%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV540-1.010 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:34:28 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.56s
% Output : Proof 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV540-1.010 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 10:14:02 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % SZS status Unsatisfiable
% 0.20/0.56 % SZS output start Proof
% 0.20/0.56 tff(store_type, type, (
% 0.20/0.56 store: ( $i * $i * $i ) > $i)).
% 0.20/0.56 tff(select_type, type, (
% 0.20/0.56 select: ( $i * $i ) > $i)).
% 0.20/0.56 tff(i8_type, type, (
% 0.20/0.56 i8: $i)).
% 0.20/0.56 tff(a_1251_type, type, (
% 0.20/0.56 a_1251: $i)).
% 0.20/0.56 tff(i5_type, type, (
% 0.20/0.56 i5: $i)).
% 0.20/0.56 tff(e_1250_type, type, (
% 0.20/0.56 e_1250: $i)).
% 0.20/0.56 tff(a_1249_type, type, (
% 0.20/0.56 a_1249: $i)).
% 0.20/0.56 tff(e_1254_type, type, (
% 0.20/0.56 e_1254: $i)).
% 0.20/0.56 tff(a_1253_type, type, (
% 0.20/0.56 a_1253: $i)).
% 0.20/0.56 tff(e_1252_type, type, (
% 0.20/0.56 e_1252: $i)).
% 0.20/0.56 tff(a_1319_type, type, (
% 0.20/0.56 a_1319: $i)).
% 0.20/0.56 tff(a_1282_type, type, (
% 0.20/0.56 a_1282: $i)).
% 0.20/0.56 tff(e_1318_type, type, (
% 0.20/0.56 e_1318: $i)).
% 0.20/0.56 tff(i9_type, type, (
% 0.20/0.56 i9: $i)).
% 0.20/0.56 tff(a_1317_type, type, (
% 0.20/0.56 a_1317: $i)).
% 0.20/0.56 tff(a_1315_type, type, (
% 0.20/0.56 a_1315: $i)).
% 0.20/0.56 tff(e_1314_type, type, (
% 0.20/0.56 e_1314: $i)).
% 0.20/0.56 tff(i0_type, type, (
% 0.20/0.56 i0: $i)).
% 0.20/0.56 tff(a_1313_type, type, (
% 0.20/0.56 a_1313: $i)).
% 0.20/0.56 tff(e_1316_type, type, (
% 0.20/0.56 e_1316: $i)).
% 0.20/0.56 tff(e_1281_type, type, (
% 0.20/0.56 e_1281: $i)).
% 0.20/0.56 tff(a_1280_type, type, (
% 0.20/0.56 a_1280: $i)).
% 0.20/0.56 tff(a_1278_type, type, (
% 0.20/0.56 a_1278: $i)).
% 0.20/0.56 tff(e_1277_type, type, (
% 0.20/0.56 e_1277: $i)).
% 0.20/0.56 tff(a_1276_type, type, (
% 0.20/0.56 a_1276: $i)).
% 0.20/0.56 tff(i3_type, type, (
% 0.20/0.56 i3: $i)).
% 0.20/0.56 tff(a_1311_type, type, (
% 0.20/0.56 a_1311: $i)).
% 0.20/0.56 tff(a_1274_type, type, (
% 0.20/0.56 a_1274: $i)).
% 0.20/0.56 tff(e_1310_type, type, (
% 0.20/0.56 e_1310: $i)).
% 0.20/0.56 tff(i1_type, type, (
% 0.20/0.56 i1: $i)).
% 0.20/0.56 tff(a_1309_type, type, (
% 0.20/0.56 a_1309: $i)).
% 0.20/0.56 tff(i2_type, type, (
% 0.20/0.56 i2: $i)).
% 0.20/0.56 tff(a_1270_type, type, (
% 0.20/0.56 a_1270: $i)).
% 0.20/0.56 tff(e_1268_type, type, (
% 0.20/0.56 e_1268: $i)).
% 0.20/0.56 tff(a_1269_type, type, (
% 0.20/0.56 a_1269: $i)).
% 0.20/0.56 tff(a_1307_type, type, (
% 0.20/0.56 a_1307: $i)).
% 0.20/0.56 tff(a_1267_type, type, (
% 0.20/0.56 a_1267: $i)).
% 0.20/0.56 tff(e_1266_type, type, (
% 0.20/0.56 e_1266: $i)).
% 0.20/0.56 tff(a_1265_type, type, (
% 0.20/0.56 a_1265: $i)).
% 0.20/0.56 tff(e_1303_type, type, (
% 0.20/0.56 e_1303: $i)).
% 0.20/0.56 tff(a_1302_type, type, (
% 0.20/0.56 a_1302: $i)).
% 0.20/0.56 tff(i4_type, type, (
% 0.20/0.56 i4: $i)).
% 0.20/0.56 tff(a_1263_type, type, (
% 0.20/0.56 a_1263: $i)).
% 0.20/0.56 tff(e_1260_type, type, (
% 0.20/0.56 e_1260: $i)).
% 0.20/0.56 tff(i7_type, type, (
% 0.20/0.56 i7: $i)).
% 0.20/0.56 tff(a_1259_type, type, (
% 0.20/0.56 a_1259: $i)).
% 0.20/0.56 tff(e_1258_type, type, (
% 0.20/0.56 e_1258: $i)).
% 0.20/0.56 tff(a_1257_type, type, (
% 0.20/0.56 a_1257: $i)).
% 0.20/0.56 tff(e_1273_type, type, (
% 0.20/0.56 e_1273: $i)).
% 0.20/0.56 tff(a_1272_type, type, (
% 0.20/0.56 a_1272: $i)).
% 0.20/0.56 tff(e_1305_type, type, (
% 0.20/0.56 e_1305: $i)).
% 0.20/0.56 tff(a_1306_type, type, (
% 0.20/0.56 a_1306: $i)).
% 0.20/0.56 tff(a_1304_type, type, (
% 0.20/0.56 a_1304: $i)).
% 0.20/0.56 tff(a_1300_type, type, (
% 0.20/0.56 a_1300: $i)).
% 0.20/0.56 tff(e_1299_type, type, (
% 0.20/0.56 e_1299: $i)).
% 0.20/0.56 tff(a_1298_type, type, (
% 0.20/0.56 a_1298: $i)).
% 0.20/0.56 tff(a_1296_type, type, (
% 0.20/0.56 a_1296: $i)).
% 0.20/0.56 tff(e_1295_type, type, (
% 0.20/0.56 e_1295: $i)).
% 0.20/0.56 tff(a_1294_type, type, (
% 0.20/0.56 a_1294: $i)).
% 0.20/0.56 tff(e_1297_type, type, (
% 0.20/0.56 e_1297: $i)).
% 0.20/0.56 tff(e_1262_type, type, (
% 0.20/0.56 e_1262: $i)).
% 0.20/0.56 tff(a_1261_type, type, (
% 0.20/0.56 a_1261: $i)).
% 0.20/0.56 tff(a_1292_type, type, (
% 0.20/0.56 a_1292: $i)).
% 0.20/0.56 tff(a_1288_type, type, (
% 0.20/0.56 a_1288: $i)).
% 0.20/0.56 tff(e_1289_type, type, (
% 0.20/0.56 e_1289: $i)).
% 0.20/0.56 tff(e_1291_type, type, (
% 0.20/0.56 e_1291: $i)).
% 0.20/0.56 tff(a_1290_type, type, (
% 0.20/0.56 a_1290: $i)).
% 0.20/0.56 tff(i6_type, type, (
% 0.20/0.56 i6: $i)).
% 0.20/0.56 tff(a_1284_type, type, (
% 0.20/0.56 a_1284: $i)).
% 0.20/0.56 tff(e_1285_type, type, (
% 0.20/0.56 e_1285: $i)).
% 0.20/0.56 tff(a_1247_type, type, (
% 0.20/0.56 a_1247: $i)).
% 0.20/0.56 tff(e_1248_type, type, (
% 0.20/0.56 e_1248: $i)).
% 0.20/0.56 tff(e_1271_type, type, (
% 0.20/0.56 e_1271: $i)).
% 0.20/0.56 tff(e_1264_type, type, (
% 0.20/0.56 e_1264: $i)).
% 0.20/0.56 tff(e_1287_type, type, (
% 0.20/0.56 e_1287: $i)).
% 0.20/0.56 tff(a_1286_type, type, (
% 0.20/0.56 a_1286: $i)).
% 0.20/0.56 tff(e_1308_type, type, (
% 0.20/0.56 e_1308: $i)).
% 0.20/0.56 tff(a_1255_type, type, (
% 0.20/0.56 a_1255: $i)).
% 0.20/0.56 tff(e_1246_type, type, (
% 0.20/0.56 e_1246: $i)).
% 0.20/0.56 tff(a_1245_type, type, (
% 0.20/0.56 a_1245: $i)).
% 0.20/0.56 tff(a1_type, type, (
% 0.20/0.56 a1: $i)).
% 0.20/0.56 tff(e_1244_type, type, (
% 0.20/0.56 e_1244: $i)).
% 0.20/0.56 tff(a_1283_type, type, (
% 0.20/0.56 a_1283: $i)).
% 0.20/0.56 tff(e_1256_type, type, (
% 0.20/0.56 e_1256: $i)).
% 0.20/0.56 tff(e_1293_type, type, (
% 0.20/0.56 e_1293: $i)).
% 0.20/0.56 tff(e_1301_type, type, (
% 0.20/0.56 e_1301: $i)).
% 0.20/0.56 tff(e_1312_type, type, (
% 0.20/0.56 e_1312: $i)).
% 0.20/0.56 tff(e_1275_type, type, (
% 0.20/0.56 e_1275: $i)).
% 0.20/0.56 tff(e_1279_type, type, (
% 0.20/0.56 e_1279: $i)).
% 0.20/0.56 tff(1,plain,
% 0.20/0.56 ((e_1254 = select(a_1251, i8)) <=> (e_1254 = select(a_1251, i8))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(2,axiom,(e_1254 = select(a_1251, i8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp45')).
% 0.20/0.56 tff(3,plain,
% 0.20/0.56 (e_1254 = select(a_1251, i8)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.56 tff(4,plain,
% 0.20/0.56 (select(a_1251, i8) = e_1254),
% 0.20/0.56 inference(symmetry,[status(thm)],[3])).
% 0.20/0.56 tff(5,plain,
% 0.20/0.56 ((a_1253 = store(a_1251, i8, e_1252)) <=> (a_1253 = store(a_1251, i8, e_1252))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(6,axiom,(a_1253 = store(a_1251, i8, e_1252)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp4')).
% 0.20/0.56 tff(7,plain,
% 0.20/0.56 (a_1253 = store(a_1251, i8, e_1252)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.56 tff(8,plain,
% 0.20/0.56 (store(a_1251, i8, e_1252) = a_1253),
% 0.20/0.56 inference(symmetry,[status(thm)],[7])).
% 0.20/0.56 tff(9,plain,
% 0.20/0.56 ((e_1252 = select(a_1251, i5)) <=> (e_1252 = select(a_1251, i5))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(10,axiom,(e_1252 = select(a_1251, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp44')).
% 0.20/0.56 tff(11,plain,
% 0.20/0.56 (e_1252 = select(a_1251, i5)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.56 tff(12,plain,
% 0.20/0.56 (select(a_1251, i5) = e_1252),
% 0.20/0.56 inference(symmetry,[status(thm)],[11])).
% 0.20/0.56 tff(13,plain,
% 0.20/0.56 ((a_1251 = store(a_1249, i8, e_1250)) <=> (a_1251 = store(a_1249, i8, e_1250))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(14,axiom,(a_1251 = store(a_1249, i8, e_1250)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp3')).
% 0.20/0.56 tff(15,plain,
% 0.20/0.56 (a_1251 = store(a_1249, i8, e_1250)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.56 tff(16,plain,
% 0.20/0.56 (store(a_1249, i8, e_1250) = a_1251),
% 0.20/0.56 inference(symmetry,[status(thm)],[15])).
% 0.20/0.56 tff(17,plain,
% 0.20/0.56 (store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)) = store(a_1251, i8, e_1252)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[16, 12])).
% 0.20/0.56 tff(18,plain,
% 0.20/0.56 (store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)) = a_1253),
% 0.20/0.56 inference(transitivity,[status(thm)],[17, 8])).
% 0.20/0.56 tff(19,plain,
% 0.20/0.56 (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(a_1253, i5, e_1254)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[18, 4])).
% 0.20/0.56 tff(20,plain,
% 0.20/0.56 (store(a_1253, i5, e_1254) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8))),
% 0.20/0.56 inference(symmetry,[status(thm)],[19])).
% 0.20/0.56 tff(21,plain,
% 0.20/0.56 (^[I: $i, A: $i] : refl((store(A, I, select(A, I)) = A) <=> (store(A, I, select(A, I)) = A))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(22,plain,
% 0.20/0.56 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A) <=> ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.56 inference(quant_intro,[status(thm)],[21])).
% 0.20/0.56 tff(23,plain,
% 0.20/0.56 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A) <=> ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(24,axiom,(![I: $i, A: $i] : (store(A, I, select(A, I)) = A)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a3')).
% 0.20/0.56 tff(25,plain,
% 0.20/0.56 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.56 tff(26,plain,(
% 0.20/0.56 ![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.56 inference(skolemize,[status(sab)],[25])).
% 0.20/0.56 tff(27,plain,
% 0.20/0.56 (![I: $i, A: $i] : (store(A, I, select(A, I)) = A)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.56 tff(28,plain,
% 0.20/0.56 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5)) = store(a_1249, i8, e_1250))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(29,plain,
% 0.20/0.56 (store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5)) = store(a_1249, i8, e_1250)),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.20/0.56 tff(30,plain,
% 0.20/0.56 (select(store(a_1249, i8, e_1250), i5) = select(a_1251, i5)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[16])).
% 0.20/0.56 tff(31,plain,
% 0.20/0.56 (select(a_1251, i5) = select(store(a_1249, i8, e_1250), i5)),
% 0.20/0.56 inference(symmetry,[status(thm)],[30])).
% 0.20/0.56 tff(32,plain,
% 0.20/0.56 (e_1252 = select(store(a_1249, i8, e_1250), i5)),
% 0.20/0.56 inference(transitivity,[status(thm)],[11, 31])).
% 0.20/0.56 tff(33,plain,
% 0.20/0.56 ((a_1319 = store(a_1317, i9, e_1318)) <=> (a_1319 = store(a_1317, i9, e_1318))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(34,axiom,(a_1319 = store(a_1317, i9, e_1318)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp39')).
% 0.20/0.56 tff(35,plain,
% 0.20/0.56 (a_1319 = store(a_1317, i9, e_1318)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.56 tff(36,plain,
% 0.20/0.56 (store(a_1317, i9, e_1318) = a_1319),
% 0.20/0.56 inference(symmetry,[status(thm)],[35])).
% 0.20/0.56 tff(37,plain,
% 0.20/0.56 ((e_1318 = select(a_1315, i5)) <=> (e_1318 = select(a_1315, i5))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(38,axiom,(e_1318 = select(a_1315, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp75')).
% 0.20/0.56 tff(39,plain,
% 0.20/0.56 (e_1318 = select(a_1315, i5)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.56 tff(40,plain,
% 0.20/0.56 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9)) = store(a_1313, i0, e_1314))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(41,plain,
% 0.20/0.56 (store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9)) = store(a_1313, i0, e_1314)),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[40, 27])).
% 0.20/0.56 tff(42,plain,
% 0.20/0.56 ((a_1315 = store(a_1313, i0, e_1314)) <=> (a_1315 = store(a_1313, i0, e_1314))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(43,axiom,(a_1315 = store(a_1313, i0, e_1314)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp37')).
% 0.20/0.56 tff(44,plain,
% 0.20/0.56 (a_1315 = store(a_1313, i0, e_1314)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.56 tff(45,plain,
% 0.20/0.56 (store(a_1313, i0, e_1314) = a_1315),
% 0.20/0.56 inference(symmetry,[status(thm)],[44])).
% 0.20/0.56 tff(46,plain,
% 0.20/0.56 (select(store(a_1313, i0, e_1314), i9) = select(a_1315, i9)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[45])).
% 0.20/0.56 tff(47,plain,
% 0.20/0.56 (select(a_1315, i9) = select(store(a_1313, i0, e_1314), i9)),
% 0.20/0.56 inference(symmetry,[status(thm)],[46])).
% 0.20/0.56 tff(48,plain,
% 0.20/0.56 ((e_1316 = select(a_1315, i9)) <=> (e_1316 = select(a_1315, i9))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(49,axiom,(e_1316 = select(a_1315, i9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp74')).
% 0.20/0.56 tff(50,plain,
% 0.20/0.56 (e_1316 = select(a_1315, i9)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.20/0.56 tff(51,plain,
% 0.20/0.56 (e_1316 = select(store(a_1313, i0, e_1314), i9)),
% 0.20/0.56 inference(transitivity,[status(thm)],[50, 47])).
% 0.20/0.56 tff(52,plain,
% 0.20/0.56 ((store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))) <=> (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)))),
% 0.20/0.56 inference(commutativity,[status(thm)],[])).
% 0.20/0.56 tff(53,plain,
% 0.20/0.56 ((store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))) <=> (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.20/0.56 inference(symmetry,[status(thm)],[52])).
% 0.20/0.56 tff(54,plain,
% 0.20/0.56 (select(a_1315, i5) = e_1318),
% 0.20/0.56 inference(symmetry,[status(thm)],[39])).
% 0.20/0.56 tff(55,plain,
% 0.20/0.56 ((a_1317 = store(a_1315, i5, e_1316)) <=> (a_1317 = store(a_1315, i5, e_1316))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(56,axiom,(a_1317 = store(a_1315, i5, e_1316)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp38')).
% 0.20/0.56 tff(57,plain,
% 0.20/0.56 (a_1317 = store(a_1315, i5, e_1316)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.20/0.56 tff(58,plain,
% 0.20/0.56 (store(a_1315, i5, e_1316) = a_1317),
% 0.20/0.56 inference(symmetry,[status(thm)],[57])).
% 0.20/0.56 tff(59,plain,
% 0.20/0.56 (select(a_1315, i9) = e_1316),
% 0.20/0.56 inference(symmetry,[status(thm)],[50])).
% 0.20/0.56 tff(60,plain,
% 0.20/0.56 (store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)) = store(a_1315, i5, e_1316)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[45, 59])).
% 0.20/0.56 tff(61,plain,
% 0.20/0.56 (store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)) = a_1317),
% 0.20/0.56 inference(transitivity,[status(thm)],[60, 58])).
% 0.20/0.56 tff(62,plain,
% 0.20/0.56 (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[61, 54])).
% 0.20/0.56 tff(63,plain,
% 0.20/0.56 (store(a_1317, i9, e_1318) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.20/0.56 inference(symmetry,[status(thm)],[62])).
% 0.20/0.56 tff(64,plain,
% 0.20/0.56 (a_1319 = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.20/0.56 inference(transitivity,[status(thm)],[35, 63])).
% 0.20/0.56 tff(65,plain,
% 0.20/0.56 ((e_1281 = select(a_1278, i9)) <=> (e_1281 = select(a_1278, i9))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(66,axiom,(e_1281 = select(a_1278, i9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp58')).
% 0.20/0.56 tff(67,plain,
% 0.20/0.56 (e_1281 = select(a_1278, i9)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.20/0.56 tff(68,plain,
% 0.20/0.56 (select(a_1278, i9) = e_1281),
% 0.20/0.56 inference(symmetry,[status(thm)],[67])).
% 0.20/0.56 tff(69,plain,
% 0.20/0.56 ((e_1314 = select(a_1311, i3)) <=> (e_1314 = select(a_1311, i3))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(70,axiom,(e_1314 = select(a_1311, i3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp73')).
% 0.20/0.56 tff(71,plain,
% 0.20/0.56 (e_1314 = select(a_1311, i3)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.20/0.56 tff(72,plain,
% 0.20/0.56 (select(a_1311, i3) = e_1314),
% 0.20/0.56 inference(symmetry,[status(thm)],[71])).
% 0.20/0.56 tff(73,plain,
% 0.20/0.56 ((a_1311 = store(a_1309, i1, e_1310)) <=> (a_1311 = store(a_1309, i1, e_1310))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(74,axiom,(a_1311 = store(a_1309, i1, e_1310)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp35')).
% 0.20/0.56 tff(75,plain,
% 0.20/0.56 (a_1311 = store(a_1309, i1, e_1310)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.20/0.56 tff(76,plain,
% 0.20/0.56 (store(a_1309, i1, e_1310) = a_1311),
% 0.20/0.56 inference(symmetry,[status(thm)],[75])).
% 0.20/0.56 tff(77,plain,
% 0.20/0.56 ((e_1310 = select(a_1307, i2)) <=> (e_1310 = select(a_1307, i2))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(78,axiom,(e_1310 = select(a_1307, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp71')).
% 0.20/0.56 tff(79,plain,
% 0.20/0.56 (e_1310 = select(a_1307, i2)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.56 tff(80,plain,
% 0.20/0.56 (select(a_1307, i2) = e_1310),
% 0.20/0.56 inference(symmetry,[status(thm)],[79])).
% 0.20/0.56 tff(81,plain,
% 0.20/0.56 ((a_1270 = store(a_1269, i0, e_1268)) <=> (a_1270 = store(a_1269, i0, e_1268))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(82,axiom,(a_1270 = store(a_1269, i0, e_1268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp13')).
% 0.20/0.56 tff(83,plain,
% 0.20/0.56 (a_1270 = store(a_1269, i0, e_1268)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.20/0.56 tff(84,plain,
% 0.20/0.56 (store(a_1269, i0, e_1268) = a_1270),
% 0.20/0.56 inference(symmetry,[status(thm)],[83])).
% 0.20/0.56 tff(85,plain,
% 0.20/0.56 ((e_1268 = select(a_1267, i0)) <=> (e_1268 = select(a_1267, i0))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(86,axiom,(e_1268 = select(a_1267, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp52')).
% 0.20/0.56 tff(87,plain,
% 0.20/0.56 (e_1268 = select(a_1267, i0)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.20/0.56 tff(88,plain,
% 0.20/0.56 (select(a_1267, i0) = e_1268),
% 0.20/0.56 inference(symmetry,[status(thm)],[87])).
% 0.20/0.56 tff(89,plain,
% 0.20/0.56 ((a_1269 = store(a_1267, i0, e_1268)) <=> (a_1269 = store(a_1267, i0, e_1268))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(90,axiom,(a_1269 = store(a_1267, i0, e_1268)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp12')).
% 0.20/0.56 tff(91,plain,
% 0.20/0.56 (a_1269 = store(a_1267, i0, e_1268)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.20/0.56 tff(92,plain,
% 0.20/0.56 (store(a_1267, i0, e_1268) = a_1269),
% 0.20/0.56 inference(symmetry,[status(thm)],[91])).
% 0.20/0.56 tff(93,plain,
% 0.20/0.56 ((a_1267 = store(a_1265, i5, e_1266)) <=> (a_1267 = store(a_1265, i5, e_1266))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(94,axiom,(a_1267 = store(a_1265, i5, e_1266)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp11')).
% 0.20/0.56 tff(95,plain,
% 0.20/0.56 (a_1267 = store(a_1265, i5, e_1266)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.56 tff(96,plain,
% 0.20/0.56 (store(a_1267, i0, e_1268) = store(store(a_1265, i5, e_1266), i0, select(a_1267, i0))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[95, 87])).
% 0.20/0.56 tff(97,plain,
% 0.20/0.56 (store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)) = store(a_1267, i0, e_1268)),
% 0.20/0.56 inference(symmetry,[status(thm)],[96])).
% 0.20/0.56 tff(98,plain,
% 0.20/0.56 (store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)) = a_1269),
% 0.20/0.56 inference(transitivity,[status(thm)],[97, 92])).
% 0.20/0.56 tff(99,plain,
% 0.20/0.56 (store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0)) = store(a_1269, i0, e_1268)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[98, 88])).
% 0.20/0.56 tff(100,plain,
% 0.20/0.56 (^[I: $i, E: $i, A: $i, F: $i] : refl((store(store(A, I, E), I, F) = store(A, I, F)) <=> (store(store(A, I, E), I, F) = store(A, I, F)))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(101,plain,
% 0.20/0.56 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F)) <=> ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[100])).
% 0.20/0.56 tff(102,plain,
% 0.20/0.56 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F)) <=> ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(103,axiom,(![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a4')).
% 0.20/0.56 tff(104,plain,
% 0.20/0.56 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.56 tff(105,plain,(
% 0.20/0.56 ![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.56 inference(skolemize,[status(sab)],[104])).
% 0.20/0.56 tff(106,plain,
% 0.20/0.56 (![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[105, 101])).
% 0.20/0.56 tff(107,plain,
% 0.20/0.56 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0)) = store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(108,plain,
% 0.20/0.56 (store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0)) = store(store(a_1265, i5, e_1266), i0, select(a_1267, i0))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.20/0.56 tff(109,plain,
% 0.20/0.56 (store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)) = store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0))),
% 0.20/0.56 inference(symmetry,[status(thm)],[108])).
% 0.20/0.56 tff(110,plain,
% 0.20/0.56 (store(a_1265, i5, e_1266) = a_1267),
% 0.20/0.56 inference(symmetry,[status(thm)],[95])).
% 0.20/0.56 tff(111,plain,
% 0.20/0.56 (select(store(a_1265, i5, e_1266), i0) = select(a_1267, i0)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[110])).
% 0.20/0.56 tff(112,plain,
% 0.20/0.56 (select(store(a_1265, i5, e_1266), i0) = e_1268),
% 0.20/0.56 inference(transitivity,[status(thm)],[111, 88])).
% 0.20/0.56 tff(113,plain,
% 0.20/0.56 (store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0)) = store(a_1267, i0, e_1268)),
% 0.20/0.56 inference(monotonicity,[status(thm)],[110, 112])).
% 0.20/0.56 tff(114,plain,
% 0.20/0.56 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0)) = store(a_1265, i5, e_1266))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(115,plain,
% 0.20/0.56 (store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0)) = store(a_1265, i5, e_1266)),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[114, 27])).
% 0.20/0.56 tff(116,plain,
% 0.20/0.56 (store(a_1265, i5, e_1266) = store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0))),
% 0.20/0.56 inference(symmetry,[status(thm)],[115])).
% 0.20/0.56 tff(117,plain,
% 0.20/0.56 ((e_1266 = select(a_1263, i4)) <=> (e_1266 = select(a_1263, i4))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(118,axiom,(e_1266 = select(a_1263, i4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp51')).
% 0.20/0.56 tff(119,plain,
% 0.20/0.56 (e_1266 = select(a_1263, i4)),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.20/0.56 tff(120,plain,
% 0.20/0.56 (select(a_1263, i4) = e_1266),
% 0.20/0.56 inference(symmetry,[status(thm)],[119])).
% 0.20/0.56 tff(121,plain,
% 0.20/0.57 ((a_1259 = store(a_1257, i9, e_1258)) <=> (a_1259 = store(a_1257, i9, e_1258))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(122,axiom,(a_1259 = store(a_1257, i9, e_1258)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp7')).
% 0.20/0.57 tff(123,plain,
% 0.20/0.57 (a_1259 = store(a_1257, i9, e_1258)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.20/0.57 tff(124,plain,
% 0.20/0.57 (store(a_1257, i9, e_1258) = a_1259),
% 0.20/0.57 inference(symmetry,[status(thm)],[123])).
% 0.20/0.57 tff(125,plain,
% 0.20/0.57 (select(store(a_1257, i9, e_1258), i1) = select(a_1259, i1)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[124])).
% 0.20/0.57 tff(126,plain,
% 0.20/0.57 (select(a_1259, i1) = select(store(a_1257, i9, e_1258), i1)),
% 0.20/0.57 inference(symmetry,[status(thm)],[125])).
% 0.20/0.57 tff(127,plain,
% 0.20/0.57 ((e_1260 = select(a_1259, i1)) <=> (e_1260 = select(a_1259, i1))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(128,axiom,(e_1260 = select(a_1259, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp48')).
% 0.20/0.57 tff(129,plain,
% 0.20/0.57 (e_1260 = select(a_1259, i1)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.57 tff(130,plain,
% 0.20/0.57 (e_1260 = select(store(a_1257, i9, e_1258), i1)),
% 0.20/0.57 inference(transitivity,[status(thm)],[129, 126])).
% 0.20/0.57 tff(131,plain,
% 0.20/0.57 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i5, select(a_1315, i9))),
% 0.20/0.57 inference(symmetry,[status(thm)],[60])).
% 0.20/0.57 tff(132,plain,
% 0.20/0.57 (select(store(a_1315, i5, e_1316), i5) = select(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i5)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[131])).
% 0.20/0.57 tff(133,plain,
% 0.20/0.57 (select(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i5) = select(store(a_1315, i5, e_1316), i5)),
% 0.20/0.57 inference(symmetry,[status(thm)],[132])).
% 0.20/0.57 tff(134,plain,
% 0.20/0.57 (![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)),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(135,plain,
% 0.20/0.57 (![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)),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(136,axiom,(![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a1')).
% 0.20/0.57 tff(137,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.57 tff(138,plain,(
% 0.20/0.57 ![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.57 inference(skolemize,[status(sab)],[137])).
% 0.20/0.57 tff(139,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[138, 134])).
% 0.20/0.57 tff(140,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i5) = select(a_1315, i9))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(141,plain,
% 0.20/0.57 (select(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i5) = select(a_1315, i9)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.20/0.57 tff(142,plain,
% 0.20/0.57 (select(a_1315, i9) = select(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i5)),
% 0.20/0.57 inference(symmetry,[status(thm)],[141])).
% 0.20/0.57 tff(143,plain,
% 0.20/0.57 ((a_1278 = store(a_1276, i0, e_1277)) <=> (a_1278 = store(a_1276, i0, e_1277))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(144,axiom,(a_1278 = store(a_1276, i0, e_1277)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp17')).
% 0.20/0.57 tff(145,plain,
% 0.20/0.57 (a_1278 = store(a_1276, i0, e_1277)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.20/0.57 tff(146,plain,
% 0.20/0.57 (store(a_1276, i0, e_1277) = a_1278),
% 0.20/0.57 inference(symmetry,[status(thm)],[145])).
% 0.20/0.57 tff(147,plain,
% 0.20/0.57 ((e_1277 = select(a_1274, i3)) <=> (e_1277 = select(a_1274, i3))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(148,axiom,(e_1277 = select(a_1274, i3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp56')).
% 0.20/0.57 tff(149,plain,
% 0.20/0.57 (e_1277 = select(a_1274, i3)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.20/0.57 tff(150,plain,
% 0.20/0.57 (select(a_1274, i3) = e_1277),
% 0.20/0.57 inference(symmetry,[status(thm)],[149])).
% 0.20/0.57 tff(151,plain,
% 0.20/0.57 ((a_1274 = store(a_1272, i2, e_1273)) <=> (a_1274 = store(a_1272, i2, e_1273))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(152,axiom,(a_1274 = store(a_1272, i2, e_1273)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp15')).
% 0.20/0.57 tff(153,plain,
% 0.20/0.57 (a_1274 = store(a_1272, i2, e_1273)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.20/0.57 tff(154,plain,
% 0.20/0.57 (store(a_1272, i2, e_1273) = a_1274),
% 0.20/0.57 inference(symmetry,[status(thm)],[153])).
% 0.20/0.57 tff(155,plain,
% 0.20/0.57 ((e_1273 = select(a_1270, i1)) <=> (e_1273 = select(a_1270, i1))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(156,axiom,(e_1273 = select(a_1270, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp54')).
% 0.20/0.57 tff(157,plain,
% 0.20/0.57 (e_1273 = select(a_1270, i1)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.20/0.57 tff(158,plain,
% 0.20/0.57 (select(a_1270, i1) = e_1273),
% 0.20/0.57 inference(symmetry,[status(thm)],[157])).
% 0.20/0.57 tff(159,plain,
% 0.20/0.57 ((a_1307 = store(a_1306, i0, e_1305)) <=> (a_1307 = store(a_1306, i0, e_1305))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(160,axiom,(a_1307 = store(a_1306, i0, e_1305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp33')).
% 0.20/0.57 tff(161,plain,
% 0.20/0.57 (a_1307 = store(a_1306, i0, e_1305)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.57 tff(162,plain,
% 0.20/0.57 (store(a_1306, i0, e_1305) = a_1307),
% 0.20/0.57 inference(symmetry,[status(thm)],[161])).
% 0.20/0.57 tff(163,plain,
% 0.20/0.57 ((e_1305 = select(a_1304, i0)) <=> (e_1305 = select(a_1304, i0))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(164,axiom,(e_1305 = select(a_1304, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp69')).
% 0.20/0.57 tff(165,plain,
% 0.20/0.57 (e_1305 = select(a_1304, i0)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.20/0.57 tff(166,plain,
% 0.20/0.57 (select(a_1304, i0) = e_1305),
% 0.20/0.57 inference(symmetry,[status(thm)],[165])).
% 0.20/0.57 tff(167,plain,
% 0.20/0.57 ((a_1306 = store(a_1304, i0, e_1305)) <=> (a_1306 = store(a_1304, i0, e_1305))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(168,axiom,(a_1306 = store(a_1304, i0, e_1305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp32')).
% 0.20/0.57 tff(169,plain,
% 0.20/0.57 (a_1306 = store(a_1304, i0, e_1305)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.20/0.57 tff(170,plain,
% 0.20/0.57 (store(a_1304, i0, e_1305) = a_1306),
% 0.20/0.57 inference(symmetry,[status(thm)],[169])).
% 0.20/0.57 tff(171,plain,
% 0.20/0.57 ((a_1304 = store(a_1302, i5, e_1303)) <=> (a_1304 = store(a_1302, i5, e_1303))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(172,axiom,(a_1304 = store(a_1302, i5, e_1303)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp31')).
% 0.20/0.57 tff(173,plain,
% 0.20/0.57 (a_1304 = store(a_1302, i5, e_1303)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.20/0.57 tff(174,plain,
% 0.20/0.57 (store(a_1304, i0, e_1305) = store(store(a_1302, i5, e_1303), i0, select(a_1304, i0))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[173, 165])).
% 0.20/0.57 tff(175,plain,
% 0.20/0.57 (store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)) = store(a_1304, i0, e_1305)),
% 0.20/0.57 inference(symmetry,[status(thm)],[174])).
% 0.20/0.57 tff(176,plain,
% 0.20/0.57 (store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)) = a_1306),
% 0.20/0.57 inference(transitivity,[status(thm)],[175, 170])).
% 0.20/0.57 tff(177,plain,
% 0.20/0.57 (store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0)) = store(a_1306, i0, e_1305)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[176, 166])).
% 0.20/0.57 tff(178,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0)) = store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(179,plain,
% 0.20/0.57 (store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0)) = store(store(a_1302, i5, e_1303), i0, select(a_1304, i0))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[178, 106])).
% 0.20/0.57 tff(180,plain,
% 0.20/0.57 (store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)) = store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0))),
% 0.20/0.57 inference(symmetry,[status(thm)],[179])).
% 0.20/0.57 tff(181,plain,
% 0.20/0.57 (store(a_1302, i5, e_1303) = a_1304),
% 0.20/0.57 inference(symmetry,[status(thm)],[173])).
% 0.20/0.57 tff(182,plain,
% 0.20/0.57 (select(store(a_1302, i5, e_1303), i0) = select(a_1304, i0)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[181])).
% 0.20/0.57 tff(183,plain,
% 0.20/0.57 (select(store(a_1302, i5, e_1303), i0) = e_1305),
% 0.20/0.57 inference(transitivity,[status(thm)],[182, 166])).
% 0.20/0.57 tff(184,plain,
% 0.20/0.57 (store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0)) = store(a_1304, i0, e_1305)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[181, 183])).
% 0.20/0.57 tff(185,plain,
% 0.20/0.57 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0)) = store(a_1302, i5, e_1303))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(186,plain,
% 0.20/0.57 (store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0)) = store(a_1302, i5, e_1303)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[185, 27])).
% 0.20/0.57 tff(187,plain,
% 0.20/0.57 (store(a_1302, i5, e_1303) = store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0))),
% 0.20/0.57 inference(symmetry,[status(thm)],[186])).
% 0.20/0.57 tff(188,plain,
% 0.20/0.57 ((e_1303 = select(a_1300, i4)) <=> (e_1303 = select(a_1300, i4))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(189,axiom,(e_1303 = select(a_1300, i4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp68')).
% 0.20/0.57 tff(190,plain,
% 0.20/0.57 (e_1303 = select(a_1300, i4)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.20/0.57 tff(191,plain,
% 0.20/0.57 (select(a_1300, i4) = e_1303),
% 0.20/0.57 inference(symmetry,[status(thm)],[190])).
% 0.20/0.57 tff(192,plain,
% 0.20/0.57 ((a_1300 = store(a_1298, i7, e_1299)) <=> (a_1300 = store(a_1298, i7, e_1299))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(193,axiom,(a_1300 = store(a_1298, i7, e_1299)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp29')).
% 0.20/0.57 tff(194,plain,
% 0.20/0.57 (a_1300 = store(a_1298, i7, e_1299)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.20/0.57 tff(195,plain,
% 0.20/0.57 (store(a_1298, i7, e_1299) = a_1300),
% 0.20/0.57 inference(symmetry,[status(thm)],[194])).
% 0.20/0.57 tff(196,plain,
% 0.20/0.57 ((e_1299 = select(a_1296, i1)) <=> (e_1299 = select(a_1296, i1))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(197,axiom,(e_1299 = select(a_1296, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp66')).
% 0.20/0.57 tff(198,plain,
% 0.20/0.57 (e_1299 = select(a_1296, i1)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.20/0.57 tff(199,plain,
% 0.20/0.57 (select(a_1296, i1) = e_1299),
% 0.20/0.57 inference(symmetry,[status(thm)],[198])).
% 0.20/0.57 tff(200,plain,
% 0.20/0.57 ((a_1298 = store(a_1296, i1, e_1297)) <=> (a_1298 = store(a_1296, i1, e_1297))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(201,axiom,(a_1298 = store(a_1296, i1, e_1297)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp28')).
% 0.20/0.57 tff(202,plain,
% 0.20/0.57 (a_1298 = store(a_1296, i1, e_1297)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.20/0.57 tff(203,plain,
% 0.20/0.57 (store(a_1296, i1, e_1297) = a_1298),
% 0.20/0.57 inference(symmetry,[status(thm)],[202])).
% 0.20/0.57 tff(204,plain,
% 0.20/0.57 ((e_1297 = select(a_1296, i7)) <=> (e_1297 = select(a_1296, i7))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(205,axiom,(e_1297 = select(a_1296, i7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp65')).
% 0.20/0.57 tff(206,plain,
% 0.20/0.57 (e_1297 = select(a_1296, i7)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.20/0.57 tff(207,plain,
% 0.20/0.57 (select(a_1296, i7) = e_1297),
% 0.20/0.57 inference(symmetry,[status(thm)],[206])).
% 0.20/0.57 tff(208,plain,
% 0.20/0.57 ((a_1296 = store(a_1294, i9, e_1295)) <=> (a_1296 = store(a_1294, i9, e_1295))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(209,axiom,(a_1296 = store(a_1294, i9, e_1295)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp27')).
% 0.20/0.57 tff(210,plain,
% 0.20/0.57 (a_1296 = store(a_1294, i9, e_1295)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.20/0.57 tff(211,plain,
% 0.20/0.57 (store(a_1294, i9, e_1295) = a_1296),
% 0.20/0.57 inference(symmetry,[status(thm)],[210])).
% 0.20/0.57 tff(212,plain,
% 0.20/0.57 (store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)) = store(a_1296, i1, e_1297)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[211, 207])).
% 0.20/0.57 tff(213,plain,
% 0.20/0.57 (store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)) = a_1298),
% 0.20/0.57 inference(transitivity,[status(thm)],[212, 203])).
% 0.20/0.57 tff(214,plain,
% 0.20/0.57 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)) = store(a_1298, i7, e_1299)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[213, 199])).
% 0.20/0.57 tff(215,assumption,(~(i7 = i1)), introduced(assumption)).
% 0.20/0.57 tff(216,plain,
% 0.20/0.57 (^[I: $i, E: $i, A: $i, J: $i, F: $i] : refl(((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(217,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[216])).
% 0.20/0.57 tff(218,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E))) <=> ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(219,axiom,(![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5')).
% 0.20/0.57 tff(220,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.20/0.57 tff(221,plain,(
% 0.20/0.57 ![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.57 inference(skolemize,[status(sab)],[220])).
% 0.20/0.57 tff(222,plain,
% 0.20/0.57 (![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[221, 217])).
% 0.20/0.57 tff(223,plain,
% 0.20/0.57 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(224,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(225,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.20/0.57 tff(226,plain,
% 0.20/0.57 ((i7 = i1) | (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[225, 222])).
% 0.20/0.57 tff(227,plain,
% 0.20/0.57 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[226, 215])).
% 0.20/0.57 tff(228,plain,
% 0.20/0.57 ((e_1295 = select(a_1292, i4)) <=> (e_1295 = select(a_1292, i4))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(229,axiom,(e_1295 = select(a_1292, i4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp64')).
% 0.20/0.57 tff(230,plain,
% 0.20/0.57 (e_1295 = select(a_1292, i4)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.20/0.57 tff(231,plain,
% 0.20/0.57 (select(a_1292, i4) = e_1295),
% 0.20/0.57 inference(symmetry,[status(thm)],[230])).
% 0.20/0.57 tff(232,plain,
% 0.20/0.57 ((a_1292 = store(a_1290, i8, e_1291)) <=> (a_1292 = store(a_1290, i8, e_1291))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(233,axiom,(a_1292 = store(a_1290, i8, e_1291)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp25')).
% 0.20/0.57 tff(234,plain,
% 0.20/0.57 (a_1292 = store(a_1290, i8, e_1291)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.20/0.57 tff(235,plain,
% 0.20/0.57 (store(a_1290, i8, e_1291) = a_1292),
% 0.20/0.57 inference(symmetry,[status(thm)],[234])).
% 0.20/0.57 tff(236,plain,
% 0.20/0.57 ((e_1291 = select(a_1288, i5)) <=> (e_1291 = select(a_1288, i5))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(237,axiom,(e_1291 = select(a_1288, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp62')).
% 0.20/0.57 tff(238,plain,
% 0.20/0.57 (e_1291 = select(a_1288, i5)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.20/0.57 tff(239,plain,
% 0.20/0.57 (select(a_1288, i5) = e_1291),
% 0.20/0.57 inference(symmetry,[status(thm)],[238])).
% 0.20/0.57 tff(240,plain,
% 0.20/0.57 ((a_1290 = store(a_1288, i5, e_1289)) <=> (a_1290 = store(a_1288, i5, e_1289))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(241,axiom,(a_1290 = store(a_1288, i5, e_1289)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp24')).
% 0.20/0.57 tff(242,plain,
% 0.20/0.57 (a_1290 = store(a_1288, i5, e_1289)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.20/0.57 tff(243,plain,
% 0.20/0.57 (store(a_1288, i5, e_1289) = a_1290),
% 0.20/0.57 inference(symmetry,[status(thm)],[242])).
% 0.20/0.57 tff(244,plain,
% 0.20/0.57 (store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)) = store(a_1290, i8, e_1291)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[243, 239])).
% 0.20/0.57 tff(245,plain,
% 0.20/0.57 (store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)) = a_1292),
% 0.20/0.57 inference(transitivity,[status(thm)],[244, 235])).
% 0.20/0.57 tff(246,plain,
% 0.20/0.57 (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(a_1292, i4)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[245])).
% 0.20/0.57 tff(247,plain,
% 0.20/0.57 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(248,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(249,plain,
% 0.20/0.57 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.20/0.57 tff(250,plain,
% 0.20/0.57 ((i7 = i1) | (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[249, 222])).
% 0.20/0.57 tff(251,plain,
% 0.20/0.57 (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[250, 215])).
% 0.20/0.57 tff(252,assumption,(~(i8 = i5)), introduced(assumption)).
% 0.20/0.58 tff(253,plain,
% 0.20/0.58 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(254,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(255,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.20/0.58 tff(256,plain,
% 0.20/0.58 ((i8 = i5) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[255, 222])).
% 0.20/0.58 tff(257,plain,
% 0.20/0.58 (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[256, 252])).
% 0.20/0.58 tff(258,plain,
% 0.20/0.58 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(259,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(260,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.20/0.58 tff(261,plain,
% 0.20/0.58 ((i8 = i5) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[260, 222])).
% 0.20/0.58 tff(262,plain,
% 0.20/0.58 (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[261, 252])).
% 0.20/0.58 tff(263,plain,
% 0.20/0.58 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(264,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(265,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.20/0.58 tff(266,plain,
% 0.20/0.58 ((i8 = i5) | (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[265, 222])).
% 0.20/0.58 tff(267,plain,
% 0.20/0.58 (store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[266, 252])).
% 0.20/0.58 tff(268,plain,
% 0.20/0.58 ((a_1272 = store(a_1270, i1, e_1271)) <=> (a_1272 = store(a_1270, i1, e_1271))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(269,axiom,(a_1272 = store(a_1270, i1, e_1271)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp14')).
% 0.20/0.58 tff(270,plain,
% 0.20/0.58 (a_1272 = store(a_1270, i1, e_1271)),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.20/0.58 tff(271,plain,
% 0.20/0.58 (store(a_1270, i1, e_1271) = a_1272),
% 0.20/0.58 inference(symmetry,[status(thm)],[270])).
% 0.20/0.58 tff(272,plain,
% 0.20/0.58 ((e_1271 = select(a_1270, i2)) <=> (e_1271 = select(a_1270, i2))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(273,axiom,(e_1271 = select(a_1270, i2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp53')).
% 0.20/0.58 tff(274,plain,
% 0.20/0.58 (e_1271 = select(a_1270, i2)),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.20/0.58 tff(275,plain,
% 0.20/0.58 (select(a_1270, i2) = e_1271),
% 0.20/0.58 inference(symmetry,[status(thm)],[274])).
% 0.20/0.58 tff(276,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)) = store(a_1270, i1, e_1271)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[84, 275])).
% 0.20/0.58 tff(277,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)) = a_1272),
% 0.20/0.58 inference(transitivity,[status(thm)],[276, 271])).
% 0.20/0.58 tff(278,plain,
% 0.20/0.58 (store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)) = store(a_1272, i2, e_1273)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[277, 158])).
% 0.20/0.58 tff(279,plain,
% 0.20/0.58 (store(a_1272, i2, e_1273) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.20/0.58 inference(symmetry,[status(thm)],[278])).
% 0.20/0.58 tff(280,plain,
% 0.20/0.58 (store(a_1270, i1, e_1271) = store(store(a_1269, i0, e_1268), i1, select(a_1270, i2))),
% 0.20/0.58 inference(symmetry,[status(thm)],[276])).
% 0.20/0.58 tff(281,plain,
% 0.20/0.58 (select(store(a_1270, i1, e_1271), i1) = select(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i1)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[280])).
% 0.20/0.58 tff(282,plain,
% 0.20/0.58 (select(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i1) = select(store(a_1270, i1, e_1271), i1)),
% 0.20/0.58 inference(symmetry,[status(thm)],[281])).
% 0.20/0.58 tff(283,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i1) = select(a_1270, i2))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(284,plain,
% 0.20/0.58 (select(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i1) = select(a_1270, i2)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[283, 139])).
% 0.20/0.58 tff(285,plain,
% 0.20/0.58 (select(a_1270, i2) = select(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i1)),
% 0.20/0.58 inference(symmetry,[status(thm)],[284])).
% 0.20/0.58 tff(286,assumption,(~(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)))), introduced(assumption)).
% 0.20/0.58 tff(287,plain,
% 0.20/0.58 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(288,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(289,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.20/0.58 tff(290,plain,
% 0.20/0.58 ((i2 = i1) | (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[289, 222])).
% 0.20/0.58 tff(291,plain,
% 0.20/0.58 (i2 = i1),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[290, 286])).
% 0.20/0.58 tff(292,plain,
% 0.20/0.58 (select(a_1270, i2) = select(a_1270, i1)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[291])).
% 0.20/0.58 tff(293,plain,
% 0.20/0.58 (select(a_1270, i1) = select(a_1270, i2)),
% 0.20/0.58 inference(symmetry,[status(thm)],[292])).
% 0.20/0.58 tff(294,plain,
% 0.20/0.58 (e_1273 = select(store(a_1270, i1, e_1271), i1)),
% 0.20/0.58 inference(transitivity,[status(thm)],[157, 293, 285, 282])).
% 0.20/0.58 tff(295,plain,
% 0.20/0.58 (store(a_1272, i2, e_1273) = store(store(a_1270, i1, e_1271), i1, select(store(a_1270, i1, e_1271), i1))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[270, 291, 294])).
% 0.20/0.58 tff(296,plain,
% 0.20/0.58 (store(store(a_1270, i1, e_1271), i1, select(store(a_1270, i1, e_1271), i1)) = store(a_1272, i2, e_1273)),
% 0.20/0.58 inference(symmetry,[status(thm)],[295])).
% 0.20/0.58 tff(297,plain,
% 0.20/0.58 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1270, i1, e_1271), i1, select(store(a_1270, i1, e_1271), i1)) = store(a_1270, i1, e_1271))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(298,plain,
% 0.20/0.58 (store(store(a_1270, i1, e_1271), i1, select(store(a_1270, i1, e_1271), i1)) = store(a_1270, i1, e_1271)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[297, 27])).
% 0.20/0.58 tff(299,plain,
% 0.20/0.58 (store(a_1270, i1, e_1271) = store(store(a_1270, i1, e_1271), i1, select(store(a_1270, i1, e_1271), i1))),
% 0.20/0.58 inference(symmetry,[status(thm)],[298])).
% 0.20/0.58 tff(300,plain,
% 0.20/0.58 (select(store(a_1269, i0, e_1268), i2) = select(a_1270, i2)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[84])).
% 0.20/0.58 tff(301,plain,
% 0.20/0.58 (select(a_1270, i2) = select(store(a_1269, i0, e_1268), i2)),
% 0.20/0.58 inference(symmetry,[status(thm)],[300])).
% 0.20/0.58 tff(302,plain,
% 0.20/0.58 (e_1271 = select(store(a_1269, i0, e_1268), i2)),
% 0.20/0.58 inference(transitivity,[status(thm)],[274, 301])).
% 0.20/0.58 tff(303,plain,
% 0.20/0.58 (i1 = i2),
% 0.20/0.58 inference(symmetry,[status(thm)],[291])).
% 0.20/0.58 tff(304,plain,
% 0.20/0.58 (store(a_1270, i1, e_1271) = store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[83, 303, 302])).
% 0.20/0.58 tff(305,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2)) = store(a_1270, i1, e_1271)),
% 0.20/0.58 inference(symmetry,[status(thm)],[304])).
% 0.20/0.58 tff(306,plain,
% 0.20/0.58 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2)) = store(a_1269, i0, e_1268))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(307,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2)) = store(a_1269, i0, e_1268)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[306, 27])).
% 0.20/0.58 tff(308,plain,
% 0.20/0.58 (store(a_1269, i0, e_1268) = store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2))),
% 0.20/0.58 inference(symmetry,[status(thm)],[307])).
% 0.20/0.58 tff(309,plain,
% 0.20/0.58 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1)) = store(a_1269, i0, e_1268))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(310,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1)) = store(a_1269, i0, e_1268)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[309, 27])).
% 0.20/0.58 tff(311,plain,
% 0.20/0.58 (select(store(a_1269, i0, e_1268), i1) = select(a_1270, i1)),
% 0.20/0.58 inference(monotonicity,[status(thm)],[84])).
% 0.20/0.58 tff(312,plain,
% 0.20/0.58 (select(a_1270, i1) = select(store(a_1269, i0, e_1268), i1)),
% 0.20/0.58 inference(symmetry,[status(thm)],[311])).
% 0.20/0.58 tff(313,plain,
% 0.20/0.58 (select(a_1270, i2) = select(store(a_1269, i0, e_1268), i1)),
% 0.20/0.58 inference(transitivity,[status(thm)],[292, 312])).
% 0.20/0.58 tff(314,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[291, 312])).
% 0.20/0.58 tff(315,plain,
% 0.20/0.58 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1269, i0, e_1268)),
% 0.20/0.58 inference(transitivity,[status(thm)],[314, 310])).
% 0.20/0.58 tff(316,plain,
% 0.20/0.58 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[315, 313])).
% 0.20/0.58 tff(317,plain,
% 0.20/0.58 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.20/0.58 inference(transitivity,[status(thm)],[316, 310, 308, 305, 299, 296, 279])).
% 0.20/0.58 tff(318,plain,
% 0.20/0.58 ($false),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[286, 317])).
% 0.20/0.58 tff(319,plain,(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.58 tff(320,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i5) = select(a_1263, i4))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(321,plain,
% 0.20/0.58 (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i5) = select(a_1263, i4)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[320, 139])).
% 0.20/0.58 tff(322,plain,
% 0.20/0.58 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i8, select(a_1288, i5)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(323,plain,
% 0.20/0.58 (store(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i8, select(a_1288, i5)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[322, 106])).
% 0.20/0.59 tff(324,plain,
% 0.20/0.59 ((e_1289 = select(a_1288, i8)) <=> (e_1289 = select(a_1288, i8))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(325,axiom,(e_1289 = select(a_1288, i8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp61')).
% 0.20/0.59 tff(326,plain,
% 0.20/0.59 (e_1289 = select(a_1288, i8)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.20/0.59 tff(327,plain,
% 0.20/0.59 (select(a_1288, i8) = e_1289),
% 0.20/0.59 inference(symmetry,[status(thm)],[326])).
% 0.20/0.59 tff(328,plain,
% 0.20/0.59 ((a_1288 = store(a_1286, i8, e_1287)) <=> (a_1288 = store(a_1286, i8, e_1287))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(329,axiom,(a_1288 = store(a_1286, i8, e_1287)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp23')).
% 0.20/0.59 tff(330,plain,
% 0.20/0.59 (a_1288 = store(a_1286, i8, e_1287)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[329, 328])).
% 0.20/0.59 tff(331,plain,
% 0.20/0.59 (store(a_1286, i8, e_1287) = a_1288),
% 0.20/0.59 inference(symmetry,[status(thm)],[330])).
% 0.20/0.59 tff(332,plain,
% 0.20/0.59 ((e_1287 = select(a_1284, i6)) <=> (e_1287 = select(a_1284, i6))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(333,axiom,(e_1287 = select(a_1284, i6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp60')).
% 0.20/0.59 tff(334,plain,
% 0.20/0.59 (e_1287 = select(a_1284, i6)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[333, 332])).
% 0.20/0.59 tff(335,plain,
% 0.20/0.59 (select(a_1284, i6) = e_1287),
% 0.20/0.59 inference(symmetry,[status(thm)],[334])).
% 0.20/0.59 tff(336,plain,
% 0.20/0.59 ((a_1286 = store(a_1284, i6, e_1285)) <=> (a_1286 = store(a_1284, i6, e_1285))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(337,axiom,(a_1286 = store(a_1284, i6, e_1285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp22')).
% 0.20/0.59 tff(338,plain,
% 0.20/0.59 (a_1286 = store(a_1284, i6, e_1285)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.20/0.59 tff(339,plain,
% 0.20/0.59 (store(a_1284, i6, e_1285) = a_1286),
% 0.20/0.59 inference(symmetry,[status(thm)],[338])).
% 0.20/0.59 tff(340,plain,
% 0.20/0.59 (store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)) = store(a_1286, i8, e_1287)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[339, 335])).
% 0.20/0.59 tff(341,plain,
% 0.20/0.59 (store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)) = a_1288),
% 0.20/0.59 inference(transitivity,[status(thm)],[340, 331])).
% 0.20/0.59 tff(342,plain,
% 0.20/0.59 (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(a_1288, i5, e_1289)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[341, 327])).
% 0.20/0.59 tff(343,plain,
% 0.20/0.59 (store(a_1288, i5, e_1289) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8))),
% 0.20/0.59 inference(symmetry,[status(thm)],[342])).
% 0.20/0.59 tff(344,plain,
% 0.20/0.59 (a_1290 = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))),
% 0.20/0.59 inference(transitivity,[status(thm)],[242, 343, 257])).
% 0.20/0.59 tff(345,plain,
% 0.20/0.59 (store(a_1290, i8, e_1291) = store(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i8, select(a_1288, i5))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[344, 238])).
% 0.20/0.59 tff(346,plain,
% 0.20/0.59 (a_1292 = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5))),
% 0.20/0.59 inference(transitivity,[status(thm)],[234, 345, 323])).
% 0.20/0.59 tff(347,plain,
% 0.20/0.59 (select(a_1292, i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[346])).
% 0.20/0.59 tff(348,assumption,(~(i8 = i4)), introduced(assumption)).
% 0.20/0.59 tff(349,plain,
% 0.20/0.59 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(350,plain,
% 0.20/0.59 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J))) <=> ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(351,axiom,(![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a2')).
% 0.20/0.59 tff(352,plain,
% 0.20/0.59 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.20/0.59 tff(353,plain,(
% 0.20/0.59 ![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.59 inference(skolemize,[status(sab)],[352])).
% 0.20/0.59 tff(354,plain,
% 0.20/0.59 (![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[353, 349])).
% 0.20/0.59 tff(355,plain,
% 0.20/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(356,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(357,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.20/0.59 tff(358,plain,
% 0.20/0.59 ((i8 = i4) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[357, 354])).
% 0.20/0.59 tff(359,plain,
% 0.20/0.59 (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[358, 348])).
% 0.20/0.59 tff(360,plain,
% 0.20/0.59 (select(store(a_1288, i5, e_1289), i4) = select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4)),
% 0.20/0.59 inference(symmetry,[status(thm)],[359])).
% 0.20/0.59 tff(361,plain,
% 0.20/0.59 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8))),
% 0.20/0.59 inference(symmetry,[status(thm)],[257])).
% 0.20/0.59 tff(362,plain,
% 0.20/0.59 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)) = store(a_1288, i5, e_1289)),
% 0.20/0.59 inference(transitivity,[status(thm)],[361, 342])).
% 0.20/0.59 tff(363,plain,
% 0.20/0.59 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[362])).
% 0.20/0.59 tff(364,plain,
% 0.20/0.59 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4)),
% 0.20/0.59 inference(transitivity,[status(thm)],[363, 360, 246, 347])).
% 0.20/0.59 tff(365,plain,
% 0.20/0.59 ((select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)) <=> (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[364])).
% 0.20/0.59 tff(366,plain,
% 0.20/0.59 ((select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)) <=> (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.20/0.59 inference(symmetry,[status(thm)],[365])).
% 0.20/0.59 tff(367,plain,
% 0.20/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(368,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(369,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.20/0.59 tff(370,plain,
% 0.20/0.59 ((i8 = i4) | (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[369, 354])).
% 0.20/0.59 tff(371,plain,
% 0.20/0.59 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[370, 348])).
% 0.20/0.59 tff(372,plain,
% 0.20/0.59 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[371, 366])).
% 0.20/0.59 tff(373,plain,
% 0.20/0.59 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(374,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i4) | (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(375,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i4) | (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.20/0.59 tff(376,plain,
% 0.20/0.59 ((i8 = i4) | (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[375, 354])).
% 0.20/0.59 tff(377,plain,
% 0.20/0.59 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[376, 348])).
% 0.20/0.59 tff(378,assumption,(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)), introduced(assumption)).
% 0.20/0.59 tff(379,assumption,(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)), introduced(assumption)).
% 0.20/0.59 tff(380,assumption,(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)), introduced(assumption)).
% 0.20/0.59 tff(381,plain,
% 0.20/0.59 ((a_1309 = store(a_1307, i2, e_1308)) <=> (a_1309 = store(a_1307, i2, e_1308))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(382,axiom,(a_1309 = store(a_1307, i2, e_1308)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp34')).
% 0.20/0.59 tff(383,plain,
% 0.20/0.59 (a_1309 = store(a_1307, i2, e_1308)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[382, 381])).
% 0.20/0.59 tff(384,plain,
% 0.20/0.59 (store(a_1307, i2, e_1308) = a_1309),
% 0.20/0.59 inference(symmetry,[status(thm)],[383])).
% 0.20/0.59 tff(385,plain,
% 0.20/0.59 ((e_1308 = select(a_1307, i1)) <=> (e_1308 = select(a_1307, i1))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(386,axiom,(e_1308 = select(a_1307, i1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp70')).
% 0.20/0.59 tff(387,plain,
% 0.20/0.59 (e_1308 = select(a_1307, i1)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[386, 385])).
% 0.20/0.59 tff(388,plain,
% 0.20/0.59 (select(a_1307, i1) = e_1308),
% 0.20/0.59 inference(symmetry,[status(thm)],[387])).
