%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV547-1.010 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 : 300s
% DateTime : Sat Jun 21 05:35:30 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 171
% Syntax : Number of formulae : 460 ( 370 unt; 0 typ; 0 def)
% Number of atoms : 552 ( 550 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 102 ( 11 ~; 7 |; 0 &)
% ( 84 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 92 ( 92 usr; 90 con; 0-3 aty)
% Number of variables : 72 ( 69 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
tff(e_1373_type,type,
e_1373: $i ).
tff(e_1372_type,type,
e_1372: $i ).
tff(select_type,type,
select: ( $i * $i ) > $i ).
tff(i_1371_type,type,
i_1371: $i ).
tff(a_1370_type,type,
a_1370: $i ).
tff(a_1333_type,type,
a_1333: $i ).
tff(store_type,type,
store: ( $i * $i * $i ) > $i ).
tff(e_1332_type,type,
e_1332: $i ).
tff(i5_type,type,
i5: $i ).
tff(a_1331_type,type,
a_1331: $i ).
tff(i9_type,type,
i9: $i ).
tff(e_1365_type,type,
e_1365: $i ).
tff(i0_type,type,
i0: $i ).
tff(a_1364_type,type,
a_1364: $i ).
tff(a_1329_type,type,
a_1329: $i ).
tff(a_1366_type,type,
a_1366: $i ).
tff(e_1328_type,type,
e_1328: $i ).
tff(a_1327_type,type,
a_1327: $i ).
tff(i3_type,type,
i3: $i ).
tff(a_1362_type,type,
a_1362: $i ).
tff(a_1325_type,type,
a_1325: $i ).
tff(e_1361_type,type,
e_1361: $i ).
tff(i1_type,type,
i1: $i ).
tff(a_1360_type,type,
a_1360: $i ).
tff(i2_type,type,
i2: $i ).
tff(e_1319_type,type,
e_1319: $i ).
tff(a_1320_type,type,
a_1320: $i ).
tff(a_1358_type,type,
a_1358: $i ).
tff(a_1321_type,type,
a_1321: $i ).
tff(e_1356_type,type,
e_1356: $i ).
tff(a_1357_type,type,
a_1357: $i ).
tff(a_1318_type,type,
a_1318: $i ).
tff(a_1355_type,type,
a_1355: $i ).
tff(e_1317_type,type,
e_1317: $i ).
tff(a_1316_type,type,
a_1316: $i ).
tff(e_1354_type,type,
e_1354: $i ).
tff(a_1353_type,type,
a_1353: $i ).
tff(i4_type,type,
i4: $i ).
tff(a_1314_type,type,
a_1314: $i ).
tff(a_1351_type,type,
a_1351: $i ).
tff(e_1313_type,type,
e_1313: $i ).
tff(a_1312_type,type,
a_1312: $i ).
tff(i7_type,type,
i7: $i ).
tff(e_1346_type,type,
e_1346: $i ).
tff(a_1345_type,type,
a_1345: $i ).
tff(a_1310_type,type,
a_1310: $i ).
tff(a_1347_type,type,
a_1347: $i ).
tff(e_1309_type,type,
e_1309: $i ).
tff(a_1308_type,type,
a_1308: $i ).
tff(a_1343_type,type,
a_1343: $i ).
tff(a_1306_type,type,
a_1306: $i ).
tff(e_1342_type,type,
e_1342: $i ).
tff(i8_type,type,
i8: $i ).
tff(a_1341_type,type,
a_1341: $i ).
tff(e_1301_type,type,
e_1301: $i ).
tff(a_1300_type,type,
a_1300: $i ).
tff(a_1339_type,type,
a_1339: $i ).
tff(a_1302_type,type,
a_1302: $i ).
tff(e_1338_type,type,
e_1338: $i ).
tff(a_1337_type,type,
a_1337: $i ).
tff(i6_type,type,
i6: $i ).
tff(a_1335_type,type,
a_1335: $i ).
tff(a_1298_type,type,
a_1298: $i ).
tff(e_1297_type,type,
e_1297: $i ).
tff(a_1296_type,type,
a_1296: $i ).
tff(a1_type,type,
a1: $i ).
tff(e_1295_type,type,
e_1295: $i ).
tff(a_1334_type,type,
a_1334: $i ).
tff(e_1336_type,type,
e_1336: $i ).
tff(e_1299_type,type,
e_1299: $i ).
tff(e_1340_type,type,
e_1340: $i ).
tff(e_1305_type,type,
e_1305: $i ).
tff(a_1304_type,type,
a_1304: $i ).
tff(e_1303_type,type,
e_1303: $i ).
tff(e_1344_type,type,
e_1344: $i ).
tff(e_1307_type,type,
e_1307: $i ).
tff(e_1311_type,type,
e_1311: $i ).
tff(e_1350_type,type,
e_1350: $i ).
tff(a_1349_type,type,
a_1349: $i ).
tff(e_1348_type,type,
e_1348: $i ).
tff(e_1315_type,type,
e_1315: $i ).
tff(e_1352_type,type,
e_1352: $i ).
tff(e_1359_type,type,
e_1359: $i ).
tff(e_1324_type,type,
e_1324: $i ).
tff(a_1323_type,type,
a_1323: $i ).
tff(e_1322_type,type,
e_1322: $i ).
tff(e_1363_type,type,
e_1363: $i ).
tff(e_1326_type,type,
e_1326: $i ).
tff(e_1330_type,type,
e_1330: $i ).
tff(e_1369_type,type,
e_1369: $i ).
tff(a_1368_type,type,
a_1368: $i ).
tff(e_1367_type,type,
e_1367: $i ).
tff(1,plain,
( ( e_1373 = select(a_1370,i_1371) )
<=> ( e_1373 = select(a_1370,i_1371) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
e_1373 = select(a_1370,i_1371),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp77) ).
tff(3,plain,
e_1373 = select(a_1370,i_1371),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
select(a_1370,i_1371) = e_1373,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( a_1333 = store(a_1331,i5,e_1332) )
<=> ( a_1333 = store(a_1331,i5,e_1332) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
a_1333 = store(a_1331,i5,e_1332),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).
tff(7,plain,
a_1333 = store(a_1331,i5,e_1332),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
store(a_1331,i5,e_1332) = a_1333,
inference(symmetry,[status(thm)],[7]) ).
tff(9,plain,
( ( e_1332 = select(a_1329,i9) )
<=> ( e_1332 = select(a_1329,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,axiom,
e_1332 = select(a_1329,i9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp58) ).
tff(11,plain,
e_1332 = select(a_1329,i9),
inference(modus_ponens,[status(thm)],[10,9]) ).
tff(12,plain,
select(a_1329,i9) = e_1332,
inference(symmetry,[status(thm)],[11]) ).
tff(13,plain,
( ( a_1366 = store(a_1364,i0,e_1365) )
<=> ( a_1366 = store(a_1364,i0,e_1365) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,axiom,
a_1366 = store(a_1364,i0,e_1365),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).
tff(15,plain,
a_1366 = store(a_1364,i0,e_1365),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
store(a_1364,i0,e_1365) = a_1366,
inference(symmetry,[status(thm)],[15]) ).
tff(17,plain,
( ( e_1365 = select(a_1362,i3) )
<=> ( e_1365 = select(a_1362,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,axiom,
e_1365 = select(a_1362,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp73) ).
tff(19,plain,
e_1365 = select(a_1362,i3),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
select(a_1362,i3) = e_1365,
inference(symmetry,[status(thm)],[19]) ).
tff(21,plain,
( ( a_1362 = store(a_1360,i1,e_1361) )
<=> ( a_1362 = store(a_1360,i1,e_1361) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,axiom,
a_1362 = store(a_1360,i1,e_1361),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).
tff(23,plain,
a_1362 = store(a_1360,i1,e_1361),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
store(a_1360,i1,e_1361) = a_1362,
inference(symmetry,[status(thm)],[23]) ).
tff(25,plain,
( ( e_1361 = select(a_1358,i2) )
<=> ( e_1361 = select(a_1358,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(26,axiom,
e_1361 = select(a_1358,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp71) ).
