TSTP Solution File: SWV543-1.010 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV543-1.010 : 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 : n027.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 20:13:34 EDT 2022
% Result : Unsatisfiable 0.56s 0.73s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 170
% Syntax : Number of formulae : 351 ( 258 unt; 89 typ; 0 def)
% Number of atoms : 637 ( 446 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 804 ( 6 ~; 9 |; 0 &; 789 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 92 ( 89 usr; 89 con; 0-3 aty)
% Number of variables : 72 ( 0 ^ 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a_1245,type,
a_1245: $i ).
thf(tp_a_1247,type,
a_1247: $i ).
thf(tp_a_1249,type,
a_1249: $i ).
thf(tp_a_1251,type,
a_1251: $i ).
thf(tp_a_1253,type,
a_1253: $i ).
thf(tp_a_1255,type,
a_1255: $i ).
thf(tp_a_1257,type,
a_1257: $i ).
thf(tp_a_1259,type,
a_1259: $i ).
thf(tp_a_1261,type,
a_1261: $i ).
thf(tp_a_1263,type,
a_1263: $i ).
thf(tp_a_1265,type,
a_1265: $i ).
thf(tp_a_1267,type,
a_1267: $i ).
thf(tp_a_1269,type,
a_1269: $i ).
thf(tp_a_1270,type,
a_1270: $i ).
thf(tp_a_1272,type,
a_1272: $i ).
thf(tp_a_1274,type,
a_1274: $i ).
thf(tp_a_1276,type,
a_1276: $i ).
thf(tp_a_1278,type,
a_1278: $i ).
thf(tp_a_1280,type,
a_1280: $i ).
thf(tp_a_1282,type,
a_1282: $i ).
thf(tp_a_1283,type,
a_1283: $i ).
thf(tp_a_1284,type,
a_1284: $i ).
thf(tp_a_1286,type,
a_1286: $i ).
thf(tp_a_1288,type,
a_1288: $i ).
thf(tp_a_1290,type,
a_1290: $i ).
thf(tp_a_1292,type,
a_1292: $i ).
thf(tp_a_1294,type,
a_1294: $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_1307,type,
a_1307: $i ).
thf(tp_a_1309,type,
a_1309: $i ).
thf(tp_a_1311,type,
a_1311: $i ).
thf(tp_a_1313,type,
a_1313: $i ).
thf(tp_a_1315,type,
a_1315: $i ).
thf(tp_a_1317,type,
a_1317: $i ).
thf(tp_a_1319,type,
a_1319: $i ).
thf(tp_e_1244,type,
e_1244: $i ).
thf(tp_e_1246,type,
e_1246: $i ).
thf(tp_e_1248,type,
e_1248: $i ).
thf(tp_e_1250,type,
e_1250: $i ).
thf(tp_e_1252,type,
e_1252: $i ).
thf(tp_e_1254,type,
e_1254: $i ).
thf(tp_e_1256,type,
e_1256: $i ).
thf(tp_e_1258,type,
e_1258: $i ).
thf(tp_e_1260,type,
e_1260: $i ).
thf(tp_e_1262,type,
e_1262: $i ).
thf(tp_e_1264,type,
e_1264: $i ).
thf(tp_e_1266,type,
e_1266: $i ).
thf(tp_e_1268,type,
e_1268: $i ).
thf(tp_e_1271,type,
e_1271: $i ).
thf(tp_e_1273,type,
e_1273: $i ).
thf(tp_e_1275,type,
e_1275: $i ).
thf(tp_e_1277,type,
e_1277: $i ).
thf(tp_e_1279,type,
e_1279: $i ).
thf(tp_e_1281,type,
e_1281: $i ).
thf(tp_e_1285,type,
e_1285: $i ).
thf(tp_e_1287,type,
e_1287: $i ).
thf(tp_e_1289,type,
e_1289: $i ).
thf(tp_e_1291,type,
e_1291: $i ).