% 0.20/0.59 tff(389,plain,
% 0.20/0.59 (store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)) = store(a_1307, i2, e_1308)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[162, 388])).
% 0.20/0.59 tff(390,plain,
% 0.20/0.59 (store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)) = a_1309),
% 0.20/0.59 inference(transitivity,[status(thm)],[389, 384])).
% 0.20/0.59 tff(391,plain,
% 0.20/0.59 (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(a_1309, i1, e_1310)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[390, 80])).
% 0.20/0.59 tff(392,plain,
% 0.20/0.59 (store(a_1309, i1, e_1310) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2))),
% 0.20/0.59 inference(symmetry,[status(thm)],[391])).
% 0.20/0.59 tff(393,plain,
% 0.20/0.59 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1)) = store(a_1306, i0, e_1305))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(394,plain,
% 0.20/0.59 (store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1)) = store(a_1306, i0, e_1305)),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[393, 27])).
% 0.20/0.59 tff(395,plain,
% 0.20/0.59 (select(store(a_1306, i0, e_1305), i1) = select(a_1307, i1)),
% 0.20/0.59 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.59 tff(396,plain,
% 0.20/0.59 (select(a_1307, i1) = select(store(a_1306, i0, e_1305), i1)),
% 0.20/0.59 inference(symmetry,[status(thm)],[395])).
% 0.20/0.59 tff(397,plain,
% 0.20/0.59 (e_1308 = select(store(a_1306, i0, e_1305), i1)),
% 0.20/0.59 inference(transitivity,[status(thm)],[387, 396])).
% 0.20/0.59 tff(398,assumption,(~(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))), introduced(assumption)).
% 0.20/0.59 tff(399,plain,
% 0.20/0.59 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(400,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(401,plain,
% 0.20/0.59 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))),
% 0.20/0.60 inference(modus_ponens,[status(thm)],[400, 399])).
% 0.20/0.60 tff(402,plain,
% 0.20/0.60 ((i2 = i1) | (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))),
% 0.20/0.60 inference(unit_resolution,[status(thm)],[401, 222])).
% 0.20/0.60 tff(403,plain,
% 0.20/0.60 (i2 = i1),
% 0.20/0.60 inference(unit_resolution,[status(thm)],[402, 398])).
% 0.20/0.60 tff(404,plain,
% 0.20/0.60 (store(a_1307, i2, e_1308) = store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1))),
% 0.20/0.60 inference(monotonicity,[status(thm)],[161, 403, 397])).
% 0.20/0.60 tff(405,plain,
% 0.20/0.60 (a_1309 = store(a_1306, i0, e_1305)),
% 0.20/0.60 inference(transitivity,[status(thm)],[383, 404, 394])).
% 0.20/0.60 tff(406,plain,
% 0.20/0.60 (store(a_1309, i1, e_1310) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.20/0.60 inference(monotonicity,[status(thm)],[405, 79])).
% 0.20/0.60 tff(407,plain,
% 0.20/0.60 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1309, i1, e_1310)),
% 0.20/0.60 inference(symmetry,[status(thm)],[406])).
% 0.20/0.60 tff(408,plain,
% 0.20/0.60 (select(store(a_1306, i0, e_1305), i2) = select(a_1307, i2)),
% 0.20/0.60 inference(monotonicity,[status(thm)],[162])).
% 0.20/0.60 tff(409,plain,
% 0.20/0.60 (select(a_1307, i2) = select(store(a_1306, i0, e_1305), i2)),
% 0.20/0.60 inference(symmetry,[status(thm)],[408])).
% 0.20/0.60 tff(410,plain,
% 0.20/0.60 (i1 = i2),
% 0.20/0.60 inference(symmetry,[status(thm)],[403])).
% 0.20/0.60 tff(411,plain,
% 0.20/0.60 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2))),
% 0.20/0.60 inference(monotonicity,[status(thm)],[410, 409])).
% 0.20/0.60 tff(412,plain,
% 0.20/0.60 (store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2)) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.20/0.60 inference(symmetry,[status(thm)],[411])).
% 0.20/0.60 tff(413,plain,
% 0.20/0.60 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2)) = store(a_1306, i0, e_1305))),
% 0.20/0.60 inference(quant_inst,[status(thm)],[])).
% 0.20/0.60 tff(414,plain,
% 0.20/0.60 (store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2)) = store(a_1306, i0, e_1305)),
% 0.20/0.60 inference(unit_resolution,[status(thm)],[413, 27])).
% 0.20/0.60 tff(415,plain,
% 0.20/0.60 (store(a_1306, i0, e_1305) = store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2))),
% 0.20/0.60 inference(symmetry,[status(thm)],[414])).
% 0.20/0.60 tff(416,plain,
% 0.20/0.60 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1306, i0, e_1305)),
% 0.20/0.60 inference(transitivity,[status(thm)],[411, 414])).
% 0.20/0.60 tff(417,plain,
% 0.20/0.60 (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1))),
% 0.20/0.60 inference(monotonicity,[status(thm)],[416, 403, 396])).
% 0.20/0.60 tff(418,plain,
% 0.20/0.60 (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2))),
% 0.20/0.60 inference(transitivity,[status(thm)],[417, 394, 415, 412, 407, 392])).
% 0.20/0.60 tff(419,plain,
% 0.20/0.60 ((store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))) <=> (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)))),
% 0.20/0.60 inference(commutativity,[status(thm)],[])).
% 0.20/0.60 tff(420,plain,
% 0.20/0.60 ((~(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))) <=> (~(store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2))))),
% 0.20/0.60 inference(monotonicity,[status(thm)],[419])).
% 0.20/0.60 tff(421,plain,
% 0.20/0.60 (~(store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)))),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[398, 420])).
% 0.44/0.60 tff(422,plain,
% 0.44/0.60 ($false),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[421, 418])).
% 0.44/0.60 tff(423,plain,(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))), inference(lemma,lemma(discharge,[]))).
% 0.44/0.60 tff(424,assumption,(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))), introduced(assumption)).
% 0.44/0.60 tff(425,plain,
% 0.44/0.60 (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2))),
% 0.44/0.60 inference(symmetry,[status(thm)],[424])).
% 0.44/0.60 tff(426,plain,
% 0.44/0.60 (store(a_1296, i1, e_1297) = store(store(a_1294, i9, e_1295), i1, select(a_1296, i7))),
% 0.44/0.60 inference(symmetry,[status(thm)],[212])).
% 0.44/0.60 tff(427,plain,
% 0.44/0.60 (a_1298 = store(store(a_1294, i9, e_1295), i1, select(a_1296, i7))),
% 0.44/0.60 inference(transitivity,[status(thm)],[202, 426])).
% 0.44/0.60 tff(428,plain,
% 0.44/0.60 (store(a_1298, i7, e_1299) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))),
% 0.44/0.60 inference(monotonicity,[status(thm)],[427, 198])).
% 0.44/0.60 tff(429,plain,
% 0.44/0.60 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)) = store(a_1298, i7, e_1299)),
% 0.44/0.60 inference(symmetry,[status(thm)],[428])).
% 0.44/0.60 tff(430,assumption,(store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1))), introduced(assumption)).
% 0.44/0.60 tff(431,plain,
% 0.44/0.60 ((e_1262 = select(a_1259, i7)) <=> (e_1262 = select(a_1259, i7))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(432,axiom,(e_1262 = select(a_1259, i7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp49')).
% 0.44/0.60 tff(433,plain,
% 0.44/0.60 (e_1262 = select(a_1259, i7)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[432, 431])).
% 0.44/0.60 tff(434,plain,
% 0.44/0.60 (select(a_1259, i7) = e_1262),
% 0.44/0.60 inference(symmetry,[status(thm)],[433])).
% 0.44/0.60 tff(435,plain,
% 0.44/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i5) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i5) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(436,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i5) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)))),
% 0.44/0.60 inference(quant_inst,[status(thm)],[])).
% 0.44/0.60 tff(437,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i5) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.44/0.60 tff(438,plain,
% 0.44/0.60 ((i8 = i5) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[437, 354])).
% 0.44/0.60 tff(439,plain,
% 0.44/0.60 (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[438, 252])).
% 0.44/0.60 tff(440,plain,
% 0.44/0.60 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i5) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i5) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5)))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(441,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i8 = i5) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5)))),
% 0.44/0.60 inference(quant_inst,[status(thm)],[])).
% 0.44/0.60 tff(442,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i8 = i5) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[441, 440])).
% 0.44/0.60 tff(443,plain,
% 0.44/0.60 ((i8 = i5) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[442, 354])).
% 0.44/0.60 tff(444,plain,
% 0.44/0.60 (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[443, 252])).
% 0.44/0.60 tff(445,assumption,(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))), introduced(assumption)).
% 0.44/0.60 tff(446,plain,
% 0.44/0.60 ((a_1263 = store(a_1261, i1, e_1262)) <=> (a_1263 = store(a_1261, i1, e_1262))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(447,axiom,(a_1263 = store(a_1261, i1, e_1262)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp9')).
% 0.44/0.60 tff(448,plain,
% 0.44/0.60 (a_1263 = store(a_1261, i1, e_1262)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[447, 446])).
% 0.44/0.60 tff(449,plain,
% 0.44/0.60 (store(a_1261, i1, e_1262) = a_1263),
% 0.44/0.60 inference(symmetry,[status(thm)],[448])).
% 0.44/0.60 tff(450,plain,
% 0.44/0.60 ((a_1261 = store(a_1259, i7, e_1260)) <=> (a_1261 = store(a_1259, i7, e_1260))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(451,axiom,(a_1261 = store(a_1259, i7, e_1260)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp8')).
% 0.44/0.60 tff(452,plain,
% 0.44/0.60 (a_1261 = store(a_1259, i7, e_1260)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.44/0.60 tff(453,plain,
% 0.44/0.60 (store(a_1259, i7, e_1260) = a_1261),
% 0.44/0.60 inference(symmetry,[status(thm)],[452])).
% 0.44/0.60 tff(454,plain,
% 0.44/0.60 (select(a_1259, i1) = e_1260),
% 0.44/0.60 inference(symmetry,[status(thm)],[129])).
% 0.44/0.60 tff(455,plain,
% 0.44/0.60 (store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)) = store(a_1259, i7, e_1260)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[124, 454])).
% 0.44/0.60 tff(456,plain,
% 0.44/0.60 (store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)) = a_1261),
% 0.44/0.60 inference(transitivity,[status(thm)],[455, 453])).
% 0.44/0.60 tff(457,plain,
% 0.44/0.60 (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[456, 434])).
% 0.44/0.60 tff(458,plain,
% 0.44/0.60 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7))),
% 0.44/0.60 inference(symmetry,[status(thm)],[445])).
% 0.44/0.60 tff(459,plain,
% 0.44/0.60 ((e_1258 = select(a_1255, i4)) <=> (e_1258 = select(a_1255, i4))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(460,axiom,(e_1258 = select(a_1255, i4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp47')).
% 0.44/0.60 tff(461,plain,
% 0.44/0.60 (e_1258 = select(a_1255, i4)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[460, 459])).
% 0.44/0.60 tff(462,plain,
% 0.44/0.60 (select(a_1255, i4) = e_1258),
% 0.44/0.60 inference(symmetry,[status(thm)],[461])).
% 0.44/0.60 tff(463,assumption,(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))), introduced(assumption)).
% 0.44/0.60 tff(464,plain,
% 0.44/0.60 ((e_1250 = select(a_1247, i6)) <=> (e_1250 = select(a_1247, i6))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(465,axiom,(e_1250 = select(a_1247, i6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp43')).
% 0.44/0.60 tff(466,plain,
% 0.44/0.60 (e_1250 = select(a_1247, i6)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[465, 464])).
% 0.44/0.60 tff(467,plain,
% 0.44/0.60 (select(a_1247, i6) = e_1250),
% 0.44/0.60 inference(symmetry,[status(thm)],[466])).
% 0.44/0.60 tff(468,plain,
% 0.44/0.60 ((a_1249 = store(a_1247, i6, e_1248)) <=> (a_1249 = store(a_1247, i6, e_1248))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(469,axiom,(a_1249 = store(a_1247, i6, e_1248)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp2')).
% 0.44/0.60 tff(470,plain,
% 0.44/0.60 (a_1249 = store(a_1247, i6, e_1248)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[469, 468])).
% 0.44/0.60 tff(471,plain,
% 0.44/0.60 (store(a_1247, i6, e_1248) = a_1249),
% 0.44/0.60 inference(symmetry,[status(thm)],[470])).
% 0.44/0.60 tff(472,plain,
% 0.44/0.60 (store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)) = store(a_1249, i8, e_1250)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[471, 467])).
% 0.44/0.60 tff(473,plain,
% 0.44/0.60 (store(a_1249, i8, e_1250) = store(store(a_1247, i6, e_1248), i8, select(a_1247, i6))),
% 0.44/0.60 inference(symmetry,[status(thm)],[472])).
% 0.44/0.60 tff(474,plain,
% 0.44/0.60 (a_1251 = store(store(a_1247, i6, e_1248), i8, select(a_1247, i6))),
% 0.44/0.60 inference(transitivity,[status(thm)],[15, 473])).
% 0.44/0.60 tff(475,plain,
% 0.44/0.60 (select(a_1251, i8) = select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[474])).
% 0.44/0.60 tff(476,plain,
% 0.44/0.60 (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8) = select(a_1251, i8)),
% 0.44/0.60 inference(symmetry,[status(thm)],[475])).
% 0.44/0.60 tff(477,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8) = select(a_1247, i6))),
% 0.44/0.60 inference(quant_inst,[status(thm)],[])).
% 0.44/0.60 tff(478,plain,
% 0.44/0.60 (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8) = select(a_1247, i6)),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[477, 139])).
% 0.44/0.60 tff(479,plain,
% 0.44/0.60 (select(a_1247, i6) = select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8)),
% 0.44/0.60 inference(symmetry,[status(thm)],[478])).
% 0.44/0.60 tff(480,plain,
% 0.44/0.60 (select(a_1247, i6) = e_1254),
% 0.44/0.60 inference(transitivity,[status(thm)],[479, 476, 4])).
% 0.44/0.60 tff(481,plain,
% 0.44/0.60 (store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)) = a_1251),
% 0.44/0.60 inference(transitivity,[status(thm)],[472, 16])).
% 0.44/0.60 tff(482,plain,
% 0.44/0.60 (store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5)) = store(a_1251, i8, e_1252)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[481, 12])).
% 0.44/0.60 tff(483,plain,
% 0.44/0.60 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5)) = store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)))),
% 0.44/0.60 inference(quant_inst,[status(thm)],[])).
% 0.44/0.60 tff(484,plain,
% 0.44/0.60 (store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5)) = store(store(a_1247, i6, e_1248), i8, select(a_1251, i5))),
% 0.44/0.60 inference(unit_resolution,[status(thm)],[483, 106])).
% 0.44/0.60 tff(485,plain,
% 0.44/0.60 (store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)) = store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.44/0.60 inference(symmetry,[status(thm)],[484])).
% 0.44/0.60 tff(486,plain,
% 0.44/0.60 (store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)) = a_1253),
% 0.44/0.60 inference(transitivity,[status(thm)],[485, 482, 8])).
% 0.44/0.60 tff(487,plain,
% 0.44/0.60 (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(a_1253, i5, e_1254)),
% 0.44/0.60 inference(monotonicity,[status(thm)],[486, 480])).
% 0.44/0.60 tff(488,plain,
% 0.44/0.60 (store(a_1253, i5, e_1254) = store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6))),
% 0.44/0.60 inference(symmetry,[status(thm)],[487])).
% 0.44/0.60 tff(489,plain,
% 0.44/0.60 ((a_1255 = store(a_1253, i5, e_1254)) <=> (a_1255 = store(a_1253, i5, e_1254))),
% 0.44/0.60 inference(rewrite,[status(thm)],[])).
% 0.44/0.60 tff(490,axiom,(a_1255 = store(a_1253, i5, e_1254)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp5')).
% 0.44/0.60 tff(491,plain,
% 0.44/0.60 (a_1255 = store(a_1253, i5, e_1254)),
% 0.44/0.60 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.44/0.61 tff(492,plain,
% 0.44/0.61 (a_1255 = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.44/0.61 inference(transitivity,[status(thm)],[491, 488, 463])).
% 0.44/0.61 tff(493,plain,
% 0.44/0.61 (select(a_1255, i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[492])).
% 0.44/0.61 tff(494,plain,
% 0.44/0.61 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(a_1255, i4)),
% 0.44/0.61 inference(symmetry,[status(thm)],[493])).
% 0.44/0.61 tff(495,plain,
% 0.44/0.61 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.44/0.61 inference(symmetry,[status(thm)],[379])).
% 0.44/0.61 tff(496,plain,
% 0.44/0.61 (store(a_1286, i8, e_1287) = store(store(a_1284, i6, e_1285), i8, select(a_1284, i6))),
% 0.44/0.61 inference(symmetry,[status(thm)],[340])).
% 0.44/0.61 tff(497,plain,
% 0.44/0.61 (a_1288 = store(store(a_1284, i6, e_1285), i8, select(a_1284, i6))),
% 0.44/0.61 inference(transitivity,[status(thm)],[330, 496])).
% 0.44/0.61 tff(498,plain,
% 0.44/0.61 (select(a_1288, i8) = select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[497])).
% 0.44/0.61 tff(499,plain,
% 0.44/0.61 (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8) = select(a_1288, i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[498])).
% 0.44/0.61 tff(500,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8) = select(a_1284, i6))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(501,plain,
% 0.44/0.61 (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8) = select(a_1284, i6)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[500, 139])).
% 0.44/0.61 tff(502,plain,
% 0.44/0.61 (select(a_1284, i6) = select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[501])).
% 0.44/0.61 tff(503,plain,
% 0.44/0.61 ((a_1247 = store(a_1245, i7, e_1246)) <=> (a_1247 = store(a_1245, i7, e_1246))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(504,axiom,(a_1247 = store(a_1245, i7, e_1246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp1')).
% 0.44/0.61 tff(505,plain,
% 0.44/0.61 (a_1247 = store(a_1245, i7, e_1246)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.44/0.61 tff(506,plain,
% 0.44/0.61 (store(a_1245, i7, e_1246) = a_1247),
% 0.44/0.61 inference(symmetry,[status(thm)],[505])).
% 0.44/0.61 tff(507,plain,
% 0.44/0.61 ((e_1246 = select(a1, i8)) <=> (e_1246 = select(a1, i8))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(508,axiom,(e_1246 = select(a1, i8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp41')).
% 0.44/0.61 tff(509,plain,
% 0.44/0.61 (e_1246 = select(a1, i8)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.44/0.61 tff(510,plain,
% 0.44/0.61 (select(a1, i8) = e_1246),
% 0.44/0.61 inference(symmetry,[status(thm)],[509])).
% 0.44/0.61 tff(511,plain,
% 0.44/0.61 ((a_1245 = store(a1, i8, e_1244)) <=> (a_1245 = store(a1, i8, e_1244))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(512,axiom,(a_1245 = store(a1, i8, e_1244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp0')).
% 0.44/0.61 tff(513,plain,
% 0.44/0.61 (a_1245 = store(a1, i8, e_1244)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.44/0.61 tff(514,plain,
% 0.44/0.61 (store(a1, i8, e_1244) = a_1245),
% 0.44/0.61 inference(symmetry,[status(thm)],[513])).
% 0.44/0.61 tff(515,plain,
% 0.44/0.61 ((e_1244 = select(a1, i7)) <=> (e_1244 = select(a1, i7))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(516,axiom,(e_1244 = select(a1, i7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp40')).
% 0.44/0.61 tff(517,plain,
% 0.44/0.61 (e_1244 = select(a1, i7)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[516, 515])).
% 0.44/0.61 tff(518,plain,
% 0.44/0.61 (select(a1, i7) = e_1244),
% 0.44/0.61 inference(symmetry,[status(thm)],[517])).
% 0.44/0.61 tff(519,plain,
% 0.44/0.61 (store(a1, i8, select(a1, i7)) = store(a1, i8, e_1244)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[518])).
% 0.44/0.61 tff(520,plain,
% 0.44/0.61 (store(a1, i8, select(a1, i7)) = a_1245),
% 0.44/0.61 inference(transitivity,[status(thm)],[519, 514])).
% 0.44/0.61 tff(521,plain,
% 0.44/0.61 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(a_1245, i7, e_1246)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[520, 510])).
% 0.44/0.61 tff(522,assumption,(~(i7 = i5)), introduced(assumption)).
% 0.44/0.61 tff(523,plain,
% 0.44/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i5) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i5) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(524,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i5) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(525,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i5) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.44/0.61 tff(526,plain,
% 0.44/0.61 ((i7 = i5) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[525, 354])).
% 0.44/0.61 tff(527,plain,
% 0.44/0.61 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[526, 522])).
% 0.44/0.61 tff(528,assumption,(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)), introduced(assumption)).
% 0.44/0.61 tff(529,assumption,(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5)), introduced(assumption)).
% 0.44/0.61 tff(530,assumption,(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))), introduced(assumption)).
% 0.44/0.61 tff(531,plain,
% 0.44/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i5) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i5) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(532,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i5) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5)))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(533,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i5) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[532, 531])).
% 0.44/0.61 tff(534,plain,
% 0.44/0.61 ((i7 = i5) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[533, 354])).
% 0.44/0.61 tff(535,plain,
% 0.44/0.61 (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[534, 522])).
% 0.44/0.61 tff(536,assumption,(i8 = i7), introduced(assumption)).
% 0.44/0.61 tff(537,plain,
% 0.44/0.61 (i7 = i8),
% 0.44/0.61 inference(symmetry,[status(thm)],[536])).
% 0.44/0.61 tff(538,plain,
% 0.44/0.61 (store(a1, i7, select(a1, i7)) = store(a1, i8, e_1244)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[537, 518])).
% 0.44/0.61 tff(539,plain,
% 0.44/0.61 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(a1, i7, select(a1, i7)) = a1)),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(540,plain,
% 0.44/0.61 (store(a1, i7, select(a1, i7)) = a1),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[539, 27])).
% 0.44/0.61 tff(541,plain,
% 0.44/0.61 (a1 = store(a1, i7, select(a1, i7))),
% 0.44/0.61 inference(symmetry,[status(thm)],[540])).
% 0.44/0.61 tff(542,plain,
% 0.44/0.61 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(a1, i8, select(a1, i8)) = a1)),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(543,plain,
% 0.44/0.61 (store(a1, i8, select(a1, i8)) = a1),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[542, 27])).
% 0.44/0.61 tff(544,plain,
% 0.44/0.61 (store(a1, i7, e_1246) = store(a1, i8, select(a1, i8))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[537, 509])).
% 0.44/0.61 tff(545,plain,
% 0.44/0.61 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a1, i7, e_1246), i7, select(store(a1, i7, e_1246), i7)) = store(a1, i7, e_1246))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(546,plain,
% 0.44/0.61 (store(store(a1, i7, e_1246), i7, select(store(a1, i7, e_1246), i7)) = store(a1, i7, e_1246)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[545, 27])).
% 0.44/0.61 tff(547,plain,
% 0.44/0.61 (store(a1, i7, select(a1, i8)) = store(a1, i7, e_1246)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[510])).
% 0.44/0.61 tff(548,plain,
% 0.44/0.61 (store(a1, i7, e_1246) = store(a1, i7, select(a1, i8))),
% 0.44/0.61 inference(symmetry,[status(thm)],[547])).
% 0.44/0.61 tff(549,plain,
% 0.44/0.61 (select(store(a1, i7, e_1246), i7) = select(store(a1, i7, select(a1, i8)), i7)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[548])).
% 0.44/0.61 tff(550,plain,
% 0.44/0.61 (select(store(a1, i7, select(a1, i8)), i7) = select(store(a1, i7, e_1246), i7)),
% 0.44/0.61 inference(symmetry,[status(thm)],[549])).
% 0.44/0.61 tff(551,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i7, select(a1, i8)), i7) = select(a1, i8))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(552,plain,
% 0.44/0.61 (select(store(a1, i7, select(a1, i8)), i7) = select(a1, i8)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[551, 139])).
% 0.44/0.61 tff(553,plain,
% 0.44/0.61 (select(a1, i8) = select(store(a1, i7, select(a1, i8)), i7)),
% 0.44/0.61 inference(symmetry,[status(thm)],[552])).
% 0.44/0.61 tff(554,plain,
% 0.44/0.61 (select(a1, i8) = select(a1, i7)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[536])).
% 0.44/0.61 tff(555,plain,
% 0.44/0.61 (select(a1, i7) = select(a1, i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[554])).
% 0.44/0.61 tff(556,plain,
% 0.44/0.61 (e_1244 = select(store(a1, i7, e_1246), i7)),
% 0.44/0.61 inference(transitivity,[status(thm)],[517, 555, 553, 550])).
% 0.44/0.61 tff(557,plain,
% 0.44/0.61 ((a_1283 = store(a1, i7, e_1246)) <=> (a_1283 = store(a1, i7, e_1246))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(558,axiom,(a_1283 = store(a1, i7, e_1246)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp20')).
% 0.44/0.61 tff(559,plain,
% 0.44/0.61 (a_1283 = store(a1, i7, e_1246)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[558, 557])).
% 0.44/0.61 tff(560,plain,
% 0.44/0.61 (store(a_1283, i8, e_1244) = store(store(a1, i7, e_1246), i7, select(store(a1, i7, e_1246), i7))),
% 0.44/0.61 inference(monotonicity,[status(thm)],[559, 536, 556])).
% 0.44/0.61 tff(561,plain,
% 0.44/0.61 ((a_1284 = store(a_1283, i8, e_1244)) <=> (a_1284 = store(a_1283, i8, e_1244))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(562,axiom,(a_1284 = store(a_1283, i8, e_1244)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp21')).
% 0.44/0.61 tff(563,plain,
% 0.44/0.61 (a_1284 = store(a_1283, i8, e_1244)),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.44/0.61 tff(564,plain,
% 0.44/0.61 (a_1284 = store(a1, i8, e_1244)),
% 0.44/0.61 inference(transitivity,[status(thm)],[563, 560, 546, 544, 543, 541, 538])).
% 0.44/0.61 tff(565,plain,
% 0.44/0.61 (select(a_1284, i6) = select(store(a1, i8, e_1244), i6)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[564])).
% 0.44/0.61 tff(566,plain,
% 0.44/0.61 (select(store(a1, i8, e_1244), i6) = select(a_1284, i6)),
% 0.44/0.61 inference(symmetry,[status(thm)],[565])).
% 0.44/0.61 tff(567,plain,
% 0.44/0.61 (store(a1, i8, e_1244) = store(a1, i7, select(a1, i7))),
% 0.44/0.61 inference(symmetry,[status(thm)],[538])).
% 0.44/0.61 tff(568,plain,
% 0.44/0.61 (a_1245 = a1),
% 0.44/0.61 inference(transitivity,[status(thm)],[513, 567, 540])).
% 0.44/0.61 tff(569,plain,
% 0.44/0.61 (store(a_1245, i7, e_1246) = store(a1, i7, e_1246)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[568])).
% 0.44/0.61 tff(570,plain,
% 0.44/0.61 (store(a1, i7, e_1246) = store(a_1245, i7, e_1246)),
% 0.44/0.61 inference(symmetry,[status(thm)],[569])).
% 0.44/0.61 tff(571,plain,
% 0.44/0.61 (store(a1, i8, select(a1, i8)) = store(a1, i7, e_1246)),
% 0.44/0.61 inference(symmetry,[status(thm)],[544])).
% 0.44/0.61 tff(572,plain,
% 0.44/0.61 (a1 = store(a1, i8, select(a1, i8))),
% 0.44/0.61 inference(symmetry,[status(thm)],[543])).
% 0.44/0.61 tff(573,plain,
% 0.44/0.61 (store(a1, i8, e_1244) = a_1247),
% 0.44/0.61 inference(transitivity,[status(thm)],[567, 540, 572, 571, 570, 506])).
% 0.44/0.61 tff(574,plain,
% 0.44/0.61 (select(store(a1, i8, e_1244), i6) = select(a_1247, i6)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[573])).
% 0.44/0.61 tff(575,plain,
% 0.44/0.61 (select(a_1247, i6) = select(store(a1, i8, e_1244), i6)),
% 0.44/0.61 inference(symmetry,[status(thm)],[574])).
% 0.44/0.61 tff(576,plain,
% 0.44/0.61 (select(a_1247, i6) = select(a_1288, i8)),
% 0.44/0.61 inference(transitivity,[status(thm)],[575, 566, 502, 499])).
% 0.44/0.61 tff(577,plain,
% 0.44/0.61 (store(store(a1, i8, e_1244), i7, select(a1, i8)) = store(a_1245, i7, e_1246)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[514, 510])).
% 0.44/0.61 tff(578,plain,
% 0.44/0.61 (store(a_1245, i7, e_1246) = store(store(a1, i8, e_1244), i7, select(a1, i8))),
% 0.44/0.61 inference(symmetry,[status(thm)],[577])).
% 0.44/0.61 tff(579,plain,
% 0.44/0.61 (a_1247 = store(store(a1, i8, e_1244), i7, select(a1, i8))),
% 0.44/0.61 inference(transitivity,[status(thm)],[505, 578])).
% 0.44/0.61 tff(580,plain,
% 0.44/0.61 (select(a_1247, i8) = select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[579])).
% 0.44/0.61 tff(581,plain,
% 0.44/0.61 (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(a_1247, i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[580])).
% 0.44/0.61 tff(582,plain,
% 0.44/0.61 (store(a1, i8, e_1244) = store(a1, i8, select(a1, i7))),
% 0.44/0.61 inference(symmetry,[status(thm)],[519])).
% 0.44/0.61 tff(583,plain,
% 0.44/0.61 (select(store(a1, i8, e_1244), i8) = select(store(a1, i8, select(a1, i7)), i8)),
% 0.44/0.61 inference(monotonicity,[status(thm)],[582])).
% 0.44/0.61 tff(584,plain,
% 0.44/0.61 (select(store(a1, i8, select(a1, i7)), i8) = select(store(a1, i8, e_1244), i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[583])).
% 0.44/0.61 tff(585,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(a1, i8, select(a1, i7)), i8) = select(a1, i7))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(586,plain,
% 0.44/0.61 (select(store(a1, i8, select(a1, i7)), i8) = select(a1, i7)),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[585, 139])).
% 0.44/0.61 tff(587,plain,
% 0.44/0.61 (select(a1, i7) = select(store(a1, i8, select(a1, i7)), i8)),
% 0.44/0.61 inference(symmetry,[status(thm)],[586])).
% 0.44/0.61 tff(588,assumption,(~(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8))), introduced(assumption)).
% 0.44/0.61 tff(589,plain,
% 0.44/0.61 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i8) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i8) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)))),
% 0.44/0.61 inference(rewrite,[status(thm)],[])).
% 0.44/0.61 tff(590,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i8) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)))),
% 0.44/0.61 inference(quant_inst,[status(thm)],[])).
% 0.44/0.61 tff(591,plain,
% 0.44/0.61 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i8) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8))),
% 0.44/0.61 inference(modus_ponens,[status(thm)],[590, 589])).
% 0.44/0.61 tff(592,plain,
% 0.44/0.61 ((i7 = i8) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8))),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[591, 354])).
% 0.44/0.61 tff(593,plain,
% 0.44/0.61 (i7 = i8),
% 0.44/0.61 inference(unit_resolution,[status(thm)],[592, 588])).
% 0.44/0.61 tff(594,plain,
% 0.44/0.62 (i8 = i7),
% 0.44/0.62 inference(symmetry,[status(thm)],[593])).
% 0.44/0.62 tff(595,plain,
% 0.44/0.62 (select(a1, i8) = select(a1, i7)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[594])).
% 0.44/0.62 tff(596,plain,
% 0.44/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i7) = select(a1, i8))),
% 0.44/0.62 inference(quant_inst,[status(thm)],[])).
% 0.44/0.62 tff(597,plain,
% 0.44/0.62 (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i7) = select(a1, i8)),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[596, 139])).
% 0.44/0.62 tff(598,plain,
% 0.44/0.62 (select(a_1247, i8) = select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i7)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[579, 594])).
% 0.44/0.62 tff(599,plain,
% 0.44/0.62 (store(store(a1, i8, e_1244), i7, select(a1, i8)) = a_1247),
% 0.44/0.62 inference(transitivity,[status(thm)],[577, 506])).
% 0.44/0.62 tff(600,plain,
% 0.44/0.62 (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(a_1247, i8)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[599])).
% 0.44/0.62 tff(601,plain,
% 0.44/0.62 (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)),
% 0.44/0.62 inference(transitivity,[status(thm)],[600, 598, 597, 595, 587, 584])).
% 0.44/0.62 tff(602,plain,
% 0.44/0.62 ($false),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[588, 601])).
% 0.44/0.62 tff(603,plain,(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)), inference(lemma,lemma(discharge,[]))).
% 0.44/0.62 tff(604,plain,
% 0.44/0.62 (select(store(a1, i8, e_1244), i8) = select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8)),
% 0.44/0.62 inference(symmetry,[status(thm)],[603])).
% 0.44/0.62 tff(605,plain,
% 0.44/0.62 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a1, i7, e_1246), i8, select(a1, i7)), i8) = select(a1, i7))),
% 0.44/0.62 inference(quant_inst,[status(thm)],[])).
% 0.44/0.62 tff(606,plain,
% 0.44/0.62 (select(store(store(a1, i7, e_1246), i8, select(a1, i7)), i8) = select(a1, i7)),
% 0.44/0.62 inference(unit_resolution,[status(thm)],[605, 139])).
% 0.44/0.62 tff(607,plain,
% 0.44/0.62 (store(a1, i7, e_1246) = a_1283),
% 0.44/0.62 inference(symmetry,[status(thm)],[559])).
% 0.44/0.62 tff(608,plain,
% 0.44/0.62 (store(store(a1, i7, e_1246), i8, select(a1, i7)) = store(a_1283, i8, e_1244)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[607, 518])).
% 0.44/0.62 tff(609,plain,
% 0.44/0.62 (store(a_1283, i8, e_1244) = store(store(a1, i7, e_1246), i8, select(a1, i7))),
% 0.44/0.62 inference(symmetry,[status(thm)],[608])).
% 0.44/0.62 tff(610,plain,
% 0.44/0.62 (a_1284 = store(store(a1, i7, e_1246), i8, select(a1, i7))),
% 0.44/0.62 inference(transitivity,[status(thm)],[563, 609])).
% 0.44/0.62 tff(611,plain,
% 0.44/0.62 (select(a_1284, i8) = select(store(store(a1, i7, e_1246), i8, select(a1, i7)), i8)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[610])).
% 0.44/0.62 tff(612,plain,
% 0.44/0.62 ((e_1285 = select(a_1284, i8)) <=> (e_1285 = select(a_1284, i8))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(613,axiom,(e_1285 = select(a_1284, i8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp59')).
% 0.44/0.62 tff(614,plain,
% 0.44/0.62 (e_1285 = select(a_1284, i8)),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.44/0.62 tff(615,plain,
% 0.44/0.62 (e_1285 = select(a_1247, i8)),
% 0.44/0.62 inference(transitivity,[status(thm)],[614, 611, 606, 587, 584, 604, 581])).
% 0.44/0.62 tff(616,plain,
% 0.44/0.62 (store(a_1284, i6, e_1285) = store(store(a1, i8, e_1244), i6, select(a_1247, i8))),
% 0.44/0.62 inference(monotonicity,[status(thm)],[564, 615])).
% 0.44/0.62 tff(617,plain,
% 0.44/0.62 (store(store(a1, i8, e_1244), i6, select(a_1247, i8)) = store(a_1284, i6, e_1285)),
% 0.44/0.62 inference(symmetry,[status(thm)],[616])).
% 0.44/0.62 tff(618,plain,
% 0.44/0.62 ((e_1248 = select(a_1247, i8)) <=> (e_1248 = select(a_1247, i8))),
% 0.44/0.62 inference(rewrite,[status(thm)],[])).
% 0.44/0.62 tff(619,axiom,(e_1248 = select(a_1247, i8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp42')).
% 0.44/0.62 tff(620,plain,
% 0.44/0.62 (e_1248 = select(a_1247, i8)),
% 0.44/0.62 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.44/0.62 tff(621,plain,
% 0.44/0.62 (select(a_1247, i8) = e_1248),
% 0.44/0.62 inference(symmetry,[status(thm)],[620])).
% 0.44/0.62 tff(622,plain,
% 0.44/0.62 (store(store(a1, i8, e_1244), i6, select(a_1247, i8)) = store(a_1247, i6, e_1248)),
% 0.44/0.62 inference(monotonicity,[status(thm)],[573, 621])).
% 0.44/0.62 tff(623,plain,
% 0.44/0.62 (store(a_1247, i6, e_1248) = store(store(a1, i8, e_1244), i6, select(a_1247, i8))),
% 0.45/0.62 inference(symmetry,[status(thm)],[622])).
% 0.45/0.62 tff(624,plain,
% 0.45/0.62 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.45/0.62 inference(transitivity,[status(thm)],[623, 617])).
% 0.45/0.62 tff(625,plain,
% 0.45/0.62 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[624, 576])).
% 0.45/0.62 tff(626,plain,
% 0.45/0.62 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[625])).
% 0.45/0.62 tff(627,plain,
% 0.45/0.62 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.45/0.62 inference(symmetry,[status(thm)],[626])).
% 0.45/0.62 tff(628,plain,
% 0.45/0.62 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8))),
% 0.45/0.62 inference(symmetry,[status(thm)],[530])).
% 0.45/0.62 tff(629,plain,
% 0.45/0.62 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)) = store(a_1288, i5, e_1289)),
% 0.45/0.62 inference(transitivity,[status(thm)],[628, 342])).
% 0.45/0.62 tff(630,plain,
% 0.45/0.62 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[629])).
% 0.45/0.62 tff(631,plain,
% 0.45/0.62 (select(store(a_1288, i5, e_1289), i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4)),
% 0.45/0.62 inference(symmetry,[status(thm)],[630])).
% 0.45/0.62 tff(632,plain,
% 0.45/0.62 (select(a_1292, i4) = select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4)),
% 0.45/0.62 inference(symmetry,[status(thm)],[246])).
% 0.45/0.62 tff(633,plain,
% 0.45/0.62 (e_1295 = e_1258),
% 0.45/0.62 inference(transitivity,[status(thm)],[230, 632, 380, 631, 378, 627, 495, 494, 462])).
% 0.45/0.62 tff(634,plain,
% 0.45/0.62 ((a_1257 = store(a_1255, i4, e_1256)) <=> (a_1257 = store(a_1255, i4, e_1256))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(635,axiom,(a_1257 = store(a_1255, i4, e_1256)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp6')).
% 0.45/0.62 tff(636,plain,
% 0.45/0.62 (a_1257 = store(a_1255, i4, e_1256)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[635, 634])).
% 0.45/0.62 tff(637,plain,
% 0.45/0.62 (store(a_1255, i4, e_1256) = a_1257),
% 0.45/0.62 inference(symmetry,[status(thm)],[636])).
% 0.45/0.62 tff(638,plain,
% 0.45/0.62 ((e_1256 = select(a_1255, i9)) <=> (e_1256 = select(a_1255, i9))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(639,axiom,(e_1256 = select(a_1255, i9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp46')).
% 0.45/0.62 tff(640,plain,
% 0.45/0.62 (e_1256 = select(a_1255, i9)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[639, 638])).
% 0.45/0.62 tff(641,plain,
% 0.45/0.62 (select(a_1255, i9) = e_1256),
% 0.45/0.62 inference(symmetry,[status(thm)],[640])).
% 0.45/0.62 tff(642,plain,
% 0.45/0.62 (store(a_1253, i5, e_1254) = a_1255),
% 0.45/0.62 inference(symmetry,[status(thm)],[491])).
% 0.45/0.62 tff(643,plain,
% 0.45/0.62 (store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)) = store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6))),
% 0.45/0.62 inference(symmetry,[status(thm)],[463])).
% 0.45/0.62 tff(644,plain,
% 0.45/0.62 (select(a_1251, i5) = select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[474])).
% 0.45/0.62 tff(645,plain,
% 0.45/0.62 (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(a_1251, i5)),
% 0.45/0.62 inference(symmetry,[status(thm)],[644])).
% 0.45/0.62 tff(646,plain,
% 0.45/0.62 (select(store(a_1247, i6, e_1248), i5) = select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5)),
% 0.45/0.62 inference(symmetry,[status(thm)],[529])).
% 0.45/0.62 tff(647,plain,
% 0.45/0.62 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[624])).
% 0.45/0.62 tff(648,plain,
% 0.45/0.62 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.45/0.62 inference(symmetry,[status(thm)],[647])).
% 0.45/0.62 tff(649,plain,
% 0.45/0.62 (select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(a_1288, i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[341])).
% 0.45/0.62 tff(650,plain,
% 0.45/0.62 (select(a_1288, i5) = select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5)),
% 0.45/0.62 inference(symmetry,[status(thm)],[649])).
% 0.45/0.62 tff(651,plain,
% 0.45/0.62 (select(a_1288, i5) = select(a_1251, i5)),
% 0.45/0.62 inference(transitivity,[status(thm)],[650, 528, 648, 646, 645])).
% 0.45/0.62 tff(652,plain,
% 0.45/0.62 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.45/0.62 inference(symmetry,[status(thm)],[625])).
% 0.45/0.62 tff(653,plain,
% 0.45/0.62 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[652, 651])).
% 0.45/0.62 tff(654,plain,
% 0.45/0.62 (a_1290 = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))),
% 0.45/0.62 inference(transitivity,[status(thm)],[242, 343, 530])).
% 0.45/0.62 tff(655,plain,
% 0.45/0.62 (store(a_1290, i8, e_1291) = store(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i8, select(a_1288, i5))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[654, 238])).
% 0.45/0.62 tff(656,plain,
% 0.45/0.62 (a_1292 = a_1255),
% 0.45/0.62 inference(transitivity,[status(thm)],[234, 655, 323, 653, 643, 487, 642])).
% 0.45/0.62 tff(657,plain,
% 0.45/0.62 (select(a_1292, i9) = select(a_1255, i9)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[656])).
% 0.45/0.62 tff(658,plain,
% 0.45/0.62 ((e_1293 = select(a_1292, i9)) <=> (e_1293 = select(a_1292, i9))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(659,axiom,(e_1293 = select(a_1292, i9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp63')).
% 0.45/0.62 tff(660,plain,
% 0.45/0.62 (e_1293 = select(a_1292, i9)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[659, 658])).
% 0.45/0.62 tff(661,plain,
% 0.45/0.62 (e_1293 = e_1256),
% 0.45/0.62 inference(transitivity,[status(thm)],[660, 657, 641])).
% 0.45/0.62 tff(662,plain,
% 0.45/0.62 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[656, 661])).
% 0.45/0.62 tff(663,plain,
% 0.45/0.62 ((a_1294 = store(a_1292, i4, e_1293)) <=> (a_1294 = store(a_1292, i4, e_1293))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(664,axiom,(a_1294 = store(a_1292, i4, e_1293)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp26')).
% 0.45/0.62 tff(665,plain,
% 0.45/0.62 (a_1294 = store(a_1292, i4, e_1293)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[664, 663])).
% 0.45/0.62 tff(666,plain,
% 0.45/0.62 (a_1294 = a_1257),
% 0.45/0.62 inference(transitivity,[status(thm)],[665, 662, 637])).
% 0.45/0.62 tff(667,plain,
% 0.45/0.62 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[666, 633])).
% 0.45/0.62 tff(668,plain,
% 0.45/0.62 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.45/0.62 inference(symmetry,[status(thm)],[667])).
% 0.45/0.62 tff(669,plain,
% 0.45/0.62 (a_1259 = a_1296),
% 0.45/0.62 inference(transitivity,[status(thm)],[123, 668, 211])).
% 0.45/0.62 tff(670,plain,
% 0.45/0.62 (select(a_1259, i1) = select(a_1296, i1)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[669])).
% 0.45/0.62 tff(671,plain,
% 0.45/0.62 (select(a_1296, i1) = select(a_1259, i1)),
% 0.45/0.62 inference(symmetry,[status(thm)],[670])).
% 0.45/0.62 tff(672,plain,
% 0.45/0.62 (e_1299 = select(a_1259, i1)),
% 0.45/0.62 inference(transitivity,[status(thm)],[198, 671])).
% 0.45/0.62 tff(673,plain,
% 0.45/0.62 (a_1296 = a_1259),
% 0.45/0.62 inference(transitivity,[status(thm)],[210, 667, 124])).
% 0.45/0.62 tff(674,plain,
% 0.45/0.62 (select(a_1296, i7) = select(a_1259, i7)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[673])).
% 0.45/0.62 tff(675,plain,
% 0.45/0.62 (select(a_1259, i7) = select(a_1296, i7)),
% 0.45/0.62 inference(symmetry,[status(thm)],[674])).
% 0.45/0.62 tff(676,plain,
% 0.45/0.62 (select(a_1259, i7) = e_1297),
% 0.45/0.62 inference(transitivity,[status(thm)],[675, 207])).
% 0.45/0.62 tff(677,plain,
% 0.45/0.62 (store(a_1257, i9, e_1258) = a_1296),
% 0.45/0.62 inference(transitivity,[status(thm)],[668, 211])).
% 0.45/0.62 tff(678,plain,
% 0.45/0.62 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[677, 676])).
% 0.45/0.62 tff(679,plain,
% 0.45/0.62 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.45/0.62 inference(symmetry,[status(thm)],[678])).
% 0.45/0.62 tff(680,plain,
% 0.45/0.62 (a_1298 = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.45/0.62 inference(transitivity,[status(thm)],[202, 679])).
% 0.45/0.62 tff(681,plain,
% 0.45/0.62 (store(a_1298, i7, e_1299) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[680, 672])).
% 0.45/0.62 tff(682,plain,
% 0.45/0.62 (a_1300 = a_1263),
% 0.45/0.62 inference(transitivity,[status(thm)],[194, 681, 458, 457, 449])).
% 0.45/0.62 tff(683,plain,
% 0.45/0.62 (select(a_1300, i4) = select(a_1263, i4)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[682])).
% 0.45/0.62 tff(684,plain,
% 0.45/0.62 (select(a_1263, i4) = select(a_1300, i4)),
% 0.45/0.62 inference(symmetry,[status(thm)],[683])).
% 0.45/0.62 tff(685,plain,
% 0.45/0.62 (e_1266 = e_1303),
% 0.45/0.62 inference(transitivity,[status(thm)],[119, 684, 191])).
% 0.45/0.62 tff(686,plain,
% 0.45/0.62 ((a_1302 = store(a_1300, i4, e_1301)) <=> (a_1302 = store(a_1300, i4, e_1301))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(687,axiom,(a_1302 = store(a_1300, i4, e_1301)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp30')).
% 0.45/0.62 tff(688,plain,
% 0.45/0.62 (a_1302 = store(a_1300, i4, e_1301)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[687, 686])).
% 0.45/0.62 tff(689,plain,
% 0.45/0.62 (store(a_1300, i4, e_1301) = a_1302),
% 0.45/0.62 inference(symmetry,[status(thm)],[688])).
% 0.45/0.62 tff(690,plain,
% 0.45/0.62 ((e_1301 = select(a_1300, i5)) <=> (e_1301 = select(a_1300, i5))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(691,axiom,(e_1301 = select(a_1300, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp67')).
% 0.45/0.62 tff(692,plain,
% 0.45/0.62 (e_1301 = select(a_1300, i5)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[691, 690])).
% 0.45/0.62 tff(693,plain,
% 0.45/0.62 (select(a_1300, i5) = e_1301),
% 0.45/0.62 inference(symmetry,[status(thm)],[692])).
% 0.45/0.62 tff(694,plain,
% 0.45/0.62 (store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)) = store(a_1298, i7, e_1299)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[203, 199])).
% 0.45/0.62 tff(695,plain,
% 0.45/0.62 (store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)) = a_1300),
% 0.45/0.62 inference(transitivity,[status(thm)],[694, 195])).
% 0.45/0.62 tff(696,plain,
% 0.45/0.62 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(a_1300, i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[695])).
% 0.45/0.62 tff(697,assumption,(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)), introduced(assumption)).
% 0.45/0.62 tff(698,plain,
% 0.45/0.62 (select(store(a_1296, i1, e_1297), i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5)),
% 0.45/0.62 inference(symmetry,[status(thm)],[697])).
% 0.45/0.62 tff(699,plain,
% 0.45/0.62 (select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5) = select(store(a_1296, i1, e_1297), i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[678])).
% 0.45/0.62 tff(700,assumption,(select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5)), introduced(assumption)).
% 0.45/0.62 tff(701,plain,
% 0.45/0.62 (store(a_1261, i1, e_1262) = store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7))),
% 0.45/0.62 inference(symmetry,[status(thm)],[457])).
% 0.45/0.62 tff(702,plain,
% 0.45/0.62 (a_1263 = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.45/0.62 inference(transitivity,[status(thm)],[448, 701, 445])).
% 0.45/0.62 tff(703,plain,
% 0.45/0.62 (select(a_1263, i5) = select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[702])).
% 0.45/0.62 tff(704,plain,
% 0.45/0.62 ((e_1264 = select(a_1263, i5)) <=> (e_1264 = select(a_1263, i5))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(705,axiom,(e_1264 = select(a_1263, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp50')).
% 0.45/0.62 tff(706,plain,
% 0.45/0.62 (e_1264 = select(a_1263, i5)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[705, 704])).
% 0.45/0.62 tff(707,plain,
% 0.45/0.62 (e_1264 = e_1301),
% 0.45/0.62 inference(transitivity,[status(thm)],[706, 703, 700, 699, 698, 696, 693])).
% 0.45/0.62 tff(708,plain,
% 0.45/0.62 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(a_1298, i7, e_1299)),
% 0.45/0.62 inference(symmetry,[status(thm)],[681])).
% 0.45/0.62 tff(709,plain,
% 0.45/0.62 (a_1263 = a_1300),
% 0.45/0.62 inference(transitivity,[status(thm)],[448, 701, 445, 708, 195])).
% 0.45/0.62 tff(710,plain,
% 0.45/0.62 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[709, 707])).
% 0.45/0.62 tff(711,plain,
% 0.45/0.62 ((a_1265 = store(a_1263, i4, e_1264)) <=> (a_1265 = store(a_1263, i4, e_1264))),
% 0.45/0.62 inference(rewrite,[status(thm)],[])).
% 0.45/0.62 tff(712,axiom,(a_1265 = store(a_1263, i4, e_1264)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp10')).
% 0.45/0.62 tff(713,plain,
% 0.45/0.62 (a_1265 = store(a_1263, i4, e_1264)),
% 0.45/0.62 inference(modus_ponens,[status(thm)],[712, 711])).
% 0.45/0.62 tff(714,plain,
% 0.45/0.62 (a_1265 = a_1302),
% 0.45/0.62 inference(transitivity,[status(thm)],[713, 710, 689])).
% 0.45/0.62 tff(715,plain,
% 0.45/0.62 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[714, 685])).
% 0.45/0.62 tff(716,plain,
% 0.45/0.62 (select(a_1267, i0) = select(store(a_1265, i5, e_1266), i0)),
% 0.45/0.62 inference(symmetry,[status(thm)],[111])).
% 0.45/0.62 tff(717,plain,
% 0.45/0.62 (e_1268 = select(store(a_1265, i5, e_1266), i0)),
% 0.45/0.62 inference(transitivity,[status(thm)],[87, 716])).
% 0.45/0.62 tff(718,plain,
% 0.45/0.62 (store(a_1267, i0, e_1268) = store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[95, 717])).
% 0.45/0.62 tff(719,plain,
% 0.45/0.62 (store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)) = store(a_1267, i0, e_1268)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[110, 88])).
% 0.45/0.62 tff(720,plain,
% 0.45/0.62 (store(a_1267, i0, e_1268) = store(store(a_1265, i5, e_1266), i0, select(a_1267, i0))),
% 0.45/0.62 inference(symmetry,[status(thm)],[719])).
% 0.45/0.62 tff(721,plain,
% 0.45/0.62 (a_1269 = store(store(a_1265, i5, e_1266), i0, select(a_1267, i0))),
% 0.45/0.62 inference(transitivity,[status(thm)],[91, 720])).
% 0.45/0.62 tff(722,plain,
% 0.45/0.62 (store(a_1269, i0, e_1268) = store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0))),
% 0.45/0.62 inference(monotonicity,[status(thm)],[721, 87])).
% 0.45/0.62 tff(723,plain,
% 0.45/0.62 (a_1270 = a_1307),
% 0.45/0.62 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 715, 187, 184, 174, 180, 177, 162])).
% 0.45/0.62 tff(724,plain,
% 0.45/0.62 (select(a_1270, i1) = select(a_1307, i1)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[723])).
% 0.45/0.62 tff(725,plain,
% 0.45/0.62 (e_1273 = select(a_1307, i1)),
% 0.45/0.62 inference(transitivity,[status(thm)],[157, 724])).
% 0.45/0.62 tff(726,plain,
% 0.45/0.62 (select(a_1270, i2) = select(a_1307, i2)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[723])).
% 0.45/0.62 tff(727,plain,
% 0.45/0.62 (select(a_1307, i2) = select(a_1270, i2)),
% 0.45/0.62 inference(symmetry,[status(thm)],[726])).
% 0.45/0.62 tff(728,plain,
% 0.45/0.62 (select(a_1307, i2) = e_1271),
% 0.45/0.62 inference(transitivity,[status(thm)],[727, 275])).
% 0.45/0.62 tff(729,plain,
% 0.45/0.62 (store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0)) = store(a_1269, i0, e_1268)),
% 0.45/0.62 inference(symmetry,[status(thm)],[722])).
% 0.45/0.62 tff(730,plain,
% 0.45/0.62 (store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0)) = store(a_1267, i0, e_1268)),
% 0.45/0.62 inference(symmetry,[status(thm)],[718])).
% 0.45/0.62 tff(731,plain,
% 0.45/0.62 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.45/0.62 inference(symmetry,[status(thm)],[715])).
% 0.45/0.62 tff(732,plain,
% 0.45/0.62 (store(a_1304, i0, e_1305) = store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0))),
% 0.45/0.62 inference(symmetry,[status(thm)],[184])).
% 0.45/0.62 tff(733,plain,
% 0.45/0.62 (store(a_1306, i0, e_1305) = store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0))),
% 0.45/0.62 inference(symmetry,[status(thm)],[177])).
% 0.45/0.62 tff(734,plain,
% 0.45/0.62 (store(a_1306, i0, e_1305) = a_1270),
% 0.45/0.62 inference(transitivity,[status(thm)],[733, 179, 175, 732, 186, 731, 116, 730, 720, 109, 729, 84])).
% 0.45/0.62 tff(735,plain,
% 0.45/0.62 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1270, i1, e_1271)),
% 0.45/0.62 inference(monotonicity,[status(thm)],[734, 728])).
% 0.45/0.62 tff(736,plain,
% 0.45/0.62 (store(a_1270, i1, e_1271) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.45/0.62 inference(symmetry,[status(thm)],[735])).
% 0.45/0.62 tff(737,plain,
% 0.45/0.62 (a_1272 = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.45/0.62 inference(transitivity,[status(thm)],[270, 736])).
% 0.45/0.62 tff(738,plain,
% 0.45/0.62 (store(a_1272, i2, e_1273) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[737, 725])).
% 0.45/0.63 tff(739,plain,
% 0.45/0.63 (a_1274 = a_1311),
% 0.45/0.63 inference(transitivity,[status(thm)],[153, 738, 425, 391, 76])).
% 0.45/0.63 tff(740,plain,
% 0.45/0.63 (select(a_1274, i3) = select(a_1311, i3)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[739])).
% 0.45/0.63 tff(741,plain,
% 0.45/0.63 (e_1277 = e_1314),
% 0.45/0.63 inference(transitivity,[status(thm)],[149, 740, 72])).
% 0.45/0.63 tff(742,plain,
% 0.45/0.63 ((a_1313 = store(a_1311, i3, e_1312)) <=> (a_1313 = store(a_1311, i3, e_1312))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(743,axiom,(a_1313 = store(a_1311, i3, e_1312)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp36')).
% 0.45/0.63 tff(744,plain,
% 0.45/0.63 (a_1313 = store(a_1311, i3, e_1312)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[743, 742])).
% 0.45/0.63 tff(745,plain,
% 0.45/0.63 (store(a_1311, i3, e_1312) = a_1313),
% 0.45/0.63 inference(symmetry,[status(thm)],[744])).
% 0.45/0.63 tff(746,plain,
% 0.45/0.63 ((e_1312 = select(a_1311, i0)) <=> (e_1312 = select(a_1311, i0))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(747,axiom,(e_1312 = select(a_1311, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp72')).
% 0.45/0.63 tff(748,plain,
% 0.45/0.63 (e_1312 = select(a_1311, i0)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.45/0.63 tff(749,plain,
% 0.45/0.63 (select(a_1311, i0) = e_1312),
% 0.45/0.63 inference(symmetry,[status(thm)],[748])).
% 0.45/0.63 tff(750,plain,
% 0.45/0.63 (select(a_1274, i0) = select(a_1311, i0)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[739])).
% 0.45/0.63 tff(751,plain,
% 0.45/0.63 ((e_1275 = select(a_1274, i0)) <=> (e_1275 = select(a_1274, i0))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(752,axiom,(e_1275 = select(a_1274, i0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp55')).
% 0.45/0.63 tff(753,plain,
% 0.45/0.63 (e_1275 = select(a_1274, i0)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[752, 751])).
% 0.45/0.63 tff(754,plain,
% 0.45/0.63 (e_1275 = e_1312),
% 0.45/0.63 inference(transitivity,[status(thm)],[753, 750, 749])).
% 0.45/0.63 tff(755,plain,
% 0.45/0.63 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[739, 754])).
% 0.45/0.63 tff(756,plain,
% 0.45/0.63 ((a_1276 = store(a_1274, i3, e_1275)) <=> (a_1276 = store(a_1274, i3, e_1275))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(757,axiom,(a_1276 = store(a_1274, i3, e_1275)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp16')).
% 0.45/0.63 tff(758,plain,
% 0.45/0.63 (a_1276 = store(a_1274, i3, e_1275)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[757, 756])).
% 0.45/0.63 tff(759,plain,
% 0.45/0.63 (a_1276 = a_1313),
% 0.45/0.63 inference(transitivity,[status(thm)],[758, 755, 745])).
% 0.45/0.63 tff(760,plain,
% 0.45/0.63 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[759, 741])).
% 0.45/0.63 tff(761,plain,
% 0.45/0.63 (a_1278 = a_1315),
% 0.45/0.63 inference(transitivity,[status(thm)],[145, 760, 45])).
% 0.45/0.63 tff(762,plain,
% 0.45/0.63 (select(a_1278, i9) = select(a_1315, i9)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[761])).
% 0.45/0.63 tff(763,plain,
% 0.45/0.63 (select(a_1315, i9) = select(a_1278, i9)),
% 0.45/0.63 inference(symmetry,[status(thm)],[762])).
% 0.45/0.63 tff(764,plain,
% 0.45/0.63 (select(a_1315, i9) = e_1281),
% 0.45/0.63 inference(transitivity,[status(thm)],[763, 68])).
% 0.45/0.63 tff(765,plain,
% 0.45/0.63 ((a_1280 = store(a_1278, i9, e_1279)) <=> (a_1280 = store(a_1278, i9, e_1279))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(766,axiom,(a_1280 = store(a_1278, i9, e_1279)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp18')).
% 0.45/0.63 tff(767,plain,
% 0.45/0.63 (a_1280 = store(a_1278, i9, e_1279)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[766, 765])).
% 0.45/0.63 tff(768,plain,
% 0.45/0.63 (store(a_1278, i9, e_1279) = a_1280),
% 0.45/0.63 inference(symmetry,[status(thm)],[767])).
% 0.45/0.63 tff(769,plain,
% 0.45/0.63 (select(a_1278, i5) = select(a_1315, i5)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[761])).
% 0.45/0.63 tff(770,plain,
% 0.45/0.63 ((e_1279 = select(a_1278, i5)) <=> (e_1279 = select(a_1278, i5))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(771,axiom,(e_1279 = select(a_1278, i5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp57')).
% 0.45/0.63 tff(772,plain,
% 0.45/0.63 (e_1279 = select(a_1278, i5)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[771, 770])).
% 0.45/0.63 tff(773,plain,
% 0.45/0.63 (e_1279 = select(a_1315, i5)),
% 0.45/0.63 inference(transitivity,[status(thm)],[772, 769])).
% 0.45/0.63 tff(774,plain,
% 0.45/0.63 (a_1278 = store(a_1313, i0, e_1314)),
% 0.45/0.63 inference(transitivity,[status(thm)],[145, 760])).