tff(27,plain,
e_1361 = select(a_1358,i2),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
select(a_1358,i2) = e_1361,
inference(symmetry,[status(thm)],[27]) ).
tff(29,plain,
( ( a_1321 = store(a_1320,i0,e_1319) )
<=> ( a_1321 = store(a_1320,i0,e_1319) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
a_1321 = store(a_1320,i0,e_1319),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
tff(31,plain,
a_1321 = store(a_1320,i0,e_1319),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
store(a_1320,i0,e_1319) = a_1321,
inference(symmetry,[status(thm)],[31]) ).
tff(33,plain,
( ( e_1319 = select(a_1318,i0) )
<=> ( e_1319 = select(a_1318,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,axiom,
e_1319 = select(a_1318,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp52) ).
tff(35,plain,
e_1319 = select(a_1318,i0),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
select(a_1318,i0) = e_1319,
inference(symmetry,[status(thm)],[35]) ).
tff(37,plain,
( ( a_1318 = store(a_1316,i5,e_1317) )
<=> ( a_1318 = store(a_1316,i5,e_1317) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,axiom,
a_1318 = store(a_1316,i5,e_1317),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
tff(39,plain,
a_1318 = store(a_1316,i5,e_1317),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
store(a_1316,i5,e_1317) = a_1318,
inference(symmetry,[status(thm)],[39]) ).
tff(41,plain,
( ( e_1317 = select(a_1314,i4) )
<=> ( e_1317 = select(a_1314,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(42,axiom,
e_1317 = select(a_1314,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp51) ).
tff(43,plain,
e_1317 = select(a_1314,i4),
inference(modus_ponens,[status(thm)],[42,41]) ).
tff(44,plain,
select(a_1314,i4) = e_1317,
inference(symmetry,[status(thm)],[43]) ).
tff(45,plain,
( ( a_1314 = store(a_1312,i1,e_1313) )
<=> ( a_1314 = store(a_1312,i1,e_1313) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(46,axiom,
a_1314 = store(a_1312,i1,e_1313),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
tff(47,plain,
a_1314 = store(a_1312,i1,e_1313),
inference(modus_ponens,[status(thm)],[46,45]) ).
tff(48,plain,
store(a_1312,i1,e_1313) = a_1314,
inference(symmetry,[status(thm)],[47]) ).
tff(49,plain,
( ( e_1313 = select(a_1310,i7) )
<=> ( e_1313 = select(a_1310,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,axiom,
e_1313 = select(a_1310,i7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).
tff(51,plain,
e_1313 = select(a_1310,i7),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
select(a_1310,i7) = e_1313,
inference(symmetry,[status(thm)],[51]) ).
tff(53,plain,
( ( a_1347 = store(a_1345,i9,e_1346) )
<=> ( a_1347 = store(a_1345,i9,e_1346) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,axiom,
a_1347 = store(a_1345,i9,e_1346),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).
tff(55,plain,
a_1347 = store(a_1345,i9,e_1346),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
store(a_1345,i9,e_1346) = a_1347,
inference(symmetry,[status(thm)],[55]) ).
tff(57,plain,
( ( e_1346 = select(a_1343,i4) )
<=> ( e_1346 = select(a_1343,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,axiom,
e_1346 = select(a_1343,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp64) ).
tff(59,plain,
e_1346 = select(a_1343,i4),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
select(a_1343,i4) = e_1346,
inference(symmetry,[status(thm)],[59]) ).
tff(61,plain,
( ( a_1343 = store(a_1341,i8,e_1342) )
<=> ( a_1343 = store(a_1341,i8,e_1342) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(62,axiom,
a_1343 = store(a_1341,i8,e_1342),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).
tff(63,plain,
a_1343 = store(a_1341,i8,e_1342),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
store(a_1341,i8,e_1342) = a_1343,
inference(symmetry,[status(thm)],[63]) ).
tff(65,plain,
( ( e_1342 = select(a_1339,i5) )
<=> ( e_1342 = select(a_1339,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,axiom,
e_1342 = select(a_1339,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp62) ).
tff(67,plain,
e_1342 = select(a_1339,i5),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
select(a_1339,i5) = e_1342,
inference(symmetry,[status(thm)],[67]) ).
tff(69,plain,
( ( a_1339 = store(a_1337,i8,e_1338) )
<=> ( a_1339 = store(a_1337,i8,e_1338) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,axiom,
a_1339 = store(a_1337,i8,e_1338),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).
tff(71,plain,
a_1339 = store(a_1337,i8,e_1338),
inference(modus_ponens,[status(thm)],[70,69]) ).
tff(72,plain,
store(a_1337,i8,e_1338) = a_1339,
inference(symmetry,[status(thm)],[71]) ).
tff(73,plain,
( ( e_1338 = select(a_1335,i6) )
<=> ( e_1338 = select(a_1335,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,axiom,
e_1338 = select(a_1335,i6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp60) ).
tff(75,plain,
e_1338 = select(a_1335,i6),
inference(modus_ponens,[status(thm)],[74,73]) ).
tff(76,plain,
select(a_1335,i6) = e_1338,
inference(symmetry,[status(thm)],[75]) ).
tff(77,plain,
( ( a_1298 = store(a_1296,i7,e_1297) )
<=> ( a_1298 = store(a_1296,i7,e_1297) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(78,axiom,
a_1298 = store(a_1296,i7,e_1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
tff(79,plain,
a_1298 = store(a_1296,i7,e_1297),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
store(a_1296,i7,e_1297) = a_1298,
inference(symmetry,[status(thm)],[79]) ).
tff(81,plain,
( ( e_1297 = select(a1,i8) )
<=> ( e_1297 = select(a1,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(82,axiom,
e_1297 = select(a1,i8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).
tff(83,plain,
e_1297 = select(a1,i8),
inference(modus_ponens,[status(thm)],[82,81]) ).
tff(84,plain,
select(a1,i8) = e_1297,
inference(symmetry,[status(thm)],[83]) ).
tff(85,plain,
( ( a_1296 = store(a1,i8,e_1295) )
<=> ( a_1296 = store(a1,i8,e_1295) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(86,axiom,
a_1296 = store(a1,i8,e_1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
tff(87,plain,
a_1296 = store(a1,i8,e_1295),
inference(modus_ponens,[status(thm)],[86,85]) ).
tff(88,plain,
store(a1,i8,e_1295) = a_1296,
inference(symmetry,[status(thm)],[87]) ).
tff(89,plain,
( ( e_1295 = select(a1,i7) )
<=> ( e_1295 = select(a1,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(90,axiom,
e_1295 = select(a1,i7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).
tff(91,plain,
e_1295 = select(a1,i7),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
select(a1,i7) = e_1295,
inference(symmetry,[status(thm)],[91]) ).
tff(93,plain,
store(a1,i8,select(a1,i7)) = store(a1,i8,e_1295),
inference(monotonicity,[status(thm)],[92]) ).
tff(94,plain,
store(a1,i8,select(a1,i7)) = a_1296,
inference(transitivity,[status(thm)],[93,88]) ).
tff(95,plain,
store(store(a1,i8,select(a1,i7)),i7,select(a1,i8)) = store(a_1296,i7,e_1297),
inference(monotonicity,[status(thm)],[94,84]) ).
tff(96,plain,
^ [I: $i,A: $i,J: $i] :
refl(( ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) )
<=> ( store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)) ) )),
inference(bind,[status(th)],[]) ).
tff(97,plain,
( ! [I: $i,A: $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)) )
<=> ! [I: $i,A: $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)) ) ),
inference(quant_intro,[status(thm)],[96]) ).
tff(98,plain,
( ! [I: $i,A: $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)) )
<=> ! [I: $i,A: $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)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(99,axiom,
! [I: $i,A: $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/sandbox2/benchmark/theBenchmark.p',a3) ).
tff(100,plain,
! [I: $i,A: $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)) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [I: $i,A: $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)) ),
inference(skolemize,[status(sab)],[100]) ).
tff(102,plain,
! [I: $i,A: $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)) ),
inference(modus_ponens,[status(thm)],[101,97]) ).