thf(tp_e_1293,type,
e_1293: $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_1308,type,
e_1308: $i ).
thf(tp_e_1310,type,
e_1310: $i ).
thf(tp_e_1312,type,
e_1312: $i ).
thf(tp_e_1314,type,
e_1314: $i ).
thf(tp_e_1316,type,
e_1316: $i ).
thf(tp_e_1318,type,
e_1318: $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_select,type,
select: $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,
( e_1318
= ( select @ a_1315 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp75) ).
thf(5,axiom,
( e_1316
= ( select @ a_1315 @ i9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp74) ).
thf(6,axiom,
( e_1314
= ( select @ a_1311 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp73) ).
thf(7,axiom,
( e_1312
= ( select @ a_1311 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp72) ).
thf(8,axiom,
( e_1310
= ( select @ a_1307 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp71) ).
thf(9,axiom,
( e_1308
= ( select @ a_1307 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp70) ).
thf(10,axiom,
( e_1305
= ( select @ a_1304 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp69) ).
thf(11,axiom,
( e_1303
= ( select @ a_1300 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp68) ).
thf(12,axiom,
( e_1301
= ( select @ a_1300 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp67) ).
thf(13,axiom,
( e_1299
= ( select @ a_1296 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp66) ).
thf(14,axiom,
( e_1297
= ( select @ a_1296 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp65) ).
thf(15,axiom,
( e_1295
= ( select @ a_1292 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp64) ).
thf(16,axiom,
( e_1293
= ( select @ a_1292 @ i9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp63) ).
thf(17,axiom,
( e_1291
= ( select @ a_1288 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp62) ).
thf(18,axiom,
( e_1289
= ( select @ a_1288 @ i8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp61) ).
thf(19,axiom,
( e_1287
= ( select @ a_1284 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp60) ).
thf(20,axiom,
( e_1285
= ( select @ a_1284 @ i8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp59) ).
thf(21,axiom,
( e_1281
= ( select @ a_1278 @ i9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp58) ).
thf(22,axiom,
( e_1279
= ( select @ a_1278 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp57) ).
thf(23,axiom,
( e_1277
= ( select @ a_1274 @ i3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp56) ).
thf(24,axiom,
( e_1275
= ( select @ a_1274 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp55) ).
thf(25,axiom,
( e_1273
= ( select @ a_1270 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp54) ).
thf(26,axiom,
( e_1271
= ( select @ a_1270 @ i2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp53) ).
thf(27,axiom,
( e_1268
= ( select @ a_1267 @ i0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp52) ).
thf(28,axiom,
( e_1266
= ( select @ a_1263 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp51) ).
thf(29,axiom,
( e_1264
= ( select @ a_1263 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp50) ).
thf(30,axiom,
( e_1262
= ( select @ a_1259 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp49) ).
thf(31,axiom,
( e_1260
= ( select @ a_1259 @ i1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp48) ).
thf(32,axiom,
( e_1258
= ( select @ a_1255 @ i4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp47) ).
thf(33,axiom,
( e_1256
= ( select @ a_1255 @ i9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp46) ).
thf(34,axiom,
( e_1254
= ( select @ a_1251 @ i8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp45) ).
thf(35,axiom,
( e_1252
= ( select @ a_1251 @ i5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp44) ).
thf(36,axiom,
( e_1250
= ( select @ a_1247 @ i6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp43) ).
thf(37,axiom,
( e_1248
= ( select @ a_1247 @ i8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp42) ).
thf(38,axiom,
( e_1246
= ( select @ a1 @ i8 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp41) ).
thf(39,axiom,
( e_1244
= ( select @ a1 @ i7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp40) ).
thf(40,axiom,
( a_1319
= ( store @ a_1317 @ i9 @ e_1318 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp39) ).
thf(41,axiom,
( a_1317
= ( store @ a_1315 @ i5 @ e_1316 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp38) ).
thf(42,axiom,
( a_1315
= ( store @ a_1313 @ i0 @ e_1314 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp37) ).