% 0.45/0.63 tff(775,plain,
% 0.45/0.63 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[774, 773])).
% 0.45/0.63 tff(776,plain,
% 0.45/0.63 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1278, i9, e_1279)),
% 0.45/0.63 inference(symmetry,[status(thm)],[775])).
% 0.45/0.63 tff(777,plain,
% 0.45/0.63 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = a_1280),
% 0.45/0.63 inference(transitivity,[status(thm)],[776, 768])).
% 0.45/0.63 tff(778,plain,
% 0.45/0.63 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(a_1280, i5, e_1281)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[777, 764])).
% 0.45/0.63 tff(779,plain,
% 0.45/0.63 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.45/0.63 inference(symmetry,[status(thm)],[778])).
% 0.45/0.63 tff(780,plain,
% 0.45/0.63 ((a_1282 = store(a_1280, i5, e_1281)) <=> (a_1282 = store(a_1280, i5, e_1281))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(781,axiom,(a_1282 = store(a_1280, i5, e_1281)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','hyp19')).
% 0.45/0.63 tff(782,plain,
% 0.45/0.63 (a_1282 = store(a_1280, i5, e_1281)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.45/0.63 tff(783,plain,
% 0.45/0.63 (a_1282 = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.45/0.63 inference(transitivity,[status(thm)],[782, 779])).
% 0.45/0.63 tff(784,plain,
% 0.45/0.63 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[783, 64])).
% 0.45/0.63 tff(785,plain,
% 0.45/0.63 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.45/0.63 inference(transitivity,[status(thm)],[784, 53])).
% 0.45/0.63 tff(786,plain,
% 0.45/0.63 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[785])).
% 0.45/0.63 tff(787,plain,
% 0.45/0.63 ((~(a_1282 = a_1319)) <=> (~(a_1282 = a_1319))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(788,axiom,(~(a_1282 = a_1319)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goal')).
% 0.45/0.63 tff(789,plain,
% 0.45/0.63 (~(a_1282 = a_1319)),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[788, 787])).
% 0.45/0.63 tff(790,plain,
% 0.45/0.63 (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[789, 786])).
% 0.45/0.63 tff(791,plain,
% 0.45/0.63 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i9) | (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i9) | (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.45/0.63 inference(rewrite,[status(thm)],[])).
% 0.45/0.63 tff(792,plain,
% 0.45/0.63 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i9) | (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.45/0.63 inference(quant_inst,[status(thm)],[])).
% 0.45/0.63 tff(793,plain,
% 0.45/0.63 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i9) | (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.45/0.63 inference(modus_ponens,[status(thm)],[792, 791])).
% 0.45/0.63 tff(794,plain,
% 0.45/0.63 (i5 = i9),
% 0.45/0.63 inference(unit_resolution,[status(thm)],[793, 222, 790])).
% 0.45/0.63 tff(795,plain,
% 0.45/0.63 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[44, 794, 51])).
% 0.45/0.63 tff(796,plain,
% 0.45/0.63 (a_1317 = store(a_1313, i0, e_1314)),
% 0.45/0.63 inference(transitivity,[status(thm)],[57, 795, 41])).
% 0.45/0.63 tff(797,plain,
% 0.45/0.63 (store(a_1317, i9, e_1318) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[796, 39])).
% 0.45/0.63 tff(798,plain,
% 0.45/0.63 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.45/0.63 inference(symmetry,[status(thm)],[797])).
% 0.45/0.63 tff(799,plain,
% 0.45/0.63 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9)) = store(a_1278, i9, e_1279))),
% 0.45/0.63 inference(quant_inst,[status(thm)],[])).
% 0.45/0.63 tff(800,plain,
% 0.45/0.63 (store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9)) = store(a_1278, i9, e_1279)),
% 0.45/0.63 inference(unit_resolution,[status(thm)],[799, 27])).
% 0.45/0.63 tff(801,plain,
% 0.45/0.63 (select(a_1278, i5) = e_1279),
% 0.45/0.63 inference(symmetry,[status(thm)],[772])).
% 0.45/0.63 tff(802,plain,
% 0.45/0.63 (store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)) = store(a_1278, i9, e_1279)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[146, 801])).
% 0.45/0.63 tff(803,plain,
% 0.45/0.63 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i9, select(a_1278, i5))),
% 0.45/0.63 inference(symmetry,[status(thm)],[802])).
% 0.45/0.63 tff(804,plain,
% 0.45/0.63 (select(store(a_1278, i9, e_1279), i9) = select(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i9)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[803])).
% 0.45/0.63 tff(805,plain,
% 0.45/0.63 (select(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i9) = select(store(a_1278, i9, e_1279), i9)),
% 0.45/0.63 inference(symmetry,[status(thm)],[804])).
% 0.45/0.63 tff(806,plain,
% 0.45/0.63 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i9) = select(a_1278, i5))),
% 0.45/0.63 inference(quant_inst,[status(thm)],[])).
% 0.45/0.63 tff(807,plain,
% 0.45/0.63 (select(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i9) = select(a_1278, i5)),
% 0.45/0.63 inference(unit_resolution,[status(thm)],[806, 139])).
% 0.45/0.63 tff(808,plain,
% 0.45/0.63 (select(a_1278, i5) = select(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i9)),
% 0.45/0.63 inference(symmetry,[status(thm)],[807])).
% 0.45/0.63 tff(809,plain,
% 0.45/0.63 (select(a_1315, i5) = select(a_1278, i5)),
% 0.45/0.63 inference(symmetry,[status(thm)],[769])).
% 0.45/0.63 tff(810,plain,
% 0.45/0.63 (select(a_1315, i5) = select(a_1315, i9)),
% 0.45/0.63 inference(monotonicity,[status(thm)],[794])).
% 0.45/0.63 tff(811,plain,
% 0.45/0.63 (select(a_1315, i9) = select(a_1315, i5)),
% 0.45/0.63 inference(symmetry,[status(thm)],[810])).
% 0.45/0.63 tff(812,plain,
% 0.45/0.63 (e_1281 = select(store(a_1278, i9, e_1279), i9)),
% 0.45/0.63 inference(transitivity,[status(thm)],[67, 762, 811, 809, 808, 805])).
% 0.45/0.63 tff(813,plain,
% 0.45/0.63 (store(a_1280, i5, e_1281) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.45/0.63 inference(monotonicity,[status(thm)],[767, 794, 812])).
% 0.45/0.63 tff(814,plain,
% 0.45/0.63 (a_1282 = a_1319),
% 0.45/0.63 inference(transitivity,[status(thm)],[782, 813, 800, 775, 798, 36])).
% 0.45/0.63 tff(815,plain,
% 0.45/0.63 ($false),
% 0.45/0.63 inference(unit_resolution,[status(thm)],[789, 814])).
% 0.45/0.63 tff(816,plain,((~(i8 = i7)) | (~(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i5) = select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5))) | (~(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.63 tff(817,plain,
% 0.47/0.63 (~(i8 = i7)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[816, 535, 445, 379, 378, 380, 530, 463, 529, 528, 424, 527])).
% 0.47/0.63 tff(818,plain,
% 0.47/0.63 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i7) | (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i7) | (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(819,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i7) | (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(820,plain,
% 0.47/0.63 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i7) | (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[819, 818])).
% 0.47/0.63 tff(821,plain,
% 0.47/0.63 ((i8 = i7) | (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[820, 222])).
% 0.47/0.63 tff(822,plain,
% 0.47/0.63 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[821, 817])).
% 0.47/0.63 tff(823,plain,
% 0.47/0.63 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.47/0.63 inference(symmetry,[status(thm)],[822])).
% 0.47/0.63 tff(824,plain,
% 0.47/0.63 (a_1283 = store(a1, i7, select(a1, i8))),
% 0.47/0.63 inference(transitivity,[status(thm)],[559, 548])).
% 0.47/0.63 tff(825,plain,
% 0.47/0.63 (store(a_1283, i8, e_1244) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[824, 517])).
% 0.47/0.63 tff(826,plain,
% 0.47/0.63 (a_1284 = a_1247),
% 0.47/0.63 inference(transitivity,[status(thm)],[563, 825, 823, 521, 506])).
% 0.47/0.63 tff(827,plain,
% 0.47/0.63 (select(a_1284, i6) = select(a_1247, i6)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[826])).
% 0.47/0.63 tff(828,plain,
% 0.47/0.63 (select(a_1247, i6) = select(a_1284, i6)),
% 0.47/0.63 inference(symmetry,[status(thm)],[827])).
% 0.47/0.63 tff(829,plain,
% 0.47/0.63 (select(a_1247, i6) = select(a_1288, i8)),
% 0.47/0.63 inference(transitivity,[status(thm)],[828, 502, 499])).
% 0.47/0.63 tff(830,plain,
% 0.47/0.63 (e_1285 = e_1248),
% 0.47/0.63 inference(transitivity,[status(thm)],[614, 611, 606, 587, 584, 604, 581, 621])).
% 0.47/0.63 tff(831,plain,
% 0.47/0.63 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.47/0.63 inference(monotonicity,[status(thm)],[826, 830])).
% 0.47/0.64 tff(832,plain,
% 0.47/0.64 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.47/0.64 inference(symmetry,[status(thm)],[831])).
% 0.47/0.64 tff(833,plain,
% 0.47/0.64 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[832, 829])).
% 0.47/0.64 tff(834,plain,
% 0.47/0.64 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[833])).
% 0.47/0.64 tff(835,plain,
% 0.47/0.64 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.64 inference(symmetry,[status(thm)],[834])).
% 0.47/0.64 tff(836,plain,
% 0.47/0.64 (e_1295 = e_1258),
% 0.47/0.64 inference(transitivity,[status(thm)],[230, 632, 380, 631, 378, 835, 495, 494, 462])).
% 0.47/0.64 tff(837,plain,
% 0.47/0.64 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[832])).
% 0.47/0.64 tff(838,plain,
% 0.47/0.64 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[837])).
% 0.47/0.64 tff(839,plain,
% 0.47/0.64 (select(a_1288, i5) = select(a_1251, i5)),
% 0.47/0.64 inference(transitivity,[status(thm)],[650, 528, 838, 646, 645])).
% 0.47/0.64 tff(840,plain,
% 0.47/0.64 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.47/0.64 inference(symmetry,[status(thm)],[833])).
% 0.47/0.64 tff(841,plain,
% 0.47/0.64 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[840, 839])).
% 0.47/0.64 tff(842,plain,
% 0.47/0.64 (a_1292 = a_1255),
% 0.47/0.64 inference(transitivity,[status(thm)],[234, 655, 323, 841, 643, 487, 642])).
% 0.47/0.64 tff(843,plain,
% 0.47/0.64 (select(a_1292, i9) = select(a_1255, i9)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[842])).
% 0.47/0.64 tff(844,plain,
% 0.47/0.64 (e_1293 = e_1256),
% 0.47/0.64 inference(transitivity,[status(thm)],[660, 843, 641])).
% 0.47/0.64 tff(845,plain,
% 0.47/0.64 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[842, 844])).
% 0.47/0.64 tff(846,plain,
% 0.47/0.64 (a_1294 = a_1257),
% 0.47/0.64 inference(transitivity,[status(thm)],[665, 845, 637])).
% 0.47/0.64 tff(847,plain,
% 0.47/0.64 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[846, 836])).
% 0.47/0.64 tff(848,plain,
% 0.47/0.64 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.64 inference(symmetry,[status(thm)],[847])).
% 0.47/0.64 tff(849,plain,
% 0.47/0.64 (a_1259 = a_1296),
% 0.47/0.64 inference(transitivity,[status(thm)],[123, 848, 211])).
% 0.47/0.64 tff(850,plain,
% 0.47/0.64 (select(a_1259, i1) = select(a_1296, i1)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[849])).
% 0.47/0.64 tff(851,plain,
% 0.47/0.64 (select(a_1296, i1) = select(a_1259, i1)),
% 0.47/0.64 inference(symmetry,[status(thm)],[850])).
% 0.47/0.64 tff(852,plain,
% 0.47/0.64 (e_1299 = select(a_1259, i1)),
% 0.47/0.64 inference(transitivity,[status(thm)],[198, 851])).
% 0.47/0.64 tff(853,plain,
% 0.47/0.64 (a_1296 = a_1259),
% 0.47/0.64 inference(transitivity,[status(thm)],[210, 847, 124])).
% 0.47/0.64 tff(854,plain,
% 0.47/0.64 (select(a_1296, i7) = select(a_1259, i7)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[853])).
% 0.47/0.64 tff(855,plain,
% 0.47/0.64 (select(a_1259, i7) = select(a_1296, i7)),
% 0.47/0.64 inference(symmetry,[status(thm)],[854])).
% 0.47/0.64 tff(856,plain,
% 0.47/0.64 (select(a_1259, i7) = e_1297),
% 0.47/0.64 inference(transitivity,[status(thm)],[855, 207])).
% 0.47/0.64 tff(857,plain,
% 0.47/0.64 (store(a_1257, i9, e_1258) = a_1296),
% 0.47/0.64 inference(transitivity,[status(thm)],[848, 211])).
% 0.47/0.64 tff(858,plain,
% 0.47/0.64 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[857, 856])).
% 0.47/0.64 tff(859,plain,
% 0.47/0.64 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.64 inference(symmetry,[status(thm)],[858])).
% 0.47/0.64 tff(860,plain,
% 0.47/0.64 (a_1298 = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.64 inference(transitivity,[status(thm)],[202, 859])).
% 0.47/0.64 tff(861,plain,
% 0.47/0.64 (store(a_1298, i7, e_1299) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[860, 852])).
% 0.47/0.64 tff(862,plain,
% 0.47/0.64 (a_1300 = a_1263),
% 0.47/0.64 inference(transitivity,[status(thm)],[194, 861, 458, 457, 449])).
% 0.47/0.64 tff(863,plain,
% 0.47/0.64 (select(a_1300, i4) = select(a_1263, i4)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[862])).
% 0.47/0.64 tff(864,plain,
% 0.47/0.64 (select(a_1263, i4) = select(a_1300, i4)),
% 0.47/0.64 inference(symmetry,[status(thm)],[863])).
% 0.47/0.64 tff(865,plain,
% 0.47/0.64 (e_1266 = e_1303),
% 0.47/0.64 inference(transitivity,[status(thm)],[119, 864, 191])).
% 0.47/0.64 tff(866,plain,
% 0.47/0.64 (select(store(a_1296, i1, e_1297), i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[527])).
% 0.47/0.64 tff(867,plain,
% 0.47/0.64 (select(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i5) = select(store(a_1296, i1, e_1297), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[858])).
% 0.47/0.64 tff(868,plain,
% 0.47/0.64 (e_1264 = e_1301),
% 0.47/0.64 inference(transitivity,[status(thm)],[706, 703, 535, 867, 866, 696, 693])).
% 0.47/0.64 tff(869,plain,
% 0.47/0.64 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(a_1298, i7, e_1299)),
% 0.47/0.64 inference(symmetry,[status(thm)],[861])).
% 0.47/0.64 tff(870,plain,
% 0.47/0.64 (a_1263 = a_1300),
% 0.47/0.64 inference(transitivity,[status(thm)],[448, 701, 445, 869, 195])).
% 0.47/0.64 tff(871,plain,
% 0.47/0.64 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[870, 868])).
% 0.47/0.64 tff(872,plain,
% 0.47/0.64 (a_1265 = a_1302),
% 0.47/0.64 inference(transitivity,[status(thm)],[713, 871, 689])).
% 0.47/0.64 tff(873,plain,
% 0.47/0.64 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[872, 865])).
% 0.47/0.64 tff(874,plain,
% 0.47/0.64 (a_1270 = a_1307),
% 0.47/0.64 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 873, 187, 184, 174, 180, 177, 162])).
% 0.47/0.64 tff(875,plain,
% 0.47/0.64 (select(a_1270, i1) = select(a_1307, i1)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[874])).
% 0.47/0.64 tff(876,plain,
% 0.47/0.64 (e_1273 = select(a_1307, i1)),
% 0.47/0.64 inference(transitivity,[status(thm)],[157, 875])).
% 0.47/0.64 tff(877,plain,
% 0.47/0.64 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[874])).
% 0.47/0.64 tff(878,plain,
% 0.47/0.64 (select(a_1307, i2) = select(a_1270, i2)),
% 0.47/0.64 inference(symmetry,[status(thm)],[877])).
% 0.47/0.64 tff(879,plain,
% 0.47/0.64 (select(a_1307, i2) = e_1271),
% 0.47/0.64 inference(transitivity,[status(thm)],[878, 275])).
% 0.47/0.64 tff(880,plain,
% 0.47/0.64 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.47/0.64 inference(symmetry,[status(thm)],[873])).
% 0.47/0.64 tff(881,plain,
% 0.47/0.64 (store(a_1306, i0, e_1305) = a_1270),
% 0.47/0.64 inference(transitivity,[status(thm)],[733, 179, 175, 732, 186, 880, 116, 730, 720, 109, 729, 84])).
% 0.47/0.64 tff(882,plain,
% 0.47/0.64 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1270, i1, e_1271)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[881, 879])).
% 0.47/0.64 tff(883,plain,
% 0.47/0.64 (store(a_1270, i1, e_1271) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.47/0.64 inference(symmetry,[status(thm)],[882])).
% 0.47/0.64 tff(884,plain,
% 0.47/0.64 (a_1272 = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.47/0.64 inference(transitivity,[status(thm)],[270, 883])).
% 0.47/0.64 tff(885,plain,
% 0.47/0.64 (store(a_1272, i2, e_1273) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[884, 876])).
% 0.47/0.64 tff(886,plain,
% 0.47/0.64 (a_1274 = a_1311),
% 0.47/0.64 inference(transitivity,[status(thm)],[153, 885, 425, 391, 76])).
% 0.47/0.64 tff(887,plain,
% 0.47/0.64 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[886])).
% 0.47/0.64 tff(888,plain,
% 0.47/0.64 (e_1277 = e_1314),
% 0.47/0.64 inference(transitivity,[status(thm)],[149, 887, 72])).
% 0.47/0.64 tff(889,plain,
% 0.47/0.64 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[886])).
% 0.47/0.64 tff(890,plain,
% 0.47/0.64 (e_1275 = e_1312),
% 0.47/0.64 inference(transitivity,[status(thm)],[753, 889, 749])).
% 0.47/0.64 tff(891,plain,
% 0.47/0.64 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[886, 890])).
% 0.47/0.64 tff(892,plain,
% 0.47/0.64 (a_1276 = a_1313),
% 0.47/0.64 inference(transitivity,[status(thm)],[758, 891, 745])).
% 0.47/0.64 tff(893,plain,
% 0.47/0.64 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[892, 888])).
% 0.47/0.64 tff(894,plain,
% 0.47/0.64 (a_1278 = a_1315),
% 0.47/0.64 inference(transitivity,[status(thm)],[145, 893, 45])).
% 0.47/0.64 tff(895,plain,
% 0.47/0.64 (select(a_1278, i9) = select(a_1315, i9)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[894])).
% 0.47/0.64 tff(896,plain,
% 0.47/0.64 (select(a_1315, i9) = select(a_1278, i9)),
% 0.47/0.64 inference(symmetry,[status(thm)],[895])).
% 0.47/0.64 tff(897,plain,
% 0.47/0.64 (select(a_1315, i9) = e_1281),
% 0.47/0.64 inference(transitivity,[status(thm)],[896, 68])).
% 0.47/0.64 tff(898,plain,
% 0.47/0.64 (select(a_1278, i5) = select(a_1315, i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[894])).
% 0.47/0.64 tff(899,plain,
% 0.47/0.64 (e_1279 = select(a_1315, i5)),
% 0.47/0.64 inference(transitivity,[status(thm)],[772, 898])).
% 0.47/0.64 tff(900,plain,
% 0.47/0.64 (a_1278 = store(a_1313, i0, e_1314)),
% 0.47/0.64 inference(transitivity,[status(thm)],[145, 893])).
% 0.47/0.64 tff(901,plain,
% 0.47/0.64 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[900, 899])).
% 0.47/0.64 tff(902,plain,
% 0.47/0.64 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1278, i9, e_1279)),
% 0.47/0.64 inference(symmetry,[status(thm)],[901])).
% 0.47/0.64 tff(903,plain,
% 0.47/0.64 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = a_1280),
% 0.47/0.64 inference(transitivity,[status(thm)],[902, 768])).
% 0.47/0.64 tff(904,plain,
% 0.47/0.64 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(a_1280, i5, e_1281)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[903, 897])).
% 0.47/0.64 tff(905,plain,
% 0.47/0.64 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.64 inference(symmetry,[status(thm)],[904])).
% 0.47/0.64 tff(906,plain,
% 0.47/0.64 (a_1282 = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.64 inference(transitivity,[status(thm)],[782, 905])).
% 0.47/0.64 tff(907,plain,
% 0.47/0.64 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[906, 64])).
% 0.47/0.64 tff(908,plain,
% 0.47/0.64 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.47/0.64 inference(transitivity,[status(thm)],[907, 53])).
% 0.47/0.64 tff(909,plain,
% 0.47/0.64 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[908])).
% 0.47/0.64 tff(910,plain,
% 0.47/0.64 (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[789, 909])).
% 0.47/0.64 tff(911,plain,
% 0.47/0.64 (i5 = i9),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[793, 222, 910])).
% 0.47/0.64 tff(912,plain,
% 0.47/0.64 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[44, 911, 51])).
% 0.47/0.64 tff(913,plain,
% 0.47/0.64 (a_1317 = store(a_1313, i0, e_1314)),
% 0.47/0.64 inference(transitivity,[status(thm)],[57, 912, 41])).
% 0.47/0.64 tff(914,plain,
% 0.47/0.64 (store(a_1317, i9, e_1318) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[913, 39])).
% 0.47/0.64 tff(915,plain,
% 0.47/0.64 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.47/0.64 inference(symmetry,[status(thm)],[914])).
% 0.47/0.64 tff(916,plain,
% 0.47/0.64 (select(a_1315, i5) = select(a_1278, i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[898])).
% 0.47/0.64 tff(917,plain,
% 0.47/0.64 (select(a_1315, i5) = select(a_1315, i9)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[911])).
% 0.47/0.64 tff(918,plain,
% 0.47/0.64 (select(a_1315, i9) = select(a_1315, i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[917])).
% 0.47/0.64 tff(919,plain,
% 0.47/0.64 (e_1281 = select(store(a_1278, i9, e_1279), i9)),
% 0.47/0.64 inference(transitivity,[status(thm)],[67, 895, 918, 916, 808, 805])).
% 0.47/0.64 tff(920,plain,
% 0.47/0.64 (store(a_1280, i5, e_1281) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[767, 911, 919])).
% 0.47/0.64 tff(921,plain,
% 0.47/0.64 (a_1282 = a_1319),
% 0.47/0.64 inference(transitivity,[status(thm)],[782, 920, 800, 901, 915, 36])).
% 0.47/0.64 tff(922,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[789, 921])).
% 0.47/0.64 tff(923,plain,((i7 = i5) | (~(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(924,plain,
% 0.47/0.64 (i7 = i5),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[923, 424, 445, 379, 378, 380, 257, 262, 444, 439])).
% 0.47/0.64 tff(925,plain,
% 0.47/0.64 (select(a_1259, i7) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[123, 924])).
% 0.47/0.64 tff(926,plain,
% 0.47/0.64 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i7)),
% 0.47/0.64 inference(symmetry,[status(thm)],[925])).
% 0.47/0.64 tff(927,plain,
% 0.47/0.64 (a_1255 = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.64 inference(transitivity,[status(thm)],[491, 488, 262])).
% 0.47/0.64 tff(928,plain,
% 0.47/0.64 (select(a_1255, i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[927])).
% 0.47/0.64 tff(929,plain,
% 0.47/0.64 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(a_1255, i4)),
% 0.47/0.64 inference(symmetry,[status(thm)],[928])).
% 0.47/0.64 tff(930,plain,
% 0.47/0.64 ((i8 = i5) <=> (i5 = i8)),
% 0.47/0.64 inference(commutativity,[status(thm)],[])).
% 0.47/0.64 tff(931,plain,
% 0.47/0.64 ((i5 = i8) <=> (i8 = i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[930])).
% 0.47/0.64 tff(932,assumption,(i7 = i5), introduced(assumption)).
% 0.47/0.64 tff(933,plain,
% 0.47/0.64 ((i7 = i8) <=> (i5 = i8)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[932])).
% 0.47/0.64 tff(934,plain,
% 0.47/0.64 ((i8 = i7) <=> (i7 = i8)),
% 0.47/0.64 inference(commutativity,[status(thm)],[])).
% 0.47/0.64 tff(935,plain,
% 0.47/0.64 ((i8 = i7) <=> (i8 = i5)),
% 0.47/0.64 inference(transitivity,[status(thm)],[934, 933, 931])).
% 0.47/0.64 tff(936,plain,
% 0.47/0.64 (i8 = i5),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[536, 935])).
% 0.47/0.64 tff(937,plain,
% 0.47/0.64 ($false),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[252, 936])).
% 0.47/0.64 tff(938,plain,((~(i8 = i7)) | (i8 = i5) | (~(i7 = i5))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.64 tff(939,plain,
% 0.47/0.64 (~(i8 = i7)),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[938, 924, 252])).
% 0.47/0.64 tff(940,plain,
% 0.47/0.64 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[821, 939])).
% 0.47/0.64 tff(941,plain,
% 0.47/0.64 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.47/0.64 inference(symmetry,[status(thm)],[940])).
% 0.47/0.64 tff(942,plain,
% 0.47/0.64 (a_1284 = a_1247),
% 0.47/0.64 inference(transitivity,[status(thm)],[563, 825, 941, 521, 506])).
% 0.47/0.64 tff(943,plain,
% 0.47/0.64 (select(a_1284, i6) = select(a_1247, i6)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[942])).
% 0.47/0.64 tff(944,plain,
% 0.47/0.64 (select(a_1247, i6) = select(a_1284, i6)),
% 0.47/0.64 inference(symmetry,[status(thm)],[943])).
% 0.47/0.64 tff(945,plain,
% 0.47/0.64 (select(a_1247, i6) = select(a_1288, i8)),
% 0.47/0.64 inference(transitivity,[status(thm)],[944, 502, 499])).
% 0.47/0.64 tff(946,plain,
% 0.47/0.64 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[942, 830])).
% 0.47/0.64 tff(947,plain,
% 0.47/0.64 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.47/0.64 inference(symmetry,[status(thm)],[946])).
% 0.47/0.64 tff(948,plain,
% 0.47/0.64 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[947, 945])).
% 0.47/0.64 tff(949,plain,
% 0.47/0.64 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[948])).
% 0.47/0.64 tff(950,plain,
% 0.47/0.64 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.64 inference(symmetry,[status(thm)],[949])).
% 0.47/0.64 tff(951,plain,
% 0.47/0.64 (select(store(a_1288, i5, e_1289), i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4)),
% 0.47/0.64 inference(symmetry,[status(thm)],[363])).
% 0.47/0.64 tff(952,plain,
% 0.47/0.64 (e_1295 = e_1258),
% 0.47/0.64 inference(transitivity,[status(thm)],[230, 632, 380, 951, 378, 950, 495, 929, 462])).
% 0.47/0.64 tff(953,plain,
% 0.47/0.64 (store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)) = store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6))),
% 0.47/0.64 inference(symmetry,[status(thm)],[262])).
% 0.47/0.64 tff(954,plain,
% 0.47/0.64 (select(store(a_1247, i6, e_1248), i5) = select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[444])).
% 0.47/0.64 tff(955,plain,
% 0.47/0.64 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[947])).
% 0.47/0.64 tff(956,plain,
% 0.47/0.64 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.47/0.64 inference(symmetry,[status(thm)],[955])).
% 0.47/0.64 tff(957,plain,
% 0.47/0.64 (select(a_1288, i5) = select(a_1251, i5)),
% 0.47/0.64 inference(transitivity,[status(thm)],[650, 439, 956, 954, 645])).
% 0.47/0.64 tff(958,plain,
% 0.47/0.64 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.47/0.64 inference(symmetry,[status(thm)],[948])).
% 0.47/0.64 tff(959,plain,
% 0.47/0.64 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[958, 957])).
% 0.47/0.64 tff(960,plain,
% 0.47/0.64 (a_1292 = a_1255),
% 0.47/0.64 inference(transitivity,[status(thm)],[234, 345, 323, 959, 953, 487, 642])).
% 0.47/0.64 tff(961,plain,
% 0.47/0.64 (select(a_1292, i9) = select(a_1255, i9)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[960])).
% 0.47/0.64 tff(962,plain,
% 0.47/0.64 (e_1293 = e_1256),
% 0.47/0.64 inference(transitivity,[status(thm)],[660, 961, 641])).
% 0.47/0.64 tff(963,plain,
% 0.47/0.64 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[960, 962])).
% 0.47/0.64 tff(964,plain,
% 0.47/0.64 (a_1294 = a_1257),
% 0.47/0.64 inference(transitivity,[status(thm)],[665, 963, 637])).
% 0.47/0.64 tff(965,plain,
% 0.47/0.64 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[964, 952])).
% 0.47/0.64 tff(966,plain,
% 0.47/0.64 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[965])).
% 0.47/0.64 tff(967,plain,
% 0.47/0.64 (select(a_1296, i7) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.64 inference(monotonicity,[status(thm)],[210, 924])).
% 0.47/0.64 tff(968,plain,
% 0.47/0.64 (select(a_1296, i7) = e_1262),
% 0.47/0.64 inference(transitivity,[status(thm)],[967, 966, 926, 434])).
% 0.47/0.64 tff(969,plain,
% 0.47/0.64 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.65 inference(symmetry,[status(thm)],[965])).
% 0.47/0.65 tff(970,plain,
% 0.47/0.65 (a_1259 = a_1296),
% 0.47/0.65 inference(transitivity,[status(thm)],[123, 969, 211])).
% 0.47/0.65 tff(971,plain,
% 0.47/0.65 (select(a_1259, i1) = select(a_1296, i1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[970])).
% 0.47/0.65 tff(972,plain,
% 0.47/0.65 (e_1260 = select(a_1296, i1)),
% 0.47/0.65 inference(transitivity,[status(thm)],[129, 971])).
% 0.47/0.65 tff(973,plain,
% 0.47/0.65 (a_1259 = store(a_1294, i9, e_1295)),
% 0.47/0.65 inference(transitivity,[status(thm)],[123, 969])).
% 0.47/0.65 tff(974,plain,
% 0.47/0.65 (store(a_1259, i7, e_1260) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[973, 972])).
% 0.47/0.65 tff(975,plain,
% 0.47/0.65 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(a_1259, i7, e_1260)),
% 0.47/0.65 inference(symmetry,[status(thm)],[974])).
% 0.47/0.65 tff(976,plain,
% 0.47/0.65 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = a_1261),
% 0.47/0.65 inference(transitivity,[status(thm)],[975, 453])).
% 0.47/0.65 tff(977,plain,
% 0.47/0.65 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(a_1261, i1, e_1262)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[976, 968])).
% 0.47/0.65 tff(978,plain,
% 0.47/0.65 (store(a_1261, i1, e_1262) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.47/0.65 inference(symmetry,[status(thm)],[977])).
% 0.47/0.65 tff(979,plain,
% 0.47/0.65 (a_1263 = a_1300),
% 0.47/0.65 inference(transitivity,[status(thm)],[448, 978, 430, 429, 195])).
% 0.47/0.65 tff(980,plain,
% 0.47/0.65 (select(a_1263, i4) = select(a_1300, i4)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[979])).
% 0.47/0.65 tff(981,plain,
% 0.47/0.65 (e_1266 = e_1303),
% 0.47/0.65 inference(transitivity,[status(thm)],[119, 980, 191])).
% 0.47/0.65 tff(982,plain,
% 0.47/0.65 (select(a_1263, i5) = e_1264),
% 0.47/0.65 inference(symmetry,[status(thm)],[706])).
% 0.47/0.65 tff(983,plain,
% 0.47/0.65 (i5 = i7),
% 0.47/0.65 inference(symmetry,[status(thm)],[924])).
% 0.47/0.65 tff(984,plain,
% 0.47/0.65 (select(a_1263, i5) = select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i7)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[702, 983])).
% 0.47/0.65 tff(985,plain,
% 0.47/0.65 (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i7) = select(a_1263, i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[984])).
% 0.47/0.65 tff(986,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i7) = select(a_1259, i1))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(987,plain,
% 0.47/0.65 (select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i7) = select(a_1259, i1)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[986, 139])).
% 0.47/0.65 tff(988,plain,
% 0.47/0.65 (select(a_1259, i1) = select(store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)), i7)),
% 0.47/0.65 inference(symmetry,[status(thm)],[987])).
% 0.47/0.65 tff(989,plain,
% 0.47/0.65 (select(a_1296, i1) = select(a_1259, i1)),
% 0.47/0.65 inference(symmetry,[status(thm)],[971])).
% 0.47/0.65 tff(990,plain,
% 0.47/0.65 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7) = select(a_1296, i1))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(991,plain,
% 0.47/0.65 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7) = select(a_1296, i1)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[990, 139])).
% 0.47/0.65 tff(992,plain,
% 0.47/0.65 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i7, select(a_1296, i1))),
% 0.47/0.65 inference(symmetry,[status(thm)],[694])).
% 0.47/0.65 tff(993,plain,
% 0.47/0.65 (a_1300 = store(store(a_1296, i1, e_1297), i7, select(a_1296, i1))),
% 0.47/0.65 inference(transitivity,[status(thm)],[194, 992])).
% 0.47/0.65 tff(994,plain,
% 0.47/0.65 (select(a_1300, i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[993, 983])).
% 0.47/0.65 tff(995,plain,
% 0.47/0.65 (e_1301 = e_1264),
% 0.47/0.65 inference(transitivity,[status(thm)],[692, 994, 991, 989, 988, 985, 982])).
% 0.47/0.65 tff(996,plain,
% 0.47/0.65 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.47/0.65 inference(symmetry,[status(thm)],[430])).
% 0.47/0.65 tff(997,plain,
% 0.47/0.65 (a_1300 = a_1263),
% 0.47/0.65 inference(transitivity,[status(thm)],[194, 428, 996, 977, 449])).
% 0.47/0.65 tff(998,plain,
% 0.47/0.65 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[997, 995])).
% 0.47/0.65 tff(999,plain,
% 0.47/0.65 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.47/0.65 inference(symmetry,[status(thm)],[998])).
% 0.47/0.65 tff(1000,plain,
% 0.47/0.65 (a_1265 = a_1302),
% 0.47/0.65 inference(transitivity,[status(thm)],[713, 999, 689])).
% 0.47/0.65 tff(1001,plain,
% 0.47/0.65 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1000, 981])).
% 0.47/0.65 tff(1002,plain,
% 0.47/0.65 (a_1270 = a_1307),
% 0.47/0.65 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1001, 187, 184, 174, 180, 177, 162])).
% 0.47/0.65 tff(1003,plain,
% 0.47/0.65 (select(a_1270, i1) = select(a_1307, i1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1002])).
% 0.47/0.65 tff(1004,plain,
% 0.47/0.65 (e_1273 = select(a_1307, i1)),
% 0.47/0.65 inference(transitivity,[status(thm)],[157, 1003])).
% 0.47/0.65 tff(1005,plain,
% 0.47/0.65 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1002])).
% 0.47/0.65 tff(1006,plain,
% 0.47/0.65 (select(a_1307, i2) = select(a_1270, i2)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1005])).
% 0.47/0.65 tff(1007,plain,
% 0.47/0.65 (select(a_1307, i2) = e_1271),
% 0.47/0.65 inference(transitivity,[status(thm)],[1006, 275])).
% 0.47/0.65 tff(1008,plain,
% 0.47/0.65 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1001])).
% 0.47/0.65 tff(1009,plain,
% 0.47/0.65 (store(a_1306, i0, e_1305) = a_1270),
% 0.47/0.65 inference(transitivity,[status(thm)],[733, 179, 175, 732, 186, 1008, 116, 730, 720, 109, 729, 84])).
% 0.47/0.65 tff(1010,plain,
% 0.47/0.65 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1270, i1, e_1271)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1009, 1007])).
% 0.47/0.65 tff(1011,plain,
% 0.47/0.65 (store(a_1270, i1, e_1271) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1010])).
% 0.47/0.65 tff(1012,plain,
% 0.47/0.65 (a_1272 = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.47/0.65 inference(transitivity,[status(thm)],[270, 1011])).
% 0.47/0.65 tff(1013,plain,
% 0.47/0.65 (store(a_1272, i2, e_1273) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1012, 1004])).
% 0.47/0.65 tff(1014,plain,
% 0.47/0.65 (a_1274 = a_1311),
% 0.47/0.65 inference(transitivity,[status(thm)],[153, 1013, 425, 391, 76])).
% 0.47/0.65 tff(1015,plain,
% 0.47/0.65 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1014])).
% 0.47/0.65 tff(1016,plain,
% 0.47/0.65 (e_1277 = e_1314),
% 0.47/0.65 inference(transitivity,[status(thm)],[149, 1015, 72])).
% 0.47/0.65 tff(1017,plain,
% 0.47/0.65 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1014])).
% 0.47/0.65 tff(1018,plain,
% 0.47/0.65 (e_1275 = e_1312),
% 0.47/0.65 inference(transitivity,[status(thm)],[753, 1017, 749])).
% 0.47/0.65 tff(1019,plain,
% 0.47/0.65 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1014, 1018])).
% 0.47/0.65 tff(1020,plain,
% 0.47/0.65 (a_1276 = a_1313),
% 0.47/0.65 inference(transitivity,[status(thm)],[758, 1019, 745])).
% 0.47/0.65 tff(1021,plain,
% 0.47/0.65 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1020, 1016])).
% 0.47/0.65 tff(1022,plain,
% 0.47/0.65 (a_1278 = a_1315),
% 0.47/0.65 inference(transitivity,[status(thm)],[145, 1021, 45])).
% 0.47/0.65 tff(1023,plain,
% 0.47/0.65 (select(a_1278, i9) = select(a_1315, i9)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1022])).
% 0.47/0.65 tff(1024,plain,
% 0.47/0.65 (select(a_1315, i9) = select(a_1278, i9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1023])).
% 0.47/0.65 tff(1025,plain,
% 0.47/0.65 (select(a_1315, i9) = e_1281),
% 0.47/0.65 inference(transitivity,[status(thm)],[1024, 68])).
% 0.47/0.65 tff(1026,plain,
% 0.47/0.65 (select(a_1278, i5) = select(a_1315, i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1022])).
% 0.47/0.65 tff(1027,plain,
% 0.47/0.65 (e_1279 = select(a_1315, i5)),
% 0.47/0.65 inference(transitivity,[status(thm)],[772, 1026])).
% 0.47/0.65 tff(1028,plain,
% 0.47/0.65 (a_1278 = store(a_1313, i0, e_1314)),
% 0.47/0.65 inference(transitivity,[status(thm)],[145, 1021])).
% 0.47/0.65 tff(1029,plain,
% 0.47/0.65 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1028, 1027])).
% 0.47/0.65 tff(1030,plain,
% 0.47/0.65 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1278, i9, e_1279)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1029])).
% 0.47/0.65 tff(1031,plain,
% 0.47/0.65 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = a_1280),
% 0.47/0.65 inference(transitivity,[status(thm)],[1030, 768])).
% 0.47/0.65 tff(1032,plain,
% 0.47/0.65 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(a_1280, i5, e_1281)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1031, 1025])).
% 0.47/0.65 tff(1033,plain,
% 0.47/0.65 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1032])).
% 0.47/0.65 tff(1034,plain,
% 0.47/0.65 (a_1282 = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.65 inference(transitivity,[status(thm)],[782, 1033])).
% 0.47/0.65 tff(1035,plain,
% 0.47/0.65 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1034, 64])).
% 0.47/0.65 tff(1036,plain,
% 0.47/0.65 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.47/0.65 inference(transitivity,[status(thm)],[1035, 53])).
% 0.47/0.65 tff(1037,plain,
% 0.47/0.65 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1036])).
% 0.47/0.65 tff(1038,plain,
% 0.47/0.65 (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[789, 1037])).
% 0.47/0.65 tff(1039,plain,
% 0.47/0.65 (i5 = i9),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[793, 222, 1038])).
% 0.47/0.65 tff(1040,plain,
% 0.47/0.65 (i9 = i5),
% 0.47/0.65 inference(symmetry,[status(thm)],[1039])).
% 0.47/0.65 tff(1041,plain,
% 0.47/0.65 (select(a_1315, i9) = select(a_1315, i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1040])).
% 0.47/0.65 tff(1042,plain,
% 0.47/0.65 (select(a_1315, i5) = select(a_1315, i9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1041])).
% 0.47/0.65 tff(1043,plain,
% 0.47/0.65 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.47/0.65 inference(transitivity,[status(thm)],[39, 1042, 142, 133])).
% 0.47/0.65 tff(1044,plain,
% 0.47/0.65 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[57, 1040, 1043])).
% 0.47/0.65 tff(1045,plain,
% 0.47/0.65 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1044])).
% 0.47/0.65 tff(1046,plain,
% 0.47/0.65 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1315, i5, e_1316))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(1047,plain,
% 0.47/0.65 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1315, i5, e_1316)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1046, 27])).
% 0.47/0.65 tff(1048,plain,
% 0.47/0.65 (store(a_1315, i5, e_1316) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.47/0.65 inference(symmetry,[status(thm)],[1047])).
% 0.47/0.65 tff(1049,plain,
% 0.47/0.65 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[44, 1039, 51])).
% 0.47/0.65 tff(1050,plain,
% 0.47/0.65 (store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9)) = store(a_1315, i5, e_1316)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1049])).
% 0.47/0.65 tff(1051,plain,
% 0.47/0.65 (store(a_1313, i0, e_1314) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.47/0.65 inference(symmetry,[status(thm)],[41])).
% 0.47/0.65 tff(1052,plain,
% 0.47/0.65 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5)) = store(a_1313, i0, e_1314))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(1053,plain,
% 0.47/0.65 (store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5)) = store(a_1313, i0, e_1314)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1052, 27])).
% 0.47/0.65 tff(1054,plain,
% 0.47/0.65 (select(store(a_1313, i0, e_1314), i5) = select(a_1315, i5)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[45])).
% 0.47/0.65 tff(1055,plain,
% 0.47/0.65 (select(a_1315, i5) = select(store(a_1313, i0, e_1314), i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1054])).
% 0.47/0.65 tff(1056,plain,
% 0.47/0.65 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1040, 1055])).
% 0.47/0.65 tff(1057,plain,
% 0.47/0.65 (select(a_1278, i5) = select(store(a_1278, i9, e_1279), i9)),
% 0.47/0.65 inference(transitivity,[status(thm)],[808, 805])).
% 0.47/0.65 tff(1058,plain,
% 0.47/0.65 (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i5)) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[802, 1039, 1057])).
% 0.47/0.65 tff(1059,plain,
% 0.47/0.65 (select(a_1315, i5) = select(a_1278, i5)),
% 0.47/0.65 inference(symmetry,[status(thm)],[1026])).
% 0.47/0.65 tff(1060,plain,
% 0.47/0.65 (e_1281 = select(a_1278, i5)),
% 0.47/0.65 inference(transitivity,[status(thm)],[67, 1023, 1041, 1059])).
% 0.47/0.65 tff(1061,plain,
% 0.47/0.65 (a_1280 = store(store(a_1276, i0, e_1277), i9, select(a_1278, i5))),
% 0.47/0.65 inference(transitivity,[status(thm)],[767, 803])).
% 0.47/0.65 tff(1062,plain,
% 0.47/0.65 (store(a_1280, i5, e_1281) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i5))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[1061, 1060])).
% 0.47/0.65 tff(1063,plain,
% 0.47/0.65 (a_1282 = a_1319),
% 0.47/0.65 inference(transitivity,[status(thm)],[782, 1062, 1058, 800, 1029, 1056, 1053, 1051, 1050, 1048, 1045, 36])).
% 0.47/0.65 tff(1064,plain,
% 0.47/0.65 ($false),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[789, 1063])).
% 0.47/0.65 tff(1065,plain,((~(store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2)) = store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)))) | (~(store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (i8 = i5)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.65 tff(1066,plain,
% 0.47/0.65 ((~(store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i1)))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (i8 = i5)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[1065, 423])).
% 0.47/0.65 tff(1067,plain,
% 0.47/0.65 ($false),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1066, 227, 251, 252, 380, 379, 378])).
% 0.47/0.66 tff(1068,plain,((i7 = i1) | (i8 = i5) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.66 tff(1069,plain,
% 0.47/0.66 (i7 = i1),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1068, 359, 252, 377, 372])).
% 0.47/0.66 tff(1070,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1071,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i8 = i5) | (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1072,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i8 = i5) | (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 0.47/0.66 tff(1073,plain,
% 0.47/0.66 ((i8 = i5) | (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1072, 222])).
% 0.47/0.66 tff(1074,plain,
% 0.47/0.66 (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1073, 252])).
% 0.47/0.66 tff(1075,plain,
% 0.47/0.66 ((i5 = i1) <=> (i1 = i5)),
% 0.47/0.66 inference(commutativity,[status(thm)],[])).
% 0.47/0.66 tff(1076,plain,
% 0.47/0.66 ((i1 = i5) <=> (i5 = i1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1075])).
% 0.47/0.66 tff(1077,plain,
% 0.47/0.66 (a_1292 = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5))),
% 0.47/0.66 inference(transitivity,[status(thm)],[234, 655, 323])).
% 0.47/0.66 tff(1078,plain,
% 0.47/0.66 (select(a_1292, i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1077])).
% 0.47/0.66 tff(1079,plain,
% 0.47/0.66 (select(store(a_1288, i5, e_1289), i4) = select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[380])).
% 0.47/0.66 tff(1080,plain,
% 0.47/0.66 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4)),
% 0.47/0.66 inference(transitivity,[status(thm)],[630, 1079, 246, 1078])).
% 0.47/0.66 tff(1081,plain,
% 0.47/0.66 ((select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)) <=> (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1080])).
% 0.47/0.66 tff(1082,plain,
% 0.47/0.66 ((select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)) <=> (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1081])).
% 0.47/0.66 tff(1083,assumption,(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)), introduced(assumption)).
% 0.47/0.66 tff(1084,plain,
% 0.47/0.66 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 0.47/0.66 tff(1085,plain,
% 0.47/0.66 ((i7 = i5) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5)))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[923, 423])).
% 0.47/0.66 tff(1086,plain,
% 0.47/0.66 (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1085, 522, 528, 379, 1084, 380, 530, 463, 529])).
% 0.47/0.66 tff(1087,plain,
% 0.47/0.66 (i7 = i1),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[250, 1086])).
% 0.47/0.66 tff(1088,plain,
% 0.47/0.66 ((i7 = i5) <=> (i1 = i5)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1087])).
% 0.47/0.66 tff(1089,plain,
% 0.47/0.66 ((i7 = i5) <=> (i5 = i1)),
% 0.47/0.66 inference(transitivity,[status(thm)],[1088, 1076])).
% 0.47/0.66 tff(1090,plain,
% 0.47/0.66 ((~(i7 = i5)) <=> (~(i5 = i1))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1089])).
% 0.47/0.66 tff(1091,plain,
% 0.47/0.66 (~(i5 = i1)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[522, 1090])).
% 0.47/0.66 tff(1092,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1093,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1094,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 0.47/0.66 tff(1095,plain,
% 0.47/0.66 ((i5 = i1) | (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1094, 354])).
% 0.47/0.66 tff(1096,plain,
% 0.47/0.66 (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1095, 1091])).
% 0.47/0.66 tff(1097,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(1098,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i1) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1099,plain,
% 0.47/0.66 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i1) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 0.47/0.66 tff(1100,plain,
% 0.47/0.66 ((i5 = i1) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1099, 354])).
% 0.47/0.66 tff(1101,plain,
% 0.47/0.66 (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1100, 1091])).
% 0.47/0.66 tff(1102,assumption,(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))), introduced(assumption)).
% 0.47/0.66 tff(1103,assumption,(~(i5 = i9)), introduced(assumption)).
% 0.47/0.66 tff(1104,plain,
% 0.47/0.66 ((i5 = i9) | (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[793, 222])).
% 0.47/0.66 tff(1105,plain,
% 0.47/0.66 (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1104, 1103])).
% 0.47/0.66 tff(1106,plain,
% 0.47/0.66 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1105])).
% 0.47/0.66 tff(1107,assumption,(i7 = i1), introduced(assumption)).
% 0.47/0.66 tff(1108,plain,
% 0.47/0.66 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[123, 1107, 130])).
% 0.47/0.66 tff(1109,plain,
% 0.47/0.66 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1259, i7, e_1260)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1108])).
% 0.47/0.66 tff(1110,plain,
% 0.47/0.66 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1257, i9, e_1258))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1111,plain,
% 0.47/0.66 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1257, i9, e_1258)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1110, 27])).
% 0.47/0.66 tff(1112,plain,
% 0.47/0.66 (store(a_1257, i9, e_1258) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1111])).
% 0.47/0.66 tff(1113,plain,
% 0.47/0.66 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(a_1257, i9, e_1258))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1114,plain,
% 0.47/0.66 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(a_1257, i9, e_1258)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1113, 27])).
% 0.47/0.66 tff(1115,plain,
% 0.47/0.66 (select(store(a_1257, i9, e_1258), i7) = select(a_1259, i7)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[124])).
% 0.47/0.66 tff(1116,plain,
% 0.47/0.66 (select(a_1259, i7) = select(store(a_1257, i9, e_1258), i7)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1115])).
% 0.47/0.66 tff(1117,plain,
% 0.47/0.66 (i1 = i7),
% 0.47/0.66 inference(symmetry,[status(thm)],[1107])).
% 0.47/0.66 tff(1118,plain,
% 0.47/0.66 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1117, 1116])).
% 0.47/0.66 tff(1119,plain,
% 0.47/0.66 (a_1261 = store(a_1257, i9, e_1258)),
% 0.47/0.66 inference(transitivity,[status(thm)],[452, 1108, 1111])).
% 0.47/0.66 tff(1120,plain,
% 0.47/0.66 (store(a_1261, i1, e_1262) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1119, 433])).
% 0.47/0.66 tff(1121,plain,
% 0.47/0.66 (a_1263 = store(a_1259, i7, e_1260)),
% 0.47/0.66 inference(transitivity,[status(thm)],[448, 1120, 1118, 1114, 1112, 1109])).
% 0.47/0.66 tff(1122,plain,
% 0.47/0.66 (select(a_1263, i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[1121])).
% 0.47/0.66 tff(1123,plain,
% 0.47/0.66 (select(store(a_1259, i7, e_1260), i4) = select(a_1263, i4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1122])).
% 0.47/0.66 tff(1124,plain,
% 0.47/0.66 (select(store(a_1294, i9, e_1295), i7) = select(a_1296, i7)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[211])).
% 0.47/0.66 tff(1125,plain,
% 0.47/0.66 (select(a_1296, i7) = select(store(a_1294, i9, e_1295), i7)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1124])).
% 0.47/0.66 tff(1126,plain,
% 0.47/0.66 (e_1297 = select(store(a_1294, i9, e_1295), i7)),
% 0.47/0.66 inference(transitivity,[status(thm)],[206, 1125])).
% 0.47/0.66 tff(1127,plain,
% 0.47/0.66 (store(a_1296, i1, e_1297) = store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[210, 1117, 1126])).
% 0.47/0.66 tff(1128,plain,
% 0.47/0.66 (store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7)) = store(a_1296, i1, e_1297)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1127])).
% 0.47/0.66 tff(1129,plain,
% 0.47/0.66 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7)) = store(a_1294, i9, e_1295))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(1130,plain,
% 0.47/0.66 (store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7)) = store(a_1294, i9, e_1295)),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[1129, 27])).
% 0.47/0.66 tff(1131,plain,
% 0.47/0.66 (store(a_1294, i9, e_1295) = store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7))),
% 0.47/0.66 inference(symmetry,[status(thm)],[1130])).
% 0.47/0.66 tff(1132,plain,
% 0.47/0.66 (select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(a_1292, i4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1078])).
% 0.47/0.66 tff(1133,plain,
% 0.47/0.66 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[1083])).
% 0.47/0.66 tff(1134,assumption,(select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)), introduced(assumption)).
% 0.47/0.66 tff(1135,assumption,(select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)), introduced(assumption)).
% 0.47/0.66 tff(1136,plain,
% 0.47/0.66 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i9) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i9) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(1137,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i9) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1138,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i9) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9))),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 0.47/0.67 tff(1139,plain,
% 0.47/0.67 ((i5 = i9) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1138, 354])).
% 0.47/0.67 tff(1140,plain,
% 0.47/0.67 (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1139, 1103])).
% 0.47/0.67 tff(1141,plain,
% 0.47/0.67 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i9) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i9) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9)))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(1142,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i5 = i9) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1143,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i5 = i9) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9))),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 0.47/0.67 tff(1144,plain,
% 0.47/0.67 ((i5 = i9) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1143, 354])).
% 0.47/0.67 tff(1145,plain,
% 0.47/0.67 (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1144, 1103])).
% 0.47/0.67 tff(1146,assumption,(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))), introduced(assumption)).
% 0.47/0.67 tff(1147,plain,
% 0.47/0.67 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1146])).
% 0.47/0.67 tff(1148,plain,
% 0.47/0.67 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[652])).
% 0.47/0.67 tff(1149,plain,
% 0.47/0.67 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1148])).
% 0.47/0.67 tff(1150,plain,
% 0.47/0.67 (store(a_1251, i8, e_1252) = store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[474, 11])).
% 0.47/0.67 tff(1151,plain,
% 0.47/0.67 (store(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8, select(a_1251, i5)) = store(a_1251, i8, e_1252)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1150])).
% 0.47/0.67 tff(1152,plain,
% 0.47/0.67 (store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)) = a_1253),
% 0.47/0.67 inference(transitivity,[status(thm)],[485, 1151, 8])).
% 0.47/0.67 tff(1153,plain,
% 0.47/0.67 (store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(a_1253, i5, e_1254)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1152, 480])).
% 0.47/0.67 tff(1154,plain,
% 0.47/0.67 (store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)) = a_1255),
% 0.47/0.67 inference(transitivity,[status(thm)],[643, 1153, 642])).
% 0.47/0.67 tff(1155,plain,
% 0.47/0.67 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(a_1255, i4)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1154])).
% 0.47/0.67 tff(1156,plain,
% 0.47/0.67 (select(a_1255, i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1155])).
% 0.47/0.67 tff(1157,plain,
% 0.47/0.67 (e_1258 = e_1295),
% 0.47/0.67 inference(transitivity,[status(thm)],[461, 1156, 379, 1149, 1133, 1132, 231])).
% 0.47/0.67 tff(1158,plain,
% 0.47/0.67 (store(a_1292, i4, e_1293) = a_1294),
% 0.47/0.67 inference(symmetry,[status(thm)],[665])).
% 0.47/0.67 tff(1159,plain,
% 0.47/0.67 (store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)) = store(a_1253, i5, e_1254)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[8, 4])).
% 0.47/0.67 tff(1160,plain,
% 0.47/0.67 (store(a_1253, i5, e_1254) = store(store(a_1251, i8, e_1252), i5, select(a_1251, i8))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1159])).
% 0.47/0.67 tff(1161,plain,
% 0.47/0.67 (a_1255 = store(store(a_1251, i8, e_1252), i5, select(a_1251, i8))),
% 0.47/0.67 inference(transitivity,[status(thm)],[491, 1160])).
% 0.47/0.67 tff(1162,plain,
% 0.47/0.67 (select(a_1255, i9) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1161])).
% 0.47/0.67 tff(1163,plain,
% 0.47/0.67 (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(a_1255, i9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1162])).
% 0.47/0.67 tff(1164,assumption,(select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9)), introduced(assumption)).
% 0.47/0.67 tff(1165,plain,
% 0.47/0.67 (select(store(a_1251, i8, e_1252), i9) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1164])).
% 0.47/0.67 tff(1166,plain,
% 0.47/0.67 (store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8, select(a_1288, i5))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[496])).
% 0.47/0.67 tff(1167,plain,
% 0.47/0.67 (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8, select(a_1288, i5)) = store(store(a_1286, i8, e_1287), i8, select(a_1288, i5))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1166])).
% 0.47/0.67 tff(1168,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8, select(a_1288, i5)) = store(store(a_1284, i6, e_1285), i8, select(a_1288, i5)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1169,plain,
% 0.47/0.67 (store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8, select(a_1288, i5)) = store(store(a_1284, i6, e_1285), i8, select(a_1288, i5))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1168, 106])).
% 0.47/0.67 tff(1170,plain,
% 0.47/0.67 (store(store(a_1284, i6, e_1285), i8, select(a_1288, i5)) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i8, select(a_1288, i5))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1169])).
% 0.47/0.67 tff(1171,plain,
% 0.47/0.67 (select(store(a_1284, i6, e_1285), i5) = select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5)),
% 0.47/0.67 inference(symmetry,[status(thm)],[528])).
% 0.47/0.67 tff(1172,plain,
% 0.47/0.67 (select(a_1251, i5) = select(a_1288, i5)),
% 0.47/0.67 inference(transitivity,[status(thm)],[644, 529, 647, 1171, 649])).
% 0.47/0.67 tff(1173,plain,
% 0.47/0.67 (store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)) = store(store(a_1284, i6, e_1285), i8, select(a_1288, i5))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[624, 1172])).
% 0.47/0.67 tff(1174,plain,
% 0.47/0.67 (store(a_1251, i8, e_1252) = store(store(a_1286, i8, e_1287), i8, select(a_1288, i5))),
% 0.47/0.67 inference(transitivity,[status(thm)],[1150, 484, 1173, 1170, 1167])).
% 0.47/0.67 tff(1175,plain,
% 0.47/0.67 (select(store(a_1251, i8, e_1252), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1174])).
% 0.47/0.67 tff(1176,plain,
% 0.47/0.67 (select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1175])).
% 0.47/0.67 tff(1177,assumption,(select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)), introduced(assumption)).
% 0.47/0.67 tff(1178,plain,
% 0.47/0.67 (store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)) = store(a_1288, i5, e_1289)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[331, 327])).
% 0.47/0.67 tff(1179,plain,
% 0.47/0.67 (store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)) = a_1290),
% 0.47/0.67 inference(transitivity,[status(thm)],[1178, 243])).
% 0.47/0.67 tff(1180,plain,
% 0.47/0.67 (store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(a_1290, i8, e_1291)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1179, 239])).
% 0.47/0.67 tff(1181,plain,
% 0.47/0.67 (select(a_1284, i6) = select(a_1288, i8)),
% 0.47/0.67 inference(transitivity,[status(thm)],[502, 499])).
% 0.47/0.67 tff(1182,plain,
% 0.47/0.67 (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)) = store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1181])).
% 0.47/0.67 tff(1183,plain,
% 0.47/0.67 (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)) = a_1292),
% 0.47/0.67 inference(transitivity,[status(thm)],[1182, 1102, 1180, 235])).
% 0.47/0.67 tff(1184,plain,
% 0.47/0.67 (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(a_1292, i9)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1183])).
% 0.47/0.67 tff(1185,plain,
% 0.47/0.67 (select(a_1292, i9) = select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1184])).
% 0.47/0.67 tff(1186,plain,
% 0.47/0.67 (e_1293 = e_1256),
% 0.47/0.67 inference(transitivity,[status(thm)],[660, 1185, 1177, 1176, 1165, 1163, 641])).
% 0.47/0.67 tff(1187,plain,
% 0.47/0.67 (a_1292 = a_1255),
% 0.47/0.67 inference(transitivity,[status(thm)],[234, 655, 323, 653, 643, 1153, 642])).
% 0.47/0.67 tff(1188,plain,
% 0.47/0.67 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1187, 1186])).
% 0.47/0.67 tff(1189,plain,
% 0.47/0.67 (store(a_1255, i4, e_1256) = store(a_1292, i4, e_1293)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1188])).
% 0.47/0.67 tff(1190,plain,
% 0.47/0.67 (a_1257 = a_1294),
% 0.47/0.67 inference(transitivity,[status(thm)],[636, 1189, 1158])).
% 0.47/0.67 tff(1191,plain,
% 0.47/0.67 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1190, 1157])).
% 0.47/0.67 tff(1192,plain,
% 0.47/0.67 (store(a_1259, i7, e_1260) = store(a_1296, i1, e_1297)),
% 0.47/0.67 inference(transitivity,[status(thm)],[1108, 1111, 1191, 1131, 1128])).
% 0.47/0.67 tff(1193,plain,
% 0.47/0.67 (select(store(a_1259, i7, e_1260), i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1192])).
% 0.47/0.67 tff(1194,plain,
% 0.47/0.67 (select(store(a_1296, i1, e_1297), i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1193])).