tff(103,plain,
( ~ ! [I: $i,A: $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)) )
| ( store(store(a1,i8,select(a1,i7)),i7,select(a1,i8)) = store(store(a1,i7,select(a1,i8)),i8,select(a1,i7)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(104,plain,
store(store(a1,i8,select(a1,i7)),i7,select(a1,i8)) = store(store(a1,i7,select(a1,i8)),i8,select(a1,i7)),
inference(unit_resolution,[status(thm)],[103,102]) ).
tff(105,plain,
store(store(a1,i7,select(a1,i8)),i8,select(a1,i7)) = store(store(a1,i8,select(a1,i7)),i7,select(a1,i8)),
inference(symmetry,[status(thm)],[104]) ).
tff(106,plain,
store(a1,i7,select(a1,i8)) = store(a1,i7,e_1297),
inference(monotonicity,[status(thm)],[84]) ).
tff(107,plain,
store(a1,i7,e_1297) = store(a1,i7,select(a1,i8)),
inference(symmetry,[status(thm)],[106]) ).
tff(108,plain,
( ( a_1334 = store(a1,i7,e_1297) )
<=> ( a_1334 = store(a1,i7,e_1297) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(109,axiom,
a_1334 = store(a1,i7,e_1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).
tff(110,plain,
a_1334 = store(a1,i7,e_1297),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
a_1334 = store(a1,i7,select(a1,i8)),
inference(transitivity,[status(thm)],[110,107]) ).
tff(112,plain,
store(a_1334,i8,e_1295) = store(store(a1,i7,select(a1,i8)),i8,select(a1,i7)),
inference(monotonicity,[status(thm)],[111,91]) ).
tff(113,plain,
( ( a_1335 = store(a_1334,i8,e_1295) )
<=> ( a_1335 = store(a_1334,i8,e_1295) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(114,axiom,
a_1335 = store(a_1334,i8,e_1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).
tff(115,plain,
a_1335 = store(a_1334,i8,e_1295),
inference(modus_ponens,[status(thm)],[114,113]) ).
tff(116,plain,
a_1335 = a_1298,
inference(transitivity,[status(thm)],[115,112,105,95,80]) ).
tff(117,plain,
select(a_1335,i6) = select(a_1298,i6),
inference(monotonicity,[status(thm)],[116]) ).
tff(118,plain,
select(a_1298,i6) = select(a_1335,i6),
inference(symmetry,[status(thm)],[117]) ).
tff(119,plain,
( ( e_1301 = select(a_1298,i6) )
<=> ( e_1301 = select(a_1298,i6) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(120,axiom,
e_1301 = select(a_1298,i6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).
tff(121,plain,
e_1301 = select(a_1298,i6),
inference(modus_ponens,[status(thm)],[120,119]) ).
tff(122,plain,
e_1301 = e_1338,
inference(transitivity,[status(thm)],[121,118,76]) ).
tff(123,plain,
( ( a_1337 = store(a_1335,i6,e_1336) )
<=> ( a_1337 = store(a_1335,i6,e_1336) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(124,axiom,
a_1337 = store(a_1335,i6,e_1336),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).
tff(125,plain,
a_1337 = store(a_1335,i6,e_1336),
inference(modus_ponens,[status(thm)],[124,123]) ).
tff(126,plain,
store(a_1335,i6,e_1336) = a_1337,
inference(symmetry,[status(thm)],[125]) ).
tff(127,plain,
( ( e_1336 = select(a_1335,i8) )
<=> ( e_1336 = select(a_1335,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(128,axiom,
e_1336 = select(a_1335,i8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp59) ).
tff(129,plain,
e_1336 = select(a_1335,i8),
inference(modus_ponens,[status(thm)],[128,127]) ).
tff(130,plain,
select(a_1335,i8) = e_1336,
inference(symmetry,[status(thm)],[129]) ).
tff(131,plain,
store(a_1334,i8,e_1295) = a_1335,
inference(symmetry,[status(thm)],[115]) ).
tff(132,plain,
store(store(a1,i7,select(a1,i8)),i8,select(a1,i7)) = store(a_1334,i8,e_1295),
inference(symmetry,[status(thm)],[112]) ).
tff(133,plain,
store(a_1296,i7,e_1297) = store(store(a1,i8,select(a1,i7)),i7,select(a1,i8)),
inference(symmetry,[status(thm)],[95]) ).
tff(134,plain,
a_1298 = a_1335,
inference(transitivity,[status(thm)],[79,133,104,132,131]) ).
tff(135,plain,
select(a_1298,i8) = select(a_1335,i8),
inference(monotonicity,[status(thm)],[134]) ).
tff(136,plain,
( ( e_1299 = select(a_1298,i8) )
<=> ( e_1299 = select(a_1298,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(137,axiom,
e_1299 = select(a_1298,i8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).
tff(138,plain,
e_1299 = select(a_1298,i8),
inference(modus_ponens,[status(thm)],[137,136]) ).
tff(139,plain,
e_1299 = e_1336,
inference(transitivity,[status(thm)],[138,135,130]) ).
tff(140,plain,
store(a_1298,i6,e_1299) = store(a_1335,i6,e_1336),
inference(monotonicity,[status(thm)],[134,139]) ).
tff(141,plain,
( ( a_1300 = store(a_1298,i6,e_1299) )
<=> ( a_1300 = store(a_1298,i6,e_1299) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(142,axiom,
a_1300 = store(a_1298,i6,e_1299),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
tff(143,plain,
a_1300 = store(a_1298,i6,e_1299),
inference(modus_ponens,[status(thm)],[142,141]) ).
tff(144,plain,
a_1300 = a_1337,
inference(transitivity,[status(thm)],[143,140,126]) ).
tff(145,plain,
store(a_1300,i8,e_1301) = store(a_1337,i8,e_1338),
inference(monotonicity,[status(thm)],[144,122]) ).
tff(146,plain,
( ( a_1302 = store(a_1300,i8,e_1301) )
<=> ( a_1302 = store(a_1300,i8,e_1301) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(147,axiom,
a_1302 = store(a_1300,i8,e_1301),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
tff(148,plain,
a_1302 = store(a_1300,i8,e_1301),
inference(modus_ponens,[status(thm)],[147,146]) ).
tff(149,plain,
a_1302 = a_1339,
inference(transitivity,[status(thm)],[148,145,72]) ).
tff(150,plain,
select(a_1302,i5) = select(a_1339,i5),
inference(monotonicity,[status(thm)],[149]) ).
tff(151,plain,
store(a_1300,i8,e_1301) = a_1302,
inference(symmetry,[status(thm)],[148]) ).
tff(152,plain,
select(store(a_1300,i8,e_1301),i5) = select(a_1302,i5),
inference(monotonicity,[status(thm)],[151]) ).
tff(153,plain,
select(store(a_1300,i8,e_1301),i5) = e_1342,
inference(transitivity,[status(thm)],[152,150,68]) ).
tff(154,plain,
( ( a_1341 = store(a_1339,i5,e_1340) )
<=> ( a_1341 = store(a_1339,i5,e_1340) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(155,axiom,
a_1341 = store(a_1339,i5,e_1340),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).
tff(156,plain,
a_1341 = store(a_1339,i5,e_1340),
inference(modus_ponens,[status(thm)],[155,154]) ).
tff(157,plain,
store(a_1339,i5,e_1340) = a_1341,
inference(symmetry,[status(thm)],[156]) ).
tff(158,plain,
( ( e_1340 = select(a_1339,i8) )
<=> ( e_1340 = select(a_1339,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(159,axiom,
e_1340 = select(a_1339,i8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp61) ).
tff(160,plain,
e_1340 = select(a_1339,i8),
inference(modus_ponens,[status(thm)],[159,158]) ).
tff(161,plain,
select(a_1339,i8) = e_1340,
inference(symmetry,[status(thm)],[160]) ).
tff(162,plain,
store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)) = store(a_1337,i8,e_1338),
inference(monotonicity,[status(thm)],[126,76]) ).
tff(163,plain,
store(a_1337,i8,e_1338) = store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),
inference(symmetry,[status(thm)],[162]) ).
tff(164,plain,
a_1339 = store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),
inference(transitivity,[status(thm)],[71,163]) ).