thf(43,axiom,
( a_1313
= ( store @ a_1311 @ i3 @ e_1312 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp36) ).
thf(44,axiom,
( a_1311
= ( store @ a_1309 @ i1 @ e_1310 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp35) ).
thf(45,axiom,
( a_1309
= ( store @ a_1307 @ i2 @ e_1308 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp34) ).
thf(46,axiom,
( a_1307
= ( store @ a_1306 @ i0 @ e_1305 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp33) ).
thf(47,axiom,
( a_1306
= ( store @ a_1304 @ i0 @ e_1305 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp32) ).
thf(48,axiom,
( a_1304
= ( store @ a_1302 @ i5 @ e_1303 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp31) ).
thf(49,axiom,
( a_1302
= ( store @ a_1300 @ i4 @ e_1301 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp30) ).
thf(50,axiom,
( a_1300
= ( store @ a_1298 @ i7 @ e_1299 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp29) ).
thf(51,axiom,
( a_1298
= ( store @ a_1296 @ i1 @ e_1297 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp28) ).
thf(52,axiom,
( a_1296
= ( store @ a_1294 @ i9 @ e_1295 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp27) ).
thf(53,axiom,
( a_1294
= ( store @ a_1292 @ i4 @ e_1293 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp26) ).
thf(54,axiom,
( a_1292
= ( store @ a_1290 @ i8 @ e_1291 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp25) ).
thf(55,axiom,
( a_1290
= ( store @ a_1288 @ i5 @ e_1289 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
thf(56,axiom,
( a_1288
= ( store @ a_1286 @ i8 @ e_1287 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
thf(57,axiom,
( a_1286
= ( store @ a_1284 @ i6 @ e_1285 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
thf(58,axiom,
( a_1284
= ( store @ a_1283 @ i8 @ e_1244 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
thf(59,axiom,
( a_1283
= ( store @ a1 @ i7 @ e_1246 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
thf(60,axiom,
( a_1282
= ( store @ a_1280 @ i5 @ e_1281 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
thf(61,axiom,
( a_1280
= ( store @ a_1278 @ i9 @ e_1279 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
thf(62,axiom,
( a_1278
= ( store @ a_1276 @ i0 @ e_1277 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
thf(63,axiom,
( a_1276
= ( store @ a_1274 @ i3 @ e_1275 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
thf(64,axiom,
( a_1274
= ( store @ a_1272 @ i2 @ e_1273 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
thf(65,axiom,
( a_1272
= ( store @ a_1270 @ i1 @ e_1271 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).
thf(66,axiom,
( a_1270
= ( store @ a_1269 @ i0 @ e_1268 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
thf(67,axiom,
( a_1269
= ( store @ a_1267 @ i0 @ e_1268 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
thf(68,axiom,
( a_1267
= ( store @ a_1265 @ i5 @ e_1266 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
thf(69,axiom,
( a_1265
= ( store @ a_1263 @ i4 @ e_1264 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
thf(70,axiom,
( a_1263
= ( store @ a_1261 @ i1 @ e_1262 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
thf(71,axiom,
( a_1261
= ( store @ a_1259 @ i7 @ e_1260 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
thf(72,axiom,
( a_1259
= ( store @ a_1257 @ i9 @ e_1258 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
thf(73,axiom,
( a_1257
= ( store @ a_1255 @ i4 @ e_1256 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
thf(74,axiom,
( a_1255
= ( store @ a_1253 @ i5 @ e_1254 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
thf(75,axiom,
( a_1253
= ( store @ a_1251 @ i8 @ e_1252 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
thf(76,axiom,
( a_1251
= ( store @ a_1249 @ i8 @ e_1250 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
thf(77,axiom,
( a_1249
= ( store @ a_1247 @ i6 @ e_1248 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
thf(78,axiom,
( a_1247
= ( store @ a_1245 @ i7 @ e_1246 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).
thf(79,axiom,
( a_1245
= ( store @ a1 @ i8 @ e_1244 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).