% 0.47/0.67 tff(1195,plain,
% 0.47/0.67 (select(store(a_1296, i1, e_1297), i1) = select(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i1)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[426])).
% 0.47/0.67 tff(1196,plain,
% 0.47/0.67 (select(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i1) = select(store(a_1296, i1, e_1297), i1)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1195])).
% 0.47/0.67 tff(1197,plain,
% 0.47/0.67 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i1) = select(a_1296, i7))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1198,plain,
% 0.47/0.67 (select(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i1) = select(a_1296, i7)),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1197, 139])).
% 0.47/0.67 tff(1199,plain,
% 0.47/0.67 (select(a_1296, i7) = select(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i1)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1198])).
% 0.47/0.67 tff(1200,plain,
% 0.47/0.67 (select(a_1296, i7) = select(a_1296, i1)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1107])).
% 0.47/0.67 tff(1201,plain,
% 0.47/0.67 (select(a_1296, i1) = select(a_1296, i7)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1200])).
% 0.47/0.67 tff(1202,plain,
% 0.47/0.67 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.47/0.67 inference(transitivity,[status(thm)],[198, 1201, 1199, 1196])).
% 0.47/0.67 tff(1203,plain,
% 0.47/0.67 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[202, 1107, 1202])).
% 0.47/0.67 tff(1204,plain,
% 0.47/0.67 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1298, i7, e_1299)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1203])).
% 0.47/0.67 tff(1205,plain,
% 0.47/0.67 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1296, i1, e_1297))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(1206,plain,
% 0.47/0.67 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1296, i1, e_1297)),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[1205, 27])).
% 0.47/0.67 tff(1207,plain,
% 0.47/0.67 (store(a_1296, i1, e_1297) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1206])).
% 0.47/0.67 tff(1208,plain,
% 0.47/0.67 (store(a_1296, i1, e_1297) = a_1300),
% 0.47/0.67 inference(transitivity,[status(thm)],[1207, 1204, 195])).
% 0.47/0.67 tff(1209,plain,
% 0.47/0.67 (select(store(a_1296, i1, e_1297), i4) = select(a_1300, i4)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1208])).
% 0.47/0.67 tff(1210,plain,
% 0.47/0.67 (select(a_1300, i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1209])).
% 0.47/0.67 tff(1211,plain,
% 0.47/0.67 (e_1303 = e_1266),
% 0.47/0.67 inference(transitivity,[status(thm)],[190, 1210, 1194, 1123, 120])).
% 0.47/0.67 tff(1212,plain,
% 0.47/0.67 (store(a_1263, i4, e_1264) = a_1265),
% 0.47/0.67 inference(symmetry,[status(thm)],[713])).
% 0.47/0.67 tff(1213,plain,
% 0.47/0.67 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1120])).
% 0.47/0.67 tff(1214,plain,
% 0.47/0.67 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1118])).
% 0.47/0.67 tff(1215,plain,
% 0.47/0.67 (store(a_1257, i9, e_1258) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.47/0.67 inference(symmetry,[status(thm)],[1114])).
% 0.47/0.67 tff(1216,plain,
% 0.47/0.67 (store(a_1259, i7, e_1260) = a_1263),
% 0.47/0.67 inference(transitivity,[status(thm)],[1108, 1111, 1215, 1214, 1213, 449])).
% 0.47/0.67 tff(1217,plain,
% 0.47/0.67 (store(store(a_1259, i7, e_1260), i4, select(a_1263, i5)) = store(a_1263, i4, e_1264)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1216, 982])).
% 0.47/0.67 tff(1218,plain,
% 0.47/0.67 (store(a_1257, i9, e_1258) = a_1263),
% 0.47/0.67 inference(transitivity,[status(thm)],[1215, 1214, 1213, 449])).
% 0.47/0.67 tff(1219,plain,
% 0.47/0.67 (select(store(a_1257, i9, e_1258), i5) = select(a_1263, i5)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1218])).
% 0.47/0.67 tff(1220,plain,
% 0.47/0.67 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.47/0.67 inference(symmetry,[status(thm)],[1191])).
% 0.47/0.67 tff(1221,plain,
% 0.47/0.67 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1220])).
% 0.47/0.67 tff(1222,plain,
% 0.47/0.67 (store(a_1296, i1, e_1297) = store(a_1294, i9, e_1295)),
% 0.47/0.67 inference(transitivity,[status(thm)],[1127, 1130])).
% 0.47/0.67 tff(1223,plain,
% 0.47/0.67 (select(store(a_1296, i1, e_1297), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[1222])).
% 0.47/0.67 tff(1224,plain,
% 0.47/0.67 (select(a_1300, i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[993])).
% 0.47/0.67 tff(1225,plain,
% 0.47/0.67 (select(a_1300, i5) = select(a_1263, i5)),
% 0.47/0.67 inference(transitivity,[status(thm)],[1224, 697, 1223, 1221, 1219])).
% 0.47/0.67 tff(1226,plain,
% 0.47/0.67 (store(a_1296, i1, e_1297) = store(a_1259, i7, e_1260)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1127, 1130, 1220, 1112, 1109])).
% 0.47/0.68 tff(1227,plain,
% 0.47/0.68 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(store(a_1259, i7, e_1260), i4, select(a_1263, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1226, 1225])).
% 0.47/0.68 tff(1228,plain,
% 0.47/0.68 (a_1300 = store(a_1296, i1, e_1297)),
% 0.47/0.68 inference(transitivity,[status(thm)],[194, 1203, 1206])).
% 0.47/0.68 tff(1229,plain,
% 0.47/0.68 (store(a_1300, i4, e_1301) = store(store(a_1296, i1, e_1297), i4, select(a_1300, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1228, 692])).
% 0.47/0.68 tff(1230,plain,
% 0.47/0.68 (a_1302 = a_1265),
% 0.47/0.68 inference(transitivity,[status(thm)],[688, 1229, 1227, 1217, 1212])).
% 0.47/0.68 tff(1231,plain,
% 0.47/0.68 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1230, 1211])).
% 0.47/0.68 tff(1232,plain,
% 0.47/0.68 (select(a_1304, i0) = select(store(a_1302, i5, e_1303), i0)),
% 0.47/0.68 inference(symmetry,[status(thm)],[182])).
% 0.47/0.68 tff(1233,plain,
% 0.47/0.68 (e_1305 = select(store(a_1302, i5, e_1303), i0)),
% 0.47/0.68 inference(transitivity,[status(thm)],[165, 1232])).
% 0.47/0.68 tff(1234,plain,
% 0.47/0.68 (store(a_1304, i0, e_1305) = store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[173, 1233])).
% 0.47/0.68 tff(1235,plain,
% 0.47/0.68 (store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)) = store(a_1304, i0, e_1305)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[181, 166])).
% 0.47/0.68 tff(1236,plain,
% 0.47/0.68 (store(a_1304, i0, e_1305) = store(store(a_1302, i5, e_1303), i0, select(a_1304, i0))),
% 0.47/0.68 inference(symmetry,[status(thm)],[1235])).
% 0.47/0.68 tff(1237,plain,
% 0.47/0.68 (a_1306 = store(store(a_1302, i5, e_1303), i0, select(a_1304, i0))),
% 0.47/0.68 inference(transitivity,[status(thm)],[169, 1236])).
% 0.47/0.68 tff(1238,plain,
% 0.47/0.68 (store(a_1306, i0, e_1305) = store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1237, 165])).
% 0.47/0.68 tff(1239,plain,
% 0.47/0.68 (a_1307 = a_1270),
% 0.47/0.68 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 1231, 116, 113, 96, 109, 99, 84])).
% 0.47/0.68 tff(1240,plain,
% 0.47/0.68 (select(a_1307, i2) = select(a_1270, i2)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1239])).
% 0.47/0.68 tff(1241,plain,
% 0.47/0.68 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1240])).
% 0.47/0.68 tff(1242,plain,
% 0.47/0.68 (select(a_1270, i2) = e_1310),
% 0.47/0.68 inference(transitivity,[status(thm)],[1241, 80])).
% 0.47/0.68 tff(1243,plain,
% 0.47/0.68 (store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)) = store(a_1302, i5, e_1303)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[689, 191])).
% 0.47/0.68 tff(1244,plain,
% 0.47/0.68 (store(a_1302, i5, e_1303) = store(store(a_1300, i4, e_1301), i5, select(a_1300, i4))),
% 0.47/0.68 inference(symmetry,[status(thm)],[1243])).
% 0.47/0.68 tff(1245,plain,
% 0.47/0.68 (a_1307 = store(store(a_1300, i4, e_1301), i5, select(a_1300, i4))),
% 0.47/0.68 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 1244])).
% 0.47/0.68 tff(1246,plain,
% 0.47/0.68 (select(a_1307, i1) = select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1245])).
% 0.47/0.68 tff(1247,plain,
% 0.47/0.68 (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(a_1307, i1)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1246])).
% 0.47/0.68 tff(1248,plain,
% 0.47/0.68 (select(store(a_1300, i4, e_1301), i1) = select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1135])).
% 0.47/0.68 tff(1249,plain,
% 0.47/0.68 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1229, 1227, 1217])).
% 0.47/0.68 tff(1250,plain,
% 0.47/0.68 (select(store(a_1300, i4, e_1301), i1) = select(store(a_1263, i4, e_1264), i1)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1249])).
% 0.47/0.68 tff(1251,plain,
% 0.47/0.68 (select(store(a_1263, i4, e_1264), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1250])).
% 0.47/0.68 tff(1252,plain,
% 0.47/0.68 (store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)) = store(a_1265, i5, e_1266)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1212, 120])).
% 0.47/0.68 tff(1253,plain,
% 0.47/0.68 (store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)) = a_1270),
% 0.47/0.68 inference(transitivity,[status(thm)],[1252, 116, 113, 96, 109, 99, 84])).
% 0.47/0.68 tff(1254,plain,
% 0.47/0.68 (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(a_1270, i1)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1253])).
% 0.47/0.68 tff(1255,plain,
% 0.47/0.68 (select(a_1270, i1) = select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1254])).
% 0.47/0.68 tff(1256,plain,
% 0.47/0.68 (select(a_1270, i1) = e_1308),
% 0.47/0.68 inference(transitivity,[status(thm)],[1255, 1134, 1251, 1248, 1247, 388])).
% 0.47/0.68 tff(1257,plain,
% 0.47/0.68 (store(store(store(a_1302, i5, e_1303), i0, select(a_1304, i0)), i0, select(a_1304, i0)) = store(a_1306, i0, e_1305)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1238])).
% 0.47/0.68 tff(1258,plain,
% 0.47/0.68 (store(store(a_1302, i5, e_1303), i0, select(store(a_1302, i5, e_1303), i0)) = store(a_1304, i0, e_1305)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1234])).
% 0.47/0.68 tff(1259,plain,
% 0.47/0.68 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1231])).
% 0.47/0.68 tff(1260,plain,
% 0.47/0.68 (store(a_1267, i0, e_1268) = store(store(a_1265, i5, e_1266), i0, select(store(a_1265, i5, e_1266), i0))),
% 0.47/0.68 inference(symmetry,[status(thm)],[113])).
% 0.47/0.68 tff(1261,plain,
% 0.47/0.68 (store(a_1269, i0, e_1268) = store(store(store(a_1265, i5, e_1266), i0, select(a_1267, i0)), i0, select(a_1267, i0))),
% 0.47/0.68 inference(symmetry,[status(thm)],[99])).
% 0.47/0.68 tff(1262,plain,
% 0.47/0.68 (store(a_1269, i0, e_1268) = a_1307),
% 0.47/0.68 inference(transitivity,[status(thm)],[1261, 108, 97, 1260, 115, 1259, 187, 1258, 1236, 180, 1257, 162])).
% 0.47/0.68 tff(1263,plain,
% 0.47/0.68 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1262, 1256])).
% 0.47/0.68 tff(1264,plain,
% 0.47/0.68 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.47/0.68 inference(transitivity,[status(thm)],[1263, 384])).
% 0.47/0.68 tff(1265,plain,
% 0.47/0.68 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1264, 1242])).
% 0.47/0.68 tff(1266,plain,
% 0.47/0.68 (store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.47/0.68 inference(symmetry,[status(thm)],[319])).
% 0.47/0.68 tff(1267,plain,
% 0.47/0.68 (a_1272 = store(store(a_1269, i0, e_1268), i1, select(a_1270, i2))),
% 0.47/0.68 inference(transitivity,[status(thm)],[270, 280])).
% 0.47/0.68 tff(1268,plain,
% 0.47/0.68 (store(a_1272, i2, e_1273) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1267, 157])).
% 0.47/0.68 tff(1269,plain,
% 0.47/0.68 (a_1274 = a_1311),
% 0.47/0.68 inference(transitivity,[status(thm)],[153, 1268, 1266, 1265, 76])).
% 0.47/0.68 tff(1270,plain,
% 0.47/0.68 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1269])).
% 0.47/0.68 tff(1271,plain,
% 0.47/0.68 (e_1277 = e_1314),
% 0.47/0.68 inference(transitivity,[status(thm)],[149, 1270, 72])).
% 0.47/0.68 tff(1272,plain,
% 0.47/0.68 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1269])).
% 0.47/0.68 tff(1273,plain,
% 0.47/0.68 (e_1275 = e_1312),
% 0.47/0.68 inference(transitivity,[status(thm)],[753, 1272, 749])).
% 0.47/0.68 tff(1274,plain,
% 0.47/0.68 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1269, 1273])).
% 0.47/0.68 tff(1275,plain,
% 0.47/0.68 (a_1276 = a_1313),
% 0.47/0.68 inference(transitivity,[status(thm)],[758, 1274, 745])).
% 0.47/0.68 tff(1276,plain,
% 0.47/0.68 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1275, 1271])).
% 0.47/0.68 tff(1277,plain,
% 0.47/0.68 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1276])).
% 0.47/0.68 tff(1278,plain,
% 0.47/0.68 (a_1315 = a_1278),
% 0.47/0.68 inference(transitivity,[status(thm)],[44, 1277, 146])).
% 0.47/0.68 tff(1279,plain,
% 0.47/0.68 (select(a_1315, i9) = select(a_1278, i9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1278])).
% 0.47/0.68 tff(1280,plain,
% 0.47/0.68 (select(a_1278, i9) = select(a_1315, i9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1279])).
% 0.47/0.68 tff(1281,plain,
% 0.47/0.68 (e_1281 = select(a_1315, i9)),
% 0.47/0.68 inference(transitivity,[status(thm)],[67, 1280])).
% 0.47/0.68 tff(1282,plain,
% 0.47/0.68 (a_1278 = a_1315),
% 0.47/0.68 inference(transitivity,[status(thm)],[145, 1276, 45])).
% 0.47/0.68 tff(1283,plain,
% 0.47/0.68 (select(a_1278, i5) = select(a_1315, i5)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1282])).
% 0.47/0.68 tff(1284,plain,
% 0.47/0.68 (e_1279 = select(a_1315, i5)),
% 0.47/0.68 inference(transitivity,[status(thm)],[772, 1283])).
% 0.47/0.68 tff(1285,plain,
% 0.47/0.68 (a_1278 = store(a_1313, i0, e_1314)),
% 0.47/0.68 inference(transitivity,[status(thm)],[145, 1276])).
% 0.47/0.68 tff(1286,plain,
% 0.47/0.68 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1285, 1284])).
% 0.47/0.68 tff(1287,plain,
% 0.47/0.68 (a_1280 = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.68 inference(transitivity,[status(thm)],[767, 1286])).
% 0.47/0.68 tff(1288,plain,
% 0.47/0.68 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1287, 1281])).
% 0.47/0.68 tff(1289,plain,
% 0.47/0.68 (a_1282 = a_1319),
% 0.47/0.68 inference(transitivity,[status(thm)],[782, 1288, 1147, 62, 36])).
% 0.47/0.68 tff(1290,plain,
% 0.47/0.68 ($false),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[789, 1289])).
% 0.47/0.68 tff(1291,plain,((~(i8 = i7)) | (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))) | (~(i7 = i1)) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9) = select(store(a_1251, i8, e_1252), i9))) | (~(select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9))) | (~(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5))) | (~(select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1))) | (~(select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.68 tff(1292,plain,
% 0.47/0.68 (~(i8 = i7)),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[1291, 1105, 1107, 1083, 379, 463, 530, 1145, 1140, 1102, 529, 528, 697, 1135, 1134])).
% 0.47/0.68 tff(1293,plain,
% 0.47/0.68 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[821, 1292])).
% 0.47/0.68 tff(1294,plain,
% 0.47/0.68 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.47/0.68 inference(symmetry,[status(thm)],[1293])).
% 0.47/0.68 tff(1295,plain,
% 0.47/0.68 (a_1284 = a_1247),
% 0.47/0.68 inference(transitivity,[status(thm)],[563, 825, 1294, 521, 506])).
% 0.47/0.68 tff(1296,plain,
% 0.47/0.68 (select(a_1284, i6) = select(a_1247, i6)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1295])).
% 0.47/0.68 tff(1297,plain,
% 0.47/0.68 (select(a_1247, i6) = select(a_1284, i6)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1296])).
% 0.47/0.68 tff(1298,plain,
% 0.47/0.68 (select(a_1247, i6) = select(a_1288, i8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1297, 502, 499])).
% 0.47/0.68 tff(1299,plain,
% 0.47/0.68 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1295, 830])).
% 0.47/0.68 tff(1300,plain,
% 0.47/0.68 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1299])).
% 0.47/0.68 tff(1301,plain,
% 0.47/0.68 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1300, 1298])).
% 0.47/0.68 tff(1302,plain,
% 0.47/0.68 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.47/0.68 inference(symmetry,[status(thm)],[1301])).
% 0.47/0.68 tff(1303,plain,
% 0.47/0.68 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1302])).
% 0.47/0.68 tff(1304,plain,
% 0.47/0.68 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1303])).
% 0.47/0.68 tff(1305,plain,
% 0.47/0.68 (e_1258 = e_1295),
% 0.47/0.68 inference(transitivity,[status(thm)],[461, 1156, 379, 1304, 1133, 1132, 231])).
% 0.47/0.68 tff(1306,plain,
% 0.47/0.68 (select(store(a_1251, i8, e_1252), i9) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1145])).
% 0.47/0.68 tff(1307,plain,
% 0.47/0.68 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1300])).
% 0.47/0.68 tff(1308,plain,
% 0.47/0.68 (select(a_1251, i5) = select(a_1288, i5)),
% 0.47/0.68 inference(transitivity,[status(thm)],[644, 529, 1307, 1171, 649])).
% 0.47/0.68 tff(1309,plain,
% 0.47/0.68 (store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)) = store(store(a_1284, i6, e_1285), i8, select(a_1288, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1300, 1308])).
% 0.47/0.68 tff(1310,plain,
% 0.47/0.68 (store(a_1251, i8, e_1252) = store(store(a_1286, i8, e_1287), i8, select(a_1288, i5))),
% 0.47/0.68 inference(transitivity,[status(thm)],[1150, 484, 1309, 1170, 1167])).
% 0.47/0.68 tff(1311,plain,
% 0.47/0.68 (select(store(a_1251, i8, e_1252), i9) = select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1310])).
% 0.47/0.68 tff(1312,plain,
% 0.47/0.68 (select(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1311])).
% 0.47/0.68 tff(1313,plain,
% 0.47/0.68 (e_1293 = e_1256),
% 0.47/0.68 inference(transitivity,[status(thm)],[660, 1185, 1140, 1312, 1306, 1163, 641])).
% 0.47/0.68 tff(1314,plain,
% 0.47/0.68 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1307])).
% 0.47/0.68 tff(1315,plain,
% 0.47/0.68 (select(a_1288, i5) = select(a_1251, i5)),
% 0.47/0.68 inference(transitivity,[status(thm)],[650, 528, 1314, 646, 645])).
% 0.47/0.68 tff(1316,plain,
% 0.47/0.68 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1302, 1315])).
% 0.47/0.68 tff(1317,plain,
% 0.47/0.68 (a_1292 = a_1255),
% 0.47/0.68 inference(transitivity,[status(thm)],[234, 655, 323, 1316, 643, 1153, 642])).
% 0.47/0.68 tff(1318,plain,
% 0.47/0.68 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1317, 1313])).
% 0.47/0.68 tff(1319,plain,
% 0.47/0.68 (store(a_1255, i4, e_1256) = store(a_1292, i4, e_1293)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1318])).
% 0.47/0.68 tff(1320,plain,
% 0.47/0.68 (a_1257 = a_1294),
% 0.47/0.68 inference(transitivity,[status(thm)],[636, 1319, 1158])).
% 0.47/0.68 tff(1321,plain,
% 0.47/0.68 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1320, 1305])).
% 0.47/0.68 tff(1322,plain,
% 0.47/0.68 (store(a_1259, i7, e_1260) = store(a_1296, i1, e_1297)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1108, 1111, 1321, 1131, 1128])).
% 0.47/0.68 tff(1323,plain,
% 0.47/0.68 (select(store(a_1259, i7, e_1260), i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1322])).
% 0.47/0.68 tff(1324,plain,
% 0.47/0.68 (select(store(a_1296, i1, e_1297), i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1323])).
% 0.47/0.68 tff(1325,plain,
% 0.47/0.68 (e_1303 = e_1266),
% 0.47/0.68 inference(transitivity,[status(thm)],[190, 1210, 1324, 1123, 120])).
% 0.47/0.68 tff(1326,plain,
% 0.47/0.68 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1321])).
% 0.47/0.68 tff(1327,plain,
% 0.47/0.68 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1326])).
% 0.47/0.68 tff(1328,plain,
% 0.47/0.68 (select(a_1300, i5) = select(a_1263, i5)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1224, 697, 1223, 1327, 1219])).
% 0.47/0.68 tff(1329,plain,
% 0.47/0.68 (store(a_1296, i1, e_1297) = store(a_1259, i7, e_1260)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1127, 1130, 1326, 1112, 1109])).
% 0.47/0.68 tff(1330,plain,
% 0.47/0.68 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(store(a_1259, i7, e_1260), i4, select(a_1263, i5))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1329, 1328])).
% 0.47/0.68 tff(1331,plain,
% 0.47/0.68 (a_1302 = a_1265),
% 0.47/0.68 inference(transitivity,[status(thm)],[688, 1229, 1330, 1217, 1212])).
% 0.47/0.68 tff(1332,plain,
% 0.47/0.68 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1331, 1325])).
% 0.47/0.68 tff(1333,plain,
% 0.47/0.68 (a_1307 = a_1270),
% 0.47/0.68 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 1332, 116, 113, 96, 109, 99, 84])).
% 0.47/0.68 tff(1334,plain,
% 0.47/0.68 (select(a_1307, i2) = select(a_1270, i2)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1333])).
% 0.47/0.68 tff(1335,plain,
% 0.47/0.68 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1334])).
% 0.47/0.68 tff(1336,plain,
% 0.47/0.68 (select(a_1270, i2) = e_1310),
% 0.47/0.68 inference(transitivity,[status(thm)],[1335, 80])).
% 0.47/0.68 tff(1337,plain,
% 0.47/0.68 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.47/0.68 inference(transitivity,[status(thm)],[1229, 1330, 1217])).
% 0.47/0.68 tff(1338,plain,
% 0.47/0.68 (select(store(a_1300, i4, e_1301), i1) = select(store(a_1263, i4, e_1264), i1)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1337])).
% 0.47/0.68 tff(1339,plain,
% 0.47/0.68 (select(store(a_1263, i4, e_1264), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1338])).
% 0.47/0.68 tff(1340,plain,
% 0.47/0.68 (select(a_1270, i1) = e_1308),
% 0.47/0.68 inference(transitivity,[status(thm)],[1255, 1134, 1339, 1248, 1247, 388])).
% 0.47/0.68 tff(1341,plain,
% 0.47/0.68 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1332])).
% 0.47/0.68 tff(1342,plain,
% 0.47/0.68 (store(a_1269, i0, e_1268) = a_1307),
% 0.47/0.68 inference(transitivity,[status(thm)],[1261, 108, 97, 1260, 115, 1341, 187, 1258, 1236, 180, 1257, 162])).
% 0.47/0.68 tff(1343,plain,
% 0.47/0.68 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1342, 1340])).
% 0.47/0.68 tff(1344,plain,
% 0.47/0.68 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.47/0.68 inference(transitivity,[status(thm)],[1343, 384])).
% 0.47/0.68 tff(1345,plain,
% 0.47/0.68 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1344, 1336])).
% 0.47/0.68 tff(1346,plain,
% 0.47/0.68 (a_1274 = a_1311),
% 0.47/0.68 inference(transitivity,[status(thm)],[153, 1268, 1266, 1345, 76])).
% 0.47/0.68 tff(1347,plain,
% 0.47/0.68 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1346])).
% 0.47/0.68 tff(1348,plain,
% 0.47/0.68 (e_1277 = e_1314),
% 0.47/0.68 inference(transitivity,[status(thm)],[149, 1347, 72])).
% 0.47/0.68 tff(1349,plain,
% 0.47/0.68 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1346])).
% 0.47/0.68 tff(1350,plain,
% 0.47/0.68 (e_1275 = e_1312),
% 0.47/0.68 inference(transitivity,[status(thm)],[753, 1349, 749])).
% 0.47/0.68 tff(1351,plain,
% 0.47/0.68 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1346, 1350])).
% 0.47/0.68 tff(1352,plain,
% 0.47/0.68 (a_1276 = a_1313),
% 0.47/0.68 inference(transitivity,[status(thm)],[758, 1351, 745])).
% 0.47/0.68 tff(1353,plain,
% 0.47/0.68 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[1352, 1348])).
% 0.47/0.68 tff(1354,plain,
% 0.47/0.68 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.47/0.68 inference(symmetry,[status(thm)],[1353])).
% 0.47/0.69 tff(1355,plain,
% 0.47/0.69 (a_1315 = a_1278),
% 0.47/0.69 inference(transitivity,[status(thm)],[44, 1354, 146])).
% 0.47/0.69 tff(1356,plain,
% 0.47/0.69 (select(a_1315, i9) = select(a_1278, i9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1355])).
% 0.47/0.69 tff(1357,plain,
% 0.47/0.69 (select(a_1278, i9) = select(a_1315, i9)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1356])).
% 0.47/0.69 tff(1358,plain,
% 0.47/0.69 (e_1281 = select(a_1315, i9)),
% 0.47/0.69 inference(transitivity,[status(thm)],[67, 1357])).
% 0.47/0.69 tff(1359,plain,
% 0.47/0.69 (a_1278 = a_1315),
% 0.47/0.69 inference(transitivity,[status(thm)],[145, 1353, 45])).
% 0.47/0.69 tff(1360,plain,
% 0.47/0.69 (select(a_1278, i5) = select(a_1315, i5)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1359])).
% 0.47/0.69 tff(1361,plain,
% 0.47/0.69 (e_1279 = select(a_1315, i5)),
% 0.47/0.69 inference(transitivity,[status(thm)],[772, 1360])).
% 0.47/0.69 tff(1362,plain,
% 0.47/0.69 (a_1278 = store(a_1313, i0, e_1314)),
% 0.47/0.69 inference(transitivity,[status(thm)],[145, 1353])).
% 0.47/0.69 tff(1363,plain,
% 0.47/0.69 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1362, 1361])).
% 0.47/0.69 tff(1364,plain,
% 0.47/0.69 (a_1280 = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(transitivity,[status(thm)],[767, 1363])).
% 0.47/0.69 tff(1365,plain,
% 0.47/0.69 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1364, 1358])).
% 0.47/0.69 tff(1366,plain,
% 0.47/0.69 (a_1282 = a_1319),
% 0.47/0.69 inference(transitivity,[status(thm)],[782, 1365, 1106, 62, 36])).
% 0.47/0.69 tff(1367,plain,
% 0.47/0.69 ($false),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[789, 1366])).
% 0.47/0.69 tff(1368,plain,((i5 = i9) | (~(i7 = i1)) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5))) | (~(select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1))) | (~(select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.69 tff(1369,plain,
% 0.47/0.69 (i5 = i9),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1368, 1087, 1083, 379, 463, 530, 1102, 529, 528, 527, 1101, 1096])).
% 0.47/0.69 tff(1370,plain,
% 0.47/0.69 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[44, 1369, 51])).
% 0.47/0.69 tff(1371,plain,
% 0.47/0.69 (a_1317 = store(a_1313, i0, e_1314)),
% 0.47/0.69 inference(transitivity,[status(thm)],[57, 1370, 41])).
% 0.47/0.69 tff(1372,plain,
% 0.47/0.69 (store(a_1317, i9, e_1318) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1371, 39])).
% 0.47/0.69 tff(1373,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1372])).
% 0.47/0.69 tff(1374,plain,
% 0.47/0.69 (i9 = i5),
% 0.47/0.69 inference(symmetry,[status(thm)],[1369])).
% 0.47/0.69 tff(1375,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1374, 1055])).
% 0.47/0.69 tff(1376,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5)) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1375])).
% 0.47/0.69 tff(1377,plain,
% 0.47/0.69 (store(a_1313, i0, e_1314) = store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1053])).
% 0.47/0.69 tff(1378,plain,
% 0.47/0.69 (select(a_1296, i7) = select(a_1296, i1)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1087])).
% 0.47/0.69 tff(1379,plain,
% 0.47/0.69 (select(a_1296, i1) = select(a_1296, i7)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1378])).
% 0.47/0.69 tff(1380,plain,
% 0.47/0.69 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.47/0.69 inference(transitivity,[status(thm)],[198, 1379, 1199, 1196])).
% 0.47/0.69 tff(1381,plain,
% 0.47/0.69 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[202, 1087, 1380])).
% 0.47/0.69 tff(1382,plain,
% 0.47/0.69 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1298, i7, e_1299)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1381])).
% 0.47/0.69 tff(1383,plain,
% 0.47/0.69 (store(a_1296, i1, e_1297) = a_1300),
% 0.47/0.69 inference(transitivity,[status(thm)],[1207, 1382, 195])).
% 0.47/0.69 tff(1384,plain,
% 0.47/0.69 (select(store(a_1296, i1, e_1297), i4) = select(a_1300, i4)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1383])).
% 0.47/0.69 tff(1385,plain,
% 0.47/0.69 (i1 = i7),
% 0.47/0.69 inference(symmetry,[status(thm)],[1087])).
% 0.47/0.69 tff(1386,plain,
% 0.47/0.69 (store(a_1296, i1, e_1297) = store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[210, 1385, 1126])).
% 0.47/0.69 tff(1387,plain,
% 0.47/0.69 (store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7)) = store(a_1296, i1, e_1297)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1386])).
% 0.47/0.69 tff(1388,plain,
% 0.47/0.69 (i5 = i9),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1368, 1107, 1083, 379, 463, 530, 1102, 529, 528, 697, 1135, 1134])).
% 0.47/0.69 tff(1389,plain,
% 0.47/0.69 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[44, 1388, 51])).
% 0.47/0.69 tff(1390,plain,
% 0.47/0.69 (a_1317 = store(a_1313, i0, e_1314)),
% 0.47/0.69 inference(transitivity,[status(thm)],[57, 1389, 41])).
% 0.47/0.69 tff(1391,plain,
% 0.47/0.69 (store(a_1317, i9, e_1318) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1390, 39])).
% 0.47/0.69 tff(1392,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1391])).
% 0.47/0.69 tff(1393,plain,
% 0.47/0.69 (i9 = i5),
% 0.47/0.69 inference(symmetry,[status(thm)],[1388])).
% 0.47/0.69 tff(1394,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1393, 1055])).
% 0.47/0.69 tff(1395,plain,
% 0.47/0.69 (store(store(a_1313, i0, e_1314), i5, select(store(a_1313, i0, e_1314), i5)) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1394])).
% 0.47/0.69 tff(1396,plain,
% 0.47/0.69 (select(a_1296, i1) = select(a_1296, i7)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1117])).
% 0.47/0.69 tff(1397,plain,
% 0.47/0.69 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.47/0.69 inference(transitivity,[status(thm)],[198, 1396, 1199, 1196])).
% 0.47/0.69 tff(1398,plain,
% 0.47/0.69 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[202, 1107, 1397])).
% 0.47/0.69 tff(1399,plain,
% 0.47/0.69 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1298, i7, e_1299)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1398])).
% 0.47/0.69 tff(1400,plain,
% 0.47/0.69 (store(a_1296, i1, e_1297) = a_1300),
% 0.47/0.69 inference(transitivity,[status(thm)],[1207, 1399, 195])).
% 0.47/0.69 tff(1401,plain,
% 0.47/0.69 (select(store(a_1296, i1, e_1297), i4) = select(a_1300, i4)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1400])).
% 0.47/0.69 tff(1402,plain,
% 0.47/0.69 (store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)) = a_1255),
% 0.47/0.69 inference(transitivity,[status(thm)],[643, 487, 642])).
% 0.47/0.69 tff(1403,plain,
% 0.47/0.69 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(a_1255, i4)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1402])).
% 0.47/0.69 tff(1404,plain,
% 0.47/0.69 (select(a_1255, i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1403])).
% 0.47/0.69 tff(1405,plain,
% 0.47/0.69 (e_1258 = e_1295),
% 0.47/0.69 inference(transitivity,[status(thm)],[461, 1404, 379, 1149, 1133, 1132, 231])).
% 0.47/0.69 tff(1406,plain,
% 0.47/0.69 (select(a_1255, i9) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1161, 1393])).
% 0.47/0.69 tff(1407,plain,
% 0.47/0.69 (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5) = select(a_1255, i9)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1406])).
% 0.47/0.69 tff(1408,plain,
% 0.47/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5) = select(a_1251, i8))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(1409,plain,
% 0.47/0.69 (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5) = select(a_1251, i8)),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1408, 139])).
% 0.47/0.69 tff(1410,plain,
% 0.47/0.69 (select(a_1251, i8) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1409])).
% 0.47/0.69 tff(1411,plain,
% 0.47/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i5) = select(a_1284, i6))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(1412,plain,
% 0.47/0.69 (select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i5) = select(a_1284, i6)),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1411, 139])).
% 0.47/0.69 tff(1413,plain,
% 0.47/0.69 (store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1182])).
% 0.47/0.69 tff(1414,plain,
% 0.47/0.69 (store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1102])).
% 0.47/0.69 tff(1415,plain,
% 0.47/0.69 (store(a_1290, i8, e_1291) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1180])).
% 0.47/0.69 tff(1416,plain,
% 0.47/0.69 (a_1292 = store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6))),
% 0.47/0.69 inference(transitivity,[status(thm)],[234, 1415, 1414, 1413])).
% 0.47/0.69 tff(1417,plain,
% 0.47/0.69 (select(a_1292, i9) = select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i5)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1416, 1393])).
% 0.47/0.69 tff(1418,plain,
% 0.47/0.69 (e_1293 = e_1256),
% 0.47/0.69 inference(transitivity,[status(thm)],[660, 1417, 1412, 565, 574, 479, 476, 1410, 1407, 641])).
% 0.47/0.69 tff(1419,plain,
% 0.47/0.69 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[656, 1418])).
% 0.47/0.69 tff(1420,plain,
% 0.47/0.69 (store(a_1255, i4, e_1256) = store(a_1292, i4, e_1293)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1419])).
% 0.47/0.69 tff(1421,plain,
% 0.47/0.69 (a_1257 = a_1294),
% 0.47/0.69 inference(transitivity,[status(thm)],[636, 1420, 1158])).
% 0.47/0.69 tff(1422,plain,
% 0.47/0.69 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1421, 1405])).
% 0.47/0.69 tff(1423,plain,
% 0.47/0.69 (store(a_1259, i7, e_1260) = store(a_1296, i1, e_1297)),
% 0.47/0.69 inference(transitivity,[status(thm)],[1108, 1111, 1422, 1131, 1128])).
% 0.47/0.69 tff(1424,plain,
% 0.47/0.69 (select(store(a_1259, i7, e_1260), i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1423])).
% 0.47/0.69 tff(1425,plain,
% 0.47/0.69 (e_1266 = e_1303),
% 0.47/0.69 inference(transitivity,[status(thm)],[119, 1122, 1424, 1401, 191])).
% 0.47/0.69 tff(1426,plain,
% 0.47/0.69 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(a_1300, i4, e_1301)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1400, 693])).
% 0.47/0.69 tff(1427,plain,
% 0.47/0.69 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(a_1300, i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1224])).
% 0.47/0.69 tff(1428,plain,
% 0.47/0.69 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1296, i1, e_1297), i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1223])).
% 0.47/0.69 tff(1429,plain,
% 0.47/0.69 (store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)) = store(a_1294, i9, e_1295)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1158, 231])).
% 0.47/0.69 tff(1430,plain,
% 0.47/0.69 (store(a_1294, i9, e_1295) = store(store(a_1292, i4, e_1293), i9, select(a_1292, i4))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1429])).
% 0.47/0.69 tff(1431,plain,
% 0.47/0.69 (select(store(a_1294, i9, e_1295), i5) = select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1430, 1388])).
% 0.47/0.69 tff(1432,plain,
% 0.47/0.69 (select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1431])).
% 0.47/0.69 tff(1433,plain,
% 0.47/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9) = select(a_1292, i4))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(1434,plain,
% 0.47/0.69 (select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9) = select(a_1292, i4)),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1433, 139])).
% 0.47/0.69 tff(1435,plain,
% 0.47/0.69 (select(a_1292, i4) = select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1434])).
% 0.47/0.69 tff(1436,plain,
% 0.47/0.69 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1255, i4, e_1256), i9, select(a_1255, i4)), i9) = select(a_1255, i4))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(1437,plain,
% 0.47/0.69 (select(store(store(a_1255, i4, e_1256), i9, select(a_1255, i4)), i9) = select(a_1255, i4)),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1436, 139])).
% 0.47/0.69 tff(1438,plain,
% 0.47/0.69 (store(store(a_1255, i4, e_1256), i9, select(a_1255, i4)) = store(a_1257, i9, e_1258)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[637, 462])).
% 0.47/0.69 tff(1439,plain,
% 0.47/0.69 (store(a_1257, i9, e_1258) = store(store(a_1255, i4, e_1256), i9, select(a_1255, i4))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1438])).
% 0.47/0.69 tff(1440,plain,
% 0.47/0.69 (select(store(a_1257, i9, e_1258), i5) = select(store(store(a_1255, i4, e_1256), i9, select(a_1255, i4)), i9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1439, 1388])).
% 0.47/0.69 tff(1441,plain,
% 0.47/0.69 (a_1263 = store(a_1257, i9, e_1258)),
% 0.47/0.69 inference(transitivity,[status(thm)],[448, 1120, 1118, 1114])).
% 0.47/0.69 tff(1442,plain,
% 0.47/0.69 (select(a_1263, i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1441])).
% 0.47/0.69 tff(1443,plain,
% 0.47/0.69 (select(a_1263, i5) = select(a_1300, i5)),
% 0.47/0.69 inference(transitivity,[status(thm)],[1442, 1440, 1437, 1404, 379, 1149, 1133, 1132, 1435, 1432, 1428, 698, 1427])).
% 0.47/0.69 tff(1444,plain,
% 0.47/0.69 (store(store(a_1259, i7, e_1260), i4, select(a_1263, i5)) = store(store(a_1296, i1, e_1297), i4, select(a_1300, i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1423, 1443])).
% 0.47/0.69 tff(1445,plain,
% 0.47/0.69 (store(a_1263, i4, e_1264) = store(store(a_1259, i7, e_1260), i4, select(a_1263, i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1121, 706])).
% 0.47/0.69 tff(1446,plain,
% 0.47/0.69 (a_1265 = a_1302),
% 0.47/0.69 inference(transitivity,[status(thm)],[713, 1445, 1444, 1426, 689])).
% 0.47/0.69 tff(1447,plain,
% 0.47/0.69 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1446, 1425])).
% 0.47/0.69 tff(1448,plain,
% 0.47/0.69 (a_1270 = a_1307),
% 0.47/0.69 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1447, 187, 184, 174, 180, 177, 162])).
% 0.47/0.69 tff(1449,plain,
% 0.47/0.69 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1448])).
% 0.47/0.69 tff(1450,plain,
% 0.47/0.69 (select(a_1270, i2) = e_1310),
% 0.47/0.69 inference(transitivity,[status(thm)],[1449, 80])).
% 0.47/0.69 tff(1451,plain,
% 0.47/0.69 (store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)) = a_1307),
% 0.47/0.69 inference(transitivity,[status(thm)],[1243, 187, 184, 174, 180, 177, 162])).
% 0.47/0.69 tff(1452,plain,
% 0.47/0.69 (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(a_1307, i1)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1451])).
% 0.47/0.69 tff(1453,plain,
% 0.47/0.69 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.47/0.69 inference(transitivity,[status(thm)],[1445, 1444, 1426])).
% 0.47/0.69 tff(1454,plain,
% 0.47/0.69 (select(store(a_1263, i4, e_1264), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1453])).
% 0.47/0.69 tff(1455,plain,
% 0.47/0.69 (store(a_1265, i5, e_1266) = store(store(a_1263, i4, e_1264), i5, select(a_1263, i4))),
% 0.47/0.69 inference(symmetry,[status(thm)],[1252])).
% 0.47/0.69 tff(1456,plain,
% 0.47/0.69 (a_1270 = store(store(a_1263, i4, e_1264), i5, select(a_1263, i4))),
% 0.47/0.69 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1455])).
% 0.47/0.69 tff(1457,plain,
% 0.47/0.69 (select(a_1270, i1) = select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1456])).
% 0.47/0.69 tff(1458,plain,
% 0.47/0.69 (select(a_1270, i1) = e_1308),
% 0.47/0.69 inference(transitivity,[status(thm)],[1457, 1134, 1454, 1248, 1452, 388])).
% 0.47/0.69 tff(1459,plain,
% 0.47/0.69 (store(a_1269, i0, e_1268) = a_1307),
% 0.47/0.69 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1447, 187, 184, 174, 180, 177, 162])).
% 0.47/0.69 tff(1460,plain,
% 0.47/0.69 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1459, 1458])).
% 0.47/0.69 tff(1461,plain,
% 0.47/0.69 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.47/0.69 inference(transitivity,[status(thm)],[1460, 384])).
% 0.47/0.69 tff(1462,plain,
% 0.47/0.69 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1461, 1450])).
% 0.47/0.69 tff(1463,plain,
% 0.47/0.69 (a_1274 = a_1311),
% 0.47/0.69 inference(transitivity,[status(thm)],[153, 1268, 1266, 1462, 76])).
% 0.47/0.69 tff(1464,plain,
% 0.47/0.69 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1463])).
% 0.47/0.69 tff(1465,plain,
% 0.47/0.69 (e_1277 = e_1314),
% 0.47/0.69 inference(transitivity,[status(thm)],[149, 1464, 72])).
% 0.47/0.69 tff(1466,plain,
% 0.47/0.69 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1463])).
% 0.47/0.69 tff(1467,plain,
% 0.47/0.69 (e_1275 = e_1312),
% 0.47/0.69 inference(transitivity,[status(thm)],[753, 1466, 749])).
% 0.47/0.69 tff(1468,plain,
% 0.47/0.69 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1463, 1467])).
% 0.47/0.69 tff(1469,plain,
% 0.47/0.69 (a_1276 = a_1313),
% 0.47/0.69 inference(transitivity,[status(thm)],[758, 1468, 745])).
% 0.47/0.69 tff(1470,plain,
% 0.47/0.69 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1469, 1465])).
% 0.47/0.69 tff(1471,plain,
% 0.47/0.69 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5)) = store(a_1276, i0, e_1277))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(1472,plain,
% 0.47/0.69 (store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5)) = store(a_1276, i0, e_1277)),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[1471, 27])).
% 0.47/0.69 tff(1473,plain,
% 0.47/0.69 (select(store(a_1276, i0, e_1277), i5) = select(a_1278, i5)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[146])).
% 0.47/0.69 tff(1474,plain,
% 0.47/0.69 (select(a_1278, i5) = select(store(a_1276, i0, e_1277), i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1473])).
% 0.47/0.69 tff(1475,plain,
% 0.47/0.69 (e_1279 = select(store(a_1276, i0, e_1277), i5)),
% 0.47/0.69 inference(transitivity,[status(thm)],[772, 1474])).
% 0.47/0.69 tff(1476,plain,
% 0.47/0.69 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[145, 1393, 1475])).
% 0.47/0.69 tff(1477,plain,
% 0.47/0.69 (select(a_1278, i5) = select(a_1278, i9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[1388])).
% 0.47/0.69 tff(1478,plain,
% 0.47/0.69 (select(a_1278, i9) = select(a_1278, i5)),
% 0.47/0.69 inference(symmetry,[status(thm)],[1477])).
% 0.47/0.69 tff(1479,plain,
% 0.47/0.69 (e_1281 = select(store(a_1278, i9, e_1279), i9)),
% 0.47/0.69 inference(transitivity,[status(thm)],[67, 1478, 808, 805])).
% 0.47/0.70 tff(1480,plain,
% 0.47/0.70 (store(a_1280, i5, e_1281) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[767, 1388, 1479])).
% 0.47/0.70 tff(1481,plain,
% 0.47/0.70 (a_1282 = a_1319),
% 0.47/0.70 inference(transitivity,[status(thm)],[782, 1480, 800, 1476, 1472, 1470, 1377, 1395, 1392, 36])).
% 0.47/0.70 tff(1482,plain,
% 0.47/0.70 ($false),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[789, 1481])).
% 0.47/0.70 tff(1483,plain,((~(i8 = i7)) | (~(i7 = i1)) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i5) = select(store(a_1296, i1, e_1297), i5))) | (~(select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i1) = select(store(a_1263, i4, e_1264), i1))) | (~(select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1) = select(store(a_1300, i4, e_1301), i1)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.70 tff(1484,plain,
% 0.47/0.70 (~(i8 = i7)),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[1483, 1087, 1083, 379, 463, 530, 1102, 529, 528, 527, 1096, 1101])).
% 0.47/0.70 tff(1485,plain,
% 0.47/0.70 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[821, 1484])).
% 0.47/0.70 tff(1486,plain,
% 0.47/0.70 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.47/0.70 inference(symmetry,[status(thm)],[1485])).
% 0.47/0.70 tff(1487,plain,
% 0.47/0.70 (a_1284 = a_1247),
% 0.47/0.70 inference(transitivity,[status(thm)],[563, 825, 1486, 521, 506])).
% 0.47/0.70 tff(1488,plain,
% 0.47/0.70 (select(a_1284, i6) = select(a_1247, i6)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1487])).
% 0.47/0.70 tff(1489,plain,
% 0.47/0.70 (select(a_1247, i6) = select(a_1284, i6)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1488])).
% 0.47/0.70 tff(1490,plain,
% 0.47/0.70 (select(a_1247, i6) = select(a_1288, i8)),
% 0.47/0.70 inference(transitivity,[status(thm)],[1489, 502, 499])).
% 0.47/0.70 tff(1491,plain,
% 0.47/0.70 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1487, 830])).
% 0.47/0.70 tff(1492,plain,
% 0.47/0.70 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1491])).
% 0.47/0.70 tff(1493,plain,
% 0.47/0.70 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1492, 1490])).
% 0.47/0.70 tff(1494,plain,
% 0.47/0.70 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.47/0.70 inference(symmetry,[status(thm)],[1493])).
% 0.47/0.70 tff(1495,plain,
% 0.47/0.70 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1494])).
% 0.47/0.70 tff(1496,plain,
% 0.47/0.70 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1495])).
% 0.47/0.70 tff(1497,plain,
% 0.47/0.70 (e_1258 = e_1295),
% 0.47/0.70 inference(transitivity,[status(thm)],[461, 1404, 379, 1496, 1133, 1132, 231])).
% 0.47/0.70 tff(1498,plain,
% 0.47/0.70 (select(a_1255, i9) = select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1161, 1374])).
% 0.47/0.70 tff(1499,plain,
% 0.47/0.70 (select(store(store(a_1251, i8, e_1252), i5, select(a_1251, i8)), i5) = select(a_1255, i9)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1498])).
% 0.47/0.70 tff(1500,plain,
% 0.47/0.70 (select(a_1292, i9) = select(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1284, i6)), i5)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1416, 1374])).
% 0.47/0.70 tff(1501,plain,
% 0.47/0.70 (e_1293 = e_1256),
% 0.47/0.70 inference(transitivity,[status(thm)],[660, 1500, 1412, 1488, 479, 476, 1410, 1499, 641])).
% 0.47/0.70 tff(1502,plain,
% 0.47/0.70 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1492])).
% 0.47/0.70 tff(1503,plain,
% 0.47/0.70 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1502])).
% 0.47/0.70 tff(1504,plain,
% 0.47/0.70 (select(a_1288, i5) = select(a_1251, i5)),
% 0.47/0.70 inference(transitivity,[status(thm)],[650, 528, 1503, 646, 645])).
% 0.47/0.70 tff(1505,plain,
% 0.47/0.70 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1494, 1504])).
% 0.47/0.70 tff(1506,plain,
% 0.47/0.70 (a_1292 = a_1255),
% 0.47/0.70 inference(transitivity,[status(thm)],[234, 655, 323, 1505, 643, 487, 642])).
% 0.47/0.70 tff(1507,plain,
% 0.47/0.70 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1506, 1501])).
% 0.47/0.70 tff(1508,plain,
% 0.47/0.70 (store(a_1255, i4, e_1256) = store(a_1292, i4, e_1293)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1507])).
% 0.47/0.70 tff(1509,plain,
% 0.47/0.70 (a_1257 = a_1294),
% 0.47/0.70 inference(transitivity,[status(thm)],[636, 1508, 1158])).
% 0.47/0.70 tff(1510,plain,
% 0.47/0.70 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1509, 1497])).
% 0.47/0.70 tff(1511,plain,
% 0.47/0.70 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[123, 1087, 130])).
% 0.47/0.70 tff(1512,plain,
% 0.47/0.70 (store(a_1259, i7, e_1260) = store(a_1296, i1, e_1297)),
% 0.47/0.70 inference(transitivity,[status(thm)],[1511, 1111, 1510, 1131, 1387])).
% 0.47/0.70 tff(1513,plain,
% 0.47/0.70 (select(store(a_1259, i7, e_1260), i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1512])).
% 0.47/0.70 tff(1514,plain,
% 0.47/0.70 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1259, i7, e_1260)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1511])).
% 0.47/0.70 tff(1515,plain,
% 0.47/0.70 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1385, 1116])).
% 0.47/0.70 tff(1516,plain,
% 0.47/0.70 (a_1261 = store(a_1257, i9, e_1258)),
% 0.47/0.70 inference(transitivity,[status(thm)],[452, 1511, 1111])).
% 0.47/0.70 tff(1517,plain,
% 0.47/0.70 (store(a_1261, i1, e_1262) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1516, 433])).
% 0.47/0.70 tff(1518,plain,
% 0.47/0.70 (a_1263 = store(a_1259, i7, e_1260)),
% 0.47/0.70 inference(transitivity,[status(thm)],[448, 1517, 1515, 1114, 1112, 1514])).
% 0.47/0.70 tff(1519,plain,
% 0.47/0.70 (select(a_1263, i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1518])).
% 0.47/0.70 tff(1520,plain,
% 0.47/0.70 (e_1266 = e_1303),
% 0.47/0.70 inference(transitivity,[status(thm)],[119, 1519, 1513, 1384, 191])).
% 0.47/0.70 tff(1521,plain,
% 0.47/0.70 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(a_1300, i4, e_1301)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1383, 693])).
% 0.47/0.70 tff(1522,plain,
% 0.47/0.70 (store(a_1296, i1, e_1297) = store(a_1294, i9, e_1295)),
% 0.47/0.70 inference(transitivity,[status(thm)],[1386, 1130])).
% 0.47/0.70 tff(1523,plain,
% 0.47/0.70 (select(store(a_1296, i1, e_1297), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1522])).
% 0.47/0.70 tff(1524,plain,
% 0.47/0.70 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1296, i1, e_1297), i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1523])).
% 0.47/0.70 tff(1525,plain,
% 0.47/0.70 (select(store(a_1294, i9, e_1295), i5) = select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1430, 1369])).
% 0.47/0.70 tff(1526,plain,
% 0.47/0.70 (select(store(store(a_1292, i4, e_1293), i9, select(a_1292, i4)), i9) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1525])).
% 0.47/0.70 tff(1527,plain,
% 0.47/0.70 (select(store(a_1257, i9, e_1258), i5) = select(store(store(a_1255, i4, e_1256), i9, select(a_1255, i4)), i9)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1439, 1369])).
% 0.47/0.70 tff(1528,plain,
% 0.47/0.70 (a_1263 = store(a_1257, i9, e_1258)),
% 0.47/0.70 inference(transitivity,[status(thm)],[448, 1517, 1515, 1114])).
% 0.47/0.70 tff(1529,plain,
% 0.47/0.70 (select(a_1263, i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1528])).
% 0.47/0.70 tff(1530,plain,
% 0.47/0.70 (select(a_1263, i5) = select(a_1300, i5)),
% 0.47/0.70 inference(transitivity,[status(thm)],[1529, 1527, 1437, 1404, 379, 1496, 1133, 1132, 1435, 1526, 1524, 866, 1427])).
% 0.47/0.70 tff(1531,plain,
% 0.47/0.70 (store(store(a_1259, i7, e_1260), i4, select(a_1263, i5)) = store(store(a_1296, i1, e_1297), i4, select(a_1300, i5))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1512, 1530])).
% 0.47/0.70 tff(1532,plain,
% 0.47/0.70 (store(a_1263, i4, e_1264) = store(store(a_1259, i7, e_1260), i4, select(a_1263, i5))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1518, 706])).
% 0.47/0.70 tff(1533,plain,
% 0.47/0.70 (a_1265 = a_1302),
% 0.47/0.70 inference(transitivity,[status(thm)],[713, 1532, 1531, 1521, 689])).
% 0.47/0.70 tff(1534,plain,
% 0.47/0.70 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1533, 1520])).
% 0.47/0.70 tff(1535,plain,
% 0.47/0.70 (a_1270 = a_1307),
% 0.47/0.70 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1534, 187, 184, 174, 180, 177, 162])).
% 0.47/0.70 tff(1536,plain,
% 0.47/0.70 (select(a_1270, i2) = select(a_1307, i2)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1535])).
% 0.47/0.70 tff(1537,plain,
% 0.47/0.70 (select(a_1270, i2) = e_1310),
% 0.47/0.70 inference(transitivity,[status(thm)],[1536, 80])).
% 0.47/0.70 tff(1538,plain,
% 0.47/0.70 (select(store(a_1300, i4, e_1301), i1) = select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i1)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1101])).
% 0.47/0.70 tff(1539,plain,
% 0.47/0.70 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.47/0.70 inference(transitivity,[status(thm)],[1532, 1531, 1521])).
% 0.47/0.70 tff(1540,plain,
% 0.47/0.70 (select(store(a_1263, i4, e_1264), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1539])).
% 0.47/0.70 tff(1541,plain,
% 0.47/0.70 (select(a_1270, i1) = e_1308),
% 0.47/0.70 inference(transitivity,[status(thm)],[1457, 1096, 1540, 1538, 1452, 388])).
% 0.47/0.70 tff(1542,plain,
% 0.47/0.70 (store(a_1269, i0, e_1268) = a_1307),
% 0.47/0.70 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1534, 187, 184, 174, 180, 177, 162])).
% 0.47/0.70 tff(1543,plain,
% 0.47/0.70 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1542, 1541])).
% 0.47/0.70 tff(1544,plain,
% 0.47/0.70 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.47/0.70 inference(transitivity,[status(thm)],[1543, 384])).
% 0.47/0.70 tff(1545,plain,
% 0.47/0.70 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1544, 1537])).
% 0.47/0.70 tff(1546,plain,
% 0.47/0.70 (a_1274 = a_1311),
% 0.47/0.70 inference(transitivity,[status(thm)],[153, 1268, 1266, 1545, 76])).
% 0.47/0.70 tff(1547,plain,
% 0.47/0.70 (select(a_1274, i3) = select(a_1311, i3)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1546])).
% 0.47/0.70 tff(1548,plain,
% 0.47/0.70 (e_1277 = e_1314),
% 0.47/0.70 inference(transitivity,[status(thm)],[149, 1547, 72])).
% 0.47/0.70 tff(1549,plain,
% 0.47/0.70 (select(a_1274, i0) = select(a_1311, i0)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1546])).
% 0.47/0.70 tff(1550,plain,
% 0.47/0.70 (e_1275 = e_1312),
% 0.47/0.70 inference(transitivity,[status(thm)],[753, 1549, 749])).
% 0.47/0.70 tff(1551,plain,
% 0.47/0.70 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1546, 1550])).
% 0.47/0.70 tff(1552,plain,
% 0.47/0.70 (a_1276 = a_1313),
% 0.47/0.70 inference(transitivity,[status(thm)],[758, 1551, 745])).
% 0.47/0.70 tff(1553,plain,
% 0.47/0.70 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1552, 1548])).
% 0.47/0.70 tff(1554,plain,
% 0.47/0.70 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[145, 1374, 1475])).
% 0.47/0.70 tff(1555,plain,
% 0.47/0.70 (select(a_1278, i5) = select(a_1278, i9)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1369])).
% 0.47/0.70 tff(1556,plain,
% 0.47/0.70 (select(a_1278, i9) = select(a_1278, i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1555])).
% 0.47/0.70 tff(1557,plain,
% 0.47/0.70 (e_1281 = select(store(a_1278, i9, e_1279), i9)),
% 0.47/0.70 inference(transitivity,[status(thm)],[67, 1556, 808, 805])).
% 0.47/0.70 tff(1558,plain,
% 0.47/0.70 (store(a_1280, i5, e_1281) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.47/0.70 inference(monotonicity,[status(thm)],[767, 1369, 1557])).
% 0.47/0.70 tff(1559,plain,
% 0.47/0.70 (a_1282 = a_1319),
% 0.47/0.70 inference(transitivity,[status(thm)],[782, 1558, 800, 1554, 1472, 1553, 1377, 1376, 1373, 36])).
% 0.47/0.70 tff(1560,plain,
% 0.47/0.70 ($false),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[789, 1559])).
% 0.47/0.70 tff(1561,plain,((i7 = i5) | (~(select(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)), i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4))) | (~(select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)))) | (~(store(store(store(a_1286, i8, e_1287), i8, select(a_1288, i5)), i5, select(a_1288, i8)) = store(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i8, select(a_1288, i5)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.70 tff(1562,plain,
% 0.47/0.70 (i7 = i5),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[1561, 371, 377, 262, 257, 1074, 444, 439, 359])).
% 0.47/0.70 tff(1563,plain,
% 0.47/0.70 (i5 = i7),
% 0.47/0.70 inference(symmetry,[status(thm)],[1562])).
% 0.47/0.70 tff(1564,plain,
% 0.47/0.70 (i5 = i1),
% 0.47/0.70 inference(transitivity,[status(thm)],[1563, 1069])).
% 0.47/0.70 tff(1565,plain,
% 0.47/0.70 (select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i5) = select(a_1270, i1)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1253, 1564])).
% 0.47/0.70 tff(1566,plain,
% 0.47/0.70 (select(a_1270, i1) = select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[1565])).
% 0.47/0.70 tff(1567,plain,
% 0.47/0.70 (select(a_1270, i1) = e_1266),
% 0.47/0.70 inference(transitivity,[status(thm)],[1566, 321, 120])).
% 0.47/0.70 tff(1568,plain,
% 0.47/0.70 (i1 = i7),
% 0.47/0.70 inference(symmetry,[status(thm)],[1069])).
% 0.47/0.70 tff(1569,plain,
% 0.47/0.70 (i1 = i5),
% 0.47/0.70 inference(transitivity,[status(thm)],[1568, 1562])).
% 0.47/0.70 tff(1570,plain,
% 0.47/0.70 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i1)) = store(a_1265, i5, e_1266)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1212, 1569, 1567])).
% 0.47/0.70 tff(1571,plain,
% 0.47/0.70 (select(a_1263, i4) = select(store(store(a_1263, i4, e_1264), i5, select(a_1263, i4)), i5)),
% 0.47/0.70 inference(symmetry,[status(thm)],[321])).
% 0.47/0.70 tff(1572,plain,
% 0.47/0.70 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i7, select(a_1259, i1))),
% 0.47/0.70 inference(symmetry,[status(thm)],[455])).
% 0.47/0.70 tff(1573,plain,
% 0.47/0.70 (select(store(a_1259, i7, e_1260), i7) = select(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i7)),
% 0.47/0.70 inference(monotonicity,[status(thm)],[1572])).
% 0.47/0.70 tff(1574,plain,
% 0.47/0.70 (select(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i7) = select(store(a_1259, i7, e_1260), i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1573])).