tff(165,plain,
select(a_1339,i8) = select(store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),i8),
inference(monotonicity,[status(thm)],[164]) ).
tff(166,plain,
select(store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),i8) = select(a_1339,i8),
inference(symmetry,[status(thm)],[165]) ).
tff(167,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(168,plain,
( ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
<=> ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ) ),
inference(rewrite,[status(thm)],[]) ).
tff(169,axiom,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
tff(170,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[169,168]) ).
tff(171,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(skolemize,[status(sab)],[170]) ).
tff(172,plain,
! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E ),
inference(modus_ponens,[status(thm)],[171,167]) ).
tff(173,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),i8) = select(a_1335,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(174,plain,
select(store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),i8) = select(a_1335,i6),
inference(unit_resolution,[status(thm)],[173,172]) ).
tff(175,plain,
select(a_1335,i6) = select(store(store(a_1335,i6,e_1336),i8,select(a_1335,i6)),i8),
inference(symmetry,[status(thm)],[174]) ).
tff(176,plain,
( ~ ! [I: $i,E: $i,A: $i] : ( select(store(A,I,E),I) = E )
| ( select(store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)),i8) = select(a_1298,i6) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(177,plain,
select(store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)),i8) = select(a_1298,i6),
inference(unit_resolution,[status(thm)],[176,172]) ).
tff(178,plain,
select(a_1298,i6) = e_1301,
inference(symmetry,[status(thm)],[121]) ).
tff(179,plain,
store(a_1298,i6,e_1299) = a_1300,
inference(symmetry,[status(thm)],[143]) ).
tff(180,plain,
store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)) = store(a_1300,i8,e_1301),
inference(monotonicity,[status(thm)],[179,178]) ).
tff(181,plain,
store(a_1300,i8,e_1301) = store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)),
inference(symmetry,[status(thm)],[180]) ).
tff(182,plain,
a_1302 = store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)),
inference(transitivity,[status(thm)],[148,181]) ).
tff(183,plain,
select(a_1302,i8) = select(store(store(a_1298,i6,e_1299),i8,select(a_1298,i6)),i8),
inference(monotonicity,[status(thm)],[182]) ).
tff(184,plain,
select(store(a_1300,i8,e_1301),i8) = select(a_1302,i8),
inference(monotonicity,[status(thm)],[151]) ).
tff(185,plain,
select(store(a_1300,i8,e_1301),i8) = e_1340,
inference(transitivity,[status(thm)],[184,183,177,118,175,166,161]) ).
tff(186,plain,
store(a_1300,i8,e_1301) = a_1339,
inference(transitivity,[status(thm)],[145,72]) ).
tff(187,plain,
store(store(a_1300,i8,e_1301),i5,select(store(a_1300,i8,e_1301),i8)) = store(a_1339,i5,e_1340),
inference(monotonicity,[status(thm)],[186,185]) ).
tff(188,plain,
store(store(a_1300,i8,e_1301),i5,select(store(a_1300,i8,e_1301),i8)) = a_1341,
inference(transitivity,[status(thm)],[187,157]) ).
tff(189,plain,
store(store(store(a_1300,i8,e_1301),i5,select(store(a_1300,i8,e_1301),i8)),i8,select(store(a_1300,i8,e_1301),i5)) = store(a_1341,i8,e_1342),
inference(monotonicity,[status(thm)],[188,153]) ).
tff(190,plain,
( ~ ! [I: $i,A: $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)) )
| ( store(store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)),i5,select(store(a_1300,i8,e_1301),i8)) = store(store(store(a_1300,i8,e_1301),i5,select(store(a_1300,i8,e_1301),i8)),i8,select(store(a_1300,i8,e_1301),i5)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(191,plain,
store(store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)),i5,select(store(a_1300,i8,e_1301),i8)) = store(store(store(a_1300,i8,e_1301),i5,select(store(a_1300,i8,e_1301),i8)),i8,select(store(a_1300,i8,e_1301),i5)),
inference(unit_resolution,[status(thm)],[190,102]) ).
tff(192,plain,
select(a_1302,i8) = select(store(a_1300,i8,e_1301),i8),
inference(symmetry,[status(thm)],[184]) ).
tff(193,plain,
( ( e_1305 = select(a_1302,i8) )
<=> ( e_1305 = select(a_1302,i8) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(194,axiom,
e_1305 = select(a_1302,i8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).
tff(195,plain,
e_1305 = select(a_1302,i8),
inference(modus_ponens,[status(thm)],[194,193]) ).
tff(196,plain,
e_1305 = select(store(a_1300,i8,e_1301),i8),
inference(transitivity,[status(thm)],[195,192]) ).
tff(197,plain,
( ( e_1303 = select(a_1302,i5) )
<=> ( e_1303 = select(a_1302,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(198,axiom,
e_1303 = select(a_1302,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).
tff(199,plain,
e_1303 = select(a_1302,i5),
inference(modus_ponens,[status(thm)],[198,197]) ).
tff(200,plain,
select(a_1302,i5) = e_1303,
inference(symmetry,[status(thm)],[199]) ).
tff(201,plain,
select(store(a_1300,i8,e_1301),i5) = e_1303,
inference(transitivity,[status(thm)],[152,200]) ).
tff(202,plain,
store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)) = store(a_1302,i8,e_1303),
inference(monotonicity,[status(thm)],[151,201]) ).
tff(203,plain,
store(a_1302,i8,e_1303) = store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)),
inference(symmetry,[status(thm)],[202]) ).
tff(204,plain,
( ( a_1304 = store(a_1302,i8,e_1303) )
<=> ( a_1304 = store(a_1302,i8,e_1303) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(205,axiom,
a_1304 = store(a_1302,i8,e_1303),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
tff(206,plain,
a_1304 = store(a_1302,i8,e_1303),
inference(modus_ponens,[status(thm)],[205,204]) ).
tff(207,plain,
a_1304 = store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)),
inference(transitivity,[status(thm)],[206,203]) ).
tff(208,plain,
store(a_1304,i5,e_1305) = store(store(store(a_1300,i8,e_1301),i8,select(store(a_1300,i8,e_1301),i5)),i5,select(store(a_1300,i8,e_1301),i8)),
inference(monotonicity,[status(thm)],[207,196]) ).
tff(209,plain,
( ( a_1306 = store(a_1304,i5,e_1305) )
<=> ( a_1306 = store(a_1304,i5,e_1305) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(210,axiom,
a_1306 = store(a_1304,i5,e_1305),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
tff(211,plain,
a_1306 = store(a_1304,i5,e_1305),
inference(modus_ponens,[status(thm)],[210,209]) ).
tff(212,plain,
a_1306 = a_1343,
inference(transitivity,[status(thm)],[211,208,191,189,64]) ).
tff(213,plain,
select(a_1306,i4) = select(a_1343,i4),
inference(monotonicity,[status(thm)],[212]) ).
tff(214,plain,
( ( e_1309 = select(a_1306,i4) )
<=> ( e_1309 = select(a_1306,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(215,axiom,
e_1309 = select(a_1306,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).
tff(216,plain,
e_1309 = select(a_1306,i4),
inference(modus_ponens,[status(thm)],[215,214]) ).
tff(217,plain,
e_1309 = e_1346,
inference(transitivity,[status(thm)],[216,213,60]) ).
tff(218,plain,
( ( a_1345 = store(a_1343,i4,e_1344) )
<=> ( a_1345 = store(a_1343,i4,e_1344) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(219,axiom,
a_1345 = store(a_1343,i4,e_1344),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).
tff(220,plain,
a_1345 = store(a_1343,i4,e_1344),
inference(modus_ponens,[status(thm)],[219,218]) ).
tff(221,plain,
store(a_1343,i4,e_1344) = a_1345,
inference(symmetry,[status(thm)],[220]) ).
tff(222,plain,
( ( e_1344 = select(a_1343,i9) )
<=> ( e_1344 = select(a_1343,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(223,axiom,
e_1344 = select(a_1343,i9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp63) ).
tff(224,plain,
e_1344 = select(a_1343,i9),
inference(modus_ponens,[status(thm)],[223,222]) ).