thf(80,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(81,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[80]) ).
thf(82,negated_conjecture,
a_1282 != a_1319,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(83,plain,
$false = $false,
inference(unfold_def,[status(thm)],[81]) ).
thf(84,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(85,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(86,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(87,plain,
( ( e_1318
= ( select @ a_1315 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(88,plain,
( ( e_1316
= ( select @ a_1315 @ i9 ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(89,plain,
( ( e_1314
= ( select @ a_1311 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(90,plain,
( ( e_1312
= ( select @ a_1311 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(91,plain,
( ( e_1310
= ( select @ a_1307 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(92,plain,
( ( e_1308
= ( select @ a_1307 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(93,plain,
( ( e_1305
= ( select @ a_1304 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(94,plain,
( ( e_1303
= ( select @ a_1300 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(95,plain,
( ( e_1301
= ( select @ a_1300 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(96,plain,
( ( e_1299
= ( select @ a_1296 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(97,plain,
( ( e_1297
= ( select @ a_1296 @ i7 ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(98,plain,
( ( e_1295
= ( select @ a_1292 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(99,plain,
( ( e_1293
= ( select @ a_1292 @ i9 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(100,plain,
( ( e_1291
= ( select @ a_1288 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(101,plain,
( ( e_1289
= ( select @ a_1288 @ i8 ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(102,plain,
( ( e_1287
= ( select @ a_1284 @ i6 ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(103,plain,
( ( e_1285
= ( select @ a_1284 @ i8 ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(104,plain,
( ( e_1281
= ( select @ a_1278 @ i9 ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(105,plain,
( ( e_1279
= ( select @ a_1278 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(106,plain,
( ( e_1277
= ( select @ a_1274 @ i3 ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(107,plain,
( ( e_1275
= ( select @ a_1274 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(108,plain,
( ( e_1273
= ( select @ a_1270 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(109,plain,
( ( e_1271
= ( select @ a_1270 @ i2 ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(110,plain,
( ( e_1268
= ( select @ a_1267 @ i0 ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(111,plain,
( ( e_1266
= ( select @ a_1263 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(112,plain,
( ( e_1264
= ( select @ a_1263 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(113,plain,
( ( e_1262
= ( select @ a_1259 @ i7 ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(114,plain,
( ( e_1260
= ( select @ a_1259 @ i1 ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(115,plain,
( ( e_1258
= ( select @ a_1255 @ i4 ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(116,plain,
( ( e_1256
= ( select @ a_1255 @ i9 ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(117,plain,
( ( e_1254
= ( select @ a_1251 @ i8 ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(118,plain,
( ( e_1252
= ( select @ a_1251 @ i5 ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(119,plain,
( ( e_1250
= ( select @ a_1247 @ i6 ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(120,plain,
( ( e_1248
= ( select @ a_1247 @ i8 ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(121,plain,
( ( e_1246
= ( select @ a1 @ i8 ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(122,plain,
( ( e_1244
= ( select @ a1 @ i7 ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(123,plain,
( ( a_1319
= ( store @ a_1317 @ i9 @ e_1318 ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(124,plain,
( ( a_1317
= ( store @ a_1315 @ i5 @ e_1316 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(125,plain,
( ( a_1315
= ( store @ a_1313 @ i0 @ e_1314 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(126,plain,
( ( a_1313
= ( store @ a_1311 @ i3 @ e_1312 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(127,plain,
( ( a_1311
= ( store @ a_1309 @ i1 @ e_1310 ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(128,plain,
( ( a_1309