% 0.47/0.71 tff(1575,plain,
% 0.47/0.71 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i7) = select(a_1259, i1))),
% 0.47/0.71 inference(quant_inst,[status(thm)],[])).
% 0.47/0.71 tff(1576,plain,
% 0.47/0.71 (select(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i7) = select(a_1259, i1)),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[1575, 139])).
% 0.47/0.71 tff(1577,plain,
% 0.47/0.71 (select(a_1259, i1) = select(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1576])).
% 0.47/0.71 tff(1578,plain,
% 0.47/0.71 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i1)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[124, 1564])).
% 0.47/0.71 tff(1579,plain,
% 0.47/0.71 (select(a_1259, i7) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[123, 1562])).
% 0.47/0.71 tff(1580,plain,
% 0.47/0.71 (e_1262 = select(store(a_1259, i7, e_1260), i7)),
% 0.47/0.71 inference(transitivity,[status(thm)],[433, 1579, 1578, 1577, 1574])).
% 0.47/0.71 tff(1581,plain,
% 0.47/0.71 (store(a_1261, i1, e_1262) = store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[452, 1568, 1580])).
% 0.47/0.71 tff(1582,plain,
% 0.47/0.71 (store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7)) = store(a_1261, i1, e_1262)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1581])).
% 0.47/0.71 tff(1583,plain,
% 0.47/0.71 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7)) = store(a_1259, i7, e_1260))),
% 0.47/0.71 inference(quant_inst,[status(thm)],[])).
% 0.47/0.71 tff(1584,plain,
% 0.47/0.71 (store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7)) = store(a_1259, i7, e_1260)),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[1583, 27])).
% 0.47/0.71 tff(1585,plain,
% 0.47/0.71 (store(a_1259, i7, e_1260) = store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7))),
% 0.47/0.71 inference(symmetry,[status(thm)],[1584])).
% 0.47/0.71 tff(1586,plain,
% 0.47/0.71 (store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)) = a_1255),
% 0.47/0.71 inference(transitivity,[status(thm)],[953, 487, 642])).
% 0.47/0.71 tff(1587,plain,
% 0.47/0.71 (select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4) = select(a_1255, i4)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1586])).
% 0.47/0.71 tff(1588,plain,
% 0.47/0.71 (select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4) = select(store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)), i4)),
% 0.47/0.71 inference(symmetry,[status(thm)],[377])).
% 0.47/0.71 tff(1589,plain,
% 0.47/0.71 (~(i8 = i7)),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[938, 1562, 252])).
% 0.47/0.71 tff(1590,plain,
% 0.47/0.71 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[821, 1589])).
% 0.47/0.71 tff(1591,plain,
% 0.47/0.71 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.47/0.71 inference(symmetry,[status(thm)],[1590])).
% 0.47/0.71 tff(1592,plain,
% 0.47/0.71 (a_1284 = a_1247),
% 0.47/0.71 inference(transitivity,[status(thm)],[563, 825, 1591, 521, 506])).
% 0.47/0.71 tff(1593,plain,
% 0.47/0.71 (select(a_1284, i6) = select(a_1247, i6)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1592])).
% 0.47/0.71 tff(1594,plain,
% 0.47/0.71 (select(a_1247, i6) = select(a_1284, i6)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1593])).
% 0.47/0.71 tff(1595,plain,
% 0.47/0.71 (select(a_1247, i6) = select(a_1288, i8)),
% 0.47/0.71 inference(transitivity,[status(thm)],[1594, 502, 499])).
% 0.47/0.71 tff(1596,plain,
% 0.47/0.71 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1592, 830])).
% 0.47/0.71 tff(1597,plain,
% 0.47/0.71 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1596])).
% 0.47/0.71 tff(1598,plain,
% 0.47/0.71 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1597, 1595])).
% 0.47/0.71 tff(1599,plain,
% 0.47/0.71 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.47/0.71 inference(symmetry,[status(thm)],[1598])).
% 0.47/0.71 tff(1600,plain,
% 0.47/0.71 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i4)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1599])).
% 0.47/0.71 tff(1601,plain,
% 0.47/0.71 (e_1295 = e_1258),
% 0.47/0.71 inference(transitivity,[status(thm)],[230, 347, 371, 1600, 1588, 1587, 462])).
% 0.47/0.71 tff(1602,plain,
% 0.47/0.71 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1597])).
% 0.47/0.71 tff(1603,plain,
% 0.47/0.71 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1602])).
% 0.47/0.71 tff(1604,plain,
% 0.47/0.71 (select(a_1288, i5) = select(a_1251, i5)),
% 0.47/0.71 inference(transitivity,[status(thm)],[650, 439, 1603, 954, 645])).
% 0.47/0.71 tff(1605,plain,
% 0.47/0.71 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1599, 1604])).
% 0.47/0.71 tff(1606,plain,
% 0.47/0.71 (a_1292 = a_1255),
% 0.47/0.71 inference(transitivity,[status(thm)],[234, 345, 323, 1605, 953, 487, 642])).
% 0.47/0.71 tff(1607,plain,
% 0.47/0.71 (select(a_1292, i9) = select(a_1255, i9)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1606])).
% 0.47/0.71 tff(1608,plain,
% 0.47/0.71 (e_1293 = e_1256),
% 0.47/0.71 inference(transitivity,[status(thm)],[660, 1607, 641])).
% 0.47/0.71 tff(1609,plain,
% 0.47/0.71 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1606, 1608])).
% 0.47/0.71 tff(1610,plain,
% 0.47/0.71 (a_1294 = a_1257),
% 0.47/0.71 inference(transitivity,[status(thm)],[665, 1609, 637])).
% 0.47/0.71 tff(1611,plain,
% 0.47/0.71 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1610, 1601])).
% 0.47/0.71 tff(1612,plain,
% 0.47/0.71 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1611])).
% 0.47/0.71 tff(1613,plain,
% 0.47/0.71 (a_1259 = a_1296),
% 0.47/0.71 inference(transitivity,[status(thm)],[123, 1612, 211])).
% 0.47/0.71 tff(1614,plain,
% 0.47/0.71 (select(a_1259, i1) = select(a_1296, i1)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1613])).
% 0.47/0.71 tff(1615,plain,
% 0.47/0.71 (e_1260 = select(a_1296, i1)),
% 0.47/0.71 inference(transitivity,[status(thm)],[129, 1614])).
% 0.47/0.71 tff(1616,plain,
% 0.47/0.71 (a_1259 = store(a_1294, i9, e_1295)),
% 0.47/0.71 inference(transitivity,[status(thm)],[123, 1612])).
% 0.47/0.71 tff(1617,plain,
% 0.47/0.71 (store(a_1259, i7, e_1260) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1616, 1615])).
% 0.47/0.71 tff(1618,plain,
% 0.47/0.71 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(a_1259, i7, e_1260)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1617])).
% 0.47/0.71 tff(1619,plain,
% 0.47/0.71 (select(store(a_1294, i9, e_1295), i1) = select(a_1296, i1)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[211])).
% 0.47/0.71 tff(1620,plain,
% 0.47/0.71 (select(a_1296, i1) = select(store(a_1294, i9, e_1295), i1)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1619])).
% 0.47/0.71 tff(1621,plain,
% 0.47/0.71 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1069, 1620])).
% 0.47/0.71 tff(1622,plain,
% 0.47/0.71 (store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1)) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.47/0.71 inference(symmetry,[status(thm)],[1621])).
% 0.47/0.71 tff(1623,plain,
% 0.47/0.71 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1)) = store(a_1294, i9, e_1295))),
% 0.47/0.71 inference(quant_inst,[status(thm)],[])).
% 0.47/0.71 tff(1624,plain,
% 0.47/0.71 (store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1)) = store(a_1294, i9, e_1295)),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[1623, 27])).
% 0.47/0.71 tff(1625,plain,
% 0.47/0.71 (store(a_1294, i9, e_1295) = store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1))),
% 0.47/0.71 inference(symmetry,[status(thm)],[1624])).
% 0.47/0.71 tff(1626,plain,
% 0.47/0.71 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1568, 1116])).
% 0.47/0.71 tff(1627,plain,
% 0.47/0.71 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1579])).
% 0.47/0.71 tff(1628,plain,
% 0.47/0.71 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1611])).
% 0.47/0.71 tff(1629,plain,
% 0.47/0.71 (select(a_1296, i7) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[210, 1562])).
% 0.47/0.71 tff(1630,plain,
% 0.47/0.71 (e_1297 = select(a_1259, i7)),
% 0.47/0.71 inference(transitivity,[status(thm)],[206, 1629, 1628, 1627])).
% 0.47/0.71 tff(1631,plain,
% 0.47/0.71 (a_1296 = store(a_1257, i9, e_1258)),
% 0.47/0.71 inference(transitivity,[status(thm)],[210, 1611])).
% 0.47/0.71 tff(1632,plain,
% 0.47/0.71 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1631, 1630])).
% 0.47/0.71 tff(1633,plain,
% 0.47/0.71 (store(a_1296, i1, e_1297) = a_1263),
% 0.47/0.71 inference(transitivity,[status(thm)],[1632, 1626, 1114, 1612, 1625, 1622, 1618, 1585, 1582, 449])).
% 0.47/0.71 tff(1634,plain,
% 0.47/0.71 (select(store(a_1296, i1, e_1297), i4) = select(a_1263, i4)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1633])).
% 0.47/0.71 tff(1635,plain,
% 0.47/0.71 (select(a_1296, i7) = select(store(a_1296, i1, e_1297), i1)),
% 0.47/0.71 inference(transitivity,[status(thm)],[1199, 1196])).
% 0.47/0.71 tff(1636,plain,
% 0.47/0.71 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7)) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[212, 1069, 1635])).
% 0.47/0.71 tff(1637,plain,
% 0.47/0.71 (select(store(a_1294, i9, e_1295), i5) = select(a_1296, i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1629])).
% 0.47/0.71 tff(1638,plain,
% 0.47/0.71 (select(store(a_1257, i9, e_1258), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1628])).
% 0.47/0.71 tff(1639,plain,
% 0.47/0.71 (select(a_1259, i1) = select(store(a_1257, i9, e_1258), i5)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1578])).
% 0.47/0.71 tff(1640,plain,
% 0.47/0.71 (select(a_1296, i1) = select(a_1259, i1)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1614])).
% 0.47/0.71 tff(1641,plain,
% 0.47/0.71 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7) = select(a_1300, i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[695, 1562])).
% 0.47/0.71 tff(1642,plain,
% 0.47/0.71 (select(a_1300, i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[1641])).
% 0.47/0.71 tff(1643,plain,
% 0.47/0.71 (select(a_1300, i5) = select(a_1296, i7)),
% 0.47/0.71 inference(transitivity,[status(thm)],[1642, 991, 1640, 1639, 1638, 1637])).
% 0.47/0.71 tff(1644,plain,
% 0.47/0.71 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[426, 1563, 1643])).
% 0.47/0.71 tff(1645,plain,
% 0.47/0.71 (select(a_1296, i1) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.47/0.71 inference(symmetry,[status(thm)],[991])).
% 0.47/0.71 tff(1646,plain,
% 0.47/0.71 (e_1299 = select(a_1300, i5)),
% 0.47/0.71 inference(transitivity,[status(thm)],[198, 1645, 1641])).
% 0.47/0.71 tff(1647,plain,
% 0.47/0.71 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.47/0.71 inference(monotonicity,[status(thm)],[202, 1562, 1646])).
% 0.47/0.71 tff(1648,plain,
% 0.47/0.71 (a_1300 = store(a_1296, i1, e_1297)),
% 0.47/0.71 inference(transitivity,[status(thm)],[194, 1647, 1644, 1636, 1206])).
% 0.47/0.71 tff(1649,plain,
% 0.47/0.71 (select(a_1300, i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1648])).
% 0.47/0.71 tff(1650,plain,
% 0.47/0.71 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i5) = select(a_1300, i4))),
% 0.47/0.71 inference(quant_inst,[status(thm)],[])).
% 0.47/0.71 tff(1651,plain,
% 0.47/0.71 (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i5) = select(a_1300, i4)),
% 0.47/0.71 inference(unit_resolution,[status(thm)],[1650, 139])).
% 0.47/0.71 tff(1652,plain,
% 0.47/0.71 (select(a_1307, i1) = select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i5)),
% 0.47/0.71 inference(monotonicity,[status(thm)],[1245, 1569])).
% 0.55/0.71 tff(1653,plain,
% 0.55/0.71 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.71 inference(transitivity,[status(thm)],[1652, 1651, 1649, 1634, 1571, 1565])).
% 0.55/0.71 tff(1654,plain,
% 0.55/0.71 (store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[453, 434])).
% 0.55/0.71 tff(1655,plain,
% 0.55/0.71 (store(a_1261, i1, e_1262) = store(store(a_1259, i7, e_1260), i1, select(a_1259, i7))),
% 0.55/0.71 inference(symmetry,[status(thm)],[1654])).
% 0.55/0.71 tff(1656,plain,
% 0.55/0.71 (a_1263 = store(store(a_1259, i7, e_1260), i1, select(a_1259, i7))),
% 0.55/0.71 inference(transitivity,[status(thm)],[448, 1655])).
% 0.55/0.71 tff(1657,plain,
% 0.55/0.71 (select(a_1263, i5) = select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1656, 1564])).
% 0.55/0.71 tff(1658,plain,
% 0.55/0.71 (select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1) = select(a_1263, i5)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1657])).
% 0.55/0.71 tff(1659,plain,
% 0.55/0.71 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1) = select(a_1259, i7))),
% 0.55/0.71 inference(quant_inst,[status(thm)],[])).
% 0.55/0.71 tff(1660,plain,
% 0.55/0.71 (select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1) = select(a_1259, i7)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[1659, 139])).
% 0.55/0.71 tff(1661,plain,
% 0.55/0.71 (select(a_1259, i7) = select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1660])).
% 0.55/0.71 tff(1662,plain,
% 0.55/0.71 (select(a_1300, i5) = e_1264),
% 0.55/0.71 inference(transitivity,[status(thm)],[1642, 991, 1640, 1639, 1627, 1661, 1658, 982])).
% 0.55/0.71 tff(1663,plain,
% 0.55/0.71 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(a_1263, i4, e_1264)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1633, 1662])).
% 0.55/0.71 tff(1664,plain,
% 0.55/0.71 (store(a_1300, i4, e_1301) = store(store(a_1296, i1, e_1297), i4, select(a_1300, i5))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1648, 692])).
% 0.55/0.71 tff(1665,plain,
% 0.55/0.71 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.55/0.71 inference(transitivity,[status(thm)],[1664, 1663])).
% 0.55/0.71 tff(1666,plain,
% 0.55/0.71 (store(store(a_1300, i4, e_1301), i1, select(a_1307, i1)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1665, 1653])).
% 0.55/0.71 tff(1667,plain,
% 0.55/0.71 (select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i5) = select(a_1307, i1)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1652])).
% 0.55/0.71 tff(1668,plain,
% 0.55/0.71 (select(a_1300, i4) = select(store(store(a_1300, i4, e_1301), i5, select(a_1300, i4)), i5)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1651])).
% 0.55/0.71 tff(1669,plain,
% 0.55/0.71 (e_1303 = select(a_1307, i1)),
% 0.55/0.71 inference(transitivity,[status(thm)],[190, 1668, 1667])).
% 0.55/0.71 tff(1670,plain,
% 0.55/0.71 (store(a_1302, i5, e_1303) = store(store(a_1300, i4, e_1301), i1, select(a_1307, i1))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[688, 1564, 1669])).
% 0.55/0.71 tff(1671,plain,
% 0.55/0.71 (a_1307 = a_1270),
% 0.55/0.71 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 1670, 1666, 1570, 116, 113, 96, 109, 99, 84])).
% 0.55/0.71 tff(1672,plain,
% 0.55/0.71 (select(a_1307, i2) = select(a_1270, i2)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1671])).
% 0.55/0.71 tff(1673,plain,
% 0.55/0.71 (e_1310 = select(a_1270, i2)),
% 0.55/0.71 inference(transitivity,[status(thm)],[79, 1672])).
% 0.55/0.71 tff(1674,plain,
% 0.55/0.71 (select(store(a_1296, i1, e_1297), i4) = select(a_1300, i4)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1649])).
% 0.55/0.71 tff(1675,plain,
% 0.55/0.71 (select(a_1263, i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1634])).
% 0.55/0.71 tff(1676,plain,
% 0.55/0.71 (select(a_1270, i1) = e_1308),
% 0.55/0.71 inference(transitivity,[status(thm)],[1566, 321, 1675, 1674, 1668, 1667, 388])).
% 0.55/0.71 tff(1677,plain,
% 0.55/0.71 (store(store(a_1300, i4, e_1301), i1, select(a_1307, i1)) = store(a_1302, i5, e_1303)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1670])).
% 0.55/0.71 tff(1678,plain,
% 0.55/0.71 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i1)) = store(store(a_1300, i4, e_1301), i1, select(a_1307, i1))),
% 0.55/0.71 inference(symmetry,[status(thm)],[1666])).
% 0.55/0.71 tff(1679,plain,
% 0.55/0.71 (store(a_1265, i5, e_1266) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.71 inference(symmetry,[status(thm)],[1570])).
% 0.55/0.71 tff(1680,plain,
% 0.55/0.71 (store(a_1269, i0, e_1268) = a_1307),
% 0.55/0.71 inference(transitivity,[status(thm)],[1261, 108, 97, 1260, 115, 1679, 1678, 1677, 187, 1258, 1236, 180, 1257, 162])).
% 0.55/0.71 tff(1681,plain,
% 0.55/0.71 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1680, 1676])).
% 0.55/0.71 tff(1682,plain,
% 0.55/0.71 (store(a_1307, i2, e_1308) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.71 inference(symmetry,[status(thm)],[1681])).
% 0.55/0.71 tff(1683,plain,
% 0.55/0.71 (a_1309 = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.71 inference(transitivity,[status(thm)],[383, 1682])).
% 0.55/0.71 tff(1684,plain,
% 0.55/0.71 (store(a_1309, i1, e_1310) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1683, 1673])).
% 0.55/0.71 tff(1685,plain,
% 0.55/0.71 (a_1311 = a_1274),
% 0.55/0.71 inference(transitivity,[status(thm)],[75, 1684, 319, 278, 154])).
% 0.55/0.71 tff(1686,plain,
% 0.55/0.71 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1685])).
% 0.55/0.71 tff(1687,plain,
% 0.55/0.71 (e_1314 = e_1277),
% 0.55/0.71 inference(transitivity,[status(thm)],[71, 1686, 150])).
% 0.55/0.71 tff(1688,plain,
% 0.55/0.71 (store(a_1274, i3, e_1275) = a_1276),
% 0.55/0.71 inference(symmetry,[status(thm)],[758])).
% 0.55/0.71 tff(1689,plain,
% 0.55/0.71 (select(a_1274, i0) = e_1275),
% 0.55/0.71 inference(symmetry,[status(thm)],[753])).
% 0.55/0.71 tff(1690,plain,
% 0.55/0.71 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1685])).
% 0.55/0.71 tff(1691,plain,
% 0.55/0.71 (e_1312 = e_1275),
% 0.55/0.71 inference(transitivity,[status(thm)],[748, 1690, 1689])).
% 0.55/0.71 tff(1692,plain,
% 0.55/0.71 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1685, 1691])).
% 0.55/0.71 tff(1693,plain,
% 0.55/0.71 (a_1313 = a_1276),
% 0.55/0.71 inference(transitivity,[status(thm)],[744, 1692, 1688])).
% 0.55/0.71 tff(1694,plain,
% 0.55/0.71 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1693, 1687])).
% 0.55/0.71 tff(1695,plain,
% 0.55/0.71 (a_1315 = a_1278),
% 0.55/0.71 inference(transitivity,[status(thm)],[44, 1694, 146])).
% 0.55/0.71 tff(1696,plain,
% 0.55/0.71 (select(a_1315, i9) = select(a_1278, i9)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1695])).
% 0.55/0.71 tff(1697,plain,
% 0.55/0.71 (select(a_1278, i9) = select(a_1315, i9)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1696])).
% 0.55/0.71 tff(1698,plain,
% 0.55/0.71 ((store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.55/0.71 inference(commutativity,[status(thm)],[])).
% 0.55/0.71 tff(1699,plain,
% 0.55/0.71 ((store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.71 inference(symmetry,[status(thm)],[1698])).
% 0.55/0.71 tff(1700,plain,
% 0.55/0.71 (select(a_1315, i5) = select(a_1278, i5)),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1695])).
% 0.55/0.71 tff(1701,plain,
% 0.55/0.71 (select(a_1278, i5) = select(a_1315, i5)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1700])).
% 0.55/0.71 tff(1702,plain,
% 0.55/0.71 (select(a_1278, i5) = e_1318),
% 0.55/0.71 inference(transitivity,[status(thm)],[1701, 54])).
% 0.55/0.71 tff(1703,plain,
% 0.55/0.71 (e_1316 = select(a_1278, i9)),
% 0.55/0.71 inference(transitivity,[status(thm)],[50, 1696])).
% 0.55/0.71 tff(1704,plain,
% 0.55/0.71 (a_1315 = store(a_1276, i0, e_1277)),
% 0.55/0.71 inference(transitivity,[status(thm)],[44, 1694])).
% 0.55/0.71 tff(1705,plain,
% 0.55/0.71 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[1704, 1703])).
% 0.55/0.71 tff(1706,plain,
% 0.55/0.71 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(a_1315, i5, e_1316)),
% 0.55/0.71 inference(symmetry,[status(thm)],[1705])).
% 0.55/0.72 tff(1707,plain,
% 0.55/0.72 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = a_1317),
% 0.55/0.72 inference(transitivity,[status(thm)],[1706, 58])).
% 0.55/0.72 tff(1708,plain,
% 0.55/0.72 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1707, 1702])).
% 0.55/0.72 tff(1709,plain,
% 0.55/0.72 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1708])).
% 0.55/0.72 tff(1710,plain,
% 0.55/0.72 (a_1319 = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.72 inference(transitivity,[status(thm)],[35, 1709])).
% 0.55/0.72 tff(1711,plain,
% 0.55/0.72 (store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)) = a_1280),
% 0.55/0.72 inference(transitivity,[status(thm)],[802, 768])).
% 0.55/0.72 tff(1712,plain,
% 0.55/0.72 (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(a_1280, i5, e_1281)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1711, 68])).
% 0.55/0.72 tff(1713,plain,
% 0.55/0.72 (store(a_1280, i5, e_1281) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1712])).
% 0.55/0.72 tff(1714,plain,
% 0.55/0.72 (a_1282 = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))),
% 0.55/0.72 inference(transitivity,[status(thm)],[782, 1713])).
% 0.55/0.72 tff(1715,plain,
% 0.55/0.72 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1714, 1710])).
% 0.55/0.72 tff(1716,plain,
% 0.55/0.72 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.55/0.72 inference(transitivity,[status(thm)],[1715, 1698])).
% 0.55/0.72 tff(1717,plain,
% 0.55/0.72 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.72 inference(transitivity,[status(thm)],[1716, 1699])).
% 0.55/0.72 tff(1718,plain,
% 0.55/0.72 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1717])).
% 0.55/0.72 tff(1719,plain,
% 0.55/0.72 (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[789, 1718])).
% 0.55/0.72 tff(1720,plain,
% 0.55/0.72 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i9 = i5) | (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i9 = i5) | (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(1721,plain,
% 0.55/0.72 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i9 = i5) | (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(1722,plain,
% 0.55/0.72 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i9 = i5) | (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[1721, 1720])).
% 0.55/0.72 tff(1723,plain,
% 0.55/0.72 (i9 = i5),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1722, 222, 1719])).
% 0.55/0.72 tff(1724,plain,
% 0.55/0.72 (select(a_1278, i9) = select(a_1278, i5)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1723])).
% 0.55/0.72 tff(1725,plain,
% 0.55/0.72 (select(a_1278, i5) = select(a_1278, i9)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1724])).
% 0.55/0.72 tff(1726,plain,
% 0.55/0.72 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.55/0.72 inference(transitivity,[status(thm)],[39, 1700, 1725, 1697, 142, 133])).
% 0.55/0.72 tff(1727,plain,
% 0.55/0.72 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[57, 1723, 1726])).
% 0.55/0.72 tff(1728,plain,
% 0.55/0.72 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1727])).
% 0.55/0.72 tff(1729,plain,
% 0.55/0.72 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[145, 1723, 1475])).
% 0.55/0.72 tff(1730,plain,
% 0.55/0.72 (a_1280 = store(a_1276, i0, e_1277)),
% 0.55/0.72 inference(transitivity,[status(thm)],[767, 1729, 1472])).
% 0.55/0.72 tff(1731,plain,
% 0.55/0.72 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1730, 67])).
% 0.55/0.72 tff(1732,plain,
% 0.55/0.72 (a_1282 = a_1319),
% 0.55/0.72 inference(transitivity,[status(thm)],[782, 1731, 1706, 1048, 1728, 36])).
% 0.55/0.72 tff(1733,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[789, 1732])).
% 0.55/0.72 tff(1734,plain,((i8 = i4) | (i8 = i5)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(1735,plain,
% 0.55/0.72 (i8 = i4),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1734, 252])).
% 0.55/0.72 tff(1736,plain,
% 0.55/0.72 (store(a_1245, i7, e_1246) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.55/0.72 inference(symmetry,[status(thm)],[521])).
% 0.55/0.72 tff(1737,assumption,(~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))), introduced(assumption)).
% 0.55/0.72 tff(1738,plain,
% 0.55/0.72 (i8 = i7),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[821, 1737])).
% 0.55/0.72 tff(1739,plain,
% 0.55/0.72 (select(a1, i8) = select(a1, i7)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1738])).
% 0.55/0.72 tff(1740,plain,
% 0.55/0.72 (e_1246 = select(store(a1, i8, e_1244), i8)),
% 0.55/0.72 inference(transitivity,[status(thm)],[509, 1739, 587, 584])).
% 0.55/0.72 tff(1741,plain,
% 0.55/0.72 (i7 = i8),
% 0.55/0.72 inference(symmetry,[status(thm)],[1738])).
% 0.55/0.72 tff(1742,plain,
% 0.55/0.72 (store(a_1245, i7, e_1246) = store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[513, 1741, 1740])).
% 0.55/0.72 tff(1743,plain,
% 0.55/0.72 (store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8)) = store(a_1245, i7, e_1246)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1742])).
% 0.55/0.72 tff(1744,plain,
% 0.55/0.72 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8)) = store(a1, i8, e_1244))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(1745,plain,
% 0.55/0.72 (store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8)) = store(a1, i8, e_1244)),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1744, 27])).
% 0.55/0.72 tff(1746,plain,
% 0.55/0.72 (store(a1, i8, e_1244) = store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1745])).
% 0.55/0.72 tff(1747,plain,
% 0.55/0.72 (store(a1, i8, select(a1, i8)) = store(a1, i7, e_1246)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1738, 510])).
% 0.55/0.72 tff(1748,plain,
% 0.55/0.72 (store(a1, i7, e_1246) = store(a1, i8, select(a1, i8))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1747])).
% 0.55/0.72 tff(1749,plain,
% 0.55/0.72 (a_1283 = a1),
% 0.55/0.72 inference(transitivity,[status(thm)],[559, 1748, 543])).
% 0.55/0.72 tff(1750,plain,
% 0.55/0.72 (store(a_1283, i8, e_1244) = store(a1, i8, e_1244)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1749])).
% 0.55/0.72 tff(1751,plain,
% 0.55/0.72 (store(a1, i7, select(a1, i8)) = a_1283),
% 0.55/0.72 inference(transitivity,[status(thm)],[547, 607])).
% 0.55/0.72 tff(1752,plain,
% 0.55/0.72 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(a_1283, i8, e_1244)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1751, 518])).
% 0.55/0.72 tff(1753,plain,
% 0.55/0.72 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.55/0.72 inference(transitivity,[status(thm)],[1752, 1750, 1746, 1743, 1736])).
% 0.55/0.72 tff(1754,plain,
% 0.55/0.72 ((store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))) <=> (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)))),
% 0.55/0.72 inference(commutativity,[status(thm)],[])).
% 0.55/0.72 tff(1755,plain,
% 0.55/0.72 ((~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) <=> (~(store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1754])).
% 0.55/0.72 tff(1756,plain,
% 0.55/0.72 (~(store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[1737, 1755])).
% 0.55/0.72 tff(1757,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1756, 1753])).
% 0.55/0.72 tff(1758,plain,(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(1759,assumption,(i8 = i4), introduced(assumption)).
% 0.55/0.72 tff(1760,plain,
% 0.55/0.72 (i4 = i8),
% 0.55/0.72 inference(symmetry,[status(thm)],[1759])).
% 0.55/0.72 tff(1761,assumption,(store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))), introduced(assumption)).
% 0.55/0.72 tff(1762,plain,
% 0.55/0.72 (a_1255 = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))),
% 0.55/0.72 inference(transitivity,[status(thm)],[491, 20, 1761])).
% 0.55/0.72 tff(1763,plain,
% 0.55/0.72 (select(a_1255, i4) = select(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)), i8)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1762, 1760])).
% 0.55/0.72 tff(1764,plain,
% 0.55/0.72 (select(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)), i8) = select(a_1255, i4)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1763])).
% 0.55/0.72 tff(1765,plain,
% 0.55/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)), i8) = select(a_1251, i5))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(1766,plain,
% 0.55/0.72 (select(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)), i8) = select(a_1251, i5)),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1765, 139])).
% 0.55/0.72 tff(1767,plain,
% 0.55/0.72 (select(a_1251, i5) = select(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)), i8)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1766])).
% 0.55/0.72 tff(1768,assumption,(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))), introduced(assumption)).
% 0.55/0.72 tff(1769,plain,
% 0.55/0.72 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1768])).
% 0.55/0.72 tff(1770,plain,
% 0.55/0.72 (a_1284 = a_1247),
% 0.55/0.72 inference(transitivity,[status(thm)],[563, 825, 1769, 521, 506])).
% 0.55/0.72 tff(1771,plain,
% 0.55/0.72 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1770, 830])).
% 0.55/0.72 tff(1772,plain,
% 0.55/0.72 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1771])).
% 0.55/0.72 tff(1773,plain,
% 0.55/0.72 (select(store(a_1247, i6, e_1248), i5) = select(store(a_1284, i6, e_1285), i5)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1772])).
% 0.55/0.72 tff(1774,plain,
% 0.55/0.72 (select(store(a_1284, i6, e_1285), i5) = select(store(a_1247, i6, e_1248), i5)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1773])).
% 0.55/0.72 tff(1775,plain,
% 0.55/0.72 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i8) = select(a_1288, i5))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(1776,plain,
% 0.55/0.72 (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i8) = select(a_1288, i5)),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[1775, 139])).
% 0.55/0.72 tff(1777,plain,
% 0.55/0.72 (store(a_1290, i8, e_1291) = store(store(a_1288, i5, e_1289), i8, select(a_1288, i5))),
% 0.55/0.72 inference(symmetry,[status(thm)],[244])).
% 0.55/0.72 tff(1778,plain,
% 0.55/0.72 (a_1292 = store(store(a_1288, i5, e_1289), i8, select(a_1288, i5))),
% 0.55/0.72 inference(transitivity,[status(thm)],[234, 1777])).
% 0.55/0.72 tff(1779,plain,
% 0.55/0.72 (select(a_1292, i4) = select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i8)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1778, 1760])).
% 0.55/0.72 tff(1780,plain,
% 0.55/0.72 (e_1295 = e_1258),
% 0.55/0.72 inference(transitivity,[status(thm)],[230, 1779, 1776, 650, 528, 1774, 646, 645, 1767, 1764, 462])).
% 0.55/0.72 tff(1781,plain,
% 0.55/0.72 (select(a_1288, i5) = select(a_1251, i5)),
% 0.55/0.72 inference(transitivity,[status(thm)],[650, 528, 1774, 646, 645])).
% 0.55/0.72 tff(1782,plain,
% 0.55/0.72 (select(a_1284, i6) = select(a_1247, i6)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1770])).
% 0.55/0.72 tff(1783,plain,
% 0.55/0.72 (select(a_1247, i6) = select(a_1284, i6)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1782])).
% 0.55/0.72 tff(1784,plain,
% 0.55/0.72 (select(a_1247, i6) = select(a_1288, i8)),
% 0.55/0.72 inference(transitivity,[status(thm)],[1783, 502, 499])).
% 0.55/0.72 tff(1785,plain,
% 0.55/0.72 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1772, 1784])).
% 0.55/0.72 tff(1786,plain,
% 0.55/0.72 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.55/0.72 inference(symmetry,[status(thm)],[1785])).
% 0.55/0.72 tff(1787,plain,
% 0.55/0.72 (store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1288, i5)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1786, 1781])).
% 0.55/0.72 tff(1788,plain,
% 0.55/0.72 (store(a_1288, i5, e_1289) = store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[497, 326])).
% 0.55/0.72 tff(1789,plain,
% 0.55/0.72 (a_1290 = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))),
% 0.55/0.72 inference(transitivity,[status(thm)],[242, 1788, 530])).
% 0.55/0.72 tff(1790,plain,
% 0.55/0.72 (store(a_1290, i8, e_1291) = store(store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6)), i8, select(a_1288, i5))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1789, 238])).
% 0.55/0.72 tff(1791,plain,
% 0.55/0.72 (a_1292 = a_1255),
% 0.55/0.72 inference(transitivity,[status(thm)],[234, 1790, 323, 1787, 643, 1153, 642])).
% 0.55/0.72 tff(1792,plain,
% 0.55/0.72 (select(a_1292, i9) = select(a_1255, i9)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1791])).
% 0.55/0.72 tff(1793,plain,
% 0.55/0.72 (e_1293 = e_1256),
% 0.55/0.72 inference(transitivity,[status(thm)],[660, 1792, 641])).
% 0.55/0.72 tff(1794,plain,
% 0.55/0.72 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1791, 1793])).
% 0.55/0.72 tff(1795,plain,
% 0.55/0.72 (a_1294 = a_1257),
% 0.55/0.72 inference(transitivity,[status(thm)],[665, 1794, 637])).
% 0.55/0.72 tff(1796,plain,
% 0.55/0.72 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1795, 1780])).
% 0.55/0.72 tff(1797,plain,
% 0.55/0.72 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.55/0.72 inference(symmetry,[status(thm)],[1796])).
% 0.55/0.72 tff(1798,plain,
% 0.55/0.72 (a_1259 = a_1296),
% 0.55/0.72 inference(transitivity,[status(thm)],[123, 1797, 211])).
% 0.55/0.72 tff(1799,plain,
% 0.55/0.72 (select(a_1259, i1) = select(a_1296, i1)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1798])).
% 0.55/0.72 tff(1800,plain,
% 0.55/0.72 (select(a_1259, i1) = e_1299),
% 0.55/0.72 inference(transitivity,[status(thm)],[1799, 199])).
% 0.55/0.72 tff(1801,plain,
% 0.55/0.72 (a_1296 = a_1259),
% 0.55/0.72 inference(transitivity,[status(thm)],[210, 1796, 124])).
% 0.55/0.72 tff(1802,plain,
% 0.55/0.72 (select(a_1296, i7) = select(a_1259, i7)),
% 0.55/0.72 inference(monotonicity,[status(thm)],[1801])).
% 0.55/0.72 tff(1803,plain,
% 0.55/0.72 (select(a_1259, i7) = select(a_1296, i7)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1802])).
% 0.55/0.73 tff(1804,plain,
% 0.55/0.73 (select(a_1259, i7) = e_1297),
% 0.55/0.73 inference(transitivity,[status(thm)],[1803, 207])).
% 0.55/0.73 tff(1805,plain,
% 0.55/0.73 (store(a_1257, i9, e_1258) = a_1296),
% 0.55/0.73 inference(transitivity,[status(thm)],[1797, 211])).
% 0.55/0.73 tff(1806,plain,
% 0.55/0.73 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1805, 1804])).
% 0.55/0.73 tff(1807,plain,
% 0.55/0.73 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = a_1298),
% 0.55/0.73 inference(transitivity,[status(thm)],[1806, 203])).
% 0.55/0.73 tff(1808,plain,
% 0.55/0.73 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(a_1298, i7, e_1299)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1807, 1800])).
% 0.55/0.73 tff(1809,plain,
% 0.55/0.73 (a_1261 = store(store(a_1257, i9, e_1258), i7, select(a_1259, i1))),
% 0.55/0.73 inference(transitivity,[status(thm)],[452, 1572])).
% 0.55/0.73 tff(1810,plain,
% 0.55/0.73 (store(a_1261, i1, e_1262) = store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1809, 433])).
% 0.55/0.73 tff(1811,plain,
% 0.55/0.73 (a_1263 = a_1300),
% 0.55/0.73 inference(transitivity,[status(thm)],[448, 1810, 445, 1808, 195])).
% 0.55/0.73 tff(1812,plain,
% 0.55/0.73 (select(a_1263, i4) = select(a_1300, i4)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1811])).
% 0.55/0.73 tff(1813,plain,
% 0.55/0.73 (e_1266 = e_1303),
% 0.55/0.73 inference(transitivity,[status(thm)],[119, 1812, 191])).
% 0.55/0.73 tff(1814,plain,
% 0.55/0.73 (select(a_1263, i5) = select(a_1300, i5)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1811])).
% 0.55/0.73 tff(1815,plain,
% 0.55/0.73 (e_1264 = e_1301),
% 0.55/0.73 inference(transitivity,[status(thm)],[706, 1814, 693])).
% 0.55/0.73 tff(1816,plain,
% 0.55/0.73 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1811, 1815])).
% 0.55/0.73 tff(1817,plain,
% 0.55/0.73 (a_1265 = a_1302),
% 0.55/0.73 inference(transitivity,[status(thm)],[713, 1816, 689])).
% 0.55/0.73 tff(1818,plain,
% 0.55/0.73 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1817, 1813])).
% 0.55/0.73 tff(1819,plain,
% 0.55/0.73 (a_1270 = a_1307),
% 0.55/0.73 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1818, 187, 184, 174, 180, 177, 162])).
% 0.55/0.73 tff(1820,plain,
% 0.55/0.73 (select(a_1270, i1) = select(a_1307, i1)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1819])).
% 0.55/0.73 tff(1821,plain,
% 0.55/0.73 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1820])).
% 0.55/0.73 tff(1822,plain,
% 0.55/0.73 (select(a_1307, i1) = e_1273),
% 0.55/0.73 inference(transitivity,[status(thm)],[1821, 158])).
% 0.55/0.73 tff(1823,plain,
% 0.55/0.73 (select(a_1270, i2) = select(a_1307, i2)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1819])).
% 0.55/0.73 tff(1824,plain,
% 0.55/0.73 (select(a_1307, i2) = select(a_1270, i2)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1823])).
% 0.55/0.73 tff(1825,plain,
% 0.55/0.73 (select(a_1307, i2) = e_1271),
% 0.55/0.73 inference(transitivity,[status(thm)],[1824, 275])).
% 0.55/0.73 tff(1826,plain,
% 0.55/0.73 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1818])).
% 0.55/0.73 tff(1827,plain,
% 0.55/0.73 (store(a_1306, i0, e_1305) = a_1270),
% 0.55/0.73 inference(transitivity,[status(thm)],[733, 179, 175, 732, 186, 1826, 116, 730, 720, 109, 729, 84])).
% 0.55/0.73 tff(1828,plain,
% 0.55/0.73 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1270, i1, e_1271)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1827, 1825])).
% 0.55/0.73 tff(1829,plain,
% 0.55/0.73 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = a_1272),
% 0.55/0.73 inference(transitivity,[status(thm)],[1828, 271])).
% 0.55/0.73 tff(1830,plain,
% 0.55/0.73 (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(a_1272, i2, e_1273)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1829, 1822])).
% 0.55/0.73 tff(1831,plain,
% 0.55/0.73 (store(a_1307, i2, e_1308) = store(store(a_1306, i0, e_1305), i2, select(a_1307, i1))),
% 0.55/0.73 inference(symmetry,[status(thm)],[389])).
% 0.55/0.73 tff(1832,plain,
% 0.55/0.73 (a_1309 = store(store(a_1306, i0, e_1305), i2, select(a_1307, i1))),
% 0.55/0.73 inference(transitivity,[status(thm)],[383, 1831])).
% 0.55/0.73 tff(1833,plain,
% 0.55/0.73 (store(a_1309, i1, e_1310) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i1, select(a_1307, i2))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1832, 79])).
% 0.55/0.73 tff(1834,plain,
% 0.55/0.73 (a_1311 = a_1274),
% 0.55/0.73 inference(transitivity,[status(thm)],[75, 1833, 423, 1830, 154])).
% 0.55/0.73 tff(1835,plain,
% 0.55/0.73 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1834])).
% 0.55/0.73 tff(1836,plain,
% 0.55/0.73 (e_1314 = e_1277),
% 0.55/0.73 inference(transitivity,[status(thm)],[71, 1835, 150])).
% 0.55/0.73 tff(1837,plain,
% 0.55/0.73 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1834])).
% 0.55/0.73 tff(1838,plain,
% 0.55/0.73 (e_1312 = e_1275),
% 0.55/0.73 inference(transitivity,[status(thm)],[748, 1837, 1689])).
% 0.55/0.73 tff(1839,plain,
% 0.55/0.73 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1834, 1838])).
% 0.55/0.73 tff(1840,plain,
% 0.55/0.73 (a_1313 = a_1276),
% 0.55/0.73 inference(transitivity,[status(thm)],[744, 1839, 1688])).
% 0.55/0.73 tff(1841,plain,
% 0.55/0.73 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1840, 1836])).
% 0.55/0.73 tff(1842,plain,
% 0.55/0.73 (a_1315 = a_1278),
% 0.55/0.73 inference(transitivity,[status(thm)],[44, 1841, 146])).
% 0.55/0.73 tff(1843,plain,
% 0.55/0.73 (select(a_1315, i9) = select(a_1278, i9)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1842])).
% 0.55/0.73 tff(1844,plain,
% 0.55/0.73 (select(a_1278, i9) = select(a_1315, i9)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1843])).
% 0.55/0.73 tff(1845,plain,
% 0.55/0.73 (select(a_1315, i5) = select(a_1278, i5)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1842])).
% 0.55/0.73 tff(1846,plain,
% 0.55/0.73 (select(a_1278, i5) = select(a_1315, i5)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1845])).
% 0.55/0.73 tff(1847,plain,
% 0.55/0.73 (select(a_1278, i5) = e_1318),
% 0.55/0.73 inference(transitivity,[status(thm)],[1846, 54])).
% 0.55/0.73 tff(1848,plain,
% 0.55/0.73 (e_1316 = select(a_1278, i9)),
% 0.55/0.73 inference(transitivity,[status(thm)],[50, 1843])).
% 0.55/0.73 tff(1849,plain,
% 0.55/0.73 (a_1315 = store(a_1276, i0, e_1277)),
% 0.55/0.73 inference(transitivity,[status(thm)],[44, 1841])).
% 0.55/0.73 tff(1850,plain,
% 0.55/0.73 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1849, 1848])).
% 0.55/0.73 tff(1851,plain,
% 0.55/0.73 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(a_1315, i5, e_1316)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1850])).
% 0.55/0.73 tff(1852,plain,
% 0.55/0.73 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = a_1317),
% 0.55/0.73 inference(transitivity,[status(thm)],[1851, 58])).
% 0.55/0.73 tff(1853,plain,
% 0.55/0.73 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1852, 1847])).
% 0.55/0.73 tff(1854,plain,
% 0.55/0.73 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.73 inference(symmetry,[status(thm)],[1853])).
% 0.55/0.73 tff(1855,plain,
% 0.55/0.73 (a_1319 = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.73 inference(transitivity,[status(thm)],[35, 1854])).
% 0.55/0.73 tff(1856,plain,
% 0.55/0.73 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1714, 1855])).
% 0.55/0.73 tff(1857,plain,
% 0.55/0.73 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.55/0.73 inference(transitivity,[status(thm)],[1856, 1698])).
% 0.55/0.73 tff(1858,plain,
% 0.55/0.73 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.73 inference(transitivity,[status(thm)],[1857, 1699])).
% 0.55/0.73 tff(1859,plain,
% 0.55/0.73 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1858])).
% 0.55/0.73 tff(1860,plain,
% 0.55/0.73 (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[789, 1859])).
% 0.55/0.73 tff(1861,plain,
% 0.55/0.73 (i9 = i5),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1722, 222, 1860])).
% 0.55/0.73 tff(1862,plain,
% 0.55/0.73 (select(a_1278, i9) = select(a_1278, i5)),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1861])).
% 0.55/0.73 tff(1863,plain,
% 0.55/0.73 (select(a_1278, i5) = select(a_1278, i9)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1862])).
% 0.55/0.73 tff(1864,plain,
% 0.55/0.73 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.55/0.73 inference(transitivity,[status(thm)],[39, 1845, 1863, 1844, 142, 133])).
% 0.55/0.73 tff(1865,plain,
% 0.55/0.73 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[57, 1861, 1864])).
% 0.55/0.73 tff(1866,plain,
% 0.55/0.73 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.73 inference(symmetry,[status(thm)],[1865])).
% 0.55/0.73 tff(1867,plain,
% 0.55/0.73 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[145, 1861, 1475])).
% 0.55/0.73 tff(1868,plain,
% 0.55/0.73 (a_1280 = store(a_1276, i0, e_1277)),
% 0.55/0.73 inference(transitivity,[status(thm)],[767, 1867, 1472])).
% 0.55/0.73 tff(1869,plain,
% 0.55/0.73 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1868, 67])).
% 0.55/0.73 tff(1870,plain,
% 0.55/0.73 (a_1282 = a_1319),
% 0.55/0.73 inference(transitivity,[status(thm)],[782, 1869, 1851, 1048, 1866, 36])).
% 0.55/0.73 tff(1871,plain,
% 0.55/0.73 ($false),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[789, 1870])).
% 0.55/0.73 tff(1872,plain,((~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(i8 = i4)) | (~(store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.73 tff(1873,plain,
% 0.55/0.73 ((~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i5) = select(store(a_1247, i6, e_1248), i5))) | (~(select(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5) = select(store(a_1284, i6, e_1285), i5))) | (~(i8 = i4)) | (~(store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1247, i6, e_1248), i8, select(a_1251, i5)), i5, select(a_1247, i6)) = store(store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)), i8, select(a_1251, i5)))) | (~(store(store(store(a_1284, i6, e_1285), i8, select(a_1284, i6)), i5, select(a_1288, i8)) = store(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i8, select(a_1284, i6))))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1872, 1758])).
% 0.55/0.73 tff(1874,plain,
% 0.55/0.73 ($false),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1873, 439, 444, 445, 1735, 267, 262, 257])).
% 0.55/0.73 tff(1875,plain,((i8 = i5) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.73 tff(1876,plain,
% 0.55/0.73 (i8 = i5),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1875, 251])).
% 0.55/0.73 tff(1877,assumption,(i8 = i5), introduced(assumption)).
% 0.55/0.73 tff(1878,plain,
% 0.55/0.73 (((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i1) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)))) <=> ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i1) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(1879,plain,
% 0.55/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | ((i7 = i1) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)))),
% 0.55/0.73 inference(quant_inst,[status(thm)],[])).
% 0.55/0.73 tff(1880,plain,
% 0.55/0.73 ((~![I: $i, E: $i, A: $i, J: $i] : ((I = J) | (select(store(A, I, E), J) = select(A, J)))) | (i7 = i1) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 0.55/0.73 tff(1881,plain,
% 0.55/0.73 ((i7 = i1) | (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1880, 354])).
% 0.55/0.73 tff(1882,plain,
% 0.55/0.73 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1881, 215])).
% 0.55/0.73 tff(1883,plain,
% 0.55/0.73 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(1884,plain,
% 0.55/0.73 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i7 = i1) | (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))))),
% 0.55/0.73 inference(quant_inst,[status(thm)],[])).
% 0.55/0.73 tff(1885,plain,
% 0.55/0.73 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i7 = i1) | (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 0.55/0.73 tff(1886,plain,
% 0.55/0.73 ((i7 = i1) | (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1)))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1885, 222])).
% 0.55/0.73 tff(1887,plain,
% 0.55/0.73 (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[1886, 215])).
% 0.55/0.73 tff(1888,plain,
% 0.55/0.73 (a_1317 = store(store(a_1313, i0, e_1314), i5, select(a_1315, i9))),
% 0.55/0.73 inference(transitivity,[status(thm)],[57, 131])).
% 0.55/0.73 tff(1889,plain,
% 0.55/0.73 (store(a_1317, i9, e_1318) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[1888, 39])).
% 0.55/0.73 tff(1890,plain,
% 0.55/0.74 (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1889])).
% 0.55/0.74 tff(1891,plain,
% 0.55/0.74 ((i7 = i8) <=> (i7 = i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1877])).
% 0.55/0.74 tff(1892,plain,
% 0.55/0.74 ((i7 = i5) <=> (i7 = i8)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1891])).
% 0.55/0.74 tff(1893,plain,
% 0.55/0.74 ((~(i7 = i5)) <=> (~(i7 = i8))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1892])).
% 0.55/0.74 tff(1894,plain,
% 0.55/0.74 (~(i7 = i8)),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[522, 1893])).
% 0.55/0.74 tff(1895,plain,
% 0.55/0.74 (select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[592, 1894])).
% 0.55/0.74 tff(1896,plain,
% 0.55/0.74 ((i7 = i8) <=> (i8 = i7)),
% 0.55/0.74 inference(symmetry,[status(thm)],[934])).
% 0.55/0.74 tff(1897,plain,
% 0.55/0.74 ((i7 = i5) <=> (i8 = i7)),
% 0.55/0.74 inference(transitivity,[status(thm)],[1892, 1896])).
% 0.55/0.74 tff(1898,plain,
% 0.55/0.74 ((~(i7 = i5)) <=> (~(i8 = i7))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1897])).
% 0.55/0.74 tff(1899,plain,
% 0.55/0.74 (~(i8 = i7)),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[522, 1898])).
% 0.55/0.74 tff(1900,plain,
% 0.55/0.74 (store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[821, 1899])).
% 0.55/0.74 tff(1901,assumption,(~(i2 = i1)), introduced(assumption)).
% 0.55/0.74 tff(1902,plain,
% 0.55/0.74 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[290, 1901])).
% 0.55/0.74 tff(1903,plain,
% 0.55/0.74 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1261, i1, e_1262), i5, select(store(a_1261, i1, e_1262), i5)) = store(a_1261, i1, e_1262))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1904,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i5, select(store(a_1261, i1, e_1262), i5)) = store(a_1261, i1, e_1262)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1903, 27])).
% 0.55/0.74 tff(1905,plain,
% 0.55/0.74 (select(store(a_1261, i1, e_1262), i5) = select(a_1263, i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[449])).
% 0.55/0.74 tff(1906,plain,
% 0.55/0.74 (select(a_1263, i5) = select(store(a_1261, i1, e_1262), i5)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1905])).
% 0.55/0.74 tff(1907,plain,
% 0.55/0.74 (e_1264 = select(store(a_1261, i1, e_1262), i5)),
% 0.55/0.74 inference(transitivity,[status(thm)],[706, 1906])).
% 0.55/0.74 tff(1908,plain,
% 0.55/0.74 (i4 = i5),
% 0.55/0.74 inference(transitivity,[status(thm)],[1760, 1877])).
% 0.55/0.74 tff(1909,plain,
% 0.55/0.74 (store(a_1263, i4, e_1264) = store(store(a_1261, i1, e_1262), i5, select(store(a_1261, i1, e_1262), i5))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[448, 1908, 1907])).
% 0.55/0.74 tff(1910,plain,
% 0.55/0.74 (a_1265 = store(a_1261, i1, e_1262)),
% 0.55/0.74 inference(transitivity,[status(thm)],[713, 1909, 1904])).
% 0.55/0.74 tff(1911,plain,
% 0.55/0.74 (store(a_1265, i5, e_1266) = store(store(a_1261, i1, e_1262), i5, select(a_1263, i4))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1910, 119])).
% 0.55/0.74 tff(1912,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i5, select(a_1263, i4)) = store(a_1265, i5, e_1266)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1911])).
% 0.55/0.74 tff(1913,plain,
% 0.55/0.74 (select(store(a_1261, i1, e_1262), i4) = select(a_1263, i4)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[449])).
% 0.55/0.74 tff(1914,plain,
% 0.55/0.74 (select(a_1263, i4) = select(store(a_1261, i1, e_1262), i4)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1913])).
% 0.55/0.74 tff(1915,plain,
% 0.55/0.74 (i5 = i8),
% 0.55/0.74 inference(symmetry,[status(thm)],[1877])).
% 0.55/0.74 tff(1916,plain,
% 0.55/0.74 (i5 = i4),
% 0.55/0.74 inference(transitivity,[status(thm)],[1915, 1759])).
% 0.55/0.74 tff(1917,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i5, select(a_1263, i4)) = store(store(a_1261, i1, e_1262), i4, select(store(a_1261, i1, e_1262), i4))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1916, 1914])).
% 0.55/0.74 tff(1918,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i4, select(store(a_1261, i1, e_1262), i4)) = store(store(a_1261, i1, e_1262), i5, select(a_1263, i4))),
% 0.55/0.74 inference(symmetry,[status(thm)],[1917])).
% 0.55/0.74 tff(1919,plain,
% 0.55/0.74 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1261, i1, e_1262), i4, select(store(a_1261, i1, e_1262), i4)) = store(a_1261, i1, e_1262))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1920,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i4, select(store(a_1261, i1, e_1262), i4)) = store(a_1261, i1, e_1262)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1919, 27])).
% 0.55/0.74 tff(1921,plain,
% 0.55/0.74 (store(a_1261, i1, e_1262) = store(store(a_1261, i1, e_1262), i4, select(store(a_1261, i1, e_1262), i4))),
% 0.55/0.74 inference(symmetry,[status(thm)],[1920])).
% 0.55/0.74 tff(1922,plain,
% 0.55/0.74 (store(a_1263, i4, e_1264) = a_1270),
% 0.55/0.74 inference(transitivity,[status(thm)],[1909, 1904, 1921, 1918, 1912, 116, 730, 720, 109, 729, 84])).
% 0.55/0.74 tff(1923,plain,
% 0.55/0.74 (select(store(a_1263, i4, e_1264), i2) = select(a_1270, i2)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1922])).
% 0.55/0.74 tff(1924,plain,
% 0.55/0.74 (store(store(a_1261, i1, e_1262), i5, select(store(a_1261, i1, e_1262), i5)) = store(a_1263, i4, e_1264)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1909])).
% 0.55/0.74 tff(1925,plain,
% 0.55/0.74 (store(a_1261, i1, e_1262) = store(store(a_1261, i1, e_1262), i5, select(store(a_1261, i1, e_1262), i5))),
% 0.55/0.74 inference(symmetry,[status(thm)],[1904])).
% 0.55/0.74 tff(1926,assumption,(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)), introduced(assumption)).
% 0.55/0.74 tff(1927,plain,
% 0.55/0.74 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(1928,plain,
% 0.55/0.74 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i2 = i1) | (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1929,plain,
% 0.55/0.74 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i2 = i1) | (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 0.55/0.74 tff(1930,plain,
% 0.55/0.74 ((i2 = i1) | (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1)))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1929, 222])).
% 0.55/0.74 tff(1931,plain,
% 0.55/0.74 (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1930, 1901])).
% 0.55/0.74 tff(1932,assumption,(i5 = i9), introduced(assumption)).
% 0.55/0.74 tff(1933,plain,
% 0.55/0.74 (i9 = i5),
% 0.55/0.74 inference(symmetry,[status(thm)],[1932])).
% 0.55/0.74 tff(1934,plain,
% 0.55/0.74 (select(a_1315, i9) = select(a_1315, i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1933])).
% 0.55/0.74 tff(1935,plain,
% 0.55/0.74 (select(a_1315, i5) = select(a_1315, i9)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1934])).
% 0.55/0.74 tff(1936,plain,
% 0.55/0.74 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.55/0.74 inference(transitivity,[status(thm)],[39, 1935, 142, 133])).
% 0.55/0.74 tff(1937,plain,
% 0.55/0.74 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[57, 1933, 1936])).
% 0.55/0.74 tff(1938,plain,
% 0.55/0.74 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1937])).
% 0.55/0.74 tff(1939,plain,
% 0.55/0.74 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[44, 1932, 51])).
% 0.55/0.74 tff(1940,plain,
% 0.55/0.74 (store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9)) = store(a_1315, i5, e_1316)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1939])).
% 0.55/0.74 tff(1941,plain,
% 0.55/0.74 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i2)) = store(a_1270, i1, e_1271)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1922, 275])).
% 0.55/0.74 tff(1942,plain,
% 0.55/0.74 (store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)) = a_1270),
% 0.55/0.74 inference(transitivity,[status(thm)],[1654, 1921, 1918, 1912, 116, 730, 720, 109, 729, 84])).
% 0.55/0.74 tff(1943,plain,
% 0.55/0.74 (select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1) = select(a_1270, i1)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1942])).
% 0.55/0.74 tff(1944,plain,
% 0.55/0.74 (select(a_1270, i1) = select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1943])).
% 0.55/0.74 tff(1945,plain,
% 0.55/0.74 (select(a_1270, i1) = e_1262),
% 0.55/0.74 inference(transitivity,[status(thm)],[1944, 1660, 434])).
% 0.55/0.74 tff(1946,plain,
% 0.55/0.74 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)) = store(a_1261, i1, e_1262)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[453, 1945])).
% 0.55/0.74 tff(1947,plain,
% 0.55/0.74 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)) = store(a_1263, i4, e_1264)),
% 0.55/0.74 inference(transitivity,[status(thm)],[1946, 1925, 1924])).
% 0.55/0.74 tff(1948,plain,
% 0.55/0.74 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i2))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1947])).
% 0.55/0.74 tff(1949,plain,
% 0.55/0.74 ((~![I: $i, E: $i, A: $i, F: $i] : (store(store(A, I, E), I, F) = store(A, I, F))) | (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1950,plain,
% 0.55/0.74 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1259, i7, e_1260), i1, select(a_1270, i2))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1949, 106])).
% 0.55/0.74 tff(1951,plain,
% 0.55/0.74 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.74 inference(symmetry,[status(thm)],[1950])).
% 0.55/0.74 tff(1952,plain,
% 0.55/0.74 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)) = a_1272),
% 0.55/0.74 inference(transitivity,[status(thm)],[1951, 1948, 1941, 271])).
% 0.55/0.74 tff(1953,plain,
% 0.55/0.74 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1)) = store(a_1272, i2, e_1273)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1952, 158])).
% 0.55/0.74 tff(1954,assumption,(store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))), introduced(assumption)).
% 0.55/0.74 tff(1955,plain,
% 0.55/0.74 (store(a_1251, i8, e_1252) = store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[15, 1877, 32])).
% 0.55/0.74 tff(1956,plain,
% 0.55/0.74 (store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5)) = store(a_1251, i8, e_1252)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1955])).
% 0.55/0.74 tff(1957,plain,
% 0.55/0.74 (store(a_1249, i8, e_1250) = store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5))),
% 0.55/0.74 inference(symmetry,[status(thm)],[29])).
% 0.55/0.74 tff(1958,plain,
% 0.55/0.74 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8)) = store(a_1249, i8, e_1250))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1959,plain,
% 0.55/0.74 (store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8)) = store(a_1249, i8, e_1250)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1958, 27])).
% 0.55/0.74 tff(1960,plain,
% 0.55/0.74 (select(store(a_1249, i8, e_1250), i8) = select(a_1251, i8)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[16])).
% 0.55/0.74 tff(1961,plain,
% 0.55/0.74 (select(a_1251, i8) = select(store(a_1249, i8, e_1250), i8)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1960])).
% 0.55/0.74 tff(1962,plain,
% 0.55/0.74 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1915, 1961])).
% 0.55/0.74 tff(1963,plain,
% 0.55/0.74 (a_1253 = store(a_1249, i8, e_1250)),
% 0.55/0.74 inference(transitivity,[status(thm)],[7, 1955, 29])).
% 0.55/0.74 tff(1964,plain,
% 0.55/0.74 (store(a_1253, i5, e_1254) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1963, 3])).
% 0.55/0.74 tff(1965,plain,
% 0.55/0.74 (a_1255 = store(a_1251, i8, e_1252)),
% 0.55/0.74 inference(transitivity,[status(thm)],[491, 1964, 1962, 1959, 1957, 1956])).
% 0.55/0.74 tff(1966,plain,
% 0.55/0.74 (select(a_1255, i4) = select(store(a_1251, i8, e_1252), i4)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1965])).
% 0.55/0.74 tff(1967,plain,
% 0.55/0.74 (select(store(a_1251, i8, e_1252), i4) = select(a_1255, i4)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1966])).