tff(225,plain,
select(a_1343,i9) = e_1344,
inference(symmetry,[status(thm)],[224]) ).
tff(226,plain,
select(a_1306,i9) = select(a_1343,i9),
inference(monotonicity,[status(thm)],[212]) ).
tff(227,plain,
( ( e_1307 = select(a_1306,i9) )
<=> ( e_1307 = select(a_1306,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(228,axiom,
e_1307 = select(a_1306,i9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).
tff(229,plain,
e_1307 = select(a_1306,i9),
inference(modus_ponens,[status(thm)],[228,227]) ).
tff(230,plain,
e_1307 = e_1344,
inference(transitivity,[status(thm)],[229,226,225]) ).
tff(231,plain,
store(a_1306,i4,e_1307) = store(a_1343,i4,e_1344),
inference(monotonicity,[status(thm)],[212,230]) ).
tff(232,plain,
( ( a_1308 = store(a_1306,i4,e_1307) )
<=> ( a_1308 = store(a_1306,i4,e_1307) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(233,axiom,
a_1308 = store(a_1306,i4,e_1307),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
tff(234,plain,
a_1308 = store(a_1306,i4,e_1307),
inference(modus_ponens,[status(thm)],[233,232]) ).
tff(235,plain,
a_1308 = a_1345,
inference(transitivity,[status(thm)],[234,231,221]) ).
tff(236,plain,
store(a_1308,i9,e_1309) = store(a_1345,i9,e_1346),
inference(monotonicity,[status(thm)],[235,217]) ).
tff(237,plain,
( ( a_1310 = store(a_1308,i9,e_1309) )
<=> ( a_1310 = store(a_1308,i9,e_1309) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(238,axiom,
a_1310 = store(a_1308,i9,e_1309),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
tff(239,plain,
a_1310 = store(a_1308,i9,e_1309),
inference(modus_ponens,[status(thm)],[238,237]) ).
tff(240,plain,
a_1310 = a_1347,
inference(transitivity,[status(thm)],[239,236,56]) ).
tff(241,plain,
select(a_1310,i7) = select(a_1347,i7),
inference(monotonicity,[status(thm)],[240]) ).
tff(242,plain,
select(a_1347,i7) = select(a_1310,i7),
inference(symmetry,[status(thm)],[241]) ).
tff(243,plain,
select(store(a_1345,i9,e_1346),i7) = select(a_1347,i7),
inference(monotonicity,[status(thm)],[56]) ).
tff(244,plain,
select(store(a_1345,i9,e_1346),i7) = e_1313,
inference(transitivity,[status(thm)],[243,242,52]) ).
tff(245,plain,
( ( a_1312 = store(a_1310,i7,e_1311) )
<=> ( a_1312 = store(a_1310,i7,e_1311) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(246,axiom,
a_1312 = store(a_1310,i7,e_1311),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
tff(247,plain,
a_1312 = store(a_1310,i7,e_1311),
inference(modus_ponens,[status(thm)],[246,245]) ).
tff(248,plain,
store(a_1310,i7,e_1311) = a_1312,
inference(symmetry,[status(thm)],[247]) ).
tff(249,plain,
( ( e_1311 = select(a_1310,i1) )
<=> ( e_1311 = select(a_1310,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(250,axiom,
e_1311 = select(a_1310,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).
tff(251,plain,
e_1311 = select(a_1310,i1),
inference(modus_ponens,[status(thm)],[250,249]) ).
tff(252,plain,
select(a_1310,i1) = e_1311,
inference(symmetry,[status(thm)],[251]) ).
tff(253,plain,
select(a_1310,i1) = select(a_1347,i1),
inference(monotonicity,[status(thm)],[240]) ).
tff(254,plain,
select(a_1347,i1) = select(a_1310,i1),
inference(symmetry,[status(thm)],[253]) ).
tff(255,plain,
select(store(a_1345,i9,e_1346),i1) = select(a_1347,i1),
inference(monotonicity,[status(thm)],[56]) ).
tff(256,plain,
select(store(a_1345,i9,e_1346),i1) = e_1311,
inference(transitivity,[status(thm)],[255,254,252]) ).
tff(257,plain,
store(a_1308,i9,e_1309) = a_1310,
inference(symmetry,[status(thm)],[239]) ).
tff(258,plain,
store(a_1345,i9,e_1346) = store(a_1308,i9,e_1309),
inference(symmetry,[status(thm)],[236]) ).
tff(259,plain,
store(a_1345,i9,e_1346) = a_1310,
inference(transitivity,[status(thm)],[258,257]) ).
tff(260,plain,
store(store(a_1345,i9,e_1346),i7,select(store(a_1345,i9,e_1346),i1)) = store(a_1310,i7,e_1311),
inference(monotonicity,[status(thm)],[259,256]) ).
tff(261,plain,
store(store(a_1345,i9,e_1346),i7,select(store(a_1345,i9,e_1346),i1)) = a_1312,
inference(transitivity,[status(thm)],[260,248]) ).
tff(262,plain,
store(store(store(a_1345,i9,e_1346),i7,select(store(a_1345,i9,e_1346),i1)),i1,select(store(a_1345,i9,e_1346),i7)) = store(a_1312,i1,e_1313),
inference(monotonicity,[status(thm)],[261,244]) ).
tff(263,plain,
( ~ ! [I: $i,A: $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)) )
| ( store(store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)),i7,select(store(a_1345,i9,e_1346),i1)) = store(store(store(a_1345,i9,e_1346),i7,select(store(a_1345,i9,e_1346),i1)),i1,select(store(a_1345,i9,e_1346),i7)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(264,plain,
store(store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)),i7,select(store(a_1345,i9,e_1346),i1)) = store(store(store(a_1345,i9,e_1346),i7,select(store(a_1345,i9,e_1346),i1)),i1,select(store(a_1345,i9,e_1346),i7)),
inference(unit_resolution,[status(thm)],[263,102]) ).
tff(265,plain,
select(a_1347,i1) = select(store(a_1345,i9,e_1346),i1),
inference(symmetry,[status(thm)],[255]) ).
tff(266,plain,
( ( e_1350 = select(a_1347,i1) )
<=> ( e_1350 = select(a_1347,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(267,axiom,
e_1350 = select(a_1347,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).
tff(268,plain,
e_1350 = select(a_1347,i1),
inference(modus_ponens,[status(thm)],[267,266]) ).
tff(269,plain,
e_1350 = select(store(a_1345,i9,e_1346),i1),
inference(transitivity,[status(thm)],[268,265]) ).
tff(270,plain,
( ( e_1348 = select(a_1347,i7) )
<=> ( e_1348 = select(a_1347,i7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(271,axiom,
e_1348 = select(a_1347,i7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp65) ).
tff(272,plain,
e_1348 = select(a_1347,i7),
inference(modus_ponens,[status(thm)],[271,270]) ).
tff(273,plain,
select(a_1347,i7) = e_1348,
inference(symmetry,[status(thm)],[272]) ).
tff(274,plain,
select(store(a_1345,i9,e_1346),i7) = e_1348,
inference(transitivity,[status(thm)],[243,273]) ).
tff(275,plain,
store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)) = store(a_1347,i1,e_1348),
inference(monotonicity,[status(thm)],[56,274]) ).
tff(276,plain,
store(a_1347,i1,e_1348) = store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)),
inference(symmetry,[status(thm)],[275]) ).
tff(277,plain,
( ( a_1349 = store(a_1347,i1,e_1348) )
<=> ( a_1349 = store(a_1347,i1,e_1348) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(278,axiom,
a_1349 = store(a_1347,i1,e_1348),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).
tff(279,plain,
a_1349 = store(a_1347,i1,e_1348),
inference(modus_ponens,[status(thm)],[278,277]) ).
tff(280,plain,
a_1349 = store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)),
inference(transitivity,[status(thm)],[279,276]) ).
tff(281,plain,
store(a_1349,i7,e_1350) = store(store(store(a_1345,i9,e_1346),i1,select(store(a_1345,i9,e_1346),i7)),i7,select(store(a_1345,i9,e_1346),i1)),
inference(monotonicity,[status(thm)],[280,269]) ).