= ( store @ a_1307 @ i2 @ e_1308 ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(129,plain,
( ( a_1307
= ( store @ a_1306 @ i0 @ e_1305 ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(130,plain,
( ( a_1306
= ( store @ a_1304 @ i0 @ e_1305 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(131,plain,
( ( a_1304
= ( store @ a_1302 @ i5 @ e_1303 ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(132,plain,
( ( a_1302
= ( store @ a_1300 @ i4 @ e_1301 ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(133,plain,
( ( a_1300
= ( store @ a_1298 @ i7 @ e_1299 ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(134,plain,
( ( a_1298
= ( store @ a_1296 @ i1 @ e_1297 ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(135,plain,
( ( a_1296
= ( store @ a_1294 @ i9 @ e_1295 ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(136,plain,
( ( a_1294
= ( store @ a_1292 @ i4 @ e_1293 ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(137,plain,
( ( a_1292
= ( store @ a_1290 @ i8 @ e_1291 ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(138,plain,
( ( a_1290
= ( store @ a_1288 @ i5 @ e_1289 ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(139,plain,
( ( a_1288
= ( store @ a_1286 @ i8 @ e_1287 ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(140,plain,
( ( a_1286
= ( store @ a_1284 @ i6 @ e_1285 ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(141,plain,
( ( a_1284
= ( store @ a_1283 @ i8 @ e_1244 ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(142,plain,
( ( a_1283
= ( store @ a1 @ i7 @ e_1246 ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(143,plain,
( ( a_1282
= ( store @ a_1280 @ i5 @ e_1281 ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(144,plain,
( ( a_1280
= ( store @ a_1278 @ i9 @ e_1279 ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(145,plain,
( ( a_1278
= ( store @ a_1276 @ i0 @ e_1277 ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(146,plain,
( ( a_1276
= ( store @ a_1274 @ i3 @ e_1275 ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(147,plain,
( ( a_1274
= ( store @ a_1272 @ i2 @ e_1273 ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(148,plain,
( ( a_1272
= ( store @ a_1270 @ i1 @ e_1271 ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(149,plain,
( ( a_1270
= ( store @ a_1269 @ i0 @ e_1268 ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(150,plain,
( ( a_1269
= ( store @ a_1267 @ i0 @ e_1268 ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(151,plain,
( ( a_1267
= ( store @ a_1265 @ i5 @ e_1266 ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(152,plain,
( ( a_1265
= ( store @ a_1263 @ i4 @ e_1264 ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(153,plain,
( ( a_1263
= ( store @ a_1261 @ i1 @ e_1262 ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(154,plain,
( ( a_1261
= ( store @ a_1259 @ i7 @ e_1260 ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(155,plain,
( ( a_1259
= ( store @ a_1257 @ i9 @ e_1258 ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(156,plain,
( ( a_1257
= ( store @ a_1255 @ i4 @ e_1256 ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(157,plain,
( ( a_1255
= ( store @ a_1253 @ i5 @ e_1254 ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(158,plain,
( ( a_1253
= ( store @ a_1251 @ i8 @ e_1252 ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(159,plain,
( ( a_1251
= ( store @ a_1249 @ i8 @ e_1250 ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(160,plain,
( ( a_1249
= ( store @ a_1247 @ i6 @ e_1248 ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(161,plain,
( ( a_1247
= ( store @ a_1245 @ i7 @ e_1246 ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(162,plain,
( ( a_1245
= ( store @ a1 @ i8 @ e_1244 ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(163,plain,
( ( ( a_1282 != a_1319 ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(164,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[83]) ).
thf(165,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)],[85]) ).
thf(166,plain,
( ( ( a_1282 != a_1319 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[163]) ).
thf(167,plain,
( ( ( a_1282 != a_1319 ) )
= $true ),
inference(copy,[status(thm)],[166]) ).
thf(168,plain,
( ( a_1245
= ( store @ a1 @ i8 @ e_1244 ) )
= $true ),
inference(copy,[status(thm)],[162]) ).
thf(169,plain,
( ( a_1247
= ( store @ a_1245 @ i7 @ e_1246 ) )
= $true ),
inference(copy,[status(thm)],[161]) ).
thf(170,plain,
( ( a_1249
= ( store @ a_1247 @ i6 @ e_1248 ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(171,plain,
( ( a_1251
= ( store @ a_1249 @ i8 @ e_1250 ) )
= $true ),
inference(copy,[status(thm)],[159]) ).
