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