tff(282,plain,
( ( a_1351 = store(a_1349,i7,e_1350) )
<=> ( a_1351 = store(a_1349,i7,e_1350) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(283,axiom,
a_1351 = store(a_1349,i7,e_1350),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).
tff(284,plain,
a_1351 = store(a_1349,i7,e_1350),
inference(modus_ponens,[status(thm)],[283,282]) ).
tff(285,plain,
a_1351 = a_1314,
inference(transitivity,[status(thm)],[284,281,264,262,48]) ).
tff(286,plain,
select(a_1351,i4) = select(a_1314,i4),
inference(monotonicity,[status(thm)],[285]) ).
tff(287,plain,
( ( e_1354 = select(a_1351,i4) )
<=> ( e_1354 = select(a_1351,i4) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(288,axiom,
e_1354 = select(a_1351,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp68) ).
tff(289,plain,
e_1354 = select(a_1351,i4),
inference(modus_ponens,[status(thm)],[288,287]) ).
tff(290,plain,
e_1354 = e_1317,
inference(transitivity,[status(thm)],[289,286,44]) ).
tff(291,plain,
( ( a_1316 = store(a_1314,i4,e_1315) )
<=> ( a_1316 = store(a_1314,i4,e_1315) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(292,axiom,
a_1316 = store(a_1314,i4,e_1315),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
tff(293,plain,
a_1316 = store(a_1314,i4,e_1315),
inference(modus_ponens,[status(thm)],[292,291]) ).
tff(294,plain,
store(a_1314,i4,e_1315) = a_1316,
inference(symmetry,[status(thm)],[293]) ).
tff(295,plain,
( ( e_1315 = select(a_1314,i5) )
<=> ( e_1315 = select(a_1314,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(296,axiom,
e_1315 = select(a_1314,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).
tff(297,plain,
e_1315 = select(a_1314,i5),
inference(modus_ponens,[status(thm)],[296,295]) ).
tff(298,plain,
select(a_1314,i5) = e_1315,
inference(symmetry,[status(thm)],[297]) ).
tff(299,plain,
select(a_1351,i5) = select(a_1314,i5),
inference(monotonicity,[status(thm)],[285]) ).
tff(300,plain,
( ( e_1352 = select(a_1351,i5) )
<=> ( e_1352 = select(a_1351,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(301,axiom,
e_1352 = select(a_1351,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp67) ).
tff(302,plain,
e_1352 = select(a_1351,i5),
inference(modus_ponens,[status(thm)],[301,300]) ).
tff(303,plain,
e_1352 = e_1315,
inference(transitivity,[status(thm)],[302,299,298]) ).
tff(304,plain,
store(a_1351,i4,e_1352) = store(a_1314,i4,e_1315),
inference(monotonicity,[status(thm)],[285,303]) ).
tff(305,plain,
( ( a_1353 = store(a_1351,i4,e_1352) )
<=> ( a_1353 = store(a_1351,i4,e_1352) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(306,axiom,
a_1353 = store(a_1351,i4,e_1352),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).
tff(307,plain,
a_1353 = store(a_1351,i4,e_1352),
inference(modus_ponens,[status(thm)],[306,305]) ).
tff(308,plain,
a_1353 = a_1316,
inference(transitivity,[status(thm)],[307,304,294]) ).
tff(309,plain,
store(a_1353,i5,e_1354) = store(a_1316,i5,e_1317),
inference(monotonicity,[status(thm)],[308,290]) ).
tff(310,plain,
( ( a_1355 = store(a_1353,i5,e_1354) )
<=> ( a_1355 = store(a_1353,i5,e_1354) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(311,axiom,
a_1355 = store(a_1353,i5,e_1354),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).
tff(312,plain,
a_1355 = store(a_1353,i5,e_1354),
inference(modus_ponens,[status(thm)],[311,310]) ).
tff(313,plain,
a_1355 = a_1318,
inference(transitivity,[status(thm)],[312,309,40]) ).
tff(314,plain,
select(a_1355,i0) = select(a_1318,i0),
inference(monotonicity,[status(thm)],[313]) ).
tff(315,plain,
( ( e_1356 = select(a_1355,i0) )
<=> ( e_1356 = select(a_1355,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(316,axiom,
e_1356 = select(a_1355,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp69) ).
tff(317,plain,
e_1356 = select(a_1355,i0),
inference(modus_ponens,[status(thm)],[316,315]) ).
tff(318,plain,
e_1356 = e_1319,
inference(transitivity,[status(thm)],[317,314,36]) ).
tff(319,plain,
( ( a_1320 = store(a_1318,i0,e_1319) )
<=> ( a_1320 = store(a_1318,i0,e_1319) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(320,axiom,
a_1320 = store(a_1318,i0,e_1319),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
tff(321,plain,
a_1320 = store(a_1318,i0,e_1319),
inference(modus_ponens,[status(thm)],[320,319]) ).
tff(322,plain,
store(a_1318,i0,e_1319) = a_1320,
inference(symmetry,[status(thm)],[321]) ).
tff(323,plain,
store(a_1355,i0,e_1356) = store(a_1318,i0,e_1319),
inference(monotonicity,[status(thm)],[313,318]) ).
tff(324,plain,
( ( a_1357 = store(a_1355,i0,e_1356) )
<=> ( a_1357 = store(a_1355,i0,e_1356) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(325,axiom,
a_1357 = store(a_1355,i0,e_1356),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).
tff(326,plain,
a_1357 = store(a_1355,i0,e_1356),
inference(modus_ponens,[status(thm)],[325,324]) ).
tff(327,plain,
a_1357 = a_1320,
inference(transitivity,[status(thm)],[326,323,322]) ).
tff(328,plain,
store(a_1357,i0,e_1356) = store(a_1320,i0,e_1319),
inference(monotonicity,[status(thm)],[327,318]) ).
tff(329,plain,
( ( a_1358 = store(a_1357,i0,e_1356) )
<=> ( a_1358 = store(a_1357,i0,e_1356) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(330,axiom,
a_1358 = store(a_1357,i0,e_1356),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).
tff(331,plain,
a_1358 = store(a_1357,i0,e_1356),
inference(modus_ponens,[status(thm)],[330,329]) ).
tff(332,plain,
a_1358 = a_1321,
inference(transitivity,[status(thm)],[331,328,32]) ).
tff(333,plain,
select(a_1358,i2) = select(a_1321,i2),
inference(monotonicity,[status(thm)],[332]) ).
tff(334,plain,
select(a_1321,i2) = select(a_1358,i2),
inference(symmetry,[status(thm)],[333]) ).
tff(335,plain,
select(store(a_1320,i0,e_1319),i2) = select(a_1321,i2),
inference(monotonicity,[status(thm)],[32]) ).
tff(336,plain,
select(store(a_1320,i0,e_1319),i2) = e_1361,
inference(transitivity,[status(thm)],[335,334,28]) ).
tff(337,plain,
( ( a_1360 = store(a_1358,i2,e_1359) )
<=> ( a_1360 = store(a_1358,i2,e_1359) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(338,axiom,
a_1360 = store(a_1358,i2,e_1359),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).
tff(339,plain,
a_1360 = store(a_1358,i2,e_1359),
inference(modus_ponens,[status(thm)],[338,337]) ).
tff(340,plain,
store(a_1358,i2,e_1359) = a_1360,
inference(symmetry,[status(thm)],[339]) ).
tff(341,plain,
( ( e_1359 = select(a_1358,i1) )
<=> ( e_1359 = select(a_1358,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(342,axiom,
e_1359 = select(a_1358,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp70) ).
tff(343,plain,
e_1359 = select(a_1358,i1),
inference(modus_ponens,[status(thm)],[342,341]) ).
tff(344,plain,
select(a_1358,i1) = e_1359,
inference(symmetry,[status(thm)],[343]) ).
tff(345,plain,
select(a_1358,i1) = select(a_1321,i1),
inference(monotonicity,[status(thm)],[332]) ).
tff(346,plain,
select(a_1321,i1) = select(a_1358,i1),
inference(symmetry,[status(thm)],[345]) ).