% 0.55/0.74 tff(1968,plain,
% 0.55/0.74 (store(a_1251, i8, e_1252) = a_1251),
% 0.55/0.74 inference(transitivity,[status(thm)],[1955, 29, 16])).
% 0.55/0.74 tff(1969,plain,
% 0.55/0.74 (select(store(a_1251, i8, e_1252), i4) = select(a_1251, i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1968, 1908])).
% 0.55/0.74 tff(1970,plain,
% 0.55/0.74 (select(a_1251, i5) = select(store(a_1251, i8, e_1252), i4)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1969])).
% 0.55/0.74 tff(1971,plain,
% 0.55/0.74 (select(a_1251, i5) = select(a_1251, i8)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1915])).
% 0.55/0.74 tff(1972,plain,
% 0.55/0.74 (select(a_1251, i8) = select(a_1251, i5)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1971])).
% 0.55/0.74 tff(1973,plain,
% 0.55/0.74 (select(a_1288, i5) = select(a_1288, i8)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1915])).
% 0.55/0.74 tff(1974,plain,
% 0.55/0.74 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1286, i8, e_1287), i8, select(store(a_1286, i8, e_1287), i8)) = store(a_1286, i8, e_1287))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1975,plain,
% 0.55/0.74 (store(store(a_1286, i8, e_1287), i8, select(store(a_1286, i8, e_1287), i8)) = store(a_1286, i8, e_1287)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1974, 27])).
% 0.55/0.74 tff(1976,plain,
% 0.55/0.74 (select(store(a_1286, i8, e_1287), i8) = select(a_1288, i8)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[331])).
% 0.55/0.74 tff(1977,plain,
% 0.55/0.74 (select(a_1288, i8) = select(store(a_1286, i8, e_1287), i8)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1976])).
% 0.55/0.74 tff(1978,plain,
% 0.55/0.74 (e_1289 = select(store(a_1286, i8, e_1287), i8)),
% 0.55/0.74 inference(transitivity,[status(thm)],[326, 1977])).
% 0.55/0.74 tff(1979,plain,
% 0.55/0.74 (store(a_1288, i5, e_1289) = store(store(a_1286, i8, e_1287), i8, select(store(a_1286, i8, e_1287), i8))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[330, 1915, 1978])).
% 0.55/0.74 tff(1980,plain,
% 0.55/0.74 (store(a_1288, i5, e_1289) = a_1288),
% 0.55/0.74 inference(transitivity,[status(thm)],[1979, 1975, 331])).
% 0.55/0.74 tff(1981,plain,
% 0.55/0.74 (select(store(a_1288, i5, e_1289), i4) = select(a_1288, i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1980, 1908])).
% 0.55/0.74 tff(1982,plain,
% 0.55/0.74 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5)) = store(a_1288, i5, e_1289))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1983,plain,
% 0.55/0.74 (store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5)) = store(a_1288, i5, e_1289)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1982, 27])).
% 0.55/0.74 tff(1984,plain,
% 0.55/0.74 (store(a_1288, i5, e_1289) = store(store(a_1286, i8, e_1287), i5, select(a_1288, i8))),
% 0.55/0.74 inference(symmetry,[status(thm)],[1178])).
% 0.55/0.74 tff(1985,plain,
% 0.55/0.74 (select(store(a_1288, i5, e_1289), i5) = select(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i5)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1984])).
% 0.55/0.74 tff(1986,plain,
% 0.55/0.74 (select(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i5) = select(store(a_1288, i5, e_1289), i5)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1985])).
% 0.55/0.74 tff(1987,plain,
% 0.55/0.74 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i5) = select(a_1288, i8))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(1988,plain,
% 0.55/0.74 (select(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i5) = select(a_1288, i8)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[1987, 139])).
% 0.55/0.74 tff(1989,plain,
% 0.55/0.74 (select(a_1288, i8) = select(store(store(a_1286, i8, e_1287), i5, select(a_1288, i8)), i5)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1988])).
% 0.55/0.74 tff(1990,plain,
% 0.55/0.74 (e_1291 = select(store(a_1288, i5, e_1289), i5)),
% 0.55/0.74 inference(transitivity,[status(thm)],[238, 1973, 1989, 1986])).
% 0.55/0.74 tff(1991,plain,
% 0.55/0.74 (store(a_1290, i8, e_1291) = store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[242, 1877, 1990])).
% 0.55/0.74 tff(1992,plain,
% 0.55/0.74 (a_1292 = store(a_1288, i5, e_1289)),
% 0.55/0.74 inference(transitivity,[status(thm)],[234, 1991, 1983])).
% 0.55/0.74 tff(1993,plain,
% 0.55/0.74 (select(a_1292, i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1992])).
% 0.55/0.74 tff(1994,plain,
% 0.55/0.74 (e_1295 = e_1258),
% 0.55/0.74 inference(transitivity,[status(thm)],[230, 1993, 1981, 1973, 498, 501, 1782, 479, 476, 1972, 1970, 1967, 462])).
% 0.55/0.74 tff(1995,plain,
% 0.55/0.74 (store(a_1255, i4, e_1256) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1965, 640])).
% 0.55/0.74 tff(1996,plain,
% 0.55/0.74 (store(store(a_1251, i8, e_1252), i4, select(a_1255, i9)) = store(a_1255, i4, e_1256)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1995])).
% 0.55/0.74 tff(1997,plain,
% 0.55/0.74 (select(a_1255, i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1965])).
% 0.55/0.74 tff(1998,plain,
% 0.55/0.74 (select(store(a_1251, i8, e_1252), i9) = select(a_1255, i9)),
% 0.55/0.74 inference(symmetry,[status(thm)],[1997])).
% 0.55/0.74 tff(1999,plain,
% 0.55/0.74 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(a_1249, i8, e_1250)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[471, 1915, 467])).
% 0.55/0.74 tff(2000,plain,
% 0.55/0.74 (select(a_1288, i8) = select(a_1247, i6)),
% 0.55/0.74 inference(transitivity,[status(thm)],[498, 501, 1782])).
% 0.55/0.74 tff(2001,plain,
% 0.55/0.74 (select(a_1284, i8) = e_1285),
% 0.55/0.74 inference(symmetry,[status(thm)],[614])).
% 0.55/0.74 tff(2002,plain,
% 0.55/0.74 (select(store(store(a1, i7, e_1246), i8, select(a1, i7)), i8) = select(a_1284, i8)),
% 0.55/0.74 inference(symmetry,[status(thm)],[611])).
% 0.55/0.74 tff(2003,plain,
% 0.55/0.74 (select(a1, i7) = select(store(store(a1, i7, e_1246), i8, select(a1, i7)), i8)),
% 0.55/0.74 inference(symmetry,[status(thm)],[606])).
% 0.55/0.74 tff(2004,plain,
% 0.55/0.74 (e_1248 = e_1285),
% 0.55/0.74 inference(transitivity,[status(thm)],[620, 580, 1926, 583, 586, 2003, 2002, 2001])).
% 0.55/0.74 tff(2005,plain,
% 0.55/0.74 (store(a_1283, i8, e_1244) = a_1284),
% 0.55/0.74 inference(symmetry,[status(thm)],[563])).
% 0.55/0.74 tff(2006,plain,
% 0.55/0.74 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(a_1283, i8, e_1244)),
% 0.55/0.74 inference(symmetry,[status(thm)],[825])).
% 0.55/0.74 tff(2007,plain,
% 0.55/0.74 (a_1247 = a_1284),
% 0.55/0.74 inference(transitivity,[status(thm)],[505, 1736, 1768, 2006, 2005])).
% 0.55/0.74 tff(2008,plain,
% 0.55/0.74 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[2007, 2004])).
% 0.55/0.74 tff(2009,plain,
% 0.55/0.74 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.55/0.74 inference(symmetry,[status(thm)],[2008])).
% 0.55/0.74 tff(2010,plain,
% 0.55/0.74 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[2009, 2000])).
% 0.55/0.74 tff(2011,plain,
% 0.55/0.74 (e_1287 = select(a_1288, i8)),
% 0.55/0.74 inference(transitivity,[status(thm)],[334, 502, 499])).
% 0.55/0.74 tff(2012,plain,
% 0.55/0.74 (store(a_1286, i8, e_1287) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[338, 1877, 2011])).
% 0.55/0.74 tff(2013,plain,
% 0.55/0.74 (store(a_1288, i5, e_1289) = store(a_1251, i8, e_1252)),
% 0.55/0.74 inference(transitivity,[status(thm)],[1979, 1975, 2012, 2010, 1999, 1957, 1956])).
% 0.55/0.74 tff(2014,plain,
% 0.55/0.74 (select(store(a_1288, i5, e_1289), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[2013])).
% 0.55/0.74 tff(2015,plain,
% 0.55/0.74 (select(a_1292, i9) = select(store(a_1288, i5, e_1289), i9)),
% 0.55/0.74 inference(monotonicity,[status(thm)],[1992])).
% 0.55/0.75 tff(2016,plain,
% 0.55/0.75 (select(a_1292, i9) = select(a_1255, i9)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2015, 2014, 1998])).
% 0.55/0.75 tff(2017,plain,
% 0.55/0.75 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2013, 2016])).
% 0.55/0.75 tff(2018,plain,
% 0.55/0.75 (store(a_1292, i4, e_1293) = store(store(a_1288, i5, e_1289), i4, select(a_1292, i9))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[1992, 660])).
% 0.55/0.75 tff(2019,plain,
% 0.55/0.75 (a_1294 = a_1257),
% 0.55/0.75 inference(transitivity,[status(thm)],[665, 2018, 2017, 1996, 637])).
% 0.55/0.75 tff(2020,plain,
% 0.55/0.75 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2019, 1994])).
% 0.55/0.75 tff(2021,plain,
% 0.55/0.75 (a_1296 = a_1259),
% 0.55/0.75 inference(transitivity,[status(thm)],[210, 2020, 124])).
% 0.55/0.75 tff(2022,plain,
% 0.55/0.75 (select(a_1296, i7) = select(a_1259, i7)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2021])).
% 0.55/0.75 tff(2023,plain,
% 0.55/0.75 (select(a_1259, i7) = select(a_1296, i7)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2022])).
% 0.55/0.75 tff(2024,plain,
% 0.55/0.75 (e_1262 = select(a_1296, i7)),
% 0.55/0.75 inference(transitivity,[status(thm)],[433, 2023])).
% 0.55/0.75 tff(2025,plain,
% 0.55/0.75 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(a_1292, i4, e_1293)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2018])).
% 0.55/0.75 tff(2026,plain,
% 0.55/0.75 (store(store(a_1251, i8, e_1252), i4, select(a_1255, i9)) = store(store(a_1288, i5, e_1289), i4, select(a_1292, i9))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2017])).
% 0.55/0.75 tff(2027,plain,
% 0.55/0.75 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1255, i4, e_1256), i4, select(store(a_1255, i4, e_1256), i4)) = store(a_1255, i4, e_1256))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(2028,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i4, select(store(a_1255, i4, e_1256), i4)) = store(a_1255, i4, e_1256)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2027, 27])).
% 0.55/0.75 tff(2029,plain,
% 0.55/0.75 (store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)) = store(a_1255, i4, e_1256)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[642, 641])).
% 0.55/0.75 tff(2030,plain,
% 0.55/0.75 (store(a_1255, i4, e_1256) = store(store(a_1253, i5, e_1254), i4, select(a_1255, i9))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2029])).
% 0.55/0.75 tff(2031,plain,
% 0.55/0.75 (select(store(a_1255, i4, e_1256), i4) = select(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i4)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2030])).
% 0.55/0.75 tff(2032,plain,
% 0.55/0.75 (select(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i4) = select(store(a_1255, i4, e_1256), i4)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2031])).
% 0.55/0.75 tff(2033,plain,
% 0.55/0.75 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i4) = select(a_1255, i9))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(2034,plain,
% 0.55/0.75 (select(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i4) = select(a_1255, i9)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2033, 139])).
% 0.55/0.75 tff(2035,plain,
% 0.55/0.75 (select(a_1255, i9) = select(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i4)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2034])).
% 0.55/0.75 tff(2036,plain,
% 0.55/0.75 (select(store(a_1251, i8, e_1252), i9) = select(a_1251, i5)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[1968, 1933])).
% 0.55/0.75 tff(2037,plain,
% 0.55/0.75 (select(a_1251, i5) = select(store(a_1251, i8, e_1252), i9)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2036])).
% 0.55/0.75 tff(2038,plain,
% 0.55/0.75 (select(a_1247, i6) = select(store(a_1255, i4, e_1256), i4)),
% 0.55/0.75 inference(transitivity,[status(thm)],[479, 476, 1972, 2037, 1998, 2035, 2032])).
% 0.55/0.75 tff(2039,plain,
% 0.55/0.75 (store(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i5, select(a_1247, i6)) = store(store(a_1255, i4, e_1256), i4, select(store(a_1255, i4, e_1256), i4))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2029, 1916, 2038])).
% 0.55/0.75 tff(2040,plain,
% 0.55/0.75 (e_1258 = select(a_1247, i6)),
% 0.55/0.75 inference(transitivity,[status(thm)],[461, 1966, 1969, 1971, 475, 478])).
% 0.55/0.75 tff(2041,plain,
% 0.55/0.75 (a_1257 = store(store(a_1253, i5, e_1254), i4, select(a_1255, i9))),
% 0.55/0.75 inference(transitivity,[status(thm)],[636, 2030])).
% 0.55/0.75 tff(2042,plain,
% 0.55/0.75 (store(a_1257, i9, e_1258) = store(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i5, select(a_1247, i6))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2041, 1933, 2040])).
% 0.55/0.75 tff(2043,plain,
% 0.55/0.75 (store(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i5, select(a_1247, i6)) = store(a_1257, i9, e_1258)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2042])).
% 0.55/0.75 tff(2044,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i4, select(store(a_1255, i4, e_1256), i4)) = store(store(store(a_1253, i5, e_1254), i4, select(a_1255, i9)), i5, select(a_1247, i6))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2039])).
% 0.55/0.75 tff(2045,plain,
% 0.55/0.75 (store(a_1255, i4, e_1256) = store(store(a_1255, i4, e_1256), i4, select(store(a_1255, i4, e_1256), i4))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2028])).
% 0.55/0.75 tff(2046,plain,
% 0.55/0.75 (store(a_1255, i4, e_1256) = store(a_1257, i9, e_1258)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2045, 2044, 2043])).
% 0.55/0.75 tff(2047,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i1, select(a_1259, i1)) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2046, 126])).
% 0.55/0.75 tff(2048,assumption,(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))), introduced(assumption)).
% 0.55/0.75 tff(2049,plain,
% 0.55/0.75 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7))),
% 0.55/0.75 inference(symmetry,[status(thm)],[251])).
% 0.55/0.75 tff(2050,plain,
% 0.55/0.75 (select(a_1296, i1) = select(a_1259, i1)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2021])).
% 0.55/0.75 tff(2051,plain,
% 0.55/0.75 (e_1299 = select(a_1259, i1)),
% 0.55/0.75 inference(transitivity,[status(thm)],[198, 2050])).
% 0.55/0.75 tff(2052,plain,
% 0.55/0.75 (select(a_1259, i7) = e_1297),
% 0.55/0.75 inference(transitivity,[status(thm)],[2023, 207])).
% 0.55/0.75 tff(2053,plain,
% 0.55/0.75 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2020])).
% 0.55/0.75 tff(2054,plain,
% 0.55/0.75 (store(a_1257, i9, e_1258) = a_1296),
% 0.55/0.75 inference(transitivity,[status(thm)],[2053, 211])).
% 0.55/0.75 tff(2055,plain,
% 0.55/0.75 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2054, 2052])).
% 0.55/0.75 tff(2056,plain,
% 0.55/0.75 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2055])).
% 0.55/0.75 tff(2057,plain,
% 0.55/0.75 (a_1298 = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.75 inference(transitivity,[status(thm)],[202, 2056])).
% 0.55/0.75 tff(2058,plain,
% 0.55/0.75 (store(a_1298, i7, e_1299) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2057, 2051])).
% 0.55/0.75 tff(2059,plain,
% 0.55/0.75 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1298, i7, e_1299), i5, select(store(a_1298, i7, e_1299), i5)) = store(a_1298, i7, e_1299))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(2060,plain,
% 0.55/0.75 (store(store(a_1298, i7, e_1299), i5, select(store(a_1298, i7, e_1299), i5)) = store(a_1298, i7, e_1299)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2059, 27])).
% 0.55/0.75 tff(2061,plain,
% 0.55/0.75 (select(store(a_1298, i7, e_1299), i5) = select(a_1300, i5)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[195])).
% 0.55/0.75 tff(2062,plain,
% 0.55/0.75 (select(a_1300, i5) = select(store(a_1298, i7, e_1299), i5)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2061])).
% 0.55/0.75 tff(2063,plain,
% 0.55/0.75 (e_1301 = select(store(a_1298, i7, e_1299), i5)),
% 0.55/0.75 inference(transitivity,[status(thm)],[692, 2062])).
% 0.55/0.75 tff(2064,plain,
% 0.55/0.75 (store(a_1300, i4, e_1301) = store(store(a_1298, i7, e_1299), i5, select(store(a_1298, i7, e_1299), i5))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[194, 1908, 2063])).
% 0.55/0.75 tff(2065,plain,
% 0.55/0.75 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2064, 2060, 2058, 2049, 457, 1925, 1924])).
% 0.55/0.75 tff(2066,plain,
% 0.55/0.75 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2065])).
% 0.55/0.75 tff(2067,plain,
% 0.55/0.75 (store(store(a_1298, i7, e_1299), i5, select(store(a_1298, i7, e_1299), i5)) = store(a_1300, i4, e_1301)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2064])).
% 0.55/0.75 tff(2068,plain,
% 0.55/0.75 (store(a_1298, i7, e_1299) = store(store(a_1298, i7, e_1299), i5, select(store(a_1298, i7, e_1299), i5))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2060])).
% 0.55/0.75 tff(2069,plain,
% 0.55/0.75 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1298, i7, e_1299), i4, select(store(a_1298, i7, e_1299), i4)) = store(a_1298, i7, e_1299))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(2070,plain,
% 0.55/0.75 (store(store(a_1298, i7, e_1299), i4, select(store(a_1298, i7, e_1299), i4)) = store(a_1298, i7, e_1299)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2069, 27])).
% 0.55/0.75 tff(2071,plain,
% 0.55/0.75 (select(store(a_1298, i7, e_1299), i4) = select(a_1300, i4)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[195])).
% 0.55/0.75 tff(2072,plain,
% 0.55/0.75 (select(a_1300, i4) = select(store(a_1298, i7, e_1299), i4)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2071])).
% 0.55/0.75 tff(2073,plain,
% 0.55/0.75 (store(store(a_1298, i7, e_1299), i5, select(a_1300, i4)) = store(store(a_1298, i7, e_1299), i4, select(store(a_1298, i7, e_1299), i4))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[1916, 2072])).
% 0.55/0.75 tff(2074,plain,
% 0.55/0.75 (a_1302 = store(a_1298, i7, e_1299)),
% 0.55/0.75 inference(transitivity,[status(thm)],[688, 2064, 2060])).
% 0.55/0.75 tff(2075,plain,
% 0.55/0.75 (store(a_1302, i5, e_1303) = store(store(a_1298, i7, e_1299), i5, select(a_1300, i4))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2074, 190])).
% 0.55/0.75 tff(2076,plain,
% 0.55/0.75 (a_1307 = store(a_1300, i4, e_1301)),
% 0.55/0.75 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2068, 2067])).
% 0.55/0.75 tff(2077,plain,
% 0.55/0.75 (select(a_1307, i2) = select(store(a_1300, i4, e_1301), i2)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2076])).
% 0.55/0.75 tff(2078,plain,
% 0.55/0.75 (e_1310 = select(a_1270, i2)),
% 0.55/0.75 inference(transitivity,[status(thm)],[79, 2077, 2066, 1923])).
% 0.55/0.75 tff(2079,plain,
% 0.55/0.75 (store(a_1300, i4, e_1301) = store(store(a_1296, i1, e_1297), i7, select(a_1296, i1))),
% 0.55/0.75 inference(transitivity,[status(thm)],[2064, 2060, 992])).
% 0.55/0.75 tff(2080,plain,
% 0.55/0.75 (select(store(a_1300, i4, e_1301), i1) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2079])).
% 0.55/0.75 tff(2081,plain,
% 0.55/0.75 (select(a_1307, i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2076])).
% 0.55/0.75 tff(2082,plain,
% 0.55/0.75 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2081, 2080, 1882, 1195, 1198, 2022, 1661, 1943])).
% 0.55/0.75 tff(2083,plain,
% 0.55/0.75 (store(a_1300, i4, e_1301) = store(a_1269, i0, e_1268)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2064, 2060, 2058, 2049, 457, 1921, 1918, 1912, 116, 730, 720, 109, 729])).
% 0.55/0.75 tff(2084,plain,
% 0.55/0.75 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2083, 2082])).
% 0.55/0.75 tff(2085,plain,
% 0.55/0.75 (store(a_1307, i2, e_1308) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2076, 387])).
% 0.55/0.75 tff(2086,plain,
% 0.55/0.75 (a_1309 = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.75 inference(transitivity,[status(thm)],[383, 2085, 2084])).
% 0.55/0.75 tff(2087,plain,
% 0.55/0.75 (store(a_1309, i1, e_1310) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2086, 2078])).
% 0.55/0.75 tff(2088,plain,
% 0.55/0.75 (a_1311 = a_1274),
% 0.55/0.75 inference(transitivity,[status(thm)],[75, 2087, 2048, 278, 154])).
% 0.55/0.75 tff(2089,plain,
% 0.55/0.75 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2088])).
% 0.55/0.75 tff(2090,plain,
% 0.55/0.75 (e_1314 = e_1277),
% 0.55/0.75 inference(transitivity,[status(thm)],[71, 2089, 150])).
% 0.55/0.75 tff(2091,plain,
% 0.55/0.75 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2088])).
% 0.55/0.75 tff(2092,plain,
% 0.55/0.75 (e_1312 = e_1275),
% 0.55/0.75 inference(transitivity,[status(thm)],[748, 2091, 1689])).
% 0.55/0.75 tff(2093,plain,
% 0.55/0.75 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2088, 2092])).
% 0.55/0.75 tff(2094,plain,
% 0.55/0.75 (a_1313 = a_1276),
% 0.55/0.75 inference(transitivity,[status(thm)],[744, 2093, 1688])).
% 0.55/0.75 tff(2095,plain,
% 0.55/0.75 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2094, 2090])).
% 0.55/0.75 tff(2096,plain,
% 0.55/0.75 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2095])).
% 0.55/0.75 tff(2097,plain,
% 0.55/0.75 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1276, i0, e_1277), i9, select(store(a_1276, i0, e_1277), i9)) = store(a_1276, i0, e_1277))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(2098,plain,
% 0.55/0.75 (store(store(a_1276, i0, e_1277), i9, select(store(a_1276, i0, e_1277), i9)) = store(a_1276, i0, e_1277)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2097, 27])).
% 0.55/0.75 tff(2099,plain,
% 0.55/0.75 (select(store(a_1276, i0, e_1277), i9) = select(a_1278, i9)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[146])).
% 0.55/0.75 tff(2100,plain,
% 0.55/0.75 (select(a_1278, i9) = select(store(a_1276, i0, e_1277), i9)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2099])).
% 0.55/0.75 tff(2101,plain,
% 0.55/0.75 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(store(a_1276, i0, e_1277), i9, select(store(a_1276, i0, e_1277), i9))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[1932, 2100])).
% 0.55/0.75 tff(2102,plain,
% 0.55/0.75 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[145, 1933, 1475])).
% 0.55/0.75 tff(2103,plain,
% 0.55/0.75 (a_1280 = store(a_1276, i0, e_1277)),
% 0.55/0.75 inference(transitivity,[status(thm)],[767, 2102, 1472])).
% 0.55/0.75 tff(2104,plain,
% 0.55/0.75 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2103, 67])).
% 0.55/0.75 tff(2105,plain,
% 0.55/0.75 (a_1282 = a_1319),
% 0.55/0.75 inference(transitivity,[status(thm)],[782, 2104, 2101, 2098, 2096, 1051, 1940, 1048, 1938, 36])).
% 0.55/0.75 tff(2106,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[789, 2105])).
% 0.55/0.75 tff(2107,plain,((i7 = i1) | (~(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)))) | (~(i8 = i4)) | (~(i8 = i5)) | (~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) | (~(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8))) | (~(i5 = i9))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.75 tff(2108,plain,
% 0.55/0.75 (i7 = i1),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[2107, 1932, 1759, 1877, 1768, 1926, 2048])).
% 0.55/0.75 tff(2109,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i7, select(a_1259, i1)) = store(store(a_1255, i4, e_1256), i1, select(a_1259, i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2108])).
% 0.55/0.75 tff(2110,plain,
% 0.55/0.75 (a_1259 = store(a_1255, i4, e_1256)),
% 0.55/0.75 inference(transitivity,[status(thm)],[123, 2042, 2039, 2028])).
% 0.55/0.75 tff(2111,plain,
% 0.55/0.75 (store(a_1259, i7, e_1260) = store(store(a_1255, i4, e_1256), i7, select(a_1259, i1))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2110, 129])).
% 0.55/0.75 tff(2112,plain,
% 0.55/0.75 (a_1261 = store(a_1292, i4, e_1293)),
% 0.55/0.75 inference(transitivity,[status(thm)],[452, 2111, 2109, 2047, 1111, 2042, 2039, 2028, 1995, 2026, 2025])).
% 0.55/0.75 tff(2113,plain,
% 0.55/0.75 (store(a_1261, i1, e_1262) = store(store(a_1292, i4, e_1293), i1, select(a_1296, i7))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2112, 2024])).
% 0.55/0.75 tff(2114,plain,
% 0.55/0.75 (store(store(a_1292, i4, e_1293), i1, select(a_1296, i7)) = store(a_1261, i1, e_1262)),
% 0.55/0.75 inference(symmetry,[status(thm)],[2113])).
% 0.55/0.75 tff(2115,plain,
% 0.55/0.75 (i1 = i7),
% 0.55/0.75 inference(symmetry,[status(thm)],[2108])).
% 0.55/0.75 tff(2116,plain,
% 0.55/0.75 (store(a_1292, i4, e_1293) = store(a_1255, i4, e_1256)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2018, 2017, 1996])).
% 0.55/0.75 tff(2117,plain,
% 0.55/0.75 (store(store(a_1292, i4, e_1293), i1, select(a_1296, i7)) = store(store(a_1255, i4, e_1256), i7, select(a_1259, i7))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2116, 2115, 2022])).
% 0.55/0.75 tff(2118,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i7, select(a_1259, i7)) = store(store(a_1292, i4, e_1293), i1, select(a_1296, i7))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2117])).
% 0.55/0.75 tff(2119,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i7, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2046, 1116])).
% 0.55/0.75 tff(2120,plain,
% 0.55/0.75 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(store(a_1255, i4, e_1256), i7, select(a_1259, i7))),
% 0.55/0.75 inference(symmetry,[status(thm)],[2119])).
% 0.55/0.75 tff(2121,plain,
% 0.55/0.75 (store(a_1259, i7, e_1260) = store(a_1263, i4, e_1264)),
% 0.55/0.75 inference(transitivity,[status(thm)],[2111, 2109, 2047, 1111, 1215, 2120, 2118, 2114, 1925, 1924])).
% 0.55/0.75 tff(2122,plain,
% 0.55/0.75 (select(store(a_1259, i7, e_1260), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.55/0.75 inference(monotonicity,[status(thm)],[2121])).
% 0.55/0.75 tff(2123,plain,
% 0.55/0.75 (store(store(a_1255, i4, e_1256), i7, select(a_1259, i1)) = store(a_1259, i7, e_1260)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2111])).
% 0.55/0.76 tff(2124,plain,
% 0.55/0.76 (store(store(a_1255, i4, e_1256), i1, select(a_1259, i1)) = store(store(a_1255, i4, e_1256), i7, select(a_1259, i1))),
% 0.55/0.76 inference(symmetry,[status(thm)],[2109])).
% 0.55/0.76 tff(2125,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(store(a_1255, i4, e_1256), i1, select(a_1259, i1))),
% 0.55/0.76 inference(symmetry,[status(thm)],[2047])).
% 0.55/0.76 tff(2126,plain,
% 0.55/0.76 (store(a_1257, i9, e_1258) = store(a_1292, i4, e_1293)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2042, 2039, 2028, 1995, 2026, 2025])).
% 0.55/0.76 tff(2127,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1292, i4, e_1293), i1, select(a_1296, i7))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2126, 2023])).
% 0.55/0.76 tff(2128,plain,
% 0.55/0.76 (e_1297 = select(a_1259, i7)),
% 0.55/0.76 inference(transitivity,[status(thm)],[206, 2022])).
% 0.55/0.76 tff(2129,plain,
% 0.55/0.76 (a_1296 = store(a_1257, i9, e_1258)),
% 0.55/0.76 inference(transitivity,[status(thm)],[210, 2020])).
% 0.55/0.76 tff(2130,plain,
% 0.55/0.76 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2129, 2128])).
% 0.55/0.76 tff(2131,plain,
% 0.55/0.76 (store(a_1255, i4, e_1256) = a_1259),
% 0.55/0.76 inference(transitivity,[status(thm)],[2045, 2044, 2043, 124])).
% 0.55/0.76 tff(2132,plain,
% 0.55/0.76 (select(store(a_1255, i4, e_1256), i7) = select(a_1259, i7)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2131])).
% 0.55/0.76 tff(2133,plain,
% 0.55/0.76 (select(store(a_1255, i4, e_1256), i1) = select(store(a_1255, i4, e_1256), i7)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2115])).
% 0.55/0.76 tff(2134,plain,
% 0.55/0.76 (select(a_1259, i1) = select(store(a_1255, i4, e_1256), i1)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2110])).
% 0.55/0.76 tff(2135,plain,
% 0.55/0.76 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.55/0.76 inference(transitivity,[status(thm)],[198, 2050, 2134, 2133, 2132, 2023, 1199, 1196])).
% 0.55/0.76 tff(2136,plain,
% 0.55/0.76 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[202, 2108, 2135])).
% 0.55/0.76 tff(2137,plain,
% 0.55/0.76 (store(a_1300, i4, e_1301) = store(a_1259, i7, e_1260)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2064, 2060, 2136, 1206, 2130, 2127, 2117, 2119, 1114, 1112, 2125, 2124, 2123])).
% 0.55/0.76 tff(2138,plain,
% 0.55/0.76 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1259, i7, e_1260), i2)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2137])).
% 0.55/0.76 tff(2139,plain,
% 0.55/0.76 (e_1310 = select(a_1270, i2)),
% 0.55/0.76 inference(transitivity,[status(thm)],[79, 2077, 2138, 2122, 1923])).
% 0.55/0.76 tff(2140,plain,
% 0.55/0.76 (store(a_1257, i9, e_1258) = store(a_1259, i7, e_1260)),
% 0.55/0.76 inference(transitivity,[status(thm)],[1112, 2125, 2124, 2123])).
% 0.55/0.76 tff(2141,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2140])).
% 0.55/0.76 tff(2142,plain,
% 0.55/0.76 (select(store(a_1300, i4, e_1301), i1) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2079, 2115])).
% 0.55/0.76 tff(2143,plain,
% 0.55/0.76 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2081, 2142, 991, 2050, 2134, 2133, 2132, 1661, 1943])).
% 0.55/0.76 tff(2144,plain,
% 0.55/0.76 (store(a_1300, i4, e_1301) = store(a_1257, i9, e_1258)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2064, 2060, 2136, 1206, 2130, 2127, 2117, 2119, 1114])).
% 0.55/0.76 tff(2145,plain,
% 0.55/0.76 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2144, 2143])).
% 0.55/0.76 tff(2146,plain,
% 0.55/0.76 (a_1309 = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.55/0.76 inference(transitivity,[status(thm)],[383, 2085, 2145, 2141])).
% 0.55/0.76 tff(2147,plain,
% 0.55/0.76 (store(a_1309, i1, e_1310) = store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2146, 2139])).
% 0.55/0.76 tff(2148,plain,
% 0.55/0.76 (a_1311 = a_1274),
% 0.55/0.76 inference(transitivity,[status(thm)],[75, 2147, 1954, 1953, 154])).
% 0.55/0.76 tff(2149,plain,
% 0.55/0.76 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2148])).
% 0.55/0.76 tff(2150,plain,
% 0.55/0.76 (e_1314 = e_1277),
% 0.55/0.76 inference(transitivity,[status(thm)],[71, 2149, 150])).
% 0.55/0.76 tff(2151,plain,
% 0.55/0.76 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2148])).
% 0.55/0.76 tff(2152,plain,
% 0.55/0.76 (e_1312 = e_1275),
% 0.55/0.76 inference(transitivity,[status(thm)],[748, 2151, 1689])).
% 0.55/0.76 tff(2153,plain,
% 0.55/0.76 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2148, 2152])).
% 0.55/0.76 tff(2154,plain,
% 0.55/0.76 (a_1313 = a_1276),
% 0.55/0.76 inference(transitivity,[status(thm)],[744, 2153, 1688])).
% 0.55/0.76 tff(2155,plain,
% 0.55/0.76 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2154, 2150])).
% 0.55/0.76 tff(2156,plain,
% 0.55/0.76 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2155])).
% 0.55/0.76 tff(2157,plain,
% 0.55/0.76 (a_1282 = a_1319),
% 0.55/0.76 inference(transitivity,[status(thm)],[782, 2104, 2101, 2098, 2156, 1051, 1940, 1048, 1938, 36])).
% 0.55/0.76 tff(2158,plain,
% 0.55/0.76 ($false),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[789, 2157])).
% 0.55/0.76 tff(2159,plain,((~(i5 = i9)) | (~(store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1)))) | (~(i8 = i4)) | (~(i8 = i5)) | (~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) | (~(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8))) | (~(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.76 tff(2160,plain,
% 0.55/0.76 (~(i5 = i9)),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[2159, 1931, 1759, 1877, 1768, 1926, 1902])).
% 0.55/0.76 tff(2161,plain,
% 0.55/0.76 (((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i9) | (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))))) <=> ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i9) | (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))))),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(2162,plain,
% 0.55/0.76 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | ((i5 = i9) | (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))))),
% 0.55/0.76 inference(quant_inst,[status(thm)],[])).
% 0.55/0.76 tff(2163,plain,
% 0.55/0.76 ((~![I: $i, E: $i, A: $i, J: $i, F: $i] : ((I = J) | (store(store(A, I, E), J, F) = store(store(A, J, F), I, E)))) | (i5 = i9) | (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 0.55/0.76 tff(2164,plain,
% 0.55/0.76 ((i5 = i9) | (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[2163, 222])).
% 0.55/0.76 tff(2165,plain,
% 0.55/0.76 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[2164, 2160])).
% 0.55/0.76 tff(2166,plain,
% 0.55/0.76 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(a_1253, i5, e_1254)),
% 0.55/0.76 inference(symmetry,[status(thm)],[1964])).
% 0.55/0.76 tff(2167,plain,
% 0.55/0.76 (store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8)) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.55/0.76 inference(symmetry,[status(thm)],[1962])).
% 0.55/0.76 tff(2168,plain,
% 0.55/0.76 (store(a_1249, i8, e_1250) = store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8))),
% 0.55/0.76 inference(symmetry,[status(thm)],[1959])).
% 0.55/0.76 tff(2169,plain,
% 0.55/0.76 (store(a_1251, i8, e_1252) = a_1255),
% 0.55/0.76 inference(transitivity,[status(thm)],[1955, 29, 2168, 2167, 2166, 642])).
% 0.55/0.76 tff(2170,plain,
% 0.55/0.76 (store(store(a_1251, i8, e_1252), i4, select(a_1255, i9)) = store(a_1255, i4, e_1256)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2169, 641])).
% 0.55/0.76 tff(2171,plain,
% 0.55/0.76 (select(store(a_1251, i8, e_1252), i9) = select(a_1255, i9)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2169])).
% 0.55/0.76 tff(2172,plain,
% 0.55/0.76 (select(a_1292, i9) = select(a_1255, i9)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2015, 2014, 2171])).
% 0.55/0.76 tff(2173,plain,
% 0.55/0.76 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2013, 2172])).
% 0.55/0.76 tff(2174,plain,
% 0.55/0.76 (a_1294 = a_1257),
% 0.55/0.76 inference(transitivity,[status(thm)],[665, 2018, 2173, 2170, 637])).
% 0.55/0.76 tff(2175,plain,
% 0.55/0.76 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2174, 1994])).
% 0.55/0.76 tff(2176,plain,
% 0.55/0.76 (a_1296 = a_1259),
% 0.55/0.76 inference(transitivity,[status(thm)],[210, 2175, 124])).
% 0.55/0.76 tff(2177,plain,
% 0.55/0.76 (select(a_1296, i1) = select(a_1259, i1)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2176])).
% 0.55/0.76 tff(2178,plain,
% 0.55/0.76 (e_1299 = select(a_1259, i1)),
% 0.55/0.76 inference(transitivity,[status(thm)],[198, 2177])).
% 0.55/0.76 tff(2179,plain,
% 0.55/0.76 (select(a_1296, i7) = select(a_1259, i7)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2176])).
% 0.55/0.76 tff(2180,plain,
% 0.55/0.76 (select(a_1259, i7) = select(a_1296, i7)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2179])).
% 0.55/0.76 tff(2181,plain,
% 0.55/0.76 (select(a_1259, i7) = e_1297),
% 0.55/0.76 inference(transitivity,[status(thm)],[2180, 207])).
% 0.55/0.76 tff(2182,plain,
% 0.55/0.76 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2175])).
% 0.55/0.76 tff(2183,plain,
% 0.55/0.76 (store(a_1257, i9, e_1258) = a_1296),
% 0.55/0.76 inference(transitivity,[status(thm)],[2182, 211])).
% 0.55/0.76 tff(2184,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2183, 2181])).
% 0.55/0.76 tff(2185,plain,
% 0.55/0.76 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(symmetry,[status(thm)],[2184])).
% 0.55/0.76 tff(2186,plain,
% 0.55/0.76 (a_1298 = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(transitivity,[status(thm)],[202, 2185])).
% 0.55/0.76 tff(2187,plain,
% 0.55/0.76 (store(a_1298, i7, e_1299) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2186, 2178])).
% 0.55/0.76 tff(2188,plain,
% 0.55/0.76 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2064, 2060, 2187, 2049, 457, 1925, 1924])).
% 0.55/0.76 tff(2189,plain,
% 0.55/0.76 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2188])).
% 0.55/0.76 tff(2190,plain,
% 0.55/0.76 (e_1310 = select(a_1270, i2)),
% 0.55/0.76 inference(transitivity,[status(thm)],[79, 2077, 2189, 1923])).
% 0.55/0.76 tff(2191,plain,
% 0.55/0.76 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2081, 2080, 1882, 1195, 1198, 2179, 1661, 1943])).
% 0.55/0.76 tff(2192,plain,
% 0.55/0.76 (store(a_1300, i4, e_1301) = store(a_1269, i0, e_1268)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2064, 2060, 2187, 2049, 457, 1921, 1918, 1912, 116, 730, 720, 109, 729])).
% 0.55/0.76 tff(2193,plain,
% 0.55/0.76 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2192, 2191])).
% 0.55/0.76 tff(2194,plain,
% 0.55/0.76 (a_1309 = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.76 inference(transitivity,[status(thm)],[383, 2085, 2193])).
% 0.55/0.76 tff(2195,plain,
% 0.55/0.76 (store(a_1309, i1, e_1310) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2194, 2190])).
% 0.55/0.76 tff(2196,plain,
% 0.55/0.76 (a_1311 = a_1274),
% 0.55/0.76 inference(transitivity,[status(thm)],[75, 2195, 2048, 278, 154])).
% 0.55/0.76 tff(2197,plain,
% 0.55/0.76 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2196])).
% 0.55/0.76 tff(2198,plain,
% 0.55/0.76 (e_1314 = e_1277),
% 0.55/0.76 inference(transitivity,[status(thm)],[71, 2197, 150])).
% 0.55/0.76 tff(2199,plain,
% 0.55/0.76 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2196])).
% 0.55/0.76 tff(2200,plain,
% 0.55/0.76 (e_1312 = e_1275),
% 0.55/0.76 inference(transitivity,[status(thm)],[748, 2199, 1689])).
% 0.55/0.76 tff(2201,plain,
% 0.55/0.76 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2196, 2200])).
% 0.55/0.76 tff(2202,plain,
% 0.55/0.76 (a_1313 = a_1276),
% 0.55/0.76 inference(transitivity,[status(thm)],[744, 2201, 1688])).
% 0.55/0.76 tff(2203,plain,
% 0.55/0.76 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2202, 2198])).
% 0.55/0.76 tff(2204,plain,
% 0.55/0.76 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2203])).
% 0.55/0.76 tff(2205,plain,
% 0.55/0.76 (a_1278 = a_1315),
% 0.55/0.76 inference(transitivity,[status(thm)],[145, 2204, 45])).
% 0.55/0.76 tff(2206,plain,
% 0.55/0.76 (select(a_1278, i5) = select(a_1315, i5)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2205])).
% 0.55/0.76 tff(2207,plain,
% 0.55/0.76 (select(a_1315, i5) = select(a_1278, i5)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2206])).
% 0.55/0.76 tff(2208,plain,
% 0.55/0.76 (e_1318 = select(a_1278, i5)),
% 0.55/0.76 inference(transitivity,[status(thm)],[39, 2207])).
% 0.55/0.76 tff(2209,plain,
% 0.55/0.76 (a_1315 = a_1278),
% 0.55/0.76 inference(transitivity,[status(thm)],[44, 2203, 146])).
% 0.55/0.76 tff(2210,plain,
% 0.55/0.76 (select(a_1315, i9) = select(a_1278, i9)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2209])).
% 0.55/0.76 tff(2211,plain,
% 0.55/0.76 (e_1316 = select(a_1278, i9)),
% 0.55/0.76 inference(transitivity,[status(thm)],[50, 2210])).
% 0.55/0.76 tff(2212,plain,
% 0.55/0.76 (a_1315 = store(a_1276, i0, e_1277)),
% 0.55/0.76 inference(transitivity,[status(thm)],[44, 2203])).
% 0.55/0.76 tff(2213,plain,
% 0.55/0.76 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2212, 2211])).
% 0.55/0.76 tff(2214,plain,
% 0.55/0.76 (a_1317 = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.76 inference(transitivity,[status(thm)],[57, 2213])).
% 0.55/0.76 tff(2215,plain,
% 0.55/0.76 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2214, 2208])).
% 0.55/0.76 tff(2216,plain,
% 0.55/0.76 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2215])).
% 0.55/0.76 tff(2217,assumption,(store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))), introduced(assumption)).
% 0.55/0.76 tff(2218,plain,
% 0.55/0.76 (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.76 inference(symmetry,[status(thm)],[2217])).
% 0.55/0.76 tff(2219,plain,
% 0.55/0.76 (a_1282 = a_1319),
% 0.55/0.76 inference(transitivity,[status(thm)],[782, 1713, 2218, 2216, 36])).
% 0.55/0.76 tff(2220,plain,
% 0.55/0.76 ($false),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[789, 2219])).
% 0.55/0.76 tff(2221,plain,((i7 = i1) | (~(store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))) | (~(store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1)))) | (~(i8 = i4)) | (~(i8 = i5)) | (~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) | (~(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.76 tff(2222,plain,
% 0.55/0.76 (i7 = i1),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[2221, 2165, 1902, 1759, 1877, 1768, 1926])).
% 0.55/0.76 tff(2223,plain,
% 0.55/0.76 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[123, 2222, 130])).
% 0.55/0.76 tff(2224,plain,
% 0.55/0.76 (a_1261 = store(a_1257, i9, e_1258)),
% 0.55/0.76 inference(transitivity,[status(thm)],[452, 2223, 1111])).
% 0.55/0.76 tff(2225,plain,
% 0.55/0.76 (store(a_1261, i1, e_1262) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2224, 433])).
% 0.55/0.76 tff(2226,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2225])).
% 0.55/0.76 tff(2227,plain,
% 0.55/0.76 (i1 = i7),
% 0.55/0.76 inference(symmetry,[status(thm)],[2222])).
% 0.55/0.76 tff(2228,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2227, 1116])).
% 0.55/0.76 tff(2229,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(symmetry,[status(thm)],[2228])).
% 0.55/0.76 tff(2230,plain,
% 0.55/0.76 (store(a_1259, i7, e_1260) = store(a_1263, i4, e_1264)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2223, 1111, 1215, 2229, 2226, 1925, 1924])).
% 0.55/0.76 tff(2231,plain,
% 0.55/0.76 (select(store(a_1259, i7, e_1260), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2230])).
% 0.55/0.76 tff(2232,plain,
% 0.55/0.76 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1259, i7, e_1260)),
% 0.55/0.76 inference(symmetry,[status(thm)],[2223])).
% 0.55/0.76 tff(2233,plain,
% 0.55/0.76 (e_1297 = select(a_1259, i7)),
% 0.55/0.76 inference(transitivity,[status(thm)],[206, 2179])).
% 0.55/0.76 tff(2234,plain,
% 0.55/0.76 (a_1296 = store(a_1257, i9, e_1258)),
% 0.55/0.76 inference(transitivity,[status(thm)],[210, 2175])).
% 0.55/0.76 tff(2235,plain,
% 0.55/0.76 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2234, 2233])).
% 0.55/0.76 tff(2236,plain,
% 0.55/0.76 (select(a_1259, i1) = select(a_1259, i7)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2227])).
% 0.55/0.76 tff(2237,plain,
% 0.55/0.76 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.55/0.76 inference(transitivity,[status(thm)],[198, 2177, 2236, 2180, 1199, 1196])).
% 0.55/0.76 tff(2238,plain,
% 0.55/0.76 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[202, 2222, 2237])).
% 0.55/0.76 tff(2239,plain,
% 0.55/0.76 (store(a_1300, i4, e_1301) = store(a_1259, i7, e_1260)),
% 0.55/0.76 inference(transitivity,[status(thm)],[2064, 2060, 2238, 1206, 2235, 2228, 1114, 1112, 2232])).
% 0.55/0.76 tff(2240,plain,
% 0.55/0.76 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1259, i7, e_1260), i2)),
% 0.55/0.76 inference(monotonicity,[status(thm)],[2239])).
% 0.55/0.76 tff(2241,plain,
% 0.55/0.76 (e_1310 = select(a_1270, i2)),
% 0.55/0.76 inference(transitivity,[status(thm)],[79, 2077, 2240, 2231, 1923])).
% 0.55/0.77 tff(2242,plain,
% 0.55/0.77 (store(a_1257, i9, e_1258) = store(a_1269, i0, e_1268)),
% 0.55/0.77 inference(transitivity,[status(thm)],[1215, 2229, 2226, 1921, 1918, 1912, 116, 730, 720, 109, 729])).
% 0.55/0.77 tff(2243,plain,
% 0.55/0.77 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2242])).
% 0.55/0.77 tff(2244,plain,
% 0.55/0.77 (select(store(a_1300, i4, e_1301), i1) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2079, 2227])).
% 0.55/0.77 tff(2245,plain,
% 0.55/0.77 (select(a_1307, i1) = select(a_1270, i1)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2081, 2244, 991, 2177, 2236, 1661, 1943])).
% 0.55/0.77 tff(2246,plain,
% 0.55/0.77 (store(a_1300, i4, e_1301) = store(a_1257, i9, e_1258)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2064, 2060, 2238, 1206, 2235, 2228, 1114])).
% 0.55/0.77 tff(2247,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2246, 2245])).
% 0.55/0.77 tff(2248,plain,
% 0.55/0.77 (a_1309 = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.55/0.77 inference(transitivity,[status(thm)],[383, 2085, 2247, 2243])).
% 0.55/0.77 tff(2249,plain,
% 0.55/0.77 (store(a_1309, i1, e_1310) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2248, 2241])).
% 0.55/0.77 tff(2250,plain,
% 0.55/0.77 (a_1311 = a_1274),
% 0.55/0.77 inference(transitivity,[status(thm)],[75, 2249, 1902, 278, 154])).
% 0.55/0.77 tff(2251,plain,
% 0.55/0.77 (select(a_1311, i3) = select(a_1274, i3)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2250])).
% 0.55/0.77 tff(2252,plain,
% 0.55/0.77 (e_1314 = e_1277),
% 0.55/0.77 inference(transitivity,[status(thm)],[71, 2251, 150])).
% 0.55/0.77 tff(2253,plain,
% 0.55/0.77 (select(a_1311, i0) = select(a_1274, i0)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2250])).
% 0.55/0.77 tff(2254,plain,
% 0.55/0.77 (e_1312 = e_1275),
% 0.55/0.77 inference(transitivity,[status(thm)],[748, 2253, 1689])).
% 0.55/0.77 tff(2255,plain,
% 0.55/0.77 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2250, 2254])).
% 0.55/0.77 tff(2256,plain,
% 0.55/0.77 (a_1313 = a_1276),
% 0.55/0.77 inference(transitivity,[status(thm)],[744, 2255, 1688])).
% 0.55/0.77 tff(2257,plain,
% 0.55/0.77 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2256, 2252])).
% 0.55/0.77 tff(2258,plain,
% 0.55/0.77 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2257])).
% 0.55/0.77 tff(2259,plain,
% 0.55/0.77 (a_1278 = a_1315),
% 0.55/0.77 inference(transitivity,[status(thm)],[145, 2258, 45])).
% 0.55/0.77 tff(2260,plain,
% 0.55/0.77 (select(a_1278, i5) = select(a_1315, i5)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2259])).
% 0.55/0.77 tff(2261,plain,
% 0.55/0.77 (select(a_1315, i5) = select(a_1278, i5)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2260])).
% 0.55/0.77 tff(2262,plain,
% 0.55/0.77 (e_1318 = select(a_1278, i5)),
% 0.55/0.77 inference(transitivity,[status(thm)],[39, 2261])).
% 0.55/0.77 tff(2263,plain,
% 0.55/0.77 (a_1315 = a_1278),
% 0.55/0.77 inference(transitivity,[status(thm)],[44, 2257, 146])).
% 0.55/0.77 tff(2264,plain,
% 0.55/0.77 (select(a_1315, i9) = select(a_1278, i9)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2263])).
% 0.55/0.77 tff(2265,plain,
% 0.55/0.77 (e_1316 = select(a_1278, i9)),
% 0.55/0.77 inference(transitivity,[status(thm)],[50, 2264])).
% 0.55/0.77 tff(2266,plain,
% 0.55/0.77 (a_1315 = store(a_1276, i0, e_1277)),
% 0.55/0.77 inference(transitivity,[status(thm)],[44, 2257])).
% 0.55/0.77 tff(2267,plain,
% 0.55/0.77 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2266, 2265])).
% 0.55/0.77 tff(2268,plain,
% 0.55/0.77 (a_1317 = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.55/0.77 inference(transitivity,[status(thm)],[57, 2267])).
% 0.55/0.77 tff(2269,plain,
% 0.55/0.77 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2268, 2262])).
% 0.55/0.77 tff(2270,plain,
% 0.55/0.77 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2269])).
% 0.55/0.77 tff(2271,plain,
% 0.55/0.77 (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2165])).
% 0.55/0.77 tff(2272,plain,
% 0.55/0.77 (a_1282 = a_1319),
% 0.55/0.77 inference(transitivity,[status(thm)],[782, 1713, 2271, 2270, 36])).
% 0.55/0.77 tff(2273,plain,
% 0.55/0.77 ($false),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[789, 2272])).
% 0.55/0.77 tff(2274,plain,((i2 = i1) | (~(i8 = i4)) | (~(i8 = i5)) | (~(store(store(a1, i8, select(a1, i7)), i7, select(a1, i8)) = store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)))) | (~(select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i8) = select(store(a1, i8, e_1244), i8)))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.77 tff(2275,plain,
% 0.55/0.77 (i2 = i1),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[2274, 1900, 1877, 1759, 1895])).
% 0.55/0.77 tff(2276,plain,
% 0.55/0.77 (store(a_1263, i4, e_1264) = store(a_1269, i0, e_1268)),
% 0.55/0.77 inference(transitivity,[status(thm)],[1909, 1904, 1921, 1918, 1912, 116, 730, 720, 109, 729])).
% 0.55/0.77 tff(2277,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i2, select(a_1270, i2)) = store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2276, 301])).
% 0.55/0.77 tff(2278,plain,
% 0.55/0.77 (i1 = i2),
% 0.55/0.77 inference(symmetry,[status(thm)],[2275])).
% 0.55/0.77 tff(2279,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i2, select(a_1270, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2278])).
% 0.55/0.77 tff(2280,plain,
% 0.55/0.77 (a_1270 = store(a_1263, i4, e_1264)),
% 0.55/0.77 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1911, 1917, 1920, 1925, 1924])).
% 0.55/0.77 tff(2281,plain,
% 0.55/0.77 (store(a_1270, i1, e_1271) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2280, 274])).
% 0.55/0.77 tff(2282,plain,
% 0.55/0.77 (a_1272 = store(a_1263, i4, e_1264)),
% 0.55/0.77 inference(transitivity,[status(thm)],[270, 2281, 2279, 2277, 307, 722, 108, 719, 718, 115, 1911, 1917, 1920, 1925, 1924])).
% 0.55/0.77 tff(2283,plain,
% 0.55/0.77 (store(a_1272, i2, e_1273) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2282, 2275, 157])).
% 0.55/0.77 tff(2284,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i1)) = store(a_1272, i2, e_1273)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2283])).
% 0.55/0.77 tff(2285,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i1)) = store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2276, 312])).
% 0.55/0.77 tff(2286,plain,
% 0.55/0.77 (store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2285])).
% 0.55/0.77 tff(2287,plain,
% 0.55/0.77 (store(a_1269, i0, e_1268) = store(store(a_1269, i0, e_1268), i1, select(store(a_1269, i0, e_1268), i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[310])).
% 0.55/0.77 tff(2288,plain,
% 0.55/0.77 (store(a_1269, i0, e_1268) = store(a_1263, i4, e_1264)),
% 0.55/0.77 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1911, 1917, 1920, 1925, 1924])).
% 0.55/0.77 tff(2289,plain,
% 0.55/0.77 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2288, 2275])).
% 0.55/0.77 tff(2290,plain,
% 0.55/0.77 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1263, i4, e_1264)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2289, 2285, 310, 722, 108, 719, 718, 115, 1911, 1917, 1920, 1925, 1924])).
% 0.55/0.77 tff(2291,plain,
% 0.55/0.77 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2290])).
% 0.55/0.77 tff(2292,plain,
% 0.55/0.77 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.55/0.77 inference(transitivity,[status(thm)],[2291, 2279, 2277, 307, 2287, 2286, 2284, 279])).
% 0.55/0.77 tff(2293,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i2)) = store(a_1270, i1, e_1271)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2281])).
% 0.55/0.77 tff(2294,plain,
% 0.55/0.77 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)) = a_1272),
% 0.55/0.77 inference(transitivity,[status(thm)],[1951, 1948, 2293, 271])).
% 0.55/0.77 tff(2295,plain,
% 0.55/0.77 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1)) = store(a_1272, i2, e_1273)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2294, 158])).
% 0.55/0.77 tff(2296,plain,
% 0.55/0.77 (store(a_1272, i2, e_1273) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2295])).
% 0.55/0.77 tff(2297,plain,
% 0.55/0.77 (store(a_1263, i4, e_1264) = store(store(a_1259, i7, e_1260), i1, select(a_1259, i7))),
% 0.55/0.77 inference(transitivity,[status(thm)],[1909, 1904, 1655])).
% 0.55/0.77 tff(2298,plain,
% 0.55/0.77 (select(store(a_1263, i4, e_1264), i2) = select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2297, 2275])).
% 0.55/0.77 tff(2299,plain,
% 0.55/0.77 (select(a_1270, i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2280])).
% 0.55/0.77 tff(2300,plain,
% 0.55/0.77 (select(a_1270, i2) = select(a_1270, i1)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2299, 2298, 1943])).
% 0.55/0.77 tff(2301,plain,
% 0.55/0.77 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(a_1261, i1, e_1262)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[453, 2275, 1945])).
% 0.55/0.77 tff(2302,plain,
% 0.55/0.77 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(a_1263, i4, e_1264)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2301, 1925, 1924])).
% 0.55/0.77 tff(2303,plain,
% 0.55/0.77 (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2302, 2300])).
% 0.55/0.77 tff(2304,plain,
% 0.55/0.77 (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.55/0.77 inference(transitivity,[status(thm)],[2303, 2284, 2296])).
% 0.55/0.77 tff(2305,plain,
% 0.55/0.77 (~(i5 = i9)),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[2159, 2304, 1759, 1877, 1900, 1895, 2292])).
% 0.55/0.77 tff(2306,plain,
% 0.55/0.77 (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[1104, 2305])).
% 0.55/0.77 tff(2307,plain,
% 0.55/0.77 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2306])).
% 0.55/0.77 tff(2308,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(a_1307, i2, e_1308)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2085])).
% 0.55/0.77 tff(2309,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1300, i4, e_1301), i1, select(a_1307, i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2275])).
% 0.55/0.77 tff(2310,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i1, select(a_1307, i1)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2309])).
% 0.55/0.77 tff(2311,plain,
% 0.55/0.77 (store(store(a_1298, i7, e_1299), i5, select(a_1300, i4)) = store(a_1302, i5, e_1303)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2075])).
% 0.55/0.77 tff(2312,plain,
% 0.55/0.77 (store(store(a_1298, i7, e_1299), i4, select(store(a_1298, i7, e_1299), i4)) = store(store(a_1298, i7, e_1299), i5, select(a_1300, i4))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2073])).
% 0.55/0.77 tff(2313,plain,
% 0.55/0.77 (store(a_1298, i7, e_1299) = store(store(a_1298, i7, e_1299), i4, select(store(a_1298, i7, e_1299), i4))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2070])).
% 0.55/0.77 tff(2314,plain,
% 0.55/0.77 (store(a_1300, i4, e_1301) = store(a_1306, i0, e_1305)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2064, 2060, 2313, 2312, 2311, 187, 1258, 1236, 180, 1257])).
% 0.55/0.77 tff(2315,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i1, select(a_1307, i1)) = store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2314, 396])).
% 0.55/0.77 tff(2316,plain,
% 0.55/0.77 (store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1)) = store(store(a_1300, i4, e_1301), i1, select(a_1307, i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2315])).
% 0.55/0.77 tff(2317,plain,
% 0.55/0.77 (store(a_1306, i0, e_1305) = store(store(a_1306, i0, e_1305), i1, select(store(a_1306, i0, e_1305), i1))),
% 0.55/0.77 inference(symmetry,[status(thm)],[394])).
% 0.55/0.77 tff(2318,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i2)) = store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2314, 409])).
% 0.55/0.77 tff(2319,plain,
% 0.55/0.77 (store(a_1306, i0, e_1305) = store(a_1300, i4, e_1301)),
% 0.55/0.77 inference(transitivity,[status(thm)],[1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2068, 2067])).
% 0.55/0.77 tff(2320,plain,
% 0.55/0.77 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2319, 2278])).
% 0.55/0.77 tff(2321,plain,
% 0.55/0.77 (a_1309 = store(a_1306, i0, e_1305)),
% 0.55/0.77 inference(transitivity,[status(thm)],[383, 2085, 2309, 2315, 394])).
% 0.55/0.77 tff(2322,plain,
% 0.55/0.77 (store(a_1309, i1, e_1310) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2321, 79])).
% 0.55/0.77 tff(2323,plain,
% 0.55/0.77 (a_1311 = store(a_1307, i2, e_1308)),
% 0.55/0.77 inference(transitivity,[status(thm)],[75, 2322, 2320, 2318, 414, 2317, 2316, 2310, 2308])).
% 0.55/0.77 tff(2324,plain,
% 0.55/0.77 (select(a_1311, i3) = select(store(a_1307, i2, e_1308), i3)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2323])).
% 0.55/0.77 tff(2325,plain,
% 0.55/0.77 (select(store(a_1307, i2, e_1308), i3) = select(a_1311, i3)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2324])).
% 0.55/0.77 tff(2326,plain,
% 0.55/0.77 (store(store(a_1263, i4, e_1264), i2, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i1, select(a_1270, i2))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2279])).
% 0.55/0.77 tff(2327,plain,
% 0.55/0.77 (store(store(a_1269, i0, e_1268), i2, select(store(a_1269, i0, e_1268), i2)) = store(store(a_1263, i4, e_1264), i2, select(a_1270, i2))),
% 0.55/0.77 inference(symmetry,[status(thm)],[2277])).
% 0.55/0.77 tff(2328,plain,
% 0.55/0.77 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9))),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[2164, 2305])).
