(238,plain,
    ( ( e_1346
      = ( select @ a_1343 @ i4 ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(239,plain,
    ( ( e_1348
      = ( select @ a_1347 @ i7 ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(240,plain,
    ( ( e_1350
      = ( select @ a_1347 @ i1 ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(241,plain,
    ( ( e_1352
      = ( select @ a_1351 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(242,plain,
    ( ( e_1354
      = ( select @ a_1351 @ i4 ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(243,plain,
    ( ( e_1356
      = ( select @ a_1355 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(244,plain,
    ( ( e_1359
      = ( select @ a_1358 @ i1 ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(245,plain,
    ( ( e_1361
      = ( select @ a_1358 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(246,plain,
    ( ( e_1363
      = ( select @ a_1362 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(247,plain,
    ( ( e_1365
      = ( select @ a_1362 @ i3 ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(248,plain,
    ( ( e_1367
      = ( select @ a_1366 @ i9 ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(249,plain,
    ( ( e_1369
      = ( select @ a_1366 @ i5 ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(250,plain,
    ( ( e_1372
      = ( select @ a_1333 @ i_1371 ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(251,plain,
    ( ( e_1373
      = ( select @ a_1370 @ i_1371 ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(252,plain,
    ( ( i_1371
      = ( sk @ a_1333 @ a_1370 ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(253,plain,
    ( ( ! [A: $i,I: $i,E: $i] :
          ( ( select @ ( store @ A @ I @ E ) @ I )
          = E ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(254,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( I = J )
          | ! [A: $i,E: $i] :
              ( ( select @ ( store @ A @ I @ E ) @ J )
              = ( select @ A @ J ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(255,plain,
    ( ( ! [A: $i,I: $i,J: $i] :
          ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
          = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(256,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[170]) ).

thf(257,plain,
    ( ( e_1372 = e_1373 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(258,plain,
    ! [SV1: $i] :
      ( ( ! [SY10: $i,SY11: $i] :
            ( ( select @ ( store @ SV1 @ SY10 @ SY11 ) @ SY10 )
            = SY11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(259,plain,
    ! [SV2: $i] :
      ( ( ! [SY12: $i] :
            ( ( SV2 = SY12 )
            | ! [SY13: $i,SY14: $i] :
                ( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SY12 )
                = ( select @ SY13 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(260,plain,
    ! [SV3: $i] :
      ( ( ! [SY15: $i,SY16: $i] :
            ( ( store @ ( store @ SV3 @ SY15 @ ( select @ SV3 @ SY16 ) ) @ SY16 @ ( select @ SV3 @ SY15 ) )
            = ( store @ ( store @ SV3 @ SY16 @ ( select @ SV3 @ SY15 ) ) @ SY15 @ ( select @ SV3 @ SY16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(261,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(262,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ! [SY17: $i] :
            ( ( select @ ( store @ SV1 @ SV4 @ SY17 ) @ SV4 )
            = SY17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(263,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        | ! [SY18: $i,SY19: $i] :
            ( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
            = ( select @ SY18 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(264,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY20: $i] :
            ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SY20 ) ) @ SY20 @ ( select @ SV3 @ SV6 ) )
            = ( store @ ( store @ SV3 @ SY20 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SY20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(265,plain,
    ! [SV7: $i,SV4: $i,SV1: $i] :
      ( ( ( select @ ( store @ SV1 @ SV4 @ SV7 ) @ SV4 )
        = SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(266,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        = $true )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
              = ( select @ SY18 @ SV5 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(267,plain,
    ! [SV8: $i,SV6: $i,SV3: $i] :
      ( ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SV8 ) ) @ SV8 @ ( select @ SV3 @ SV6 ) )
        = ( store @ ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(268,plain,
    ! [SV5: $i,SV2: $i,SV9: $i] :
      ( ( ( ! [SY21: $i] :
              ( ( select @ ( store @ SV9 @ SV2 @ SY21 ) @ SV5 )
              = ( select @ SV9 @ SV5 ) ) )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(269,plain,
    ! [SV5: $i,SV10: $i,SV2: $i,SV9: $i] :
      ( ( ( ( select @ ( store @ SV9 @ SV2 @ SV10 ) @ SV5 )
          = ( select @ SV9 @ SV5 ) )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(270,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[174,269,267,265,261,257,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175]) ).

thf(271,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SWV547-1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 13:19:44 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.39  
% 0.15/0.39   No.of.Axioms: 83
% 0.15/0.39  
% 0.15/0.39   Length.of.Defs: 0
% 0.15/0.39  
% 0.15/0.39   Contains.Choice.Funs: false
% 0.15/0.41  (rf:0,axioms:83,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:85,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.85/1.02  
% 0.85/1.02  ********************************
% 0.85/1.02  *   All subproblems solved!    *
% 0.85/1.02  ********************************
% 0.85/1.02  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:83,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:270,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.85/1.03  
% 0.85/1.03  %**** Beginning of derivation protocol ****
% 0.85/1.03  % SZS output start CNFRefutation
% See solution above
% 0.85/1.03  
% 0.85/1.03  %**** End of derivation protocol ****
% 0.85/1.03  %**** no. of clauses in derivation: 271 ****
% 0.85/1.03  %**** clause counter: 270 ****
% 0.85/1.03  
% 0.85/1.03  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:83,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:270,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------