thf(172,plain,
( ( a_1253
= ( store @ a_1251 @ i8 @ e_1252 ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(173,plain,
( ( a_1255
= ( store @ a_1253 @ i5 @ e_1254 ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(174,plain,
( ( a_1257
= ( store @ a_1255 @ i4 @ e_1256 ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(175,plain,
( ( a_1259
= ( store @ a_1257 @ i9 @ e_1258 ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(176,plain,
( ( a_1261
= ( store @ a_1259 @ i7 @ e_1260 ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(177,plain,
( ( a_1263
= ( store @ a_1261 @ i1 @ e_1262 ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(178,plain,
( ( a_1265
= ( store @ a_1263 @ i4 @ e_1264 ) )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(179,plain,
( ( a_1267
= ( store @ a_1265 @ i5 @ e_1266 ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(180,plain,
( ( a_1269
= ( store @ a_1267 @ i0 @ e_1268 ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(181,plain,
( ( a_1270
= ( store @ a_1269 @ i0 @ e_1268 ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(182,plain,
( ( a_1272
= ( store @ a_1270 @ i1 @ e_1271 ) )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(183,plain,
( ( a_1274
= ( store @ a_1272 @ i2 @ e_1273 ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(184,plain,
( ( a_1276
= ( store @ a_1274 @ i3 @ e_1275 ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(185,plain,
( ( a_1278
= ( store @ a_1276 @ i0 @ e_1277 ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(186,plain,
( ( a_1280
= ( store @ a_1278 @ i9 @ e_1279 ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(187,plain,
( ( a_1282
= ( store @ a_1280 @ i5 @ e_1281 ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(188,plain,
( ( a_1283
= ( store @ a1 @ i7 @ e_1246 ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(189,plain,
( ( a_1284
= ( store @ a_1283 @ i8 @ e_1244 ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(190,plain,
( ( a_1286
= ( store @ a_1284 @ i6 @ e_1285 ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(191,plain,
( ( a_1288
= ( store @ a_1286 @ i8 @ e_1287 ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(192,plain,
( ( a_1290
= ( store @ a_1288 @ i5 @ e_1289 ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(193,plain,
( ( a_1292
= ( store @ a_1290 @ i8 @ e_1291 ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(194,plain,
( ( a_1294
= ( store @ a_1292 @ i4 @ e_1293 ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(195,plain,
( ( a_1296
= ( store @ a_1294 @ i9 @ e_1295 ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(196,plain,
( ( a_1298
= ( store @ a_1296 @ i1 @ e_1297 ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(197,plain,
( ( a_1300
= ( store @ a_1298 @ i7 @ e_1299 ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(198,plain,
( ( a_1302
= ( store @ a_1300 @ i4 @ e_1301 ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(199,plain,
( ( a_1304
= ( store @ a_1302 @ i5 @ e_1303 ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(200,plain,
( ( a_1306
= ( store @ a_1304 @ i0 @ e_1305 ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(201,plain,
( ( a_1307
= ( store @ a_1306 @ i0 @ e_1305 ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(202,plain,
( ( a_1309
= ( store @ a_1307 @ i2 @ e_1308 ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(203,plain,
( ( a_1311
= ( store @ a_1309 @ i1 @ e_1310 ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(204,plain,
( ( a_1313
= ( store @ a_1311 @ i3 @ e_1312 ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(205,plain,
( ( a_1315
= ( store @ a_1313 @ i0 @ e_1314 ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(206,plain,
( ( a_1317
= ( store @ a_1315 @ i5 @ e_1316 ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(207,plain,
( ( a_1319
= ( store @ a_1317 @ i9 @ e_1318 ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(208,plain,
( ( e_1244
= ( select @ a1 @ i7 ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(209,plain,
( ( e_1246
= ( select @ a1 @ i8 ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(210,plain,
( ( e_1248
= ( select @ a_1247 @ i8 ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(211,plain,
( ( e_1250
= ( select @ a_1247 @ i6 ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(212,plain,
( ( e_1252
= ( select @ a_1251 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(213,plain,
( ( e_1254
= ( select @ a_1251 @ i8 ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(214,plain,
( ( e_1256
= ( select @ a_1255 @ i9 ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(215,plain,
( ( e_1258
= ( select @ a_1255 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(216,plain,
( ( e_1260
= ( select @ a_1259 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(217,plain,
( ( e_1262
= ( select @ a_1259 @ i7 ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(218,plain,
( ( e_1264
= ( select @ a_1263 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(219,plain,
( ( e_1266
= ( select @ a_1263 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(220,plain,
( ( e_1268
= ( select @ a_1267 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(221,plain,