tff(347,plain,
select(store(a_1320,i0,e_1319),i1) = select(a_1321,i1),
inference(monotonicity,[status(thm)],[32]) ).
tff(348,plain,
select(store(a_1320,i0,e_1319),i1) = e_1359,
inference(transitivity,[status(thm)],[347,346,344]) ).
tff(349,plain,
store(a_1357,i0,e_1356) = a_1358,
inference(symmetry,[status(thm)],[331]) ).
tff(350,plain,
store(a_1320,i0,e_1319) = store(a_1357,i0,e_1356),
inference(symmetry,[status(thm)],[328]) ).
tff(351,plain,
store(a_1320,i0,e_1319) = a_1358,
inference(transitivity,[status(thm)],[350,349]) ).
tff(352,plain,
store(store(a_1320,i0,e_1319),i2,select(store(a_1320,i0,e_1319),i1)) = store(a_1358,i2,e_1359),
inference(monotonicity,[status(thm)],[351,348]) ).
tff(353,plain,
store(store(a_1320,i0,e_1319),i2,select(store(a_1320,i0,e_1319),i1)) = a_1360,
inference(transitivity,[status(thm)],[352,340]) ).
tff(354,plain,
store(store(store(a_1320,i0,e_1319),i2,select(store(a_1320,i0,e_1319),i1)),i1,select(store(a_1320,i0,e_1319),i2)) = store(a_1360,i1,e_1361),
inference(monotonicity,[status(thm)],[353,336]) ).
tff(355,plain,
( ~ ! [I: $i,A: $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)) )
| ( store(store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)),i2,select(store(a_1320,i0,e_1319),i1)) = store(store(store(a_1320,i0,e_1319),i2,select(store(a_1320,i0,e_1319),i1)),i1,select(store(a_1320,i0,e_1319),i2)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(356,plain,
store(store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)),i2,select(store(a_1320,i0,e_1319),i1)) = store(store(store(a_1320,i0,e_1319),i2,select(store(a_1320,i0,e_1319),i1)),i1,select(store(a_1320,i0,e_1319),i2)),
inference(unit_resolution,[status(thm)],[355,102]) ).
tff(357,plain,
select(a_1321,i1) = select(store(a_1320,i0,e_1319),i1),
inference(symmetry,[status(thm)],[347]) ).
tff(358,plain,
( ( e_1324 = select(a_1321,i1) )
<=> ( e_1324 = select(a_1321,i1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(359,axiom,
e_1324 = select(a_1321,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp54) ).
tff(360,plain,
e_1324 = select(a_1321,i1),
inference(modus_ponens,[status(thm)],[359,358]) ).
tff(361,plain,
e_1324 = select(store(a_1320,i0,e_1319),i1),
inference(transitivity,[status(thm)],[360,357]) ).
tff(362,plain,
( ( e_1322 = select(a_1321,i2) )
<=> ( e_1322 = select(a_1321,i2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(363,axiom,
e_1322 = select(a_1321,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp53) ).
tff(364,plain,
e_1322 = select(a_1321,i2),
inference(modus_ponens,[status(thm)],[363,362]) ).
tff(365,plain,
select(a_1321,i2) = e_1322,
inference(symmetry,[status(thm)],[364]) ).
tff(366,plain,
select(store(a_1320,i0,e_1319),i2) = e_1322,
inference(transitivity,[status(thm)],[335,365]) ).
tff(367,plain,
store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)) = store(a_1321,i1,e_1322),
inference(monotonicity,[status(thm)],[32,366]) ).
tff(368,plain,
store(a_1321,i1,e_1322) = store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)),
inference(symmetry,[status(thm)],[367]) ).
tff(369,plain,
( ( a_1323 = store(a_1321,i1,e_1322) )
<=> ( a_1323 = store(a_1321,i1,e_1322) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(370,axiom,
a_1323 = store(a_1321,i1,e_1322),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
tff(371,plain,
a_1323 = store(a_1321,i1,e_1322),
inference(modus_ponens,[status(thm)],[370,369]) ).
tff(372,plain,
a_1323 = store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)),
inference(transitivity,[status(thm)],[371,368]) ).
tff(373,plain,
store(a_1323,i2,e_1324) = store(store(store(a_1320,i0,e_1319),i1,select(store(a_1320,i0,e_1319),i2)),i2,select(store(a_1320,i0,e_1319),i1)),
inference(monotonicity,[status(thm)],[372,361]) ).
tff(374,plain,
( ( a_1325 = store(a_1323,i2,e_1324) )
<=> ( a_1325 = store(a_1323,i2,e_1324) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(375,axiom,
a_1325 = store(a_1323,i2,e_1324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
tff(376,plain,
a_1325 = store(a_1323,i2,e_1324),
inference(modus_ponens,[status(thm)],[375,374]) ).
tff(377,plain,
a_1325 = a_1362,
inference(transitivity,[status(thm)],[376,373,356,354,24]) ).
tff(378,plain,
select(a_1325,i3) = select(a_1362,i3),
inference(monotonicity,[status(thm)],[377]) ).
tff(379,plain,
( ( e_1328 = select(a_1325,i3) )
<=> ( e_1328 = select(a_1325,i3) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(380,axiom,
e_1328 = select(a_1325,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp56) ).
tff(381,plain,
e_1328 = select(a_1325,i3),
inference(modus_ponens,[status(thm)],[380,379]) ).
tff(382,plain,
e_1328 = e_1365,
inference(transitivity,[status(thm)],[381,378,20]) ).
tff(383,plain,
( ( a_1364 = store(a_1362,i3,e_1363) )
<=> ( a_1364 = store(a_1362,i3,e_1363) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(384,axiom,
a_1364 = store(a_1362,i3,e_1363),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).
tff(385,plain,
a_1364 = store(a_1362,i3,e_1363),
inference(modus_ponens,[status(thm)],[384,383]) ).
tff(386,plain,
store(a_1362,i3,e_1363) = a_1364,
inference(symmetry,[status(thm)],[385]) ).
tff(387,plain,
( ( e_1363 = select(a_1362,i0) )
<=> ( e_1363 = select(a_1362,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(388,axiom,
e_1363 = select(a_1362,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp72) ).
tff(389,plain,
e_1363 = select(a_1362,i0),
inference(modus_ponens,[status(thm)],[388,387]) ).
tff(390,plain,
select(a_1362,i0) = e_1363,
inference(symmetry,[status(thm)],[389]) ).
tff(391,plain,
select(a_1325,i0) = select(a_1362,i0),
inference(monotonicity,[status(thm)],[377]) ).
tff(392,plain,
( ( e_1326 = select(a_1325,i0) )
<=> ( e_1326 = select(a_1325,i0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(393,axiom,
e_1326 = select(a_1325,i0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp55) ).
tff(394,plain,
e_1326 = select(a_1325,i0),
inference(modus_ponens,[status(thm)],[393,392]) ).
tff(395,plain,
e_1326 = e_1363,
inference(transitivity,[status(thm)],[394,391,390]) ).
tff(396,plain,
store(a_1325,i3,e_1326) = store(a_1362,i3,e_1363),
inference(monotonicity,[status(thm)],[377,395]) ).
tff(397,plain,
( ( a_1327 = store(a_1325,i3,e_1326) )
<=> ( a_1327 = store(a_1325,i3,e_1326) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(398,axiom,
a_1327 = store(a_1325,i3,e_1326),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
tff(399,plain,
a_1327 = store(a_1325,i3,e_1326),
inference(modus_ponens,[status(thm)],[398,397]) ).
tff(400,plain,
a_1327 = a_1364,
inference(transitivity,[status(thm)],[399,396,386]) ).
tff(401,plain,
store(a_1327,i0,e_1328) = store(a_1364,i0,e_1365),
inference(monotonicity,[status(thm)],[400,382]) ).
tff(402,plain,
( ( a_1329 = store(a_1327,i0,e_1328) )
<=> ( a_1329 = store(a_1327,i0,e_1328) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(403,axiom,
a_1329 = store(a_1327,i0,e_1328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).
tff(404,plain,
a_1329 = store(a_1327,i0,e_1328),
inference(modus_ponens,[status(thm)],[403,402]) ).