% 0.55/0.77 tff(2329,plain,
% 0.55/0.77 (i7 = i1),
% 0.55/0.77 inference(unit_resolution,[status(thm)],[2221, 2328, 2292, 1759, 1877, 1900, 1895])).
% 0.55/0.77 tff(2330,plain,
% 0.55/0.77 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[123, 2329, 130])).
% 0.55/0.77 tff(2331,plain,
% 0.55/0.77 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1259, i7, e_1260)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2330])).
% 0.55/0.77 tff(2332,plain,
% 0.55/0.77 (store(a_1257, i9, e_1258) = a_1261),
% 0.55/0.77 inference(transitivity,[status(thm)],[1112, 2331, 453])).
% 0.55/0.77 tff(2333,plain,
% 0.55/0.77 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2332, 434])).
% 0.55/0.77 tff(2334,plain,
% 0.55/0.77 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.55/0.77 inference(symmetry,[status(thm)],[1900])).
% 0.55/0.77 tff(2335,plain,
% 0.55/0.77 (a_1284 = a_1247),
% 0.55/0.77 inference(transitivity,[status(thm)],[563, 825, 2334, 521, 506])).
% 0.55/0.77 tff(2336,plain,
% 0.55/0.77 (select(a_1284, i6) = select(a_1247, i6)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2335])).
% 0.55/0.77 tff(2337,plain,
% 0.55/0.77 (e_1295 = e_1258),
% 0.55/0.77 inference(transitivity,[status(thm)],[230, 1993, 1981, 1973, 498, 501, 2336, 479, 476, 1972, 1970, 1967, 462])).
% 0.55/0.77 tff(2338,plain,
% 0.55/0.77 (select(a_1288, i8) = select(a_1247, i6)),
% 0.55/0.77 inference(transitivity,[status(thm)],[498, 501, 2336])).
% 0.55/0.77 tff(2339,plain,
% 0.55/0.77 (e_1248 = e_1285),
% 0.55/0.77 inference(transitivity,[status(thm)],[620, 580, 1895, 583, 586, 2003, 2002, 2001])).
% 0.55/0.77 tff(2340,plain,
% 0.55/0.77 (a_1247 = a_1284),
% 0.55/0.77 inference(transitivity,[status(thm)],[505, 1736, 1900, 2006, 2005])).
% 0.55/0.77 tff(2341,plain,
% 0.55/0.77 (store(a_1247, i6, e_1248) = store(a_1284, i6, e_1285)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2340, 2339])).
% 0.55/0.77 tff(2342,plain,
% 0.55/0.77 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2341])).
% 0.55/0.77 tff(2343,plain,
% 0.55/0.77 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2342, 2338])).
% 0.55/0.77 tff(2344,plain,
% 0.55/0.77 (store(a_1288, i5, e_1289) = store(a_1251, i8, e_1252)),
% 0.55/0.77 inference(transitivity,[status(thm)],[1979, 1975, 2012, 2343, 1999, 1957, 1956])).
% 0.55/0.77 tff(2345,plain,
% 0.55/0.77 (select(store(a_1288, i5, e_1289), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2344])).
% 0.55/0.77 tff(2346,plain,
% 0.55/0.77 (select(a_1292, i9) = select(a_1255, i9)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2015, 2345, 2171])).
% 0.55/0.77 tff(2347,plain,
% 0.55/0.77 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2344, 2346])).
% 0.55/0.77 tff(2348,plain,
% 0.55/0.77 (a_1294 = a_1257),
% 0.55/0.77 inference(transitivity,[status(thm)],[665, 2018, 2347, 2170, 637])).
% 0.55/0.77 tff(2349,plain,
% 0.55/0.77 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2348, 2337])).
% 0.55/0.77 tff(2350,plain,
% 0.55/0.77 (a_1296 = a_1259),
% 0.55/0.77 inference(transitivity,[status(thm)],[210, 2349, 124])).
% 0.55/0.77 tff(2351,plain,
% 0.55/0.77 (select(a_1296, i7) = select(a_1259, i7)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2350])).
% 0.55/0.77 tff(2352,plain,
% 0.55/0.77 (e_1297 = select(a_1259, i7)),
% 0.55/0.77 inference(transitivity,[status(thm)],[206, 2351])).
% 0.55/0.77 tff(2353,plain,
% 0.55/0.77 (a_1296 = store(a_1257, i9, e_1258)),
% 0.55/0.77 inference(transitivity,[status(thm)],[210, 2349])).
% 0.55/0.77 tff(2354,plain,
% 0.55/0.77 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2353, 2352])).
% 0.55/0.77 tff(2355,plain,
% 0.55/0.77 (select(a_1259, i7) = select(a_1296, i7)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2351])).
% 0.55/0.77 tff(2356,plain,
% 0.55/0.77 (i1 = i7),
% 0.55/0.77 inference(symmetry,[status(thm)],[2329])).
% 0.55/0.77 tff(2357,plain,
% 0.55/0.77 (select(a_1259, i1) = select(a_1259, i7)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2356])).
% 0.55/0.77 tff(2358,plain,
% 0.55/0.77 (select(a_1296, i1) = select(a_1259, i1)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2350])).
% 0.55/0.77 tff(2359,plain,
% 0.55/0.77 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.55/0.77 inference(transitivity,[status(thm)],[198, 2358, 2357, 2355, 1199, 1196])).
% 0.55/0.77 tff(2360,plain,
% 0.55/0.77 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.55/0.77 inference(monotonicity,[status(thm)],[202, 2329, 2359])).
% 0.55/0.77 tff(2361,plain,
% 0.55/0.77 (store(a_1307, i2, e_1308) = store(a_1270, i1, e_1271)),
% 0.55/0.77 inference(transitivity,[status(thm)],[2085, 2309, 2315, 394, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2360, 1206, 2354, 2333, 1921, 1918, 1912, 116, 730, 720, 109, 729, 308, 2327, 2326, 2293])).
% 0.55/0.77 tff(2362,plain,
% 0.55/0.77 (select(store(a_1307, i2, e_1308), i3) = select(store(a_1270, i1, e_1271), i3)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2361])).
% 0.55/0.77 tff(2363,plain,
% 0.55/0.77 (select(store(a_1270, i1, e_1271), i3) = select(store(a_1307, i2, e_1308), i3)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2362])).
% 0.55/0.77 tff(2364,plain,
% 0.55/0.77 (store(a_1270, i1, e_1271) = a_1274),
% 0.55/0.77 inference(transitivity,[status(thm)],[2281, 2279, 2277, 307, 2287, 2286, 2284, 154])).
% 0.55/0.77 tff(2365,plain,
% 0.55/0.77 (select(store(a_1270, i1, e_1271), i3) = select(a_1274, i3)),
% 0.55/0.77 inference(monotonicity,[status(thm)],[2364])).
% 0.55/0.77 tff(2366,plain,
% 0.55/0.77 (select(a_1274, i3) = select(store(a_1270, i1, e_1271), i3)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2365])).
% 0.55/0.77 tff(2367,plain,
% 0.55/0.77 (e_1277 = e_1314),
% 0.55/0.77 inference(transitivity,[status(thm)],[149, 2366, 2363, 2325, 72])).
% 0.55/0.77 tff(2368,plain,
% 0.55/0.77 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1309, i1, e_1310)),
% 0.55/0.77 inference(symmetry,[status(thm)],[2322])).
% 0.55/0.77 tff(2369,plain,
% 0.55/0.77 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i2)) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2320])).
% 0.61/0.78 tff(2370,plain,
% 0.61/0.78 (store(store(a_1306, i0, e_1305), i2, select(store(a_1306, i0, e_1305), i2)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i2))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2318])).
% 0.61/0.78 tff(2371,plain,
% 0.61/0.78 (store(a_1307, i2, e_1308) = a_1311),
% 0.61/0.78 inference(transitivity,[status(thm)],[2085, 2309, 2315, 394, 415, 2370, 2369, 2368, 76])).
% 0.61/0.78 tff(2372,plain,
% 0.61/0.78 (store(store(a_1307, i2, e_1308), i3, select(a_1311, i0)) = store(a_1311, i3, e_1312)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2371, 749])).
% 0.61/0.78 tff(2373,plain,
% 0.61/0.78 (a_1311 = store(a_1300, i4, e_1301)),
% 0.61/0.78 inference(transitivity,[status(thm)],[75, 2322, 2320, 2318, 414, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2068, 2067])).
% 0.61/0.78 tff(2374,plain,
% 0.61/0.78 (select(a_1311, i0) = select(store(a_1300, i4, e_1301), i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2373])).
% 0.61/0.78 tff(2375,plain,
% 0.61/0.78 (select(store(a_1300, i4, e_1301), i0) = select(a_1311, i0)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2374])).
% 0.61/0.78 tff(2376,plain,
% 0.61/0.78 (store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)) = store(a_1306, i0, e_1305)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[170, 166])).
% 0.61/0.78 tff(2377,plain,
% 0.61/0.78 (store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)) = store(a_1300, i4, e_1301)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2376, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2068, 2067])).
% 0.61/0.78 tff(2378,plain,
% 0.61/0.78 (select(store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)), i0) = select(store(a_1300, i4, e_1301), i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2377])).
% 0.61/0.78 tff(2379,plain,
% 0.61/0.78 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)), i0) = select(a_1304, i0))),
% 0.61/0.78 inference(quant_inst,[status(thm)],[])).
% 0.61/0.78 tff(2380,plain,
% 0.61/0.78 (select(store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)), i0) = select(a_1304, i0)),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2379, 139])).
% 0.61/0.78 tff(2381,plain,
% 0.61/0.78 (select(a_1304, i0) = select(store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)), i0)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2380])).
% 0.61/0.78 tff(2382,plain,
% 0.61/0.78 (select(a_1304, i0) = select(a_1311, i0)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2381, 2378, 2375])).
% 0.61/0.78 tff(2383,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1298, i7, e_1299)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2360])).
% 0.61/0.78 tff(2384,plain,
% 0.61/0.78 (store(a_1296, i1, e_1297) = store(a_1307, i2, e_1308)),
% 0.61/0.78 inference(transitivity,[status(thm)],[1207, 2383, 2313, 2312, 2311, 187, 1258, 1236, 180, 1257, 2317, 2316, 2310, 2308])).
% 0.61/0.78 tff(2385,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i3, select(a_1304, i0)) = store(store(a_1307, i2, e_1308), i3, select(a_1311, i0))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2384, 2382])).
% 0.61/0.78 tff(2386,plain,
% 0.61/0.78 (select(store(a_1300, i4, e_1301), i0) = select(store(store(a_1304, i0, e_1305), i0, select(a_1304, i0)), i0)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2378])).
% 0.61/0.78 tff(2387,plain,
% 0.61/0.78 (store(a_1300, i4, e_1301) = store(a_1263, i4, e_1264)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2064, 2060, 2360, 1206, 2354, 2333, 1925, 1924])).
% 0.61/0.78 tff(2388,plain,
% 0.61/0.78 (select(store(a_1300, i4, e_1301), i0) = select(store(a_1263, i4, e_1264), i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2387])).
% 0.61/0.78 tff(2389,plain,
% 0.61/0.78 (select(store(a_1263, i4, e_1264), i0) = select(store(a_1300, i4, e_1301), i0)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2388])).
% 0.61/0.78 tff(2390,plain,
% 0.61/0.78 (a_1274 = store(a_1263, i4, e_1264)),
% 0.61/0.78 inference(transitivity,[status(thm)],[153, 2283, 2285, 310, 722, 108, 719, 718, 115, 1911, 1917, 1920, 1925, 1924])).
% 0.61/0.78 tff(2391,plain,
% 0.61/0.78 (select(a_1274, i0) = select(store(a_1263, i4, e_1264), i0)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2390])).
% 0.61/0.78 tff(2392,plain,
% 0.61/0.78 (select(a_1274, i0) = select(a_1304, i0)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2391, 2389, 2386, 2380])).
% 0.61/0.78 tff(2393,plain,
% 0.61/0.78 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2354])).
% 0.61/0.78 tff(2394,plain,
% 0.61/0.78 (store(a_1261, i1, e_1262) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2333])).
% 0.61/0.78 tff(2395,plain,
% 0.61/0.78 (store(a_1270, i1, e_1271) = store(a_1296, i1, e_1297)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2281, 2279, 2277, 307, 722, 108, 719, 718, 115, 1911, 1917, 1920, 2394, 2393])).
% 0.61/0.78 tff(2396,plain,
% 0.61/0.78 (store(store(a_1270, i1, e_1271), i3, select(a_1274, i0)) = store(store(a_1296, i1, e_1297), i3, select(a_1304, i0))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2395, 2392])).
% 0.61/0.78 tff(2397,plain,
% 0.61/0.78 (a_1274 = store(a_1270, i1, e_1271)),
% 0.61/0.78 inference(transitivity,[status(thm)],[153, 2283, 2285, 310, 308, 2327, 2326, 2293])).
% 0.61/0.78 tff(2398,plain,
% 0.61/0.78 (store(a_1274, i3, e_1275) = store(store(a_1270, i1, e_1271), i3, select(a_1274, i0))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2397, 753])).
% 0.61/0.78 tff(2399,plain,
% 0.61/0.78 (a_1276 = a_1313),
% 0.61/0.78 inference(transitivity,[status(thm)],[758, 2398, 2396, 2385, 2372, 745])).
% 0.61/0.78 tff(2400,plain,
% 0.61/0.78 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2399, 2367])).
% 0.61/0.78 tff(2401,plain,
% 0.61/0.78 (a_1278 = a_1315),
% 0.61/0.78 inference(transitivity,[status(thm)],[145, 2400, 45])).
% 0.61/0.78 tff(2402,plain,
% 0.61/0.78 (select(a_1278, i9) = select(a_1315, i9)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2401])).
% 0.61/0.78 tff(2403,plain,
% 0.61/0.78 (select(a_1315, i9) = select(a_1278, i9)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2402])).
% 0.61/0.78 tff(2404,plain,
% 0.61/0.78 (select(a_1315, i9) = e_1281),
% 0.61/0.78 inference(transitivity,[status(thm)],[2403, 68])).
% 0.61/0.78 tff(2405,plain,
% 0.61/0.78 (select(a_1278, i5) = select(a_1315, i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2401])).
% 0.61/0.78 tff(2406,plain,
% 0.61/0.78 (select(a_1315, i5) = select(a_1278, i5)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2405])).
% 0.61/0.78 tff(2407,plain,
% 0.61/0.78 (select(a_1315, i5) = e_1279),
% 0.61/0.78 inference(transitivity,[status(thm)],[2406, 801])).
% 0.61/0.78 tff(2408,plain,
% 0.61/0.78 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2400])).
% 0.61/0.78 tff(2409,plain,
% 0.61/0.78 (store(a_1313, i0, e_1314) = a_1278),
% 0.61/0.78 inference(transitivity,[status(thm)],[2408, 146])).
% 0.61/0.78 tff(2410,plain,
% 0.61/0.78 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1278, i9, e_1279)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2409, 2407])).
% 0.61/0.78 tff(2411,plain,
% 0.61/0.78 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = a_1280),
% 0.61/0.78 inference(transitivity,[status(thm)],[2410, 768])).
% 0.61/0.78 tff(2412,plain,
% 0.61/0.78 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(a_1280, i5, e_1281)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2411, 2404])).
% 0.61/0.78 tff(2413,plain,
% 0.61/0.78 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2412])).
% 0.61/0.78 tff(2414,plain,
% 0.61/0.78 (a_1282 = a_1319),
% 0.61/0.78 inference(transitivity,[status(thm)],[782, 2413, 2307, 1890, 36])).
% 0.61/0.78 tff(2415,plain,
% 0.61/0.78 ($false),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[789, 2414])).
% 0.61/0.78 tff(2416,plain,((i7 = i5) | (~(i8 = i4)) | (~(i8 = i5))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.78 tff(2417,plain,
% 0.61/0.78 (i7 = i5),
% 0.61/0.78 inference(unit_resolution,[status(thm)],[2416, 1759, 1877])).
% 0.61/0.78 tff(2418,plain,
% 0.61/0.78 (select(a_1296, i7) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[210, 2417])).
% 0.61/0.78 tff(2419,plain,
% 0.61/0.78 (select(store(a_1294, i9, e_1295), i5) = select(a_1296, i7)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2418])).
% 0.61/0.78 tff(2420,plain,
% 0.61/0.78 (i5 = i7),
% 0.61/0.78 inference(symmetry,[status(thm)],[2417])).
% 0.61/0.78 tff(2421,plain,
% 0.61/0.78 (i8 = i7),
% 0.61/0.78 inference(transitivity,[status(thm)],[1877, 2420])).
% 0.61/0.78 tff(2422,plain,
% 0.61/0.78 (store(a1, i8, select(a1, i8)) = store(a1, i7, e_1246)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2421, 510])).
% 0.61/0.78 tff(2423,plain,
% 0.61/0.78 (store(a1, i8, e_1244) = store(a1, i7, select(a1, i7))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2421, 517])).
% 0.61/0.78 tff(2424,plain,
% 0.61/0.78 (select(a1, i8) = select(a1, i7)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2421])).
% 0.61/0.78 tff(2425,plain,
% 0.61/0.78 (e_1246 = select(store(a1, i8, e_1244), i8)),
% 0.61/0.78 inference(transitivity,[status(thm)],[509, 2424, 587, 584])).
% 0.61/0.78 tff(2426,plain,
% 0.61/0.78 (i7 = i8),
% 0.61/0.78 inference(transitivity,[status(thm)],[2417, 1915])).
% 0.61/0.78 tff(2427,plain,
% 0.61/0.78 (store(a_1245, i7, e_1246) = store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[513, 2426, 2425])).
% 0.61/0.78 tff(2428,plain,
% 0.61/0.78 (a_1247 = store(a1, i7, e_1246)),
% 0.61/0.78 inference(transitivity,[status(thm)],[505, 2427, 1745, 2423, 540, 572, 2422])).
% 0.61/0.78 tff(2429,plain,
% 0.61/0.78 (select(a_1247, i6) = select(store(a1, i7, e_1246), i6)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2428])).
% 0.61/0.78 tff(2430,plain,
% 0.61/0.78 (select(store(a1, i7, e_1246), i6) = select(a_1247, i6)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2429])).
% 0.61/0.78 tff(2431,plain,
% 0.61/0.78 (store(a1, i7, e_1246) = store(a1, i8, select(a1, i8))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2422])).
% 0.61/0.78 tff(2432,plain,
% 0.61/0.78 (a_1283 = a1),
% 0.61/0.78 inference(transitivity,[status(thm)],[559, 2431, 543])).
% 0.61/0.78 tff(2433,plain,
% 0.61/0.78 (store(a_1283, i8, e_1244) = store(a1, i8, e_1244)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2432])).
% 0.61/0.78 tff(2434,plain,
% 0.61/0.78 (store(a1, i8, e_1244) = store(a_1283, i8, e_1244)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2433])).
% 0.61/0.78 tff(2435,plain,
% 0.61/0.78 (store(a1, i7, select(a1, i7)) = store(a1, i8, e_1244)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2423])).
% 0.61/0.78 tff(2436,plain,
% 0.61/0.78 (store(a1, i7, e_1246) = a_1284),
% 0.61/0.78 inference(transitivity,[status(thm)],[2431, 543, 541, 2435, 2434, 2005])).
% 0.61/0.78 tff(2437,plain,
% 0.61/0.78 (select(store(a1, i7, e_1246), i6) = select(a_1284, i6)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2436])).
% 0.61/0.78 tff(2438,plain,
% 0.61/0.78 (select(a_1284, i6) = select(store(a1, i7, e_1246), i6)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2437])).
% 0.61/0.78 tff(2439,plain,
% 0.61/0.78 (e_1295 = e_1258),
% 0.61/0.78 inference(transitivity,[status(thm)],[230, 1993, 1981, 1973, 498, 501, 2438, 2430, 479, 476, 1972, 1970, 1967, 462])).
% 0.61/0.78 tff(2440,plain,
% 0.61/0.78 (select(a_1288, i8) = select(a_1247, i6)),
% 0.61/0.78 inference(transitivity,[status(thm)],[498, 501, 2438, 2430])).
% 0.61/0.78 tff(2441,plain,
% 0.61/0.78 (select(a_1247, i8) = select(store(store(a1, i8, e_1244), i7, select(a1, i8)), i7)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[579, 2421])).
% 0.61/0.78 tff(2442,plain,
% 0.61/0.78 (e_1248 = select(a_1284, i8)),
% 0.61/0.78 inference(transitivity,[status(thm)],[620, 2441, 597, 2424, 2003, 2002])).
% 0.61/0.78 tff(2443,plain,
% 0.61/0.78 (store(a_1247, i6, e_1248) = store(store(a1, i7, e_1246), i6, select(a_1284, i8))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2428, 2442])).
% 0.61/0.78 tff(2444,plain,
% 0.61/0.78 (store(store(a1, i7, e_1246), i6, select(a_1284, i8)) = store(a_1247, i6, e_1248)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2443])).
% 0.61/0.78 tff(2445,plain,
% 0.61/0.78 (store(store(a1, i7, e_1246), i6, select(a_1284, i8)) = store(a_1284, i6, e_1285)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2436, 2001])).
% 0.61/0.78 tff(2446,plain,
% 0.61/0.78 (store(a_1284, i6, e_1285) = store(store(a1, i7, e_1246), i6, select(a_1284, i8))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2445])).
% 0.61/0.78 tff(2447,plain,
% 0.61/0.78 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2446, 2444])).
% 0.61/0.78 tff(2448,plain,
% 0.61/0.78 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2447, 2440])).
% 0.61/0.78 tff(2449,plain,
% 0.61/0.78 (store(a_1288, i5, e_1289) = store(a_1251, i8, e_1252)),
% 0.61/0.78 inference(transitivity,[status(thm)],[1979, 1975, 2012, 2448, 1999, 1957, 1956])).
% 0.61/0.78 tff(2450,plain,
% 0.61/0.78 (select(store(a_1288, i5, e_1289), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2449])).
% 0.61/0.78 tff(2451,plain,
% 0.61/0.78 (select(a_1292, i9) = select(a_1255, i9)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2015, 2450, 2171])).
% 0.61/0.78 tff(2452,plain,
% 0.61/0.78 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2449, 2451])).
% 0.61/0.78 tff(2453,plain,
% 0.61/0.78 (a_1294 = a_1257),
% 0.61/0.78 inference(transitivity,[status(thm)],[665, 2018, 2452, 2170, 637])).
% 0.61/0.78 tff(2454,plain,
% 0.61/0.78 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2453, 2439])).
% 0.61/0.78 tff(2455,plain,
% 0.61/0.78 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2454])).
% 0.61/0.78 tff(2456,plain,
% 0.61/0.78 (select(store(a_1257, i9, e_1258), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2455])).
% 0.61/0.78 tff(2457,plain,
% 0.61/0.78 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i7)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[124, 2420])).
% 0.61/0.78 tff(2458,plain,
% 0.61/0.78 (select(a_1259, i7) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2457])).
% 0.61/0.78 tff(2459,plain,
% 0.61/0.78 (e_1273 = select(a_1296, i7)),
% 0.61/0.78 inference(transitivity,[status(thm)],[157, 1944, 1660, 2458, 2456, 2419])).
% 0.61/0.78 tff(2460,plain,
% 0.61/0.78 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i2))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2319, 303])).
% 0.61/0.78 tff(2461,plain,
% 0.61/0.78 (select(store(a_1300, i4, e_1301), i2) = select(a_1307, i2)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2077])).
% 0.61/0.78 tff(2462,plain,
% 0.61/0.78 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7) = select(a_1300, i5)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[695, 2417])).
% 0.61/0.78 tff(2463,plain,
% 0.61/0.78 (select(a_1300, i5) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i7)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2462])).
% 0.61/0.78 tff(2464,plain,
% 0.61/0.78 (select(a_1300, i5) = e_1299),
% 0.61/0.78 inference(transitivity,[status(thm)],[2463, 991, 199])).
% 0.61/0.78 tff(2465,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(a_1298, i7, e_1299)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[203, 2420, 2464])).
% 0.61/0.78 tff(2466,plain,
% 0.61/0.78 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2454])).
% 0.61/0.78 tff(2467,plain,
% 0.61/0.78 (a_1259 = a_1296),
% 0.61/0.78 inference(transitivity,[status(thm)],[123, 2466, 211])).
% 0.61/0.78 tff(2468,plain,
% 0.61/0.78 (select(a_1259, i1) = select(a_1296, i1)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2467])).
% 0.61/0.78 tff(2469,plain,
% 0.61/0.78 (select(a_1259, i1) = select(a_1300, i5)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2468, 1645, 2462])).
% 0.61/0.78 tff(2470,plain,
% 0.61/0.78 (select(a_1259, i7) = e_1297),
% 0.61/0.78 inference(transitivity,[status(thm)],[2458, 2456, 2419, 207])).
% 0.61/0.78 tff(2471,plain,
% 0.61/0.78 (store(a_1257, i9, e_1258) = a_1296),
% 0.61/0.78 inference(transitivity,[status(thm)],[2466, 211])).
% 0.61/0.78 tff(2472,plain,
% 0.61/0.78 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2471, 2470])).
% 0.61/0.78 tff(2473,plain,
% 0.61/0.78 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2472, 2417, 2469])).
% 0.61/0.78 tff(2474,plain,
% 0.61/0.78 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.61/0.78 inference(transitivity,[status(thm)],[1909, 1904, 1810, 445, 2473, 2465, 2068, 2067])).
% 0.61/0.78 tff(2475,plain,
% 0.61/0.78 (select(store(a_1263, i4, e_1264), i2) = select(store(a_1300, i4, e_1301), i2)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2474])).
% 0.61/0.78 tff(2476,plain,
% 0.61/0.78 (select(a_1270, i2) = select(a_1307, i2)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2299, 2475, 2461])).
% 0.61/0.78 tff(2477,plain,
% 0.61/0.78 (store(a_1263, i4, e_1264) = store(a_1306, i0, e_1305)),
% 0.61/0.78 inference(transitivity,[status(thm)],[1909, 1904, 1810, 445, 2473, 2465, 2313, 2312, 2311, 187, 1258, 1236, 180, 1257])).
% 0.61/0.78 tff(2478,plain,
% 0.61/0.78 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i2)) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2477, 2476])).
% 0.61/0.78 tff(2479,plain,
% 0.61/0.78 (a_1272 = store(store(a_1296, i1, e_1297), i7, select(a_1296, i1))),
% 0.61/0.78 inference(transitivity,[status(thm)],[270, 2281, 2478, 2460, 2318, 414, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 992])).
% 0.61/0.78 tff(2480,plain,
% 0.61/0.78 (store(a_1272, i2, e_1273) = store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2479, 291, 2459])).
% 0.61/0.78 tff(2481,plain,
% 0.61/0.78 (store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(a_1272, i2, e_1273)),
% 0.61/0.78 inference(symmetry,[status(thm)],[2480])).
% 0.61/0.78 tff(2482,assumption,(store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))), introduced(assumption)).
% 0.61/0.78 tff(2483,plain,
% 0.61/0.78 (store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1)) = store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2482])).
% 0.61/0.78 tff(2484,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[1635])).
% 0.61/0.78 tff(2485,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)) = a_1298),
% 0.61/0.78 inference(transitivity,[status(thm)],[2484, 1206, 203])).
% 0.61/0.78 tff(2486,plain,
% 0.61/0.78 (store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1)) = store(a_1298, i7, e_1299)),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2485, 199])).
% 0.61/0.78 tff(2487,plain,
% 0.61/0.78 (store(a_1298, i7, e_1299) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2486])).
% 0.61/0.78 tff(2488,plain,
% 0.61/0.78 (select(a_1270, i1) = select(a_1296, i7)),
% 0.61/0.78 inference(transitivity,[status(thm)],[1944, 1660, 2458, 2456, 2419])).
% 0.61/0.78 tff(2489,plain,
% 0.61/0.78 (store(a_1269, i0, e_1268) = store(store(a_1296, i1, e_1297), i7, select(a_1296, i1))),
% 0.61/0.78 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1911, 1917, 1920, 1810, 445, 2473, 2465, 992])).
% 0.61/0.78 tff(2490,plain,
% 0.61/0.78 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2489, 291, 2488])).
% 0.61/0.78 tff(2491,assumption,(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)), introduced(assumption)).
% 0.61/0.78 tff(2492,plain,
% 0.61/0.78 (select(a_1307, i1) = select(a_1270, i1)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2081, 2080, 2491, 1195, 1198, 2418, 2455, 2457, 1661, 1943])).
% 0.61/0.78 tff(2493,plain,
% 0.61/0.78 (store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.61/0.78 inference(symmetry,[status(thm)],[1810])).
% 0.61/0.78 tff(2494,plain,
% 0.61/0.78 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2473])).
% 0.61/0.78 tff(2495,plain,
% 0.61/0.78 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2465])).
% 0.61/0.78 tff(2496,plain,
% 0.61/0.78 (store(a_1300, i4, e_1301) = store(a_1269, i0, e_1268)),
% 0.61/0.78 inference(transitivity,[status(thm)],[2064, 2060, 2495, 2494, 458, 2493, 1921, 1918, 1912, 116, 730, 720, 109, 729])).
% 0.61/0.78 tff(2497,plain,
% 0.61/0.78 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2496, 2492])).
% 0.61/0.78 tff(2498,plain,
% 0.61/0.78 (a_1309 = store(a_1306, i0, e_1305)),
% 0.61/0.78 inference(transitivity,[status(thm)],[383, 2085, 2497, 2490, 2482, 2486, 2313, 2312, 2311, 187, 1258, 1236, 180, 1257])).
% 0.61/0.78 tff(2499,plain,
% 0.61/0.78 (store(a_1309, i1, e_1310) = store(store(a_1306, i0, e_1305), i1, select(a_1307, i2))),
% 0.61/0.78 inference(monotonicity,[status(thm)],[2498, 79])).
% 0.61/0.78 tff(2500,plain,
% 0.61/0.78 (select(a_1270, i2) = e_1310),
% 0.61/0.78 inference(transitivity,[status(thm)],[2299, 2475, 2461, 80])).
% 0.61/0.78 tff(2501,plain,
% 0.61/0.78 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.61/0.78 inference(symmetry,[status(thm)],[2497])).
% 0.61/0.78 tff(2502,plain,
% 0.61/0.78 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.61/0.78 inference(transitivity,[status(thm)],[2501, 2308, 384])).
% 0.61/0.78 tff(2503,plain,
% 0.61/0.78 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2502, 2500])).
% 0.61/0.79 tff(2504,plain,
% 0.61/0.79 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.61/0.79 inference(transitivity,[status(thm)],[2503, 2499, 2460, 2318, 414, 1238, 179, 1235, 1234, 186, 2075, 2073, 2070, 2487, 2483, 2481, 279])).
% 0.61/0.79 tff(2505,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[286, 2504])).
% 0.61/0.79 tff(2506,plain,((store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))) | (~(store(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1, select(a_1296, i7)) = store(store(store(a_1296, i1, e_1297), i1, select(a_1296, i7)), i7, select(a_1296, i1)))) | (~(i8 = i5)) | (~(store(store(store(a_1257, i9, e_1258), i7, select(a_1259, i1)), i1, select(a_1259, i7)) = store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)))) | (~(i8 = i4)) | (~(select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1296, i1, e_1297), i1)))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2507,plain,
% 0.61/0.79 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2506, 1887, 1877, 251, 1759, 1882])).
% 0.61/0.79 tff(2508,plain,
% 0.61/0.79 (select(store(a_1263, i4, e_1264), i2) = select(a_1270, i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2299])).
% 0.61/0.79 tff(2509,plain,
% 0.61/0.79 (select(a_1292, i9) = select(a_1255, i9)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2015, 2450, 1998])).
% 0.61/0.79 tff(2510,plain,
% 0.61/0.79 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2449, 2509])).
% 0.61/0.79 tff(2511,plain,
% 0.61/0.79 (a_1294 = a_1257),
% 0.61/0.79 inference(transitivity,[status(thm)],[665, 2018, 2510, 1996, 637])).
% 0.61/0.79 tff(2512,plain,
% 0.61/0.79 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2511, 2439])).
% 0.61/0.79 tff(2513,plain,
% 0.61/0.79 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2512])).
% 0.61/0.79 tff(2514,plain,
% 0.61/0.79 (a_1259 = a_1296),
% 0.61/0.79 inference(transitivity,[status(thm)],[123, 2513, 211])).
% 0.61/0.79 tff(2515,plain,
% 0.61/0.79 (select(a_1259, i1) = select(a_1296, i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2514])).
% 0.61/0.79 tff(2516,plain,
% 0.61/0.79 (select(a_1259, i1) = select(a_1300, i5)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2515, 1645, 2462])).
% 0.61/0.79 tff(2517,plain,
% 0.61/0.79 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2512])).
% 0.61/0.79 tff(2518,plain,
% 0.61/0.79 (select(store(a_1257, i9, e_1258), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2517])).
% 0.61/0.79 tff(2519,plain,
% 0.61/0.79 (select(a_1259, i7) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[123, 2417])).
% 0.61/0.79 tff(2520,plain,
% 0.61/0.79 (select(a_1259, i7) = e_1297),
% 0.61/0.79 inference(transitivity,[status(thm)],[2519, 2518, 2419, 207])).
% 0.61/0.79 tff(2521,plain,
% 0.61/0.79 (store(a_1257, i9, e_1258) = a_1296),
% 0.61/0.79 inference(transitivity,[status(thm)],[2513, 211])).
% 0.61/0.79 tff(2522,plain,
% 0.61/0.79 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2521, 2520])).
% 0.61/0.79 tff(2523,plain,
% 0.61/0.79 (store(store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)), i7, select(a_1259, i1)) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2522, 2417, 2516])).
% 0.61/0.79 tff(2524,plain,
% 0.61/0.79 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.61/0.79 inference(transitivity,[status(thm)],[1909, 1904, 1810, 251, 2523, 2465, 2068, 2067])).
% 0.61/0.79 tff(2525,plain,
% 0.61/0.79 (select(store(a_1263, i4, e_1264), i2) = select(store(a_1300, i4, e_1301), i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2524])).
% 0.61/0.79 tff(2526,plain,
% 0.61/0.79 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2525])).
% 0.61/0.79 tff(2527,plain,
% 0.61/0.79 (store(a_1300, i4, e_1301) = a_1307),
% 0.61/0.79 inference(transitivity,[status(thm)],[2064, 2060, 2313, 2312, 2311, 187, 1258, 1236, 180, 1257, 162])).
% 0.61/0.79 tff(2528,plain,
% 0.61/0.79 (select(store(a_1300, i4, e_1301), i2) = select(a_1307, i2)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2527])).
% 0.61/0.79 tff(2529,plain,
% 0.61/0.79 (select(a_1307, i2) = select(store(a_1300, i4, e_1301), i2)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2528])).
% 0.61/0.79 tff(2530,plain,
% 0.61/0.79 (e_1310 = select(a_1270, i2)),
% 0.61/0.79 inference(transitivity,[status(thm)],[79, 2529, 2526, 2508])).
% 0.61/0.79 tff(2531,plain,
% 0.61/0.79 (select(store(a_1300, i4, e_1301), i1) = select(a_1307, i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2081])).
% 0.61/0.79 tff(2532,plain,
% 0.61/0.79 (select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1) = select(store(a_1300, i4, e_1301), i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2080])).
% 0.61/0.79 tff(2533,plain,
% 0.61/0.79 (select(store(a_1296, i1, e_1297), i1) = select(store(store(a_1296, i1, e_1297), i7, select(a_1296, i1)), i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[1882])).
% 0.61/0.79 tff(2534,plain,
% 0.61/0.79 (a_1270 = store(store(a_1259, i7, e_1260), i1, select(a_1259, i7))),
% 0.61/0.79 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 1911, 1917, 1920, 1655])).
% 0.61/0.79 tff(2535,plain,
% 0.61/0.79 (select(a_1270, i1) = select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2534])).
% 0.61/0.79 tff(2536,plain,
% 0.61/0.79 (select(a_1270, i1) = select(a_1307, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2518, 2419, 1199, 1196, 2533, 2532, 2531])).
% 0.61/0.79 tff(2537,plain,
% 0.61/0.79 (store(a_1269, i0, e_1268) = store(a_1300, i4, e_1301)),
% 0.61/0.79 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1911, 1917, 1920, 1810, 251, 2523, 2465, 2068, 2067])).
% 0.61/0.79 tff(2538,plain,
% 0.61/0.79 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2537, 2536])).
% 0.61/0.79 tff(2539,plain,
% 0.61/0.79 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2538])).
% 0.61/0.79 tff(2540,plain,
% 0.61/0.79 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(a_1307, i2, e_1308)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2527, 388])).
% 0.61/0.79 tff(2541,plain,
% 0.61/0.79 (store(a_1307, i2, e_1308) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2540])).
% 0.61/0.79 tff(2542,plain,
% 0.61/0.79 (a_1309 = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.61/0.79 inference(transitivity,[status(thm)],[383, 2541, 2539])).
% 0.61/0.79 tff(2543,plain,
% 0.61/0.79 (store(a_1309, i1, e_1310) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2542, 2530])).
% 0.61/0.79 tff(2544,plain,
% 0.61/0.79 (a_1311 = a_1274),
% 0.61/0.79 inference(transitivity,[status(thm)],[75, 2543, 2507, 278, 154])).
% 0.61/0.79 tff(2545,plain,
% 0.61/0.79 (select(a_1311, i3) = select(a_1274, i3)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2544])).
% 0.61/0.79 tff(2546,plain,
% 0.61/0.79 (e_1314 = e_1277),
% 0.61/0.79 inference(transitivity,[status(thm)],[71, 2545, 150])).
% 0.61/0.79 tff(2547,plain,
% 0.61/0.79 (select(a_1311, i0) = select(a_1274, i0)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2544])).
% 0.61/0.79 tff(2548,plain,
% 0.61/0.79 (e_1312 = e_1275),
% 0.61/0.79 inference(transitivity,[status(thm)],[748, 2547, 1689])).
% 0.61/0.79 tff(2549,plain,
% 0.61/0.79 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2544, 2548])).
% 0.61/0.79 tff(2550,plain,
% 0.61/0.79 (a_1313 = a_1276),
% 0.61/0.79 inference(transitivity,[status(thm)],[744, 2549, 1688])).
% 0.61/0.79 tff(2551,plain,
% 0.61/0.79 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2550, 2546])).
% 0.61/0.79 tff(2552,plain,
% 0.61/0.79 (a_1315 = a_1278),
% 0.61/0.79 inference(transitivity,[status(thm)],[44, 2551, 146])).
% 0.61/0.79 tff(2553,plain,
% 0.61/0.79 (select(a_1315, i9) = select(a_1278, i9)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2552])).
% 0.61/0.79 tff(2554,plain,
% 0.61/0.79 (select(a_1278, i9) = select(a_1315, i9)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2553])).
% 0.61/0.79 tff(2555,plain,
% 0.61/0.79 (select(a_1315, i5) = select(a_1278, i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2552])).
% 0.61/0.79 tff(2556,plain,
% 0.61/0.79 (select(a_1278, i5) = select(a_1315, i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2555])).
% 0.61/0.79 tff(2557,plain,
% 0.61/0.79 (select(a_1278, i5) = e_1318),
% 0.61/0.79 inference(transitivity,[status(thm)],[2556, 54])).
% 0.61/0.79 tff(2558,plain,
% 0.61/0.79 (e_1316 = select(a_1278, i9)),
% 0.61/0.79 inference(transitivity,[status(thm)],[50, 2553])).
% 0.61/0.79 tff(2559,plain,
% 0.61/0.79 (a_1315 = store(a_1276, i0, e_1277)),
% 0.61/0.79 inference(transitivity,[status(thm)],[44, 2551])).
% 0.61/0.79 tff(2560,plain,
% 0.61/0.79 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2559, 2558])).
% 0.61/0.79 tff(2561,plain,
% 0.61/0.79 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(a_1315, i5, e_1316)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2560])).
% 0.61/0.79 tff(2562,plain,
% 0.61/0.79 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = a_1317),
% 0.61/0.79 inference(transitivity,[status(thm)],[2561, 58])).
% 0.61/0.79 tff(2563,plain,
% 0.61/0.79 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2562, 2557])).
% 0.61/0.79 tff(2564,plain,
% 0.61/0.79 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2563])).
% 0.61/0.79 tff(2565,plain,
% 0.61/0.79 (a_1319 = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.79 inference(transitivity,[status(thm)],[35, 2564])).
% 0.61/0.79 tff(2566,plain,
% 0.61/0.79 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[1714, 2565])).
% 0.61/0.79 tff(2567,plain,
% 0.61/0.79 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.61/0.79 inference(transitivity,[status(thm)],[2566, 1698])).
% 0.61/0.79 tff(2568,plain,
% 0.61/0.79 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.79 inference(transitivity,[status(thm)],[2567, 1699])).
% 0.61/0.79 tff(2569,plain,
% 0.61/0.79 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2568])).
% 0.61/0.79 tff(2570,plain,
% 0.61/0.79 (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[789, 2569])).
% 0.61/0.79 tff(2571,plain,
% 0.61/0.79 (i9 = i5),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[1722, 222, 2570])).
% 0.61/0.79 tff(2572,plain,
% 0.61/0.79 (select(a_1278, i9) = select(a_1278, i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2571])).
% 0.61/0.79 tff(2573,plain,
% 0.61/0.79 (select(a_1278, i5) = select(a_1278, i9)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2572])).
% 0.61/0.79 tff(2574,plain,
% 0.61/0.79 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.61/0.79 inference(transitivity,[status(thm)],[39, 2555, 2573, 2554, 142, 133])).
% 0.61/0.79 tff(2575,plain,
% 0.61/0.79 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[57, 2571, 2574])).
% 0.61/0.79 tff(2576,plain,
% 0.61/0.79 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2575])).
% 0.61/0.79 tff(2577,plain,
% 0.61/0.79 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[145, 2571, 1475])).
% 0.61/0.79 tff(2578,plain,
% 0.61/0.79 (a_1280 = store(a_1276, i0, e_1277)),
% 0.61/0.79 inference(transitivity,[status(thm)],[767, 2577, 1472])).
% 0.61/0.79 tff(2579,plain,
% 0.61/0.79 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2578, 67])).
% 0.61/0.79 tff(2580,plain,
% 0.61/0.79 (a_1282 = a_1319),
% 0.61/0.79 inference(transitivity,[status(thm)],[782, 2579, 2561, 1048, 2576, 36])).
% 0.61/0.79 tff(2581,plain,
% 0.61/0.79 ($false),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[789, 2580])).
% 0.61/0.79 tff(2582,plain,((i7 = i1) | (~(i8 = i4)) | (~(i8 = i5))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.79 tff(2583,plain,
% 0.61/0.79 (i7 = i1),
% 0.61/0.79 inference(unit_resolution,[status(thm)],[2582, 1759, 1877])).
% 0.61/0.79 tff(2584,plain,
% 0.61/0.79 (i5 = i1),
% 0.61/0.79 inference(transitivity,[status(thm)],[2420, 2583])).
% 0.61/0.79 tff(2585,plain,
% 0.61/0.79 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i1)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[124, 2584])).
% 0.61/0.79 tff(2586,plain,
% 0.61/0.79 (e_1273 = select(a_1259, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[157, 2535, 1660, 2519, 2585])).
% 0.61/0.79 tff(2587,plain,
% 0.61/0.79 (i1 = i7),
% 0.61/0.79 inference(symmetry,[status(thm)],[2583])).
% 0.61/0.79 tff(2588,plain,
% 0.61/0.79 (i2 = i7),
% 0.61/0.79 inference(transitivity,[status(thm)],[291, 2587])).
% 0.61/0.79 tff(2589,plain,
% 0.61/0.79 (select(a_1270, i1) = e_1262),
% 0.61/0.79 inference(transitivity,[status(thm)],[2535, 1660, 434])).
% 0.61/0.79 tff(2590,plain,
% 0.61/0.79 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)) = store(a_1261, i1, e_1262)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[453, 2589])).
% 0.61/0.79 tff(2591,plain,
% 0.61/0.79 (store(a_1261, i1, e_1262) = store(store(a_1259, i7, e_1260), i1, select(a_1270, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2590])).
% 0.61/0.79 tff(2592,plain,
% 0.61/0.79 (store(a_1263, i4, e_1264) = store(store(a_1259, i7, e_1260), i1, select(a_1270, i1))),
% 0.61/0.79 inference(transitivity,[status(thm)],[1909, 1904, 2591])).
% 0.61/0.79 tff(2593,plain,
% 0.61/0.79 (store(store(a_1263, i4, e_1264), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2592])).
% 0.61/0.79 tff(2594,plain,
% 0.61/0.79 (a_1272 = store(store(a_1259, i7, e_1260), i1, select(a_1270, i2))),
% 0.61/0.79 inference(transitivity,[status(thm)],[270, 2281, 2593, 1950])).
% 0.61/0.79 tff(2595,plain,
% 0.61/0.79 (store(a_1272, i2, e_1273) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i7, select(a_1259, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2594, 2588, 2586])).
% 0.61/0.79 tff(2596,plain,
% 0.61/0.79 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i7, select(a_1259, i1)) = store(a_1272, i2, e_1273)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2595])).
% 0.61/0.79 tff(2597,plain,
% 0.61/0.79 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2583, 1620])).
% 0.61/0.79 tff(2598,plain,
% 0.61/0.79 (e_1260 = select(a_1296, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[129, 2468])).
% 0.61/0.79 tff(2599,plain,
% 0.61/0.79 (a_1259 = store(a_1294, i9, e_1295)),
% 0.61/0.79 inference(transitivity,[status(thm)],[123, 2466])).
% 0.61/0.79 tff(2600,plain,
% 0.61/0.79 (store(a_1259, i7, e_1260) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2599, 2598])).
% 0.61/0.79 tff(2601,plain,
% 0.61/0.79 (select(a_1270, i1) = select(store(a_1259, i7, e_1260), i7)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2585, 1577, 1574])).
% 0.61/0.79 tff(2602,plain,
% 0.61/0.79 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(a_1259, i7, e_1260)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2600])).
% 0.61/0.79 tff(2603,plain,
% 0.61/0.79 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2602, 2420, 2601])).
% 0.61/0.79 tff(2604,plain,
% 0.61/0.79 (select(store(store(a_1259, i7, e_1260), i1, select(a_1259, i7)), i1) = select(a_1270, i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2535])).
% 0.61/0.79 tff(2605,plain,
% 0.61/0.79 (e_1262 = select(a_1270, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[433, 1661, 2604])).
% 0.61/0.79 tff(2606,plain,
% 0.61/0.79 (i1 = i5),
% 0.61/0.79 inference(transitivity,[status(thm)],[2587, 2417])).
% 0.61/0.79 tff(2607,plain,
% 0.61/0.79 (a_1261 = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.79 inference(transitivity,[status(thm)],[452, 2600])).
% 0.61/0.79 tff(2608,plain,
% 0.61/0.79 (store(a_1261, i1, e_1262) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2607, 2606, 2605])).
% 0.61/0.79 tff(2609,plain,
% 0.61/0.79 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1)) = store(a_1261, i1, e_1262)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2608])).
% 0.61/0.79 tff(2610,plain,
% 0.61/0.79 (store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7)) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2603])).
% 0.61/0.79 tff(2611,plain,
% 0.61/0.79 (store(a_1259, i7, e_1260) = store(a_1263, i4, e_1264)),
% 0.61/0.79 inference(transitivity,[status(thm)],[1585, 2610, 2609, 1925, 1924])).
% 0.61/0.79 tff(2612,plain,
% 0.61/0.79 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i2)) = store(store(a_1263, i4, e_1264), i2, select(a_1270, i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2611])).
% 0.61/0.79 tff(2613,plain,
% 0.61/0.79 (store(store(a_1294, i9, e_1295), i1, select(store(a_1294, i9, e_1295), i1)) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2597])).
% 0.61/0.79 tff(2614,plain,
% 0.61/0.79 (store(a_1257, i9, e_1258) = store(a_1259, i7, e_1260)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2466, 1625, 2613, 2602])).
% 0.61/0.79 tff(2615,plain,
% 0.61/0.79 (store(store(a_1257, i9, e_1258), i1, select(a_1270, i2)) = store(store(a_1259, i7, e_1260), i2, select(a_1270, i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2614, 303])).
% 0.61/0.79 tff(2616,plain,
% 0.61/0.79 (store(a_1259, i7, e_1260) = store(a_1257, i9, e_1258)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2600, 2597, 1624, 2454])).
% 0.61/0.79 tff(2617,plain,
% 0.61/0.79 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)) = store(store(a_1257, i9, e_1258), i1, select(a_1270, i2))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2616])).
% 0.61/0.79 tff(2618,plain,
% 0.61/0.79 (store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)) = store(a_1294, i9, e_1295)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2617, 2615, 2612, 2277, 307, 722, 108, 719, 718, 115, 1911, 1917, 1920, 2608, 2603, 1584, 2600, 2597, 1624])).
% 0.61/0.79 tff(2619,plain,
% 0.61/0.79 (store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i7, select(a_1259, i1)) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2618, 2468])).
% 0.61/0.79 tff(2620,plain,
% 0.61/0.79 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(store(store(a_1259, i7, e_1260), i1, select(a_1270, i2)), i7, select(a_1259, i1))),
% 0.61/0.79 inference(symmetry,[status(thm)],[2619])).
% 0.61/0.79 tff(2621,plain,
% 0.61/0.79 (select(a_1270, i1) = select(a_1296, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2585, 2468])).
% 0.61/0.79 tff(2622,plain,
% 0.61/0.79 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2466, 2588, 2621])).
% 0.61/0.79 tff(2623,plain,
% 0.61/0.79 (select(store(a_1257, i9, e_1258), i5) = select(a_1259, i7)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2519])).
% 0.61/0.79 tff(2624,plain,
% 0.61/0.79 (select(a_1259, i1) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2585])).
% 0.61/0.79 tff(2625,plain,
% 0.61/0.79 (select(a_1296, i1) = select(a_1259, i1)),
% 0.61/0.79 inference(symmetry,[status(thm)],[2468])).
% 0.61/0.79 tff(2626,plain,
% 0.61/0.79 (store(a_1300, i4, e_1301) = a_1300),
% 0.61/0.79 inference(transitivity,[status(thm)],[2064, 2060, 195])).
% 0.61/0.79 tff(2627,plain,
% 0.61/0.79 (select(store(a_1300, i4, e_1301), i1) = select(a_1300, i5)),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2626, 2606])).
% 0.61/0.79 tff(2628,plain,
% 0.61/0.79 (select(a_1307, i1) = select(a_1270, i1)),
% 0.61/0.79 inference(transitivity,[status(thm)],[2081, 2627, 2463, 991, 2625, 2624, 2623, 1661, 2604])).
% 0.61/0.79 tff(2629,plain,
% 0.61/0.79 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.61/0.79 inference(monotonicity,[status(thm)],[2587, 1116])).
% 0.61/0.79 tff(2630,plain,
% 0.61/0.79 (e_1297 = select(a_1259, i7)),
% 0.61/0.79 inference(transitivity,[status(thm)],[206, 2418, 2455, 2623])).
% 0.61/0.80 tff(2631,plain,
% 0.61/0.80 (a_1296 = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[210, 2454])).
% 0.61/0.80 tff(2632,plain,
% 0.61/0.80 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2631, 2630])).
% 0.61/0.80 tff(2633,plain,
% 0.61/0.80 (select(a_1270, i1) = select(store(a_1296, i1, e_1297), i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2456, 2419, 1199, 1196])).
% 0.61/0.80 tff(2634,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i1, select(a_1270, i1)) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2633])).
% 0.61/0.80 tff(2635,plain,
% 0.61/0.80 (select(a_1296, i7) = select(a_1270, i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2418, 2455, 2623, 1661, 2604])).
% 0.61/0.80 tff(2636,plain,
% 0.61/0.80 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7)) = store(store(a_1296, i1, e_1297), i1, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[212, 2583, 2635])).
% 0.61/0.80 tff(2637,plain,
% 0.61/0.80 (select(a_1300, i5) = select(a_1296, i7)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2463, 991, 2625, 2624, 2456, 2419])).
% 0.61/0.80 tff(2638,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[426, 2420, 2637])).
% 0.61/0.80 tff(2639,plain,
% 0.61/0.80 (e_1299 = select(a_1300, i5)),
% 0.61/0.80 inference(transitivity,[status(thm)],[198, 1645, 2462])).
% 0.61/0.80 tff(2640,plain,
% 0.61/0.80 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[202, 2417, 2639])).
% 0.61/0.80 tff(2641,plain,
% 0.61/0.80 (store(a_1300, i4, e_1301) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2064, 2060, 2640, 2638, 2636, 2634, 1206, 2632, 2629, 1114])).
% 0.61/0.80 tff(2642,plain,
% 0.61/0.80 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2641, 2628])).
% 0.61/0.80 tff(2643,plain,
% 0.61/0.80 ((~![I: $i, A: $i] : (store(A, I, select(A, I)) = A)) | (store(store(a_1307, i2, e_1308), i2, select(store(a_1307, i2, e_1308), i2)) = store(a_1307, i2, e_1308))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2644,plain,
% 0.61/0.80 (store(store(a_1307, i2, e_1308), i2, select(store(a_1307, i2, e_1308), i2)) = store(a_1307, i2, e_1308)),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2643, 27])).
% 0.61/0.80 tff(2645,plain,
% 0.61/0.80 (select(store(a_1307, i2, e_1308), i2) = select(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i2)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[1831])).
% 0.61/0.80 tff(2646,plain,
% 0.61/0.80 (select(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i2) = select(store(a_1307, i2, e_1308), i2)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2645])).
% 0.61/0.80 tff(2647,plain,
% 0.61/0.80 ((~![I: $i, E: $i, A: $i] : (select(store(A, I, E), I) = E)) | (select(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i2) = select(a_1307, i1))),
% 0.61/0.80 inference(quant_inst,[status(thm)],[])).
% 0.61/0.80 tff(2648,plain,
% 0.61/0.80 (select(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i2) = select(a_1307, i1)),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2647, 139])).
% 0.61/0.80 tff(2649,plain,
% 0.61/0.80 (select(a_1307, i1) = select(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i2)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2648])).
% 0.61/0.80 tff(2650,plain,
% 0.61/0.80 (select(a_1300, i5) = select(store(a_1300, i4, e_1301), i1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2627])).
% 0.61/0.80 tff(2651,plain,
% 0.61/0.80 (select(a_1300, i4) = select(a_1300, i5)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[1908])).
% 0.61/0.80 tff(2652,plain,
% 0.61/0.80 (select(a_1300, i4) = select(store(a_1307, i2, e_1308), i2)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2651, 2650, 2531, 2649, 2646])).
% 0.61/0.80 tff(2653,plain,
% 0.61/0.80 (i5 = i2),
% 0.61/0.80 inference(transitivity,[status(thm)],[2420, 2583, 303])).
% 0.61/0.80 tff(2654,plain,
% 0.61/0.80 (store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i5, select(a_1300, i4)) = store(store(a_1307, i2, e_1308), i2, select(store(a_1307, i2, e_1308), i2))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[389, 2653, 2652])).
% 0.61/0.80 tff(2655,plain,
% 0.61/0.80 (select(a_1300, i5) = select(a_1300, i4)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2651])).
% 0.61/0.80 tff(2656,plain,
% 0.61/0.80 (i2 = i5),
% 0.61/0.80 inference(transitivity,[status(thm)],[291, 2587, 2417])).
% 0.61/0.80 tff(2657,plain,
% 0.61/0.80 (store(a_1296, i1, e_1297) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2632, 2629, 1114])).
% 0.61/0.80 tff(2658,plain,
% 0.61/0.80 (select(store(a_1296, i1, e_1297), i2) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2657, 2656])).
% 0.61/0.80 tff(2659,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2632])).
% 0.61/0.80 tff(2660,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2629])).
% 0.61/0.80 tff(2661,plain,
% 0.61/0.80 (store(a_1263, i4, e_1264) = store(a_1296, i1, e_1297)),
% 0.61/0.80 inference(transitivity,[status(thm)],[1909, 1904, 2608, 2603, 1584, 2600, 2597, 1624, 2454, 1215, 2660, 2659])).
% 0.61/0.80 tff(2662,plain,
% 0.61/0.80 (select(store(a_1263, i4, e_1264), i2) = select(store(a_1296, i1, e_1297), i2)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2661])).
% 0.61/0.80 tff(2663,plain,
% 0.61/0.80 (select(a_1270, i2) = select(a_1300, i4)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2299, 2662, 2658, 2585, 2468, 1645, 2462, 2655])).
% 0.61/0.80 tff(2664,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2642])).
% 0.61/0.80 tff(2665,plain,
% 0.61/0.80 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2616])).
% 0.61/0.80 tff(2666,plain,
% 0.61/0.80 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(store(a_1306, i0, e_1305), i2, select(a_1307, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[2665, 2664, 2308, 1831])).
% 0.61/0.80 tff(2667,plain,
% 0.61/0.80 (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1306, i0, e_1305), i2, select(a_1307, i1)), i5, select(a_1300, i4))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2666, 2606, 2663])).
% 0.61/0.80 tff(2668,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2665])).
% 0.61/0.80 tff(2669,plain,
% 0.61/0.80 (store(a_1269, i0, e_1268) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1911, 1917, 1920, 2608, 2603, 1584, 2600, 2597, 1624, 2454])).
% 0.61/0.80 tff(2670,plain,
% 0.61/0.80 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2669])).
% 0.61/0.80 tff(2671,plain,
% 0.61/0.80 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[2670, 2668])).
% 0.61/0.80 tff(2672,plain,
% 0.61/0.80 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2671])).
% 0.61/0.80 tff(2673,plain,
% 0.61/0.80 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[2672, 2667, 2654, 2644, 2085, 2642, 2622, 2620, 2596, 279])).
% 0.61/0.80 tff(2674,plain,
% 0.61/0.80 ($false),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[286, 2673])).
% 0.61/0.80 tff(2675,plain,((store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))) | (~(i8 = i5)) | (~(i8 = i4))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.80 tff(2676,plain,
% 0.61/0.80 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i1, select(a_1270, i2)), i2, select(a_1270, i1))),
% 0.61/0.80 inference(unit_resolution,[status(thm)],[2675, 1759, 1877])).
% 0.61/0.80 tff(2677,plain,
% 0.61/0.80 (select(store(a_1251, i8, e_1252), i4) = select(a_1255, i4)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2169])).
% 0.61/0.80 tff(2678,plain,
% 0.61/0.80 (a_1251 = store(a_1251, i8, e_1252)),
% 0.61/0.80 inference(transitivity,[status(thm)],[15, 1957, 1956])).
% 0.61/0.80 tff(2679,plain,
% 0.61/0.80 (select(a_1251, i5) = select(store(a_1251, i8, e_1252), i4)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2678, 1916])).
% 0.61/0.80 tff(2680,plain,
% 0.61/0.80 (select(a_1251, i8) = select(a_1251, i5)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[1877])).
% 0.61/0.80 tff(2681,plain,
% 0.61/0.80 (select(store(store(a_1247, i6, e_1248), i8, select(a_1247, i6)), i8) = select(a_1251, i8)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[481])).
% 0.61/0.80 tff(2682,plain,
% 0.61/0.80 (store(store(a1, i8, e_1244), i8, select(store(a1, i8, e_1244), i8)) = store(a_1245, i7, e_1246)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2427])).
% 0.61/0.80 tff(2683,plain,
% 0.61/0.80 (store(a1, i7, e_1246) = a_1247),
% 0.61/0.80 inference(transitivity,[status(thm)],[2431, 543, 541, 2435, 1746, 2682, 506])).
% 0.61/0.80 tff(2684,plain,
% 0.61/0.80 (select(store(a1, i7, e_1246), i6) = select(a_1247, i6)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2683])).
% 0.61/0.80 tff(2685,plain,
% 0.61/0.80 (a_1284 = store(a1, i7, e_1246)),
% 0.61/0.80 inference(transitivity,[status(thm)],[563, 2433, 2423, 540, 572, 2422])).
% 0.61/0.80 tff(2686,plain,
% 0.61/0.80 (select(a_1284, i6) = select(store(a1, i7, e_1246), i6)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2685])).
% 0.61/0.80 tff(2687,plain,
% 0.61/0.80 (e_1295 = e_1258),
% 0.61/0.80 inference(transitivity,[status(thm)],[230, 1993, 1981, 1973, 498, 501, 2686, 2684, 479, 2681, 2680, 2679, 2677, 462])).
% 0.61/0.80 tff(2688,plain,
% 0.61/0.80 (select(a_1288, i8) = select(a_1247, i6)),
% 0.61/0.80 inference(transitivity,[status(thm)],[498, 501, 2686, 2684])).