( ( e_1271
= ( select @ a_1270 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(222,plain,
( ( e_1273
= ( select @ a_1270 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(223,plain,
( ( e_1275
= ( select @ a_1274 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(224,plain,
( ( e_1277
= ( select @ a_1274 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(225,plain,
( ( e_1279
= ( select @ a_1278 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(226,plain,
( ( e_1281
= ( select @ a_1278 @ i9 ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(227,plain,
( ( e_1285
= ( select @ a_1284 @ i8 ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(228,plain,
( ( e_1287
= ( select @ a_1284 @ i6 ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(229,plain,
( ( e_1289
= ( select @ a_1288 @ i8 ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(230,plain,
( ( e_1291
= ( select @ a_1288 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(231,plain,
( ( e_1293
= ( select @ a_1292 @ i9 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(232,plain,
( ( e_1295
= ( select @ a_1292 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(233,plain,
( ( e_1297
= ( select @ a_1296 @ i7 ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(234,plain,
( ( e_1299
= ( select @ a_1296 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(235,plain,
( ( e_1301
= ( select @ a_1300 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(236,plain,
( ( e_1303
= ( select @ a_1300 @ i4 ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(237,plain,
( ( e_1305
= ( select @ a_1304 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(238,plain,
( ( e_1308
= ( select @ a_1307 @ i1 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(239,plain,
( ( e_1310
= ( select @ a_1307 @ i2 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(240,plain,
( ( e_1312
= ( select @ a_1311 @ i0 ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(241,plain,
( ( e_1314
= ( select @ a_1311 @ i3 ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(242,plain,
( ( e_1316
= ( select @ a_1315 @ i9 ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(243,plain,
( ( e_1318
= ( select @ a_1315 @ i5 ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(244,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(245,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)],[165]) ).
thf(246,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)],[84]) ).
thf(247,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[164]) ).
thf(248,plain,
( ( a_1282 = a_1319 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(249,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ( select @ ( store @ SV1 @ SY10 @ SY11 ) @ SY10 )
= SY11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(250,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)],[245]) ).
thf(251,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)],[246]) ).
thf(252,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY17: $i] :
( ( select @ ( store @ SV1 @ SV4 @ SY17 ) @ SV4 )
= SY17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(254,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)],[250]) ).
thf(255,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)],[251]) ).
thf(256,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV4 @ SV7 ) @ SV4 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(257,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)],[254]) ).
thf(258,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)],[255]) ).
thf(259,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)],[257]) ).
thf(260,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)],[259]) ).
thf(261,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[168,260,258,256,252,248,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,223,222,221,220,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199,198,197,196,195,194,193,192,191,190,189,188,187,186,185,184,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169]) ).
thf(262,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV543-1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 07:11:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 80
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.19/0.37 (rf:0,axioms:80,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:82,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.56/0.73
% 0.56/0.73 ********************************
% 0.56/0.73 * All subproblems solved! *
% 0.56/0.73 ********************************
% 0.56/0.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:80,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:261,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.56/0.75
% 0.56/0.75 %**** Beginning of derivation protocol ****
% 0.56/0.75 % SZS output start CNFRefutation
% See solution above
% 0.56/0.75
% 0.56/0.75 %**** End of derivation protocol ****
% 0.56/0.75 %**** no. of clauses in derivation: 262 ****
% 0.56/0.75 %**** clause counter: 261 ****
% 0.56/0.75
% 0.56/0.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:80,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:261,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------