tff(405,plain,
a_1329 = a_1366,
inference(transitivity,[status(thm)],[404,401,16]) ).
tff(406,plain,
select(a_1329,i9) = select(a_1366,i9),
inference(monotonicity,[status(thm)],[405]) ).
tff(407,plain,
select(a_1366,i9) = select(a_1329,i9),
inference(symmetry,[status(thm)],[406]) ).
tff(408,plain,
select(store(a_1364,i0,e_1365),i9) = select(a_1366,i9),
inference(monotonicity,[status(thm)],[16]) ).
tff(409,plain,
select(store(a_1364,i0,e_1365),i9) = e_1332,
inference(transitivity,[status(thm)],[408,407,12]) ).
tff(410,plain,
( ( a_1331 = store(a_1329,i9,e_1330) )
<=> ( a_1331 = store(a_1329,i9,e_1330) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(411,axiom,
a_1331 = store(a_1329,i9,e_1330),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).
tff(412,plain,
a_1331 = store(a_1329,i9,e_1330),
inference(modus_ponens,[status(thm)],[411,410]) ).
tff(413,plain,
store(a_1329,i9,e_1330) = a_1331,
inference(symmetry,[status(thm)],[412]) ).
tff(414,plain,
( ( e_1330 = select(a_1329,i5) )
<=> ( e_1330 = select(a_1329,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(415,axiom,
e_1330 = select(a_1329,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp57) ).
tff(416,plain,
e_1330 = select(a_1329,i5),
inference(modus_ponens,[status(thm)],[415,414]) ).
tff(417,plain,
select(a_1329,i5) = e_1330,
inference(symmetry,[status(thm)],[416]) ).
tff(418,plain,
select(a_1329,i5) = select(a_1366,i5),
inference(monotonicity,[status(thm)],[405]) ).
tff(419,plain,
select(a_1366,i5) = select(a_1329,i5),
inference(symmetry,[status(thm)],[418]) ).
tff(420,plain,
select(store(a_1364,i0,e_1365),i5) = select(a_1366,i5),
inference(monotonicity,[status(thm)],[16]) ).
tff(421,plain,
select(store(a_1364,i0,e_1365),i5) = e_1330,
inference(transitivity,[status(thm)],[420,419,417]) ).
tff(422,plain,
store(a_1327,i0,e_1328) = a_1329,
inference(symmetry,[status(thm)],[404]) ).
tff(423,plain,
store(a_1364,i0,e_1365) = store(a_1327,i0,e_1328),
inference(symmetry,[status(thm)],[401]) ).
tff(424,plain,
store(a_1364,i0,e_1365) = a_1329,
inference(transitivity,[status(thm)],[423,422]) ).
tff(425,plain,
store(store(a_1364,i0,e_1365),i9,select(store(a_1364,i0,e_1365),i5)) = store(a_1329,i9,e_1330),
inference(monotonicity,[status(thm)],[424,421]) ).
tff(426,plain,
store(store(a_1364,i0,e_1365),i9,select(store(a_1364,i0,e_1365),i5)) = a_1331,
inference(transitivity,[status(thm)],[425,413]) ).
tff(427,plain,
store(store(store(a_1364,i0,e_1365),i9,select(store(a_1364,i0,e_1365),i5)),i5,select(store(a_1364,i0,e_1365),i9)) = store(a_1331,i5,e_1332),
inference(monotonicity,[status(thm)],[426,409]) ).
tff(428,plain,
( ~ ! [I: $i,A: $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)) )
| ( store(store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)),i9,select(store(a_1364,i0,e_1365),i5)) = store(store(store(a_1364,i0,e_1365),i9,select(store(a_1364,i0,e_1365),i5)),i5,select(store(a_1364,i0,e_1365),i9)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(429,plain,
store(store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)),i9,select(store(a_1364,i0,e_1365),i5)) = store(store(store(a_1364,i0,e_1365),i9,select(store(a_1364,i0,e_1365),i5)),i5,select(store(a_1364,i0,e_1365),i9)),
inference(unit_resolution,[status(thm)],[428,102]) ).
tff(430,plain,
select(a_1366,i5) = select(store(a_1364,i0,e_1365),i5),
inference(symmetry,[status(thm)],[420]) ).
tff(431,plain,
( ( e_1369 = select(a_1366,i5) )
<=> ( e_1369 = select(a_1366,i5) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(432,axiom,
e_1369 = select(a_1366,i5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp75) ).
tff(433,plain,
e_1369 = select(a_1366,i5),
inference(modus_ponens,[status(thm)],[432,431]) ).
tff(434,plain,
e_1369 = select(store(a_1364,i0,e_1365),i5),
inference(transitivity,[status(thm)],[433,430]) ).
tff(435,plain,
( ( e_1367 = select(a_1366,i9) )
<=> ( e_1367 = select(a_1366,i9) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(436,axiom,
e_1367 = select(a_1366,i9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp74) ).
tff(437,plain,
e_1367 = select(a_1366,i9),
inference(modus_ponens,[status(thm)],[436,435]) ).
tff(438,plain,
select(a_1366,i9) = e_1367,
inference(symmetry,[status(thm)],[437]) ).
tff(439,plain,
select(store(a_1364,i0,e_1365),i9) = e_1367,
inference(transitivity,[status(thm)],[408,438]) ).
tff(440,plain,
store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)) = store(a_1366,i5,e_1367),
inference(monotonicity,[status(thm)],[16,439]) ).
tff(441,plain,
store(a_1366,i5,e_1367) = store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)),
inference(symmetry,[status(thm)],[440]) ).
tff(442,plain,
( ( a_1368 = store(a_1366,i5,e_1367) )
<=> ( a_1368 = store(a_1366,i5,e_1367) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(443,axiom,
a_1368 = store(a_1366,i5,e_1367),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).
tff(444,plain,
a_1368 = store(a_1366,i5,e_1367),
inference(modus_ponens,[status(thm)],[443,442]) ).
tff(445,plain,
a_1368 = store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)),
inference(transitivity,[status(thm)],[444,441]) ).
tff(446,plain,
store(a_1368,i9,e_1369) = store(store(store(a_1364,i0,e_1365),i5,select(store(a_1364,i0,e_1365),i9)),i9,select(store(a_1364,i0,e_1365),i5)),
inference(monotonicity,[status(thm)],[445,434]) ).
tff(447,plain,
( ( a_1370 = store(a_1368,i9,e_1369) )
<=> ( a_1370 = store(a_1368,i9,e_1369) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(448,axiom,
a_1370 = store(a_1368,i9,e_1369),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).
tff(449,plain,
a_1370 = store(a_1368,i9,e_1369),
inference(modus_ponens,[status(thm)],[448,447]) ).
tff(450,plain,
a_1370 = a_1333,
inference(transitivity,[status(thm)],[449,446,429,427,8]) ).
tff(451,plain,
select(a_1370,i_1371) = select(a_1333,i_1371),
inference(monotonicity,[status(thm)],[450]) ).
tff(452,plain,
select(a_1333,i_1371) = select(a_1370,i_1371),
inference(symmetry,[status(thm)],[451]) ).
tff(453,plain,
( ( e_1372 = select(a_1333,i_1371) )
<=> ( e_1372 = select(a_1333,i_1371) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(454,axiom,
e_1372 = select(a_1333,i_1371),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp76) ).
tff(455,plain,
e_1372 = select(a_1333,i_1371),
inference(modus_ponens,[status(thm)],[454,453]) ).
tff(456,plain,
e_1372 = e_1373,
inference(transitivity,[status(thm)],[455,452,4]) ).
tff(457,plain,
( ( e_1372 != e_1373 )
<=> ( e_1372 != e_1373 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(458,axiom,
e_1372 != e_1373,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tff(459,plain,
e_1372 != e_1373,
inference(modus_ponens,[status(thm)],[458,457]) ).
tff(460,plain,
$false,
inference(unit_resolution,[status(thm)],[459,456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV547-1.010 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n008.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 : 300
% 0.12/0.34 % DateTime : Fri Jun 20 10:16:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39 % SZS output start Proof
% See solution above
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------