% 0.61/0.80 tff(2689,plain,
% 0.61/0.80 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2447, 2688])).
% 0.61/0.80 tff(2690,plain,
% 0.61/0.80 (store(a_1288, i5, e_1289) = store(a_1251, i8, e_1252)),
% 0.61/0.80 inference(transitivity,[status(thm)],[1979, 1975, 2012, 2689, 1999, 1957, 1956])).
% 0.61/0.80 tff(2691,plain,
% 0.61/0.80 (select(store(a_1288, i5, e_1289), i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2690])).
% 0.61/0.80 tff(2692,plain,
% 0.61/0.80 (select(a_1292, i9) = select(a_1255, i9)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2015, 2691, 1998])).
% 0.61/0.80 tff(2693,plain,
% 0.61/0.80 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2690, 2692])).
% 0.61/0.80 tff(2694,plain,
% 0.61/0.80 (a_1294 = a_1257),
% 0.61/0.80 inference(transitivity,[status(thm)],[665, 2018, 2693, 1996, 637])).
% 0.61/0.80 tff(2695,plain,
% 0.61/0.80 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2694, 2687])).
% 0.61/0.80 tff(2696,plain,
% 0.61/0.80 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2695])).
% 0.61/0.80 tff(2697,plain,
% 0.61/0.80 (a_1259 = a_1296),
% 0.61/0.80 inference(transitivity,[status(thm)],[123, 2696, 211])).
% 0.61/0.80 tff(2698,plain,
% 0.61/0.80 (select(a_1259, i1) = select(a_1296, i1)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2697])).
% 0.61/0.80 tff(2699,plain,
% 0.61/0.80 (e_1260 = select(a_1296, i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[129, 2698])).
% 0.61/0.80 tff(2700,plain,
% 0.61/0.80 (a_1259 = store(a_1294, i9, e_1295)),
% 0.61/0.80 inference(transitivity,[status(thm)],[123, 2696])).
% 0.61/0.80 tff(2701,plain,
% 0.61/0.80 (store(a_1259, i7, e_1260) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2700, 2699])).
% 0.61/0.80 tff(2702,plain,
% 0.61/0.80 (store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)) = store(a_1259, i7, e_1260)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2701])).
% 0.61/0.80 tff(2703,plain,
% 0.61/0.80 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2702, 2420, 2601])).
% 0.61/0.80 tff(2704,plain,
% 0.61/0.80 (a_1261 = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[452, 2701])).
% 0.61/0.80 tff(2705,plain,
% 0.61/0.80 (store(a_1261, i1, e_1262) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2704, 2606, 2605])).
% 0.61/0.80 tff(2706,plain,
% 0.61/0.80 (store(a_1269, i0, e_1268) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[722, 108, 719, 718, 115, 1911, 1917, 1920, 2705, 2703, 1584, 2701, 2597, 1624, 2695])).
% 0.61/0.80 tff(2707,plain,
% 0.61/0.80 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2706])).
% 0.61/0.80 tff(2708,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2707])).
% 0.61/0.80 tff(2709,plain,
% 0.61/0.80 (store(a_1259, i7, e_1260) = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2701, 2597, 1624, 2695])).
% 0.61/0.80 tff(2710,plain,
% 0.61/0.80 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2709])).
% 0.61/0.80 tff(2711,plain,
% 0.61/0.80 (store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)) = store(store(a_1269, i0, e_1268), i2, select(a_1270, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[2710, 2708])).
% 0.61/0.80 tff(2712,plain,
% 0.61/0.80 (store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2711])).
% 0.61/0.80 tff(2713,plain,
% 0.61/0.80 (store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1)) = store(a_1261, i1, e_1262)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2705])).
% 0.61/0.80 tff(2714,plain,
% 0.61/0.80 (store(store(a_1259, i7, e_1260), i7, select(store(a_1259, i7, e_1260), i7)) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i5, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2703])).
% 0.61/0.80 tff(2715,plain,
% 0.61/0.80 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2695])).
% 0.61/0.80 tff(2716,plain,
% 0.61/0.80 (e_1297 = select(a_1259, i7)),
% 0.61/0.80 inference(transitivity,[status(thm)],[206, 2418, 2715, 2623])).
% 0.61/0.80 tff(2717,plain,
% 0.61/0.80 (a_1296 = store(a_1257, i9, e_1258)),
% 0.61/0.80 inference(transitivity,[status(thm)],[210, 2695])).
% 0.61/0.80 tff(2718,plain,
% 0.61/0.80 (store(a_1296, i1, e_1297) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2717, 2716])).
% 0.61/0.80 tff(2719,plain,
% 0.61/0.80 (store(a_1296, i1, e_1297) = store(a_1263, i4, e_1264)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2718, 2629, 1114, 2696, 1625, 2613, 2702, 1585, 2714, 2713, 1925, 1924])).
% 0.61/0.80 tff(2720,plain,
% 0.61/0.80 (select(store(a_1296, i1, e_1297), i2) = select(store(a_1263, i4, e_1264), i2)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2719])).
% 0.61/0.80 tff(2721,plain,
% 0.61/0.80 (select(store(a_1257, i9, e_1258), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2715])).
% 0.61/0.80 tff(2722,plain,
% 0.61/0.80 (select(a_1270, i1) = select(store(a_1296, i1, e_1297), i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2721, 2419, 1199, 1196])).
% 0.61/0.80 tff(2723,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i1, select(a_1270, i1)) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2722])).
% 0.61/0.80 tff(2724,plain,
% 0.61/0.80 (select(a_1296, i7) = select(a_1270, i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2418, 2715, 2623, 1661, 2604])).
% 0.61/0.80 tff(2725,plain,
% 0.61/0.80 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7)) = store(store(a_1296, i1, e_1297), i1, select(a_1270, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[212, 2583, 2724])).
% 0.61/0.80 tff(2726,plain,
% 0.61/0.80 (select(a_1296, i1) = select(a_1259, i1)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2698])).
% 0.61/0.80 tff(2727,plain,
% 0.61/0.80 (select(a_1300, i5) = select(a_1296, i7)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2463, 991, 2726, 2624, 2721, 2419])).
% 0.61/0.80 tff(2728,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[426, 2420, 2727])).
% 0.61/0.80 tff(2729,plain,
% 0.61/0.80 (store(a_1300, i4, e_1301) = store(a_1296, i1, e_1297)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2064, 2060, 2640, 2728, 2725, 2723, 1206])).
% 0.61/0.80 tff(2730,plain,
% 0.61/0.80 (select(store(a_1300, i4, e_1301), i2) = select(store(a_1296, i1, e_1297), i2)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2729])).
% 0.61/0.80 tff(2731,plain,
% 0.61/0.80 (e_1310 = select(a_1270, i2)),
% 0.61/0.80 inference(transitivity,[status(thm)],[79, 2077, 2730, 2720, 1923])).
% 0.61/0.80 tff(2732,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2710])).
% 0.61/0.80 tff(2733,plain,
% 0.61/0.80 (select(a_1270, i1) = select(a_1307, i1)),
% 0.61/0.80 inference(transitivity,[status(thm)],[2535, 1660, 2519, 2585, 2698, 1645, 2462, 2650, 2531])).
% 0.61/0.80 tff(2734,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i5, select(a_1300, i5)) = store(a_1298, i7, e_1299)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2640])).
% 0.61/0.80 tff(2735,plain,
% 0.61/0.80 (store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7)) = store(store(a_1296, i1, e_1297), i5, select(a_1300, i5))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2728])).
% 0.61/0.80 tff(2736,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i1, select(a_1270, i1)) = store(store(store(a_1294, i9, e_1295), i1, select(a_1296, i7)), i7, select(a_1296, i7))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2725])).
% 0.61/0.80 tff(2737,plain,
% 0.61/0.80 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(store(a_1296, i1, e_1297), i1, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2723])).
% 0.61/0.80 tff(2738,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2718])).
% 0.61/0.80 tff(2739,plain,
% 0.61/0.80 (store(a_1257, i9, e_1258) = store(a_1300, i4, e_1301)),
% 0.61/0.80 inference(transitivity,[status(thm)],[1215, 2660, 2738, 1207, 2737, 2736, 2735, 2734, 2068, 2067])).
% 0.61/0.80 tff(2740,plain,
% 0.61/0.80 (store(store(a_1257, i9, e_1258), i2, select(a_1270, i1)) = store(store(a_1300, i4, e_1301), i2, select(a_1307, i1))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2739, 2733])).
% 0.61/0.80 tff(2741,plain,
% 0.61/0.80 (store(store(a_1300, i4, e_1301), i2, select(a_1307, i1)) = store(store(a_1257, i9, e_1258), i2, select(a_1270, i1))),
% 0.61/0.80 inference(symmetry,[status(thm)],[2740])).
% 0.61/0.80 tff(2742,plain,
% 0.61/0.80 (a_1309 = store(store(a_1259, i7, e_1260), i2, select(a_1270, i1))),
% 0.61/0.80 inference(transitivity,[status(thm)],[383, 2541, 2741, 2732])).
% 0.61/0.80 tff(2743,plain,
% 0.61/0.80 (store(a_1309, i1, e_1310) = store(store(store(a_1259, i7, e_1260), i2, select(a_1270, i1)), i1, select(a_1270, i2))),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2742, 2731])).
% 0.61/0.80 tff(2744,plain,
% 0.61/0.80 (a_1311 = a_1274),
% 0.61/0.80 inference(transitivity,[status(thm)],[75, 2743, 2712, 2676, 278, 154])).
% 0.61/0.80 tff(2745,plain,
% 0.61/0.80 (select(a_1311, i3) = select(a_1274, i3)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2744])).
% 0.61/0.80 tff(2746,plain,
% 0.61/0.80 (e_1314 = e_1277),
% 0.61/0.80 inference(transitivity,[status(thm)],[71, 2745, 150])).
% 0.61/0.80 tff(2747,plain,
% 0.61/0.80 (select(a_1311, i0) = select(a_1274, i0)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2744])).
% 0.61/0.80 tff(2748,plain,
% 0.61/0.80 (e_1312 = e_1275),
% 0.61/0.80 inference(transitivity,[status(thm)],[748, 2747, 1689])).
% 0.61/0.80 tff(2749,plain,
% 0.61/0.80 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2744, 2748])).
% 0.61/0.80 tff(2750,plain,
% 0.61/0.80 (a_1313 = a_1276),
% 0.61/0.80 inference(transitivity,[status(thm)],[744, 2749, 1688])).
% 0.61/0.80 tff(2751,plain,
% 0.61/0.80 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2750, 2746])).
% 0.61/0.80 tff(2752,plain,
% 0.61/0.80 (a_1315 = a_1278),
% 0.61/0.80 inference(transitivity,[status(thm)],[44, 2751, 146])).
% 0.61/0.80 tff(2753,plain,
% 0.61/0.80 (select(a_1315, i9) = select(a_1278, i9)),
% 0.61/0.80 inference(monotonicity,[status(thm)],[2752])).
% 0.61/0.80 tff(2754,plain,
% 0.61/0.80 (select(a_1278, i9) = select(a_1315, i9)),
% 0.61/0.80 inference(symmetry,[status(thm)],[2753])).
% 0.61/0.81 tff(2755,plain,
% 0.61/0.81 (select(a_1315, i5) = select(a_1278, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2752])).
% 0.61/0.81 tff(2756,plain,
% 0.61/0.81 (select(a_1278, i5) = select(a_1315, i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2755])).
% 0.61/0.81 tff(2757,plain,
% 0.61/0.81 (select(a_1278, i5) = e_1318),
% 0.61/0.81 inference(transitivity,[status(thm)],[2756, 54])).
% 0.61/0.81 tff(2758,plain,
% 0.61/0.81 (e_1316 = select(a_1278, i9)),
% 0.61/0.81 inference(transitivity,[status(thm)],[50, 2753])).
% 0.61/0.81 tff(2759,plain,
% 0.61/0.81 (a_1315 = store(a_1276, i0, e_1277)),
% 0.61/0.81 inference(transitivity,[status(thm)],[44, 2751])).
% 0.61/0.81 tff(2760,plain,
% 0.61/0.81 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2759, 2758])).
% 0.61/0.81 tff(2761,plain,
% 0.61/0.81 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(a_1315, i5, e_1316)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2760])).
% 0.61/0.81 tff(2762,plain,
% 0.61/0.81 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = a_1317),
% 0.61/0.81 inference(transitivity,[status(thm)],[2761, 58])).
% 0.61/0.81 tff(2763,plain,
% 0.61/0.81 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2762, 2757])).
% 0.61/0.81 tff(2764,plain,
% 0.61/0.81 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2763])).
% 0.61/0.81 tff(2765,plain,
% 0.61/0.81 (a_1319 = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.81 inference(transitivity,[status(thm)],[35, 2764])).
% 0.61/0.81 tff(2766,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1714, 2765])).
% 0.61/0.81 tff(2767,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[2766, 1698])).
% 0.61/0.81 tff(2768,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[2767, 1699])).
% 0.61/0.81 tff(2769,plain,
% 0.61/0.81 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2768])).
% 0.61/0.81 tff(2770,plain,
% 0.61/0.81 (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[789, 2769])).
% 0.61/0.81 tff(2771,plain,
% 0.61/0.81 (i9 = i5),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[1722, 222, 2770])).
% 0.61/0.81 tff(2772,plain,
% 0.61/0.81 (select(a_1278, i9) = select(a_1278, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2771])).
% 0.61/0.81 tff(2773,plain,
% 0.61/0.81 (select(a_1278, i5) = select(a_1278, i9)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2772])).
% 0.61/0.81 tff(2774,plain,
% 0.61/0.81 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[39, 2755, 2773, 2754, 142, 133])).
% 0.61/0.81 tff(2775,plain,
% 0.61/0.81 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[57, 2771, 2774])).
% 0.61/0.81 tff(2776,plain,
% 0.61/0.81 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2775])).
% 0.61/0.81 tff(2777,plain,
% 0.61/0.81 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[145, 2771, 1475])).
% 0.61/0.81 tff(2778,plain,
% 0.61/0.81 (a_1280 = store(a_1276, i0, e_1277)),
% 0.61/0.81 inference(transitivity,[status(thm)],[767, 2777, 1472])).
% 0.61/0.81 tff(2779,plain,
% 0.61/0.81 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2778, 67])).
% 0.61/0.81 tff(2780,plain,
% 0.61/0.81 (a_1282 = a_1319),
% 0.61/0.81 inference(transitivity,[status(thm)],[782, 2779, 2761, 1048, 2776, 36])).
% 0.61/0.81 tff(2781,plain,
% 0.61/0.81 ($false),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[789, 2780])).
% 0.61/0.81 tff(2782,plain,((~(i8 = i4)) | (~(i8 = i5))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.81 tff(2783,plain,
% 0.61/0.81 (~(i8 = i4)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[2782, 1876])).
% 0.61/0.81 tff(2784,plain,
% 0.61/0.81 (select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[358, 2783])).
% 0.61/0.81 tff(2785,plain,
% 0.61/0.81 (select(store(a_1288, i5, e_1289), i4) = select(store(store(a_1288, i5, e_1289), i8, select(a_1288, i5)), i4)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2784])).
% 0.61/0.81 tff(2786,plain,
% 0.61/0.81 (store(store(a1, i7, select(a1, i8)), i8, select(a1, i7)) = store(store(a1, i8, select(a1, i7)), i7, select(a1, i8))),
% 0.61/0.81 inference(symmetry,[status(thm)],[1758])).
% 0.61/0.81 tff(2787,plain,
% 0.61/0.81 (a_1284 = a_1247),
% 0.61/0.81 inference(transitivity,[status(thm)],[563, 825, 2786, 521, 506])).
% 0.61/0.81 tff(2788,plain,
% 0.61/0.81 (select(a_1284, i6) = select(a_1247, i6)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2787])).
% 0.61/0.81 tff(2789,plain,
% 0.61/0.81 (e_1289 = select(a_1251, i8)),
% 0.61/0.81 inference(transitivity,[status(thm)],[326, 498, 501, 2788, 479, 476])).
% 0.61/0.81 tff(2790,plain,
% 0.61/0.81 (e_1287 = e_1250),
% 0.61/0.81 inference(transitivity,[status(thm)],[334, 2788, 467])).
% 0.61/0.81 tff(2791,plain,
% 0.61/0.81 (store(a_1284, i6, e_1285) = store(a_1247, i6, e_1248)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2787, 830])).
% 0.61/0.81 tff(2792,plain,
% 0.61/0.81 (a_1286 = a_1249),
% 0.61/0.81 inference(transitivity,[status(thm)],[338, 2791, 471])).
% 0.61/0.81 tff(2793,plain,
% 0.61/0.81 (store(a_1286, i8, e_1287) = store(a_1249, i8, e_1250)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2792, 2790])).
% 0.61/0.81 tff(2794,plain,
% 0.61/0.81 (a_1288 = store(a_1249, i8, e_1250)),
% 0.61/0.81 inference(transitivity,[status(thm)],[330, 2793])).
% 0.61/0.81 tff(2795,plain,
% 0.61/0.81 (store(a_1288, i5, e_1289) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2794, 2789])).
% 0.61/0.81 tff(2796,plain,
% 0.61/0.81 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(a_1288, i5, e_1289)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2795])).
% 0.61/0.81 tff(2797,plain,
% 0.61/0.81 (i5 = i8),
% 0.61/0.81 inference(symmetry,[status(thm)],[1876])).
% 0.61/0.81 tff(2798,plain,
% 0.61/0.81 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2797, 1961])).
% 0.61/0.81 tff(2799,plain,
% 0.61/0.81 (store(store(a_1249, i8, e_1250), i8, select(store(a_1249, i8, e_1250), i8)) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2798])).
% 0.61/0.81 tff(2800,plain,
% 0.61/0.81 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(a_1249, i8, e_1250)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[471, 2797, 467])).
% 0.61/0.81 tff(2801,plain,
% 0.61/0.81 (select(a_1288, i8) = select(a_1247, i6)),
% 0.61/0.81 inference(transitivity,[status(thm)],[498, 501, 2788])).
% 0.61/0.81 tff(2802,plain,
% 0.61/0.81 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2791, 2801])).
% 0.61/0.81 tff(2803,plain,
% 0.61/0.81 (store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)) = store(a_1288, i5, e_1289)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2802, 2800, 2168, 2799, 2796])).
% 0.61/0.81 tff(2804,plain,
% 0.61/0.81 (select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4) = select(store(a_1288, i5, e_1289), i4)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2803])).
% 0.61/0.81 tff(2805,plain,
% 0.61/0.81 (store(store(a_1247, i6, e_1248), i5, select(a_1247, i6)) = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2802])).
% 0.61/0.81 tff(2806,plain,
% 0.61/0.81 (store(a_1249, i8, e_1250) = store(store(a_1247, i6, e_1248), i5, select(a_1247, i6))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2800])).
% 0.61/0.81 tff(2807,plain,
% 0.61/0.81 (store(a_1251, i8, e_1252) = store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[15, 1876, 32])).
% 0.61/0.81 tff(2808,plain,
% 0.61/0.81 (a_1253 = store(a_1249, i8, e_1250)),
% 0.61/0.81 inference(transitivity,[status(thm)],[7, 2807, 29])).
% 0.61/0.81 tff(2809,plain,
% 0.61/0.81 (store(a_1253, i5, e_1254) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2808, 3])).
% 0.61/0.81 tff(2810,plain,
% 0.61/0.81 (a_1255 = store(store(a_1284, i6, e_1285), i5, select(a_1288, i8))),
% 0.61/0.81 inference(transitivity,[status(thm)],[491, 2809, 2798, 1959, 2806, 2805])).
% 0.61/0.81 tff(2811,plain,
% 0.61/0.81 (select(a_1255, i4) = select(store(store(a_1284, i6, e_1285), i5, select(a_1288, i8)), i4)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2810])).
% 0.61/0.81 tff(2812,plain,
% 0.61/0.81 (e_1258 = e_1295),
% 0.61/0.81 inference(transitivity,[status(thm)],[461, 2811, 2804, 2785, 246, 231])).
% 0.61/0.81 tff(2813,plain,
% 0.61/0.81 (select(a_1292, i9) = e_1293),
% 0.61/0.81 inference(symmetry,[status(thm)],[660])).
% 0.61/0.81 tff(2814,plain,
% 0.61/0.81 (a_1288 = a_1251),
% 0.61/0.81 inference(transitivity,[status(thm)],[330, 2793, 16])).
% 0.61/0.81 tff(2815,plain,
% 0.61/0.81 (select(a_1288, i5) = select(a_1251, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2814])).
% 0.61/0.81 tff(2816,plain,
% 0.61/0.81 (e_1291 = select(a_1251, i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[238, 2815])).
% 0.61/0.81 tff(2817,plain,
% 0.61/0.81 (a_1290 = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.61/0.81 inference(transitivity,[status(thm)],[242, 2795])).
% 0.61/0.81 tff(2818,plain,
% 0.61/0.81 (store(a_1290, i8, e_1291) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2817, 2816])).
% 0.61/0.81 tff(2819,plain,
% 0.61/0.81 (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(a_1290, i8, e_1291)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2818])).
% 0.61/0.81 tff(2820,plain,
% 0.61/0.81 (select(a_1247, i6) = select(a_1284, i6)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2788])).
% 0.61/0.81 tff(2821,plain,
% 0.61/0.81 (select(a_1251, i5) = select(a_1251, i8)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2797])).
% 0.61/0.81 tff(2822,plain,
% 0.61/0.81 (select(a_1251, i5) = select(store(a_1288, i5, e_1289), i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2821, 475, 478, 2820, 502, 499, 1989, 1986])).
% 0.61/0.81 tff(2823,plain,
% 0.61/0.81 (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2796, 1876, 2822])).
% 0.61/0.81 tff(2824,plain,
% 0.61/0.81 (store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2823])).
% 0.61/0.81 tff(2825,plain,
% 0.61/0.81 (store(a_1288, i5, e_1289) = store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5))),
% 0.61/0.81 inference(symmetry,[status(thm)],[1983])).
% 0.61/0.81 tff(2826,plain,
% 0.61/0.81 (store(a_1288, i5, e_1289) = a_1292),
% 0.61/0.81 inference(transitivity,[status(thm)],[2825, 2824, 2819, 235])).
% 0.61/0.81 tff(2827,plain,
% 0.61/0.81 (store(store(a_1288, i5, e_1289), i4, select(a_1292, i9)) = store(a_1292, i4, e_1293)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2826, 2813])).
% 0.61/0.81 tff(2828,plain,
% 0.61/0.81 (store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5)) = store(a_1251, i8, e_1252)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2807])).
% 0.61/0.81 tff(2829,plain,
% 0.61/0.81 (a_1292 = store(a_1251, i8, e_1252)),
% 0.61/0.81 inference(transitivity,[status(thm)],[234, 2818, 2823, 1983, 2795, 2798, 1959, 1957, 2828])).
% 0.61/0.81 tff(2830,plain,
% 0.61/0.81 (select(a_1292, i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2829])).
% 0.61/0.81 tff(2831,plain,
% 0.61/0.81 (select(store(a_1251, i8, e_1252), i9) = select(a_1292, i9)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2830])).
% 0.61/0.81 tff(2832,plain,
% 0.61/0.81 (a_1255 = store(a_1251, i8, e_1252)),
% 0.61/0.81 inference(transitivity,[status(thm)],[491, 2809, 2798, 1959, 1957, 2828])).
% 0.61/0.81 tff(2833,plain,
% 0.61/0.81 (select(a_1255, i9) = select(store(a_1251, i8, e_1252), i9)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2832])).
% 0.61/0.81 tff(2834,plain,
% 0.61/0.81 (select(a_1255, i9) = select(a_1292, i9)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2833, 2831])).
% 0.61/0.81 tff(2835,plain,
% 0.61/0.81 (store(a_1251, i8, e_1252) = store(a_1288, i5, e_1289)),
% 0.61/0.81 inference(transitivity,[status(thm)],[2807, 29, 2168, 2799, 2796])).
% 0.61/0.81 tff(2836,plain,
% 0.61/0.81 (store(store(a_1251, i8, e_1252), i4, select(a_1255, i9)) = store(store(a_1288, i5, e_1289), i4, select(a_1292, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2835, 2834])).
% 0.61/0.81 tff(2837,plain,
% 0.61/0.81 (store(a_1255, i4, e_1256) = store(store(a_1251, i8, e_1252), i4, select(a_1255, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2832, 640])).
% 0.61/0.81 tff(2838,plain,
% 0.61/0.81 (a_1257 = a_1294),
% 0.61/0.81 inference(transitivity,[status(thm)],[636, 2837, 2836, 2827, 1158])).
% 0.61/0.81 tff(2839,plain,
% 0.61/0.81 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2838, 2812])).
% 0.61/0.81 tff(2840,plain,
% 0.61/0.81 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2839])).
% 0.61/0.81 tff(2841,plain,
% 0.61/0.81 (a_1296 = a_1259),
% 0.61/0.81 inference(transitivity,[status(thm)],[210, 2840, 124])).
% 0.61/0.81 tff(2842,plain,
% 0.61/0.81 (select(a_1296, i7) = select(a_1259, i7)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2841])).
% 0.61/0.81 tff(2843,plain,
% 0.61/0.81 (select(a_1259, i7) = select(a_1296, i7)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2842])).
% 0.61/0.81 tff(2844,plain,
% 0.61/0.81 (e_1262 = select(a_1296, i7)),
% 0.61/0.81 inference(transitivity,[status(thm)],[433, 2843])).
% 0.61/0.81 tff(2845,plain,
% 0.61/0.81 (a_1259 = a_1296),
% 0.61/0.81 inference(transitivity,[status(thm)],[123, 2839, 211])).
% 0.61/0.81 tff(2846,plain,
% 0.61/0.81 (select(a_1259, i1) = select(a_1296, i1)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2845])).
% 0.61/0.81 tff(2847,plain,
% 0.61/0.81 (e_1260 = select(a_1296, i1)),
% 0.61/0.81 inference(transitivity,[status(thm)],[129, 2846])).
% 0.61/0.81 tff(2848,plain,
% 0.61/0.81 (a_1259 = store(a_1294, i9, e_1295)),
% 0.61/0.81 inference(transitivity,[status(thm)],[123, 2839])).
% 0.61/0.81 tff(2849,plain,
% 0.61/0.81 (store(a_1259, i7, e_1260) = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2848, 2847])).
% 0.61/0.81 tff(2850,plain,
% 0.61/0.81 (a_1261 = store(store(a_1294, i9, e_1295), i7, select(a_1296, i1))),
% 0.61/0.81 inference(transitivity,[status(thm)],[452, 2849])).
% 0.61/0.81 tff(2851,plain,
% 0.61/0.81 (store(a_1261, i1, e_1262) = store(store(store(a_1294, i9, e_1295), i7, select(a_1296, i1)), i1, select(a_1296, i7))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2850, 2844])).
% 0.61/0.81 tff(2852,plain,
% 0.61/0.81 (a_1263 = a_1300),
% 0.61/0.81 inference(transitivity,[status(thm)],[448, 2851, 227, 214, 195])).
% 0.61/0.81 tff(2853,plain,
% 0.61/0.81 (select(a_1263, i4) = select(a_1300, i4)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2852])).
% 0.61/0.81 tff(2854,plain,
% 0.61/0.81 (e_1266 = e_1303),
% 0.61/0.81 inference(transitivity,[status(thm)],[119, 2853, 191])).
% 0.61/0.81 tff(2855,plain,
% 0.61/0.81 (select(a_1263, i5) = select(a_1300, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2852])).
% 0.61/0.81 tff(2856,plain,
% 0.61/0.81 (e_1264 = e_1301),
% 0.61/0.81 inference(transitivity,[status(thm)],[706, 2855, 693])).
% 0.61/0.81 tff(2857,plain,
% 0.61/0.81 (store(a_1263, i4, e_1264) = store(a_1300, i4, e_1301)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2852, 2856])).
% 0.61/0.81 tff(2858,plain,
% 0.61/0.81 (a_1265 = a_1302),
% 0.61/0.81 inference(transitivity,[status(thm)],[713, 2857, 689])).
% 0.61/0.81 tff(2859,plain,
% 0.61/0.81 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2858, 2854])).
% 0.61/0.81 tff(2860,plain,
% 0.61/0.81 (a_1270 = a_1307),
% 0.61/0.81 inference(transitivity,[status(thm)],[83, 722, 108, 719, 718, 115, 2859, 187, 184, 174, 180, 177, 162])).
% 0.61/0.81 tff(2861,plain,
% 0.61/0.81 (select(a_1270, i1) = select(a_1307, i1)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2860])).
% 0.61/0.81 tff(2862,plain,
% 0.61/0.81 (select(a_1307, i1) = select(a_1270, i1)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2861])).
% 0.61/0.81 tff(2863,plain,
% 0.61/0.81 (select(a_1307, i1) = e_1273),
% 0.61/0.81 inference(transitivity,[status(thm)],[2862, 158])).
% 0.61/0.81 tff(2864,plain,
% 0.61/0.81 (select(a_1270, i2) = select(a_1307, i2)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2860])).
% 0.61/0.81 tff(2865,plain,
% 0.61/0.81 (select(a_1307, i2) = select(a_1270, i2)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2864])).
% 0.61/0.81 tff(2866,plain,
% 0.61/0.81 (select(a_1307, i2) = e_1271),
% 0.61/0.81 inference(transitivity,[status(thm)],[2865, 275])).
% 0.61/0.81 tff(2867,plain,
% 0.61/0.81 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2859])).
% 0.61/0.81 tff(2868,plain,
% 0.61/0.81 (store(a_1306, i0, e_1305) = a_1270),
% 0.61/0.81 inference(transitivity,[status(thm)],[733, 179, 175, 732, 186, 2867, 116, 730, 720, 109, 729, 84])).
% 0.61/0.81 tff(2869,plain,
% 0.61/0.81 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = store(a_1270, i1, e_1271)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2868, 2866])).
% 0.61/0.81 tff(2870,plain,
% 0.61/0.81 (store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)) = a_1272),
% 0.61/0.81 inference(transitivity,[status(thm)],[2869, 271])).
% 0.61/0.81 tff(2871,plain,
% 0.61/0.81 (store(store(store(a_1306, i0, e_1305), i1, select(a_1307, i2)), i2, select(a_1307, i1)) = store(a_1272, i2, e_1273)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2870, 2863])).
% 0.61/0.81 tff(2872,plain,
% 0.61/0.81 (a_1311 = a_1274),
% 0.61/0.81 inference(transitivity,[status(thm)],[75, 1833, 423, 2871, 154])).
% 0.61/0.81 tff(2873,plain,
% 0.61/0.81 (select(a_1311, i3) = select(a_1274, i3)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2872])).
% 0.61/0.81 tff(2874,plain,
% 0.61/0.81 (e_1314 = e_1277),
% 0.61/0.81 inference(transitivity,[status(thm)],[71, 2873, 150])).
% 0.61/0.81 tff(2875,plain,
% 0.61/0.81 (select(a_1311, i0) = select(a_1274, i0)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2872])).
% 0.61/0.81 tff(2876,plain,
% 0.61/0.81 (e_1312 = e_1275),
% 0.61/0.81 inference(transitivity,[status(thm)],[748, 2875, 1689])).
% 0.61/0.81 tff(2877,plain,
% 0.61/0.81 (store(a_1311, i3, e_1312) = store(a_1274, i3, e_1275)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2872, 2876])).
% 0.61/0.81 tff(2878,plain,
% 0.61/0.81 (a_1313 = a_1276),
% 0.61/0.81 inference(transitivity,[status(thm)],[744, 2877, 1688])).
% 0.61/0.81 tff(2879,plain,
% 0.61/0.81 (store(a_1313, i0, e_1314) = store(a_1276, i0, e_1277)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2878, 2874])).
% 0.61/0.81 tff(2880,plain,
% 0.61/0.81 (a_1315 = a_1278),
% 0.61/0.81 inference(transitivity,[status(thm)],[44, 2879, 146])).
% 0.61/0.81 tff(2881,plain,
% 0.61/0.81 (select(a_1315, i9) = select(a_1278, i9)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2880])).
% 0.61/0.81 tff(2882,plain,
% 0.61/0.81 (select(a_1278, i9) = select(a_1315, i9)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2881])).
% 0.61/0.81 tff(2883,plain,
% 0.61/0.81 (select(a_1315, i5) = select(a_1278, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2880])).
% 0.61/0.81 tff(2884,plain,
% 0.61/0.81 (select(a_1278, i5) = select(a_1315, i5)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2883])).
% 0.61/0.81 tff(2885,plain,
% 0.61/0.81 (select(a_1278, i5) = e_1318),
% 0.61/0.81 inference(transitivity,[status(thm)],[2884, 54])).
% 0.61/0.81 tff(2886,plain,
% 0.61/0.81 (e_1316 = select(a_1278, i9)),
% 0.61/0.81 inference(transitivity,[status(thm)],[50, 2881])).
% 0.61/0.81 tff(2887,plain,
% 0.61/0.81 (a_1315 = store(a_1276, i0, e_1277)),
% 0.61/0.81 inference(transitivity,[status(thm)],[44, 2879])).
% 0.61/0.81 tff(2888,plain,
% 0.61/0.81 (store(a_1315, i5, e_1316) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2887, 2886])).
% 0.61/0.81 tff(2889,plain,
% 0.61/0.81 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = store(a_1315, i5, e_1316)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2888])).
% 0.61/0.81 tff(2890,plain,
% 0.61/0.81 (store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)) = a_1317),
% 0.61/0.81 inference(transitivity,[status(thm)],[2889, 58])).
% 0.61/0.81 tff(2891,plain,
% 0.61/0.81 (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2890, 2885])).
% 0.61/0.81 tff(2892,plain,
% 0.61/0.81 (store(a_1317, i9, e_1318) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.81 inference(symmetry,[status(thm)],[2891])).
% 0.61/0.81 tff(2893,plain,
% 0.61/0.81 (a_1319 = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))),
% 0.61/0.81 inference(transitivity,[status(thm)],[35, 2892])).
% 0.61/0.81 tff(2894,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[1714, 2893])).
% 0.61/0.81 tff(2895,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)) = store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[2894, 1698])).
% 0.61/0.81 tff(2896,plain,
% 0.61/0.81 ((a_1282 = a_1319) <=> (store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(transitivity,[status(thm)],[2895, 1699])).
% 0.61/0.81 tff(2897,plain,
% 0.61/0.81 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5))))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2896])).
% 0.61/0.81 tff(2898,plain,
% 0.61/0.81 (~(store(store(store(a_1276, i0, e_1277), i9, select(a_1278, i5)), i5, select(a_1278, i9)) = store(store(store(a_1276, i0, e_1277), i5, select(a_1278, i9)), i9, select(a_1278, i5)))),
% 0.61/0.81 inference(modus_ponens,[status(thm)],[789, 2897])).
% 0.61/0.81 tff(2899,plain,
% 0.61/0.81 (i9 = i5),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[1722, 222, 2898])).
% 0.61/0.81 tff(2900,plain,
% 0.61/0.81 (select(a_1278, i9) = select(a_1278, i5)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2899])).
% 0.61/0.81 tff(2901,plain,
% 0.61/0.81 (select(a_1278, i5) = select(a_1278, i9)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2900])).
% 0.61/0.81 tff(2902,plain,
% 0.61/0.81 (e_1318 = select(store(a_1315, i5, e_1316), i5)),
% 0.61/0.81 inference(transitivity,[status(thm)],[39, 2883, 2901, 2882, 142, 133])).
% 0.61/0.81 tff(2903,plain,
% 0.61/0.81 (store(a_1317, i9, e_1318) = store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[57, 2899, 2902])).
% 0.61/0.81 tff(2904,plain,
% 0.61/0.81 (store(store(a_1315, i5, e_1316), i5, select(store(a_1315, i5, e_1316), i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2903])).
% 0.61/0.81 tff(2905,plain,
% 0.61/0.81 (store(a_1278, i9, e_1279) = store(store(a_1276, i0, e_1277), i5, select(store(a_1276, i0, e_1277), i5))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[145, 2899, 1475])).
% 0.61/0.81 tff(2906,plain,
% 0.61/0.81 (a_1280 = store(a_1276, i0, e_1277)),
% 0.61/0.81 inference(transitivity,[status(thm)],[767, 2905, 1472])).
% 0.61/0.81 tff(2907,plain,
% 0.61/0.81 (store(a_1280, i5, e_1281) = store(store(a_1276, i0, e_1277), i5, select(a_1278, i9))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2906, 67])).
% 0.61/0.81 tff(2908,plain,
% 0.61/0.81 (a_1282 = a_1319),
% 0.61/0.81 inference(transitivity,[status(thm)],[782, 2907, 2889, 1048, 2904, 36])).
% 0.61/0.81 tff(2909,plain,
% 0.61/0.81 ($false),
% 0.61/0.81 inference(unit_resolution,[status(thm)],[789, 2908])).
% 0.61/0.81 tff(2910,plain,(i7 = i1), inference(lemma,lemma(discharge,[]))).
% 0.61/0.81 tff(2911,plain,
% 0.61/0.81 (store(a_1259, i7, e_1260) = store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[123, 2910, 130])).
% 0.61/0.81 tff(2912,plain,
% 0.61/0.81 (store(store(a_1257, i9, e_1258), i1, select(store(a_1257, i9, e_1258), i1)) = store(a_1259, i7, e_1260)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2911])).
% 0.61/0.81 tff(2913,plain,
% 0.61/0.81 (i1 = i7),
% 0.61/0.81 inference(symmetry,[status(thm)],[2910])).
% 0.61/0.81 tff(2914,plain,
% 0.61/0.81 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2913, 1116])).
% 0.61/0.81 tff(2915,plain,
% 0.61/0.81 (a_1261 = store(a_1257, i9, e_1258)),
% 0.61/0.81 inference(transitivity,[status(thm)],[452, 2911, 1111])).
% 0.61/0.81 tff(2916,plain,
% 0.61/0.81 (store(a_1261, i1, e_1262) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2915, 433])).
% 0.61/0.81 tff(2917,plain,
% 0.61/0.81 (a_1263 = store(a_1259, i7, e_1260)),
% 0.61/0.81 inference(transitivity,[status(thm)],[448, 2916, 2914, 1114, 1112, 2912])).
% 0.61/0.81 tff(2918,plain,
% 0.61/0.81 (select(a_1263, i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.61/0.81 inference(monotonicity,[status(thm)],[2917])).
% 0.61/0.81 tff(2919,plain,
% 0.61/0.81 (select(store(a_1259, i7, e_1260), i4) = select(a_1263, i4)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2918])).
% 0.61/0.81 tff(2920,plain,
% 0.61/0.81 (store(a_1296, i1, e_1297) = store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7))),
% 0.61/0.81 inference(monotonicity,[status(thm)],[210, 2913, 1126])).
% 0.61/0.81 tff(2921,plain,
% 0.61/0.81 (store(store(a_1294, i9, e_1295), i7, select(store(a_1294, i9, e_1295), i7)) = store(a_1296, i1, e_1297)),
% 0.61/0.81 inference(symmetry,[status(thm)],[2920])).
% 0.61/0.82 tff(2922,plain,
% 0.61/0.82 (store(a_1249, i8, e_1250) = store(a_1286, i8, e_1287)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2793])).
% 0.61/0.82 tff(2923,plain,
% 0.61/0.82 (a_1251 = a_1288),
% 0.61/0.82 inference(transitivity,[status(thm)],[15, 2922, 331])).
% 0.61/0.82 tff(2924,plain,
% 0.61/0.82 (select(a_1251, i5) = select(a_1288, i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2923])).
% 0.61/0.82 tff(2925,plain,
% 0.61/0.82 (select(a_1251, i5) = e_1291),
% 0.61/0.82 inference(transitivity,[status(thm)],[2924, 239])).
% 0.61/0.82 tff(2926,plain,
% 0.61/0.82 (select(a_1251, i8) = e_1289),
% 0.61/0.82 inference(transitivity,[status(thm)],[475, 478, 2820, 502, 499, 327])).
% 0.61/0.82 tff(2927,plain,
% 0.61/0.82 (store(a_1249, i8, e_1250) = a_1288),
% 0.61/0.82 inference(transitivity,[status(thm)],[2922, 331])).
% 0.61/0.82 tff(2928,plain,
% 0.61/0.82 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(a_1288, i5, e_1289)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2927, 2926])).
% 0.61/0.82 tff(2929,plain,
% 0.61/0.82 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = a_1290),
% 0.61/0.82 inference(transitivity,[status(thm)],[2928, 243])).
% 0.61/0.82 tff(2930,plain,
% 0.61/0.82 (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(a_1290, i8, e_1291)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2929, 2925])).
% 0.61/0.82 tff(2931,plain,
% 0.61/0.82 (store(a_1251, i8, e_1252) = store(store(a_1249, i8, e_1250), i8, select(a_1251, i5))),
% 0.61/0.82 inference(symmetry,[status(thm)],[17])).
% 0.61/0.82 tff(2932,plain,
% 0.61/0.82 (a_1253 = store(store(a_1249, i8, e_1250), i8, select(a_1251, i5))),
% 0.61/0.82 inference(transitivity,[status(thm)],[7, 2931])).
% 0.61/0.82 tff(2933,plain,
% 0.61/0.82 (store(a_1253, i5, e_1254) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2932, 3])).
% 0.61/0.82 tff(2934,plain,
% 0.61/0.82 (a_1255 = a_1292),
% 0.61/0.82 inference(transitivity,[status(thm)],[491, 2933, 1761, 2930, 235])).
% 0.61/0.82 tff(2935,plain,
% 0.61/0.82 (select(a_1255, i4) = select(a_1292, i4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2934])).
% 0.61/0.82 tff(2936,plain,
% 0.61/0.82 (e_1258 = e_1295),
% 0.61/0.82 inference(transitivity,[status(thm)],[461, 2935, 231])).
% 0.61/0.82 tff(2937,plain,
% 0.61/0.82 (select(a_1255, i9) = select(a_1292, i9)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2934])).
% 0.61/0.82 tff(2938,plain,
% 0.61/0.82 (e_1256 = e_1293),
% 0.61/0.82 inference(transitivity,[status(thm)],[640, 2937, 2813])).
% 0.61/0.82 tff(2939,plain,
% 0.61/0.82 (store(a_1255, i4, e_1256) = store(a_1292, i4, e_1293)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2934, 2938])).
% 0.61/0.82 tff(2940,plain,
% 0.61/0.82 (a_1257 = a_1294),
% 0.61/0.82 inference(transitivity,[status(thm)],[636, 2939, 1158])).
% 0.61/0.82 tff(2941,plain,
% 0.61/0.82 (store(a_1257, i9, e_1258) = store(a_1294, i9, e_1295)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2940, 2936])).
% 0.61/0.82 tff(2942,plain,
% 0.61/0.82 (store(a_1259, i7, e_1260) = store(a_1296, i1, e_1297)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2911, 1111, 2941, 1131, 2921])).
% 0.61/0.82 tff(2943,plain,
% 0.61/0.82 (select(store(a_1259, i7, e_1260), i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2942])).
% 0.61/0.82 tff(2944,plain,
% 0.61/0.82 (select(store(a_1296, i1, e_1297), i4) = select(store(a_1259, i7, e_1260), i4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2943])).
% 0.61/0.82 tff(2945,plain,
% 0.61/0.82 (select(a_1296, i7) = select(a_1296, i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2910])).
% 0.61/0.82 tff(2946,plain,
% 0.61/0.82 (select(a_1296, i1) = select(a_1296, i7)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2945])).
% 0.61/0.82 tff(2947,plain,
% 0.61/0.82 (e_1299 = select(store(a_1296, i1, e_1297), i1)),
% 0.61/0.82 inference(transitivity,[status(thm)],[198, 2946, 1199, 1196])).
% 0.61/0.82 tff(2948,plain,
% 0.61/0.82 (store(a_1298, i7, e_1299) = store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[202, 2910, 2947])).
% 0.61/0.82 tff(2949,plain,
% 0.61/0.82 (store(store(a_1296, i1, e_1297), i1, select(store(a_1296, i1, e_1297), i1)) = store(a_1298, i7, e_1299)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2948])).
% 0.61/0.82 tff(2950,plain,
% 0.61/0.82 (store(a_1296, i1, e_1297) = a_1300),
% 0.61/0.82 inference(transitivity,[status(thm)],[1207, 2949, 195])).
% 0.61/0.82 tff(2951,plain,
% 0.61/0.82 (select(store(a_1296, i1, e_1297), i4) = select(a_1300, i4)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2950])).
% 0.61/0.82 tff(2952,plain,
% 0.61/0.82 (select(a_1300, i4) = select(store(a_1296, i1, e_1297), i4)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2951])).
% 0.61/0.82 tff(2953,plain,
% 0.61/0.82 (e_1303 = e_1266),
% 0.61/0.82 inference(transitivity,[status(thm)],[190, 2952, 2944, 2919, 120])).
% 0.61/0.82 tff(2954,plain,
% 0.61/0.82 (store(store(a_1257, i9, e_1258), i1, select(a_1259, i7)) = store(a_1261, i1, e_1262)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2916])).
% 0.61/0.82 tff(2955,plain,
% 0.61/0.82 (store(store(a_1257, i9, e_1258), i7, select(store(a_1257, i9, e_1258), i7)) = store(store(a_1257, i9, e_1258), i1, select(a_1259, i7))),
% 0.61/0.82 inference(symmetry,[status(thm)],[2914])).
% 0.61/0.82 tff(2956,plain,
% 0.61/0.82 (store(a_1259, i7, e_1260) = a_1263),
% 0.61/0.82 inference(transitivity,[status(thm)],[2911, 1111, 1215, 2955, 2954, 449])).
% 0.61/0.82 tff(2957,plain,
% 0.61/0.82 (store(store(a_1259, i7, e_1260), i4, select(a_1263, i5)) = store(a_1263, i4, e_1264)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2956, 982])).
% 0.61/0.82 tff(2958,plain,
% 0.61/0.82 (a_1263 = store(a_1257, i9, e_1258)),
% 0.61/0.82 inference(transitivity,[status(thm)],[448, 2916, 2914, 1114])).
% 0.61/0.82 tff(2959,plain,
% 0.61/0.82 (select(a_1263, i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2958])).
% 0.61/0.82 tff(2960,plain,
% 0.61/0.82 (select(store(a_1257, i9, e_1258), i5) = select(a_1263, i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2959])).
% 0.61/0.82 tff(2961,plain,
% 0.61/0.82 (select(store(a_1257, i9, e_1258), i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2941])).
% 0.61/0.82 tff(2962,plain,
% 0.61/0.82 (select(store(a_1294, i9, e_1295), i5) = select(store(a_1257, i9, e_1258), i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2961])).
% 0.61/0.82 tff(2963,plain,
% 0.61/0.82 (a_1300 = store(a_1294, i9, e_1295)),
% 0.61/0.82 inference(transitivity,[status(thm)],[194, 2948, 1206, 2920, 1130])).
% 0.61/0.82 tff(2964,plain,
% 0.61/0.82 (select(a_1300, i5) = select(store(a_1294, i9, e_1295), i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2963])).
% 0.61/0.82 tff(2965,plain,
% 0.61/0.82 (select(a_1300, i5) = select(a_1263, i5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2964, 2962, 2960])).
% 0.61/0.82 tff(2966,plain,
% 0.61/0.82 (store(a_1294, i9, e_1295) = store(a_1257, i9, e_1258)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2941])).
% 0.61/0.82 tff(2967,plain,
% 0.61/0.82 (store(a_1296, i1, e_1297) = store(a_1259, i7, e_1260)),
% 0.61/0.82 inference(transitivity,[status(thm)],[2920, 1130, 2966, 1112, 2912])).
% 0.61/0.82 tff(2968,plain,
% 0.61/0.82 (store(store(a_1296, i1, e_1297), i4, select(a_1300, i5)) = store(store(a_1259, i7, e_1260), i4, select(a_1263, i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2967, 2965])).
% 0.61/0.82 tff(2969,plain,
% 0.61/0.82 (a_1300 = store(a_1296, i1, e_1297)),
% 0.61/0.82 inference(transitivity,[status(thm)],[194, 2948, 1206])).
% 0.61/0.82 tff(2970,plain,
% 0.61/0.82 (store(a_1300, i4, e_1301) = store(store(a_1296, i1, e_1297), i4, select(a_1300, i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2969, 692])).
% 0.61/0.82 tff(2971,plain,
% 0.61/0.82 (a_1302 = a_1265),
% 0.61/0.82 inference(transitivity,[status(thm)],[688, 2970, 2968, 2957, 1212])).
% 0.61/0.82 tff(2972,plain,
% 0.61/0.82 (store(a_1302, i5, e_1303) = store(a_1265, i5, e_1266)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2971, 2953])).
% 0.61/0.82 tff(2973,plain,
% 0.61/0.82 (a_1307 = a_1270),
% 0.61/0.82 inference(transitivity,[status(thm)],[161, 1238, 179, 1235, 1234, 186, 2972, 116, 113, 96, 109, 99, 84])).
% 0.61/0.82 tff(2974,plain,
% 0.61/0.82 (select(a_1307, i2) = select(a_1270, i2)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2973])).
% 0.61/0.82 tff(2975,plain,
% 0.61/0.82 (select(a_1270, i2) = select(a_1307, i2)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2974])).
% 0.61/0.82 tff(2976,plain,
% 0.61/0.82 (select(a_1270, i2) = e_1310),
% 0.61/0.82 inference(transitivity,[status(thm)],[2975, 80])).
% 0.61/0.82 tff(2977,plain,
% 0.61/0.82 (select(a_1307, i1) = select(a_1270, i1)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2973])).
% 0.61/0.82 tff(2978,plain,
% 0.61/0.82 (select(a_1270, i1) = select(a_1307, i1)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2977])).
% 0.61/0.82 tff(2979,plain,
% 0.61/0.82 (select(a_1270, i1) = e_1308),
% 0.61/0.82 inference(transitivity,[status(thm)],[2978, 388])).
% 0.61/0.82 tff(2980,plain,
% 0.61/0.82 (store(a_1265, i5, e_1266) = store(a_1302, i5, e_1303)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2972])).
% 0.61/0.82 tff(2981,plain,
% 0.61/0.82 (store(a_1269, i0, e_1268) = a_1307),
% 0.61/0.82 inference(transitivity,[status(thm)],[1261, 108, 97, 1260, 115, 2980, 187, 1258, 1236, 180, 1257, 162])).
% 0.61/0.82 tff(2982,plain,
% 0.61/0.82 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = store(a_1307, i2, e_1308)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2981, 2979])).
% 0.61/0.82 tff(2983,plain,
% 0.61/0.82 (store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)) = a_1309),
% 0.61/0.82 inference(transitivity,[status(thm)],[2982, 384])).
% 0.61/0.82 tff(2984,plain,
% 0.61/0.82 (store(store(store(a_1269, i0, e_1268), i2, select(a_1270, i1)), i1, select(a_1270, i2)) = store(a_1309, i1, e_1310)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2983, 2976])).
% 0.61/0.82 tff(2985,plain,
% 0.61/0.82 (a_1274 = a_1311),
% 0.61/0.82 inference(transitivity,[status(thm)],[153, 1268, 1266, 2984, 76])).
% 0.61/0.82 tff(2986,plain,
% 0.61/0.82 (select(a_1274, i3) = select(a_1311, i3)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2985])).
% 0.61/0.82 tff(2987,plain,
% 0.61/0.82 (e_1277 = e_1314),
% 0.61/0.82 inference(transitivity,[status(thm)],[149, 2986, 72])).
% 0.61/0.82 tff(2988,plain,
% 0.61/0.82 (select(a_1274, i0) = select(a_1311, i0)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2985])).
% 0.61/0.82 tff(2989,plain,
% 0.61/0.82 (e_1275 = e_1312),
% 0.61/0.82 inference(transitivity,[status(thm)],[753, 2988, 749])).
% 0.61/0.82 tff(2990,plain,
% 0.61/0.82 (store(a_1274, i3, e_1275) = store(a_1311, i3, e_1312)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2985, 2989])).
% 0.61/0.82 tff(2991,plain,
% 0.61/0.82 (a_1276 = a_1313),
% 0.61/0.82 inference(transitivity,[status(thm)],[758, 2990, 745])).
% 0.61/0.82 tff(2992,plain,
% 0.61/0.82 (store(a_1276, i0, e_1277) = store(a_1313, i0, e_1314)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2991, 2987])).
% 0.61/0.82 tff(2993,plain,
% 0.61/0.82 (a_1278 = a_1315),
% 0.61/0.82 inference(transitivity,[status(thm)],[145, 2992, 45])).
% 0.61/0.82 tff(2994,plain,
% 0.61/0.82 (select(a_1278, i9) = select(a_1315, i9)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2993])).
% 0.61/0.82 tff(2995,plain,
% 0.61/0.82 (select(a_1315, i9) = select(a_1278, i9)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2994])).
% 0.61/0.82 tff(2996,plain,
% 0.61/0.82 (select(a_1315, i9) = e_1281),
% 0.61/0.82 inference(transitivity,[status(thm)],[2995, 68])).
% 0.61/0.82 tff(2997,plain,
% 0.61/0.82 (select(a_1278, i5) = select(a_1315, i5)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2993])).
% 0.61/0.82 tff(2998,plain,
% 0.61/0.82 (e_1279 = select(a_1315, i5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[772, 2997])).
% 0.61/0.82 tff(2999,plain,
% 0.61/0.82 (a_1278 = store(a_1313, i0, e_1314)),
% 0.61/0.82 inference(transitivity,[status(thm)],[145, 2992])).
% 0.61/0.82 tff(3000,plain,
% 0.61/0.82 (store(a_1278, i9, e_1279) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2999, 2998])).
% 0.61/0.82 tff(3001,plain,
% 0.61/0.82 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1278, i9, e_1279)),
% 0.61/0.82 inference(symmetry,[status(thm)],[3000])).
% 0.61/0.82 tff(3002,plain,
% 0.61/0.82 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = a_1280),
% 0.61/0.82 inference(transitivity,[status(thm)],[3001, 768])).
% 0.61/0.82 tff(3003,plain,
% 0.61/0.82 (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(a_1280, i5, e_1281)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3002, 2996])).
% 0.61/0.82 tff(3004,plain,
% 0.61/0.82 (store(a_1280, i5, e_1281) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.61/0.82 inference(symmetry,[status(thm)],[3003])).
% 0.61/0.82 tff(3005,plain,
% 0.61/0.82 (a_1282 = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))),
% 0.61/0.82 inference(transitivity,[status(thm)],[782, 3004])).
% 0.61/0.82 tff(3006,plain,
% 0.61/0.82 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)) = store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3005, 64])).
% 0.61/0.82 tff(3007,plain,
% 0.61/0.82 ((a_1282 = a_1319) <=> (store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.61/0.82 inference(transitivity,[status(thm)],[3006, 53])).
% 0.61/0.82 tff(3008,plain,
% 0.61/0.82 ((~(a_1282 = a_1319)) <=> (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9))))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3007])).
% 0.61/0.82 tff(3009,plain,
% 0.61/0.82 (~(store(store(store(a_1313, i0, e_1314), i5, select(a_1315, i9)), i9, select(a_1315, i5)) = store(store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)), i5, select(a_1315, i9)))),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[789, 3008])).
% 0.61/0.82 tff(3010,plain,
% 0.61/0.82 (i5 = i9),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[793, 222, 3009])).
% 0.61/0.82 tff(3011,plain,
% 0.61/0.82 (store(a_1315, i5, e_1316) = store(store(a_1313, i0, e_1314), i9, select(store(a_1313, i0, e_1314), i9))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[44, 3010, 51])).
% 0.61/0.82 tff(3012,plain,
% 0.61/0.82 (a_1317 = store(a_1313, i0, e_1314)),
% 0.61/0.82 inference(transitivity,[status(thm)],[57, 3011, 41])).
% 0.61/0.82 tff(3013,plain,
% 0.61/0.82 (store(a_1317, i9, e_1318) = store(store(a_1313, i0, e_1314), i9, select(a_1315, i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3012, 39])).
% 0.61/0.82 tff(3014,plain,
% 0.61/0.82 (store(store(a_1313, i0, e_1314), i9, select(a_1315, i5)) = store(a_1317, i9, e_1318)),
% 0.61/0.82 inference(symmetry,[status(thm)],[3013])).
% 0.61/0.82 tff(3015,plain,
% 0.61/0.82 (select(a_1315, i5) = select(a_1278, i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[2997])).
% 0.61/0.82 tff(3016,plain,
% 0.61/0.82 (select(a_1315, i5) = select(a_1315, i9)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3010])).
% 0.61/0.82 tff(3017,plain,
% 0.61/0.82 (select(a_1315, i9) = select(a_1315, i5)),
% 0.61/0.82 inference(symmetry,[status(thm)],[3016])).
% 0.61/0.82 tff(3018,plain,
% 0.61/0.82 (e_1281 = select(store(a_1278, i9, e_1279), i9)),
% 0.61/0.82 inference(transitivity,[status(thm)],[67, 2994, 3017, 3015, 808, 805])).
% 0.61/0.82 tff(3019,plain,
% 0.61/0.82 (store(a_1280, i5, e_1281) = store(store(a_1278, i9, e_1279), i9, select(store(a_1278, i9, e_1279), i9))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[767, 3010, 3018])).
% 0.61/0.82 tff(3020,plain,
% 0.61/0.82 (a_1282 = a_1319),
% 0.61/0.82 inference(transitivity,[status(thm)],[782, 3019, 800, 3000, 3014, 36])).
% 0.61/0.82 tff(3021,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[789, 3020])).
% 0.61/0.82 tff(3022,plain,(~(store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))), inference(lemma,lemma(discharge,[]))).
% 0.61/0.82 tff(3023,plain,
% 0.61/0.82 (i8 = i5),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[266, 3022])).
% 0.61/0.82 tff(3024,plain,
% 0.61/0.82 (store(a_1251, i8, e_1252) = store(store(a_1249, i8, e_1250), i5, select(store(a_1249, i8, e_1250), i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[15, 3023, 32])).
% 0.61/0.82 tff(3025,plain,
% 0.61/0.82 (a_1253 = store(a_1249, i8, e_1250)),
% 0.61/0.82 inference(transitivity,[status(thm)],[7, 3024, 29])).
% 0.61/0.82 tff(3026,plain,
% 0.61/0.82 (store(a_1253, i5, e_1254) = store(store(a_1249, i8, e_1250), i5, select(a_1251, i8))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3025, 3])).
% 0.61/0.82 tff(3027,plain,
% 0.61/0.82 (store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)) = store(a_1253, i5, e_1254)),
% 0.61/0.82 inference(symmetry,[status(thm)],[3026])).
% 0.61/0.82 tff(3028,plain,
% 0.61/0.82 (i5 = i8),
% 0.61/0.82 inference(symmetry,[status(thm)],[3023])).
% 0.61/0.82 tff(3029,plain,
% 0.61/0.82 (select(a_1251, i5) = select(a_1251, i8)),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3028])).
% 0.61/0.82 tff(3030,plain,
% 0.61/0.82 (select(a_1251, i5) = select(store(a_1288, i5, e_1289), i5)),
% 0.61/0.82 inference(transitivity,[status(thm)],[3029, 475, 478, 2820, 502, 499, 1989, 1986])).
% 0.61/0.82 tff(3031,plain,
% 0.61/0.82 (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(a_1288, i5, e_1289), i5, select(store(a_1288, i5, e_1289), i5))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[2796, 3023, 3030])).
% 0.61/0.82 tff(3032,plain,
% 0.61/0.82 (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8))),
% 0.61/0.82 inference(transitivity,[status(thm)],[3031, 1983, 2795, 3027, 20])).
% 0.61/0.82 tff(3033,plain,
% 0.61/0.82 ((store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5))) <=> (store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)))),
% 0.61/0.82 inference(commutativity,[status(thm)],[])).
% 0.61/0.82 tff(3034,plain,
% 0.61/0.82 ((~(store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)) = store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)))) <=> (~(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8))))),
% 0.61/0.82 inference(monotonicity,[status(thm)],[3033])).
% 0.61/0.82 tff(3035,plain,
% 0.61/0.82 (~(store(store(store(a_1249, i8, e_1250), i5, select(a_1251, i8)), i8, select(a_1251, i5)) = store(store(store(a_1249, i8, e_1250), i8, select(a_1251, i5)), i5, select(a_1251, i8)))),
% 0.61/0.82 inference(modus_ponens,[status(thm)],[3022, 3034])).
% 0.61/0.82 tff(3036,plain,
% 0.61/0.82 ($false),
% 0.61/0.82 inference(unit_resolution,[status(thm)],[3035, 3032])).
% 0.61/0.82 % SZS output end Proof
% 0.61/0.82 % E exiting
%------------------------------------------------------------------------------